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Gelneren [198K]
3 years ago
10

Which expression is equivalent to -1/4 (3/4 + 2/3)

Mathematics
1 answer:
Crank3 years ago
5 0

Step-by-step explanation:

We'll be using the Distributive Property in order to find an equivalent expression.

a(b + c) = ab + ac

<u>Use the Distributive Property:</u>

-  \frac{1}{4}( \frac{3}{4}  +  \frac{2}{3}) =  ( - \frac{ 1}{4}  \times  \frac{3}{4} ) + ( -  \frac{1}{4}  \times  \frac{2}{3} )

Option A is correct.

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Which of the following would form a triangle with the two existing sides of 3 inches and 5 inches
Salsk061 [2.6K]

is there photos for this question? sorry im a lil confused on "what the following" are

5 0
3 years ago
Read 2 more answers
Lucy bought a microwave oven at 70% off the original price. If she paid $21,
belka [17]

Answer:

the answer is 49

Step-by-step explanation:

70-21=49

21-70=49

49%70=21

49%21=70

8 0
4 years ago
Please help with by finding the surface area of numbers 122 to 124 which are the top one ands please read 125 a and 126 to find
Annette [7]
Surface area of cylinder is 2 (pi)rh+2(pi)r^2
this is the area of the side [(2 (pi)rh] and the two circles together [2 (pi)r^2]

122. r=24
h=15
2 (3.14)24×15+2 (3.14)24^2
6.28×24×15+6.28×24^2
2260.8+3617.28
5878.08mm

123. r=5
h=8
2 (3.14)5×8+2 (3.14)5^2
6.28×5×8+6.28×5^2
251.2+157
408.2cm

124. the surface area of a cylinder that has a hole is going to be
surface area of big cylinder-2small area circles (the holes) + the area of the holes sides

hopefully that isn't too confusing

big radius: 8
height: 14

little radius: 2.5
height: 14

2 (3.14)8×14+2 (3.14)8^2
6.28×8×14+6.28×8^2
703.36+401.92

1105.28in (area of big cylinder)

2 (3.14)2.5^2 (two small holes)
6.28×2.5^2
39.25in (area of holes)

2 (3.14)×2.5×14 (area of side)
6.28×2.5×14
219.8in

1105.28-39.25+219.8
1066.03+219.8

1285.83in total surface area

125. h=20
r=6 since diameter is a foot or 12 in, half of that is 6
2 (3.14)6×20+2 (3.14)6^2
6.28×6×20+6.28×6^2
753.6+226.08
979.68in

126. first radius= 10
first height = 6

second radius= 6
second height= 10

2 (3.14)10×6+2 (3.14)10^2
6.28×10×6+6.28×10^2
376.8+628
1004.8in (surface area of first cylinder)

2 (3.14)6×10+2 (3.14)6^2
6.28×6×10+6.28×6^2
376.8+226.08
602.88in (surface area of second cylinder)

1004.8-602.88= 401.92

the surface area of the cylinder with radius 10 and height 6 is GREATER that the surface area of the cylinder with radius 6 and height 10..
by 401.92in
8 0
3 years ago
Un número racional positivo siempre es menor que un número racional negativo​
Misha Larkins [42]

Answer:

This sentence is true.

Step-by-step explanation:

3 0
3 years ago
Dr drake is thinking about retirement and decides to sail around the world once he retires. He buys a sailboat for 125000. He bo
Akimi4 [234]

Answer:

$46875.

Step-by-step explanation:

We have been given that Dr. Drake buys a sailboat for 125000. He borrows the money at an APR of 7.5% for five years.

We will find total interest after 5 years by using simple interest formula.

A=P(1+rT), where,

A= Amount after T years.

P= Principal amount.

r= The annual interest rate (in decimal form).

T= Time in years.

First of all we will convert our given interest rate from percent to decimal form.

7.5\text{ Percent}=\frac{7.5}{100} =0.075

Now let us substitute our given values in above formula.

A=125,000(1+(0.075*5))

A=125,000(1+0.375)

A=125,000(1.375)

A=171875

To find the amount of total interest we will subtract principal amount from 171875.

\text{Total amount of interest}=171875-125000

\text{Total amount of interest}=46875  

Therefore, the total interest after 5 years will be $46875.

8 0
4 years ago
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