9 Which expression is equivalent to 53p + (16p+7p)?
A (16p.7p) + 53p
B (53p • 16p): 7p
C (16p + 7p): 53p
D (53p + 16p) + 7p

Answers

Answer 1

The expression 53p + (16p+7p) is equivalent to expression (53p + 16p) + 7p

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 53p + (16p + 7p)

Fifty three times of p plus sixteen p plus seven p.

In the given expression p is the variable and plus is the operator.

We need to find the equivalent expression.

Equivalent expressions are expressions that work the same even though they look different.

53p + (16p + 7p)

76p

(53p + 16p) + 7p is also equal to 76p

Hence, the expression 53p + (16p+7p) is equivalent to expression (53p + 16p) + 7p

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Related Questions

A bag contains 5 green and 3 white balls (the balls are identical in all respect except colour). A ball is drawn at random from the bag without looking into the bag. What is the probability of getting a green ball? Is it more or less than getting a white ball?​

Answers

Answer:

Probability of getting a green ball is more than that of getting a white ball.

Step-by-step explanation:

There are in all (5+3= 8) outcomes of the experiment. There are 5 outcomes in favour of the event of getting a green ball as there are 5 identical green balls in the bag.

Therefore, P(a green ball) = 5/8

In the same way,P(a white ball) = 3/8

5/8 > 3/8

Thus, clearly the probability of getting a green ball is more than that of getting a white ball.

Phu takes out a $2,400 discounted loan using a simple interest rate of 8% for a period of 18 months. What is the effective interest rate, re

Answers

Answer:

9.1

Step-by-step explanation:

To calculate the total interest payable, we use the formula

I=P0rt,

and substituting our values yields

I=$2,400×0.08×1812=$288.

Therefore the total amount he receives at loan drawdown is $2,400−$288=$2,112. To calculate the effective interest rate, we use to formula

A=P0(1+ret).

In this instance we have A=$2,400,P0=$2,112 (redefined from the value above) and t=1.5. We substitute into the formula to get

$2,400=$2,112(1+1.5re).

Solve for re.

24002112=1+1.5re

24002112−1=1.5re

24002112−11.5=re

This gives re=0.0909⋯=9.0909…%,  which is 9.1%

please. Will give brainliest

Answers

I’m pretty sure it’s c sry I don’t have a pencil and paper on me so forgive me if I’m wrong

Answer:

The answer is c

scince I am not student so I don't use book n pen sorry

If v₁ = (3,7) and V₂ = (-2,4), then v₁v₂ is equal to which of the following?

A. (-6,28)
B. 34
C. 22
D. (-21,-8)

Answers

The answer is B.
Hope this helps
Answer: B, have a good day

write 1.86×10⁵ as an ordinary numbe ​

Answers

[tex]\boxed{\sf 186,000}\boxed[/tex]

Answer:

186,000

Step-by-step explanation:

1. Multiply 10 to the 5th power:

[tex]10^{5}[/tex] = 100,000

2. Multiply:

1.86 × 100,000 = 186,000

hope this helps :)

Alyssa has a points card for a movie theater. She receives 70 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 245 points for a free movie ticket. How many visits must Alyssa make to earn a free movie ticket?

Answers

let x be the amount of times she visited the movie theater

[tex]70+12.5x=245\\\\12.5x=175\\\\x=14[/tex]

Alyssa needs to make 14 visits to earn a free movie ticket.

First and fixed reward=70

This is our y intercept

Rate of pay=12.5

This is our slope.

So our equation is

p=12.5v+70

Here v is visits

245=12.5v+7012.5v=175v=14visits

what is the equation of the line that passes through the point (3,6) and has a slope of -1/3


ASAP PLS

Answers

[tex]\Large\texttt{Answer\::}[/tex]

Please consult the "Calculations" section of this ans .

[tex]\Large\texttt{Calculations\::}[/tex]

The information we're given is below :

slope : -1/3Point crossed by the line : (3, 6)

As per given information , we can do the following :

Write the line's equation in point slope form

Point - slope form looks like so :

y-y₁=m(x-x₁)

y-6=-1/3(x-3)

y-6=-1/3x+1

y=-1/3x+1+7

y=-1/3x+6

↑ [tex]\small\textsc{EQUATION OF THE LINE}[/tex]

[tex]\small\textit{hope\:helpful~}[/tex]

Hey guys may yall help please and thank you !!

Answers

Answer: 12? im pretty sure

Step-by-step explanation: 1/4 of a unit so 4 for 1 unit, 4 x 3 is 12 units for 3

If you dont know the answer or get it wrong i will report​

Answers

Step-by-step explanation:

law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

extended Pythagoras :

c² = a² + b² - 2×a×b×cos(C)

and : the sum of all angles in a triangle is always 180°.

1.

b² = 42.1² + 37² - 2×42.1×37×cos(13) =

= 105.8575002...

b = 10.28870741...

b/sin(13) = 37/sin(C)

sin(C) = 37 × sin(13)/b = 0.808963525...

C = 53.99478824...° ≈ 54°

A = 180 - 13 - 54 ≈ 113°

2.

c² = 18² + 13² - 2×18×13×cos(115) = 690.7853465...

c = 26.28279564...

c/sin(115) = 18/sin(A)

sin(A) = 18 × sin(115)/c = 0.62069273...

A = 38.36673893...°

B = 180 - 115 - A = 26.63326107...°

3.

the length of b is missing.

this cannot be solved without the missing information

Twelve subtracted from twelve times a number is -84. What is the number? A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use x as your variable. The equation is B) Solve your equation in part [A] for x. Answer: 0 =​

Answers

Answer:

x=-6

Step-by-step explanation:

Let x be the number

A) 12x-12=-84

B) 12x=-72

x=-6

A driver spent 45minutes to cover a distance of 120km. what is the speed of the driver in km per hour.

Answers

Answer:

The speed is 160 km /h

Step-by-step explanation:

A driver spent 45minutes to cover a distance of 120km

Convert minutes to hour

45 min = 45 /60 hr = 3/4 hr

Use the distance equation

d = ts

Find the speed

s = d/t

Substitute the distance and time value and find the value of speed

s = 120 / (3/4) = 120 * 4/3 = 160 km /h

I will give Brainliest, please help!! See the attached photo! ^^

You can’t use the same number twice!

Answers

Answer:

Step-by-step explanation:

1/5 = 0.2

This is what I came up with, hopefully this helps!

Zahra gave out a survey to some students in her school about their favorite color. Students could choose between purple and red. 187 of those surveyed said their favorite color was purple. 45% of the students surveyed said their favorite color was red. How many students were surveyed in total?

Answers

Answer:

340 people did the survey in total.

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they do not have predefined values.

These symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations in order to determine their values.

Given:

People who like the color purple = 187

Moreover, 45% of people prefer the color red.

Purple color enthusiasts = 100 - 45 = 55%

Let the total number of people polled be x.

So, 55% of x = 187

55/100x = 187

x= 18700/ 55

x= 340

Therefore, the answer is 340.

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A bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1 What is the Compound Probability of reaching in at random and extracting a Yellow marble followed by a Blue marble with NO REPLACEMENT?

Answers

The probability of extracting a Yellow marble followed by a Blue marble is 2/45 if the bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of marbles = 3+4+2+1 = 10

P(Yellow) = 1/10

P(Blue) = 4/9

Probability of extracting a Yellow marble followed by a Blue marble:

= (1/10)(4/9)

= 4/90

=  2/45

Thus, the probability of extracting a Yellow marble followed by a Blue marble is 2/45 if the bag of 10 Marbles has the following composition: Red – 3 Green – 4 Blue – 2 Yellow – 1

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Harry buys 3 granola bars for $5. Sidnee buys
9 granola bars for $15. What is the constant of
proportionality?

Answers

Answer:

The constant of proportionality is 5/3

Step-by-step explanation:

3 * k = 5

k = 5/3

Check

9 * k = 15

9 * 5/3 = 15

3*5 = 15

15 =15

The constant of proportionality is 5/3

The ratio for both Harry and Sidnee is the same, which is 5/3.

So, the constant of proportionality (x) is 5/3.

To find the constant of proportionality between the number of granola bars and the cost, we can use the formula for direct proportionality:

Constant of Proportionality (k) = Cost / Number of Granola Bars

For Harry:

Number of granola bars = 3

Cost = $5

Constant of Proportionality (k) for Harry = 5 / 3

For Sidnee:

Number of granola bars = 9

Cost = $15

Constant of Proportionality (k) for Sidnee = 15 / 9

Since both Harry and Sidnee's values for the constant of proportionality are the same (both simplify to 5/3), we can conclude that the constant of proportionality is 5/3, which is approximately 1.67.

This means that for every granola bar purchased, the cost increases by $5/3 or about $1.67.

So, the constant of proportionality (x) is 5/3.

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HELP ME ON THIS PLSS Kathy swims at least 6 laps everyday. Write an inequality to show how long Kathy swims each day.

Answers

Answer:

x ≥ 6.

Step-by-step explanation:

Given : Kathy swims at least 6 laps every day.

To find: Write an inequality to show how long Kathy swims each day.

Solution : We have given that Kathy swims at least 6 laps every day.

We can see from given statement Kathy can swim 6 laps or greater then 6 laps in a day.

Then we use greater than or equal to sign  ( for at least)

Since x ≥ 6.

Therefore, x ≥ 6.

Find the perimeter of a triangle that has the side lengths given below.
6 cm, 7√3 cm, √27cm
Give the answer as a radical expression in simplest form.

Answers

The perimeter of a triangle that has the side lengths is 6 + 10√3 cm

How to determine the perimeter?

The side lengths are given as:

6 cm, 7√3 cm and √27 cm

The perimeter is the sum of the side lengths.

So, we have:

P = 6 + 7√3 + √27

Express 27 as 9 * 3

P = 6 + 7√3 + √(9 * 3)

Take the square root of 9

P = 6 + 7√3 + 3√3

Evaluate the sum

P = 6 + 10√3

Hence, the perimeter of a triangle that has the side lengths is 6 + 10√3 cm

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how many solutions does the following equation have? 3x+6 =3(x+2)

Answers

Answer:

Infinite solutions

Step-by-step explanation:

3x+6 = 3(x+2)

3x+6 = 3x+6

6 = 6

It has infinite solutions.

which expression is equivalent (7x3)2(x8)1/2

Answers

Answer:

B. 49x^10

Step-by-step explanation:

(7x^3)^2 * (x^8)^1/2

multiply the exponents

49x^6 * x^4

add the exponents

49x^10

the correct answer to the equation is b.

Find the sum of the first n terms using the formula a(1-r^n)/1-r $50 + $50(1.1) + 50(1.1)^2 + … (6 terms)

Answers

The sum of n terms is 500(1.1ⁿ - 1) and the sum of the 6th terms is 385.78

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have sequence:

50 + $50(1.1) + 50(1.1)^2 + …

The common ration r = 1.1

First term = 50

The sum of n terms:

[tex]\rm Sum = \dfrac{50(1.1^n-1)}{1.1-1}\\\\\rm Sum = \dfrac{50(1.1^n-1)}{0.1}\\\\\\\rm Sum = 500(1.1^n-1)[/tex]

If n = 6 terms

Sum = 385.78

Thus, the sum of n terms is 500(1.1ⁿ - 1) and the sum of the 6th terms is 385.78

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A certain lake is 85 feet deep. After a hurricane,
the level of the lake rose to 88 feet. Find the
percent of change in the depth of the lake.
Round to the nearest tenth of a percent.

Answers

Answer:

3%

Step-by-step explanation:

Easy!

88 - 85 which is equivalent to 3.

Make the 3 a percentage

A = 3%

For the function defined by y = StartFraction 1 Over x squared EndFraction, if x is doubled, what is the effect on y?
a.
y is quartered
c.
y stays the same
b.
y is doubled
d.
y is tripled



Please select the best answer from the choices provided

Answers

Answer:

a. y is quartered.

Step-by-step explanation:

y=1/x^2

when x is doubled, the equation becomes:

y=1/(2x)^2=1/(4x^2)

Answer:

If we double x, then the new value of x becomes 2x. So we can find the effect on y by substituting 2x for x in the given function.

y = 1/x^2

When x is replaced by 2x, we get:

y' = 1/(2x)^2

= 1/4x^2

Therefore, y' = (1/4)y

So, if x is doubled, then y is quartered (option a is the correct answer)

Which two numbers have a 3 that is 10 times the value of the 3 in 1,249.35?

Answers

Answer:

see below

Step-by-step explanation:

will be of the form xxxx3.x    '3' will be just to the left of the decimal point

A pair of shoes is $50, plus 10% tax. What is the total amount you will pay?

Answers

Answer:

$55

Step-by-step explanation:

Given:

A pair of shoes is $50, plus 10% tax.

To Find:

What is the total amount you will pay?

Solve:

Tax = Increase - Add on

Thus,

$50 × 10% = 5

$50 + 5 = $55

Hence, the total amount you will pay is $55.

Kavinsky

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.



The student cannot work more than 20 hours each week.



The student wants to earn at least $375 each week.



• Define two variables and write a system of inequalities that represents the given constraints.

Answers

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.

Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.

The student cannot work more than 20 hours each week.

      x + y < 20 ...1

15x + 25y > 375 ...2

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

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PLEASE HELP I NEED THIS FAST. Find the volume of each rectangular prism

Answers

1: 192
2: 48
3:108
4:288
5: 24
6:18

Help help help help help help

Answers

Answer:

Explanation:

7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
f(2) = 2^4 + 2^3 - 6^2 - 10(2) + 8
f(2) = 16 + 8 - 12 - 20 + 8
f(2) = 0

8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)

Thus, the common factor is x + 3

I need help with 3 and 4

Answers

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

( 3 )

the given figure resembles a rectangle !

now ,

[tex]Area \: of \: rectangle = length \times breadth \\ \\ given \: - \: length = 12 \: ft \\ \therefore \:breadth = x \: ft \\ \\ Area = 108 \: ft {}^{2} \\ \\ \implies \: length \times breadth = 108 \: ft {}^{2} \\ \\ \implies \: x \times 12 = 108 \\ \\ \implies \: x = \cancel\frac{108}{12} \\ \\ \bold\red{\implies \: x = 9 \: ft}[/tex]

_____________________________

_____________________________

( 4 )

the given figure resembles a parallelogram!

[tex]Area \: of \: parallelogram = height \times base \\ \\ \implies \: height = x \: cm\\ \\ \implies \: base = 16 \: cm \\ \\ \: Area \: = 96 \: cm {}^{2} \\ \\ \implies \: x \times 16 = 96 \\ \\ \implies \: x = \cancel\frac{96}{16} \\ \\ \bold\red{\implies \: x = 6 \: cm}[/tex]

hope helpful :D

[tex]\huge \underbrace \mathfrak \red{Answer}[/tex]

To find :-

To get the value of 'di in figure 3 and 4.

Figure 3

According to the figure, we know that it is a quadrilateral. It's all sides are at 90°.So we can assume that it can be rectangle. In the figure, length of one side is given and area of figure is given and we have the length of another side.

Solution :-

Area of rectangle = length × width

area = 108 ft², length = 12 ft, width = x

[tex]108 = 12 \times x \\ \frac{108}{12} = x \\ 9 = x[/tex]

Therefore, the value of x in this figure is 9 ft.

[tex] \\ [/tex]

Figure 4

According to figure, we finds out that it is quadrilateral as it has 4 sides. It has all parallel sides. We can assume that it is parallelogram as the sides which are facing each other are parallels. And here value of one side is given which is base and area is given, we have to find here is height.

Solution :-

Area of parallelogram = base × height

Area = 96 cm², base = 16 cm, height = x

[tex]96 = 16 \times x \\ \frac{96}{16} = x \\ 6 = x[/tex]

Therefore, the value of x is 6 cm.

Select the correct expression.
Select the expression that is equivalent to the expression below.

Answers

Answer:

[tex]8\sqrt[3]{-8x^3y^6z^{13}}[/tex]

Step-by-step explanation:

[tex]8\sqrt[3]{-8x^3y^6z^{13}}\\\\=8\sqrt[3]{(-1)^3\cdot2^3\cdot x^3 \cdot y^6 \cdot z^{12} \cdot z}\\\\=8\left[(-1)^3\cdot2^3\cdot x^3 \cdot y^6 \cdot z^{12} \cdot z \right]^{\tfrac 13}\\\\=-8\cdot 2 \cdot x \cdot y^2 \cdot z^4 \cdot z^{\tfrac 13}\\\\=-16xy^2 z^4 \sqrt[3]z[/tex]

Is this polynomial, rational, logarithmic, or exponential?

Answers

Answer:

logarithmic

Step-by-step explanation:

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