Find the unit rate for miles per gallon
O 20 miles per gallon
O 25 miles per gallon
O 30 miles per gallon
O 35 miles per gallon

Step-by-step explanation:

speed = distance/speed

= 871/10 ÷ 13/5

= 871/10 × 5/13

= 67/2 = 33.5miles/hour

Given:

The scale of a map is [tex]\dfrac{3}{4}\ in=80\ miles[/tex].

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

[tex]\dfrac{3}{4}\ in=80\ miles[/tex]

It means, 80 miles in real life = [tex]\dfrac{3}{4}\ in[/tex] on the map.

1 mile in real life = [tex]\dfrac{3}{4\times 80}\ in[/tex] on the map.

60 mile in real life = [tex]\dfrac{3\times 60}{4\times 80}\ in[/tex] on the map.

                              = [tex]\dfrac{180}{320}\ in[/tex] on the map.

                              = [tex]\dfrac{9}{16}\ in[/tex] on the map.

Therefore, the buildings are [tex]\dfrac{9}{16}\ in[/tex] apart on the map.

Answer:

a20 = -108

Step-by-step explanation:

53 - 62 = -9

44 - 53  = -9

35 - 44  = -9

Then the intervall is -9

The first number is 63

63 + (19*-9) = 63 - 171 = -108

Answer:

N300

Step-by-step explanation:

Given data

1. Expand -2a(5b-3)

open bracket

=-2a*5b + 2a*3

=10ab+3a

2. combined ratio= 2+3= 5

Dayo's share is #120

let us apply the part to all approach

2/5=120/x

cross multiply

120*5= 2x

600=2x

x= N300

Hence the amount is N300

Answer:

7

Step-by-step explanation:

The answer is 7 square meters

Given:

Cost price of 40 shirts = Birr 220

Selling price of each shirt = Birr 72

To find:

The profit percentage.

Solution:

We have,

Cost price (CP) of 40 shirts = Birr 220

Selling price (SP) of each shirt = Birr 72

So, the selling price (SP) of 40 shirts is:

[tex]72\times 40=2880[/tex]

We need to find the profit percentage.

[tex]\text{Profit percentage}=\dfrac{SP-CP}{CP}\times 100[/tex]

[tex]\text{Profit percentage}=\dfrac{2880-220}{220}\times 100[/tex]

[tex]\text{Profit percentage}=\dfrac{2660}{220}\times 100[/tex]

[tex]\text{Profit percentage}=1209.09\%[/tex]

Therefore, the profit percentage is 1209.09%.

Answer:

Yummy chicken legs

Step-by-step explanation:

I like mcdonals and im a chicken wing

Answer:

82-5(15)=18-75=7

Step-by-step explanation:

Answer:

Triangle DEF is congruent to triangle GHI.

You can use the process of elimination to get that. All three are not because when u look at their angles and their side. Triangle ABC is not like the others. And abc is not congruent to def because of the angles and the sides.

Step-by-step explanation:

:D

Answer: I think you just answered your own question with the first sentence you wrote. Still not sure what the answer is?

The answer is B. or option 2. Triangle DEF is congruent to triangle GHI.

Step-by-step explanation:

The answer was correct on Edge 2022 instructional assignment.

Trust me I got it right the proof is down below.  Best of luck. :)

Answer:

sorry for the messy handwriting- hope this helps

Step-by-step explanation:

Answer:

4 x 4 = 16

5 x 12 = 60

_________+

76

Answer:

[tex] - \frac{8}{\pi} [/tex]

Step-by-step explanation:

Use slope formula.

Rise over run.

Or

y over x.

[tex] \frac{ {y}^{2} - y {}^{1} }{ {x}^{2} - x {}^{1} } [/tex]

Over changes in x value would be - 3/4 pi.

Plug in seepage intervals for x to find y.

[tex]6 \cos(2(\pi) - 4[/tex]

In the regular function,

[tex] \cos(\pi) = 1[/tex]

Since our period is 2, it would stay the same since 1x2=2

Since our amplitude is 6, our y value now is 6.

Since our vertical shift is -4, our y value is 2.

So

[tex]6 \cos(2(\pi)) - 4 = 2[/tex]

[tex] {x}^{2} = \pi \: \: \: \: {y}^{2} = 2[/tex]

Let do the other point,

[tex] \cos( \frac{\pi}{4} ) = \frac{ \sqrt{2} }{2} [/tex]

Our period is 2 so

[tex] \frac{ {\pi} }{4} \times \frac{2}{1} = \frac{\pi}{2} [/tex]

[tex] \cos( \frac{\pi}{2} ) = 0[/tex]

Multiply this by 6.

It stays 0 then subtract 4 we get

[tex]6 \cos(2( \frac{\pi}{4} )) - 4 = - 4[/tex]

Use the earlier formula, slope

[tex] \frac{2 + 4}{ - \frac{3\pi}{4} } = - \frac{8}{\pi} [/tex]

Answer:

Total cost = $5h + $3s

Step-by-step explanation:

total cost of hot dog = price of hot dog x quantity of hot dog = 5 x $h

total cost of softdrink = price of softdrink x quantity of softdrink = $3s

total cost = $5h x $3s

Answer:

(x - 3)(x² + 4)

Step-by-step explanation:

x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )

= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term

= (x - 3)(x² + 4)

Answer:

A.    (4x+1)(2x squared -2)  you would simply distribute the numbers.

4x(2x squared) + 4x(-2) + 1(2x squared) + 1(-2)

Step-by-step explanation:

Answer: Its a whole number. It is a composite number.

Step-by-step explanation:

Answer:

A=87.5

Step-by-step explanation:

Hope im right and this helps you

Answer:

81/293

Step-by-step explanation:

and that is the simplest form because 293 is a prime number

Answer:

12y-10

Step-by-step explanation:

48y - 40/4

because there a 4 equal sides

hope this helps :)

The measure of each side of Octagon is 6y -5.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

p= 48y - 40

The given perimeter is perimeter of Octagon.

Number of sides in Octagon = 8

So, the measure of each side of Octagon

= (48y - 40)/ 8

= 6y -5

Learn more about Algebra here:

https://brainly.com/question/24875240

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Answer: Vertical Angles are the angles opposite each other when two lines cross.

Step-by-step explanation:

Answer:

hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle

Step-by-step explanation:

Answer:

The possible coordinates of point A are [tex]A_{1} (x,y) = (-8, 14)[/tex] and [tex]A_{2} (x,y) = (-8, -10)[/tex], respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

[tex]l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}[/tex] (1)

Where:

[tex]l_{AB}[/tex] - Length of the line segment AB.

[tex]x_{A}, x_{B}[/tex] - x-coordinates of points A and B.

[tex]y_{A}, y_{B}[/tex] - y-coordinates of points A and B.

If we know that [tex]l_{AB} = 15[/tex], [tex]x_{A} = -8[/tex], [tex]x_{B} = 1[/tex] and [tex]y_{B} = 2[/tex], then the possible coordinates of point A is:

[tex]\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15[/tex]

[tex]81 + (2-y_{A})^{2} = 225[/tex]

[tex](2-y_{A})^{2} = 144[/tex]

[tex]2-y_{A} = \pm 12[/tex]

There are two possible solutions:

1) [tex]2-y_{A} = -12[/tex]

[tex]y_{A} = 14[/tex]

2) [tex]2 - y_{A} = 12[/tex]

[tex]y_{A} = -10[/tex]

The possible coordinates of point A are [tex]A_{1} (x,y) = (-8, 14)[/tex] and [tex]A_{2} (x,y) = (-8, -10)[/tex], respectively.

Answer:

15% of the students got d's, and 5% got f's.

Answer:

15% Of Students!

Hope that this helps!!! :)

Answer:

Answer Expert Verified

We are given that there is a 20% sale in the store. Moreover, the sale price of an item is p - 0.2p, where p is the price of the item. So, we get that, p - 0.2p is equivalent to 0.8p

Answer:

12

Step-by-step explanation:

6 times 8 =48

   4            4

4/48=12

Answer:

The answer is in the photo.

Step-by-step explanation:

Start by putting a dot on (0,3). Then go up one and to the right three, and that will be your next dot and then just go from there and keep going up one and to the right three. Then to get the other half of your graph you will do the opposite by going down one and to the left three.

The equation of the line that has a slope of (1/3) and the y-intercept of 3 will be 3y = x + 9.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is 1/3 and the y-intercept of the line is 3. Then the equation of the line is given as,

y = (1/3)x + 3

Simplify the equation, then we have

y = (1/3)x + 3

y = (x + 9) / 3

3y = x + 9

The condition of the line that has an incline of (1/3) and the y-block of 3 will be 3y = x + 9. The graph of the line is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Answer:

x=19/5

Step-by-step explanation:

x*2+8x=38

10x  =38

Answer:

Verify the ratios of corresponding sides are same

ΔABC and ΔXYZ

ΔDEF and ΔXYZ

Define the scale factor and use it to fid the missing sides

Scale factor is:

The other sides:

Answer:

20 CM

Step-by-step explanation:

100 cm = 1 meter

the one meter roope = 100cm

Dvide 100cm by 1/5 to determine the length of each cm

100 cm x 5 = 20

100 cm x 5