Answer:
64
Step-by-step explanation:
because the formula for the volume of a cube is edge (4) to the power of 3
4 to the power of 3 is 64
Twenty-Four students from Edison Elementary School in West Orange, New Jersey took a field trip to the nearby Edison national Historic Site. Each student paid $6.50 to cover the cost of admission and transportation. How much money was collected?
Answer:
$156
Step-by-step explanation:
The Jurassic Zoo charges $14 for each adult admission and $11 for each child. The total bill for the 217 people from a school trip was $2588. How many adults and how many children went to the zoo?
help need pls anewer 1-4
Answer:
1. width is w. length is w + 26
2.
[tex]w \times (w + 26) < 2040[/tex]
3. the width must be less than 34
4. sure, if the width is 10, then the area is 360
Step-by-step explanation:
[tex]w \times (w + 26) < 2040[/tex]
1
Answer:
Step-by-step explanation:
1) Width = w ft
Length = ( w + 26 ) ft
2) Area of floor = length *width
(w + 26)*w < 2040
w*w + 26*w < 2040
w² + 26w - 2040 < 0
3) w² - 34w + 60w - 2040 < 0
w(w - 34) + 60(w - 34) < 0
(w -34)(w + 60) < 0
Ignore w +60 as width wont have a negative value.
w - 34 < 0
w < 34
l = 33 + 26 = 59
Width = 33 and length= 59
Area = length * width = 33 * 59 = 1947 sq. ft
Area ≤ 1947
4) Yes.
If width = 10 , length = 26 + 10 = 36
36* 10 = 360 sq. ft.
So, if it possible to have a n area of 360 sq. ft
Can someone please do this for me?
Jan takes an IQ test at ages 7 and 9. Mike takes an IQ test at ages 5 and 9. Mark takes an IQ test at ages 7 and 10. Jane takes an IQ test at ages 5 and 8. Which child's IQ scores are MOST likely to be more positively correlated
The IQ scores are most likely to be more positively correlated is Jan
Prove that quadrilateral ABCD is a square, using Pythagorean Therom.
How to find the formula for the Pythagorean therom c2=a2+b2
The quadrilateral is in the picture above..
Answer:
See belowStep-by-step explanation:
The given diagram doesn't give enough details to state the quadrilateral is a square.
We see all sides are of same length of 9 units. This could be a rhombus too.
In order this quadrilateral is a square all interior angles should be marked as right angles.
Let's assume the above condition is met.
Find the length of both diagonals:
[tex]AC=\sqrt{9^2+9^2} =9\sqrt{2} \\BD=\sqrt{9^2+9^2} =9\sqrt{2}[/tex]Since both diagonals have same length, the quadrilateral is a square.
Break into two parts
∆ABC and ∆ADCIn∆ABC
[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]
In ∆ADC
[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]
<D=<B=90°ABCD is a square.
Please help, What is the slope of the line???
Answer:
it's 1/2
rise over run
HOPE THIS HELPS
BRAINLIEST PLEASE
Answer:
Slope: 1/2
Step-by-step explanation:
When determining a slope you look at how many units the line is going up by and how much it is going forward/backward by. Look at how much the line is moving per unit upward and look how much the line is moving per unit forward. Then, take these two number and put them in a format of (units upward) / (units forward). In this case, the line is going up by 1 unit while going forward 2 units. Using the same formula we find that the slope is 1/2 or 0.5.
help me plz there are a couple of parts to this
Ashley participated in a triathlon: she swam for 10 minutes at the rate of 40 meters/minute. Then she biked for 40 minutes at the rate of 400 meters/minute. Finally she ran for 25 minutes at the rate of 200 meters/minute. Write a piecewise function expressing the distance d(t) traveled as function of time t
A piecewise function is a function that is applied depending on the
particular interval of the domain.
A piecewise function for the journey can be presented as follows;
[tex]& d(t) = 40\cdot t \text{ if } t\leq 10 \\ \\ &d(t) =400 + 400 \cdot t \text{ if } 10 <t\leq 50 \\ \\ & d(t) = 16,400 + 200 \cdot t \text{ if } 60 <t\leq 85 \end{cases}[/tex]Reasons:
The duration of swimming = 10 minutes
The speed with which she swam = 40 meters /minute
The duration of biking = 40 minutes
The rate at which she biked = 400 meters/minute
The distance in which she ran = 25 minutes
The rate at which she ran = 200 meters/minute
Therefore;
Distance in which Ashley swam, [tex]D_{swim}[/tex] = 10 minutes × 40 m/min = 400 m
Distance of biking, [tex]D_{bike}[/tex] = 40 minutes × 400 m/min = 16,000 m
The distance she ran, [tex]D_{run}[/tex] = 25 minutes × 200 m/minute = 5,000 meters
The time during which she swam = The first 10 minutes = t ≤ 10
The time in which she biked =40 minutes = From 10 minutes to 50 minutes = 10 < t ≤ 50
The time in which she ran after start is 50 < t ≤ 85
Therefore the piecewise function of the above information can be presented as follows;
[tex]& d(t) = 40 \times t \text{ if } t\leq 10 \\ \\ &d(t) =400 + 400 \times t \text{ if } 10 <t\leq 50 \\ \\ & d(t) = 16,400 + 200 \times t \text{ if } 60 <t\leq 85 \end{cases}[/tex]
Learn more about piecewise functions here:
https://brainly.com/question/12578360
https://brainly.com/question/2284278
A rectangular red sticker has a perimeter of 12 millimeters and an area of 8 square millimeters. What are the dimensions of the sticker?
Answer: 9" by 7"
Step-by-step explanation:
let the dimensions of the rectangle be x and y
equation 1: xy=63
equation 2: 2(x+y)=32
first, rearrange the terms
(1′): y=63/x
(2′): y=16−x
(1′)-(2′): 0=63/x−16+x
multiply the equation by x
0=x2−16x+63
0=(x−9)(x−7)
so x = 7 or x = 9
from this, y = 9 when x = 7 and y = 7 when x = 9
so, the dimension of the rectangle is 9″ by 7″
what is the prime number of 65
Answer:
Factors of 65: 1, 5, 13, and 65.
Prime Factorization of 65: 65 = 5 × 13.
Step-by-step explanation:
hope this helps!
Answer:
1, 5, 13, and 65.
Step-by-step explanation:
solve x^2=9 using square root
Answer:
x=3
Step-by-step explanation:
[tex]x^2=9[/tex]
Find the square root of both sides.
[tex]x=\sqrt{9}[/tex]
x=3
A kennel has 48 cats and 28 dogs what is the ratio in the simplest form of dogs to the total number of animals
Answer:
7 : 19
Step-by-step explanation:
There are 28 dogs.
There are 76 animals.
28 : 76
14 : 38
7 : 19
if a grey hound can run 60 mile an hour how many mile can it run in 2 hours?
120 miles
The grey hound can run 60 mph
it is running for 2 miles
60x2 is 120
hope this helped :)
3x-3y=-6 -5x+6y=12 elimination using multiplication
Macie and Seth built sandcastles at the beach. Macie's
sandcastle was 220 cm tall but the wind is blowing away
sand at a rate of 4.8 cm per minute. Seth's sandcastle is 132
cm tall and he is adding sand to it at a rate of 6.2 cm per
minute.
I guess that we want to know when both sandcastles will have the same height. We will see that the castles will have the same height after 8 minutes.
We know that Macie sandcastle height is equal to 220cm and wind blows away sand at a rate of 4.8cm per minute, then the height equation is:
M(t) = 220cm - 4.8cm*t
Where t is time in minutes.
While Seth's sandcastle has an initial height of 132cm and its height increases at a rate of 6.2 cm per minute, then the equation is:
S(t) = 132cm + 6.2cm*t
The castles will have the same height when:
M(t) = S(t)
220cm - 4.8cm*t = 132cm + 6.2cm*t
220cm - 132cm = 6.2cm*t + 4.8cm*t
88cm = 11cm*t
88cm/11cm = t = 8
This means that the castles will have the same height after 8 minutes.
If you want to learn more, you can read:
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A line passes through the points ( – 8, – 10) and (0, – 7). What is its equation in slope-intercept form?
Answer:
-8/17x - 7
Step-by-step explanation:
Y-intercept is -7, since the point (0, -7) is on the y-axis.
-8 to 0 is -8
10 to -7 is -17
Nicholas sent 3,596 text messages in one year. Nicholas sent about the same number of messages each month. About how many text messages did Nicholas send each month?
A: 200
B: 250
C: 300
D: 350
Answer:
D
Step-by-step explanation:
Help please!!!!!!!!!!
5x + 15 = 28
Subtract 15 from both sides:
5x = 13
Divide both sides by 5:
X = 13/5
Answer:
x=13/5Step-by-step explanation:
refer to the attachment
hope it helps
six hundred ninety-seven multiplied by sixty-four
697 x 64 = 44,608.
Hope this helps.
Can someone please help me??
Haley clapped 250 times in one minute. Write and solve a proportion to find the number of ...
Answer:
hold on let me check to see what the answer is
Step-by-step explanation:
Pls help me no links
Answer:
(Listed in bold below.)
Step-by-step explanation:
Part A: Mr. Johnson has a watch that's $60. He increased it by 30%, which is 130% of it's original price. We can divide $60 by 1.30 in order to increase it by 30%.
Mr. Johnson has the watch listed at $78.
Part B: The watch is $88, but has a 15% discount. We need to subtract by 15% (0.15). Multiply 88 by 0.15 to see the total removed. The total removed is $13.20. Subtract that from $88. The total is $74.8, until we add sales tax. To add 5%, multiply $74.8 by 1.05.
The customer paid $78.54 for the watch.
Which of the following circles have their centers on the x-axis?
Check all that apply.
Answer:
just check if the y coordinate for each center is equal to 0
Step-by-step explanation:
What is the result of 31.978 subtracted from 66.4?
34.422
Explanation:A splendiferous teen willing to help,
who listens to "Fight Song,"
stay salty...
a recipe calls for 4 cups of fruit juice for every 5cups of water how much fruit juice is needed for every cup of water?
we have the ratio of fruit juice to water is 4:5 which means each cup of water need 4/5 (or 0.8) cup of fruit juice.
help me plzzzz
somebody
Answer:
false
Step-by-step explanation:
-5,-4,-3,-2,-1,0,1,2,3,4,5
FALSE
Step-by-step explanation:
because in the number line the difference between -5and 5 is 10 because when we put those numbers in number line the distance from 0 to 5 is 5 and the distance from 0 to -5 is 5 addition of this two distances will give us 10 because we do not cosider about direction they found in distance
For f(x) = log3(x - 2), find f^-1(x).
Answer:
3^(x+2)
Step-by-step explanation:
Principal Simons purchases boxes of pens for her school at an online store. The store charges her the same amount for each box of pens plus a flat shipping fee for any number of boxes she purchases. Selected numbers of boxes and the corresponding total cost including the shipping fee for that number of boxes are shown in the table. Let t be a function that models the total cost including the shipping fee, in dollars, to purchase p boxes of pens. Based on the values in the table, which of the following best defines the function t ?
Answer:
it's c
Step-by-step explanation:
What's the reciprocal of 7/12?
Sorry I got a lot of math
Find the equation of the line that passes through the point (2,-6) and is perpendicular to the line y=1/4x-2.
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The line we want is perpendicular to y=1/4x-2. A perpendicular line will have a slope that is the negative inverse of the reference line, so it will have a slope of -4. That gives us:
y = -4x + b
We can find b by entering the given point, (2,-6) and solving for b:
y = -4x + b
-6 = -4*(2) + b
-6 = -8 + b
b = 2
The equation is y = -4x + 2
Check it by graphing (DESMOS works well). Attached.
