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luda_lava [24]
3 years ago
13

Wich ratio is equivalent to 4:10

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
The next one would be 8:20 or 2:5 and many others, these are just a few
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A bookstore pays $12.75 for hardcover books and charges $29.95. What is the maximum percent of discount that it can offer while
Anna [14]

9514 1404 393

Answer:

  A.  40.7%

Step-by-step explanation:

The selling price for a $5 profit will be ...

  $12.75 +5.00 = $17.75

From $29.95, this represents a change of ...

  (17.75 -29.95)/29.95 × 100%

  = -12.20/29.95 × 100% ≈ -40.7346%

The bookstore can offer a maximum discount of about 40.7%.

4 0
3 years ago
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A recipe calls for 2/3 cup of butter. Sticks of butter are divided into 1/4 cup sections. How many sections of butter will the r
Phoenix [80]

Step-by-step explanation:

They answer is your mom

5 0
2 years ago
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Fine length of BC on the following photo.
MrMuchimi

Answer:

BC=4\sqrt{5}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

AC^2=AD^2+DC^2

substitute the given values

AC^2=16^2+8^2

AC^2=320

AC=\sqrt{320}\ units

simplify

AC=8\sqrt{5}\ units

step 2

In the right triangle ACD

Find the cosine of angle CAD

cos(\angle CAD)=\frac{AD}{AC}

substitute the given values

cos(\angle CAD)=\frac{16}{8\sqrt{5}}

cos(\angle CAD)=\frac{2}{\sqrt{5}} ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

cos(\angle BAC)=\frac{AC}{AB}

substitute the given values

cos(\angle BAC)=\frac{8\sqrt{5}}{16+x} ----> equation B

step 4

Find the value of x

In this problem

\angle CAD=\angle BAC ----> is the same angle

so

equate equation A and equation B

\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}

solve for x

Multiply in cross

(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units

DB=4\ units

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

BC^2=DC^2+DB^2

substitute the given values

BC^2=8^2+4^2

BC^2=80

BC=\sqrt{80}\ units

simplify

BC=4\sqrt{5}\ units

7 0
2 years ago
von has a rectangular workroom with a perimeter of 26 feet the length of the workrooms is 6 feet what is the width of vons workr
kvv77 [185]
The answer is 7 because 2 times 6 equals 12 + 26 - 12 equals 14 + 14 divided by 2 equals 7 this is how I see you it out the answer again the answer is seven feet feet
7 0
2 years ago
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Natasha is a bank teller. She received a 5% raise last year and a subsequent merit raise of 3% this year. What is the accumulati
Anvisha [2.4K]

Answer:

The correct answer is C. 8.15%.

Step-by-step explanation:

Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:

(2,000 x 1.05) x 1.03 = X

2,100 x 1.03 = X

2,163 = X

2,000 = 100

2,163 = X

2,163 x 100 / 2,000 = X

216,300 / 2,000 = X

108.15 = X

108.15 - 100 = 8.15

Thus, the compound effect of both salary increases is a salary increase of 8.15%.

8 0
2 years ago
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