Minnie is making tea. She knows that her tea tastes best if she lets her tea bag sit in the hot water for exactly fifteen minutes. However, depending how hot the water is, she may have to leave her tea bag in the water for 2 minutes more or less than usual. Write and solve an absolute value equation to describe this situation

Answer:

9 cakes

Step-by-step explanation:

If each of the 17 people will eat 1/2 of a cake, you would 17*1/2 cakes. This is 17/2, or 8.5. You cannot usually order 8.5 cakes, so you would round up. 9 cakes.

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

Options:

A. [tex]y-1 = 4(x + 8)[/tex]

B. [tex]y = -4x + 15[/tex]

C. [tex]16x + 4y = 9[/tex]

D. [tex]y=-4x[/tex]

E. [tex]4x + 2y = 3[/tex]

Answer:

B. [tex]y = -4x + 15[/tex]

C. [tex]16x + 4y = 9[/tex]

D. [tex]y=-4x[/tex]

Step-by-step explanation:

Given

[tex]8x + 2y = 7[/tex]

Required

Select all equations that could be used.

Equation that could be used in place of [tex]8x + 2y = 7[/tex] must have the same slope.

Calculating the slope of [tex]8x + 2y = 7[/tex]

Make y the subject

[tex]2y = 7 - 8x[/tex]

[tex]y = \frac{7}{2} - \frac{8x}{2}[/tex]

[tex]y = \frac{7}{2} - 4x[/tex]

[tex]y = - 4x + \frac{7}{2}[/tex]

Using y = mx + b

Where

[tex]m = slope[/tex]

The slope is -4

Option A.

[tex]y-1 = 4(x + 8)[/tex]

Open bracket

[tex]y - 1=4x + 32[/tex]

Collect Like Terms

[tex]y - 4x = 32 + 1[/tex]

[tex]y - 4x = 33[/tex]

Make y the subject

[tex]y = 4x + 33[/tex]

The slope of this line is 4;

Hence, it can not be used.

Option  B.

[tex]y = -4x + 15[/tex]

The slope of this line is -4;

Hence, it can be used.

Option  C.

[tex]16x + 4y = 9[/tex]

Solve for4y

[tex]4y=9 - 16x[/tex]

Solve for y

[tex]\frac{4y}{4} =\frac{9}{4} - \frac{16x}{4}[/tex]

[tex]y =\frac{9}{4} - 4x[/tex]

[tex]y = - 4x + \frac{9}{4}[/tex]

The slope of this line is -4;

Hence, it can be used.

D. [tex]y=-4x[/tex]

The slope of this line is -4;

Hence, it can be used.

E. [tex]4x + 2y = 3[/tex]

Solve for 2y

[tex]2y = 3 - 4x[/tex]

Solve for y

[tex]\frac{2y}{2} = \frac{3}{2} - \frac{4x}{2}[/tex]

[tex]y = \frac{3}{2} - 2x[/tex]

The slope of this line is -2;

Hence, it can not be used.

From the calculations above, equations B, C and D are equivalent

Answer:

The sign is negative

Step-by-step explanation:

Given

[tex]Expression = 3xy[/tex]

[tex]x > 0[/tex]

[tex]y<0[/tex]

Required

Determine the sign

The expression can be split into 3 factors

[tex](3) (x) (y)[/tex]

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

[tex](+3) (+x) (-y)[/tex]

Leave only signs

[tex](+) (+) (-)[/tex]

[tex]+ * + = -[/tex]

So, we have:

[tex](+*+) (-)[/tex]

[tex](+) (-)[/tex]

[tex]+ * - = -[/tex]

So, we have:

[tex](+) (-) = -[/tex]

Hence, the sign of the expression is negative

Take for instance;

[tex]x = 2[/tex]

[tex]y = -4[/tex]

The expression would be:

[tex]3 *2 * - 4 =-24[/tex] -- negative

Answer:

The answer is x=−2y+4

Step-by-step explanation:

1) Add -4y to both sides.

2x+4y+−4y=8+−4y

2x=−4y+8

Step 2: Divide both sides by 2.

2x/2=−4y+8/2

x=−2y+4

Hope this helps

Given :

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional  $110 per hour for each hour worked over 35 hours per week.

To Find :

A cashier worked 39  hours one week and 37 hours the second week.

Show and explain to the cashier how her salary calculated in this two-week period.

Solution :

Week 1 :

For first 35 hours he will get fixed amount i.e $540.

Now, for next four hours he will get $110 per hour.

So, total salary, T = 540 + (110×(39 - 35)

T = $980

Week 2 :

Total salary, T = 540 + ( 110×( 37 - 35 ))

T = $760

Therefore, salary of two week period is $( 980 + 760 ) = $1740.

Answer:

Step-by-step explanation:

Apply the slope formula to be sure. The slope formula is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Filling in with our coordinates gives us:

[tex]m=\frac{-2-10}{-2-4}=\frac{-12}{-6}=2[/tex]

The slope is 2. If you don't want to use the slope formula you could just look at the line and pick 2 points the line goes through and use a slope triangle, but that's a bit more difficult to explain without the benefit of being there to point out the idiosyncrasies of it.

Answer:

well -4 is your x so we are going to go 4 units to the left. Then were gonna point it right there because your y value is 0 and will stay there.

Step-by-step explanation:

:)

Answer:

what to find the sum of Rs or

Answer:

If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars

Step-by-step explanation:

(wait but where is the question) Also 15 dollars or cents?

3*15= 45

4* 10= 40

45+40= 85

Answer: 15.7828283 miles

Step-by-step explanation: 5280*12 = 63360. There are 63360 inches in 1 mile. 1000000/63360=15.7828283

Answer: is 99x + 84 < 1,150

Step-by-step explanation:

Answer:

q= - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Simplify from 3 (q+4/3) = 2 to 3q+3(4/3)=2

Cancel the common factor 3

3q+4=2

3q=2-4

3q=-2

q=-2/3

Hi ! Does the question include an image?

Answer:

This one

Step-by-step explanation:

Help me

Answer:

FOREVER AND ALWAYS

Step-by-step explanation:

i love you more than you know:( <3

see you someday

The compound inequality which represents the given situation is 20 < x < 30.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say x represents the spend.

As per the given,

You can spend less than $30,

x < 30

You must also spend more than 20.

x > 20

Compound,

30 < x < 20

Hence "The compound inequality which represents the given situation is 20 < x < 30".

For more about inequality,

brainly.com/question/20383699

#SPJ2

let's say

A(-3,1) B(-3,5) C(4,1)

we need to find the perimeter of ABC for that we find each of the sides

AB BC and AC

there is a formula to find the distance between 2 poins

let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5

AB=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

AB=[tex]\sqrt{(-3+3)^2+(5-1)^2}[/tex]

AB=[tex]\sqrt{0^2+4^2}[/tex]

AB=4

we do the same thing for AC and BC

AC=[tex]\sqrt{(4+3)^2+(1-1)^2}[/tex]

AC=[tex]\sqrt{7^2+0^2}[/tex]

AC=7

BC=[tex]\sqrt{(4+3)^2+(1-5)^2}[/tex]

BC=[tex]\sqrt{7^2+(-4)^2}[/tex]

BC=[tex]\sqrt{49+16}[/tex]

BC=[tex]\sqrt{65}[/tex]

The perimeter is equal to the sum of the sides

P=AB+AC+BC=4+7+[tex]\sqrt{65}[/tex]=11+[tex]\sqrt{65}[/tex]

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

Given as :

The time period for the car loan = t = 2 years

The rate of interest applied = r = 6% at simple interest

The interest amount = S.I = $264

Let The principal amount which Elsa borrowed = $p

Now, From simple interest method

Simple Interest = 

Or, S.I = 

Or, $264 = 

Or, $264 × 100 = 12 × p

Or,  p = 

∴ p = $2200

So, The principal she borrowed = p = $2200

Hence,The Principal amount that Elsa borrowed for the car loan is $2200 . Answer

Answer:

yo, its

y=x−2

Step-by-step explanation:

Answer:

it is y = x-2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2(x+2) + 3x

2x + 4 + 3x = 34

5x + 4 = 34

5x = 34–4

5x = 30

x = 30/5

x = 6

Answer:

I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere hope it help

Step-by-step explanation:

Answer:

1 = 2x      2= -3    4 =3

Step-by-step explanation:

Answer:

1. 5x-3=-15

2. -15/5=-3

3. -15/-3=5

Step-by-step explanation:

Hope this helps :)

Answer:

about 5.9 meters/second

Step-by-step explanation:

300 meters / 51 seconds

= 5.88

≈ 5.9

Answer:

see explanation

Step-by-step explanation:

Given

3x² + 2y² = 24

To find the x- intercepts , let y = 0 in the equation and solve for x

3x² + 2(0)² = 24, that is

3x² = 24 ( divide both sides by 3 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ← x- intercepts

To find the y- intercepts. let x = 0 in the equation and solve for y

3(0)² + 2y² = 24 , that is

2y² = 24 ( divide both sides by 2 )

y² = 12 ( take the square root of both sides )

y = ± [tex]\sqrt{12}[/tex] = ± 2[tex]\sqrt{3}[/tex] ← y- intercepts

Answer:

x = 11

Step-by-step explanation:

3/6=5.5/x

Cross multiply.

3 * x = 6 * 5.5

x = 2 * 5.5

x = 11

Answer: point b=(-2,0) point c=(0.3)

triangle graph= c at the top b on the left side bottom and a on the right side botton

Step-by-step explanation:

Answer:

Henny = (x-8) dollars

Step-by-step explanation:

Janet's has x dollars.

Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.

Henny has = (x-8) dollars

Hence, the expression that shows dollars Hanley has is (x-8).

9514 1404 393

Answer:

  c) 5n +25q = 365

     2q -4 = n

Step-by-step explanation:

The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...

  2q -4 = n

The face value is 365 cents, so another equation is ...

  5n +25q = 365

These equations seem to match choice C.

whenever the line drops to the bottom of the graph the reason is because her speed drops to 0

Answer:

slope is 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

(4,3) (2,-7)

Put it in the equation of y2 - y1 over x2 - x1

-7-3 = -10 and 2 - 4 = -2 that will give you the fraction of -10/-2

Reduce the fraction and that will give you the answer of 5, slope = 5

In slope-intercept form it would be y - 3 = 5 (x - 4)

Hope this helps! ^^