Solve for x: 7x-22=3x+18

Answer:

⅙

Step-by-step explanation:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

From the graph, coordinates of A and B are (-1, 1) and (5, 2) respectively.

Gradient of line AB

[tex] = \frac{2 - 1}{5 - ( - 1)} [/tex]

[tex] = \frac{1}{5 + 1} [/tex]

[tex] = \frac{1}{6} [/tex]

To find the volume of an rectangular prism multiply length times width times height

Answer:

Length (l) = 6 cm

Breadth (b) = 4 cm

Height (h) = 5 cm

Volume (V) = ?

V = l × b × h

Volume =

[tex]l \times b \times h \\ = 6 \times 4 \times 5 \\ = 6 \times 20 \\ = 120 \: {cm}^{3} [/tex]

=> Volume of the rectangular prism is 120 cm³.

Answer:

(3.5, 3.25)

Step-by-step explanation:

Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).

Midpoint of MP is expressed as;

M(5,6) and P(4,-2).

Xmp = (5+4)/2

Xmp = 9/2

Xmp = 4.5

Ymp = (6-2)/2

Ymp = 4/2

Ymp = 2

Hence the midpoint of MP is at (4.5, 2)

Similarly for MN

M(5,6) , N(0,3)

Xmn = 5+0/2

Xmn = 5/2

Xmn = 2.5

Ymn = 6+3/2

Ymn = 9/2

Ymn = 4.5

Hence the midpoint of MN is (2.5, 4.5)

The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;

MN(2.5, 4.5) and  MP (4.5, 2)

M = {(2.5+4.5/2, 4.5+2/2)}

M = (7/2, 6.5/2)

M = (3.5, 3.25)

Hence the required midpoint coordinate is (3.5, 3.25)

Answer:

Target distance is 4/5 miles

walked 2/5 miles  and walked 1/4 miles

so distance need to walk is 3/20

-heart or brainly me :3-

Answer:

1.1 more miles after dinner

Step-by-step explanation:

add 2.5 and 1.4 to get 3.9, then subtract 3.9 from 5 to get 1.1

Answer:

7&8 both true

9 is false

Step-by-step explanation:

tghdhfshj

Answer:

True

True

False

Step-by-step explanation:

2(7) -3 = 14 -3 = 11

2(8) -3 = 16 -3 = 13

2(9) - 3 = 15

The answer has to be less than 15

Answer:

3?

Step-by-step explanation:

3n²+4m+5

3n²+(4m+5)

=3n²+9m

=3n²/9m;(3÷9)(n²÷m)

=1n²/3m

=n²/3m

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

Answer:

74.088

Step-by-step explanation:

you multipy 4.2 times 4.2 times 4.2 and get the answer of 74.088

Answer:

4.56

Step-by-step explanation:

654-98-5=4.56

Answer:

1 cm

Step-by-step explanation:

To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg

width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm

Answer:

Option 3: cos A=15/17

Step-by-step explanation:

Sine is the opposite side over the hypotenuse,

Cosine is the adjacent side over the hypotenuse, and

Tangent is opposite side over the adjacent side

You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)

Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17

Answer: See explanation

Step-by-step explanation:

First and foremost, we should know that: 1 kilogram = 1,000,000 milligrams

Therefore, 1.08kg will be converted to milligram and this will be:

= 1.08 × 1,000,000 milligrams

= 1,080,000 milligrams

Since every plant gets 93mg of fertilizer, the number of plants that can be fertilized will be:

= 1,080,000 / 93

= 11612.903

Therefore, 11612 plants can be fertilized.

The fertilizer left over will be:

= 1,080,000 - (11612 × 93)

= 1080000mg - 1079916mg

= 84 mg

Answer:

46.4miles/hour

d=46.4t

Step-by-step explanation:

Let's say d=at, where d = distance, a = the unit rate, and t = any given time.

We're given that Emma takes 1.25 hours to drive 58 miles. Plugging that into our formula of d=at, we get:

58 = 1.25a.

So, a = 46.4.

The formula now becomes d=46.4t.

Answer: -42 7/8

Step-by-step explanation: Hope this help:D

Answer:

n = 28.8

Step-by-step explanation:

[tex]\frac{n}{18} =\frac{12}{7.5}[/tex]

n × 7.5 = 18 × 12

7.5n = 216

7.5n ÷ 7.5 = 216 ÷ 7.5

n = 28.8

Answer:

The 6in, 8in, 8in one.

Step-by-step explanation:

Answer:

998, 1000, 1002

Step-by-step explanation:

Self explanatory, if you add the three numbers the sum is 3000.

Answer:

The answer is 77 degrees

Answer:

[tex]9x^{2}[/tex] − 19x + 12

Step-by-step explanation:

Answer:

The original price was $142.5.

Step-by-step explanation:

40 ÷ 100 = 0.4

$57 ÷ 0.4 = $142.5

Therefore, $142.5 is our answer.

Answer:

142.5

Step-by-step explanation:

Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5

The original price of the stove before the sale is  $ 142.5

Answer:

B. 55+70<750

Step-by-step explanation:

Answer: 1/3 x + -1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

Use slope intercept. The line is rising by 2 points and the y-intercept lies at -1.

Answer:

12.95t+38=115.70

Step-by-step explanation:

Answer:

240 units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

178^2 units

Answer: n + 1

Step-by-step explanation:

Answer:

C. 120 students

Step-by-step explanation:

10 + 15 + 20 +30 = 75%

100 - 75 = 25%

25% chose football which is 100 students

30% chose swimming

setup proportion:

25/100 = 30/x

25x = 100(30)

25x = 3000

x  = 120

Answer:

QUADRATIC FUNCTIONS AND EQUATIONS

Danielle N. asked • 11/25/17

You have 356 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

(Hint: Write formula for area as a quadratic function of length and use the concept of maximum value of quadratic function)

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2 Answers By Expert Tutors

By:

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Michael J. answered • 11/25/17

TUTOR 5 (5)

Effective High School STEM Tutor & CUNY Math Peer Leader

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Let length = x

Let width = y

Area = xy

Perimeter equation is

2(x + y) = 356

x + y = 178

Substituting the perimeter equation in the area formula,

Area = x(178 - x)

Area = -x2 + 178x

If the zeros of this quadratic are 0 and 178, then the median is where the maximum area occurs.

178 / 2 = 89

Therefore, the dimensions are

length = 89 feet

width = 178 - 89 = 89 feet

Maximize the enclosed area of the rectangle is 85 ft by 85 ft.

Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.

Let length = a

Let width = b

Area of rectangle = ab

Perimeter of rectangle equation is 2(a + b)

2(a + b) = 340

a + b = 170

Substitute the perimeter equation in the area formula,

Area = a(170 - a)

Area = -a² + 170a

If the zeros of this quadratic are 0 and 170, then the median is where the maximum area occurs.

170 / 2 = 85

Therefore, the dimensions are

length = 85 feet

width = 170 - 85 = 85 feet

The rectangle is a square.

Learn more about Perimeter of rectangle here:

brainly.com/question/15287805

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