how to to evaluate multi-step expressions involving positive fractions?

Answers

Answer 1

Answer:

You add or subtract the whole number by the fraction, and the whole number becomes a positive mixed number.


Related Questions

Rewrite the following expression as the product of two binomials. Do not simplify the product.
(x-5)(4x+9) + (2x - 4)(x-5)

Answers

Answer:

x-5

Step-by-step explanation:

giving brainlist for correct answer. :))

Answers

Answer:

3300 m²

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²

Area of a square = side length x side length

⇒ area of the square = 30 x 30 = 900 m²

Surface area of square-base pyramid = area of 4 triangles + area of square

⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²

a formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon does Liam have enough white paint to make 8 gallons of light green paint?

Answers

Given:

6 gallons of light green paint uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.

Liam has [tex]\dfrac{9}{16}[/tex] gallon of white paint.

To find:

Whether Liam have enough white paint to make 8 gallons of light green paint.

Solution:

Here, 6 gallons of light green uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.

So, the white paint for 1 gallon of light green [tex]=\dfrac{\dfrac{3}{8}}{6}[/tex]

                                                                          [tex]=dfrac{3}{8\times 6}[/tex]

                                                                          [tex]=\dfrac{3}{48}[/tex]

                                                                          [tex]=\dfrac{1}{16}[/tex]

It means, 1 gallons of light green uses [tex]\dfrac{1}{16}[/tex] gallon of white paint.

White paint for 8 gallon of light green [tex]=8\times \dfrac{1}{16}[/tex]

                                                               [tex]=\dfrac{8}{16}[/tex]

She has [tex]\dfrac{9}{16}[/tex] gallon of white paint, which is greater than  [tex]=\dfrac{8}{16}[/tex] gallons.

Therefore, Liam have enough white paint to make 8 gallons of light green paint.

If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:

3/8 gallons of white paint = 6 gallons of light green

We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as

9/16 gallons of white paint = x

Divide both expressions

3/8 * 16/9 = 6/x

2/3 = 6/x

Cross multiply

2x = 3 * 6

2x = 18

x = 18/2

x = 9

This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

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How many planes appear in this figure?

Answers

Answer:

We can't see the planes

Step-by-step explanation:

Answer:

Put the question up bruh

Step-by-step explanation:

HELP ME PLEASE!!!!!
this is hard for me i need help

Answers

Answer:

-1 1/2, 3

Step-by-step explanation:

Plz HELP
Item 9
A conjecture and the paragraph proof used to prove the conjecture are shown.

Given: ABCD is a parallelogram. Segment DC bisects angle B D E. Prove: angle 1 is congruent to angle 3. Parallelogram A B C D. Two rays D B and D E share endpoints at vertex D. Ray D B extends diagonally up to the right from D C at vertex D forming interior angles A B D and B D C. Angle A B D is labeled 1 and angle B D C is labeled 2. Ray D E extends diagonally down to the right from segment D C at vertex D forming an exterior angle C D E. Angle C D E is labeled 3.

Drag an expression or phrase to each box to complete the proof.

It is given that ABCD is a parallelogram, so AB¯¯¯¯¯∥DC¯¯¯¯¯ by the definition of parallelogram. So, ∠1≅ ​∠2​ by the alternate interior angles theorem. It is also given that DC¯¯¯¯¯ bisects ∠BDE, so ∠2≅ Response area by the Response area. Therefore, Response area ≅∠3 by the Response area.

option choices
Transitive property of congruence
definition of angle bisector
∠1
∠2
∠3

Answers

Answer:

goes in order like...

∠3

definiton of angle bisector

∠1

transitive property of congruence

Step-by-step explanation:

i took the test and got it right

m = -(4+ m) +2

what is m?​

Answers

Answer:

m = -1

Step-by-step explanation:

[tex]m = - (4 + m)[/tex]

Use - to open the bracket

[tex]m = - 4 - m + 2[/tex]

Collect like terms and simplify

[tex]m + m = - 4 + 2 \\ 2m = - 2[/tex]

Divide both sides of the equation by 2

[tex] \frac{2m}{2} = \frac{ - 2}{2} [/tex]

Simplify

[tex]m = - 1[/tex]

On your graph paper, plot the two points. Then determine the distance between the two points. Round your answers to the nearest hundredth. (2,3) and (-1,4 )​

Answers

Answer:

3.16

Step-by-step explanation:

Julisa had a coupon for 15% discount off the regular price of a pair of shoes at the stores. The regular price of the shoes she bought was $38.95. What was the discounted price of the shoes not including tax?

Answers

Answer:

33.10

Step-by-step explanation:

Y = 2x/a + 2b solve for b

Answers

Answer:

b = Y/2 - x/a

Step-by-step explanation:

Roger had 2kg of rice, he sold 15%.How many grams of rice did he sell
FULL EXPLANATION AND WORKING​

Answers

Answer:

300 grams

Step-by-step explanation:

2kg = 2000 grams

15% = 15/100

15/100 × 2000 = 300 grams

PLEASE MARK ME AS BRAINLIEST

A cone has surface area 360π in^2 and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2. what is the dilated cone's volume? asap! please my mom is trying to hurt me im locked in my closet! my dads home!!!!!!!!
they're trying to make me eat something called mellotonin while my mom is sniffing sugar in the livingroom!!!!

Answers

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

What is dilation?

Dilation is the increase or decrease in the size of a figure.

The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.

Hence:

Scale factor² = dilated cone area / cone surface area

scale factor² = 2250π / 360π

Scale factor = 2.5

Volume of dilated cone = 2.5³ × 800π = 12500π in³

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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help please.! and thank you

Answers

Answer:

common difference is 4

Step-by-step explanation:

12-4=8

8-4=4

What is the slope of the line that passes through the points (1, -2) and (3, -5)? A. B. C. D.

Answers

Hey there!

Use the slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]

-5-(-2) is the same as -5+2:

[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]

Hence, the slope of the given line is

[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

[tex]\tt{An~Amiable~Helper}[/tex]

The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope of line passing through the points (1, -2) and (3, -5)

m= -5-(-2)/3-1

=-5+2/2

=-3/2

Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

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If x=y then 5x=5y what property

Answers

If x = y, then 5x = 5y --> Multiplication Property

a cyclist bike a certain distance in 45 minutes. How long will it take a pedestrian to travel the same distance if he travels 2 2/3 times slower than the cyclist in minutes to hours.

Need by 3/14/22

Answers

Multiply time by the difference:

45 x 2 2/3 = 120 minutes

1 hour = 60 minutes

120/60 = 2 hours

Answer: 120 minutes which equals 2 hours

5 × -92 =
Just a quick response on how to solve this, thanks a ton!

Answers

Answer:

-460

Step-by-step explanation:

I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.

estimate the area of the circle. use 3.14 3.14 or 22 7 227 for π π.

Answers

Answer:

615.44

Step-by-step explanation:

If the diameter is 28, that means the radius is 14.

The formula for the area of a circle is pi x radius to the power of 2. So, 14 to the power of 2 (or 14 x 14) equals 196. 196 x 3.14 (pi) = 615.44

The estimated area of the circle is about 615.44 cm² or 616 cm², depending on which value you use for π.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

We are given that;

Diameter=28cm

Now,

In this case, the diameter of the circle is 28 cm, so the radius is half of that:

r = 28 / 2 = 14 cm

Plugging this value into the formula, we get:

A = π × 14²

Now we can use either 3.14 or 22/7 for π. Let’s use both and compare:

A ≈ 3.14 × 14² ≈ 3.14 × 196 ≈ 615.44 cm²

Or

A ≈ (22/7) × 14² ≈ (22/7) × 196 ≈ (4312/7) cm² ≈ 616 cm²

Therefore, by the area of circle the answer will be 615.44 cm² or 616 cm², depending on which value you use for π.

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Kelley has to work 45 hours at her job to earn enough money to buy a phone. She works 3 hours each day. If she has worked x days, write a linear equation to represent how many more hours Kelley must work to afford the phone.

Answers

The linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0

Functions and values

Functions are expressions represented in terms of a variable.

From the question, we have the following

Total number of hours = 45

If she works 3 hours per day and has worked x days, the total number of hours she needs to work is 3x

Equating to the total hours wwill give:

3x = 45

3x - 45 = 0

Hence  the linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0

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3( x - 4) = -2( 4 - x)

Answers

3x-12=-8+2x
3x-2x=-8+12
X=4





Please make me brainlist.

Step-by-step explanation:

first multyply x-4 by 3

second: same as first no:

put the algebric expression in same side

then do 3x-2x = -8 plus 12

then your answer is ready

Solve each equation by using the square root property. 4X^2+9+=33

Answers

Answer:

Step-by-step explanation:

4X^2=33-9

4X^2=24

X^2=24:4

X^2=6

X=\sqrt{6}

Good luck!

Heather is 5 feet 7 inches tall. There are
approximately 2.5 cm in one inch. What is
Heather's height in centimeters?

Answers

Heather is about 167.5 cm

5’7” is equal to 67 inches
when you multiply 67 inches by 2.5 cm (which is around 1 inch) you get 167.5cm
Her height is 167.5 cm.

for each of the following, give the equation of the line shown

Answers

i didn't know the answer sorry

Helps me solve this problem please middle one

Answers

Answer:

D

Step-by-step explanation:

Hope u got it.......


Which exponential function is equivalent to the geometric sequence an
= 7.5 (3)(n-1);

Answers

Answer:

f(x)=3^x

Step-by-step explanation:

assuming the n-1 is the exponent,

f(x)=3^x

the -1 is removed due to a graph starting at 0

Simplify these expressions
a) х х х х х х у х у
b) 2 x x x x x 3 x y x у х у
Please help me! ​

Answers

Answer:

a) x³y²

b) 6x²y³

Step-by-step explanation:

For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)

For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³

Hope this helps!

Someone help pls. It would mean a lot to me

Answers

Answer:

Step-by-step explanation:

there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

Answers

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

Hich would be a good statistical question Alexandra could have used to create the tally chart? How many people read three books in the last month? How many people read one or two books in the last month? Did you read in the last month? How many books did you read in the last month?

Answers

Incomplete questions. Here's the complete question:

Alexandra made a tally chart shown below. A 2-column table with 5 rows. Column 1 is labeled Books Read in the Last Month with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.

Which would be a good statistical question based on the tally chart?

How many people read three books in the last month?How many people read one or two books in the last month?Did you read in the last month?How many books did you read in the last month?

Answer:

How many books did you read in the last month?

Step-by-step explanation:

A tally chart is a numbering system used to quickly record data. It usually involves filling a chart with vertical dashes that represents the number of times an action or information is observed.

Therefore, by asking, "How many books did you read in the last month?", Alexandra would be able to get the answer by means of a tally chart which would show the number of times that action occurred.

Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.

Answers

Answer:  24/7

This is the same as writing the fraction [tex]\frac{24}{7}[/tex]

=======================================================

Explanation:

Use the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]

The horizontal side of the right triangle is 7 units long.

--------------------

The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]

The value for the tan [tex]\theta[/tex]  is 24/7.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

H= 25

P = 24

Now, Base, B= √H² - P²

B= √25² - 24²

B= √625- 576

B= 7

Now, tan [tex]\theta[/tex] = P/ B

                  = 24/ 7

Hence, the value for the tan [tex]\theta[/tex]  is 24/7.

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