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siniylev [52]
3 years ago
11

X/3-10=-12 p/4+10=14

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
X/3-10=12
x/3=-2
x=-6

p/5+10=14
p/5=4
p=20
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what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?​
JulijaS [17]

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

\frac{11-x}{8-x}=\frac{2}{1}

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

7 0
3 years ago
50 points For these answers
Y_Kistochka [10]
Answer = 16 square blocks.

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I hope this helps.
6 0
3 years ago
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Emma is making a recipe that needs 2 1/2 cups of sugar. Each
IrinaVladis [17]

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

  • The number of scoops of sugar needed is <u>10 scoops</u>.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

  • \displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}

Which gives;

  • \displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}}

\displaystyle  2 \frac{1}{2} = \frac{5}{2}

\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } =  \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10

Therefore;

\displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}} = 10 \, scoops

The number of scoops she needs for the entire recipe is <u>10 scoops</u>

Learn more about division by fractions here:

brainly.com/question/20591763

3 0
2 years ago
Sec(-45)<br> a. sec 45<br> b. -sec 125<br> c. sec 125<br> d. -sec 45
Pachacha [2.7K]

Step-by-step explanation:

you have forgot to put degree

3 0
2 years ago
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Nady [450]
6 is the answer

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
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3 years ago
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