What is the justification for it step in solving the inequality? 75x + 35 > 7(11x+9)+4

Answers

Answer 1

75x - 35 ≥ 77x + 63 + 4  Distributive property.
75x -35 ≥ 77x + 67  Combine like terms.
-2x - 35 ≥ 67 Subtraction property of equality.
-2x ≥ 102  Addition property of equality.
x ≤ 51  Division property of equality.

Related Questions

Simplify . 4y4 4y8 8y4 8y8

Answers

Answer:

Step-by-step explanation:

Just did it.

Answer:

Step-by-step explanation:

Find the average.

11,16,15,22

A.64
B.15
C.17
D.16

Answers

Your answer is D)16. To find the average, add up all the numbers and divivde by the number of numbers there is

To find the average, add all of the numbers and then divide by how many numbers there were.
So:
11 + 16 + 15 + 22 = 64
64 / 4 = 16

Your answer is D. 16. Hope this helps!

The volume of a triangular prism is increased by a factor of 8.

By what factor is the surface area of the figure increased?

Answers

we know that

[tex]larger\ volume=original\ volume*(scale\ factor)^{3}[/tex]

and

[tex]larger\ surface\ area=original\ surface\ area*(scale\ factor)^{2}[/tex]

Find the scale factor

we know that

[tex](scale\ factor)^{3}=8 \\ scale\ factor=\sqrt[3]{8}=2[/tex]

Find the factor of the surface area increased

[tex](scale\ factor)^{2}=2^{2} =4[/tex]

therefore

the answer is

the surface area increased by a factor of [tex]4[/tex]

The need to cut the plastic by finding the measures of the angles (scale factor) is 4.

We have given,

Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic.

We know that

What is the formula of larger volume?

larger volume=original volume×(scaler factor )^3

larger surface area =original surface area× (scaler factor)^2

To find the scale factor

we know that

(scalar factor)^3=8

Taking cube root on both sides

scale factor=2

Find the factor of the surface area increased

(scale factor)^2=2^2=4

Therefore, The surface area increased by a factor of 4.

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Which equation correctly applies the distributive property?

A. 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
B.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
D. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045

Answers

C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)

C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) is the correct answer

hope this helps

You can take out a 0.5 from each expression

From a rectangular piece of cardboard having dimensions a × b, where a = 20 inches and b = 70 inches, an open box is to be made by cutting out an identical square of area x2 from each corner and turning up the sides (see the figure). Express the volume V of the box as a function of x.

Answers

check the picture below.

The volume of the box as a function of x will be 1400x - 180x² - 4x³.

First and foremost, you should note that the volume of a rectangular prism is given as:

= Length × Width × Height

where,

Length = 70 - 2x

Width = 20 - 2x

Height = x

Volume = Length × Width × Height

Volume = (x)(20 - 2x)(70 - 2x)

Volume = 1400x - 40x² - 140x² + 4x³

Volume = 1400x - 180x² - 4x³

Therefore, the volume of the box as a function of x will be 1400x - 180x² - 4x³.

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You started on a bike trip, riding at a rate of 9 miles per hour. Your friend left one hour later and rode at the rate of 12 miles per hour. How long did it take your friend to catch up with you?

Answers

They need 3 hours to catch.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

riding at a rate of 9 miles per hour

the friend left at rate of 12 miles per hour

Difference between

=12-9

=3 mph

So, the time they need to take

=9/3

= 3 hours

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0.4 ( 8 - 0.2w ) = -4

Answers

Hello there!

[tex]Subtract[/tex] by the [tex]number [/tex] [tex]3.2 [/tex] to your [tex]sides [/tex]

Like → [tex]-0.08w + 3.2 - 3.2 \\ \\ = 4 - 3.2[/tex]

We get this→ [tex]-0.08w = -7.2 [/tex]

Since the [tex]-0.08 [/tex] goes into both of the number we would have to [tex]divide [/tex] by the decimal [tex]-0.08 [/tex] onto your [tex]sides [/tex]

Like → [tex] \frac{-0.08w}{-0.08} = \frac{-7.2}{-0.08} [/tex]

Now the we got those [tex]few [/tex] [tex]steps [/tex] out of the way we can solve our answer!

[tex] \frac{-0.08w}{-0.08} \\ (CancelOut) \\ \\ \\ \\ \frac{-7.2}{-0.08} \\ (Keep)[/tex]

[tex] \frac{-7.2}{-0.08} = 90 \\ \\ \\ Answer: w = 90 [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

Which percent is represented by the diagram below?

1.25%
12.5%
125%
1250%

Answers

Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...

10+2.5=12.5

So your answer is B 12.5.

1 whole section is shaded...so thats 100%
25 out of 100 in the other box.....thats 25%

so u have 125% that is shaded

If i buy a box of candy for $30 and make $52 selling the candy what is my profit

Answers

it is $82 for your profit

Joe bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

The answer would be 1/4 pounds((One and one quarter pounds)) I hope this helps :3

If Joe bought 20 ounces of nuts at the store then the nuts in pounds is 1. 25 lb

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Joe bought 20 ounces of nuts at the store.

We have to find in pounds.

As we know that 1 ounce is equal to 0.0625 pounds.

Now we have to convert 20 ounces to pounds.

To do this we have to multiply 20 with 0.0625

20×0.0625

1.25 pounds

20 oz is equal to 1. 25 lb

Hence, the nuts in pounds is 1. 25 lb if Joe bought 20 ounces of nuts at the store.

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Tyler used 17.04 gallons of gas.Maria used 6.2 times as many gallon of gas as Tyler. How many gallons of gas did Maria use?

Answers

Tyler (T)= 17.04 gallons
Maria=6.2(T), Maria= 6.2x17.04=105.65 gallons

In a recent survey, two-thirds of the 234 students in a freshman class said they watch television shows on their computer. Determine the correct arithmetic set up for determining how many students watch television on their computer

Answers

We know that 2/3 of all students watch TV shows on their computers.
And 234 students were in that survey.
2 / 3 * 234 = 156
Answer: 156 students watch shows on their computer.

Essentially, arithmetic set here means "number", so what we will be interested in is the answer to this question can be found here:

'two-thirds of the 234'.

that's all we need to know here. So let's count:
[tex] \frac{2}{3} *234=2*78=156[/tex]

so the answer is simply 156!

of the 30 girls who tried out for the lacrosse team at euclid Middle School, 12 were selected. Of the 40 boys who tried out but, 16 were selected. Are the ratios of the numbers of students on the team to the number of students trying out the same for both boys and girls? How do you know?

Answers

12/30 = 2/5
16/40 = 2/5

yes the ratio is the same, because they both simplify to 2/5

hope this helps

What is the quadratic function

Answers

check the picture below.

F is the midpoint EG Find the length EG given that the length FG IS10.9

Answers

2x10.9=21.8
that's the answer(dont forget your unit)

How do you solve step by step (-10)+14+25+(-16)

Answers

(-10) + 14 + 25 + (-16) Add 14 and 25
(-10) + 39 + (-16) Change 39 + (-10) to 39 - 10
(-10) + 39 - 16 Subtract 16 from 39
(-10) + 23 Change (-10) + 23 to 23 - 10
23 - 10 Subtract 10 from 23
13

*Remember, you can rearrange expressions like this as long as each number keeps its sign. Notice that (-10) had its negative sign the whole time, even though we moved it around.

Jenny charges for delivering the cakes.

Bob lives 12 miles away.

How much will Jenny charge to deliver the cakes? delivery charges £4 mixed cost + 60p per mile

Answers

Final answer:

To deliver the cakes to Bob, Jenny will charge £11.20.

Explanation:

To calculate the delivery charges, we need to find the distance between Jenny's location and Bob's location. Since Bob lives 12 miles away, the delivery distance will be 12 miles. Jenny charges £4 as a mixed cost plus 60p per mile. So, the delivery charge will be £4 + (12 miles * 60p) = £4 + £7.20 = £11.20.

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In how many different ways can the curator of a museum arrange five of eight paintings horizontally on the wall?

Answers

8C5=8!/(3!5!)=56
There are 56 ways a curator can arrange the paintings.

The requried number of ways that 5 paintings to be chosen is 56 ways.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
Total number of paintings = 8
Total number of paintings to be arranged = 5
Number of ways = 8C5
= 8!/[8-5]!5! [nCr = n!/[n-r]!r!]

= 56 ways

Thus, the requried number of ways that 5 paintings to be chosen is 56 ways.

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Solve the given initial-value problem. give the largest interval i over which the solution is defined. x dy dx + y = 6x + 1, y(1) = 8

Answers

[tex]x\dfrac{\mathrm dy}{\mathrm dx}+y=6x+1[/tex]
[tex]\dfrac{\mathrm d}{\mathrm dx}(xy)=6x+1[/tex]
[tex]xy=\displaystyle\int(6x+1)\,\mathrm dx[/tex]
[tex]xy=3x^2+x+C[/tex]

Given that [tex]y(1)=8[/tex], we have

[tex]8=3+1+C\implies C=4[/tex]

so that the particular solution is

[tex]xy=3x^2+x+4[/tex]
[tex]y=3x+1+\dfrac4x[/tex]

which is valid as long as [tex]x\neq0[/tex], which in turn suggests the largest interval over which the solution may be valid is [tex](0,\infty)[/tex].

Which of the following fractions is closest to the decimal 0.35

Answers

These are the options that I found for this question.

1/3

3/5

3/8

5/1/2

You just have to make the division and compare the results>

1 / 3 = 0.333..

3 / 5 = 0.6

3 / 8 = 0.375

5 / 12 = 0.416.....

So which is closest to 0.35? The answer is 1/3

Use the empirical rule to calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all possible bank customer waiting times. (round your answers to 3 decimal places. negative amounts should be indicated by a minus sign.)

Answers

By empirical rule, 68.36 percent lie within 1 standard deviation of mean on either side, similarly, 95.44 and 99.7 percent lie in 2 and 3 standard deviations respectively. So, 68.36% tolerance interval is (134.5-16.6343 to 134.5+16.6343) which is (117.8657 to 151.1343) 95.44% tolerance interval is (134.5-2*16.6343 to 134.5+2*16.6343) which is (101.2314 to 167.7686) 99.73% tolerance interval is (134.5-3*16.6343 to 134.5+3*16.6343) which is (84.5971 to 184.4029)

Simplify each expression. use positive exponents. 1. m^3n^–6p^0

Answers

[tex]m^3n^{-6}p^0= \frac{m^3*1}{n^6} = \frac{m^3}{n^6} [/tex]

evaluate the expression
(4+49) - 4X10

Answers

4 +49 = 53 -40=24

hope this works

at a wedding dance couples have new partners nine times during a five minute song how long does one couple dance together

one couple dances toghether for _ of a minute

Answers

33.33333333333333333 seconds for every dance with couple

Final answer:

To determine how long one couple dances together, divide the total song duration by the number of times partners change plus one. With nine partner changes during a five-minute long song, each couple dances together for 0.5 minutes.

Explanation:

The question involves calculating the amount of time one couple dances together during a wedding dance if couples change partners nine times during a five-minute song. To find the answer, we need to divide the total time of the song by the number of times the partners change.

First, we find out how many times the couples will dance together. If they switch partners nine times, there will be ten different dancing intervals. Next, we divide the total length of the song by the number of intervals:

5 minutes ÷ 10 intervals = 0.5 minutes per interval.

Therefore, one couple dances together for 0.5 of a minute.

Jody, a statistics major, grows tomatoes in her spare time. she keeps a record of the weight of each tomato she grows. what percentage of all her tomatoes will be within one standard deviation of the mean weight? choose the correct answer below.
a. 50
b. 99.7
c. 95
d. 68
e. 10

Answers

Refer to the figure below.
μ = the mean
σ = the standard deviation

If the weights of the tomatoes are normally distributed, then about 68% of the weights will be within one standard deviation from the mean.
That is,
P(μ-σ ≤ x ≤ μ+σ) = 0.68

Answer: c. 68

what number must you add to complete the square x^2+24x=17

Answers

We have
x² + 24x = 17 (1)

Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.

Therefore
x² + 24x = (x+12)² - 144 (2)

Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161

Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.

What is the absolute difference between 1/2 and 1/3?

Answers

1/2 - 1/3 = 3/6-2/6 = 1/6

absolute value is 1/6

if x equals 3= xequals 4 then use the equation 2x y -6 x equals 18 Z to find the value of y

Answers

Greetings!

"If x equals 3 and z equals 4, find the value of y in the equation: [tex]12xy-6x=18z.[/tex]"

Input the value of the variables we were given:
[tex]12(3)y-6(3)=18(4)[/tex]
Simplify.
[tex]36y-18=72[/tex]
Add 18 to both sides.
[tex](36y-18)+18=(72)+18[/tex]
Simplify.
[tex]36y=90[/tex]
Divide both sides by 36.
[tex](36y)/36=(90)/36[/tex]
Simplify.
[tex]y=5/2[/tex]
[tex]y=2.5[/tex]

The variable, y is equal to 2.5.

Hope this helps.
-Benjamin

Enfaite je ne comprend pas cet exercice qui peut m'aider c'est deja la rentré et je galère merci de bien vouloir m'aider

Answers

La surface de la pizza est de 110x88 = 9 680 cm²
9 680 en facteurs premier donne 9680 = 2⁴ x 5 x 11² ou 4² x 5 x 11²

Donc on peut diviser l'aire de la pizza ( au minimum) avec des carres de 4 cm de cote et au maximum avec des carres de 11 cm de cote:

Donc 9680÷ 4² = 9680 ÷ 16 = 605 carres de 4 cm chacun

et 9680 ÷ 11² = 9680 ÷ 121 = 80 carres de 11 cm chacun

what he said ^^^^^^^^

Multiply or find the special product. (Simplify your answer completely.)
[(x − 8y) + z][(x − 8y) − z]

Answers

You can use formula (a-b)(a+b) = a² - b²

[(x − 8y) + z][(x − 8y) − z]
= (x - 8y)² - z²
= x² - 16xy + 64y² - z² ← answer

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