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3 years ago

The ration of red marbles to white ones is 13 to 12. If there are 3,081 red marbles how many white ones are there?

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

7 0

Answer:

2844

Step-by-step explanation:

13 is to 12 as 3081 is to x. 13/12 = 3081/x. 12 * 3081 = 13x.

36972 = 13x. divide both sides by 13, you're left with 2844.

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Find the value of x using angle properties & the measure of

Jobisdone [24]

Answer:

15.

$x = 20$

16.

$\angle BFH$ = $100\textdegree$

$\angle CBD$ = $100\textdegree$ (if needed)

-------------------------------------------------------------------

17.

$x = 7$

18.

$\angle BFH$ = $68\textdegree$

Step-by-step explanation:

15. The two following angles, which is $\angle CBD$ and $\angle BFH$ , are Corresponding Angles. Write an expression by using the following measurements from $\angle CBD$ and $\angle BFH$ . Then, solve the expression for the value of $x$ :

$\angle CBD$ = $5x$

$\angle BFH$ = $3x + 40$

$5x = 3x + 40$

Solve for $x$ :

$5x = 3x + 40$

$5x - 3x = 3x - 3x + 40$

$2x = 40$

$\frac{2x}{2} = \frac{40}{2}$

$x = 20$

16. After you have the value $x$ use it to find the actual measurements of both $\angle CBD$ and $\angle BFH$ , by applying $x$ to the following expressions from both $\angle CBD$ and $\angle BFH$ and solve them:

-The value of $x$ :

$x = 20$

-Solve for $\angle CBD$ :

$\angle CBD$ = $5x$

$5(20)$

$100$

-The actual measurement of $\angle CBD$ :

$\angle CBD$ = $100\textdegree$

-Solve for $\angle BFH$ :

$\angle BFH = 3x + 40$

$3(20) + 40$

$60 + 40$

$100$

-The actual measurement of $\angle BFH$ : (if needed)

$\angle BFH$ = $100\textdegree$

----------------------------------------------------------------------------

17. The two following angles, which is $\angle BFE$ and $\angle DBF$ are Alternate Interior Angles .Write an expression by using the following measurements from $\angle BFE$ and $\angle DBF$ . Then, solve the expression for the value of $x$ :

$\angle BFE$ = $16x$

$\angle DBF$ = $4x + 84$

$16x = 4x + 84$

-Solve for $x$ :

$16x = 4x + 84$

$16x - 4x = 4x - 4x + 84$

$12x = 84$

$\frac{12x}{12} = \frac{84}{12}$

$x = 7$

18. After you have the value $x$ use it to find the actual measurement of $\angle DBF$ , by applying $x$ to the expression from $\angle DBF$ and solve it and find the actual measurement of an angle that is not labeled, which is $\angle BFH$ :

-The value of $x$ :

$x = 7$

Solve for $\angle DBF$ :

$\angle DBF$ = $4x + 84$

$4(7) + 84$

$28 + 84$

$112$

-The actual measurement of $\angle DBF$ :

$\angle DBF$ = $112\textdegree$

-Since both $\angle DBF$ and $\angle BFH$ are supplementary (two angles that equals to $180\textdegree$ ), and you want to find the actual measurement of $\angle BFH$ , Use the measurement of $\angle DBF$ and subtract it from $180\textdegree$ :

$\angle DBF - 180\textdegree$

$112\textdegree - 180\textdegree = 68\textdegree$

-The actual measurement of $\angle BFH$ :

$\angle BFH$ = $68\textdegree$

8 0

3 years ago

A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after t

BartSMP [9]

Answer:

238

Step-by-step explanation:

340 times 0.7 is 238

3 0

3 years ago

Read 2 more answers

The risk of a child developing cancer is approx 3 in 1500. If there are approx 11,721,722 children, how many have cancer?

Maslowich

Answer:

Approximately 23,433 children will have cancer.

Step-by-step explanation:

3/1500 can be simplified to 1/500, which can also be written as 0.002. To find the number of children who have cancer, we do 11,721,722 * 0.002, which gives us 23,433.444 which we can round to 23,433.

4 0

3 years ago

If Dante spins the spinner below 75 times, how many times should he expect it to land on "U"?

Fed [463]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; So, I will solve making assumptions

$Spinner = 10\ segments$