Combine the like terms to create an equivalent expression:
42 – (-32)

PLS HELP

The total number of miles the car can travel in 6 hours is A. 6x miles per hour

To calculate the miles the car will travel in six hours

By using the formula of Distance = Rate * Time

Given that,

Average rate is given as "x" miles per hour

the time = 6 hours

To calculate the total miles in 6 hours = x * 6 miles per hour

Total miles = 6x miles per hour

Therefore, the total number of miles the car can travel in 6 hours is 6x miles per hour

the the original price be x

[tex]x - \frac{30}{100} x = 84 \\ \frac{100x - 30x}{100} = 84 \\ 70x = 8400 \\ x = \frac{8400}{70} \\ x = 120[/tex]

so the original price was $120

Answer: original price b4 30% discount was $120

Step-by-step explanation:

If at 30% discount, baseball glove is $84

It means 70% = 84

100% = x

Cross multiply

70x = 8400

x = 120

Answer:

Twenty minus (20 -) the product of four and a number (4n) is (=) four (4) is written algebraically as: 20-(4n) = 4 Subtract 4 from both sides.

Step-by-step explanation:

mark brainliest

Answer:

x=-18

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well we'd just solve the equation!

-7+1=-1+x/3+1

-6*3=x/3*3

x=-18

And to check:

-1+-18/3

-1-6=-7

^u^

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

-7 = -1 + [tex]\frac{x}{3}[/tex]

To solve this you must isolate x.

On the right side of the equation the one is negative. To cancel the -1 from the right side you must add 1 to both sides (what you do to one side you do to the other) since addition is the opposite of subtraction (negative). Doing this will make -1 zero on the right side of the equation and bring it over to the left side

-7 + 1 = -1 + 1 +  [tex]\frac{x}{3}[/tex]

-6 = 0 +  [tex]\frac{x}{3}[/tex]

-6 =  [tex]\frac{x}{3}[/tex]

The x is being divided by 3 and the opposite of division is multiplication.  To completely isolate x you must multiply 3 to both sides. This will cancel the three out on the right side of the equation and bring it over the left side.

-6 * 3 = [tex]\frac{x}{3}[/tex] * 3

-18 = x

Now check:

-7 = -1 + [tex]\frac{-18}{3}[/tex]

-7 = -1 + (-6)

-7 = -7

^^^This is true which means that x = -18

I hope this helped! Let me know if you have any questions

~Just a girl in love with Shawn Mendes

Answer:

6i

Step-by-step explanation:

[tex]\sqrt{-36} = \sqrt{36} * i = 6 * i = 6i[/tex]

The square root of a negative number can always be simplified by doing this:

1) take the negative sign out of the square root.

2) multiply by i.

Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

The complete question is

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=\frac{x}{2}\ units[/tex] ----> the radius is half the diameter

[tex]V=\pi x^{3}\ units^3[/tex]

substitute the given values  in the formula of volume

[tex]\pi x^3=\pi (\frac{x}{2})^{2}h[/tex]

solve for h

simplify

[tex]x=(\frac{1}{4})h[/tex]

[tex]h=4x\ units[/tex]

Verify each statement

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

[tex]A=\pi r^{2}[/tex]

[tex]r=\frac{x}{2}\ units[/tex]

substitute

[tex]A=\pi (\frac{x}{2})^{2}[/tex]

[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

Answer:

The distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Step-by-step explanation:

From the given the diagram

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-2,\:-1\right)\mathrm{\:and\:}\left(3,\:1\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(3-\left(-2\right)\right)^2+\left(1-\left(-1\right)\right)^2}[/tex]

[tex]=\sqrt{\left(3+2\right)^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+2^2}[/tex]

[tex]=\sqrt{25+4}[/tex]

[tex]=\sqrt{29}[/tex]

Therefore, the distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Answer:

it is the square root of 29

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3854

Step-by-step explanation:

Step-by-step explanation:

base=5m

height=12

Pythagoras formula A2+b²=c2

so 12²+5²

144+25=169

so

√169=13m

Answer: 3 wires of 13 m =39m

Base side = 5m

Vertical side = 12m

Hypotenuse = length of one wire.

5^2 + 12^2 = Hypotenuse^2

Hypotenuse = 13m

3 wires of 13m length = 39m

Answer: B

Step-by-step explanation:

Answer: 70 miles long

Step-by-step explanation:

7/10 x 100 = 70

its 70 miles long

Final answer:

The great bicycle race is 70 miles long.

Explanation:

To find the length of the great bicycle race, we need to multiply the length of the 100-mile astounding race by 7/10. Since 7/10 is a fraction, we can represent it as 7 divided by 10. Multiplying by a fraction is the same as multiplying the numerator by the same factor as the denominator. Therefore, we can multiply 100 by 7 and divide by 10 to find the length of the great bicycle race.

There are a few ways to do this computation. One way is to multiply 100 by 7, which equals 700, and then divide 700 by 10. The result is 70 miles. Therefore, the great bicycle race is 70 miles long.

Maya travels  [tex]4.19 feet/sec[/tex] faster than Kelly !

Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]

Step-by-step explanation:

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ [tex]Distance = 2\pi r[/tex]

⇒ [tex]Distance = 2(3.14) 9[/tex]

⇒ [tex]Distance = 56.52feet[/tex]

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ [tex]Distance = 2\pi r[/tex]

⇒ [tex]Distance = 2(3.14) 17[/tex]

⇒ [tex]Distance = 106.76feet[/tex]

Therefore , Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]

Now , Speed of both is give by

⇒ [tex]Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec[/tex]   And ,

⇒ [tex]Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec[/tex]

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels  [tex]4.19 feet/sec[/tex] faster than Kelly !

Answer:

he needs  15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.

Step-by-step explanation:

20+20+20+10+10= 80

95-80= 15

10+5= 15

1 x 15= 15

5 x 3 = 15

therefore, he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.

hope this helps

~ angilena

Answer: D

Step-by-step explanation:

5x6=30

Step-by-step explanation:

The question missing attachment (incomplete)

But the question said how far up does the ladder reach on the building?

See the attachment

Let the tita be 60° and the height of the building be 50 meters

Now

Opposite/hypotenuse = sin(tita)

50/x = sin60°

Cross multiply to find x

x = 50/sin(60°)

x= 50/0.8660

x=57.7 meters

Answer:

A. 6.67 m

Step-by-step explanation:

Below are attachments containing the complete question and solution

Answer:

[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]

Step-by-step explanation:

We want perform the following polynomial division.

[tex] \frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } [/tex]

We carry out the polynomial division in the attachment to obtain:

[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]

See attachment;

Answer:

A)

Step-by-step explanation:

The statement that is the cost of paying for college, which statement is NOT true is option D) Scholarships can be based on an affiliation to an organization.

Scholarships can indeed be awarded based on academic achievements, such as high grades, standardized test scores, or class rankings. Additionally, scholarships can also be available for students with exceptional athletic abilities, rewarding their talents in sports or other physical activities.

D) Scholarships can be based on an affiliation to an organization:

This statement is NOT true. Scholarships can indeed be tied to affiliations with specific organizations, associations, or companies. For example, there might be scholarships offered exclusively to the children of employees of a particular company or members of certain professional organizations. These types of scholarships are often referred to as "affiliation scholarships."

Hence the correct option is (d).

To know more about Scholarships here

https://brainly.com/question/31209383

#SPJ2

Solution:

The slope of a line is given by formula:

[tex]Slope = \frac{ y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex]slope = \frac{11}4}\\\\(x_1, y_1) = (x, -7)\\\\(x_2, y_2) = (-1, 4)[/tex]

Substituting the values we get,

[tex]\frac{11}{4} = \frac{4+7}{-1-x}\\\\-11 - 11x = 11 \times 4\\\\-11-11x = 44\\\\11x = -11-44\\\\11x = 55\\\\x = 5[/tex]

Thus the value of x is 5

Answer:

2.7 x 5.2 = 14.04

Step-by-step explanation:

Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

m = ( x1 + x2 / 2 ,  y1 + y2 / 2 )

We replace:

m = ( 1 + 4/2  ,  3 + (- 5) / 2 )

We solve:

m = ( 5/2 ,  -1 )

Answer:

Take one reindeer out of the running for pulling the sleigh

Step-by-step explanation:

Those are consecutive interior angles of a transversal across parallel lines.  That mouthful means they're supplementary, adding to 180°.

Answer: B. 75

Answer:

B

Step-by-step explanation:

[tex] \frac{1}{2} \times 8 \times 4 = \frac{32}{2} = 16[/tex]

[tex] \frac{115}{360} \times \pi \times {5}^{2} \\ = 25.08[/tex]

AREA OF THE COMPOSITE FIGURE

[tex]16 + 25.08 = 41.08ft^{2} [/tex]

Let S be Sydney's age.

Macy = S + Liyo, Alle = (1/2)S - 1.

Given, S + (S + Liyo) + ((1/2)S - 1) = 31.

Substituting Liyo = S and solving gives Sydney = 10, Macy = 15.

So, Macy is 15 years old.

To solve this problem, let's assign variables to represent each sister's age. Let S be Sydney's age. Given that Macy is Liyo years older than Sydney, Macy's age would be S + Liyo. Since Allie is one year less than half the age of Sydney, Allie's age can be represented as (1/2)S - 1.

The sum of their ages is given as 31, so we can set up the equation: S + (S + Liyo) + ((1/2)S - 1) = 31. Substituting Liyo with S, we can solve for Sydney's age (S). Once we find Sydney's age, we can then find Macy's age by adding Liyo to Sydney's age.

By solving the equation, we find that Sydney is 10 years old. Thus, Macy is 15 years old (10 + Liyo). Therefore, Macy is 15 years old.

Complete Question:

Macy, Sydney, and Alle are sisters. Macy is liyo years older than Sydney and Allie is one war less than half the age of Sydney. If the sum of their ages is 31, how old is Magy?

Answer:

minimum value = 10

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 19

     = (x - 3)² + 10 ← in vertex form

with (h, k) = (3, 10 )

To determine maximum or minimum consider the value of a

• If a > 0 then minimum value of k

• If a < 0 then maximum value of k

Here a = 1 > 0, hence minimum value of k = 10

Answer:

176

Step-by-step explanation:

option a ( 176 cm²)

A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.

To find the area, we use the formula for the area of a trapezoid:

Area = 1/2 × (Base1 + Base2) × Height

Here, Base1 is 12 cm,

Base2 is 10 cm, and

the height is 16 cm.

the sum of the bases:

12 cm + 10 cm

= 22 cm.

Multiply by the height:

22 cm × 16 cm

= 352 cm².

Divide by 2 to get the area:

352 cm² ÷ 2

= 176 cm².

So, the area of the trapezoid is 176 cm².