The list that shows all the possibilities for the number of toy soldiers Jamal could place in each line is 1, 2, 17 and 34.
How to illustrate the information?From the information, Jamal has 34 toy soldiers. He wants to arrange the soldiers into one or more equal-sized lines.
It should be noted that the factors of 34 are 1, 2, 17, and 34.
Therefore, the list that shows all the possibilities for the number of toy soldiers Jamal could place in each line is 1, 2, 17 and 34.
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A cooler is filled with four liters of water and it is marked every 0.2 l and each bottle holds 4/9 of a liter for for water bottles are filled how much water is left in the cooler
Complete question :
A cooler contains 4 L of water. The cooler has marks on it at every 0.2 L. Water bottles are filled with water from the cooler, and each bottle holds approximately 4/9L. After 4 water bottles are filled, between which two marks is the water level in the cooler? Show your work.
Answer:
2.2 - 2.4 Litre
Step-by-step explanation:
Capacity of cooler = 4L
Marking on cooler = every 0.2L
Capacity of bottle = 4/9 L
Number of bottles filled = 4
Total volume filled = (4/9) * 4 = 16/9 L = 1.78L
Volume of water left in tank :
(4 - 1.78)Litre
= 2.22 litres
Since, the tank is marked at 0.2 L interval ; the water level will be between 2.20 to 2.40 litres
someone i beg u pls help me FAAAST..
Answer: C - 290 kg
700-410=290
the weight of the moose is 290kg greater than the weight of a polar bear
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
THANK YOU SO MUCH FOR THE HELP!!!!!!!!!!!!!
Answers:
Domain: [tex]-2 \le \text{x} \le 2[/tex]Range: [tex]-2 \le \text{y} \le 2[/tex]The relation is not a function========================================================
Explanation:
The domain is the set of possible x values. The left-most point occurs when x = -2, while the right-most point is when x = 2. Therefore, x is between -2 and 2 in which we write [tex]-2 \le \text{x} \le 2[/tex]. Both endpoints are included.
-----------
The range is the set of possible y values. The possible y values are in the interval [tex]-2 \le \text{y} \le 2[/tex] since y = -2 is the smallest y can get, and y = 2 is the largest it can get. Visually we look at the lowest and highest points respectively to find the span of y values.
-----------
This relation is not a function because it fails the vertical line test.
It is possible to pass a single vertical line through more than one point on the curve. For example, the vertical line through x = -1 goes through the points (-1,1) and (-1,-1)
Phrased another way: The input x = -1 leads to more than one output.
A function is only possible if each input in the domain leads to exactly one output.
In the figure below, k | l and m | n. Find the values of y and z.
m
yo
5z 82
#
68°
N
=
11
Answer:
y = 112 and z = 30
Step-by-step explanation:
Since the y angle and the 68 angle are same side exterior angles, they add up to 180
68+y = 180
y = 112
If we take (5z -82) angle's alternate interior angle, we get:
5z-82+112 = 180
5z = 150
z = 30
I WILL GIVE YOU BRANLIEST
Question 1(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
50x + 35 = 190; x = 3.1 hours
50x − 35 = 190; x = 4.5 hours
35x + 50 = 190; x = 4 hours
35x − 50 = 190; x = 6.9 hours
Question 2(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write and solve an equation that represents the following math sentence.
Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5.
24 = 10.5 + 4.5m; m = 60.75
24 = 10.5 + 4.5m; m = 3
24 equals 10.5 plus m over 4.5; m = 3
24 equals 10.5 plus m over 4.5; m = 60.75
Question 3(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write 'five more than three times a number equals 21' as an equation.
3x + 5 = 21
5x + 3 = 21
3x(5) = 21
5x(3) = 21
Question 4(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Three friends ate at a restaurant. They ordered nachos for $19.95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$6.65
$9.24
$18.48
$29.19
Question 5(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write an equation for the following math sentence.
One third times the difference of thirty and a variable is three fourths.
one third times the quantity 30 minus y equals three fourths
one third times the quantity y minus 30 equals three fourths
one third times 30 minus y equals three fourths
one third times y minus 30 equals three fourths
Question 6 (Essay Worth 4 points)
(Writing Two-Step Equations HC)
Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)
Part B: Explain how you know the equation from Part A is correct. (1 point)
Part C: Solve the equation from Part A. Show every step of your work. (2 points)
1) The equation that determines the number of hours worked by the plumber at Jerald's house is A. 50x + 35 = 190; x = 3.1 hours.
2) The equation that represents, "twenty-four equals the sum of 10.5 and the quotient of a number and 4.5" is B. 24 = 10.5 + 4.5m; m = 3.
3) An equation representing 'five more than three times a number equals 21' is A. 3x + 5 = 21.
4) The cost of the jalapeno is B. $9.24.
5) The equations for the mathematics statements are:
a) 1/3(30 - y) = 3/4
b) 30(1/3) - y = 3/4
c) 1/3y - 30 = 3/4
d) 30(1/3) - y = 3/4
6A) The equation to determine the length (x) of each of the five pieces is x = (4.5 - 0.7) ÷ 5.
6B) The above equation is correct because it can be solved to get the length of each of the five pieces.
6C) The solution and steps of the equation in Part A are as follows:
x = (4.5 - 0.7) ÷ 5
x = 3.8 ÷ 5
x = 0.76 feet
Data and Calculations:1) Jerald:
Plumber's fixed charge = $35
Plumber's variable charge per hour = $50
Total charges by plumber = $190
The number of hours worked = 3.1 hours ($190 - $35)/$50
2) 24 = 10.5 + 4.5m; m = 3
24 = 10.5 + 4.5 x 3
24 = 10.5 + 13.5
24 = 24
3) 3x + 5 = 21
3x = 21 - 5
3x = 16
x = 5.333
4) The total amount paid by the three friends = $29.19 ($9.73)
The cost of nachos, including tax and tip = $19.95
The cost of jalapeno, including tax and tip = $9.24 ($29.19 - $19.95)
5) Equations:a) 1/3(30 - y) = 3/4
b) 30(1/3) - y = 3/4
c) 1/3y - 30 = 3/4
d) 30(1/3) - y = 3/4
6) Length of wood = 4.5 feet
The number of equal pieces = 5
Remainder = 0.7 feet
The cut length of the wood = 3.8 feet (4.5 - 0.7)
Length of each cut piece = 0.76 feet
The equation and its solution to determine the length of each of the five pieces are:
x = (4.5 - 0.7) ÷ 5
x = 3.8 ÷ 5
x = 0.76 feet
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What is 3-5 5-3 additive inverses and their properties to find the equivalent expression?
The additive inverse are;
For expression;
a) 3-5
Additive inverse = - 3 - (-5)
For expression;
b) 5 - 3
Additive inverse = - 5 - (-3)
What is additive inverse?
The Property of Additive Inverse states that the summation of a number and it's Additive inverse is zero.
The expressions are;
3 - 5 and 5 - 3
Now, The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0
And, An Additive inverse of a positive integer is a negative integer and vice versa.
For example: 7 - 7 = 0
Here, The additive inverse of 7 = -7
Since, For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.
a) 3 - 5
Hence, Additive inverse = - 3 - (-5)
= -3 + 5
= 2
b) 5 - 3
Hence, Additive inverse = - 5 - (-3)
= - 5 + 3
= - 2
So, The additive inverse are;
For expression;
a) 3-5
Additive inverse = - 3 - (-5)
For expression;
b) 5 - 3
Additive inverse = - 5 - (-3)
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Answer:
3-5:
3+(-5)
-5+3
5-3:
-3+5
5+(-3)
Step-by-step explanation:
hope this helps ya (☆▽☆)
Match the vocab word with the definition:
Question 3 options:
Least Common Denominator
Greatest Common Factor
Integer
Simplifying Fractions
Dimensional Analysis
Factor
1.
It is the largest number that divides exactly into two or more numbers.
2.
Also called reducing means to make the fraction as simple as possible.
3.
The LCM of two or more denominators.
4.
A number that is multiplied by another number.
5.
A procedure of multiplying be conversion factors to divide out common units and convert between different measurements.
6.
All the numbers within the whole number set {0,1,2,3,…} as well as all of the opposites.
1. Least Common Denominator ⇒ The LCM of two or more denominators.
2.Greatest Common Factor ⇒ It is the largest number that divides
exactly into two or more numbers.
3. Integer ⇒ All the numbers within the whole number set {0,1,2,3,…} as
well as all of the opposites.
4. Simplifying Fractions ⇒ Also called reducing means to make the
fraction as simple as possible.
5. Dimensional Analysis ⇒ A procedure of multiplying be conversion factors to divide out common units and convert between different measurements.
6. Factor ⇒ A number that is multiplied by another number.
What is Greatest Common Factor ?
The highest number that divide exactly into two or more numbers is called Greatest Common Factor.
Now, We can match each by the definitions as;
Since, Least Common Denominator is the LCM of two or more denominators.
1. Hence, Least Common Denominator ⇒ The LCM of two or more denominators.
Since, Greatest Common Factor is the largest number that divides exactly into two or more numbers.
Hence, Greatest Common Factor ⇒ It is the largest number that divides exactly into two or more numbers.
Since, All the numbers within the whole number set {0,1,2,3,…} as well as all of the opposites.
Hence, Integer ⇒ All the numbers within the whole number set {0,1,2,3,…} as well as all of the opposites.
Since, Simplifying Fractions also called reducing means to make the fraction as simple as possible.
Hence, Simplifying Fractions ⇒ Also called reducing means to make the fraction as simple as possible.
Since, A procedure of multiplying be conversion factors to divide out common units and convert between different measurements is called
Dimensional Analysis.
Hence, Dimensional Analysis ⇒ A procedure of multiplying be conversion factors to divide out common units and convert between different measurements.
Since, When a number is multiplied by another number then it is called a factors of that number.
So, Factor ⇒ A number that is multiplied by another number.
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Rearrange the formula, V =
2
лr²h
3
ندا
to solve for r.
Answer:
[tex] \sf \: r = \sqrt{V/2πh³} [/tex]
Step-by-step explanation:
V=2πr²h³
Divide both sides by 2πh³
V/2πh³= 2πr²h³/2πh³
V/2πh³ = r²
Flip equation
r² = V/2πh³
Take square root of both sides
√r² = √V/2πh³
∴ r = √V/2πh³
H(x)=-3/5x-3 find the inverse
Answer:
y
=
x
−
3
5
Explanation:
Replace
f
(
x
)
with
y
.
y
=
5
x
+
3
Swap
x
and
y
.
x
=
5
y
+
3
Solve for
y
.
x
−
3
=
5
y
x
−
3
5
=
y
Step-by-step explanation:
Live Fund are selling their holdings at $5,000 per share. How much would Live Fund receive
if they sold half their holdings in Marks Brother
Harp Pensions: 12%
PRH: 19%
USS Oils: 8%
Live Fund 24%
Marks Family 32 %
Trust
Given data,
Live Fund are selling their holdings at $5,000 per share
Sale price of Live Fund holding = 5000 dollar
To find:
Amount that Live Fund will get if they sell half of their holding in Marks Brothers.
Assume the total number of shares held by Live Fund in Marks Brothers as A
Therefore, half the holdings (or half the number of shares) of Live Fund will be.
= A/2
Thus, if each share is valued at $5000,
Then the total value of the number of shares sold will be as follows,
= 5000 × A/2 dollars
= [tex]\frac{5000*A}{2}[/tex] dollars
= 2500 A dollars
Hence, Live Fund will receive $2500 A
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Solve the
|2x + 1 ≥-7
I assume you mean
[tex]|2x + 1| \ge -7[/tex]
The absolute value function is non-negative, so
[tex]|2x+1| \ge0 > -7[/tex]
is true for all [tex]x[/tex]; any value of [tex]x[/tex] is a solution to this inequality. (infinitely many solutions)
Convert each equation into slope intercept form. 2x+2y=10
Answer:
Y = -X + 5
Step-by-step explanation:
I want this equation in the form
y = mx = b
2x + 2y = 10 Subtract 2x from both sides of the equations
2y = -2x + 10 Now divide everything by 2
y = -1x + 5
or
y = -x + 5
Hayley and Maxwell are jogging on a track. Hayley jogs 3/4 mile in 1/6 hour. Maxwell jogs 2/3 mile in 2/15 hour. Who is faster? How much faster? Show your work.
Maxwell is faster than Hayley by 0.5 miles per hour
How to calculate the average speed of both Hayley and Maxwell ?
The first step is to calculate the average speed of Hayley
Average= distance/time
3/4÷1/6
= 3/4 × 6/1
= 9/2
= 4.5
The next step is to calculate the average speed of Maxwell
= 2/3 ÷ 2/15
= 2/3 × 15/2
= 5
The difference between the average speed of both individuals
= 5-4.5
= 0.5
Hence Maxwell is faster than Hayley by 0.5 miles per hour
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Question 2 (1 point
There are 4 strawberries, 3 blueberries, 7 bananas and 4 oranges. Find is the ratio of oranges choose the ratio that is the simplest form
The ratio of oranges to the fruits is 2 : 9 in the simplest form.
We are given that we have:
4 strawberries
3 blueberries
7 bananas
and 4 oranges.
So, the total fruits we have are:
Total fruits = 4 + 3 + 7 + 4
Total fruits = 7 + 11
Total fruits = 18 fruits
Now, we need to find the ratio of oranges in these fruits.
Ratio refers to the representation of one number with respect to the other number.
So, the ratio will be:
Ratio = 4 : 18
Simplifying the ratio, we get that:
Ratio = 2 : 9
Therefore, the ratio of oranges to the fruits is 2 : 9 in the simplest form.
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Match each poly nominal on the left to its description on the right
Answer:
Fill in the blanks to declare sum equal to a + b (int _ = a __b)An integer data type can hold decimal values.
Answer:
See below
Step-by-step explanation:
See attached pic
Degree refers to the highest exponent
-nomial refers to the number of terms
Write a six-digit number with a 5 in the ten thousands place and a 2 in the ones place?
Answer:
105,342
Step-by-step explanation:
It is valid.
The length of students' college careers at Anytown University is known to be normally distributed with a mean length of 5.5 years and a standard deviation of 1.75 years. What percent of students have college careers lasting between 2 and 9 years?
The per cent of students who have college careers lasting between 2 and 9 years is 95%.
Given that, the normally distributed with a mean length of 5.5 years and a standard deviation of 1.75 years.
What is a normal distribution?The normal distribution is a continuous probability distribution that is symmetrical around its mean with most values near the central peak.
Let x be the length of student's college careers.
\mu = 5.5 years
\sigma = 1.75 years
A percentage of students have college careers lasting between 2 and 9 years.
P(2<=x<=9)=P (2-5.5<=x-5.5<=9-5.5)
P(2<=x<=9)=P (-3.5<=x-5.5<=3.5)
=P (-3.5/1.75<=(x-5.5)/1.75<=3.5/1.75)
We know if x =-=N (4.6^2)
Then x-\mu/\sigma =-= Z (0.1)
=P(-2<=Z<=2)
=0.95
Percentage = P(-2<=Z<=2)*100
=95%
Therefore, the per cent of students who have college careers lasting between 2 and 9 years is 95%.
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Question 3
What is WX? Explain your reasoning.
W
30°
BIUX² X₁
Z
10
60 45%
Y
15px
45%
X
AVA
E
Check the picture below.
|ax+b| = c
solve for a
Simplify the expression
(
7
a
5
b
6
)
4
.
Answer: Simplify the expression ( 7 a 5 b 6 ) 4 is = 2401 [tex]a^{20}[/tex] [tex]b^{24}[/tex]
Step-by-step explanation:
Given data,
Expression is = (7 a 5 b 6) 4
So, we can write,
Expression is = (7a^(5)b^(6))^(4)
= [tex][7a^{5} b^{6} ]^{4}[/tex]
Use the power rule [tex](ab)^{n}[/tex] = [tex]a^{n} b^{n}[/tex] to distribute the exponent.
We can use this formula,
Apply the product rule to [tex][7a^{5} b^{6} ]^{4}[/tex]
= [tex][7a^{5} ]^{4}[/tex] [tex][b^{6} ]^{4}[/tex]
Apply the product rule to [tex]7a^{5}[/tex]
= [tex]7^{4} [a^{5} ]^{4} [b^{6} ]^{4}[/tex]
Raise 7 to the power of 4,
= 2401 [tex][a^{5} ]^{4} [b^{6}]^{4}[/tex]
Multiply the exponents in [tex][a^{5} ]^{4}[/tex]
Apply the power rule and multiply exponents, [tex][a^{m} ]^{n}[/tex] = [tex]a^{mn}[/tex]
= 2401 [tex]a^{5*4}[/tex] [tex][b^{6} ]^{4}[/tex]
Multiply 5 by 4,
we can write,
= 2401 [tex]a^{20}[/tex] [tex][b^{6} ]^{4}[/tex]
Multiply the exponents in [tex][b^{6} ]^{4}[/tex]
Apply the power rule and multiply exponents, [tex][a^{m} ]^{n}[/tex] = [tex]a^{mn}[/tex]
= 2401 [tex]a^{20}[/tex] [tex]b^{6*4}[/tex]
Multiply 6 by 4,
we can write,
= 2401 [tex]a^{20}[/tex] [tex]b^{24}[/tex]
Therefore,
Simplify the expression ( 7 a 5 b 6 ) 4 is = 2401 [tex]a^{20}[/tex] [tex]b^{24}[/tex].
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A father is three times as old as his son. After 4 years, his age will be 4 times his son's age 2 years ago. Find their present age.
The present age of the father is 36 and the present age of the son is 12 years.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a father is three times as old as his son. After 4 years, his age will be 4 times his son's age 2 years ago.
Let the present age will be "F" and "S". The equations will be solved as:-
F = 3S
F + 4 = 4 ( S - 2 )
F + 4 = 4S - 8
3S + 4 = 4S - 8
S = 12 years
F = 3S
F = 3 x 12 = 36 years
Therefore, the present age of the father is 36 and the present age of the son is 12 years.
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If y(x) is the solution of the differential equation
[tex] \rm{xdy - ( {y}^{2} - 4y)dy = 0 \: for \: x > 0, \: \: \: \: \: \: \: y(1) = 2,}[/tex]
& the slope of the curve y=y(x) is never zero, then the value of [tex]\rm{10y( \sqrt{2} )}[/tex] is
I assume the equation is
[tex]x \, dy - (y^2 - 4y) \, dx = 0[/tex]
since separating variables leads to
[tex]x\,dy = y(y-4) \, dx[/tex]
[tex]\dfrac{dy}{y(y-4)} = \dfrac{dx}x[/tex]
for which the condition that [tex]x>0[/tex] is actually relevant, as opposed to the simpler differential equation
[tex]x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx[/tex]
(though it's a bit more work to solve for [tex]y(x)[/tex] in this case)
That the slope [tex]\frac{dy}{dx}[/tex] is non-zero tells us that
[tex]\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4[/tex]
Integrate both sides.
[tex]\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x[/tex]
On the left, expand into partial fractions.
[tex]\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x[/tex]
[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C[/tex]
With the given initial value, we find
[tex]y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0[/tex]
so the particular solution is
[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|[/tex]
By definition of absolute value, with the initial condition of [tex]0 < y=2 < 4[/tex] and the condition [tex]x>0[/tex], we can remove the absolute values.
[tex]\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)[/tex]
Solve for [tex]y[/tex].
[tex]\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)[/tex]
[tex]\dfrac{4-y}y = \dfrac4y - 1 = x^4[/tex]
[tex]\implies y(x) = \dfrac4{1 + x^4}[/tex]
Then
[tex]10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}[/tex]
On the off-chance you meant the other equation I suggested, we find
[tex]\displaystyle \int y(y-4) \, dy = \int x \, dx[/tex]
[tex]\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C[/tex]
[tex]y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6[/tex]
Solving for [tex]y(x)[/tex] involves picking the right branch of the cube root that agrees with [tex]y(1)=2[/tex]. With the cube root formula, we find
[tex]y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)[/tex]
where
[tex]\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}[/tex]
With a calculator, we find
[tex]10y\left(\sqrt2\right) \approx 18.748[/tex]
a mechanic charges $150 per hour,plus the cost of parts to fix your car if the parts cost $257 write an equation to model the total cost use h as the variable for the number of hours in rakes the mechanic to fix your car and c as the cost
The Equation representing the charge to be to paid to mechanic is -
c = 150h + 257.
What is Equation modelling?Equation modelling is defined as a method for deriving a mathematical relation from a mathematical statement taking into consideration the variables defined and the relations between them.
Given is a mechanic who charges $150 per hour. He also charge the cost of parts to fix the car.
Assume that the mechanic worked for 'h' hours and 'c' represents the total cost of repair. Extra cost of parts is $257.
If the mechanic works for 'h' hours, then the money received by the mechanic will be → $150 x h.
The equation representing the above situation can be written as -
c = $150 x h + Extra parts charge.
c = 150h + 257
Therefore, equation representing the charge to be to paid to mechanic is - c = 150h + 257.
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help help help help help help help
Answer:5
Step-by-step explanation:look on my page
Solve the following equations, explain and check your solution.
2(x-3) -17=13-3(x+20)
2(x-3)-17=13-3(x+20)
2x-6-17=13-3x-60
2x-23=-3x-47
5x-23=-47
5x= -24
Answer:
x = -4.8
Step-by-step explanation:
Is 3.778 a rational number
Answer:
No
Step-by-step explanation:
This is an irrational number... Hope this helps!!
Which of the following lines is not parallel to the graph of y = 3x+9?
a.
3x-y = 10
C.
3y-x-10
b. y-3x = 11
d. 6x-2y=10
Please select the best answer from the choices provided
OA
OB
C
OD
HELP NOW ASAP RN RN FAST
Simplify the following expression: (-5)(-3)(4) (1 point)
-65
-60
60
65
Answer: The following expression: (-5)(-3)(4) = 60
Step-by-step explanation:
Given that,
The following expression is : (-5)(-3)(4)
Let us assume,
These values represented by X1, X2, X3
Let us assume, X1 = -5
X2 = -3
X3 = 4
So, the following expression is: (X1)(X2)(X3)
(-5)(-3)(4)
This values using by multiplication,
So, we can write,
= (X1)(X2)
= (-5)(-3) [sign (-) (-) = (+)]
= 15
Therefore, X1X2 values = 15
We can solve X3 value,
= (X1)(X2)(X3)
= 15 (X3)
Replace X3 value,
= 15(X3)
= 15 (4)
= 60
Therefore, (X1)(X2)(X3) = 60
The following expression: (-5)(-3)(4) = 60
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3+ (2 + 5) = (n + 2) + 5 n=
Answer:
Step-by-step explanation:
the answer is 7
if Dr. I.M. smart mixes 30mL of acid into 50 ml of a 20% acid solution, what is the quantity and concentration of the final solution?
the final solution is ______ mL with ______ % concentration
thank you so much for the help!
The final solution which Dr. I.M. smart made is 80 ml with 50% acid concentration.
What is concentration ?Concentration determine how much percentage of a certain type of liquid is there in the whole mix of two or more than two liquids.
According to the given question Dr. I.M smart mixes 30ml of acid in 50ml of 20% acid solution.
Let us assume that in 50ml of 20% acid solution x ml is acid
∴ (20/100)×50 = x.
(1000/100) = x
x = 10ml.
Now he adds 30 ml of acid into this so total acid in this concentration is (10+30) ml = 40 ml and remaining concertation has 40 ml of other quantity.
∴ The total solution is now of 80 ml.
So the final solution is 80ml with 50% acid and 50% other concentration.
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