Alexis is saving to buy a laptop that’s costs $1,100. So far she has saved $400. She makes $12 an hour babysitting. What’s the least number of hours she needs to work in order to reach her goal?

Answer:

30,000 cm^2.

Step-by-step explanation:

The area  = 3*1 = 3 square meters.

There are 100^2 = 10,000 cm^2 in a square meter

So the area in square centimeters is 3 * 10,000 = 30,000.

To round the fraction 14/27 to the nearest one-half, the answer would be 0 (choice A).

To round the fraction to the nearest one-half, we need to determine if the fraction is closer to zero, one-half, or one. Start by identifying which two one-half intervals the fraction falls between: 13/27 (closer to zero) and 15/27 (closer to one-half). As 14/27 is closer to 13/27, the answer is A. 0.

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Answer:

-12+18x

Step-by-step explanation:

-3(4-6x)=-12+18x

Answer:

C) 12(8+3)

Step-by-step explanation:

Answer:C) 12(8+3)

Step-by-step explanation: i took the test

Answer:

Assuming the group of the candidates is ordered the same way as the votes they received, Margaret O'Conner received the MOST votes, at 12,926, while Leonard Hansen received the LEAST votes, at 12,409.

Answer:3/4

Step-by-step explanation

Person A: -3 +(-1) + 0

+ =-2

And you divide by 12 and get

9/12=3/4

Answer: 3/4

Step-by-step explanation:

Answer:

The option " The sum has degree of 6 , but the difference has a degree of 7 " is correct.

Step-by-step explanation:

Given that the sum and difference of the polynomials [tex]3x^5y-2x^3y^4-7xy^3[/tex] and [tex]-8x^5y+2x^3y^4+xy^3[/tex]

[tex]3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)[/tex]

[tex]=3x^5y-2x^3y^4-7xy^3-8x^5y+2x^3y^4+xy^3[/tex]

[tex]=-5x^5y+0-6xy^3[/tex]

[tex]=-5x^5y-6xy^3[/tex]

Therefore [tex]3x^5y-2x^3y^4-7xy^3+(-8x^5y+2x^3y^4+xy^3)=-5x^5y-6xy^3[/tex]

In the simplified sum of the polynomials [tex]-5x^5y-6xy^3[/tex]  we have the degree is 6

[tex]3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)[/tex]

[tex]=3x^5y-2x^3y^4-7xy^3+8x^5y-2x^3y^4-xy^3[/tex]

[tex]=11x^5y-4x^3y^4-8xy^3[/tex]

Therefore [tex]3x^5y-2x^3y^4-7xy^3-(-8x^5y+2x^3y^4+xy^3)=11x^5y-4x^3y^4-8xy^3[/tex]

In the simplified difference of polynomials [tex]11x^5y-4x^3y^4-8xy^3[/tex] we have the degree is 7

Therefore the option " The sum has degree of 6 , but the difference has a degree of 7 " is correct

Answer:

The sum has a degree of 6, but the difference has a degree of 7.

Step-by-step explanation:

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I'm not an expert at this but the answer should be 13.9 or 14

Final answer:

The length of the arc made by an 80° central angle in a circle with a 10 ft. radius is approximately 13.96 ft.

Explanation:

In order to find the length of an arc made by an 80° central angle in a circle with a 10 ft. radius, we need to use the formula for the circumference of a circle. The formula for the circumference is C = 2πr, where C is the circumference and r is the radius. In this case, the angle is 80°, so we need to find the fraction of a full circle that the angle represents. Since a full circle is 360°, the fraction is 80/360 = 2/9. Therefore, the length of the arc is 2/9 times the circumference of the circle with a 10 ft. radius.

To find the circumference of a circle with radius 10 ft., we can use the formula C = 2πr. Plugging in the value of the radius, we get C = 2π(10) = 20π ft. Since the length of the arc is 2/9 times the circumference, the length of the arc is (2/9)(20π) ft. Simplifying, we get (40/9)π ft. This is approximately 13.96 ft. Therefore, the length of the arc made by an 80° central angle in a circle with a 10 ft. radius is approximately 13.96 ft.

Answer:

y = 9[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex]

Multiply both sides by y

y × sin45° = 9, that is

y × [tex]\frac{1}{\sqrt{2} }[/tex] = 9

Multiply both sides by [tex]\sqrt{2}[/tex]

y = 9[tex]\sqrt{2}[/tex]

Answer: ?=9

                √2

Step-by-step explanation:

x=9 =a side of squre

y=diagonal

use equation :

y=a√2

y=9√2

y=12.69

Answer:

The number is 8.

Step-by-step explanation:

Write an equation then solve by isolating the variable.

let x be the number

4x + 15 = 47  Subtract 15 from both sides

4x = 47 - 15

4x = 32     Divide both sides by 4

x = 32/4

x = 8

Therefore the number is 8.

Answer:

8

Step-by-step explanation:

Answer:

D) 7 divided by 3

Step-by-step explanation:

Answer:

7 divided 3

Step-by-step explanation:i got it correct

Answer:

120 mg

Step-by-step explanation:

750 ml       300mg

300 ml         x mg

750 / 300 = 300 / x

x = (300 x 300) / 750 = 120 mg

Answer:

1,500

Step-by-step explanation:

75•20

Answer:1500

Step-by-step explanation: 75 times 20 = 1500

Answer:

Andrew is correct because Jolianne worked half as many hours as he did and he did not work twice as many hours as she did

Step-by-step explanation:

Let

x ----> number of hours worked by Jolianne

t ----> number of hours worked by Andrew

we know that

The number of hours worked by Jolianne multiplied by $10 per hour plus $27 saved must be equal to the number of hours worked by Andrew multiplied by $8

The linear equation that represent this situation is

[tex]10x+27=8t[/tex] ----> equation A

[tex]x=\frac{t}{2}[/tex] -----> equation B

substitute equation B in equation A

[tex]10(\frac{t}{2})+27=8t[/tex]

so

Andrew's table and equation is correct

Jolianne's table and equation are not correct, because Andrew did not work twice as many hours as she did

Answer:

the answer is B :)

Step-by-step explanation:

The four consecutive even integers are 20, 22, 24, 26

Solution:

Let the four consecutive even integers are a , a + 2, a + 4, a + 6

Let "a" be the smallest integer and "a + 6" be the largest integer

To find: the four consecutive even integers

Given that the greatest of four consecutive even integers is 14 less than twice the smallest integer

largest integer = twice the smallest integer - 14

a + 6 = 2(a) - 14

a + 6 = 2a - 14

a - 2a = -14 - 6

-a = -20

a = 20

Thus the four consecutive even integers are:

a = 20

a + 2 = 20 + 2 = 22

a + 4 = 20 + 4 = 24

a + 6 = 20 + 6 = 26

Thus the four consecutive even integers are 20, 22, 24, 26

Answer:

For question 9: Angle 1= 20, angle 2= 70, angle 3= 70, angle 4= 20, angle 5= 20, angle 6= 70, and angle 7= 70.

Step-by-step explanation:

Answer:8

Step-by-step explanation:They said f(x)=x2–4 and they said find the value of f(x) when x=6

When x=6 you equate the value of x into the question

F(6)=6*2–4=8

Therefore the value of f(x) is 8

Answer:

if fg(x)=6x+q

then f(gx) =6x+q

3(px+4)+p =6x+q

3px+12+p = 6x+q

3px+p = 6x+q-12

make p the subject

p( 3x+1) = 6x+q-12

p= (6x + q -12 )/ 3x +1

Answer:

p = 2 and q = 14

Step-by-step explanation:

f(g(x)) = 3(px + 4) + p

f(g(x)) = 3px + 12 + p

6x + q = 3px + 12 + p

The trick here is to equate the coefficients.

6 = 3p and q = 12 + p

p = 2 and q = 14

Answer:

4x-19/3

Step-by-step explanation:

1/2(8x+4)+1/3(9-34)

8/2x+4/2+9/3-34/3

4x+2+3-34/3

4x+5-34/3

4x-19/3

Answer:

3x+5

Step-by-step explanation:

The garden view hotel is 235 feet tall

Step-by-step explanation:

The given is:

We need to find the height of the garden view hotel

Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet

∵ The height of the garden view hotel = x feet

∵ The height of the plaza hotel = y feet

∵ The height of the garden view hotel is 17 less than twice the

    height of the plaza hotel

- That means x is less than 2 × y by 17, equate x by the difference

   of 2 × y and 17

∴ x = 2y - 17 ⇒ (1)

∵ Their combined height = 361 feet

∴ x + y = 361

- Find y in terms of x by subtraction x from both sides

∴ y = 361 - x ⇒ (2)

Substitute y in equation (1) by equation (2)

∵ x = 2(361 - x) - 17

- Simplify the right hand side

∴ x = 722 - 2x - 17

- Add like terms

∴ x = 705 - 2x

- Add 2x to both sides

∴ 3x = 705

- Divide both sides by 3

∴ x = 235

The garden view hotel is 235 feet tall

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The height of the Gardenview Hotel is 235 feet, which we found by first creating a system of equations using the information given and then solving by substitution.

To find the height of the Gardenview Hotel, let's create a system of equations based on the information given. Let G be the height of the Gardenview Hotel and P be the height of the Plaza Hotel. We are told that the Gardenview Hotel is seventeen less than twice the height of the Plaza Hotel, which we can express as G = 2P - 17. Additionally, we know their combined height is 361 feet, so G + P = 361.

Now we can solve the system of equations step by step:

Substitute the expression for G from the first equation into the second equation: (2P - 17) + P = 361.

Combine like terms: 3P - 17 = 361.

Add 17 to both sides of the equation: 3P = 378.

Divide both sides of the equation by 3 to find the height of the Plaza Hotel: P = 126.

Now use the value of P to solve for G using the first equation: G = 2(126) - 17.

Simplify to find the height of the Gardenview Hotel: G = 252 - 17.

Thus, the height of the Gardenview Hotel is 235 feet.

Find the ratio of the similar known sides:

1.34/2 = 0.67

The smaller triangle is 0.67 the size of the larger one.

Multiply the similar sides by the ratio:

DE = 4 x 0.67 = 2.68

FE = 3 x 0.67 = 2.01

Answer:

Find the ratio of the similar known sides:

1.34/2 = 0.67

The smaller triangle is 0.67 the size of the larger one.

Multiply the similar sides by the ratio:

DE = 4 x 0.67 = 2.68

FE = 3 x 0.67 = 2.01

Step-by-step explanation:

Answer:

The required probability is  given by, 0.9919.

Step-by-step explanation:

Let, X be the random variable denoting the no. of pages among those 4 pages which Julia writes where she makes no spelling mistake.

clearly,

X [tex]\sim[/tex] Binomial (4, 0.7)

So,      P(X = x) = [tex]^4C_{x} \times (0.7)^{x} \times (0.3)^{(4 - x)}[/tex]

                            [when  x = 0, 1, 2, 3, 4]

                         = 0 otherwise

According to the question, we are to find out  P(X ≥ 1) .

Now, P(X ≥ 1)

     = 1 - P(X = 0)

     = [tex] 1 - (^4C_{0} \times (0.7)^{0} \times (0.3)^{4})[/tex]

     = [tex] 1 - 0.0081[/tex]

     = 0.9919

So, the required probability is  given by, 0.9919

The probability that Julia will have no spelling mistakes on at least one of the pages is approximately 99.19%.

To determine the probability that Julia will have no spelling mistakes on at least one of the four pages she writes, we can first find the probability that she will make at least one spelling mistake on all four pages and then subtract this from 1.

The probability that there will be a spelling mistake on a page:

= 1 - 0.7 = 0.3.

Since the probability of a spelling mistake on each page is independent, we can multiply the probabilities for the four pages together.

The probability of at least one mistake on all four pages:

= 0.3 x 0.3 x 0.3 x 0.3 = 0.3⁴= 0.0081.

The probability that there will be no spelling mistakes on at least one page

= 1 - 0.0081 = 0.9919 or about 99.19%.

So, the probability is 99.19%.

Answer:

Step-by-step explanation:

It is given that The chance, that a student will pass the statistic course is [tex]\frac{70}{100}[/tex]

Hence, The chance that a student will fail in the statistic course is [tex]\frac{100 - 30}{100} = \frac{30}{100}[/tex]

Any 2 students from the total of 5 students can be choosen in [tex]^{5}C_2 = \frac{5!}{3! \times2!} = 10[/tex] ways.

Hence, the probability will be [tex]10\times [\frac{70}{100}] ^{2} \times[\frac{30}{100} ]^{3} = \frac{49\times27}{10000} = \frac{1323}{10000}[/tex]

Final answer:

The probability that exactly two students will pass the statistics course is approximately 30.87%.

Explanation:

To find the probability that exactly two students will pass the statistics course, we can use the binomial probability formula. The formula is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

In this case, n = 5 (number of students), k = 2 (number of students passing), and p = 0.7 (probability of passing).

Plugging in these values, we get:

P(X = 2) = C(5, 2) * 0.7^2 * (1 - 0.7)^(5 - 2)

Calculating, we find that P(X = 2) ≈ 0.3087, or approximately 30.87%.

Answer:

The total pieces of cake are 24

Step-by-step explanation:

Linear equations

It's a relation between one or more variables and or numbers, connected with the equal sign. An example is 4x-5=7, or 2(x+y)=7-(x-y)

This problem can be easily solved without the use of equations, but we are required to.

We know Mindy and Troy combined ate 9 pieces of cake, we also know that Mindy ate 3 pieces of cake. It leaves 6 pieces to Troy. Since Troy ate 1/4 of the whole cake, then

[tex]\displaystyle \frac{1}{4}X=6[/tex]

Where X is the number of pieces of cake

Solving for X

[tex]X=(4)(6)=24\ pieces[/tex]

To calculate the change in position after 30 seconds, multiply the rate of change per 10 seconds, which is -1 3/10 feet, by the number of 10-second intervals in 30 seconds, resulting in a total change of -3 9/10 feet or -3.9 feet.

If your team changes its position by -1 3/10 feet every 10 seconds in a tug of war game, we need to find out the change in position after 30 seconds.

Since the change in position is consistent over time, we can calculate the total change by multiplying the rate of change per 10 seconds by the number of 10-second intervals in 30 seconds.

The number of 10-second intervals in 30 seconds is:

30 seconds / 10 seconds per interval = 3 intervals.

The total change in position is then:

-1 3/10 feet/change × 3 changes = (-1 × 3)+(3/10 × 3)

= -3 9/10 feet or -3.9 feet.

Your team's change in position after 30 seconds is -3 9/10 feet or -3.9 feet.

Answer: the person on the left

Step-by-step explanation:

by taking 20% off of the total cost first they are getting the better deal.

The customer gets a better deal from the cashier on the left. Explanation on determining the better deal between two cashiers based on how they apply discounts.

To determine who is getting the better deal, let's compare the total bill after discounts for both cashiers:

Cashier on the left: 20% off, then subtract $10

Cashier on the right: Subtract $10 first, then 20% off

Example Calculation:

If the total bill is $100:
Left cashier: $100 - 20%($100) = $80, then $80 - $10 = $70
Right cashier: $100 - $10 = $90, then 20%($90) = $18, so $90 - $18 = $72

In this scenario, the customer gets a better deal from the cashier on the left.

Answer:

1. Triangle or trapezoid.

2. A line

3. Circular

4. Triangular.

Step-by-step explanation:

1. The cross-section of a cone that is perpendicular to the base either of a shape of a triangle or a trapezoidal shape.

If we make the cross-section along the diameter of the base circle then the cross-section will be a triangle and otherwise, it will be of trapezoidal shape.

2. The cross-section of a rectangle that is perpendicular to the base is line only because a rectangle is a two-dimensional shape and if we cut it perpendicularly to the base it will give a line.

3. The cross-section of a cylinder that is parallel to the base is a circle only.

Because the shape of a cylinder is constantly circular along the vertical axis.

4. The cross-section of a triangular prism that is parallel to the base is a triangle only.

Because the shape of a triangular prism is constantly triangular along the vertical axis. (Answer)

Answer:

-14 - 30 i

Step-by-step explanation:

We recall that when combining complex numbers, we need to combine the real parts among themselves to get the new real part, and the imaginary parts among themselves to get the imaginary part of the new complex that results from the operation.

In our case the firs complex number is "-8" which consists of strictly real part (with zero imaginary part). The second complex number is (6+30 i) which has real part = 6 and imaginary part = 30 i.

now we operate separately on the real parts and on the imaginary parts performing the requested subtraction:

Real part:  -8 - 6 = -14

Imaginary part: 0 i - 30 i = -30 i

Therefore the final complex number that results from this subtraction is: "-14 - 30 i"