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kupik [55]
3 years ago
9

The ratio of boys to girls at a day care center is 5 to 4. which of the following cannot be the total number of children at the

center? (A) 27 children (B) 54 children (C) 60 children (D) 72 children please show work
Mathematics
1 answer:
EastWind [94]3 years ago
7 0
C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio
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6 ( x - 1 ) = 9( x - 4 ) solve for x<br>I'm giving points pls answer fast<br>​
Alex

Answer:

x = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 1) = 9(x - 4)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate <em>x</em> term:                             30 = 3x
  4. Isolate <em>x</em>:                                      10 = x
  5. Rewrite:                                       x = 10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

6 0
3 years ago
-3(z-8)+10=-5<br> What is z equal to?
Luden [163]

Answer:

13

Step-by-step explanation:

-3(z-8)+10=-5\\\\-3z+24+10=-5\\\\-3z+34=-5\\\\-3z=-39\\\\z=13

8 0
3 years ago
Read 2 more answers
4|x+5|=20<br> Thanks for the help
Kipish [7]
4 |x = 5| = 20

First, divide both sides by 4. / Your problem should look like: |x + 5| = 5
Second, simplify \frac{20}{4} to 5. / Your problem should look like: |x + 5| = 5
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. / 
Cancel 5 on both sides. / x = 0
Fifth, solve -(x + 5) = 5 / 
Simplify brackets / -x - 5 = 5
Add 5 to both sides / -x = 5 + 5
Add 5 + 5 / -x = 10
Multiply both sides by -1 / x = -10
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like: x = -10, 0

Answer: x = -10, 0

3 0
3 years ago
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How many times can 2 go into 12
Anarel [89]

Answer:

6

Step-by-step explanation:

2+2+2+2+2+2=12

6x2=12

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3 years ago
Chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef
azamat

Answer:

hi

Step-by-step explanation:

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3 years ago
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