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pentagon [3]
3 years ago
15

What is the solution to this equation?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0
Answer:
C. x = 5

Explanation:
Step 1 - Simplify the equation by adding the common terms

3x - 7 + 4x = 28
3x + 4x - 7 = 28
7x - 7 = 28

Step 2 - Add seven to both sides of the equation

7x - 7 = 28
7x - 7 + 7 = 28 + 7
7x = 35

Step 3 - Divide both sides of the equation by seven

7x = 35
7x/ 7 = 35/ 7
x = 5

Therefore, the correct answer should be ‘c. x = 5.’
kupik [55]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

3x - 7 + 4x = 28

Combine like terms

7x -7 = 28

Add 7 to each side

7x - 7 +7  = 28+7

7x = 35

Divide each side by 7

7x/7 = 35/7

x = 5

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padilas [110]
Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
   8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
   (8 baskets)/(1/9 baskets/minute) = 72 minutes
3 0
3 years ago
Referring to the Fig. in Question #42, give the coordinates
iragen [17]

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.

The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.

  (x, y) = (0, -3)

_____

  U(-5, 0)

  V(-3, 3)

  W(5, 5)

  X(-4, -5)

  Y(0, -3)

  Z(2, -1)

It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.

4 0
2 years ago
Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi
GrogVix [38]

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

8 0
3 years ago
Find the solution to the inequality -0.3x-5<6.7.
I am Lyosha [343]

Answer:

x > -39

Step-by-step explanation:

-0.3x < 6.7 + 5

-0.3x < 11.7

divide by -0.3

Answer is x > -39

6 0
3 years ago
Answer please I’m dying from math
charle [14.2K]

Answer:

\huge\boxed{\text{D)} \  15x^4 + 2x^3 - 8x^2 - 22x - 15}

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

  • <em>We can do this by focusing on one term in the first polynomial and multiplying it by </em><em>all the terms</em><em> in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.</em>

Let's first start by multiplying the first term of the first polynomial, 3x^2, by all of the terms in the second polynomial. (5x^2+4x+5)

  • 3x^2 \cdot  5x^2 = 15x^4
  • 3x^2 \cdot 4x = 12x^3
  • 3x^2 \cdot 5 = 15x^2

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

  • \displaystyle 15x^4 + 12x^3 + 15x^2

Now let's do the same with the second term (-2x) and the third term (-3).

  • -2x \cdot 5x^2 = -10x^3  
  • -2x \cdot 4x = -8x^2
  • -2x \cdot 5 = -10x
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x

  • -3 \cdot 5x^2 = -15x^2
  • -3 \cdot 4x = -12x
  • -3 \cdot 5 = -15
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

  • 12x^3 - 10x^3 = 2x^3
  • 15x^2 - 8x^2 - 15x^2 = -8x^2
  • -10x - 12x = -22x

This simplifies our expression down to 15x^4 + 2x^3 - 8x^2 - 22x - 15.

Hope this helped!

7 0
2 years ago
Read 2 more answers
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