Find the slope (-1,-9) and (5,6)

Answer:

Part A) The system of inequalities are

[tex]x+y\leq 15[/tex]

[tex]4x+8y\geq 80[/tex]

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Write a system of inequalities that can be used to represent the situation.

Let

x ----> the number of hours worked as a babysitter

y ----> the number of hours worked as a library assistant

we know that

She is able to work no more than 15 hours a week

so

[tex]x+y\leq 15[/tex] -----> inequality A

Edith wants to  earn at least $80 a week

The word "at least" means " greater than or equal to"

so

[tex]4x+8y\geq 80[/tex] ----> inequality B

Part B) Graph these inequalities on the set of axes.

Using a graphing tool

The solution of the system is the triangular shaded area in the attached figure

Part C) Determine and state one combination of hours that will allow Edith to earn at least $80 per week  while working no more than 15 hours

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities. (The ordered pair lie in the shaded area of the solution set)

Looking at the graph

The ordered pair (4,9) lie in the shaded area

Verify if the ordered pair satisfy both inequalities

Inequality A

[tex]4+9\leq 15[/tex]

[tex]13\leq 15[/tex] ---> is true

so

The ordered pair satisfy the inequality A

Inequality B

[tex]4(4)+8(9)\geq 80[/tex]

[tex]88\geq 80[/tex] --> is true

so

The ordered pair satisfy the inequality B

therefore

The ordered pair is a solution of the system

(4,9)

That means

The number of hours worked as a babysitter in a week is 4 and  the number of hours worked as a library assistant  in a week is 9

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of hours at the $4 job and y represent the number of hours at the $8 job, hence:

x + y ≤ 15   (1)

Also:

4x + 8y ≥ 80  (2)

Graphing the inequality, the solution is at:

(5, 10)

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

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Answer:

Step-by-step explanation:

[tex]\frac{6-4x}{y^{4}}=\frac{6-4*(-7)}{2^{4}}\\\\=\frac{6+28}{16}\\\\=\frac{34}{16}\\\\=\frac{17}{8}\\\\=2\frac{1}{8}[/tex]

Answer:

-8.5

Step-by-step explanation:

5.1y + 21.3 = -0.3y - 24.6

get the equation to one side and have so it y is positive

5.4y + 45.9= 0

Then subtract 45.9 to the 0 so its like this

5.4y = -45.9

then devide -45.9/5.4

answer y= -8.5

Answer:

-8.5

Step-by-step explanation:

Answer:it is B

Step-by-step explanation:

Answer:

The answer A. "The absolute value of a number gives its distance from zero on the number line."

Step-by-step explanation:

An absolute number has these in it '| |'. An absolute number always is positive, because it represents a difference.

For example, the difference of 0 and -30 is |30|.

Though 0 - 30 is -30, the DIFFERENCE is |30|.

As the answer says, "its distance from zero on the number line".

Final answer:

The absolute value of -9 equals the absolute value of 9, which is 9, because absolute value represents the distance from zero on the number line, and both -9 and 9 are 9 units away from zero, regardless of their direction.

Explanation:

The reason why |-9| = |9| is because the absolute value of a number refers to its distance from zero on the number line. This distance is always a non-negative number since it does not refer to direction, just the magnitude of separation from zero. Therefore, both -9 and 9 are 9 units away from zero, and their absolute values are equal.

In mathematical terms, the absolute value function, denoted by | |, strips away the sign of a number, turning any negative number into its positive counterpart. So, |9| is already positive, and |-9| transforms -9 into 9 because you remove the negative sign, rendering both absolute values equivalent.

Answer:

The best choice is to use a calculator (the button is [tex]\sqrt[/tex]), but if that is not an option here are a few tips.

If a perfect square ends with a 1, then the last digit of its square root has to be either 1 or 9.

If a perfect square ends with a 4, then the last digit of its square root has to be either 2 or 8.

If a perfect square ends with a 5, then the last  digit of its square root is definitely 5.

If a perfect square ends with a 6, then the last digit of its square root has to be either 4 or 6.

If a perfect square ends with a 9, then the last digit of its square root has to be either 3 or 7.

I took a look and all of them seem to be perfect squares so hopefully this helps!

Answer:

3 t-shirts

Step-by-step explanation:

Lets recap the information we will use from this problem:

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

After paying for the festival ticket, Staci will have $112.04 left. As each t-shirt costs $30, she can buy a maximum of 3 t-shirts.

The question is about determining how many T-shirts Staci can purchase given a specific budget. First, Staci has to cover the cost of the music festival ticket, which is $87.96. After paying for the ticket, Staci would have $200 - $87.96 = $112.04 left.

Given that each T-shirt costs $30, the maximum number of T-shirts she can purchase can be calculated by dividing the remaining amount by the cost of a T-shirt. Hence, $112.04/$30 ≈ 3.73. Since she can't buy a fractional T-shirt, the maximum number of T-shirts she can buy is 3.

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Answer:

12 - 4

Step-by-step explanation:

To get the range, subtract the lowest number from the highest

The highest number is 12

The lowest number is 4

Range = 12 - 4

= 8

Answer:

12 - 4

Step-by-step explanation:

To get the range, subtract the lowest number from the highest

The highest number is 12

The lowest number is 4

Range = 12 - 4

= 8

Step-by-step explanation:

Final answer:

Ursula made $1,222 by selling 47 copies of her app for $26 each. The calculation is straightforward multiplication, and the numbers provided for the area model were not needed.

Explanation:

To calculate how much money Ursula made from selling 47 copies of her new app at $26 each, we should multiply the number of copies sold by the price per copy. So, the calculation will be as follows:

47 copies imes $26/copy = $1,222.

Therefore, Ursula made $1,222 from her app sales.

The numbers provided for the area model are part of another exercise and not relevant to this calculation. In this case, we did not need to use the area model to find the answer.

Answer:

$26.25

Step-by-step explanation:

So what you do is divide 25 by 100 so its a decimal .25 then multiply that by 35 and you get 35/4 or 8.75 you take that number and subtract it from 35 and you get 26.25.

For future reference what ever percentage you have like if says it went up 80% you divide that by a hundred also and you get .80 you multiply that by 35 you get 28 you don't subtract it from the original price but you add it so you get 35+28=63 and that's your final answer.

Remember you divide the percentage for example 25 by 100 multiply by the price it gives for example 35 if the question says off you subtract what you got from the original price if it went up you add it to the original price and that's your final answer. Hope this help :)

Answer:

the answer is 6.4%

Step-by-step explanation:

Because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640% hope it helps!!!!!!!!!

Answer:

14

Step-by-step explanation:

2x + y = 20                                                                                     (1)

2x + 3y = 36                                                                                  (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

          ⇔ 2y = 16

          ⇔ y = 8                                                                               (3)

From (3) and (1), we have:

    2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.

To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.

The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.

Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.

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Step-by-step explanation:

1. Divide both sides by 3

2x - 4 = 6/3

2. Simplify 6/3 to 2

2x - 4 = 2

3. Add 4 to both sides

2x = 2 + 4

4. Simplify 2 + 4 to 6

2x = 6

5. Divide both sides by 2

x = 6/2

6. Simplify 6/2 to 3

x = 3

Answer:

15000

Step-by-step explanation:

We have, 60% × x = 900 or,  

60

100

× x = 9000

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 9000 ×  

100

60

x = 15000

If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints:

[tex]x\geq 0[/tex] ----> constraint A

[tex]y\geq 0[/tex] ----> constraint B

[tex]2x+2y\leq 10[/tex] ----> constraint C

[tex]3x+y\leq 9[/tex] ----> constraint D

Solve the system of inequalities by graphing

using a graphing tool

The solution is the quadrilateral shaded area

see the attached figure

The vertex of the figure are

(0,0),(0,5),(2,3) and (3,0)

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function C and then compare the results

we have

[tex]C=4x+2y[/tex]

[tex]For (0,0) -----> C=4(0)+2(0)=0\\For (0,5) -----> C=4(0)+2(5)=10\\For (2,3) -----> C=4(2)+2(3)=14\\For (3,0) -----> C=4(3)+2(0)=12[/tex]

therefore

The maximum value of C is 14

Answer:

The maximum value is c=14

Step-by-step explanation:

I hope this helps

I also did the question on acellus

Answer:

B) 384

Step-by-step explanation:

Hello! This is the answer.

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Lateral Surface Area of a square pyramid (4 isosceles triangles):

For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s.  With 4 sides we need to multiply by 4.

L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)

Squaring the 2 to get it back inside the radical,

L = a√(a2 + 4h2)

Base Surface Area of a square pyramid (square):

B = a2

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))

Therefore your answer is B 384.

Answer:

4 (2y-1)=3y+9

-2y. -2y

4 (1)=1y+9

-1. -1

4=1y+8

÷4. ÷4

0=1y+2

Answer:

y = 2.6

Step-by-step explanation:

in order to solve for y in the equation 4(2y-1) = 3y + 9

we fisrt open the bracket according to BODMAS rule

4(2y-1) = 3y + 9

8y - 4 = 3y + 9

the next strp is to collect the like terms

8y -4 -3y = 9

please note that when ever you are taking a positive number across the equall to sign it changes to negative (-) same thing applies to negative sign it changes to positve(+) respectively

8y-3y = 9 + 4

5y = 13

divide both ides by 5

5y/5 = 13/5

y = 2.6

Answer:

yes it is

Step-by-step explanation:

Answer:

- 2.775 - y

Step-by-step explanation:

 -3.4+(-y)- -5/8

Note: (1) + × - = -

2) - × - = +

3) - × + = -

Therefore

 -3.4+(-y)- -5/8

= -3.4 - y + 5/8

-3.4 - y + 0.625

Collect like terms

0.625 - 3.4 - y

= - 2.775 - y

I hope this was helpful, please mark as brainliest

Answer:

D 464

Step-by-step explanation:

lemme know if you need an explanation

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be [tex]600(1 - \frac{20}{100}) = 600 \times 0.8 = 480[/tex].

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be [tex]480(1 + \frac{20}{100}) = 480 \times 1.2 = 576[/tex].

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be .

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be .

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer: A

Step-by-step explanation:

15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)

Expression represents the situation of shipping company damages is 15 x (-$175.50).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,

Expression that represents this situation = 15 * 175.50

this value will be in negative since its a loss.

Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.

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Answer:

Option 1 - y cubed z superscript 4

Step-by-step explanation:

Given : Expression y times y times y times z times z times z times z.

To find : Which expression is equivalent to given expression ?

Solution :

Re-write the expression as,

[tex]y \times y \times y \times z \times z \times z \times z[/tex]

Write the number of time value repeat itself as the power,

[tex]y \times y \times y \times z \times z \times z \times z=y^3\times z^4[/tex]

[tex]y \times y \times y \times z \times z \times z \times z=y^3z^4[/tex]

or we can say that the expression is y cubed z superscript 4.

Therefore, option 1 is correct.

Answer:

it is A).

Step-by-step explanation:

Answer:

Step-by-step explanation: 5 times 2 equals 10

ANSWER IS D HOPE IT HELPS

Answer:

Step-by-step explanation:

4:30am

Answer:

[tex]ratio=\frac{5}{9}[/tex]

Step-by-step explanation:

Let

x ----> the number of blue shapes in the set

y ----> all shapes in the set

we know that

To find out the ratio of blue shapes to all shapes in the set , divide the number of blue shapes in the set by the number of all shapes in the set

we have

[tex]x=5\\y=9[/tex]

therefore

The ratio is equal to

[tex]ratio=\frac{x}{y}[/tex]

substitute

[tex]ratio=\frac{5}{9}[/tex]

Answer: It would be letter B (5:9)

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

Y equals 1/2 x -4 and passes through the point 6 / -2

Step-by-step explanation: