A water tank holds 621 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 828 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\

The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.

-2

-3

-10

The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.

Answer:

compounded quaterly

Step-by-step explanation:

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Answer:

Let's say:

AM = current amount of money = 3000

APR = interest rate  = 2.25

n = number of compounding periods

t = 5 years

Final amount of money:

FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)

Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03

Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16

Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86

Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22

=>Continuous Compounding gives largest benefit.

=> Option C is correct

Hope this helps!

:)

Answer:95units2

Step-by-step explanation:

1/2x7x5+5x5=95

Answer:

The circumference is about 44 in.

Step-by-step explanation:

Assuming that 7 in is the radius of the pizza:

[tex]C=2\pi r[/tex]

[tex]C=2\pi 7\\C=14 \pi\\C=43.98 \text{in}[/tex]

I think the answer is 26 because you have to take 32% of 80.

-Dhruva;)

Jenny was at bat 250 times.

The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.

Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.

From that,

32% x = 80

32*x = 80 * 100

x = 250

Hence, Last season ball jenny was at bat 250 times.

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-f +2+4f = 8-3f

3f+2 = 8-3f

6f = 6

f = 1

Answer:

f = 1

Step-by-step explanation:

Isolate the variable, f. Note the equal sign, what you do to one side, you do to the other.

Add 3f and subtract 2 from both sides:

-f + 2 (-2) + 4f (+3f) = 8 (-2) - 3f (+3f)

-f + 4f + 3f = 8 - 2

Simplify:

(-f + 7f) = 6

7f - f = 6

6f = 6

Isolate the variable, f. Divide 6 from both sides:

(6f)/6 = (6)/6

f = 6/6

f = 1

1 is your answer for f.

~

Answer:

c

Step-by-step explanation:

So the right answer is 20.

Look at the attached picture⤴

Hope it will help u...

Answer:

20 is the answer

Step-by-step explanation:

17+24+26+13=80

80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.

    Hoped this works!

Answer:

a. 43.96 feet

b.153.86 square feet

Step-by-step explanation:

Hi, the path through the middle of the circular garden is the diameter.

Since the diameter is equal to:

Diameter = 2 radius (r)

Solving for r

14 =2r

14/2 = r

r = 7 feet

The distance around the outside of this garden is the perimeter.

Perimeter of a circle (P) = 2 π r

Replacing with the values given:

P = 2 (3.14) 7 = 43.96 feet

b. area of the circle-

Area of a circle (A)= π r²

Replacing with the values given:

A = 3.14 (7²) =153.86 square feet

(-1,3)

you plug -1 into the equation y=2x+5 for x since that is what x is equal to and then solve it so y= -3 then your coordinates would be (1,-3)

Answer:

(x-8) (x-4)

Step-by-step explanation:

x^2 -12x +32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8-4 = -12

(x-8) (x-4)

Answer:

(x - 4)

Step-by-step explanation:

x² - 12x + 32

x² - 8x - 4x + 32

x(x - 8) - 4(x - 8)

(x - 8)(x - 4)

Answer:

2nd choice: x = -2 or x= 3/5

Step-by-step explanation:

5x² + 7x = 6

We can solve.

5xx + 7x - 6 = 0

try the diamond method first

-30 = 5*-6....   -3*10 = -30  and  -3x + 10x = 7x

So...

5xx - 3x  + 10x  - 6 = 0

x(5x - 3) + 2(5x - 3)  = 0

(x +2)(5x - 3) = 0

roots  x = -2  and x = +3/5

Answer:

The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)

Answer:

D, D, G, G,

Step-by-step explanation:

1st. Decay: This is decay because number being multiplied is less than 1.

2nd. Decay:This is decay because number being multiplied is less than 1.

3rd. Growth: This is growth because the number being multiplied is greater than 1.

4th.Growth:This is growth because the number being multiplied is greater than 1.

Answer:

f(3) =16

Step-by-step explanation:

f(x) = 3x + 7

Let x= 3

f(3) = 3*3 +7

     = 9+7

      = 16

Answer: 16

Step-by-step explanation: f(x) = 3x + 7 means that if we put an x into our function, a 3x + 7 comes out.

So if we want to find f(3), we're putting a 3 into our function which means that a 3(3) + 7 comes out which simplifies to 9 + 7 or 16.

So f(3) = 16 or the value of the function at 3 equals 16.

Answer:

Do you have a sheet that I can reflect on so that I can come up with some questions? Thanks.

Step-by-step explanation:

Answer:

Triangle C

Step-by-step explanation:

Got it right on edge test

Answer:

c

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

The required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total marbles [sample space] = 100
Total favorable outcome = 40 = 40%
Now,
Picking another blues marble,
Total marble becomes 99 and the total favorable outcome becomes 39,
Probability of picking marble in two consecutive drawn,
= 40/100 × 39 / 99
= 0.158
= 15.8%

Thus, the required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.

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Answer:2

Step-by-step explanation:

number of pieces given to Jake=x

20-(6x+6)-x=0

x=2

check:

start 20 pieces of gum

Jake gets 2

Jill gets 2*6+6=18

Answer:

answer is sheet cake aka B on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

here is an solution :

Answer:

(-b) (4a-b)

Step-by-step explanation:

(2a – b)^2- 4a^2

Let m = 2a-b

m^2 - (2a)^2

We know this is the difference of squares

x^2 - y^2 = (x-y)(x+y)

(m-2a) (m+2a)

Replace m with 2a -b

(2a -b-2a) (2a-b+2a)

Simplify

(-b) (4a-b)

Answer:

(4a - b)(-b)

Step-by-step explanation:

If we let x = 2a - b and y = 2a, our expression now looks like

[tex]x^2-y^2[/tex]

This kind of a expression is a common pattern in algebra called a difference of squares, and it can be factored like this (for a visual proof, see the attached image, courtesy of Great Maths Teaching Ideas):

[tex]x^2-y^2=(x+y)(x-y)[/tex]

Replacing x and y with 2a -b and 2a, our expression now becomes

[tex][(2a-b)+2a][(2a-b)-2a]\\=(2a-b+2a)(2a-b-2a)\\=(4a-b)(-b)[/tex]

So in factored form,

[tex](2a-b)^2-4a^2=(4a-b)(-b)[/tex]

Answer:

Mayor or governor

Step-by-step explanation:

Step-by-step explanation:

Cuz sides of square are same, we just find hypotenusa side of triangle (use Phytagoras Theorem) :

c² = a² + b²

c² = 2² + 4²

c² = 4 + 16

c² = 20

c = √20

Side of square is √20 units.

The area of square :

A = s²

= √20²

= √20 × √20

= 20 units²

So, the area of square is 20 units²

Hope it helpful and useful :)

Answer:

18-72=90

32-128=160

50-200=250

Answer: 18, 160, 200

Step-by-step explanation: hope it helps...!

Answer:

25+4x=53 is the equation you would need to determine how many times she went after hours.

Step-by-step explanation:

if you also need to know how many times she went after hours. she went 7 times so x=7

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Both distributions are nearly symmetric. And the correct answer is A.

The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.

A histogram is a graphical illustration of information in bars of diverse heights.

A histogram displays the shape and spread of continuous sample data.

The true statements about the data of essay scores for high school sophomores and juniors in a contest are;

the juniors tended to have higher essay scores than the sophomores, the medians of both data sets are equal,

and the histogram is the best way to show that both distributions are nearly symmetric.

Therefore, distributions are symmetric.

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Answer:

35%

Step-by-step explanation:

65%= .65

100-.65=.35

.35=35%!