Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .

Answers

Answer 1

Answer:

y=  3x + 8

Step-by-step explanation:

y = mx + b

m = 3 inches of water added each day

x = 8 inches of water at start

Answer 2

y=  3x + 8 is the required equation.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.

We have,

m = 3 inches of water added each day

x = 8 inches of water at start

Converting in y = mx + b, we get,

y = 3x+8

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Related Questions

two angles complementary to the same angle are congruent to each other True/False

Answers

Answer: true

Step-by-step explanation:

It is true.............................

i will mark brainliest!!!! !!


(picture included with ONE question ^^^^^)

Answers

Answer:

2 and 4

Step-by-step explanation:

the number of years after 2000 cannot be negative, nut it can be 0 since you can say that it is the year 2000

so an inequality would be t is greater than or equal to 0, and you can write this as t [tex]\geq[/tex] 0

4 is just saying what t [tex]\geq[/tex] 0 in word form: t is greater than or equal to 0

Can someone please tell me if these are right??? Please be honest and only answer if you truly know please:)

Answers

Answer:

Yes, I think they are right cause i got the same answer

Step-by-step explanation:

solving two step inequalities word problems​

Answers

Answer:

Sylvia needs to work at least 19 hours.

Step-by-step explanation:

Inequality: 10x + 120 ≥ 310

Subtract 120 from both sides;

10x ≥ 190

Divide both sides by 10;

x ≥ 19

PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA

Answers

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

What are congruent triangles?

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

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PLEASE ANSWER THESE 4 QUESTIONS WILL MARK BRANLIEST I AM TIMED :)

Answers

Answer:

its 3.

Step-by-step explanation:

HOpe that helped

Solve by completing the square.

[tex]x^{2} -8x-5=-3[/tex]

Type in the step before you square both sides.

format ex. [tex](x+2)^{2} =-87[/tex]

Answers

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x  = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

      • take the coefficient of X

that is -8

     • divide it by 2

-8 ÷ 2 = -4

     • square that number

-4*-4 = 16

     • then add it to both sides of the  equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 =  sqr root (18) +4 = 4.2426406871  + 4 = 8.2426406871

x2 = sqr root (18) -4 =  = 4.2426406871  - 4 = .2426406871

       

Step-by-step explanation:

Ms. Lai loves soup. This weekend she visited each of her family member’s house to drink their soup. She drank 2 cups of soup at her aunt’s place, 4 pints of soup at her uncle’s place, and 2 quarts of soup at her dad’s place. Can you find out how many ounces of soup she drank this weekend???? Give explanation this is due in 15 min HELPP pleaseee

Answers

Answer:

112 Ounces

Step-by-step explanation:

2 Cups + 4 Pints + 2 Quarts = 14 Cups

14 Cups = 112 Ounces

Answer:

144 ounces of soup

Step-by-step explanation:

2 cups= 16 ounces

4 pints= 64 ounces

2 quarts= 64 ounces

64+64+16=144

Rewrite the product as a power: [tex]x^{7} y^{7}[/tex]

Answers

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[tex] {x}^{7} {y}^{7} = ({x \times y})^{7} = ({xy})^{7} [/tex]

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Answer: ❤️❤️(x*y) 7

=(xy) 7

PLEASE PLEASE HELP ME OUT ITS URGENT


What are the solutions to the quadratic equation?

Answers

Answer: Choice C)  [tex]x = 4\pm2\sqrt{10}[/tex]

This is the same as saying [tex]x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}[/tex]

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

Explanation:

First get everything to one side

x^2 + 13 = 8x + 37

x^2 + 13 - 8x - 37 = 0

x^2 - 8x - 24 = 0

Here we have a quadratic in the form ax^2+bx+c = 0

Note how a = 1, b = -8, c = -24

Those values are plugged into the quadratic formula below

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(-24)}}{2(1)}\\\\x = \frac{8\pm\sqrt{160}}{2}\\\\x = \frac{8\pm\sqrt{16*10}}{2}\\\\x = \frac{8\pm\sqrt{16}*\sqrt{10}}{2}\\\\x = \frac{8\pm4*\sqrt{10}}{2}\\\\x = \frac{2(4\pm2\sqrt{10})}{2}\\\\x = 4\pm2\sqrt{10}[/tex]

This shows the answer is choice C.

The plus minus breaks down that equation these two solutions

[tex]x = 4+2\sqrt{10} \ \ \text{ or } \ \ x = 4-2\sqrt{10}[/tex]

Answer:

x^2+13=8x+37

x^2+13-8x-37=0

x^2-24-8x=0

x^2-8x-24=0

x= -(-8)plus or minus [the square root of (-8)^2-4*1(-24)]/2*1

x= 8 plus or minus [the square root of 64+96]/2

x= 8 plus or minus [the square root of 160]/2

x= 8 plus or minus 4 [the square root of 10]/2

x=8+4 [the square root of 10]/2
x=8-4 [the square root of 10]/2

or simplified,

x=4+2 [the square root of 10]
x=4-2 [the square root of 10]

So your answer is C. x=4 plus or minus 2 [the square root of 10]

Twice the difference of a number and ten is fifty-four. Find the number,

Answers

Answer:

37

Step-by-step explanation:

2(x-10)=54

2x-20=54

2x=74

x=37

6TH GRADE MATH - WILL GET 69 POINTS FOR ANSWERING
A movie theater is located on a map of a city represented by a coordinate plane. The location of the movie theater is at (−3, −4). Which map shows the correct location of the movie theater?

1; A coordinate grid with a point at 3 units to the right and 4 units down from the origin labeled movie theater.

2; A coordinate grid with a point at 3 units to the left and 4 units down from the origin labeled movie theater.

3; A coordinate grid with a point at 3 units to the right and 4 units up from the origin labeled movie theater.

4; A coordinate grid with a point at 3 units to the left and 4 units up from the origin labeled movie theater.

Answers

Answer:

The 1st choice

Step-by-step explanation:

Let a point is defined as P(a,b).

If a>0, then point is a units right from origin and if a<0, then then point is a units left from origin.

If b>0, then point is b units up from origin and if b<0, then then point is b units down from origin.

It is given that the location of the movie theater is at (2, −3).

In the given point a=2>0 and b=-3<0.

A coordinate grid with a point at 2 units to the right and 3 units down from the origin labeled movie theater.

In pretty sure it’s the 1st choice I’m so sorry if it’s wrong

DO YOU KNOW THE ANSWER???

Answers

Answer: I think it is D x=8(k+c)

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Isolate the variable by diving each side by factors that don't contain the variable, which is 8.

1) Last year, Springfield Middle School had 640 students. This year, it has 480
students. What is the percent of decrease? *

Answers

The percent of decrease is -25%.

Given that,

Last year, Springfield Middle School had 640 students. This year, it has 480 students.

Calculation:

[tex]= (480 - 640) \div 640\\\\= -160 \div 640[/tex]

= -25%

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How many solutions does this system have?

y =-3x. -9x-4y=21
one
two
an infinite number
no solution

Answers

Answer:

one or seven READ DESCRIPTION

Step-by-step explanation:

y =-3x. -9x-4y=21

-9x+12x=21

3x=21

3*7=21

if you didn't mean to do a double negative then it would be one, but otherwise it's seven

Answer:

one

Step-by-step explanation:

right on edge

6. A shopkeeper buys a stove from a manufacturer
for $860.
Calculate:
(a) the selling price if he makes a profit of 15%

Answers

Answer:

129

Step-by-step explanation:

google 15% off 860$ and which equals 731 and then do 860-731

Owen owns Ultra Iceez, an ice cream stand. On Tuesday morning, he withdrew $120 from the
stand's bank account to pay for new door locks. On Tuesday afternoon, he deposited $315
from the day's sales.
What was the total change in the ice cream stand's bank account relative to where it started?

Answers

Answer:

$95

Step-by-step explanation:

315-120=95

Answer:

195

Step-by-step explanation:

A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. How much will the customer earn in one year?

Answers

Given:

Principal amount = $3000

Rate of simple interest = 1.1%

To find:

The amount that the customer will earn in one year.

Solution:

Formula for simple interest is

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Substituting P=3000, r=0.011 and t=1, we get

[tex]I=3000\times 0.011\times 1[/tex]

[tex]I=33[/tex]

Therefore, the customer will earn $33 in one year.

what is 0.2 as a fraction

Answers

It’s 2/10 there you go since there’s no 0 infort of the 2 it’s always a 10

Answer:

That is  1/5.

Step-by-step explanation:

It is also 20%(if you need that too.)

State the slope and y intercept of this Y= -5x -1

Answers

Answer:

Slope: -5

y-Intercept: -1

Step-by-step explanation:

In the equation y = mx + b (its the form of a linear equation) the slope is m and the y-intercept is b. Comparing that to the problem, we can see that m = -5 and b = -1. So, the slope is -5 and the y-intercept is -1.

Answer:

y= -5x -1

y=mx+b

b- is y intercept

m-is slope

Step-by-step explanation:

Trevon made 24 of the 40 free throws he attempted last season. What percent of his attempted free throws did Trevon make?

Answers

Answer:

60%

Step-by-step explanation:

24/40=0.6

0.6=60%

Answer:

60

Step-by-step explanation:

24:40×100=

(24×100):40=

2400:24=60

What is 12 11/48 rounded to the nearest half A.12 B.12 1/2 C.13 D.13 1/2

Answers

Answer:

A.12

Step-by-step explanation:

The reason is that 11/48 is equal to 0.2239..., so when you round that answer, it is closer to 12.

m_DUL+ m_LUG=
MZDUG
Completing measure proofs

Answers

is that your actual work because if it is then ummm.... i- i feel bad for you :((

Struggling with this problem need help badly

Answers

Answer:

Step-by-step explanation:

How do I solve this
Thanks

Answers

Answer:

-8

Step-by-step explanation:

-8 * (-2) - 4 * (6) =

16 - 24

0

f(1) = -2

g(4) = 6

5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)

Answers

Answer:

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

[tex]\frac{1}{5} +\frac{1}{2}[/tex]

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.

Entonces:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]

Ahora  simplemente sumas los denominadores:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

[tex]1-\frac{7}{10}[/tex]

Restando de manera similar al procedimiento usado para la suma se obtiene:

[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12  bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]

cantidad total de bombones=40

La caja tenía 40 bombones.

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?

Answers

Answer:

Step-by-step explanation:

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.
pls answer pls pls

Answers

Answer:

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.

pls answer pls pls

Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?

5 cm
10 cm
20 cm
30 cm

Answers

Answer:

11

Step-by-step explanation:

3.1/3÷2.3/5
I Mark brainlies ​

Answers

Answer:

1.11/39

Step-by-step explanation:

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