What is the solution to the following equation? (4 points)

2(3x − 7) + 18 = 10

a
1

b
3

c
5

d
6

Answer:

I believe the answer is C. Please let me know if I am wrong

Step-by-step explanation:

Answer:

Given: 3x+5+ 7x +2

Step-by-step explanation:

= 3x + 5 + 7x + 2

= 10x + 7

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trigonometric identities are used to show the equality of expressions involving trigonometric functions. These trigonometric functions are the sine, the cosine, and the tangent as well as their respective reciprocals which are cosecant, the secant, and the cotangent,

Some trigonometric identities are:

tanθ = sinθ / cosθ; secθ = 1 / cosθ; cosecθ = 1 / sinθ; cotθ = 1 / tanθ = cosθ / sinθ

The angle addition formula for cos is given as:

cos(α + β) = cosαcosβ - sinαsinβ

Therefore:

cos(a + b) = cosacosb - sinasinb

Answer:

Rectangle

Step-by-step explanation:

Since the base is a rectangle and the pyramid was cut horizontally that would leave the shape of the cross-section to be a rectangle as well.

hope this helped, have a great day :)

Answer:

Rectangle

Step-by-step explanation:

Answer:

4.5 years ; (3.25, 4.75)

Step-by-step explanation:

Given that :

Mean , m = 4

Standard deviation, s = 0.75

The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67

Therefore, the upper quartile Q3:

Q3 = mean + 0.67 * standard deviation

Q3 = 4 + 0.67(0.75)

Q3 = 4 + 0.5025

Q3 = 4.5025

Q3 = 4.5 years

Range of values that contain the middle 68%

According to the empirical rule;

68% is within 1 standard deviation of the mean

Therefore ;

Interval will be ;

Mean ± 1 standard deviation

(4 - 0.75) ; (4 + 0.75)

(3.25, 4.75)

Answer:

pretty sure the tree's 20 feet

According to proportion if a tree casts a shadow of 40 feet it;s height is 20 feet.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know 1 yard is 3 feet.

Given, The shadow of the tree is 40 feet long. A yardstick placed next to the tree casts a 6-foot shadow and assuming the height of the tree to be x.

∴ x : 40 : : 3 : 6.

x/40 = 3/6.

6x = 120.

x = 20 feet.

learn more about proportion here :

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Answer:

The answer is (7,3)

Step-by-step explanation:

the answer is the point where the two lines intersect.

Answer:

40 people

Step-by-step explanation:

Step one:

given data

let the total number of persons be x

There are 28 women

The number of men = 30% of x

Step two:

So the total person is given as

30/100*x+28= x

solve for x

0.3x+28= x

collect like terms

x-0.3x= 28

0.7x= 28

divide both sides by 0.7

x= 28/0.7

x= 40 people

Answer:

x = 4

y = 10

Step-by-step explanation:

7x - 3 = 25

7x = 28

x = 4

12y + 35 = 155

12y = 120

y = 10

Hey there!

There are actually a few possible equations, but I will choose these:

FOR X:

7x - 3 = 25

7x = 28

x = 4

FOR Y:

12y + 35 = 155

12y = 120

y = 10

Hope it helps and have a great day!!

Answer:

x = 21

Step-by-step explanation:

2x and 42 are alternate angles and are congruent, so

2x = 42 ( divide both sides by 2 )

x = 21

Answer:

$1,053.50

Step-by-step explanation:

First you need to multiply $33.30 by 30 so you can figure out how much she'll save over the next 30 weeks. You will get $999. Then you add $54.50 and $999 together to get 1,053.50.

Step-by-step explanation:

Case 1 :

[tex]3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x = \frac{6 - 2y}{3} = \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) + y = 2 \\ 8 - \frac{8y}{3} + y = 2 \\ - 1.67y = - 6 \\ [/tex]

[tex]y = 3.59 \\ x = 2 - \frac{2y}{3} \\x = 2 - \frac{2 \times 3.59}{3} \\ \\ x = - 0.39[/tex]

Case 2 :

[tex]3x + 2y = 6 \\ 4x - y = 2 \\ x = 2 - \frac{2y}{3} \\ 4(2 - \frac{2y}{3} ) - y = 2 \\ 8 - \frac{8y}{3} - y = 2 \\ - 3.67y= - 6 \\ y = 1.63[/tex]

[tex]x = 2 - \frac{2y}{3} \\ x = 2 - \frac{2 \times 1.63}{3} \\ x = 2 - 1.087 \\ x = 0.913[/tex]

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

Step-by-step explanation:

7x + 10 = 4x + 16

3x + 10 = 16 (subtract 4x on both sides)

3x = 6 (subtract 10 on both sides)

x = 2 (divide 3 on both sides)

Answer: The answer is the second option

Step-by-step explanation:

Divide each term by 4 and simplify x>8

Answer:

a = 1

b = 9

c = 23

d = 15

Step-by-step explanation:

Expand it out:

(x^2 + 4x + 3)(x+5)

(x^3 +4x^2 +3x + 5x^2 + 20x + 15)

=x^3 + 9x^2 + 23x +15

Answer:

The answer to the first one is y=3/2x-27/2

The answer to the second one is y=-3/5x+6/5

Step-by-step explanation:

1. 2y-3x=-27

first, you want to add '3x' to both sides.

2y=3x-27

then you want to divide '2' from both sides. you do not want to use the 'y' because you want to keep the 'y' on its own side.

y=3/2x-27/2

2. 5y+3x=6

First, you want to subtract '3x' from both sides.

5y=-3x+6

Now, you want to divide '5' from both sides.

y=-3/5x+6/5

Answer:

3

Step-by-step explanation:

it intercepts the y axis at 3

Answer:

3 2

Step-by-step explanation:

I just know

Answer:

7,1

Step-by-step explanation:

80 divided by 9 times 8 i think

Answer:

120

Step-by-step explanation:

deltamath

120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a 3D figure with 6 rectangular faces.

Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.

To find the volume of rectangular prism we have to multiply length, width and height.

Volume =Length×Width×Height

Put the values of length, width and height in the above formula.

=10×4×3

=120 cubic ft

Hence 120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

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Answer:

w = 13

Step-by-step explanation:

Right angle: 90°

Write an equation:

(4w + 5)° + 33° = 90°

Solve for w.

(4w + 5)° = 90° - 33°

(4w + 5)° = 57°

You can take away the brackets.

4w + 5 = 57

Isolate w.

4w = 57 - 5

4w = 52

w = 52 ÷ 4

w = 13

I hope this helps!

11w+21

I hope this helps with your question :)

Answer:

[tex]11w + 21[/tex]

Step-by-step explanation:

First, expand the brackets

Then, add the same variables

That's the answer!

Hope this is correct and helpful

If there's any questions please don't hesitate to ask

HAVE A GOOD DAY!

I think function A is linear and function B isnt

Step-by-step explanation:

Function A has a constant rate of change and function B looks like a curve

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Answer:

i will respect the points

Step-by-step explanation: