You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.
The considered van with full tank(16.2 gallons) can travel 362.88 miles
How to find the distance the van can travel per gallon of gas?Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.
[tex]10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \: gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles[/tex]
Thus, the considered van travels 22.4 miles per gallon of gas.
Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we get
[tex]\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons = 16.2 \times 22.4 \: miles = 362.88 \: miles[/tex]
Thus,
The considered van with full tank(16.2 gallons) can travel 362.88 miles
Learn more about division here:
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What is the product of the polynomial below? (8x+8)(x+3)
Answer:
8x^2+32x+24
Step-by-step explanation:
Use the FOIL method:
(8x+8)(x+3) = 8x^2 +24x +8x +24
Simplify: 8x^2 + 32x +24
Answer:
8x^2 + 32x + 24
Step-by-step explanation:
What's the FOIL method?
For this question, we're going to use something called the FOIL method. First, let's take random polynomials and multiply them together, such as (3x + 2)(5x + 6). FOIL stands for First, Outside, Inside Last. The first numbers would be: (3x + 2)(5x + 6). The outside numbers would be (3x + 2)(5x + 6). The Inside numbers would be (3x + 2)(5x + 6). The last numbers would be (3x + 2)(5x + 6).Solving Product of Polynomial
[tex](8x)(x) + (8x)(3) + (8)(x) + (8)(3)[/tex] [tex]8x^2 + 24x + 8x + 24[/tex] [tex]8x^2 + 32x + 24[/tex]Therefore, the answer is 8x^2 + 32x + 24.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Samantha bought flowers at a craft store for $14.02. She also bought 4 packages of glass beads and 2 vases. The vases cost $3.59 each and the total sales tax was $1.34. The total amount she paid was $28.50,including sales tax. Explain the strategy you would use to find the cost of one package of glass beads
Answer:
It is 0.84
Step-by-step explanation:
It is that because you have to multiply 4 times 14.02 becuase she brought 4 of those. You then have to add 3.59 plus 1.34 plus 28.50 and the total amount that you got from multiplying 14.02 times 4 and the answer you will get is 0.84. Your welcome.
A town has a population of 50,000. it’s rate increase is 8% every 6 months. find the population after 4 years
the sum of the page numbers on two integers facing pages in a book is 941.how many pages does the book have??.
Step-by-step explanation:
x + x+1 = 941
2x + 1 = 941
2x = 940
x = 470
but the question is wrong or cannot be answered bad in the given information.
the question sounds be : what are the page numbers ?
the answer : 470 and 471.
but "how many pages does the book have" cannot be answered.
the book could have 471 pages. but also 2000. or 4000. or, or, or...
it does not change anything about the relationship of the pages 470 and 471. and there is therefore no way to know the total number of pages of the book just by knowing that there are pages 470 and 471.
AND EXPLAIN WHY!! DUE IN 20 MINUTES
Answer:
c. (x -6, y +8)
Step-by-step explanation:
We can tell which answer to choose by looking at the change in the y-coordinate. Point Y is (4, -4). Point Y' is (-2, 4). The new y-coordinate has been translated upward by ...
4 -(-4) = 8 . . . units
That is, y' = y +8. This matches choice C.
The translation of Y(4, -4) to Y'(-2, 4) is described by ...
(x, y) ⇒ (x -6, y +8)
Y(4, -4) ⇒ Y'(4 -6, -4 +8) = Y'(-2, 4)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
Answer:
RP AND ZW
Step-by-step explanation:
Both sides face the same! Although I'm not extremely sure about this, please tell me if it's right or not ! :)
loni rode 2.8 kilometers on a bike.shanita rode 5700 meters on a bike.how many more meters did shnita ride than loni
Answer:
2.9 meters. Step-by-step explanation: Shanita rode more than Loni. She rode 5.7 meters. 5.7 - 2.8 = 2.9.
what is the geometric mean of 8 and 4
Answer:
6
Step-by-step explanation:
Finding the mean: adding numbers and dividing by amount of numbers.
8 + 4 = 12
12/2 = 6
It is 4
:)
hope you are safe
Step-by-step explanation:
On monday,Jayden built a 22.4 inch tall snowman. By Tuesday, it had melted down to 18.6 inches tall? How many inches did the snowman melt?
Esme bought 7 novels. She also bought a dictionary that cost $26. She spent a total of $82.
If each novel cost the same amount, how much did I novel cost?
Answer:
I am sure it's $8
Step by step explanation:
Total money spent= $82
Cost of dictionary= $26
Cost of 7 novels = $82 - $26
= $56
Cost of 1 novel = $56/7
= $8
Therefore, each novel bought by Esme cost $8
Hope it helps ;)
Please mark as brainliest
Can someone tell me what 5/9 + 4/6 = in fractions
Answer:
1 2/9 or 1.2222222222222
Step-by-step explanation:
5/9 + 4/6
= 5 * 2/9 * 2 + 4 * 3/6 * 3
= 10/18 + 12/18
= 10+12/18
=22/18
= 22 ÷ 2/18 ÷ 2
= 11/9 = 1 2/9
Jess is trying to save $100. She saves money each week. The first week she saves
$20.75 then she saves $22.50 and then she saves $26.65. How much more does she
need to save?
Answer:
she needs to save more $30.1
Step-by-step explanation:
more does she need to save = $100 - $20.75 - $22.50 - $26.65 = $30.1
Susan wants to have 30% of her gumballs be green If there are
50 gumballs in the machine, how many would have to be green?
Answer:
15 gumballs
Step-by-step explanation:
There would have to be...
30%*50 green gumballs
We can start by converting 30% to a fraction. Any percentage is just that number over one hundred so...
30/100*50
We can simplify 30/100 by dividing the numerator and the denominator by 10...
3/10*50
Cancel out 10 and 50 (50/10=5)
3*5
15 gumballs would have to be green
Answer:
15 gumballs would have to be green.
To solve this question, you would need to figure out what is 30% of 50.
First, change 30% into it's decimal form, 0.3, then multiply it with 50.
Help me please
I beg you please help me asapp!
Answer:
$756
Step-by-step explanation:
First we identify 6% of 6,300.
= [tex]\frac{6 x 6,300}{100}[/tex]
= 378
Then we multiply 378 by 2, as for it will take 2 years to repay.
=378 × 2
= 756
$756 is the answer.
( Sorry if this is wrong you can delete it if it wasn't useful )
3×3/5 on go math grade 4th
Answer:
1.8?
Step-by-step explanation:
Answer:
1.8
Step-by-step explanation:
[tex]3[/tex] · [tex]\frac{3}{5}[/tex] [tex]=[/tex] [tex]\frac{9}{5}[/tex]
[tex]9[/tex] ÷ [tex]5[/tex] [tex]=[/tex] [tex]1.8[/tex]
Please help me find Sin(g)
Answer:
[tex]sin(G)=\frac{21}{35}[/tex]
Step-by-step explanation:
Solve for line segment CA:
[tex]a^2+b^2=c^2\\\\14^2+(CA)^2=17.5^2\\\\196+(CA)^2=306.25\\\\(CA)^2=110.25\\\\CA=10.5[/tex]
Determine sin(G) which is similar to sin(T)
[tex]sin(G)=\frac{opposite}{hypotenuse}\\ \\sin(G)=\frac{10.5}{17.5}\\ \\G=sin^{-1}(\frac{10.5}{17.5})\\ \\G\approx36.87^\circ[/tex]
Therefore, [tex]sin(G)=\frac{10.5}{17.5}=\frac{21}{35}[/tex] where [tex]m\angle G=36.87^\circ[/tex]
solve the expression
Answer:
1.49011612e18
Step-by-step explanation:
5^20=9.53674316e13
5^6=15625
9.53674316e13*15625=1.49011612e18
Solve for x 3(6 - x) + 2x = 15
HELP PLEASE I GET SO CONFUSED
3(6 - x) + 2x = 15
18 - 3
-3x+2x = 15
18 - x = 15
-x = 15 - 18
-x =- 3
x = 3
easy - peasy
Answer:
x=3
Step-by-step explanation:
PEMDAS
Or parenthesis, exponent, multiply, divide, addition, and subtraction. (Order of operations)
3(6-x) + 2x = 15
Start with multiplying
18 - 3x + 2x = 15
then combine like terms
18 - x = 15
subtract 18 from each side
-x = -3
times each side by -1 to remove the negative
x = 3
One side of a triangle is half the longest side. The third side is 11 feet less than the longest side. The perimeter is
54. Find all three sides.
Answer:
13, 15, 26
Step-by-step explanation
Let one side by "x". The longest side will be 2x, and the 3rd side will be 2x-11. Since they all have to add up to 54, we can form this equation: x+2x+2x-11=54, x=13.
You plug the values back in: (13), 2(13)=26, and 2(13)-11=15.
Use the distributive property to rewrite this expression.
4(y + 6)
Answer:
4y + 24
Step-by-step explanation:
4(y + 6)
(4 * y) + (4 * 6)
(4y) + (24)
4y + 24
Answer:
4y+24, when we multiply 4(y+6) using the distributive property we get 4y+24
Solve M = 2pt^4 - 7px for x
Answer:
p= m over 2t to the 4th power -7x
Step-by-step explanation:
yb better
Help me pleaseeeeeeeeeeeeeee
Answer:
So the top right answer choice (x - 10)² = 80 has the same solution as x² - 20x + 20 = 0
Step-by-step explanation:
Let's solve your equation step-by-step.
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 1: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
Let's try the top right answer choice
(x−10)² = 80
Step 1: Simplify both sides of the equation.
x² − 20x + 100 = 80
Step 2: Subtract 80 from both sides.
x² − 20x + 100 − 80 = 80 − 80
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 3: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? Explain your answer using input and output values. (3 points)
Answer:
See below.
Step-by-step explanation:
"Part A:
(1,5.5)
(2,5)
(3,4.5)
(4,4)
(5,3.5)
(6,3)
Every hour (x value) I subtracted 0.5 from the candle height (y value) since it burns at 0.5 inches per hour.
Part B:
Yes, this is a function because there is a constant relationship between the input and the output.
Part C:
Yes, this will continue to be a function because there is still a constant relationship, even though its different than the first one.
(1,5.7)
(2,5.4)
(3,5.1) ect."
Answer is also here:
https://brainly.com/question/2872549?referrer=searchResults
-hope it helps
Elijah was trying to determine whether one triangle is a dilation of the other. Which statements about his solution are true? Check all that apply.One triangle has side lengths of 3, 6, 7.5. Another triangle has side lengths of 5, 10, 12.5.Elijah’s work:3 is not a factor of 5, so it must be a relationship with addition.3 + 2 = 5. 6 + 2 not-equals 10. 7.5 + 2 not-equals 12.5.Therefore, the triangles are not proportional and cannot form a dilation.Elijah did not know that scale factors can be fractions or decimals greater than zero.Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.Elijah should have compared the ratios Five-thirds = StartFraction 10 Over 6 EndFraction = StartFraction 12.5 Over 7.5 EndFraction to determine if they are equivalent.Elijah needs to know which triangle is the pre-image and which triangle is the image in order to determine if they are proportional.Elijah needs labels on the points to determine which sides correspond when writing the ratios.
Answer:
The First 3 Statements Are Correct.
Step-by-step explanation:
The statements that are false about his solution is Elijah needs labels on the points to determine which sides correspond when writing the ratios.
We are given that;
The statement one triangle is a dilation of the other
Now,
He did not know that scale factors can be fractions or decimals greater than zero. He did not know that dilations are proportional and the relationships are multiplicative, not additive. He should have compared the ratios
[tex]$\frac{5}{3}=\frac{10}{6}=\frac{12.5}{7.5}$[/tex] to determine if they are equivalent.
So, the statements that are true about his solution are:
- Elijah did not know that scale factors can be fractions or decimals greater than zero.
- Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.
- Elijah should have compared the ratios
[tex]\frac{5}{3}=\frac{10}{6}=\frac{12.5}{7.5}[/tex]to determine if they are equivalent.
Therefore, by dilation answer will be Elijah needs labels on the points to determine which sides correspond when writing the ratios.
Learn more about dilation here:
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Find the equation of the line containing the points (20,-7) and (10,-2). Type your answer in this order and don't use spaces or decimals. y=mx+b
[tex](\stackrel{x_1}{20}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{20}}}\implies \cfrac{-2+7}{-10}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3[/tex]
If a circle with a circumference of 16 inches is
circumscribed about a square, what is the length
of a diagonal of the square?
pls help due very shortly
Step-by-step explanation:
the money is 2,121.180 in the next two years
Veronica works at Future Shop and earns $10. 50 per hour, plus 6% commission on sales. Last week Veronica worked 40 hours. What was Veronica's salary if her total sales were $2050?.
Answer:
$543
Step-by-step explanation:
10.50 x 40 =
420
2,050 - 6% =
1,927
2,050 - 1,927 =
123
420 + 123 =
543
Veronica made $543 in the last week including commission
At Fun Burger, the burger master can make 25 hamburgers every 5 minutes. The master’s apprentice can make 35 burgers every 7 minutes. The master says that the apprentice still has much to learn because it takes the apprentice more time to make burgers. The apprentice says that they make the same number of burgers in the same amount of time. With whom do you agree? Explain why.
Answer:
The apprentice
Step-by-step explanation:
They both make 5 burgers a minute because, 25/5=5, and 35/7=5
Answer:The apprentice is right.
Step-by-step explanation:
Shown in picture below
Hope this helps :)
Rich had 8984862 in his bank bought a new car and he now has 5999862 how much did he spend on a new car
