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2 years ago

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Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thou

sandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

1 answer:

Evgen [1.6K]2 years ago

5 0

Answer:

$2.498

Step-by-step explanation:

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Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2

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Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

reasoning: Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.

Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

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2 years ago

Read 2 more answers

confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

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2 years ago

The table shows some of the values of a function of the form y=ax^2+bx+c which is the value of c, the constant, the constant for

cupoosta [38]

Answer:

$c=8$

Step-by-step explanation:

Given: $y=ax^2+bx+c$

To find: c

Solution:

At $x=4,y=48$ :

$48=16a+4b+c$ (i)

At $x=5,y=73$ :

$73=25a+5b+c$ (ii)

At $x=6,y=104$ :

$104=36a+6b+c$ (iii)

On subtracting (i) and (ii),

$25=9a+b$ (iv)

On subtracting (i) and (iii),

$56=20a+2b\\\\28=10a+b \,\,\,\,(v)$

On subtracting (iv) and (v),

$a=3$

Put a=3 in (iv)

$25=9(3)+b\\25=27+b\\25-27=b\\-2=b$

Put $a=3,b=-2$ in (iii)

$104=36(3)+6(-2)+c\\104=108-12+c\\104=96+c\\104-96=c\\8=c$

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2 years ago

Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with g

r-ruslan [8.4K]

Answer:

$44,313.75

Step-by-step explanation:

First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.

0.101 km * 1000= 101 meters

0.065 km * 1000 = 65 meters

Now we need to multiply these values together to find the area of the field

101m * 65m = 6,565 $m^{2}$

Finally, we need to multiply this area by the cost per square meter

6,565 $m^{2}$ / 6.75 = $44,313.75

The total repair will cost $44,313.75

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2 years ago

A byte is used to measure a computer's memory. There are 2^30 bytes in a gigabyte. A computer has an 8 gigabyte memory. Which ex

aksik [14]

Answer:

8x2^30

Step-by-step explanation:

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2 years ago