Solve the system of equations.

Answer:

see explanation

Step-by-step explanation:

∠RHC = 145° ( given )

∠JHK = 145° ( vertical to ∠RHC )

∠RHJ = 180° - 145° = 35° ( straight angle )

∠CHK = 35° ( vertical or straight )

∠HKS = 35° ( alternate to ∠CHK )

∠SKU = 145° ( straight angle )

∠OKU = 35° ( vertical or straight )

∠HKO = 145° (vertical to ∠SKU )

Answer:

5.91%

Step-by-step explanation:

We are given an investment deposited fro 1 year compounded daily at an annual interest rate of 5.75%.

Compounding period per year, n: 365

The effective annual yield can be calculated by the following formula:

Effective Annual Yield = [tex] (1+\frac{r}{n})^{n}-1[/tex]

where n = 365

Interest rate, r= 5.75% = 0.0575

[tex]=(1+\frac{0.0575 }{365})^{365}-1[/tex]

= 0.059

The annual effective yield is 5.91%

You move figure 5 to figure 7. You move 4 units right and 8 units up.

Describing the transformation in the figure

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we have:

Figures 5 and 7 have the same size, orientation and the same shape

This means that both figures can be translated

In this case, it is:

You move figure 5 to figure 7. You move 4 units right and 8 units up.

Answer:

$100

Step-by-step explanation:

We can see from the graph that the rate of change is $20.  This is because for every increase in x, the value of y increases by $20.

Going from this, the value at x=4 is $80; this will make the value at x=5

80+20 = 100.

Answer:

The answer is C 100

Step-by-step explanation:

Answer:

x(x -2)

Step-by-step explanation:

The given expression is [tex]x^{2} - 2x[/tex]

Here "x" is the common factor, we can take it out and write the remaining terms in parenthesis.

x(x - 2)

So the factors are x and (x-2)

Thank you.

Answer:

The passengers paid approximately 162500

Step-by-step explanation:

We are find how much the passengers paid

657 passengers * 247 per passenger

Round 657 to 650

Round 247 to 250

650 * 250 = 162500

The passengers paid approximately 162500

Let's go:

[tex]x^2 = [- 6 - (- 10)]^2 + [- 1 - (- 3)]^2 \\\ x^2 = 16^2 + 4^2 \\\ x^2 = 256 + 16 \\\ x^2 = 272 \\\ x = \sqrt{272} \\\ x = 16,5[/tex]

I hope I helped you.

Use the distance formula

d= square root of [(x-x)^2+(y-y)^2]

Step-by-step explanation:

d= sq. root of [(10-(-6))^2+(-1-3)^2]

= sq. root of [16^2 + (-4)^2]

= sq root of (256+16)

= sq root of 272 or 4.7

Answers:

Rent = 750

Savings = 750

Groceries = 625 (you are correct)

Other = 375

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

Explanation:

Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.

Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750

For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.

You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.

Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375

As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.

Answer:

Rent: $750

Savings: $750

Groceries: $625

Other: $375

Step-by-step explanation:

I used the formula:   Part/Whole  =  Percent/100

So for the first two, since they are the same, I did x for the part, 2,500 for the whole, 30 for the percent, and 100. Then I did 30 times 2,500 and I got 75,000. Next I did 75,000 divided by 100 and got 750.

For "Groceries", I did the same thing except used x for the part, 2,500 for the whole, 25 for the percent, and 100.

For "Other", I did the same thing except used x for the part, 2,500 for the whole, 15 for the percent, and 100.

HOPE THIS HELPS!    :)

He filled 2 bags with trail mix.

Simply divide 3/4 into 3/8.

3/4 / 3/8 = 2

2 is the answer.

The answer to your question is 2

Answer:

Step-by-step explanation:

1) 144 x $12 = $1728.00

2) $10 x 2 = $20       $20 x 3 = $60      $30 x 2 = 60;   $20+$60+$60 = $140

3)  $350 - $234 = $116.00

4) $225 ÷ $15 = 15 lawns will need to be cut

5) 2/4 = 1/2 = .50 = 50%  B

6) 0.99 + 1.19 + 1.50 + 0.99 =  $4.67

7)  B  90 seconds is = 1 minutes and 30 seconds  (1 minute = 60 seconds)

8) 4 weeks x 5 nights = 20 nights of studying

   20 nights x 30 minutes = 600 minutes

   600 minutes ÷ 60 (minutes in an hour) = 10 hours of studying  D

Answer:

Step-by-step explanation:

8x^2-76x+40x-380

8x^2-36x-380

Answer:

The price of the popsicles are $3.15 with the coupon

Step-by-step explanation:

To find the price of the item, we need to find the discount

discount = price * percentage off

discount = 4.5 *.3

discount =1.35

New price = original price- discount

new price = 4.5 - 1.35

new price = 4.5 -1.35

new price = 3.15

The price of the popsicles are $3.15 with the coupon

Based on proportional standards, if $32 represents 1/4 of Brianna's total earnings from babysitting, then she earned a total of $128.

From the amount Brianna saved, we know that $32 represents 1/4 or 25% of the total amount she earned from babysitting. If $32 is a quarter of the total amount, then we can find the total amount by multiplying $32 by 4. This is because 1 divided by 1/4 is equal to 4. So, Brianna earned a total of $32 x 4 = $128 from babysitting. This is the solution to the problem referred to as proportional reasoning. It involves understanding the concept of fractions and simple multiplication.

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Answer:

C. 2 x (6 + 8)

Step-by-step explanation:

If you are trying to add before you multiply, you have to put a parantheses. This way, you would add 6 + 8 first, then multiply it by 2.

Answer:

The answer is 18 GB

Step-by-step explanation:

Okay to the breakdown:

This is a word problem that requires basic knowledge of equality.

So lets say that the total amount of data at the beginning of the cycle is equal to X.

We are told that the data has been used for 8 days at a daily rate of 1.5GB per day, so the total data already used will be "Days × Rate" => 8 × 1.5 = 12GB.

We are also made to know that after the 8 days we still have 6 GB left out of the initial amount X.

Let put all the above in an equation:

X - 12 = 6;

Using the approach of putting liked them together we will add 12 to both sides:

X -12 + 12 = 6 + 12 => X = 18;

So the amount at the beginning of the cycle is 18 GB.

Part A: x=2

This would make both perimeters equal to 24.

Part B: No solution.

You cannot make x equivalent to anything but 2, or the square would not be real. All four sides of the square must equal 6. This would make the area 36 units squared. If x was 2 for the rectangle, the area would be 20. It is impossible to make them equal. Tell me if I'm wrong, though.

Answer:

The most money she can borrow is $48478.7

Step-by-step explanation:

We are given

Kylie can afford a $1310-per-month house loan payment

so,

PMI=1310

t=25 years

n=12

APR=8.4%=0.084

So,

total money =(PMI)*t*n

[tex]A=1310\times 12\times 25[/tex]

[tex]A=393000[/tex]

now, we can use formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

we can plug values

[tex]393000=P(1+\frac{0.084}{12})^{12\times 25}[/tex]

now, we can solve for P

so, we get

[tex]P=\frac{393000\times \:12^{300}}{12.084^{300}}[/tex]

[tex]P=48478.7[/tex]

So,

The most money she can borrow is $48478.7

Answer:

The is ($1310)((1+0.007)^300-1)/(0.007)(1+0.007)^300

Step-by-step explanation:

Answer:

78= -2m-6+m

78= -m-6

78+6= -m

84= -m

m= -84 Answer( C)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

distribute the parenthesis and simplify

78 = - 2m - 6 + m

78 = - m - 6 ( add 6 to both sides )

84 = - m ( multiply both sides by - 1 )

- 84 = m ⇒ m = - 84 → c

The Answer: V=216cm³

Answer:

The volume of a cube shaped box with edges 6 centimeters in length is 216

Step-by-step explanation:

volume is

Width • Length • Height

The cube's width is 6 centimeters, it's length is 6 centimeters, and it's height is 6 centimeters.

6 • 6 • 6 = 216

They are parallel to each other.

Answer:

if the x-axis and y-axis is keeping the same numbers of its value , then it should be crossing the x then to the y axis . if the x-axis and y-axis is not kept in the same number , for instance , (-8 , 4 ) (8 , 6 ) then , It should be crossing the y- axis .

Step-by-step explanation:

Answer: 15 cups of white rice

Step-by-step explanation:

1. 5 cups of white to 2 cups of wild

2. 10 cups of white to 4 cups of wild

3. 15 cups of white to 6 cups of wild

4. 15 + 6 = 21

To determine the amount of white rice in a 21-cup rice mixture with a ratio of five parts white rice to two parts wild rice, we find out that one part is equivalent to 3 cups (since 21 divided by 7 is 3). Multiplying 3 cups by 5 parts of white rice gives us 15 cups of white rice.

Ms. Salazar's rice mixture consists of five parts of white rice to two parts of wild rice. To find out how many cups of white rice she will use for a 21-cup mixture, first, we need to determine the total number of parts in the mixture. Five parts white rice plus two parts wild rice equals seven parts total. Since Ms. Salazar is making 21 cups of the mixture, we will divide 21 cups by the total number of parts, which is 7, to find out the measurement of one part. After this, we multiply the measurement of one part by the number of parts of white rice, which is five.

21 cups / 7 parts = 3 cups per part
3 cups per part * 5 parts white rice = 15 cups of white rice.

So, Ms. Salazar will use 15 cups of white rice in her 21-cup mixture.

The correct substitution of the values a, b, and c from the given equation into the quadratic formula is a = 1, b = -1, and c = -2, resulting in the formula x = [1 ± √(1 - 4(1)(-2))] / 2.

For the equation –2 = –x + x² – 4, we need to rewrite it in the standard quadratic equation form ax² + bx + c = 0.

First, rearrange the terms to get x² – x – 4 – (–2) = 0, which simplifies to x² – x – 2 = 0. Here, a = 1, b = -1, and c = -2.

Using the quadratic formula, x = [-b ± √(b2 - 4ac)] / 2a, we substitute a, b, and c:

Answer:

-3

Step-by-step explanation:

-3-16=-19

-19+16=-3

Answer:

-3

Step-by-step explanation:

Answer:

I believe it is 2 / h = the amount she blew in 1 minute. Hope this helps

Answer:

h / 120

Step-by-step explanation:

2 hours equals 120 minutes.

So h bubbles in 120 minutes is h/120 per minute.

Verification: suppose she blew 240 bubbles in two hours; this would be 240/120 = 2 per minute. That makes 120 per hour and, as expected, 240 in two hours.

Answer:

503.7 is the best estimate when rounding each number to the nearest tenth.

Step-by-step explanation:

Round 552.17 and 48.35 to the nearest tenth. That gives us 552.1 and 48.4 (because 5 makes the number round up). Subtract that, and it gives us 503.7.

Final answer:

The question as posed does not provide a complete equation to solve for x. One would need to either expand the expression using distributive property or solve for x if it were part of an equation set to zero. Additional information is required to provide a definitive value for x.

Explanation:

The question appears to ask for the value of x when multiplied by the expression (5x)(3x + 28), however, it is incomplete as there is no equation to solve (i.e., no equals sign followed by a number). If you are meant to expand the expression, you would apply the distributive property to multiply 5x by both terms inside the parentheses, giving 15x^2 + 140x.

If the intention was to solve for x given an equation like (5x)(3x + 28) = 0, then you would set each factor to zero: 5x = 0 and 3x + 28 = 0. Solving these would give you x = 0 and x = -28/3 as the solutions.

Without a complete equation, we cannot definitively solve for the value of x. If additional information is provided or if you have a specific equation involving (5x)(3x + 28), please provide that for further assistance.