Helllp find each measure.

Answer:

46.6 gallons

Step-by-step explanation:

351.6 miles = 16.4 gallons

1000 miles = x gallons

simply cross multiply

351.6 × x = 1000× 16.4 gallons

351.6x = 16400 gallons

x = 16400÷ 351.6

x= 46.643913538

x = 46.6 gallons (rounded to the tenth place)

Answer:

the measure of <BAC = 60° and

46) option D is not true

Question 45

The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem

2x+3x = 150

5x = 150

x = 150/5

x = 30

angle BAC = 2x = 2*30 = 60 degrees

===================================================

Question 46

Choice A is true because of what I mentioned in the previous problem.

Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.

Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.

Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).

Answer:

y=4x-8 hope this helps:)

Step-by-step explanation:

Hey there!!

You can find the equation of a st.line passing through points using one point formula if only one point is given and slope is given , else find it by using two point formula (if 2 points are given).

Here, the points are, (4,8) and (-1,-12).

Using two point formula,

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Keep all values,

[tex](y - 8) = \frac{ - 12 - 8}{ - 1 - 4} (x - 4)[/tex]

Now, simplify them.

[tex](y - 8) = 5(x - 4)[/tex]

y - 8 = 5x -20

5x -y -20+8 = 0

Therefore, 5x - y -12 = 0 is the required equation.

Hope it helps...

Answer: hahaha. yes.

I think the answer is 3$ because if you divide each item by the price you get 1 3 and 5 3 is more likely to be the middle so that would be your average price the unit rate of each of the items is dividing the price by the number of items to get the price of one item or your unit rate.

Answer:

:))

Step-by-step explanation:

Collect like terms, keeping the integer rules in mind

5. 5a + 9b - 3a + 2b + 4a

   5a + 4a - 3a + 9b + 2b (REARRANGE, if you find it to help)

   6a + 11b

6. 7m + 3n - 8m + 2n + 10m

   7m + 10m - 8m + 3n + 2n

   9m + 5n

10. 10m²n + 5mn + 9m²n - 2mn

     10m²n + 9m²n + 5mn - 2mn

     19m²n + 3mn

Try to do the rest on your own :)

Answer:

x=36

Step-by-step explanation:

-4(-x-1)+2x+3=43

or, 4x+4+2x+3=43( when there is - sign in multiply the sign will be +)

or, 4x+2x+4+3=43( arranging the like terms)

or, 6x+7=43( adding both numbers)

or, 6x=43-7(when there is + sign in one side if it will go to another side it will be -sign)

or, 6x=36(substracting the numbers)

or, x=36/6(when there is multiply in one side there will be divide)

or, x=6

Hope it is helpful for you

Answer:

14 hours, -22 hours

Step-by-step explanation:

10:00 AM to 12:00 PM = 2 hours

12:00 PM to 12:00 AM = 12 hours

12 hours + 2 hours = 14 hours

14 hours - 36 hours = -22 hours

Answer:

y = -1

Explanation:

Because the line is horizontal (intersecting the y-axis), you can ensure that the equation will be y = (a number). You can find which part of the y-axis it intersects by looking at the graph, and it intersects -1.

Answer:

Rational

Step-by-step explanation:

4.5656565656... can be turned into a fraction. The number is a repeating decimal. Repeating decimals are rational numbers.

4.5656565656... = [tex]4\frac{56}{99}[/tex]

Hope this helps.

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

given data

length of the field = 5 yards

Perimeter of the rectangular field = 430 yards.

solution

we consider here length of the field = L

and width of the field = W

as we know length of the field 5yards less than quadruple the width

so here

L = 4W - 5       .....................................1

and  

Perimeter (P) will be here

P = 2(L + W)      ............................................2

put here equation 1 value

430 = 2(4W - 5 + W)  

solve it we get

W = 44

so here put value in eq 1 we het

L = 4W - 5          

L = 4(44) - 5

L = 171

so, length of the field is 171 yards

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250  - This is your value for R, or the Robusta beans.

250 pounds of Robusta beans

Hope this helps!

Answer:

Dollars= $45.46

Step-by-step explanation:

Giving the following information:

Pesos= 1,047.5

Exchange rate:

5 dollars= 115.21

First, we need to determine the exchange rate for 1 dollar:

1 dollar= 115.21/5

1 dollar= 23.042 pesos

Now, for 1,047.5 pesos:

Dollars= total pesos / exchange rate

Dollars= 1,047.5/23.042

Dollars= $45.46

Answer:

45.46 dollars

Step-by-step explanation:

Answer:

≈ 33.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]

   = [tex]\sqrt{(-31)^2+12^2}[/tex]

   = [tex]\sqrt{961+144}[/tex]

    = [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )

Answer:

124.77

Step-by-step explanation:

Matthew opened a checking account with 150

On Monday he bought lunch for 9.30 and wrote a check for 25.75

He deposited 75 on Wednesday

On thursday 65.18 was deducted from the account for his car insurance

The total expenses incurred on Monday can be calculated as follows

=9.30+25.75

= 35.05

This means that 35.05 will be debited from his account

On wednesday, he made a deposit of 75, this implies that a credit will be made to his checking account

On thursday, 65.18 was removed from his account for car insurance

Therefore since the initial balance of the account was 150 then, the remaining money that will be left in his account can be calculated as follows

= 150-35.05+75-65.18

= 124.77

Hence the money remaining in Matthew's account is 124.77

Answer:

The answer is 124.77

Step-by-step explanation

Answer:

Step-by-step explanation:

the perimeter to ABCD is 13

the perimeter to WXYZ is 32.5

the scale factor enlargement is 2.5

Answer:

I think B, AC = 5

Step-by-step explanation:

You can see that the shape, DEF and ABC, both hav a number at the bottom. So We know that there is a scale factor of 2, because 6÷3 is 2. So, if we wanna know what AC is we can divide 10, from DEF, by two, we get 5. So, AC is equal to 5. :)

Answer:

The answer is 24

Step-by-step explanation:

Answer:

140 laps and 7,000 idk on this tho

Step-by-step explanation:

Answer:

x = 1.

Step-by-step explanation:

6 x 1 = 6.

4 x 1=4.

4+6= 10.

10 - 9 = 1.

Answer:

375-300=75

Step-by-step explanation:

Answer:

slope=  4

Step-by-step explanation:

rise=20 run= 5    divide =4

Answer:

a^3 (a^4) = a^7

(2a)(5ab) = 10a^2b

Step-by-step explanation:

Answer: T=4

Step-by-step explanation:

Answer:

T=4

Step-by-step explanation:

When you plug in x, or 6, you get that x-6= -2.

Keeping that in mind, you then have to think what minus 6 equals negative 2, and 4-6= 4

Answer:

8

Step-by-step explanation:

Answer:

6 + 2 = 8

Step-by-step explanation:

you could use a calculator or your fingers!

Answer:

vertical stretch

Step-by-step explanation:

the 8 is outside the sq. root function, meaning it causes a vert. stretch

Answer:

work is shown and pictured

Answer:

x = 11, y = 19.

Step-by-step explanation:

515x + 285y=11,080

x + y = 30

Divide first equation by 5:

103x +57y = 2216

Now multiply the second equation by -57:

-57x - 57y =  -1710

Adding the last 2 equations:

46x = 506

x = 506/46 = 11

Substituting for x in x + y = 30:

11 + y = 30

y = 19.

Answer:

Uh I don't really know where the question was in that sentance, but if your trying to convert it to meters the answer is 204.521 meters.

Step-by-step explanation: