The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!
Answers
Answer:
Medium
Step-by-step explanation:
Cause that what it is.
Related Questions
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answers
Answer:
see attached
Step-by-step explanation:
Each cube root or square root lies:
∛800: Between 2 and 3
∛101: Between 4 and 5
∛90: Between 4 and 5
∛20: Between 2 and 3
√7: Between 2 and 3
√20: Between 4 and 5
√90: Between 9 and 10
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Here are the steps to find whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10:
Start with the first cube root or square root, ∛800.
Estimate the value of the root.
For ∛800, we can estimate that it's between 8 and 9, since 8 cubed is 512 and 9 cubed is 729.
So, ∛800 must be somewhere in between.
Determine which range the estimated value falls into.
Since 8 is between 2 and 3, ∛800 must also be between 2 and 3.
Repeat the process for the remaining cube roots and square roots, using the same ranges.
Here are the results:
∛800: Between 2 and 3
∛101: Between 4 and 5
∛90: Between 4 and 5
∛20: Between 2 and 3
√7: Between 2 and 3
√20: Between 4 and 5
√90: Between 9 and 10
Thus,
Four of the roots lie between 2 and 3, two lies between 4 and 5, and one lies between 9 and 10.
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∆DEF has vertices D(1, 4), E(3, 5), and F(2, 1). If you reflect ∆DEF across the x-axis, what will be the coordinates of the vertices of the image ∆D′E′F′?
A.) D′(–1, –4), E′(–3, –5), and F′(–2, –1)
B.) D′(–1, 4), E′(–3, 5), and F′(–2, 1)
C.) D′(4, –1), E′(5, –3), and F′(1, –2)
D.) D′(1, –4), E′(3, –5), and F′(2, –1)
Answers
Answer:
D
Step-by-step explanation:
When reflecting points across the x axis, and x coordinate remains the same and y-coordinates become the opposite of the original.
Answer:
it is D
Step-by-step explanation:
John is painting a picture.He has green, red, yellow, purple, orange and blue paint. He wants to use four different colors on this picture. If order does not matter, how many ways can John pick four colors for his picture, if one of them is green?
a
6
b
15
c
10
d
4
Answers
Answer:
c) 10
Step-by-step explanation:
You do 5 C 3 ( because you are choosing 3 from the remaining 5).
5C3 = 5!/(3!2!) = 10
Answer:
C 10
Step-by-step explanation:
He has 6 colours to choose 3 from.
One of them is green, so he just needs to choose 2 from the remaining 5.
That's,
5C2 = 10
Sharon cut a board into 4 pieces of equal size to make a table. Which fraction of the whole board does each piece represent?
Answers
Answer:
1/4
Step-by-step explanation:
Since a board is cut into four parts and we are to determine the fraction for each piece
So it will be 1/total number of pieces
Which will be 1/4
So the fraction for each board will be 1/4
if you borrow $6.65 for 6 years at an interest rate of 10%, how much interest will you pay?
Answers
Answer:
3.99
Step-by-step explanation:
I = PRT
I = 6.65 x .10 x 6
I = 3.99
Answer:
3.99
Step-by-step explanation:
Find the value of t in the equation t + 5 + 3t = 1
Answers
--------------------------------------------------------
t + 5 + 3t = 1
Group like terms:
t+3t+5= 1
Add similar elements:
4t+5=1
Subtract 5 from both sides:
4t+5-5 = 1-5
Simplify:
4t= -4
Divide both sides by 4:
4t/4 = -4/4
Simplify:
t= -1
Your Answer Is t= -1
plz mark me as brainliest :)
Colton has a 1/20 probability of winning the race. Logan has a 15% probability of winning. Who has the greater chance of winning?
A Colton
B Logan
C They have an equal chance
Answers
Answer:
Logan has the greater probability of winning
Step-by-step explanation:
Colton=1/20
=0.05
So the probability of Colton is 0.05
Logan=15%
=15/100
=0.15
So the probability of Logan is 0.15
When comparing the two,it was observed that the Logan has greater probability of winning
Can someone be my tutor I really done get math someone help
Answers
Answer:
what do you need help with?
Step-by-step explanation:
Answer: yes i will be your tutor what is your question.
Step-by-step explanation:
Wayne has 16 3/4 gallons in his car. If he used 2/5 of the gas in his car, how many gallons does he have left
Answers
Answer:
Wayne has 10.05 gallons left.
Step-by-step explanation:
16 3/4 times 2/5 is 6.7
16 3/4 minus 6.7 is 10.05
Wayne has 327/20 gallons of fuel left in his car.
What is a fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.The number on the bottom of the line is called the denominator.
Now it is given that,
Amount of fuel in the car = 16 3/4 gallons = 67/4 gallons
Amount of fuel used = 2/5 gallons
Therefore,
Amount of fuel left in the car = Amount of fuel in the car - Amount of fuel used
⇒ Amount of fuel left in the car = 67/4 - 2/5
⇒ Amount of fuel left in the car = 327/20 gallons
Thus, Wayne has 327/20 gallons of fuel left in his car.
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The number of seconds in any hour has an order of magnitude of 3.
O A. True
O B. False
Answers
Answer:
A. True
Step-by-step explanation:
I could be wrong
True, The number of seconds in any hour has an order of magnitude of 3.
What is order of magnitude?The order of magnitude is the power of 10, a number is raised to when it's in scientific notation.
Given,
No. of seconds in an hour = 3600 seconds
In scientific notation
No. of seconds in an hour = 3.6 × 10³ seconds
Here, 10 is being raised to the third power.
Hence, The number of seconds in any hour has order of magnitude of 3.
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Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
Answers
The answer is The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68. I took the asinmate
The area of the enlarged figure is 327.68 units²
What is scaling ?
It is the method to resize drawing with comparing to true size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
A small rectangle has a length of 8 and width of 4 and a large rectangle has a length of 25.6 and width of a, then
The area of the small rectangle is :
area = length · width
area = (8)(4) = 32 units²
The scale factor is ...
scale factor = greater length / smaller length
= 25.6/8
= 3.2
The area of the greater rectangle will be equals to the small rectangle area multiplied by the square of the scale factor:
(32 units²)(3.2²) = 327.68 units²
Therefore, the area of the enlarged figure is 327.68 units²
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By what percent will the fraction change if its numerator is
increased by 25% and its denominator is increased by 20%?
Answers
Answer:
The fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is
increased by 25% and its denominator is increased by 20%.
Step-by-step explanation:
Let 'n' be the numeratorLet 'd' be the denominatorAs
[tex]100\%\mathrm{\:in\:fractions}=\:1[/tex]
[tex]25\%\mathrm{\:in\:fractions}=\:\frac{1}{4}[/tex]
[tex]20\%\mathrm{\:in\:fractions}=\frac{1}{5}[/tex]
so
Increase in 25% means
[tex]100\%\:+25\%\:=\frac{5}{4}[/tex]
Increase in 20% means
[tex]100\%\:+20\%\:=\frac{6}{5}[/tex]
Thus the fraction becomes
[tex]\:\frac{\frac{5}{4}\times \:n}{\frac{6}{5}\times \:d}[/tex]
[tex]=\frac{\frac{5}{4}n}{\frac{6d}{5}}[/tex]
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times \:d}{b\times \:c}[/tex]
[tex]=\frac{5n\times \:5}{4\times \:6d}[/tex]
[tex]=\frac{25n}{24d}[/tex]
[tex]=1.0417\left(\frac{n}{d}\right)[/tex]
[tex]=1\left(\frac{n}{d}\right)+0.047\left(\frac{n}{d}\right)[/tex]
As
[tex]0.047=4.7\:\%[/tex]
Therefore, the fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is
increased by 25% and its denominator is increased by 20%.
12x+9−20x
HELP ME PLEASE
Answers
Answer:
− 8x+9
Step-by-step explanation:
Seven candidates are running for three different class offices: president, vice president,
and secretary. In how many ways can the offices be filled with these candidates?
Answers
Work Shown:
7 ways to pick the president.
6 ways to pick the VP
5 ways to pick the secretary
7*6*5 = 210 ways to pick the three people from a pool of seven. Order matters because the positions are different. Note the count down from 7 to 6 to 5 which indicates that any given person cannot run for more than one office.
You can use the permutation formula with n = 7 and r = 3
The permutation formula is [tex]_n P_r = \frac{n!}{(n-r)!}[/tex] where the exclamation marks represent factorials.
There are 210 distinct ways to assign seven candidates to three different class offices (president, vice president, and secretary), based on permutation principles.
The question involves finding out in how many ways three different class offices (president, vice president, and secretary) can be filled from a pool of seven candidates. This is a permutations problem because the order in which the candidates are chosen matters (as the offices are distinct). To solve this, we use the permutation formula. For the first office, you have 7 choices (any of the 7 candidates can fill it). Once the first position is filled, you are left with 6 candidates for the second office. Similarly, after filling the second office, there are 5 candidates left for the third office.
Therefore, the total number of ways to fill these positions is the product of these choices, which is calculated as:
7 × 6 × 5 = 210 ways.
This means there are 210 distinct ways to assign these seven candidates to the three available class offices, assuming no candidate can hold more than one office simultaneously.
The following are the temperatures in °C for the first 10 days in January: -5, 0.7, -1.9, 3.5, -9.2, 7.1, -0.6 ,-8.7 ,2.2 ,0.6 Calculate the range.
Answers
Answer:
The range is -16.3
Step-by-step explanation:
The range is the highest number minus the lowest number and if we take a look at this data -5, 0.7, -1.9, 3.5, -9.2, 7.1, -0.6 ,-8.7 ,2.2 ,0.6, we can see that the lowest value is -9.2 and the highest value is 7.1, so we have to minus the lower value from the higher value
-9.2 - 7.1 = -16.3
The range is -16.3
Find the area of a circle with a radius of 3.2 centimeters. Use the pi key and round to nearest tenth.
Answers
4 5 6 7 8 9 10
TIME REMAINING
50:40
Gustavo is in a contest where he will win one of four possible prizes. He creates a four-part spinner to represent the four prizes that he has an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. He spins the spinner several times to demonstrate the likelihood of winning a certain prize.
What is true about Gustavo’s data collection?
Gustavo used an experiment where the data is qualitative.
Gustavo used an experiment where the data is quantitative.
Gustavo used a simulation where the data is qualitative.
Gustavo used a simulation where the data is quantitative.
Answers
Answer:
The answer is qualitative as the prices to be won are different.
Hope this helps
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Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because the filling machine is not perfectly precise. Usually, the distribution of the contents is approximately Normal. An inspector measures the contents of seven randomly selected bottles from one day of production. The results are 275.4, 276.8, 273.9, 275.0, 275.8, 275.9, and 276.1 milliliters. Do these data provide convincing evidence at α = 0.05 that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters? (4 points)
Group of answer choices
Because the p-value of 0.0804 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Because the p-value of 0.0804 is greater than the significance level of 0.05, we reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.
Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Because the p-value of 0.1609 is greater than the significance level of 0.05, we reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.
Because the p-value of 1.5988 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Answers
Answer:
The correct option is;
c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Step-by-step explanation:
Here we have the values
μ = 275 mL
275.4
276.8
273.9
275
275.8
275.9
276.1
Sum = 1928.9
Mean (Average), = 275.5571429
Standard deviation, s = 0.921696159
We put the null hypothesis as H₀: μ₁ = μ₂
Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂
The t-test formula is as follows;
[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}[/tex]
Plugging in the values, we have,
Test statistic = 1.599292
[tex]t_{\alpha /2}[/tex] at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912
Our p-value from the the test statistic = 0.1608723≈ 0.1609
Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.
Answer:
Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Step-by-step explanation:
I took the quiz and got it right
Determine the slope of a line that is parallel to the line y= 1/2x + 5
Select one or more
A. -2
B. -1
C. 1/2
D.5
Answers
Answer:
c
Step-by-step explanation:
your slope will always be infront of x
what is the slope of the line (-4,-4) and (1,4)
Answers
Answer:
8/5
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (4- -4)/(1 - -4)
= (4+4)/(1+4)
=8/5
Answer: answer is 8/5
Step-by-step explanation:
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?
Answers
Answer:
35 Meters
Step-by-step explanation:
Ratio is 12
What I mean by that is 2 turns into 24 because you multiply 12 to it. Same thing for 420, except for the fact that you divide it (working backwards). So 420 divided by 12 equals 35:) Enjoy your day
Answer:
the answer is 35 meters.
PLS HELP I'll mark brainlest!
i need the process too!
Answers
Answer:
19. 1400 ft^2
20. 1680 + 112pi m^3
For 20, a decimal answer would be 2031.86
Step-by-step explanation:
19. Lateral surface area refers to the area without including any horizontal planes(the tops and the bottoms - hence the name lateral). The lateral surface area of this prism is simply 5 equivalent rectangles. Each rectangle has an area of 280(14*20). Thus, the answer is 280*5 = 1400 [tex]ft^{2}[/tex]
20. The volume of a shape such as this(where the horizontal planes are always the same shape) can be calculated by the area of the base times the height. In this case, the area of the base is the semi circle (area of [tex]\frac{4*4*\pi}{2}[/tex]). The area of the rectangle is 15 * 8 = 120. Adding these together gets you 120 + 8pi. Multiplying this by the height of 14 gets you 1680 + 112[tex]\pi[/tex] [tex]m^3[/tex]
Joanna has been saving for retirement for 40 years. She made monthly deposits of $275 and earned 5.6% annual interest, compounded monthly. According to her account documents, after these 40 years, she has a balance of $491,730.35 in her account. How much of this did Joanna contribute and how much of this is interest?
Answers
Joanna deposited $132000 and her interest amount is $359730.35
Step-by-step explanation:
Monthly deposit = $275
Interest = 5.6%
Time = 40 years
After 40 years her account balance = $491730.35
If she deposit $275 monthly then after 40 years she will have deposited ,
= 275 x 12 x 40
= $132000
The remaining is her interest amount.
Interest amount = 491730.35 - 132000
= $359730.35
Joanna deposited $132000 and her interest amount is $359730.35
Jake purchased a box of 1000 candy guitar lollipops to sell bakery for $20 how much did he pay for each lollipop?
Answers
Answer:
50 Cents each i was thinking a dollar but its actually 50 cents:)
Step-by-step explanation:
He paid 5 dollars per lollipop
finding the area of a square is the same as finding the area of rectangle,
Answers
That is true, you multiply the length by the width in a rectangle, and you do the same in a square.
Based on the diagram, what is the value of x?
Answers
Answer:
is it 57
Step-by-step explanation:
Answer:
x = 57
Step-by-step explanation:
x and 57° are vertical angles and congruent, thus
x = 57
Graph the funtion f(x) - -3x + 6
Answers
Answer:
The y intercept is 6 and the slope is -3.
Please see the attached graph.
Austin just got hired for a new job and will make $80,000 in his first year. Austin
was told that he can expect to get raises of $1,500 every year going forward. How
much money in salary would Austin make in his 19th year working at this job? Round
to the nearest tenth (if necessary).
Answers
Answer:
$107,000
Step-by-step explanation:
Austin's salary in his 19th year will include his base pay and 18 raises:
$80,000 + 18×$1500 = $107,000
Austin's salary in his 19th year would be $107,000.
A triangle has an area of 24 meters squared and base length of 8m. Find the height.
Answers
Answer:
h = 6
Step-by-step explanation:
Since 1/2 times the base length times the height equals the area, just work your way backwards to get the answer!
It looks like this
(1/2)8 * h = 24
First multiply 1/2 by 8 to get 4
then divide 4 out of both sides so that h = 6!
Thank me later :)
Answer:
6 is the answer
Step-by-step explanation:
Can someone do 15?!?!?
Answers
Given:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
Value of x:
The value of x can be determined using the trigonometric ratio.
Thus, we have;
[tex]sin \ \theta=\frac{opp}{hyp}[/tex]
Substituting [tex]\theta=x[/tex], the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
[tex]sin \ x=\frac{23}{31}[/tex]
Dividing, we get;
[tex]sin \ x=0.74[/tex]
Taking [tex]sin ^{-1}[/tex] on both sides of the equation, we get;
[tex]x=sin^{-1}(0.74)[/tex]
[tex]x=47.7[/tex]
Rounding off to the nearest whole integer, we get;
[tex]x=48[/tex]
Thus, the value of x is 48°
Hence, Option c is the correct answer.