Solve for x(.07)+x=14.70

Answer:

16.5 square feet

Step-by-step explanation:

The logo consists of

The area of rectangle:

[tex]A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2[/tex]

The area of trapezoid:

[tex]A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2[/tex]

The area of triangle:

[tex]A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2[/tex]

Hence, the area of logo:

[tex]A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2[/tex]

5 pounds of peanuts should be mixed with cashews

Step-by-step explanation:

The given is:

The price of one pound of peanut is $1.5

The price of one pound of cashew is $4.5

10-pound mixture is obtained that will sell for $3.00 per pound

We need to find how many pounds of peanuts should be mixed with cashews

Assume that x represents the number of pound of peanuts, and y represents the number of pounds of the cashews

∵ x pounds of peanuts should be mixed with y pounds of cashews

∵ The mixture obtained is 10 pounds

∴ x + y = 10 ⇒ (1)

∵ The price of each pound of peanut = $1.5

∵ The price of each pound of cashew = $4.5

∴ The selling price of the mixture = 1.5x + 4.5y

∵ The selling price of one pound of mixture = $3

∵ The mixture is 10 pounds

∴ The selling price of the mixture = 3 × 10 = 30

- Equate the two expressions of the selling price of the mixture

∴ 1.5x + 4.5y = 30 ⇒ (2)

Now we have system of equations to solve it

Multiply equation (1) by -4.5 to eliminate y

∵ -4.5x - 4.5y = -45 ⇒ (3)

- Add equations (2) and (3)

∴ -3x = -15

- Divide both sides by -3

∴ x = 5

∵ x represents the number of pounds of peanuts

∴ The number of pound of peanuts is 5

5 pounds of peanuts should be mixed with cashews

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Answer:

sugar and also meat

Step-by-step explanation:

Answer: red meat you should balance your diet with chicken and red meat

Step-by-step explanation:

Explanation:

Scientific Notation is number between 1-10 multiplied by 10[tex]^{#}[/tex] (or e#) This has the 1-10 right but the other number incorrect.

The correct scientific notation is 3.4e+9.

Need to explanation why is 3.4 * 910 is not correct scientific notation.

Scientific notation means the longer value coded to short terms like 34000 to 3.4e+4.

Here 3.4*910 does not represent any thing because the correct manner for the scientific notation is ae + b. Where a = value and b =power to the 10.
so the correct scientific notation is 3.4e+9.

Thus, 3.4 * 910 is not correct scientific notation, the correct scientific notation is 3.4e+9.

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The probability of not surviving a head-on car accident is: 0.903

Step-by-step explanation:

The probabilities of occurrence and non-occurrence of an event add up to one.

If p is the probability that an even will happen and q is the probability that it will not happen

Then

[tex]p+q=1[/tex]

Here,

Probability of surviving = p = 0.097

Probability of not surviving = q = ?

[tex]0.097 + q = 1\\q = 1 - 0.097\\q = 0.903[/tex]

The probability of not surviving a head-on car accident is: 0.903

Keywords: Probability, Inverse

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Answer:

Timmy

Step-by-step explanation:

He ate 30% of it

Timmy-30%

Chris- 15%

Little Dave-12%

Answer:

timmy

Step-by-step explanation:

he ate the most because he is fat

Tax: $2

Total: $27

Step-by-step explanation:

Given,

Price of boots = $25

Tax = 8%

Amount of tax = 8% of price of boots

[tex]Amount\ of\ tax = \frac{8}{100}*25\\Amount\ of tax=\frac{200}{100}\\Amount\ of\ tax=\$2[/tex]

Total = Price of boots + Tax amount

[tex]Total = 25+2=\$27[/tex]

Tax: $2

Total: $27

Keywords: sales tax, addition

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Answer:

Yes, because x = 2 and y = 6 is a solution to the equation.

The point (2, 6) does lie on the graph of the equation y = 3x because when you substitute x = 2 and y = 6 into the equation, it holds true (6=3*2). Hence, yes, because x = 2 and y = 6 is a solution to the equation.

To determine if the point (2, 6) is on the graph of y = 3x, you would need to substitute the values of x and y into the equation and see if it holds true. In this case, if we substitute x = 2 and y = 6, we get 6 = 3*2, which simplifies to 6 = 6. This shows that the equation is true, therefore, the point (2, 6) lies on the graph of y = 3x. So the correct answer is C: Yes, because x = 2 and y = 6 is a solution to the equation.

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Answer:

8-4=2

2 x 4=8

4 x 2=8

8-2=4

Step-by-step explanation:

A fact family includes related multiplication and division facts. For the numbers 2, 4, and 8, the facts are 2 x 4 = 8, 4 x 2 = 8, 8 ÷ 4 = 2, and 8 ÷ 2 = 4. This demonstrates the relationship between multiplication and division.

Fact Family for Multiplication and Division

A fact family in mathematics is a group of related math facts involving the same numbers. For the numbers 2, 4, and 8, the fact family includes both multiplication and division facts. Here are the four members of this fact family:

2 x 4 = 8

4 x 2 = 8

8 ÷ 4 = 2

8 ÷ 2 = 4

Notice how multiplication and division are related: each multiplication fact has a corresponding division fact.

Final answer:

To find the value of k that makes (x+3) a factor of the function f(x)=3x^3-2x+k, substitute x=-3 into the equation, leading to the solution k=75.

Explanation:

The question asks for the value of k that makes (x+3) a factor of the function f(x)=3x³-2x+k. To solve this, we use the fact that if (x+3) is a factor of f(x), then f(-3)=0. Therefore, we substitute x=-3 into the equation and solve for k.

Substituting x=-3 into f(x)=3x³-2x+k gives:

f(-3) = 3(-3)³- 2(-3) + k = -81 + 6 + k

Since f(-3)=0, we have -75 + k = 0

Thus, k = 75

This computation shows that the value of k that makes (x+3) a factor of the given function is 75.

Answer:

x = 10

Step-by-step explanation:

Given isosceles triangle with legs equal to [tex]\sqrt{74}[/tex] units. The height of 7 units divides this triangle into two congruent right triangles. The height of the isosceles triangle drawn to the base is its median to, so the height divides the base into two equal segments with length of [tex]\frac{x}{2}[/tex] units.

By th Pythagorean theorem,

[tex]\left(\dfrac{x}{2}\right)^2+7^2=(\sqrt{74})^2\\ \\\dfrac{x^2}{4}=74-49\\ \\\dfrac{x^2}{4}=25\\ \\\dfrac{x}{2}=5\\ \\x=2\cdot 5\\ \\x=10\ units[/tex]

Answer:

10

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

We have to divide the new price by the original price

4500/2900 = ca. 1.5517

Take away 100% from this answer and we get 0.5517 over the original price

This is the same as 55.17% can be rounded to 55%

To find the percent increase in the boat's price, subtract the original price from the selling price, divide by the original price, then multiply by 100 and round to the nearest whole number. The calculation shows about a 55% increase from the original price of $2900 to the selling price of $4500.

To calculate the percent increase, you would subtract the original price of the boat from the selling price and then divide by the original price to get the fraction of the increase. Finally, you multiply this fraction by 100 to convert it to a percentage. Using the given numbers: The original price is $2900, and the selling price is $4500.

When you round this to the nearest whole number, you get a percent increase of 55%.

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Answer:

C) y+6=3/2(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

m=slope & (x1, y1) is a point on the line

m=(y2-y1)/(x2-x1)

m=(-3-(-6))/(4-2)

m=(-3+6)/2

m=3/2

y-(-6)=3/2(x-2)

y+6=3/2(x-2)

Option 3

The point slope form of the given points (2, -6) and (4, -3) is [tex]y+6=\frac{3}{2}(x-2)[/tex]

Given that two points are (2, -6) and (4, -3)

We have to find the point slope form

The point-slope of the line is given as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where m is the slope of the given line.

So now to write the given points in point intercept form we need to find the slope, m

The slope of line is given as:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\text { Here } x_{1}=2 ; y_{1}=-6 ; x_{2}=4 ; y_{2}=-3[/tex]

Plugging in the values, we get

[tex]m=\frac{-3-(-6)}{4-2}=\frac{3}{2}[/tex]

So, the slope of the given line is [tex]\frac{3}{2}[/tex]

Now, we need to find the point slope form. For that purpose we can use either of the points, but since in the answer options they have used the 1st point we will do so too.

Therefore, the point slope form is:

[tex]\begin{array}{l}{y-(-6)=\frac{3}{2}(x-2)} \\\\ {y+6=\frac{3}{2}(x-2)}\end{array}[/tex]

From the given options we can see that the correct answer is option 3.

Answer: m = 11

Step-by-step explanation: Isolate the variable by dividing each side by facotrs that don't contain the variable.

Hope this helps you out! ☺

Answer:

m = 11

Step-by-step explanation:

To find m, we solve this equation:

2.50+ 1.50(m-1)=17.50

We subtract 2.50 from both sides:

1.50(m-1) = 15

Next we divide by 1.5 on both sides:

m - 1 = 10

Lastly we add one to both sides:

m = 11

Answer:

z is 0.03

if you divide 0.06/2= 0.03

Step-by-step explanation:

Step-by-step explanation:

[tex]7 = \pi {r}^{2} [/tex]

Were you given an input for r?

If not then:

7/pi = about 2.23

[tex] \sqrt{2.23} = about \: 1.5[/tex]

r = about 1.5

Answer:

The answer is D

Step-by-step explanation:

∠C + ∠E = 180°(consecutive angles)

7x +11° + 7x + 1° = 180°

14x + 12° = 180°

14x = 168°

x = 12°

∠E = 7x + 1°

= 7(12°) + 1

= 85°

The measure of ∠E is 85 degrees

To calculate the measure of E, we start by calculating the value of x using:

∠C + ∠E = 180° (consecutive angles of cyclic quadrilateral)

So, we have:

7x +11° + 7x + 1° = 180°

Evaluate the like terms

14x + 12° = 180°

Subtract 12 from both sides

14x = 168°

Divide both sides by 14

x = 12°

Recall that:

∠E = 7x + 1°

Substitute 12 for x

∠E = 7(12°) + 1

Evaluate

∠E = 85°

Hence, the measure of ∠E is 85 degrees

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Answer:

The statement is false

Step-by-step explanation:

For a number to be rational it must be able to be written as a fraction.

Bart should;

Multiply 6(400), 6(10), and 6(2) ⇒ 2nd

Multiply each addend by 6 ⇒ 4th

Find the sum of (2400 + 60 + 12) ⇒ 5th

Step-by-step explanation:

Let us revise the distributive property

Bart used place value and the distributive property to rewrite the

expression 6(412)

His work is shown 6(412) = 6(400 + 10 + 2)

We need to know what Bart should do to find the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply each number in the bracket by 6 in the right hand side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should to multiply each addend by 6 and then find the sum of

  (2400 + 60 + 12)

Bart should;

Multiply 6(400), 6(10), and 6(2)

Multiply each addend by 6

Find the sum of (2400 + 60 + 12)

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Answer:

The one up is right  but  just to make it easier it is B, D, E

Step-by-step explanation:

Got it right on edge 2021

Hope it helps :)

Answer:

5

Step-by-step explanation:

0.3*10=3

10/5=2

--------------------

3+2=5

Answer:it is 10%

Step-by-step explanation:

Answer:

m(the slope) = -2

Step-by-step explanation:

First, you want to use the slope formula. This can be written as (Y[subscript2]-Y[subscript1])/(X[subscript2]-X[subscript1]). This may seem a bit confusing but I hope it will make sense to you. The subscripts basically mean which Y value or X value you are taking. In this case, you could rewrite the equation as this: (18-8)/(1-6). The 18 is the Y value of the second point, so it is Y[subscript2]. Now all you need to do is simplify the equation.

(18-8)/(1-6)

10/-5

(-1)10/5

(-1)2

-2

Answer:

9^6=531441

Step-by-step explanation:

To calculate  ,on the Scientific calculator

-First press 9 marked on the set of numbers.

--Then go to the indices expression  and press on it.

--After that press 6.

--You will get the value of   9^6=531441

Answer:

you can get 11 DVDs if they cost 18 dollars

Answer:

Step-by-step explanation:

198/18=11. You can buy 11 packs

Answer:

[tex](g-7)^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{(g-7)^{9} }{(g-7)^{3} }[/tex]

= [tex](g-7)^{(9-3)}[/tex]

= [tex](g-7)^{6}[/tex]

Answer:

(g - 7)⁶

Step-by-step explanation:

Rule:

[tex]\frac{x^{a} }{x^{b} } =x^{a - b}[/tex]

So,

(g - 7)⁹ ⁻ ³ = (g - 7)⁶

Answer:

x = 21 degrees

y = 66 degrees

Step-by-step explanation:

Supplementary angles sum 180 degrees and complementary angles sum 90 degrees.

The first two upper angles are supplementary since they complete half a turn of a circle.

The relation is

(3x+5)+(6x-14)=180.

Joining like terms

9x-9=180

Dividing by 9

x - 1= 20 =>

x = 21 degrees

The first and the last angle are the same because they are formed by two parallel lines to a common side, so

3x-5=y-8 or

y=3x+3 = 63+3 =>

y = 66 degrees

The tool was used for 28 minutes

Step-by-step explanation:

We will use simple division to calculate the number for minutes for which the tool was rented

Given

Cost per minute = $0.65

Total cost = $18.20

Let x be the number of minutes

So,

x = [tex]\frac{Total\ cost}{Cost\ per\ minute}\\= \frac{18.20}{0.65}\\=28\  minutes[/tex]

The tool was used for 28 minutes

Keywords: Division, Linear equation

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The tool was used for 28 minutes

Step-by-step explanation:

We will use simple division to calculate the number for minutes for which the tool was rented

Given

Cost per minute = $0.65

Total cost = $18.20

Let x be the number of minutes

So,

x =

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Answer: 87 children and 51 adult

Step-by-step explanation:

Let x be child admission and let y be adult admission.

We know that x+y=138 based on the fact that 138 tickets were sold.

We also know that 6.3x+9.9y=1053 based on the information.

Let y=138-x

Then, 6.3x+9.9(138-x)=1053

6.3x+1366.2-9.9x=1053

-3.6x+1366.2=1053

-3.6x=-313.2

x=87

138-87=y=51

87 children's and 51 adult tickets were sold.

That Looks about right.