During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.

3%
6%
13%
22%
​

Answer:

17 nickels

8 dimes

Step-by-step explanation:

n + d = 25

.05n + .10d = 1.65

use substitution:  n = 25-d

.05(25-d) + .10d = 1.65

1.25 - .05d + .10d = 1.65

.05d = .40

d = 8    ∴ n = 17

Answer:

D. 225

Step-by-step explanation:

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.

Answer:

600

Step-by-step explanation:

25x3 (per month) therefore it would be 75 times 8

Answer:

164025

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

I hope this was helpful

Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

Answer:

Step-by-step explanation:

Answer:

x = 136

Step-by-step explanation:

This one is quite simple

The shape formed inside of the circle is a quadrilateral.

when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180

we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180

so x = 180 - 44

180 - 44 = 136

hence, x = 136

Answer:

The answer to this problem is 12.5.

Step-by-step explanation:

The formula for finding the area of a triangle is b * h * 1/2 or divide by 2 (base times height times one-half or two).

Since this is a equilateral triangle, all of the sides are equivalent to each other.  Since we know one of the sides is 5, all of the sides are 5.

5 * 5 = 25

Then you need to multiply this answer by 1/2 or divide by 2, whichever is easier.

25 / 2 = 12.5

The answer is 12.5.

Also, it would be FANTABULOUSLY AMAZING if I could get brainliest!!!

Just sayin, that would be pretty great.

Answer:

Answer:16

Step-by-step explanation: 2x2 is 4

4x4. Is 16w

W stand for width

Step-by-step explanation:

I don't know all of them I guess since I can't see the graphs

Answer:

The graph of the direct variation equation is a straight line through the origin.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the problem stated that the 2 lines are tangent, you can then tell that the triangle is a right triangle.

By using the Pythagorean Theorem, the missing side, "x", is equal to [tex]\sqrt{8.4^2+11.2^2}[/tex], which equals 14

Answer:

(-9, 14)

Step-by-step explanation:

Let the column vector be represented as a = (3, 4) and b = (5, -2)

2a = 2(3,4)

2a = (6,8)

3b = 3(5, -2)

3b = (15, -6)

Take the difference 2a - 3b

2a - 3b = (6,8) - (15, -6)

2a - 3b = (6-15, 8 -(-6))

2a - 3b = (-9, 14)

Hence the column vector is (-9, 14)

We want to find 2a - 3b as a column vector, we will get:

[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

So we want to perform a sum (difference actually) of vectors, we have that:

[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]

Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:

[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]

Now we just perform the direct difference:

[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

If you want to learn more, you can read:

https://brainly.com/question/10435343

Answer:

It is 15!

Step-by-step explanation:

Therefore the answer is x=15 :)

Answer:

a

Step-by-step explanation:

the sign flips when you divide or multiply one

Answer:

B.

Step-by-step explanation:

4x-8>(with a line underneath)12

-8 -8

4x>(with a line underneath)12

/4 /4

x>(with a line underneath)3

It stays the same because you aren't dividing or multiplying by a negative. Only a negative will cause you to flip the inequality sign.

Answer:

32

Step-by-step explanation:

Hello, in (16^5)^1/4, you would multiply the exponents together like this:

16^5 x 1/4= 16^5/4

The exponents multiplied make 5/4. Now you need to multiply 16 with 5/4 like this:

16 x 5/4= 80/4

80 divided by 4 is 32 so therefore, the answer is 32.

Answer:

I think I don't understand the question

Answer:

Step-by-step explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.

Answer: $46.08

Step-by-step explanation:

Find the surface Area of the box

the bases are 12*12= 144 times 2 bases 144*2= 288

The area of each side is 12*18=216 times 4 sides 216*4=864

add the totals together to find the total surface area 288+864=1152

total surface area is 1152 inches. Multiply by the cost per square inch

1152*.04= 46.08

Answer: C 60

Step-by-step explanation:

240 is the square meter, and if each face is the same, u divide 240 by 4 which equals 60

Answer:

Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

Answer:

[tex]y=x+3[/tex]

Step-by-step explanation:

What we need to know

1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope

[tex]x - y = 5[/tex]

Subtract both sides by x

[tex]x - y -x= -x+5\\-y= -x+5[/tex]

Divide both sides by -1

[tex]y= x-5[/tex]

Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.

Plugging 1 as m into [tex]y=mx+b[/tex], we get:

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

2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation

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

Plug in the given point (-5,-2)

[tex]-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:

[tex]y=x+b\\y=x+3[/tex]

I hope this helps!

Answer:

(1,1) and (2,-4)

Step-by-step explanation:

i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help

Answer:

14

Step-by-step explanation:

because the sum of the 2 smaller side have to add up to greater than the larger side

x+4 > 17

x > 13

14 is the next biggest whole number

Answer:

[tex]v=\sqrt{\frac{2E}{m} }[/tex]

Step-by-step explanation:

[tex]E=\frac{mv^2}{2}[/tex]

[tex]2E=mv^2}[/tex]

[tex]v^2=\frac{2E}{m}[/tex]

[tex]v=\sqrt{\frac{2E}{m} }[/tex]