The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle

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:

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.

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:

50

Step-by-step explanation:

5³ ÷  (↓13 - 8) x 2

↓5³ ÷   5  x  2

125 ÷ 5 x 2

25 x 2

50

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:

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:

$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:

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!

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.

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

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:

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:

x=2

Step-by-step explanation:

5(6x-1)-10x+5=4(x+10)-4x

simplify both sides

30x-5-10x+5=4x+40-4x

Simplify even further

20x=40

x=2

Answer:[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be [tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{6}[/tex]=[tex]\frac{1}{12}[/tex]

Probability of getting a head followed by a 6 is 1/12

Step-by-step explanation:

There are 2 possible outcomes of tossing a coin a head and a tail.

The probability is 1 out of 2 each for head and tail.

Probability of getting a 6 when a dice is rolled is 1 out of 6 for each face i.e 1,2,3,4,5,6

So the probability of getting a head followed by 6 is 1/2*1/6 = 1/12

It can also be understood as below.

There can be 12 possible combinations once a coin is tossed and a die is rolled. Head-1, Head-2. Head-3, Head-4, Head-5, Head-6, Tail-1, Tail-2, Tail-3, Tail-4, Tail-5, Tail-6

In the list there is 1 outcome that we need. Head-6. This again gives us the chance of getting Head-6 as 1 out of 12.

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]

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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Answer:827

Step-by-step explanation:

Add 620 plus 207

Answer:

-0.22222222222

Step-by-step explanation:

Which is (B)

(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:

Kira served 25 orders, Bill served 34 orders and Michael served 75 orders.

Step-by-step explanation:

Let Kira served x number of orders.

So, Bill served (x + 9) orders and Michael served 3x orders.

Now, it is given that Kira, Bill, and Michael served a total of 134 orders.

So, x + (x + 9) + 3x = 134

⇒ 5x + 9 = 134

⇒ 5x = 125

⇒ x = 25

Therefore, Kira served 25 orders, Bill served (25 + 9) = 34 orders and Michael served 3 × 25 = 75 orders. (Answer)

Answer:

6/13 > 4/13

4/13 < 6/13

Step-by-step explanation:

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:

X=40 degrees

Step-by-step explanation:

Having trouble with RSM?

The value of angle x will be equal to 40 degrees.

According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent.

In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines. In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

In the diagram attached with the answer below apply the corresponding angle theorem to calculate the value of x.

The value of angle x by using corresponding angle theorem will be calculated as below:-

x = 180 - 65 - 75

x = 180 - 140

x = 40

Therefore, the value of angle x will be equal to 40 degrees.

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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

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:

$153.75

Step-by-step explanation:

$71.75 / 7=$10.25

$10.25 x 15 =$153.75

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:[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.

I believe it's a 25% profit.

950+250= 1200

1500-1200= 300

300/1200= 0.25

0.25 x 100= 25%

Answer:

I want to say 20% I could be wrong

Step-by-step explanation:

$950 + $250 = 1,200

1,200 ÷ 1500 = 0.8

0.800 > 80.0

80%

100% - 80% = 20%

Net Profit Margin = 20%

Net Profit =$300

Profit Percentage = 25%