Jenna buys water from a store which allows you to bring your own containers of water and fill them up. The only catch is that you must honestly type into the store's computer how many gallons of water you took in total, written as a decimal, and then pay the amount the computer indicates.

Today, Jenna takes four containers with her. The first has a 3/4 gallon capacity, the second has a 1/8 gallon capacity, the third has a 4/5 gallon capacity, and the fourth has a 17/125 gallon capacity. She fills up all of the containers with water. What decimal should Jenna type into the computer?

Answer:

it changes by -4 pounds each month

Step-by-step explanation:

20 pounds in 5 months

20/5 is 4 pounds per month

the elephant loses 4 pounds a month

Answer:

17

Step-by-step explanation:

We plag the var in first

3(7)-4

21-4

17

Answer:

17

Step-by-step explanation:

3(7) - 4

21 - 4

17

Hope this helps!

The statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.

A mathematical proposition or assertion that has been proven to be true is known as a theorem.

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

It is given that,

∠2=∠4

From the diagram, it is observed that two straight lines cross, and they create two sets of linear pairs with matching angles as a result of the Vertical Angles Theorem angle 2 is congruent to angle 4.

Thus, the statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.

Learn more about the Theorem here:

brainly.com/question/12642646

#SPJ5

Answer:

the two values that are a distance of 5 from 0 are -5 and 5.

Step-by-step explanation:

if you look at a number line, you will see that the number 0 is in the middle. if you count 5 from each side, it's -5 and 5. any other number would have a greater distance than 5 from 0. hope this helps.

Answer:

h(3) = 18

Step-by-step explanation:

Step 1: Define

h(t) = -3t + 6 + 7t

h(3) is x = 3

Step 2: Simplify

h(t) = 4t + 6

Step 3: Substitute and Evaluate

h(3) = 4(3) + 6

h(3) = 12 + 6

h(3) = 18

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

All you have to do is divide the t on both sides and you'll get...

[tex]r=\frac{d}{t}[/tex]

Answer:

$105

Step-by-step explanation:

5.5+8.5=14

14 * 7.5=105

Answer:B

Step-by-step explanation:

Answer:

believe it is the last one because the room is decreasing at 4 per minute so it would be -4x. Then the room is a 300 capacity so you would minus the -4x from the 300 leaving the formula as p(x)=300-4x

Answer:

I am doing this for the gram say hi

Step-by-step explanation:

Answer: 490

Step-by-step explanation: 87+17+60+326 = 490

I guess you have to find

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}[/tex]

given that [tex]\tan\theta=\frac8{15}[/tex].

We can immediately solve for [tex]\sec\theta[/tex]:

[tex]\sec^2\theta=1+\tan^2\theta\implies\sec\theta=\pm\dfrac{17}{15}[/tex]

(without knowing anything else about [tex]\theta[/tex], we cannot determine the sign)

Then we get [tex]\cos\theta[/tex] for free:

[tex]\cos\theta=\dfrac1{\sec\theta}=\pm\dfrac{15}{17}[/tex]

and we can now solve for [tex]\sin\theta[/tex]:

[tex]\sin^2\theta+\cos^2\theta=1\implies \sin\theta=\pm\dfrac8{17}[/tex]

Notice that we have 2*2 = 4 possible choices of sign for either sin or cos.

• If both are positive, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{90}[/tex]

• If both are negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{480}[/tex]

• If sin is positive and cos is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{480}[/tex]

• If cos is positive and sin is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{30}[/tex]

Answer:

x = 51

Step-by-step explanation:

3 x 51 = 153, 153 + 2 = 155, 155 / 5 = 31

Answer:

x=51

Step-by-step explanation:

3x+2=155

3x+2-2=155-2

3x=153

3x/3 = 153/3

x=51

Step-by-step explanation:

Complementary Angles add up to 90 degrees since both m∠BAM and m∠CTX are known to be complementary, they must add up to 90 degrees. So....

[tex]m∠BAM + m∠CTX = 90 \\ (2x +4) + (x + 11) = 90 \\ 3x +15 = 90 \\ -15 + 3x +15 = 90 -15 \\ 3x = 75 \\ \frac{3x}{3} = \frac{75}{3} \\ x = 25[/tex]

[tex]x = 25[/tex]

Answer:

B. 61

Step-by-step explanation:

7, 10, 13, 16...

ok so were starting with 7 and adding 3 every time

im going to do 3 times 19 like as if we started with 3 then im going to add 4

3 x 19 = 57

57 + 4 = 61

the 19th term is 61

Answer:

B: 61

Step-by-step explanation:

Hope this helps :)

Answer:

Allocation: 4 samples should be from the mountain and 16 from along the coast.

Step-by-step explanation:

Neyman allocation is technique of sample allocation used in cases of stratified sampling.

The formula to compute the best sample size of each stratum is:

[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]

The information provided is:

[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]

Compute the range for the number of people at the mountain campsite as follows:

[tex]R_{m}=6-1=5[/tex]

Then the standard deviation for the number of people at the mountain campsite will be:

[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]

Compute the range for the number of people along the coast campsite as follows:

[tex]R_{c}=10-1=9[/tex]

Then the standard deviation for the number of people along the coast campsite will be:

[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]

Compute the sample size for the mountain campsite as follows:

[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]

    [tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]

Compute the sample size for along the coast campsite as follows:

[tex]n_{c}=n-n_{m}=20-4=16[/tex]

Thus, 4 samples should be from the mountain and 16 from along the coast.

Answer:

-6

Step-by-step explanation:

-24 divided by 6 is -4, so the fraction would be simplified to -4/1, then change to a whole number and subtract 2, which equals -6.

Answer:

-32

Step-by-step explanation

f(-4)= 5(-4) - 12

f(-4)= -20 -12

f(-4)= -32

Answer:

3/7 is the slope and -5 is the y intercept

Step-by-step explanation:

y=3/7x-5

The equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

3/7 is the slope and -5 is the y intercept

Answer:

B

Step-by-step explanation:

The slope is always the coefficient of the x value in the linear equation. And the y intercept is the constant in the equation.

Answer:

cant tell

Step-by-step explanation:

need more explanation

Answer:

$0.73 per pound

Step-by-step explanation:

2920 divided by 4000 (2 tons is 4000 pounds) equals 0.73

Answer:

1 /4 ( x+11 )

Step-by-step explanation:

Factor  1 /4  out of each term.

Answer:

100,70 is the answer I took the test

Answer:

The  answer is A ppl

Step-by-step explanation:

Answer: input values for the function.

Step-by-step explanation:

Answer:

..

Step-by-step explanation:

Answer:

None of these points form a right triangle.

Step-by-step explanation:

IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.

5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.

The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)

Hope this helps, if you have any questions please feel free to ask! :)

Answer:

The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}

Answer:

[tex]d=9.21954[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-1-5)^2+(9-2)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(7)^2}[/tex]

[tex]d=\sqrt{36+49}[/tex]

[tex]d=\sqrt{85}[/tex]

[tex]d=9.21954[/tex]