Kim wants to earn at least $65 from her two jobs next week. At most, she can work 15 hours. Her first job pays $5 per hour, and her second job pays $7 per hour. Let x represent the number of hours worked at the first job and y represent the number of hours worked at the second job. Which system of linear inequalities models Kim's situation?

A)
+>15
x
+
y
>
15


5+7<65
5
x
+
7
y
<
65



B)
+≤15
x
+
y
≤
15


5+7≥65
5
x
+
7
y
≥
65



C)
+≤65
x
+
y
≤
65


5+7≥15
5
x
+
7
y
≥
15



D)
+>65
x
+
y
>
65


5+7<15

(B) y = 69,000 - 8,300x

Step-by-step explanation:

Let 8,300 be the scholarship and y be the remaining amount. Also x is the number of years.

Each year, the amount 8,300 is reduced by giving the scholarship worth 8,300. Hence, the coefficient of x should be negative sign.

If the initial amount is 69,000 and the remaining amount after 10 years is negative, the regression equation is

y = 69,000 - 8,300x

Answer:

1/3 of his cards are basketball cards

Final answer:

Junior has 6 baseball and 4 basketball cards, making a total of 10 cards. The fraction of basketball cards is 4/10, which simplifies to 2/5, meaning 2 out of every 5 cards in Junior's collection are basketball cards.

Explanation:

Jr has 6 baseball cards and 4 basketball cards. The total number of cards Junior has is 10 (6 baseball cards + 4 basketball cards). To find out what fraction of Junior's cards are basketball cards, we divide the number of basketball cards by the total number of cards. Therefore, the fraction of Junior’s cards that are basketball cards is 4/10. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2, resulting in a simplified fraction of 2/5. So, 2 out of every 5 cards in Junior’s collection are basketball cards.

Answer:

x=6

y=5

Step-by-step explanation:

15x=90 (corresponding angles)

x=90/15

x=6

Now

5x+12y=90(vertical angles)

5(6)+12y=90

30+12y=90

12y=90-30

12y=60

y=5(dividing both sides by 12)

There are 32 fluid ounces in 4 cups

In order to solve this problem, you need to know some facts:

[tex]1oz=0.125cups \\ \\ 1cup=8oz[/tex]

By knowing this, we can easily solve this problem by proportion:

[tex]Let: \\ \\ x:Fluid \ ounces \\ \\ \frac{x}{4}=\frac{1}{0.125} \\ \\ x=\frac{4}{0.125} \\ \\ x=32[/tex]

So there are 32 fluid ounces in 4 cups

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Answer:

4 and a half hours

Step-by-step explanation:

half an hour ((60 x 1) / 2) for 3 of the days (30 x 3) is 90 so 1 and a half hours. then, 2/3's of an hour ((60 x 2) / 3) for 3 days (40 x 3) is 120 so 2 hours. then, adding the last hour 1.5 + 2 + 1 is 4.5 or 4 and a half hours.

Answer:[tex]2 m/s^{2}[/tex]

Step-by-step explanation:

According to Newton's second law, the acceleration [tex]a[/tex] of an object with mass [tex]m[/tex] is directly proporional to the force [tex]F[/tex] applied to that object:

[tex]F=m.a[/tex] (1)

In the first case we are given the following data:

[tex]F=28 N[/tex]

[tex]a=7 m/s^{2}[/tex]

Substituting this information in (1):

[tex]28 N=(m)(7 m/s^{2})[/tex] (2)

Isolating [tex]m[/tex]:

[tex]m=4 kg[/tex] (3) This is the mass of the object

Now if we keep this calculated mass, but we change the applied force to [tex]F=8 N[/tex], we will have:

[tex]8 N=(4 kg)a[/tex] (4)

Isolating the acceleration:

[tex]a=2 m/s^{2}[/tex] (5) This will be the acceleration of the object is the force is changed to 8 N.

Answer:

$140

Step-by-step explanation:

Answer:

$140.00

Step-by-step explanation:

Gross pay is the pay before any deductions by taxes or other reason.

Simply multiply the five dollars by twenty-eight hours.

Answer:

7 units long

Step-by-step explanation:

We are given a right triangle ABC

We are required to determine the length of AC

a² + b² = c²

In this case;

AB is the hypotenuse and BC is one of the legs of the triangle;

Therefore;

AB² = BC²+AC²

Rearranging the formula;

AC² = AB² - BC²

       = 25² - 24²

       = 625 - 576

       = 49

AC = √49

     = 7

Thus, AC is 7 units long

Answer:

4 and 5

Step-by-step explanation:

Make a system of equations:

x+y=9

x-y=-1

x=9-y

9-y-y=-1

9-2y=-1

-2y=-10

y=5

Since y=5, x must be 4 since 4+5=9 and 4-5=-1

Hope this helped!

Answer:

Step-by-step explanation:

2 3/4 = 11/4

11/4-1/3

11/4x3=33/12

1/3x4= 4/12

33-4=29

2 5/12

Answer:

12 choices

Step-by-step explanation:

2*3 = 6

6*2= 12

You would have to multiply the numbers to see the number of choices.

There are 12 different choices for coffee in the shop.

First, we need to find the selections, these are:

Now we need to find the number of options for each selection:

The total number of combinations is the product between the numbers of options:

C = 2*3*2 = 12

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Assuming he spent $300 on specialty tools to make toy horses for children the number of   horses that  Samir sell in order to break even is 6 horses.

First step is to calculate his profit

Profit=$125-$75

Profit=$50

Now let determine how many horses does Samir sell in order to break even

Number of horse=$300/50

Number of horses=6 horses

Inconclusion the number of  horses that  Samir sell in order to break even is 6 horses.

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Answer:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

2p^2-9p+8=0

(2p^2-p)-(8p+8)=0

2p(p-1)-8(p-1)=0

(2p-8) (p-1)=0

2p-8=0

2p=8

P=8/2

P=4

Or

P-1=0

P=0+1

P=1

Answer:

4.0486

Step-by-step explanation:

The margin of error is calculated using  [tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }[/tex]

Where n=60 is the sample size and [tex]\sigma=16[/tex] is the population standard deviation.

The critical value corresponding to 95% confidence interval is [tex]z_{\frac{\alpha}{2}}=1.96[/tex]

We substitute the values to obtain;

[tex]E=1.96*\frac{16}{\sqrt{60} }[/tex]

[tex]E=1.96*2.06559=4.0486[/tex]

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + y² = z² , substitute values

4² + y² = ([tex]\sqrt{137}[/tex] )², that is

16 + y² = 137 ( subtract 16 from both sides )

y² = 121 ( take the square root of both sides )

y = [tex]\sqrt{121}[/tex] = 11 → D

Answer:

12

Step-by-step explanation:  

All you have to do is subtract 30 and 18 and your answer is 12.

Answer:

2/5 or 40%

Step-by-step explanation:

Take 18 away from 30 to find out the missing value of 12, and simplify to get a fraction. For a decimal input into calculator and multiply by 100

Answer:

Step-by-step explanation:

1.609 km=1 mile

1 km=1/1.609 mile

[tex]4.8 km=\frac{4.8}{1.609} ~miles=\frac{4.8*5280}{1.609} \approx~15,751.40~ft[/tex]

Answer:

the answer is D 15,751.40

1 Kilometer is equal to 3,280.839895 feet which is approximately 3,281 feet.

multiply 3,281 feet by 4.8 = 15,748.8 which can be rounded to make 15,751.40.

In total making the correct answer choice D.

The 13 is the radicand. The definition of radicand is "The number under the radical symbol. The correct option is B.

Any expression that contains the radical () sign is referred to as a radical expression in mathematics. This symbol, which is frequently used to calculate the square root of a number, is frequently called the "square root" symbol by mistake. But it can also refer to a cube root, a fourth root, or something higher.

The 'V'-shaped portion of the radical sign will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8. If there is no superscript number, the square root is required by the radical expression.

The 13 is the radicand. The definition of radicand is "The number under the radical symbol.

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In the expression ³√13, the number 13 is referred to as the radicand. The radical sign (√) indicates the operation of root extraction and the number 3 stands for the index, which is the degree of the root applied to the radicand.

In the mathematical expression ³√13, the 13 is called the radicand.

It's the number or expression underneath the radical sign (√) and it's the number you are taking the root of. In this case, we're finding the cube root of 13. The radical sign (√) itself represents the operation of root extraction. The number 3 in this instance would be known as the index, indicating the degree of the root applied to the radicand. In simpler terms, it's the number that determines what root of the radicand we are calculating.

Here, 3 means cube root.

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Answer:

6/13 > 4/13

4/13 < 6/13

Step-by-step explanation:

Answer:

Step-by-step explanation:

no, he is not. He literally added the numerators and the denominators. When ur adding fractions with the same denominator, u just add the numerators and keep the same denominator.

1/5 + 2/5 = 3/5

Answer:

No, because 1/5+2/5=3/5. 3/5 is also equivalent to 6/10, not 3/10.

Answer:

negative three and two thirds

Step-by-step explanation:

2/3(x+6)= -18

2/3x + 4 = -18

2/3x = -22

x = -3 2/3

Answer:

The answer is A

Step-by-step explanation:

Since we are finding Tim's height in 6 months, you would have to plug the 6 into the expression.

Answer:

Step-by-step explanation: it A

0.5+6= 3

60+3= 63

Answer:

[tex]2\pi[/tex]

Step-by-step explanation:

Formula of circumference is [tex]C = 2\pi r[/tex]

r = radius

plug in the numbers into formula to get

[tex]2\pi (1)[/tex] which will eqaul [tex]2\pi[/tex]

Final answer:

The circumference of a circle with a radius of 1 kilometer is approximately 6.28318 kilometers, calculated using the formula C = 2πR.

Explanation:

Given that the radius of a circle is 1 kilometer, we can calculate the circumference of the circle using the formula C = 2πR, where R is the radius of the circle and π (pi) is approximately 3.14159. Since the radius is 1 kilometer, we plug that value into the formula to get:

C = 2 × 3.14159 × 1 km

C = 6.28318 km

Therefore, the circle's circumference is approximately 6.28318 kilometers.

Answer:

50

Step-by-step explanation:

5³ ÷  (↓13 - 8) x 2

↓5³ ÷   5  x  2

125 ÷ 5 x 2

25 x 2

50

Answer:

-3 (the first option)

Step-by-step explanation:

Edge 2020

The linear speed of a point on Mercury's equator is approximately 6.77 miles per hour.

To find the linear speed of a point on Mercury's equator, we can use the formula for linear speed:

[tex]\[ \text{Linear Speed} = \frac{2\pi r}{T} \][/tex]

where:

- ( r ) is the radius of the planet,

- ( T ) is the time it takes for one revolution.

Given that the radius of Mercury is 1500 miles and it rotates once every 1400 hours, we can plug in these values into the formula:

[tex]\[ \text{Linear Speed} = \frac{2\pi \times 1500}{1400} \][/tex]

Simplifying this expression gives us the linear speed in miles per hour.

[tex]\[ \text{Linear Speed} = \frac{3000\pi}{1400} \approx 6.77 \, \text{miles per hour} \][/tex]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

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Final answer:

The customer would need to have 25 small gifts to wrap in order for the costs to be the same, whether using the department store's service at $2 per gift or paying his niece the $50 flat fee.

Explanation:

To determine how many small gifts need to be wrapped to make the cost the same whether paying his niece the flat fee of $50 or paying the department store $2 per gift, we can set up a simple equation:

Let x represent the number of small gifts.
Then, the cost of wrapping at the department store is $2 per gift, which means the cost is 2x dollars.
The niece's flat fee is $50, regardless of the number of gifts.

The equation to find the breakeven point where both options cost the same is:
2x = 50

Solving for x gives us:

x = 50 / 2
x = 25 gifts

Thus, if the customer has 25 small gifts to wrap, it would cost the same to have them wrapped by his niece at a flat rate or by the department store per gift.