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3 years ago

PLS help me :)))) thx

Mathematics

2 answers:

fomenos3 years ago

8 0

Answer for the first one (7):

A = 96 square inches

Step-by-step explanation:

to find the unknown sides: 6+6=12

and: 14-12=2

then split into rectangles and find the area for each of them by multiplying the two sides and then add the two rectangles' areas together

Answer for the second image (6):

A= 229 square yards

Step-by-step explanation:

to find the unknown sides: 29-22=7

and: 26-21=5

split into rectangles find area for each of them then add the areas to get the answer

svetlana [45]3 years ago

6 0

Answer:

7) 96in²

8)292yd²

Step-by-step explanation:

6×2=12

14×6=84

84+12=96

26×7=182

22×5=110

182+110=292

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PLEASE HELP

Tems11 [23]

QUESTION A

The given multiplication problem is

$\frac{39}{64} \times \frac{8}{13}$

Factor each term to obtain;

$\frac{13\times 3}{8\times8} \times \frac{8}{13}$

Cancel out the common factors to obtain;

$\frac{1\times 3}{8\times1} \times \frac{1}{1}$

Simplify to get;

$\frac{3}{8}$

QUESTION B

The given multiplication problem is

$\frac{2}{3}\times \frac{1}{5}\times \frac{4}{7}$

This the same as

$\frac{2\times 1\times 4}{3\times 5\times 7}$

This simplifies to;

$\frac{8}{105}$

QUESTION C

The given problem is

$\frac{3}{5}\times \frac{10}{12} \times \frac{1}{2}$

This is the same as

$\frac{3}{5}\times \frac{5}{6} \times \frac{1}{2}$

$=\frac{1}{1}\times \frac{1}{2} \times \frac{1}{2}$

This simplifies to

$=\frac{1}{4}$

QUESTION D.

The given expression is

$\frac{4}{9}\times 54$

Factor the 54 to obtain;

$\frac{4}{9}\times 9\times 6$

Cancel the common factors to get;

$\frac{4}{1}\times 1\times 6$

This simplifies to;

$=24$

QUESTION E

The given problem is

$20\times 3\frac{1}{5}$

Convert the mixed numbers to improper fraction to obtain;

$=20\times \frac{16}{5}$

$=4\times5 \times \frac{16}{5}$

Cancel the common factors to get;

$=4\times1 \times \frac{16}{1}$

$=64$

QUESTION F

The multiplication problem is

$11 \times 2 \frac{7}{11}$

Convert the mixed numbers to improper fractions to obtain;

$11 \times \frac{29}{11}$

Cancel out the common factors to get;

$=1 \times \frac{29}{1}$

Simplify;

$=29$

QUESTION G

The given problem is

$5\frac{1}{3}\times 5\frac{1}{8}$

Convert to improper fractions;

$=\frac{16}{3}\times \frac{41}{8}$

Cancel out the common factors to get;

$=\frac{2}{3}\times \frac{41}{1}$

$=\frac{82}{3}$

Convert back to mixed numbers

$=27\frac{1}{3}$

QUESTION H

The given expression is

$10\frac{2}{3} \times 1\frac{3}{8}$

Convert to improper fraction to get;

$\frac{32}{3} \times \frac{11}{8}$

Cancel common factors to get;

$=\frac{4}{3} \times \frac{11}{1}$

Simplify

$=\frac{44}{3}$

Convert back to mixed numbers;

$=14\frac{2}{3}$

7 0

3 years ago

Reggie invests $12,000, part at 7% annual interest and part at 8.5% annual interest. how much is invested at each rate if reggie

Vika [28.1K]

Let us say that:

x = invested at 7%

y = invested at 8.5%

and that:

We can also say that:

0.07 x + 0.085 y = 900

Therefore:

0.07 x + 0.085 (12000 – x) = 900

0.07 x + 1020 – 0.085 x = 900

- 0.015 x = -120

x = $8000

so y is:

y = 12000 – 8000

y = $4,000

$8000 is invested at 7% annual interest while $4000 is invested at 8.5%

3 0

4 years ago

Question The set {78, 55, 22, 16, 84, 75, 33, 69, 58, 59} represents the number of stones in ten pouches. What is the midrange o

Citrus2011 [14]

<h3>Answer: 50</h3>

Explanation:

The original set

{78, 55, 22, 16, 84, 75, 33, 69, 58, 59}

sorts to

{16, 22, 33, 55, 58, 59, 69, 75, 78, 84}

The min and max are 16 and 84 respectively

Midrange = (min + max)/2 = (16+84)/2 = 50

3 0

2 years ago

Make q the subject of the formula 2(q+p) = 1+5q. Give your answer in the form ap-b/c where a,b and c are all positive integers

musickatia [10]

Answer:

$\frac{2p-1}{3}$

Step-by-step explanation:

Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.

1) Expand 2(q+p)

2q + 2p = 1 + 5q

2) Move all q terms to one side

5q - 2q = 2p - 1

3q = 2p - 1

3) Divide 3 on both side (to isolate q)

q = $\frac{2p-1}{3}$

8 0

4 years ago

Clintons garden is 32.55 m long and 12.50 m wide. Write the l

svlad2 [7]

Formula:
P = 2(L + W)
so
P = 2(32.55 + 12.50)

8 0

3 years ago