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3 years ago

The pair figures are similar.find the missing side

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Answer:

C. x=3

Step-by-step explanation:

Because the sides are proportionate to each other

Side 3 is 3x the length of Side 1

Therefore,

Side 9 is also 3x the length of side X

3x=9

Divide both by 3

and X will be 3.

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Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast

IceJOKER [234]

Answer:

If 0.25 oz of yeast is used, then 50oz of flour is needed.

It would require 0.5 oz of yeast for 90 oz the flour.

Step-by-step explanation:

We know that the proportion of yeast (y) and flour (f) is 1: 200 when a maximum of 30 servings of bread is made. This is:

$\frac{y}{f} = \frac{1}{200}$

So if we use 0.25 oz of yeast:

$y = 0.25\\\\y = (f)\frac{1}{200}\\\\0.25 = (f)\frac{1}{200}\\\\0.25 * 200 = f\\\\f = 50\ oz$

if 0.25 oz of yeast is used, then 50oz of flour is needed.

If you make 60 servings of bread with 90 oz. Of flour, then you should keep the following ratio:

$\frac{y}{f} =\frac{1}{180}$

So, if we use f = 90 0z of flour:

$f = 90\ oz\\\\f = 180y\\\\90 = 180y\\\\y = \frac{90}{180}\\\\y = 0.5\ oz$

It would require 0.5 oz of yeast.

4 0

3 years ago

With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s

Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

when all three boys are standing on the scale, it reads 170 pounds.

$A + B + C = 170$ - Eq(1)

when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

$B + C = 100$ - Eq(2)

when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

$C = 60$

So we already knew the weight of boy C. (it was in the question all along)

$C = 60$ pounds

Now to find the individual weights of the remaining boys, we can work our way backwards

we can put this value back in Eq(2), to find the weight of boy B.

$B + C = 100$

$B + 60 = 100$

$B = 100 - 60$

$B = 40$

the

the weight of boy B (Ben) is $B = 40$ pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

$A + B + C = 170$

$A + 40 + 60 = 170$

$A + 100 = 170$

$A = 170 - 100$

$A = 70$

the weight of boy A (Adam) is $A = 70$ pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

7 0

4 years ago

Lidocaine (2 grams) was prescribed in 500 mL of fluid at 2 mg/ minute, to be administered via an infusion pump. What is the flow

Luden [163]

9514 1404 393

Answer:

1/2 mL/min

Step-by-step explanation:

$\dfrac{2\text{ mg}}{\text{min}}\div\left(\dfrac{2\text{ g}}{500\text{ mL}}\times\dfrac{1000\text{ mg}}{\text{g}}\right)=\dfrac{2\times500\text{ mL}}{2\times1000\text{ min}}=\boxed{\dfrac{1}{2}\text{ mL/min}}$

Additional comment

The units analysis tells you how to work this problem. In order to get from mg/min to mL/min, you need to multiply by a factor with units mL/mg. Those units are the inverse of the concentration in mg/mL, which is found from g/mL.

3 0

3 years ago

Assume federal exemption is, $3300.00, you earn. 37,500.00, the tax rate is 2 3/4%, calculate the tax.

Sauron [17]

3300 exemption

37,500−3,300=34,200 taxable
Tax rate is
2+3/4=2.75% we don't multiply 2by 3/4
Now calculate the amount of tax
34,200×2.75%=940.5

3 0

3 years ago

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Ostrovityanka [42]

Answer:

Step-by-step explanation:

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8 0

3 years ago