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gtnhenbr [62]
3 years ago
10

Solve for X:

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

-  \frac{6}{5} x - 4 =  - 46 \\  -  \frac{6}{5} x =  - 42 \\  - 6x =  - 210 \\ x = 35
Translate the words into math and solve for x. Any questions let me know.
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The coordinates of point L on a coordinate grid are (−2, −4). Point L is reflected across the y-axis to obtain point M and acros
Alex787 [66]
M(2,-4), N(-2,4)
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4 0
3 years ago
Simplify<br> 21x^6 y^5<br> 14x^2y^9
PIT_PIT [208]

Answer:

\frac{3x^{4} }{2y^{4} }

Step-by-step explanation:

Factor out 7 from top and bottom :

\frac{7(3x^6y^5)}{7(2x^2y^9)}

Divide top and bottom by 7 :

\frac{3x^6y^5}{2x^2y^9}

Simplify :  

\frac{x^6}{x^4}=x^{2}

Simplify :

\frac{y^5}{y^9} = y^{-4}  = \frac{1}{y^{4} }

Collect everything together :

\frac{3x^{4} }{2y^{4} }

Hope this helped and have a good day

5 0
2 years ago
Emily has been considering the purchase of a used car that costs $11.656. How much money does she need to make in order to comfo
Art [367]

your question might be incomplete..

Answer/Step-by-step explanation:

Whether you're paying cash, leasing, or financing a car, your upper spending limit really shouldn't be a penny more than 35% of your gross annual income. For Example: $36,000 a year, the car price shouldn't exceed $12,600. Make $60,000, and the car price should fall below $21,000.

Hence, $11,656 x 35% =4079.60

Answer = 4079.6

7 0
2 years ago
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and
zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0
2 years ago
Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea
amm1812

The number of cookies and trays are illustrations of greatest common factors.

  • The number of trays is 8
  • 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}

\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}

\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}

So, the GCF is:

\mathbf{GCF= 2 \times 2 \times 2}

\mathbf{GCF= 8}

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

Divide each cookie by the number of trays

So, we have:

\mathbf{Chocolate\ chip = \frac{48}{8} = 6}

\mathbf{Rainbow = \frac{64}{8} = 8}

\mathbf{Oatmeal = \frac{150}{8} = 15}

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0
2 years ago
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