Answer:
A 36.
Step-by-step explanation:
If x is the number of boys then √x is the number of girls.
x + √x = 42
√x = 42 - x
Squaring both sides:
x = (42 - x)^2
1764 - 84x + x^2 - x = 0
x^2 - 85x + 1764 = 0
(x - 36)(x - 49) = 0
x = number of boys = 49 or 36.
But the total number = 42 so there must be 36 boys. Also √36 = 6 so the answer is 36 boys.
Calculate.
5*10^9/2*10^4
Determine the solution for 0.4(3y + -18) = 1.2y + 7.2.
No solution
Infinite solutions
y = 10
y=6
Answer:
i think its B
Step-by-step explanation:
What is the difference between 5 and 19?
Answer:
14
Step-by-step explanation:
19 - 5 = 14
Answer:
the difference would be 14
Describe in words where cube root of 63 would be plotted on a number line. between 3 and 4, but closer to 3 between 3 and 4, but closer to 4 between 2 and 3, but closer to 2 between 2 and 3, but closer to 3
In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4
How to find the cube rootThe cube root of 63 would be gotten from a calculator when we use this formula
[tex]^3\sqrt{63}[/tex]
The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.
3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4
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Please Help, If you could provide a step by step on how to solve these it'd be greatly appreciated as well <3
Answer:
animals vs. gender:
male dogs: 74.4%
marginal distribution for female animals: 49.4%
weight class vs gender:
marginal distribution for female: 62.0%
males who are underweight: 71.5
overweight individuals: 21.8%
Step-by-step explanation:
animals vs. gender:
male dogs:
there are 43 dogs
and there are 32 male dogs
32 divided by 43
say it like 32.000 ÷ 43 = .744186
move the decimal two times to the right to find your percentage
74.4%
marginal distribution for female animals:
there are 39 females
and 79 animals
39 divided by 79
.49367
move the decimal two times to the right to find your percentage
49.36%
which would approximate to
49.4%
weight class vs gender:
marginal distribution for female:
there are 620 girls
and 1000 people
so, 620 divided by 100
write it like this 620.0 ÷ 1,000
.62
move the decimal two times to the right to find your percentage
62%
males who are underweight:
there are 93 underweight males
and 130 underweight people in total
93 divided by 130
.7153846
move the decimal two times to the right to find your percentage
71.5%
overweight individuals:
there are 218 overweight people and 1000 people in total
218 divided by 1000
.218
move the decimal two times to the right to find your percentage
21.8%
The length of the rectangle is 4 more than the measurement of its width. The area of the rectangle is 12 m2. Find its dimensions.
(Hint: Area of a rectangle =length x width)
Pls help
The length of the rectangle is 6 meters and the width is 2 meters.
What is perimeter?Perimeter is the sum of the lengths of all the sides of a given 2D plane figure.
A rectangle area has a length that is 4 more than its width.
Assuming the width of the rectangle to be x meter,
∴ The length of the rectangle is (x+4) meters.
Also given that the rectangle area is 12 sq meters.
We know, that the area of a rectangle is a product of its length and width.
∴ [ x × (x+4) ] = 12.
x² + 4x = 12.
x² + 4x - 12 = 0.
x² + 6x - 2x - 12 = 0.
x(x+6) -2( x+6) = 0.
(x+6)(x-2) = 0.
x + 6 = 0 Or x - 2 = 0.
x = -6 or x = 2.
We know distance can not be negative so, x = -6 is inadmissible.
So, the width of the rectangle is 2 meters and length is (x+4) = (2+4) = 6 meters.
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Write each equation in logarithmic form.
1/10=10⁻¹
The logarithmic form of the equation is [tex]log_{10}\frac{1}{10}=-1[/tex] .
In mathematics, the logarithmic function is the inverse of power. Then the function is given as f(x) = log x The logarithm base is a. This can be read as the logarithmic base a of x. The two most common bases used in logarithmic functions are base 10 and base e. The logarithm function has several properties that allow the logarithm to be simplified when the input is in the form of products, quotients, or values raised to powers.We have given an equation [tex]\frac{1}{10} =10^{-1}}[/tex] .
Taking log on both sides , we get
[tex]log(\frac{1}{10}) =log(10^{-1})[/tex] ..(1)
Applying the property of logarithm which is given by [tex]loga^b=bloga[/tex] in equation (1) ,we get
[tex]log(\frac{1}{10}) =-log(10)[/tex]
On rearranging the above equation , we get
[tex]\frac{log(\frac{1}{10})}{log10} =-1[/tex] ..(2)
Applying the property of logarithm which is given by [tex]log_xy=\frac{log_ay}{log_ax}[/tex]\
[tex]\frac{log(\frac{1}{10})}{log10}[/tex] can be written as [tex]log_{10}\frac{1}{10}[/tex] using property
Putting in equation (2) , we get
[tex]log_{10}\frac{1}{10}=-1[/tex]
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k/3 +16 as an expression in words
Sometimes in math we describe an expression with a phrase
"2 more than 5"
can be written as the expression
2 + 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)
There are two ways to write the given expression in words
1.The sum of the quotient of the number k by the number 3 and the number 16.
the sum (+)
quotient k/3 = k : 3
2.The sum of the third part of the number k and the number 16.
third part = k/3
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(c) Using your knowledge and abilities show Andrew how to evaluate the expression correctly. State the
correct value.
The correct value of the expression is 9 and to evaluate correctly the multiplication of 2 and 0 that 2(0) must be written 0.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
The constraint of expression is represented as = or <, >.
Given the expression,
x² - 2(x - 3) when x = 3
⇒ x² - 2(x - 3)
⇒ 3² - 2(3 - 3)
⇒ 3² - 2(0)
⇒ 9 - 0
⇒ 9.
Hence "The correct value of the expression is 9".
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The given question is an incomplete complete question shown below in the image ;
Tyrone makes a scale drawing of his backyard. The scale from the backyard to the
drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the
width of Tyrone's actual patio? Show your work.
Answer:The width of the patio on the drawing is 8 in.
Step-by-step explanation:
Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine xx, the number of sets of forks Vani could buy for the restaurant to have enough forks.
The number of sets of forks that Vani can buy for the restaurant is 48.
What is the minimum number of forks that Vani can buy?The first step is to determine the appropriate inequality sign to use:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≥.
(Number of forks per set x number of sets that would be bought) ≥ (number of forks needed - number of forks the restaurant has)
(10 × xx) ≥ (795 - 315)
10xx ≥ 480
xx ≥ 480 / 10
xx ≥48
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4. 1 / 3y + 9 = 12
Linear equations
Answer:
-2.886
Step-by-step explanation:
4.1/3y+9=12
41/10/3y+9=12
41/10=12(3y+9)
41/10=36y+108
41=10(36y+108)
41=360y+1080
41-1080=360y
-1039=360y
y= -1039/360
y= -2.886
3. An example of an irrational number is _____.
A. -17 square root
B. square root of 16
C, -9 square root
D. square root for 1
These two triangles are similar .Find side lengths a and b .Note The two figures are not drawn to scale
2+z×−1/3=3 please help
2 + z * −1/3 = 3
if that is how it is grouped, your answer is -3
WILL MARK BRAINLIEST!! NEED DONE NOW (will only be marked if it is correct)
From the graph of f(x) = 4|x + 1| - 3 given at the end of the answer, we have that:
The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.When a function is increasing and when it is decreasing, looking at it's graph?Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when x increases, y decreases.Hence, from the graph of the function, and the bullet points above, we have that:
The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.
What is the end behavior of the function?It is given by the values of y when x -> ∞.
Hence:
For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.
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Lamont has purchased 20 trading cards and wants to have at least 42 trading cards. write and solve an inequality to find the number of trading cards lamont needs. select all of the true statements.
The inequality which helps to find the number of trading cards Lamont needs, x as required in the task content is; x + 20 >= 42 and it's solution is; x >= 22.
What is the inequality which represents the number of cards needed by Lamont?It follows from the task content that the inequality which represents Lamont's situation as described by the word phrase is required.
First, the word phrase "at least" is represented by the inequality sign, greater or equal to.
Hence, since he has 20 trading cards already and needs at least 42, the number of cards needed x is such that;
x + 20 >= 42.
Hence, the required inequality is as represented above and it's solution is;
x >= 42 -20
x >= 22.
Ultimately, The inequality which helps to find the number of trading cards Lamont needs, x as required in the task content is; x + 20 >= 42 and it's solution is; x >= 22.
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2 + (8 - 4) + 32 * 3
Answer: 102
Step-by-step explanation:
solved
I need help…………………..
Answer:
I believe its 3.5, 6
Step-by-step explanation:
the right arrow points to the last box and after 4 it goes to 5 then 6
the left arrow points at the 3 quarters between 4 and 2 so it's technically 3.5
hope it helps!
Simplify each expression. Use only positive exponents. (3 x⁻⁴ y³)²
The simplified value of the expression using only positive exponents is 9y⁶/x⁸
How to simplify the expression using only positive exponents?The expression is given as
(3 x⁻⁴ y³)²
Apply the law of indices to expand the bracket
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁴*² y³*²
Evaluate the products of exponents
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁸ y⁶
Evaluate the exponents
So, we have
(3 x⁻⁴ y³)² = 9 * x⁻⁸ y⁶
Apply the law of indices to rewrite negative exponent
So, we have
(3 x⁻⁴ y³)² = 9y⁶/x⁸
Hence, the simplified value of the expression using only positive exponents is 9y⁶/x⁸
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Solve the equation using multiplication or division.
-7y=28
Oy=-4
Oy = 4
O y = 14
O y = 35
Answer:
y=-4
Step-by-step explanation:
-7y=28
DIVIDE BY -7
28/-7=-4
Answer=-4
Which of the following are remote interior angles of 26? Check all that apply.
A. 6
B. 5
C. 1
D. 2
E. 4
F. 3
Answer:
The answer is 6 which is A .The density of a certain material is such that it weighs 430 kilograms per cubic foot
of volume. Express this density in grams per cup. Round your answer to the nearest
whole number.
Density ( in grams per cup )= 3593
Density( in kilograms per cubic foot )=430
1 kilogram per cubic foot = 8.36 grams per cup
Density ( in grams per cup )= 3593
The density of a material indicates the density of that material in a specific area. The density of a material is defined as its mass per unit volume. Density is a measurement of how closely matter is packed together. It is a distinct physical property of a specific object. Archimedes, a Greek scientist, discovered the density principle. If you know the formula and understand the units, calculating density is simple. Density is represented by the symbol, which can also be represented by the letter D.
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0.0939 as a fraction
Answer:
0.0939 as a fraction is 939/10000
Step-by-step explanation:
939 all over 10,000
in 0.0939 the point move
PLEASE AWNSER MY QUESTIONS!!!!!!!!!!!!
Answer:
OKKKKKKKKKKKK
Step-by-step explanation:
POST EM PLEASE
Answer:
screenshots
Step-by-step explanation:
press ctrl f5.
A batting average is the ratio of hits to at bats batting averages are expressed as a decimal rounded to the nearest thousandth show two differnt ways if finding how much grater derek jeters batting average than jorge posadas batting average express as a percent
Derek Jeter average was 4.9%greater than Jorge Posada 4.9% expressed as a percent.
To express decimal as percent we need to multiply the decimal with 100 .
The average or mean is defined as the sum divided by the frequency.
Here we have four averages given in decimal
Derek Jeter average in percentage =0.334*100=33.4%
Alex Rodriguez average in percentage=0.286*100=28.6%
Jorge posada average in percentage =0.285*100=28.5%
Hideki Matsui average in percentage=0.274*100=27.4%
From the above percentages Derek Jeter average was 4.9%greater than Jorge Posada =33.4-28.5=4.9%
Or we can say it as Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage.
Hence Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage and Derek Jeter average was 4.9% greater than Jorge Posada 4.9%.
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Simplify the following.
a)
3x y x 2x®
Answer:
Hi i think your question implies that
Step-by-step explanation:
3xy × 2x
=6x²y
pls rate as brainliest
Please help me please help me
Answer:
U'(-2 , -2)
Step-by-step explanation:
U(2 , -2)
Let R be the rotation of center the origin O(0 , 0) and angle 270
Let M(z = x + iy) a point of the plane and its image M'(z' = x' + iy') by the rotation R.
Then
[tex]z^{\prime }=e^{i\frac{3\pi }{2} }\times z[/tex]
Then
x' + iy' = (0 -i)×(x + iy)
Then
x' + iy' = (-i) × (x + iy)
= -ix + y
Then
x' = y and y' = -x
Then
R transform M(x , y) to the point M'(y , -x)
Conclusion :
The image of U(2 , -2) by R is :
U'(-2 , -2)
A sack of bread flour weighs 50. lbs. and costs $9.75.
What is the cost per pound of flour?
What is the cost per ounce of flour?
The cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.
The cost per pound of flour and cost per ounce of flourWeight of a sack of bread flour = 50 lbsCost of a sack of bread flour = $9.75The cost per pound of flour = Cost of a sack of bread flour / Weight of a sack of bread flour
= $9.75 / 50 lbs
= $0.195 per pound
Convert pound(lbs) to ounce:1 pound = 16 ounces
50 pounds = 50 × 16
= 800 ounces
The cost per ounce of flour = Cost of a sack of bread flour / Weight of a sack of bread flour
= $9.75 / 800
= 0.0121875 per ounces
What is unit cost?This is the cost to acquire a unit of a good or service for a specific quantity that is purchased.
Therefore, the cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.
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The table shows the starting and ending elevations of a hiking trail.
Point on Trail
Starting Point
180 ft below sea level
Ending Point 260 ft above sea level
Elevation
How much greater is the elevation of the ending point than the starting point for the trail?
_ft
Answer:
160 people in total
Step-by-step explanation:
The table shows the starting and ending elevations of a hiking trail. Point on Trail Elevation Starting Point 180 ft below sea level Ending Point 260 ft above sea level How much greater is the elevation of the ending point than the starting point for the trail