A new truck can travel 350 miles on 25 gallons of gas.
a
How far can it travel on 60 gallons of gas?
b.
What is the cars gas mileage (miles per gallon)?

The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2

The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.

The formula for calculating the midpoint is expressed as:

[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]

Given the coordinate points p(-10, -8) and (-5, -3).

Calculate the midpoint of pq

[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]

Hence the midpoint of the coordinate pq is (-7.5, -5.5)

Determine the distance pq

pq = √(-3+8)²+(-5+10)²

pq = √(5)²+(5)²

pq = √50

pq = 5√2

Hence the distance between the point pq is 5√2

Learn more on midpoint and distance here: https://brainly.com/question/17498679

The surface area of the hexagonal pyramid is the amount of space on it

The given parameters are:

This is calculated using:

V = 1/3Bh

So, we have:

V = 1/3 * 41.5 * 6

Evaluate the product

V = 83

Hence, the volume of the pyramid is 83 cubic centimeters

This is calculated using:

S = L + B

Given that:

A hexagonal pyramid has 6 lateral sides.

So, we have:

S = 6 * 14 + 41.5

Evaluate

S = 125.5

Hence, the surface area is 125.5 square centimeters

Read more about areas and volumes at:

https://brainly.com/question/1972490

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10

The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.

A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.

Following the steps already shown to transform the given function into the vertex form,

[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]

Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.

Learn more about quadratic equations;

https://brainly.com/question/2263981

Answer:

The answer is D!

Step-by-step explanation:

Answer:

1, -5

Step-by-step explanation:

you can this solve easily

3 - -1 = 4 units down from y = -1

x does not change in this reflection

Answer:

[tex]x=\pm\frac{9}{2}[/tex]

Step-by-step explanation:

I assume you mean [tex]4x^2-81=0[/tex]:

[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]

We were able to work quickly here since the original left-side expression was a difference of squares.

Answer:

Step-by-step explanation:

4x^2 - 81 = 0

(2x - 9)(2x + 9) = 0

x = -9/2, 9/2

Answer: 15

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

188

Step-by-step explanation:

25(7)-(-13)

=175 - 1(-13)

=188

Answer:

Step-by-step explanation:

To determine a volume, you need a volume formula.

Volume:

[tex]\Longrightarrow:\sf{V=l*w*h}[/tex]

Multiply these numbers from left to right.

[tex]\sf{7.1m*5.2m*3.4m=\boxed{\sf{125.5m^{3}}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is Sue or B

Step-by-step explanation:

Sue Paid : 0.12 per ounce when divided

Sarah Paid 0.13 per ounce when divided

Answer:

C, Sarah paid less

Step-by-step explanation:

3.84/32 = 0.12

5.20/40 = 0.13

Sarah paid less per ounce.

Answer:

[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]

Answer:

divided by 3 on both sides

Answer:

Answer:

first of all you have to take the L.C.M of both which will be 100

Step-by-step explanation:

[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]

Answer:

6,000 meters.

Step-by-step explanation:

Denali is 6,190 meters so round it off to 6000.

Answer: 6,200

Step-by-step explanat

Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.

Therefore, the answer should be 6,200

Answer:

x= 3(y+8)/

8

y= 8(x-3)/

3

Answer:

9/33

Step-by-step explanation:

find the total of people that have attended college (9+12+12 =33)

now go to the number of people that are both college and conservative (9)

The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that table shows differences in political ideology, by education, for a random sample of voters.

To find the total of people that have attended college (9+12+12 =33)

P(conservative attended college) = (Type an integer or a simplified fraction)

To the number of people that are both college and conservative (9)

P(conservative attended college) = 9/33

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

4 mg

Step-by-step explanation:

Plug in everything that they have given for the equation

since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.

y = 64(0.5)^4

and solve

y = 4

so there will be 4 mg of iodine-131 left after 32 days.

Answer:

4 mg

Step-by-step explanation:

half- life is 8 days then 32 ÷ 8 = 4 half- lives , then

y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left

Answer:

-1

Step by step explanation:

[tex]\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1[/tex]

Answer:

[tex] \frac{1}{5} [/tex]

Answer: 4(3)^w = 972

Answer:

(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

20 × 2/5 = 8

15 × 2/5 = 6

5 × 2/5 = 2

p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...

yeah, your welcome :)

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

Answer:

this is my answer

5n (5n - 1)

4n (8 + 7) - 20

Answer: 214 degrees

Step-by-step explanation:

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

Answer:

Part A: The slope f(x) is greater than slope g(x).

Part B: f(x) has a greater y-intercept.

Step-by-step explanation:

Part A:

The slope of the line is (y2 - y1)/(x2 - x1), so now we have to find the slope f(x).

-1 - (-9) / 0 - (-1) = 8/1 = 8

That would be the slope, and for g(x) it would be 3x-2 = 3.

Which means the slope f(x) is greater than slope g(x).

Part B:

First the y-intercept has to be put on 0.

So, the when function f(x) passes through point (0, -1), then y-intercept is -1.

Now we compare g(x) = 3x-2 with the slope-intercept form and b = -2 is the result. form and b = -2 is the result.

Which means the slope of g(x) is -2. Therefore, f(x) has a greater y-intercept than g(x).

Answer:

A)  Slope of f(x) is 8.  Slope of g(x) is 3

B)  f(x) has the greater y-intercept

Step-by-step explanation:

Part A

To find the slope of function f(x), use the slope formula:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{7-(-1)}{1-0}=8[/tex]

Therefore, the slope of f(x) is 8.

Linear function

[tex]y=mx+b[/tex]

where:

Given:

Therefore, the slope of g(x) is 3.

Part B

The y-intercept is when x = 0.  Therefore, from inspection of the table, the y-intercept of f(x) is -1.

The y-intercept of function g(x) is -2.

Therefore, as -1 > -2, function f(x) has the greater y-intercept.