Jenna bought a coat on sale for $120, which was 2/3 of the original price. What was the original price of the coat?

Step-by-step explanation:

the product of a number and 5

n - number

the product - it's multiplication

the difference of a number and 7

n - number

the difference - it's subtraction

Answer:

-12x+y+3x²

Step-by-step explanation:

2x-6y+3x²+7y-14x

2x-14x+3x²-6y+7y

-12x+3x²+y

Answer:

v = 22.59

Step-by-step explanation:

all you need is contained in this sheet

Answer:

Step-by-step explanation:

Question:

Assume that any variable exponents represent whole numbers. Factor the greatest common factor from the polynomial.

[tex]9x^4 -6x^2[/tex]

Answer:

[tex]3x^2(3x^2 -2)[/tex]

Step-by-step explanation:

Given

[tex]9x^4 -6x^2[/tex]

Required

Factorize

[tex]9x^4 -6x^2[/tex]

Express 9 as 3 * 3 and 6 as 3 * 2

[tex]3 * 3x^4 -3 * 2x^2[/tex]

Factorize 3 from both terms

[tex]3(3x^4 -2x^2)[/tex]

Express x^4 as x^2 * x^2

[tex]3(3x^2 * x^2 -2x^2)[/tex]

Factorize x^2 from both terms

[tex]3x^2(3x^2 -2)[/tex]

Hence, the factors of  [tex]9x^4 -6x^2[/tex] are

[tex]3x^2[/tex]  and  [tex]3x^2 - 2[/tex]

Answer:

Left 1

Step-by-step explanation:

Its easy

Answer:

a unit rate is a rate with one in the denominator

Complete question:

The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f

Answer:

The information of town Tola can be represented in function as 6 = f(45)

Step-by-step explanation:

Given;

population of Tola, p = 45,000

amount of garbage produced in tons per week, G = 6 tons = 6,000 kg

The function is given by;

G = f(p)

where;

G is the amount of garbage produced in tons per week

p is the population of Tola

Substitute in the given values into the function

6000 = f(45,000)

6 = f(45)

Therefore, the information of town Tola can be represented in function as 6 = f(45)

Complete question is;

Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.

Claim: μ ≥ 8300,α= 0.10

Sample statistics: ¯x = 8000, s = 440, n = 24

a. What are the null and alternative hypotheses?

b. What is the value of the standardized test statistic? (Round to 2 decimal places as needed.)

c. What is the p-value? (Round to three decimal places as needed.)

d. Decide whether to reject or fail to reject the null hypothesis.

Answer:

A) Null hypothesis:H0: μ ≥ 8300

Alternative Hypothesis:Ha:μ < 8300

B) t = -3.34

C) p-value = 0.001

D) we will reject the null hypothesis

Step-by-step explanation:

A) We are told that the claim is: μ ≥ 8300. Thus, the null hypothesis would be the claim. So;

Null hypothesis:H0: μ ≥ 8300

Also, alternative hypothesis would be;

Alternative Hypothesis:Ha:μ < 8300

B)Formula for standardized test statistic with a t-test is;

t = (¯x - μ)/√(s/n)

Plugging in the relevant values, we have;

t = (8000 - 8300)/√(440/24)

t = -3.34

C) From online p-value from t-score calculator attached using t = -3.34, n = 24, significance level = 0.01, DF = 24 - 1 = 23 and a one - tailed test, we have;

p-value = 0.001421 ≈ 0.001

D) The p-value of 0.001 is less than the significance value of 0.01,thus we will reject the null hypothesis

Answer:

AC = 6 ÷ 7

x = 2

Step-by-step explanation:

Given that

AB = 5x - 2

BC = 9x - 10

So,

AC = AB + BC

= 5x - 2 + 9x - 10

14x -12 = 0

AC = 6 ÷ 7

As B is the mid point of point A and point C, so the value of x is determined by solving the given equations mentioned in the question

5x - 2 = 9x - 10

5x - 9x = -10 +2

-4x = -8

x = 2

Hence, the value of AC and the X is 6 ÷ 7 and 2 respectively

Answer:

c = b/a

Step-by-step explanation:

b/c = a

b = ac

b/a = c

Answer:

A and C

I hope it helps ❤️

Answer: A and C

Step-by-step explanation:

Determine the answer by solving for x in each equation.

A. x + 4= 7    subtract 4 from both sides

        -4   -4

   x =  3    

B.   x/9 = 3    multiply both sides by  9  

       x=27

C. 5-x =2   subtract 5 from both sides

    -5    -5

   -1x = -3

   x= 3

D.  8x = 32   divide both sides by 8

    x = 4

E .  x -10 = 7  Add 10 to both sides

          +10  +10

x = 17

Answer:

The distance between the two given points is 15 units.

Step-by-step explanation:

For this problem, we will use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now, let's plug in our coordinates.

[tex]d=\sqrt{(9-0)^2+(12-0)^2}[/tex]

Simplify the terms in the parentheses.

[tex]d=\sqrt{(9)^2+(12)^2}[/tex]

Simplify the exponents.

[tex]d=\sqrt{81 + 144}[/tex]

Add 81 to 144.

[tex]d=\sqrt{225}[/tex]

Solve the radical.

[tex]d = 15[/tex]

The distance between the two points is 15 units.

Answer:

The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.

Step-by-step explanation:

Consider the diagram below.

The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.

It is provided that the rectangular garden is enclosed by  60 feet of fencing on three sides.

That is,

AB + CB + CD = 60 ft.

⇒ x + CB + CD = 60 ft.

Then the length, in feet, of the side of the garden that is against the wall is:

x + CB + CD = 60 ft.

⇒ CB = (60 - x - CD) ft.

Answer: 60-2x

Step-by-step explanation:

Answer:

Distance = 3√13

Step-by-step explanation:

[tex](-1 ,0)=(x_1 ,y_1)\\(8,6)=(x_2 , y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(8-(-1))^2+(6-0)^2}\\ \\d = \sqrt{(8+1)^2 +(6-0)^2}\\ \\d = \sqrt{(9)^2 +(6)^2}\\ \\d = \sqrt{81+36}\\ \\d = \sqrt{117} \\\\d= 3\sqrt{13}[/tex]

Answer:

40%

Step-by-step explanation:

First you have to determine the increase as a number:

increase = new number - original number

That means you have an increase of 210 - 150 = 60

Then you will need to divide the increase by the original number and multiply the answer by 100:

% increase = increase ÷ original number × 100

That will give you: 60 ÷ 150 × 100 = 40

Answer:

  (a) -5, 4

  (b) no solution

Step-by-step explanation:

(a) x+5 will be zero when x = -5.

  x-4 will be zero when x = 4.

The restricted values are: x = -5 and x = 4.

__

(b) We can simplify the difference of the two sides of the equation.

  [tex]\dfrac{4}{x+5}+\dfrac{5}{x-4}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{4(x-4)+5(x+5)}{(x+5)(x-4)}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{9x+9}{(x+5)(x-4)}-\dfrac{45}{(x+5)(x-4)}=0\\\\\dfrac{9(x-4)}{(x+5)(x-4)}=0\\\\\dfrac{9}{x+5}=0\qquad\text{NO SOLUTION}[/tex]

__

The graph shows there are no values of x that cause the two sides of the equation to be equal (their difference to be zero).

Answer:

4

Step-by-step explanation:

9-4=5

hold up 9 fingers and take down 5

Josie ate more and burped louder because 5/8 is greater than 6/10 and Josie ate 5/8 of the pie.

Given,

Josie ate 5/8 of a pie and Marge ate 6/10 of a pie.

We need to find who ate more and therefore burped louder.

We need to compare the given fraction and see which is greater.

We have,

Josie = 5/8 of a pie.

Marge = 6/10 of a pie.

Now,

We can compare the fraction in three ways:

Case 1. - In terms of %

5/8 x 100 = 62.5 %

6/10 x 100 = 60%

62.5 % > 60%
5/8 > 6/10

Case 2. - In terms of decimals

5/8 = 0.625

6/10 = 0.6

0.625 > 0.6

5/8 > 6/10

Case 3. -In terms of multiplying

5/8 = 6/10

5 x 10 = 6 x 8

50 = 48

50 > 48

5/8 > 6/10

5/8 is greater than 6/10 so the one who eats 5/8 of the pie ate more and burped louder.

Thus Josie ate more and burped louder.

Learn more about comparing fractions here:

https://brainly.com/question/28063004

#SPJ2

Answer:

The relation is a function.

Step-by-step explanation:

In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.

Step-by-step explanation:

open the brackets by multiplying 4 and 28 =112

18+112= 130

Answer:

Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

Answer:

C ) a= 1 and b = 2

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

It equals to

when ab = 0, in other words one of a or b or both should be zero

Looking through the answer options, only one of them:

is the counterexample of the given statement, since none of a or be equals zero.

Any number, except 0, divided by itself is always 1

x/x = 1 where x cannot be zero, but it can be any other number you want.

Answer:

When you are adding a negative number to a negative number, it becomes subtraction, where you start from a negative point on the numbers line and move left.

Step-by-step explanation:

Answer:

when you add a negative number with a other number it gives you a positive number.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parallelogram has 2 parallel pairs of sides, and the parallel lines have to be opposite therefore they have to be parallel.

Answer:

Effective output = 224

Capacity Utilization = 80%

Step-by-step explanation:

Given the maximum output = 280

The actual output = 195

The efficiency = 80%

Below is the formula to calculate the efficiency.

Efficiency in percentage  = (Effective output /  Maximum output) x 100

Insert the given values in the formula.

80 =( Effective output / 280 ) x 100

Effective output = 280 x 0.8

Effective output = 224

Now the Capacity utilization ( %) = Actual output / Maximum output x 100

Capacity utilization in percentage  = 224 / 280   x   100

Capacity Utilization = 80%

Answer:

34

Step-by-step explanation:

To do this you would just plug in the values into the variables so you get [tex]|-5^{2} +3^{2} |[/tex] and when you simplify you get |25+9| which when you add together you get |34| and the absolute value is just 34 since it is not negative.

If m = -5 and n = 3, then the value of the expression |m² + n²| will be 34.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The expression is given below.

⇒ |m² + n²|

Put m = -5 and n = 3, then the value of the expression will be

⇒ |(-5)² + 3²|

⇒ |25 + 9|

⇒ |34|

⇒ 34

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

5

Step-by-step explanation:

Hello!

We put in 2 for x and 6 for y

[tex]\frac{2(6)-2}{2}[/tex]

Now we can solve this

[tex]\frac{12 - 2}{2}[/tex]

[tex]\frac{10}{2} = 5[/tex]

The answer is 5

Hope this helps!

Answer:

El productor tiene que envasar 960 huevos.

Step-by-step explanation:

Es necesario determinar el mínimo común múltiplo de 6, 12 y 30. En primer lugar, se determina cada número como productos de números primos:

[tex]6 = 2\times 3[/tex]

[tex]12 = 2^{2}\times 3[/tex]

[tex]30 = 2\times 3\times 5[/tex]

El mínimo común múltiplo es:

[tex]M.C.M. = 2^{2}\times 3\times 5[/tex]

[tex]M.C.M. = 60[/tex]

El número total de huevos próximo a 1000 unidades es un múltiplo del mínimo común múltiplo:

[tex]n = 60\times 16[/tex]

[tex]n = 960[/tex]

El productor tiene que envasar 960 huevos.

Answer:

E(X) = 9.

Step-by-step explanation:

That is 45 * (0.2) = 9.

The required expected value is given as 9 as per the given conditions.

Given that,

To Calculate the expected value E(X) of the given random variable X. Forty-five darts are thrown at a dartboard. The probability of hitting a bull's eye is .2. Let X be the number of bull's-eyes hit.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The expected value is the scenario predicting algorithm in maths that gives the prediction a value.
So,
According to the question,
E(x) = 0.2 × 45 = 9

Thus, the required expected value is given as 9 as per the given conditions.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5