The product of 8/9 and the sum of a number and – 4 is less than or equal to 64.
What are all the possible values of the number? Show your work.

Answers

Answer 1

Answer:

[tex]x\leq 76[/tex]

Step-by-step explanation:

Let x = unknown number

[tex]\implies \dfrac89 \times (x-4)\leq 64[/tex]

[tex]\implies \dfrac{8(x-4)}{9}\leq 64[/tex]

Multiply both sides by 9:

[tex]\implies 8(x-4)\leq 576[/tex]

Expand brackets:

[tex]\implies 8x-32\leq 576[/tex]

Add 32 to both sides:

[tex]\implies 8x\leq 608[/tex]

Divide both sides by 8:

[tex]\implies x\leq 76[/tex]

Answer 2

Let the number be x

ATQ,

[tex] \sf \frac{8}{9} (x - 4) \leqslant 64[/tex]

Note that

Product means ×Sum means +Less than or equal to means ≤

Solve the equation for x ~

[tex] \sf \: x - 4 \leqslant 72[/tex]

[tex] \sf \: x \leqslant 72 + 4[/tex]

[tex] \boxed{ \tt \: x \leqslant 76}[/tex]


Related Questions

The number 100 is multiplied either by 2 or by 3, then the result is increased either by 1 or by 2, and then the new result is divided either by 3 or by 4. If the final result is a natural number, what is this final result?​

Answers

Answer:

67

Step-by-step explanation:

This is the right answer

Simplify. Express your answer using positive exponents.

Answers

Answer:

[tex]m^9[/tex]

Step-by-step explanation:

[tex]\frac{m^0m^{-1}m^3}{m^{-7}}[/tex]

[tex]m^0m^{-1}m^3=m^2[/tex]

[tex]\frac{m^2}{m^{-7}}[/tex]

[tex]m^9[/tex]

On a fruit farm 1/3 of the trees are apple trees and 1/5 are lemon trees. The rest are fig trees. There are 90 trees in all.

Answers

Answer:

I'm not sure what the question was but I've worked out all the three types of trees

Step-by-step explanation:

⅓ + ⅕ = 8/15 because:

×5 ×3

5/15 + 3/15 = 8/15

therefore 7/15 is fig trees

90÷15 =6

6×5 = 30 apple trees

6×3 = 18 lemon trees

6×7 = 42 fig trees


help would be very appreciated!! ty!

Answers

Answer:

4

Step-by-step explanation:

the height that the ball reaches is 4ft

brainliest appreciated:)

I need help please!!!

Answers

Do you need help with the whole worksheet ?

A suit was marked with a 10% discount.
If the discount is $18.00, what was the original price of the suit?

Answers

Answer:

$20

Step-by-step explanation:

10% = 18/9

10% = 2

2 x 10 = 20

find the 57th term of the sequence 74n-29, where n represents the position of a term in sequence.

Answers

Answer:

4189

Step-by-step explanation:

Given sequence is:

[tex]a_n=74n-29[/tex]

Plugging n = 57 in the given sequence, we find:

[tex]a_{57}=74(57)-29[/tex]

[tex]a_{57}=4218-29[/tex]

[tex]\huge \red{a_{57}= \boxed{4189}}[/tex]

1. Jeffrey practiced his drums from 4:00 p.m. until 7:00 p.m. How many minutes did he practice

Answers

Answer: 180minutes

Explanation:60minutes are in a hour and 60+60 is 120+ 60 =180

Can u help me please?​

Answers

Answer:

  (-2, -1), (1, 2)

Step-by-step explanation:

The only integer divisors of 2 are 1 and 2. (2 is a prime number, divisible only by 1 and itself.) When listed according to the instructions, they can be positive or negative:

  2 = (-2×-1) = (1×2)

Pairs of integer factors are (-2, -1) and (1, 2).

Simplify: 213(5) + 1111(5)

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

6620

Step-by-step explanation:

213(5) + 1111 (5)=

Let's Multiply first.

213 × 5 = 1065

Then 1111 × 5 = 5555

5555 + 1065 = 6620

[tex][CloudBreeze][/tex]

Brainliest If correct

Answers

The answer would be 221
First we subtract 13 from both sides, then we get our answer
247 explanation: add 234+ 13= 247 and 247-13= 234 so w = 247

What is the missing length?
8 mi
1)) area
=
56 mi?

Answers

base * height = 56
8mi * v = 56
v = 7mi

If h(x) = 2x and g(x) = 3x + 1, what is h(g(x))?
O 6+1
o 6x² +2
o 12r? + 1
12x² + 2
o

Answers

Answer:

6x+2

Step-by-step explanation:

[tex]h(x) = 2x \\ g(x) = 3x + 1 \\ h(g(x)) = h(3x + 1) \\ h(3x + 1) = 2(3x + 1) \\ 6x + 2[/tex]

A certain size bottle holds exactly 4/5 pint of liquid. How many of these bottles can be filled from a 20-pint container?

Answers

The answer would be 25. First you need to convert 4/5 into a decimal. This would be 0.8. Now you need to divide 20 and 0.8 to get the answer 25.

Identify the correct solution to the problem 8 x 2/3 .
A. 5 1/3
B. 8 2/3
C. 3 1/5
D. 5 2/4

Answers

A. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(16, 3) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight multiplied by two thirds

Suppose that an individual has a body fat of 17.1% and weighs 128 pounds. How many pounds of his weight is made up of fat?

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{17.1\% of 128}}{\left( \cfrac{17.1}{100} \right)128}\implies 21.888~~ \approx ~~22[/tex]

75% of 64 is 120% of:
A
38

Answers

Answer:

48

Step-by-step explanation:

We must first find what is 75% of 64 (x), in order to find what this number is 120% of (y).

To find percentages, we can use the formula[tex]\frac{is}{of}=\frac{p percent}{100}[/tex], and we cross multiply and divide to find either the is value, of value, or the percent.

Thus, we have[tex]\frac{x}{64}=\frac{75}{100}\\ \\ 100x=(64*75)\\\\\frac{(100x=(64*75))}{100} \\\\x=48[/tex]

Now we want to find what 48 is 120% of:

[tex]\frac{48}{y}=\frac{120}{100} \\\\ 120y=(48*100)\\\\[/tex]

[tex]\frac{(120y=(48*100)}{120} \\\\y=40[/tex]

Name a pair of angles of rotation with the same sine value in the same quadrant.

Answers

Answer:

Because θ' is the reference angle of θ, both sin⁡(θ) and sin⁡(θ') have the same value. For example, 30° is the reference angle of 210°, and if we reference the unit circle, we can see that the sine values of both have a magnitude of 1/2, albeit they have different signs.

Solve for d:
1d+2d=3d-4d

Answers

Answer:

d = 0

Step-by-step explanation:

1d+2d=3d−4d

Combine 1d and 2d to get 3d.

3d=3d−4d

Combine 3d and −4d to get −d.

3d=−d

-

Add d to both sides.

3d+d=0

Combine 3d and d to get 4d.

4d=0

-

Product of two numbers is equal to 0 if at least one of them is 0. Since 4 is not equal to 0, d must be equal to 0.

d = 0

Answer:

d = 0

Step-by-step explanation:

1d + 2d = 3d - 4d

d + 2d = 3d - 4d

combine:

d + 2d = 3d

3d - 4d = -d

equals - 3d = -d

add d to both sides

3d + d = -d + d

Simplify :

4d = 0

Divide both sides of the equation by the same term:

4d/4 = 0/4

d = 0/4

so the answer is d = 4

Human body temperatures are normally distributed with a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit. Find the temperature that separates the top 7% from the bottom 93%.

Please explain!

Answers

[tex] 99.12[/tex] is the answer.

Step-by-step Explanation:

To find- Probability area bound by 93% or 0.93.

Steps-

0.5 lies to the lie of the mean value.

→ 0.93 - 0.5 = 0.43 lies to the right of the mean.

Now find the corresponding "z" value for 0.43

It is 1.48.

Use this value to determine the requix value.

You have to use the formula -

[tex]z = x - μσ[/tex]

Solve it for [tex]x[/tex]:-

[tex]x = z \times σ + μ[/tex]

Where;

[tex]x = ? \\ z = 1.48 \\ σ = 0.62 \\ μ = 98.20[/tex]

Now put these values in the

formula;

[tex]x = (1.48 \times 0.62) + 98.20[/tex]

[tex] = > 0.9176+98.20[/tex]

[tex] = > 99.1176[/tex]

[tex] = > 99.12[/tex]

Hence, the temperature that separates

top 7% from the bottom 93%

is 99.12.

Answer:

The temperature that separates the top 7% with the bottom 93% is 99.12 degrees.

Step-by-step explanation:

The z-score that corresponds to 93% is about 1.48

(x - 98.2) / 0.62 = 1.48

x - 98.2 = 0.9176

x = 99.12 degrees

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

C

Step-by-step explanation:

160/-5 = -32

-1/2 times 64 is -32

Solve the triangle AMDM

Answers

It’s option B, hope this helps

What is the slope for (-3, -8)(-12, -20)

Answers

Answer:

4/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-20-(-8))/(-12-(-3))

m=(-20+8)/(-12+3)

m=-12/-9

m=12/9

simplify

m=4/3

Hello, your answer would be :

Slope m

m = [tex]\frac{4}{3}[/tex]

give work for equations following:

-x+2y<-4
2x+3y>6

thanks sooooo much!!!!

Answers

Answer: See below

Step-by-step explanation:

A) [tex]-x+2y < -4[/tex]

[tex]-x+2y-2y < -4-2y[/tex]

[tex]-x < -4-2y[/tex]

Multiply both sides by -1 and reverse the inequality:

[tex]\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)[/tex]

[tex]x > 4+2y[/tex]

B) [tex]2x+3y > 6[/tex]

[tex]2x+3y-3y > 6-3y[/tex]

[tex]2x > 6-3y[/tex]

[tex]\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}[/tex]

[tex]x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}[/tex]

7/12 - 4/5 i need the anwser may anyone help me

Answers

Answer:

- 13/60

Step-by-step explanation:

Have a great day!

- 13/60

Step-by-step explanation:

Solve the following equation then place the correct number in the box provided 3(2x+5)> 2(x+6)

Answers

Answer:

The answer is  x ≥ -3/4

Step-by-step explanation:

Could anyone help with this whole page? My sister in 6th grade asked for help and i had no idea so help would be appreciated tysm<3

Answers

Answer:

1. Earl: $275/5 hours Mia: 376/8 hours

2. Earl raised $55 in one hour

Mia raised $47 in one hour

3. Earl made more money an hour 55 > 47

(Please someone help me!) (No links!)
Box 1
Box 2
Box 3
Box 4
Box 5

Answers

Answers:

Box 1:   -1Box 2:  -1Box 3:   3Box 4:   3Box 5:   3

See the diagram below.

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

Explanation:

Let's say we replaced 3x with y for now.

3x+1 is the same as y+1

So we have y+1 = 10

To isolate y, we undo the addition and subtract 1 from both sides.

That means -1 will go in the first two boxes.

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

After that step is done, we have y = 9 which is the same as 3x  = 9 after replacing y with 3x.

3x means "3 times x".

To undo the multiplication, we divide both sides by 3.

Therefore, boxes 3 and 4 will have "3" each.

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

Box 5 has 3 as well because 9/3 = 3.

The final answer is x = 3.

As a check,

3x+1 = 10

3*3+1 = 10

9+1 = 10

10 = 10

It works out.

Refer to the diagram below.

In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate. Suppose that an article describing the poll says that the margin of error for the statistic is 0.045.

Required:
Use this information to find an interval estimate and interpret the confidence interval.

Answers

Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

What is a confidence interval?

It is given by the sample proportion plus/minus the margin of error, and a x% confidence interval means that we are x% sure the population proportion is in the interval.

134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:

p = 134/420 = 0.319

The margin of error for the statistic is 0.045, hence:

0.319 - 0.045 = 0.274

0.319 + 0.045 = 0.364

The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

More can be learned about confidence interval concepts at https://brainly.com/question/25890103

Suppose the federal reserve increases the amount of reserbed by $100 million and the total money supply increases by $500 million. What is the money supply?

Answers

Answer: $400 million

Step-by-step explanation: $500-100= $400 million :)

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