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liubo4ka [24]
3 years ago
12

A machine makes 280 children's toys in 20 minutes. What expression equals the

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

  \text{c)}\ 280\div\frac{1}{3}

Step-by-step explanation:

The question asks for the rate in toys per hour, so to find the rate, you divide the number of toys by the number of hours:

  unit rate = (280 toys)/(1/3 hour) = 280/(1/3) toys/hour

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PPlease helpppppppppppp
dybincka [34]

Answer:

121/9

Step-by-step explanation:

= (-3\frac{2}{3} )^2

= (-\frac{11}{3} )^2

= \frac{121}{9}

4 0
3 years ago
Read 2 more answers
Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solu
lutik1710 [3]

Answer:

we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

Step-by-step explanation:

Given

–2|8 – x| – 6 = –12

adding 6 both sides

–2|8 – x| – 6 +6= –12 +6

–2|8 – x|  = –6

dividing both side by -2

–2|8 – x| /-2 = –6/-2

=>|8 – x|  = 3

we know that

in modulus function |Y| = -y or y

Thus

|8 – x|  = 3

can be written as

8-x = 3   or          8- x = -3

8-x-3 = 0  or      8-x+3 = 0

5-x = 0     or      11 -x = 0

x = 5       or x = 11

thus, we have two solution x = 5 and x = 11

but in given problem x = 5 and x = –11

thus, only one of his solution x = 5 is correct

8 0
3 years ago
A museum charges $12.50 for a one-day youth admission and $17.50 for a one-day adult admission. One Friday, the museum collected
tatuchka [14]

Answer:

number of youth admissions sold (x) = 74

number of adult admissions sold (y) = 32

Step-by-step explanation:

Let x = number of youth admissions

Let y = number of adult admissions

Given:

  • total number of admissions sold = 106

⇒ x + y = 106

Given:

  • cost of youth admission = $12.50
  • cost of adult admission = $17.50
  • total amount collected = $1485

⇒ 12.5x + 17.5y = 1485

Rewrite  x + y = 106 to make y the subject:

⇒ y = 106 - x

Substitute  y = 106 - x  into 12.5x + 17.5y = 1485 and solve for x:

⇒ 12.5x + 17.5(106 - x) = 1485

⇒ 12.5x + 1855 - 17.5x = 1485

⇒ 5x = 370

⇒ x = 74

Substitute found value of x into y = 106 - x to find y:

⇒ y = 106 - 74

⇒ y = 32

8 0
2 years ago
The sixth grade class has 18 boys and 24 girls. The teacher wants to divide them into groups that have the same number of boys a
Doss [256]

Answer:

The teacher can make 7 groups of 6 students

Step-by-step explanation:

24+18= 42. The biggest number you can use to divide and get a real number is 7.

6 0
3 years ago
Solving two-step equations 3x-2=16
Ivanshal [37]

Hey there!

<u>Solve </u><u>for </u><u>x </u><u>:</u>

  • Answer:

x = 6 ✅

  • Explanation:

3x - 2 = 16

<em>></em><em>></em><em> </em><em>Add </em><em>2</em><em> </em><em>to </em><em>both </em><em>sides </em><em>:</em>

3x - 2 + 2 = 16 + 2

3x = 18

<em>></em><em>></em><em> </em><em>Divide </em><em>e</em><em>ach </em><em>side </em><em>by </em><em>3</em><em> </em><em>:</em>

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

Learn more about first-degree equations :

↣brainly.com/question/20205219

↣brainly.com/question/14621119

7 0
3 years ago
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