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Musya8 [376]
3 years ago
12

Robert's car uses 5 gallons of gas to cover 170 miles. At this rate, how many gallons will he need for a 255-mile trip?

Mathematics
1 answer:
Talja [164]3 years ago
4 0
170/5 = 34 mi/gallon
255/34 = 7.5 gallons
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What the y-intercept of (8,0) and (3,7)
Anettt [7]

Answer:

\sf \bf y - intercept = \dfrac{56}{5}

Step-by-step explanation:

Y-intercept:

   (8,0)  ; x₁ = 8 & y₁ = 0

   (3,7)   ; x₂= 3  & y₂ = 7

  • First find the slope of the line.

      \sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}

                  \sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}

 slope y-intercept form of the line:  y = mx + b

Substitute the slope and x and y in the above equation. We can choose anyone of the given points.

     0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}

3 0
2 years ago
Please help. Thank you!
katrin2010 [14]

Answer:

3a. ⇒ 2700 cm³

3b. ⇒ 72,900 cm³

3c. ⇒ 27

Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

∴ Its volume = base area × height

∵ Base shaped square with side length 15 cm

∴ Area of base = 15 × 15 = 225 cm²

∵ The model height = 12 cm

∴ She needs = 225 × 12 = 2,700 cm³ of plaster

3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

∴ The height = 12 × 3 = 36 cm

∴ The area of the base = 45 × 45 = 2,025 cm²

∴ She needs = 2025 × 36 = 72,900 cm³ of plaster

3c.

∵ Each length in the actual stage is 3 times the model

∴ The volume of the actual stage = (3)³ the volume of the model

∴ The volume of the actual stage = 27 the volume of the model

<em>To check your answer:</em>

Volume actual ÷ Volume model = 72,900 ÷ 2700 = 27

3 0
3 years ago
I NEED HELP ASAP!!!!!
lara31 [8.8K]

Answer:

W = 2.5d + 62

Step-by-step explanation:

The calf weighed 62 pounds when they were born. This gives us a base of 62 pounds - the calf cannot weigh less than 62 pounds and it does on day 0. On each day , the calf gains 2.5 pounds. We can times the number to days by 2.5 to get the gain from day 0. We can add these two values together to get the total current weight of the calf.

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What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)? 2 x superscript 4 baseline minus 3 x cubed minus eleven-halves 2
evablogger [386]

The answer choice which represents the quotient of the polynomials given is; 2x² +x -3.

<h3>What is the quotient of the polynomial division?</h3>

According to the task content, the quotient of the polynomial division; (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is required;

Hence, it follows from long division of polynomials that the required quotient is; 2x² +x -3.

Read more on quotients of polynomials;

brainly.com/question/24662212

#SPJ4

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Which of the following sentences is correct?a. The greater the number of independent variables measured, the easier it is to int
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Answer:

b. The greater the number of independent variables measured, the more difficult it is to interpret higher-order interactions.

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