enter the value of 4 1/4 - 5/7 + (-2/7) - (-3)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]4\frac{1}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]

[tex]4\frac{1}{4}=\frac{4\cdot 4+1}{4}[/tex]

[tex]=\frac{17}{4}[/tex]

[tex]=\frac{17}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]

[tex]=\frac{99}{28}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]

[tex]=\frac{99}{28}-\frac{2}{7}-\left(-3\right)[/tex]

[tex]=\frac{13}{4}-\left(-3\right)[/tex]

[tex]=\frac{13}{4}+3[/tex]

[tex]=\frac{25}{4}[/tex]

[tex]\frac{25}{4}=6\frac{1}{4}[/tex]

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

-{ModPatrol}


Related Questions

if a dining room is 3 meters long in real life and is 1 centimeter long in the drawing, what scale factor does the drawing use?

Answers

Answer:

1:300

Step-by-step explanation:

Find the area of the unshaded region.

multiple choice group answers

565

555

530

560

Answers

It’s 560 because 16 x 7 = 112 and 32 x 21 = 621 then 621 - 112 = 560

Find the radius when the area is 452.16 in^2

Answers

area = pi x r²

3,14 x r² = 452,16

r² = 144

r = 12

Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6. 71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924. 84 c. $23,735. 88 b. $25,789. 32 d. $21,445. 50.

Answers

Answer:

Correct answer: a.

Computation:

{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;

Step-by-step explanation:

Financing:

Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A

The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Big Ed’s car dealership is running a special on 2008 trucks.

Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.

You are interested in a Car Crusher truck that costs $25,230.

Not including the down payment, the amount that you pay over the lifetime of the loan will be

⇒ (1 - 0.15) × $25,230

⇒ 0.85 × $25,230

⇒ $21,445.5

More about the percentage link is given below.

https://brainly.com/question/8011401

Equations, graphs, Slopes and y-intercepts : application

Answers

Answer:

the answer to the graph is y=-4x-3

Answer:

y = -4x - 3

Step-by-step explanation:

The given line has :-

slope = -4y-intercept = (0, -3)

Substituting in slope-intercept form

y = mx + by = -4x - 3


b. Maria is watching cell growth in a lab. The cells double every 30 minutes. If there were 3 cells
initially, how many cells are there in 5 hours

Answers

Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t

Could the following side lengths make a right triangle?

28, 53, 45

Answers

Answer:

no. the triangle would be acute

Step-by-step explanation:

[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle

[tex]28^2+53^2=45^2[/tex]?

[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]

[tex]784+2809=3,593[/tex]

[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]

which means the triangle is acute, not right.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.

What is the volume of the prism?


45 m³

54 m³

69 m³

108 m³

Answers

The volume of this right prism that has a triangular base is equal to 108 cubic meters.

The volume of a right prism.

Mathematically, the volume of a right prism is given by this formula:

V = L x W x H

Where:

L is the length.W is the width.H is the height.V is the volume.

Given the following data:

Length of base = 6 meters.

Width of base = 4 meters. cm.

Height of prism = 4.5 meters.

Substituting the given parameters into the formula, we have;

V = 6 x 4 x 5

V = 108 cubic meters.

Read more on volume of prism here: brainly.com/question/3867601

Answer: 54 m³

Step-by-step explanation: proof with more answers

Choose 3 values that would make this inequality true. 8n + 4 ≤ 28

Choices:3,6,13,2,5,14,1

Answers

Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

The graph of the function f(x) is shown.


Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.

Answers

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0  ⇒  x = 2

(2x + 3) = 0  ⇒  x = -1.5

Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2 if AB = 18, find EF

Answers

Answer:

A... 12

Step-by-step explanation:

if u help me and answer correctly ill give brainlest thanks

Answers

Answer:

10/4 in simplest form 5/2

Step-by-step explanation:

Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2

Can someone please help

Answers

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

Find the lateral area of a cone.

Answers

Answer: B. 1178 cm²

What we are solving for:

   The lateral area is, put simply, the surface area of the cone not including the bottom.

    The formula is:

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

Height of the cone:

    This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.

a² + b² = c²

15² + b² = 25²

225 + b² = 625

b² = 400

b = [tex]\sqrt{400}[/tex]

    The height is 20 cm

Solving:

    Back to the formula,

L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]

L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]

L ≈ 1178.1 cm²

              The lateral area of the cone is B. 1,178 cm².

PLEASE SOLVE will give brainliest!!​

Answers

Answer:

‍♂️

Step-by-step explanation:

Sry dunno the answer

Can u just give brainliest pls?

find the value of x in the triangle below

Answers

Answer:

√80 (Option A)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be AC, where AC is the Hypotenuse.

4 be AB, where AB is the Perpendicular.

8 be BC, where BC is the Base

We know that,

[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]

[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]

Therefore,

The value of x is √80

The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.

So, By Pythagoras theorem

[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]

[tex]x = \sqrt{16 + 64} [/tex]

[tex]x = \sqrt{80} [/tex]

steps for Is (–5, 5) a solution to the equation y=x?

Answers

Answer:

Step-by-step explanation:

To check , substitute x = -5 and y = 5 into the given equation:

y = x

5 = -5

which is not true so (-5, 5) is not a solution.

Kim and Steven went to dinner. Kim had a coupon for 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was 75.00, what is the discount price, not including tax and tip.

Answers

Answer:

$56.25

Step-by-step explanation:

75%*75.00 = 56.25

help SOS Stevie needed twine for the gifts she was wrapping for a family party.
lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?

Answers

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.

The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?

In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.

please help

Answers

Answer:

It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.

I got this answer by doing the formula for a cylinder

Blue cup              Green cup

(π)(2^2)(8)         (π)(4^2)(8)

= 32π                  =128π

Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink  

To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.

It is required to find how many cupfuls of water to empty the sink.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Sink volume V = 512π cubic inches

The blue cup diameter d(b) = 4 in or radius r(b) = 2 in          

and height h(b) = 8 in    

The green cup diameter d(g) = 8 in or radius r(g) = 4 in

and height h(g) = 8 in

The cup is the shape of a cylinder we know the volume of a cylinder is given by:

[tex]V = \pi r^2 h[/tex]

Volume for the blue cup:

[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex]    [ r(b) = 2 in and h(b) = 8 in]

v(b) = 32π cubic inches

Volume for the green cup:

[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex]   [r(g) = 4 in and h(g) = 8 in]

v(g) = 128π cubic inches

For a number of blue cups:

[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16

For a number of green cups:

[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4

Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.

Learn more about the volume here:

https://brainly.com/question/16788902

A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:

Answers

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216

Answers

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

what is pi and why do we need it

Answers

pi or 3.14 is known as the ratio between a circle’s circumference and diameter.

Answer:

Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.


Step-by-step explanation:

Have a great rest of your day

#TheWizzer

What is the slope of this line whose equation is y=1/6x-1/2

Answers

Answer:

The slope = 1/6.

Step-by-step explanation:

The general form for a straight line  is

y = mx + c   where m is the slope

So in this case m = 1/6.

What is the surface area of this rectangular pyramid?
5 m
4 m
4 m
square meters
ILL GIVE BRAINLIEST

Answers

Answer:

A=61.23

Step-by-step explanation:

Complete this proportion: 6/8 = a/12.

Answers

Answer:

9

Step-by-step explanation:

6      x

-   =   -

8      12

the relationship from 8 to 12 is divided by.666666666666

So, we do the same for 6

We get 9.

Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply.

Answers

The equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

What is a Leading Coefficient?

A leading coefficient is the term that has the highest degree in a polynomial expression.

What is a Constant?

A constant is a term that has only numbers and contains no variable.

We are given the following equations:

0 = 3x² + 2x – 2 0 = –2 – 3x² + 3 0 = –3x + 3x² – 2 0 = 3x² + x + 2 0 = –1x – 2 + 3x²

The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.

Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

Learn more about leading coefficient on:

https://brainly.com/question/99237

20x = 1029y find the value of x and y.

Answers

Answer:

find value of X and y and you can get answers

2. Tania went to Italy. She changed £325 into euros (€). The exchange rate was £1 = €1.68 (a) Change £325 into euros (E). ​

Answers

Answer:

£325 is €546

Step-by-step explanation:

325 times 1.68 is 546

A manager drew this box-and-whisker plot to represent the ages of the company's 240 employees.

Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.

How many employees are younger than 42?

Select from the drop-down menu to correctly complete the statement.

About
Choose... 24,48,60,75
employees are younger than 42.

Answers

Answer:

its 60

Step-by-step explanation:

i took the test

Answer:

60

Step-by-step explanation:

just took the test !!! got 100%

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