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Novosadov [1.4K]

2 years ago

5

HelpQuick 6 tubs hold 125 gallons in all. About how much does each tub hold

2 answers:

Alex Ar [27]2 years ago

5 0

Answer:

25

Step-by-step explanation:

125 / 6 = 25 thats your answer

jok3333 [9.3K]2 years ago

4 0

Answer:

20.833333 gallons per tub

Repeating Decimal

Step-by-step explanation:

To find the amount of gallons per tub

You can divide 125 by 6 on a calculator/phone or on paper

If you are not so good with multiply guessing ( multipling random numbers until you get the answer) or dividing, you can just add 6 over and over again until you reach your answer

Hope this helps

- IronWolfX

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Can someone please help me and explain if you can

nadezda [96]

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

We are given the values of ∠4 $(-2x+94)$ and ∠8 $(-5x+139)$ .

Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also $-2x+94$ .
∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

$-2x+94=-5x+139$

Solve for x. Subtract 94 from both sides:

$-2x+94-94=-5x+139-94\\\\-2x=-5x+45$

Add 5x to both sides:

$-2x+5x=-5x+5x+45\\\\3x=45$

Divide both sides by 3:

$\frac{3x}{3} =\frac{45}{3} \\\\x=15$

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

$x=15\\\\-2(15)+94\\\\-30+94\\\\64$

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

$a+64=180$

a represents angle 6. Subtract 64 from both sides:

$a+64-64=180-64\\\\a=116$

Angle 6 has a measure of 116°.

:Done

4 0

2 years ago

Lisa is selling candles and soaps or a fundraiser. She sells a total of 24 items for a total of $112. If the candles sold for $4

Tcecarenko [31]

8 candles and 16 bars of soap.

You can solve this by setting up a system of equations.

x + y = 24
4x + 5y = 112

3 0

2 years ago

According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women

blagie [28]

Answer:

We are given that According to government data, 75% of employed women have never been married.

So, Probability of success = 0.75

So, Probability of failure = 1-0.75 = 0.25

If 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

At x = 2

$P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}$

$P(X=2) =8.8009 \times 10^{-7}$

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So, $P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})$

$P(X=r) =9.9439 \times 10^{-6}$

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

$={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=0.2360$

8 0

2 years ago

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

____ [38]

<h3>Answer: 35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120
E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

3 0

2 years ago

A line has a y intercept of 7 and a slope of 3/4, and goes DOWNHILL. What is the equation of this line?

Vladimir79 [104]

the answer is b, if not then try d:)

4 0

2 years ago

Read 2 more answers