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Zielflug [23.3K]
3 years ago
15

The area of a parallelogram is 96 cm2. The height of the parallelogram is 4 cm less than the length of the base. What is the len

gth of the base?
Mathematics
2 answers:
irga5000 [103]3 years ago
5 0
I am pretty sure the answer is 12
Valentin [98]3 years ago
4 0
96/4=24 so the length of a standerd paralleegram is 24
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In a talent show of singing and comedy acts, singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long. The show ha
Alik [6]

Step-by-step explanation:

Let the number of singing act be x

Let the number of comedy act be y

If the total act is 14, then;

x+y = 14..... 1

If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:

4.5x + 3.5y = 59 .......... 2

Solve both equation simultaneously for x and y

x+y = 14

45x+35y = 590

.................................

x+y = 14......... *9

9x+7y = 118....... 1

...............................

9x+9y = 126

9x+7y = 118

Subtract both equations

9y-7y = 126-118

2y = 8

y = 8/2

y = 4

Substitute y = 4 into equation 1;

From 1: x+y = 14

x+4 = 14

x = 14-4

x =10

Hence there are 10 singing acts and 4 comedy acts in the show

7 0
3 years ago
Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flou
matrenka [14]

Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

total number of cups required to make a loaf of bread

= 3 + ¾

making their denominators equal and that to 4

= 12/ 4 + 3/ 4

adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

= 2 + ⅔

making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

4 0
3 years ago
Read 2 more answers
10=ax+bx solve for x <br> With steps please
laila [671]

Answer:

\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle 10 = ax + bx

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

  1. Factor:                                                                                                               \displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)
  2. [Division Property of Equality] Divide a + b on both sides:                           \displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}
7 0
3 years ago
A school wants to buy a chalkboard that measures 1 yard by 2 yards. The chalkboard costs $71.00 per square yard. How much will t
KengaRu [80]

Answer:

142

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The equation 10x + 5y = 150​
Verdich [7]

Answer:

x = 14.5      y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

      - 5y    -5y

10x = -5y + 150

divide both sides by 10

<u>10x</u> = <u>-5y + 150</u>

10            10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5  -150            -150 +5

5y = 5

now divide by 5

<u>5y</u> = <u>5</u>

5     5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5

4 0
3 years ago
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