Jonathan's mom is buying him a new PS5 for his birthday. The expression 0.07p represents the sales tax on the system price, p. Write an expression in terms of p to represent the total amount that Jonathan's mom spends on the system, including tax.

Answer:

x is less than 46

x<46°

Step-by-step explanation:

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

Answer: 80 g

Step-by-step explanation:

Given

The frosting is made of cream cheese and Powdered sugar in the ratio of 3:2.

If 120 g of cheese is used

Assume the quantity of powdered sugar is x

So, we can write the ratio as

[tex]\Rightarrow \dfrac{3}{2}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{2}{3}\times 120\\\\\Rightarrow x=\dfrac{2}{3}\times 3\times 40\\\\\Rightarrow x=80\ g[/tex]

So, 80 g of powdered sugar is used.

Answer: 80grams

Step-by-step explanation: pretty simple 120/3=40. 40x2=80 grams. Sorry for explanation not being really clear.

Answer:

Type: Quartic

Fourth-degree polynomials are also known as quartic polynomials.

Constant Term: [tex]\frac{1}{9}[/tex]

Number Of Terms: 4

Leading Term: [tex]-x^{4}[/tex]

Leading Coefficient: -1

Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.

How to determine this

Mode is the value that has the highest frequency in a given data set.

So,

8.75 the highest frequency in the data set

Mode = 8.75

Median is the middle of a sorted list of numbers when arranged in ascending order.

So,

4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order

Median = 7

Mean is the average or the most common value in a given set of values.

Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9

Mean = 61.75/9

Mean = 6.8611

Mean = 6.86 to 2 decimal place

Range is the difference between the highest value and lowest values.

Range = Maximum value - Minimum value

Range = 8.75 - 4.25

Range = 4.5

Read more about Central Tendency

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Answer:

funding a stuggling

Step-by-step explanation:

Answer:

0.523

Step-by-step explanation:

Let :

New car = N

Sunroof = S

P(N) = 0.86

P(N n S) = 0.45

Recall :

P(A|B) = p(AnB) / p(B)

Therefore ;

P(S|N) = P(SnN) / p(N)

P(S|N) = 0.45 / 0.86

P(S|N) = 0.523

Answer:

numbers are fun

Step-by-step explanation: teacher

Answer:

y= 1,300

c= 326.67

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Have a Nice Day

Answer:

it's D.

Step-by-step explanation:

Answer:

57/100

Step-by-step explanation:

look it up

Answer:

Step-by-step explanation:

5^4 = 625. I hope your calculator will do this.

625 / 5 = 125

There is a more general way to do this which will be in harmony with the rest of the question.

5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125

b^4 / b2 = b^(4 - 2) = b^2

a remains as it is at a^3

So the answer is 125 a^3 b^2

Answer:they are solved in a different manner

Step-by-step explanation:

Step-by-step explanation:

slope:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.

common ratio:

The constant factor between consecutive terms of a geometric sequence is called the common ratio.

Example: To find the common ratio , find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.

Answer: 28/42 as a fraction simplified is 2/3

Hope this helped

Answer:

ther overall average would be 36

Step-by-step explanation:

Answer:

K

Step-by-step explanation:

I THINK IT'S SHAPE IS SQUARE. IT HAS FOUR SIDES.

I THINK THE NAME IS TRUCK DIRVER DRUNKED LOL

TE-PAHADI GAMING

Answer:

Step-by-step explanation:

A

Given:

In triangle ABC, right angle at angle C.

[tex]a = 33[/tex] meters

[tex]m\angle A=29^\circ[/tex]

To find:

The measure of side c.

Solution:

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

It is also written as:

[tex]\sin \theta =\dfrac{Opposite}{Hypotenuse}[/tex]

In triangle ABC, angle C is a right angle. It means the side c is the hypotenuse.

In triangle ABC,

[tex]\sin A=\dfrac{a}{c}[/tex]

[tex]\sin 29^\circ=\dfrac{33}{c}[/tex]

[tex]c=\dfrac{33}{\sin 29^\circ}[/tex]

On further simplification, we get

[tex]c=\dfrac{33}{0.4848}[/tex]

[tex]c=68.0693[/tex]

[tex]c\approx 68.07[/tex]

Therefore, the measure of side c is 68.07 meters.

Answer:

Irrational

Step-by-step explanation:

Answer: YES

Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.

Answer:

16

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x = 5[/tex] ---- 5-hour shift

Required

The expected earnings

The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.

Take for instance, the equation is:

[tex]y = 10x + 2[/tex]

The expected earnings will be:

[tex]y = 10*5 + 2[/tex]

[tex]y = 50 + 2[/tex]

[tex]y = 52[/tex]

Expected Earnings = $52

Answer:

X=7 Y=5

Step-by-step explanation:

Answer:

33=k-15

Step-by-step explanation:

I hope this helps:)

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

Answer:

$5 ( sorry if it is incorrect)

Step-by-step explanation:

Answer:cost of earring=$160

cost of dress=  $960

cost of coat =$2,080

Step-by-step explanation:

Let cost of earring be represented as x

so that the cost of dress =6x

And the cost of coat =13x

Since the  three items cost a total of $3200, we can develop an equation which can be represented as

cost of earring+cost of dress +cost of coat =3200

x +6x+13x=3200

20x =3200

x=3200/20=160

THerefore cost of earring=$160

cost of dress=  6x =$160 x 6=$960

cost of coat = 13x = $160 x 13=$2,080

Answer:

Step-by-step explanation:

V=H x W x  L  so 11.25= H (1.5) (2);  3H=11.25 so the height of one box is 3.75’

To find the volume of 5 stacked boxes multiply the volume of one box by 5.

5(3.75 x 1.5 x 2) which is 20.25 cubic feet.

Answer:

37 degrees

Step-by-step explanation:

1. m∠CBA = 71+45 = 116 degrees

2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.

3. m∠CBA + m∠CDA = 2*116 = 232.

4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.

5. m∠BAD = m∠BCD = 128/2 = 64 degrees

6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees