The original price, p, of a pair of shoes was discounted by 20% and a sales tax of 8% was applied to the sales price. Which expression is equivalent to the new price?

Answer: 145 is a rational number because it can be expressed as the quotient of two integers: 145 ÷ 1.

Step-by-step explanation:

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

9a-2=7

Step-by-step explanation:

4a+ 5a-2=5+3-1

To simplify each side, combine like terms.

4a+5a = 9a

5+3-1 = 7

The equation becomes:

9a-2=7

Answer: 200

Step-by-step explanation:

The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.

Quadratic equation:

In math, quadratic equation is the algebraic equation of the second degree in x.

The general form of quadratic equation is

ax² + bx + c = 0,

where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).

Given,

Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.

As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,

Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,

=> y = (x-4)² – 1,

=> y = -(x-4)² + 1,

=> y = -3(x-4)² + 3.

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Answer:

384

Step-by-step explanation:

convert tablespoons to teaspoons

32 tbsp is 96 teaspoons

96/.25=384

The total number of servings is 128.

Given ;

We have 32 Tbsb of peppercorns .

You need to make 0.25 teaspoons of cajun seasaning

Then ,

No. of Serving can you  make is = \(\frac{32}{0.25}\)

                                         =  128  

The total number of servings make is 128 .

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Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the  anniversary party for their parents.

The number if guest will be 50 guests

Given data

quoted price = $96 per person

Let the total bill be x

one-fourth of the total bill = 1/4*x

advance payment is $1200 = 1/4x------------1

Let us find the total bill which is x

$1200 = 1/4x

cross multiply

1200*4 = x

x = 4800

if the budget per person is $96

Hence the total expected guest will be = 4800/96

50 guests

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Answer:

Left:

10$

Right:

165$

Step-by-step explanation:

The cumulative balance is how much there is total between the months. If they make 10$ profit in July, that carries over into the cumulative balance in August. So on and so forth.

The quadratic equation in the given graph can be written as:

y = -3*(x + 2)^2 + 4

We can see a quadratic equation that opens downwards and we can see that the vertex is at (-2, 4), then if the leading coefficient is a, we can write this as:

y = a*(x + 2)^2 + 4

We can also see that the parabola passes through (0, -8) replacing these values we will get:

-8= a*(0 + 2)^2 + 4

-8 - 4 = a*4

-12/4 = a

-3 = a

Then the quadratic equation is

y = -3*(x + 2)^2 + 4

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Answer:

x=5

Step-by-step explanation:

2x + 7 = 5x - 8 (x - 4)

Distribute

2x+7 = 5x - 8x +32

Combine like terms

2x+7 = -3x+32

Add 3x to each side

2x+7+3x = -3x+32+3x

5x+7 = 32

Subtract 7 from each side

5x+7-7 = 32-7

5x = 25

Divide by 5

5x/5 = 25/5

x=5

Answer:

B is the answer

Cost of each egg= 1.80/12=$0.15

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

12 egg=$1.80 ,1 egg= $1.80÷12 =$0.15

Answer:

The answer is -60 (I believe)

Step-by-step explanation:

3(-10)-5(6)

-30-30 = -30+-30

-30+-30= -60

The answer is -60

Step-by-step explanation:

If y = 10 and b = 6 Then

3(-y) - 5b

= 3 *( - 10 ) - 5 * 6

= - 30 - 30

= - 60

Hope it will help :)❤

Answer:

\(10^{3}\)

Step-by-step explanation

3 x 5 x 2 = 30 x 1/3 = \(10^{3}\)

I think it makes a square cuz it do be looking like a square

Answer:

cuboid.

................

Answer:

105/136 ≈ 0.772

Step-by-step explanation:

There are 3 socks and 2 colors, so they are either all the same color or 2 will be different colors.

P(different colors)

= 1 − P(same color)

= 1 − ₁₀C₃/₁₇C₃ − ₇C₃/₁₇C₃

= 1 − 120/680 − 35/680

= 1 − 155/680

= 1 − 31/136

= 105/136

≈ 0.772

Answer:

.5

Step-by-step explanation:

brainlies please

Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

we know that : ax² + bx + c = 0

then,

a = −1

b = −22

c = −121

putting the values in the following equation:

x=−b±√b²−4ac ⁄ 2a

=−(−22)±√(−22)²−4⌈(−1)(−121)⌉  ⁄  2(−1)

=22±√484−484  ⁄ −2

=22±√0  ⁄ −2

=22 ⁄ −2

=11 ⁄ −1

=11

Hence the answer for this equation will be 11.

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The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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Answer:

A. B. D. NOT C

Step-by-step explanation:

i don't know if you wrote anything wrong but this is correct if you are correct

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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We will investigate the application of mixed fractions with multiplication operator.

Terrell's snack shack consumes certain number of ketchup bottles:

The shack also consumes mustard. However, the number of bottles of mustard are expressed as fraction of the number of ketchup bottles consumed as follows:

We can express the number of mustard bottles consumed as follows:

We will convert the mixed fraction in the numerator as improper fraction as follows:

Next convert the division operator into a multiplication operator by reciprocating the denominator as follows:

Now completely express the number or mustard bottles:

The selling price of a used book at the store where the owner buys a used book for $1.50 and resells the used book at a price of 400% the price at which he buys the used book is $6.00

The selling price of an item is the price which is displayed on the item on the shelves of a store. The selling price is often different from the price at which the item is bought, or produced, which is often lesser than the price at which the item is sold.

The amount at which the owner buys each used books = $1.50

The amount at which the owner of the used book store sells the books = 400% of the amount he paid for the books

400% of an amount x is equivalent four times the amount. (4 × x)

The price at which the owner sells a used book at his store, P, is therefore;

P = 400% × $1.50 = 400/100 × $1.50 = $6.00

The price of a used book at the store is $6.0

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Answer:

  8) a. Use center G and the same radius

  9) b. WX ≅ JK

Step-by-step explanation:

8) You want to know the next step in constructing a perpendicular bisector.

9) You want to know how WX relates to JK.

A perpendicular bisector of GH is the set of points equidistant from G and H. The arc shown is a set of points at some distance from H. We want to find two points on that arc that are the same distance from G, so the next step is ...

  a) Using G as a center, draw an arc with the same radius as the first arc

All of the points on the arc are the same distance from W as J is from K. Point X is a point on the arc, so WX will have the same length as JK.

  b) WX is congruent to JK

Answer:

D

Step-by-step explanation:

It shows 2x + 1 on the top and x + 2 on the left

Answer:

20%

Step-by-step explanation:

100/20 (the number of questions) = 5 (how much each question is worth)

16(the number of questions she got correct) times 5 is 80

She got 80 percent correct

That means that she missed 20 percent

\(8.83 \times 10^{-3\)  is the correct Expression in scientific notation. Thus, 2nd option is correct.

When a number is tοο big οr tοο small tο be cοnveniently written in decimal fοrm, οr if dοing sο wοuld require writing οut an unusually lοng string οf digits, the number is expressed in scientific nοtatiοn. It can alsο be knοwn as standard fοrm in the UK, scientific fοrm, οr standard index fοrm.

Engineers, scientists, and mathematicians frequently use this base ten nοtatiοn because it makes sοme arithmetic οperatiοns easier. This display mοde is frequently referred tο as "SCI" οn scientific calculatοrs.

First, let's add the values inside the parentheses:

\((8.65\times 10^{-3}) + (2.7 \times 10^{-4}) - (9 \times 10^{-5}) \\\\= 8.65 \times 10^{-3} + 2.7 \times10^{-4} - 9 \times 10^{-5\)

Now, to add these values, we need to make sure that they have the same exponent. We can do this by expressing

\(2.7 \times 10^{-4\)  and  \(9 \times 10^{-5\) in terms of \(10^{-3\)

\(2.7 \times 10^{-4} = 0.27 \times 10^{-3\)

\(9 \times 10^{-5} = 0.09 \times 10^{-3\)

Now we can add the values:

\(8.65 \times 10^{-3} + 0.27 \times 10{^-3} - 0.09 \times 10{^-3} \\ \\= 8.83 \times 10{^-3\)

Therefore, the correct option is  \(8.83 \times 10^{-3\)

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