Answer:
4.
Step-by-step explanation:
28 = 2*2*7
32 = 2*2*2*2*2
Picking out the common factors:
GCF = 2 * 2 = 4.
Answer:28
Step-by-step explanation:
ask random person the explanation, sorry, I don't know how to explain
The length of a rectangular garden is 5 feet less than twice its width. If the total distance around the garden is 44 feet, what are the length and width of the garden?
Answer: 78
Step-by-step explanation: multiply 44 by 2 because there are two sides on the rectangle and then you add 5 and 5 because yet again there are two sides so when you get your answer subtract 10 from the 88 and then you get 78 there is your explanation and equation
Rectangle with perimeter 44 ft has its length and breadth 13 ft and 9 ft respectively.
Dimension of rectangle : 13 × 9
Given, that perimeter of rectangle is 44 ft .
Now, perimeter of rectangle is given by:
P = 2(l + b)
l = Length of rectangle .
b = Breadth of rectangle.
Let the breadth of rectangle be 'x' m.
Then length will be (2x -5) ft.
Substitute the values in the perimeter formula,
[tex]44 = 2(x + 2x -5)\\22 = 3x -5\\x = 9[/tex]
Thus the breadth of rectangle is 9 ft .
Length of rectangle is 5 ft less than twice its breadth.
Length = 2(9) - 5
Length = 13 .
Therefore the dimensions of rectangle is 13 × 9.
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the height of a triangle is twice its base the area is 144cm³ find the base
Answer:
12
Step-by-step explanation:
Area of a triangle = 1/2*b*h
[tex]144=(\frac{1}{2})*(2x)*(x)\\12=x[/tex]
HELP HELP HELP HELP HELPPPPPPPPPPPPPPPP!!!!!!!!!!
x=3.4
Im writing this bc the app says the answer is too short
Find the greatest integer that is less than the value of the logarithm. Use your calculator to check your answers.
log 5
We need to know about logarithm to solve this problem. The greatest integer that is less than the value of log 5 is 0.
Logarithm is the exponent that is raised to a base to get a certain number. There are a few rules of algorithm, log a+ log b can be written as log ab, log a -log b can be written as log a/b, when a number whose logarithm is being calculated is raised to a certain power then the power can be directly multiplied to the log itself. Logarithm when written as log has a base of 10, the logarithm of a number that is same as it's base is always 1, the log of 1 is always zero, because any nonzero number raised to 0 is 1.We will find the value of log 5 first and then choose the nearest integer that is less than log 5.
log 5=log 10/2 =log 10-log 2=1-0.30=0.7
Therefore the greatest integer that is less than the value of log 5 is 0.
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The endpoints of CD are C(-8, -1) and D(2,4). Find the coordinates of midpoint M
Answer:
M(-3;3/2)
Step-by-step explanation:
substitute in this formula of finding midpoint coordinate:M(x1+x2÷2;y1+y2÷2)
1/4(4)-5(6)-2 solve step by step.
Answer:
[tex] \rightarrow \sf \: −31[/tex]
Step-by-step explanation:
[tex] \rightarrow \sf \frac{1}{4} (4)-5(6)-2[/tex]
[tex] \rightarrow \sf \: \frac{1}{4} \times \frac{4}{1} - 30 - 2[/tex]
[tex] \rightarrow \sf \: 1 - 30 - 2[/tex]
[tex] \rightarrow \sf \: - 31[/tex]
-64-32+83-13???!!!!
Answer:20
Step-by-step explanation:
Graham drove 423 miles in 13 hours.
a. How many miles did he drive in one hour?
Bron
b. How many hours did he take to drive one mile?
Graham drove 32.58 miles in one hour and it took 1.84 minutes to drive a mile
Miles Graham drove in 13 hours = 423 miles
Unitary method: A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. It is a technique that we employ for the majority of math calculations.
Part a:
Miles driven in one hour = Total miles driven/Total no. of hours taken
= 423/13 = 32.58 miles
Part b:
Hours took to drive a mile = Total no. of hours taken/ Total miles driven
= 13/423 = 0.030 hours or 1.84 minutes
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Select the expression that matches the scenario correctly. On January 1, the high temperature was 81 F in Kona, Hawaii the low temperature was -29 F in Barrow, Alaska. What was the difference between the two temperatures?
A. -29 + 81
B. |89 - 21|
C. |81 - (-29)|
D. 36 divided 6
Option c is correct i.e., |81 - ( -29)|
On January 1, the high temperature was 81 F in Kona and the low temperature was - 29 F in Barrow.
We have to find the difference between the two temperatures.
So the difference between is
= 81 - (- 29)
= 81 + 29
= 110
Therefore the difference the two temperatures is 110.
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a book weighs 4 3/8 pounds. a store needs to mail 5 copies of the book.
create an equation to find how many pounds the books weigh in all.
Seven times the sum of 23 and a number
Answer: 161+7n
Explanation: Let the number be n.
7(23+n)
=161+7n
Hope this helps you! Have a great day!!!!! :) :D
Write an inequality that represents the graph.
A number line from negative 0 to 5. There are 9 evenly spaced marks between negative 0 and 5. The number line is shaded left of a closed circle at negative 4.5.
Inequality:
Answer: x ≤ 4.5
Step-by-step explanation:
Since the inequality goes left and has a closed circle it would be x ≤ 4.5
Solve each equation. Round to the nearest ten-thousandth. Check your answers.
2x=3
After solving the equation, x = 3/2 is the value of x in 2x = 3.
⇒ 2x = 3
⇒ x = 3/2
How to solve an equation?
To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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HELP ILL GIVE U A LOT OF POINTS
Answer/Step-by-step explanation:
f(6) = 3x² - 5
f(6) = 3(6)² - 5
f(6) = 3(36) - 5
f(6) = 108 - 5
f(6) = 103
(x, y) = (6, 103)
I hope this helps!
How long would it take to double your principal in an account that pavs 6.5 % annual interest compounded continuously?
It will take 4.63 years to double the principal.
The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-
A = P[tex]e^{rt}[/tex]
Here r = 6.5%
= 0.065
Let the principal amount be P,
then the amount after t years = 2P
A = P[tex]e^{rt}[/tex]
2P = P[tex]e^{rt}[/tex]
2P/P = [tex]e^{rt}[/tex]
2 = [tex]e^{0.065t}[/tex]
Taking log on both sides-
Log 2 = log [tex]e^{0.065t}[/tex]
Log 2 = 0.065t log e
Log 2 = 0.065t
0.65t = Log 2t
= log 2/ 0.065t
= 0.301/ 0.065 t
= 4.63
Thus, it will take 4.63 years to double the principal.
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Three orders are placed at a sandwich shop. Four sandwiches, two beverages, and
one salad costs $40; two sandwiches, one beverage, and two salads costs $26; and
three sandwiches, three beverages, and two salads costs $38. How much does each
item cost?
The respective prices are given below as
The price of the sandwich is 20/3 dollars.
The salad may be purchased for a price of $16/3.
There is a fee of $2 for the drinks.
How can you build equations that are simultaneous?Let's say that the price of the sandwich is x.
Allow the price of salad to equal y.
Allow the price of drinks to equal z.
The new total for this meal is $46. It includes three sandwiches, three beers, and two salads. Thus;
3x + 3y + 2z = 40 ——- (eq 1)
The price of $29 covers two sandwiches, two drinks, and one salad.
Thus;
2x + 2y + z = 26 ——-(eq 2)
It will cost you $54 for four sandwiches, one drinks, and three salads. Thus;
4x + y + 3z = 38 ———-(eq 3)
The following are the results of concurrently solving the three equations:
x = 20/3
y = 16/3
z = 2
Therefore, the following is how much each item costs:
There is a charge of $20/3 for the sandwich.
The salad may be purchased for a price of $ 16/3.
There is a fee of $2 for the drinks.
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Me ayudan urgente por favor y gracias
The result of the linear expression [tex]5-\frac{t}{3}[/tex] is 1.
What is linear expression?
An algebraic expression that uses either a constant or a variable raised to the first power for each term is known as a linear expression. This means that none of the exponents can be greater than 1.
Given [tex]5-\frac{t}{3}[/tex]
Also given that t = 12
Substitute the value of t and we get
[tex]5-\frac{12}{3}\\=5-4\\=1[/tex]
Therefore, the result of the linear expression [tex]5-\frac{t}{3}[/tex] is 1.
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Find the amount in a continuously compounded account for the given conditions.
principal: $ 6000 ; annual interest rate: 6.8 % ; time: 10 years
The amount after 10 years is $11,842.43
In continuous compounding the number of times by which compounding occurs tends to infinity.
In order to calculate the amount use the following formula
A= Pe^rt
where P represents the initial amount, e is the mathematical constant having value 2.7182, r is the rate of interest and t is the time period
Here the principal amount is $6000, r is 6.8 and time period t is 10 years
A = $6000 x 2.718⁽¹⁰ ˣ ⁶·⁸ %⁾
A = 6000 x 2.718⁽¹⁰ ˣ ⁶·⁸÷¹⁰⁰⁾
A = 6000 x 2.718 x 0.68
A = $ 11,842.43
Therefore the total amount calculated after 10 years is $ 11,842.43
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10) Your friend has a play tepee. The tepee
has a radius of 4 feet and a height of 6
feet. What is the volume of the tepee?
The volume of the tepee is 100.48 feet³
The formula for the volume of tepee is same as the volume of cone which is given as :
V = 1/3 πr²h (1)
where V = volume
r = radius of the tepee
h = height of the tepee
According to the question we have been given that
radius = 4 feet
height = 6 feet
Putting the required values in equation (1) we get
V = 1/3 π (4)²(6)
= 1/3 (3.14)(96)
= 301.44/3
= 100.48 feet³
Hence the volume of the tepee is 100.48 feet³
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+
Using Double Numberlines for Ratios
Use the double numberline to solve the problems.
1)
At a school fundraiser for every 6 boxes of
chocolate sold you earn 4 points. If you were
to sell 42 boxes, how many points would you
have earned?
boxes
points
Name:
1.
M
Answers
Answer:
28 points
Step-by-step explanation:
The Cohen family desperately needs to catch up on doing laundry. Over the weekend, Mr. and Mrs. Cohen got 3 loads done. Now, during the week, they plan to do 1 load per day.
Write an equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x.
y =
The equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x will be y = 3 + x.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
In this case, Cohen family desperately needs to catch up on doing laundry. Over the weekend, Mr. and Mrs. Cohen got 3 loads done. Now, during the week, they plan to do 1 load per day.
The equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x will be:
y = 3 + 1(x)
y = 3 + x
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Y=-4x-2 fill in the table using this function rule
what is 3 (3/8) * -7/3
Answer:
-21/8
Step-by-step explanation:
3 (3/8) * -7/3
= 9/8 * -7/3
= 3/8 * -7
= -21/8
what 30x30x1,000 bydb3yuehwu
Pls help me ASAP. NO ignoring, just give me the answer to my first question.
Unit rate is a rate for one of something. True or false? (NO IGNORING PLEASE)
Answer:
Step-by-step explanation:
True
TRUE AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Simplify. 4√32 + 4√128
The answer after simplification is 48[tex]\sqrt{2}[/tex]
We are required to simplify two values in square root form
Given values are :
4[tex]\sqrt{32}[/tex]+4[tex]\sqrt{128}[/tex]
4([tex]\sqrt{32}[/tex]+[tex]\sqrt{128)}[/tex]
Now we know that
32= [tex]2^{5}[/tex]
128=[tex]2^{7}[/tex]
Putting these values inside the square root,
we know that square root is to the power 1/2
our equation becomes
4([tex]\sqrt{2^{5} } +\sqrt{2^7[/tex])
removing the square root,
4([tex]2^{5/2}+2^{7/2}[/tex])
Now we know that 4 is 2 to the power 2 , and taking 2^5/2 as common, we get:
[tex]2^{2}*2^{5/2}(1+2^{2/2})[/tex]
16[tex]\sqrt{2}[/tex](3)
=48[tex]\sqrt{2}[/tex]
The answer after simplification is 48[tex]\sqrt{2}[/tex]
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The question is 0.65 into a fraction can anyone help me figure this out?
Answer:
If 0.65 is a decimal, then as a fraction it would be 65/100. This can be simplified though. 65 and 100 are both divisble by 5.
100 divided by 5 is 20 and 65 divided by 5 is 13. This is as simplified as it can go, so the answer is 13/20.
For clarification the answer is
13/20
Step-by-step explanation:
fill in the boxes please (gradients)
pls help giving brainliest answers!! :)
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 7x , that is y = 7x + 0 ← in slope-intercept form
with gradient 7 and y- intercept (0, 0 )
--------------------------------------------------------------
y = 6x - 8 ← is in slope- intercept form
with gradient 6 and y- intercept (0, - 8 )
408 x 291 show work pls
Answer: 118728
Step-by-step explanation:
You can just simply find this answer using a calculator.
need help with this question, pls