Water is being pumped into a baby pool at a constant rate. At 1:30 p.m., the water depth was 1.2 feet. It is now 4:00 p.m., and the depth of the water is 2.3 feet. What will the depth (in feet) of the water be at 5:00 p.m.?​

Answer:

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]

[tex]y-3x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-x=-4}[/tex]

[tex]-2x=8[/tex]

[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]

solve for x

[tex]-2x=8[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]

[tex]x=-4[/tex]

[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]

[tex]y-\left(-4\right)=-4[/tex]

[tex]y+4=-4[/tex]

[tex]y=-8[/tex]

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

Answer:  27:18 and 13:x can also be written as 27/18 and 13/x

therefore, 27:18 = 13:x

                 27/18 = 13/x

                 27/18 *13= x

               x = 19.5

Hope it helped u,

pls mark as the brainliest

and put thanks

^_^

Answer:

you cant

Step-by-step explanation:

The correct answer would be -3/8 or in decimal form -0.375 :)

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

Answer:

Debit cards have a savings account

Step-by-step explanation:

i learned this in school

Answer:

2$

Step-by-step explanation:

first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.

don't forget to add the dollar sign, it might save you points

Answer:

1+x=b;b+x=c;c+x=d;d+x=89

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Answer:

a) 95 miles

b) Chester

c) 194 miles

Step-by-step explanation:

Chart Reading

From the chart, we can know the relative distances from each place as follows:

a) From Hereford to Chester there are 95 miles

b) Kendal is 99 miles from Chester

c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles

Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.

Answer:

8. [tex]\frac{55}{-11} \\[/tex]

9. -38 ÷ 19

10. -4 ÷ -2

11. 190° im pretty sure

Step-by-step explanation:

Answer:

f(x)=-8x+8

f(-3)

ANSWER: 11/8

Answer:

x = 13

arc RQ = 160°

Step-by-step explanation:

The length of smaller arc RQ is twice of the inscribed angle it sees

(5x + 15) × 2 = 10x + 30

9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms

25x + 35 = 360

25x = 360 - 35

25x = 325 divide both sides by 25

x = 13 now the measure of arc RQ

10x + 30 ➡ 10 × 13 + 30 = 160°

Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

Answer: Number of water bottles a team can fill  from a single watercooler = 48

Step-by-step explanation:

Given: A watercooler contains 160 cups of water.

Each person on a team fills a water bottle with [tex]3\dfrac13[/tex] cups of water from the cooler.

Here, [tex]3\dfrac13=\dfrac{10}{3}[/tex]

Now , Number of water bottles a team can fill  from a single watercooler = [tex]160\div \dfrac {10}3[/tex]

[tex]=160\times\dfrac3{10}\\\\=16\times3=48[/tex]

Hence, Number of water bottles a team can fill  from a single watercooler = 48

Number of water bottle IT team can feel a single watercooler =48

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

Answer:

x = - 3, x = - 2, x = 0

Step-by-step explanation:

Given

x³ + 5x² + 6x ← factor out x from each term

= x(x² + 5x +6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = + 6 and 2 + 3 = + 5 , thus

x² + 5x + 6 = (x + 2)(x + 3) , and

f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)

To find the zeros equate f(x) to zero, that is

x(x + 2)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

Zeros from least to greatest are x = - 3, x = - 2, x = 0

Answer:

A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)

Step-by-step explanation:

rise over run, otherwise I don't know what you'd be inputting

Answer:

A. 3/2

B. 2/5

C. 1

D. 2

E. 1/4

F. 0

Answer:

4.5

Step-by-step explanation:

It is the closest answer. Trust Me.

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15

Answer:

2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 4 = -2(x - 5)

y + 4 = -2x + 10

y = -2x + 6

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation: