Help please!!

Rogelio has $34 and he wants to buy a jacket for $75. He works with
his uncle on the weekends for $8 an hour.
Which inequality represents the number of hours (h) Rogelio could
work to earn at least enough money to buy the jeans?

9514 1404 393

Answer:

  x = -6 (correct answer)

  mistakes were made in Step 2 and Step 5.

Step-by-step explanation:

The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.

Step 1: 12 = -2(x -4) -8

Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2

Step 3: 12 = -2x . . . . . . . . . . . like terms combined

Step 4: -6 = x . . . . . . . . . . . . . divide by -2

__

Check

  12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK

__

Comment on other mistake

In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.

An additional mistake was made in that the answer was not checked.

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Side links are : 3m, 4m, 5m

The perimeter of a triangle = (a + b + c)

Perimeter 1= (3 + 4 + 5) = 12m

If the side links are multiplied by 4 :

3*4 = 12 m

4*4 = 16m

5*4 = 20m

Perimeter2 = (12 + 16 + 20) = 48 m

Comparing the perimeters:

Perimeter 1 = perimeter 2

12 = 48

Hence, perimeter also increases by 4 folds

Answer:

y ≥ 1

since the graph starts at 1 and doesn't come below that

Answer:

I hoped this helped :))

Answer:

naniiiiiiiiiiiiiiiiiiiiii

Answer:

uhmmuhmmmmmmmmuhmmmm

Answer:

Student 2 and Student 3

Step-by-step explanation:

Student 2

-(5r - 3s + 1)

= - 5r +3s - 1

Student 3

= - 5r +3s - 1

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

​

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

Answer:

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?

Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So

[tex]\frac{1}{9} + p = 1[/tex]

[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]

The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The relation is proportional ⇒ Graph of y = 3x goes through origin

So the answer is (B)

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

Answer:

$33

Step-by-step explanation:

You do $660 • 0.025

You have to bring the decimal two places to the left for finding the decimal point.

So you'd get 16.5.

But there's two years. So times it by two.

So it's 33.

Hope this helps

50×100÷110=45.454545r6

Answer:

angle B = 66.42

Step-by-step explanation:

cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos-1 B = [tex]\frac{2}{5}[/tex]

cos-1 B = 0.40

cos-1 of 0.40 is 66.4218

round to the nearest hundreth = 66.42

angle b = 66.42

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

Answer:

x= -17/8

Step-by-step explanation:

1 step: take care of the parentheses ( multiply -2 to what is on parentheses)

so x -8x +6 =-12-14x

2 step : move all number with x to the left side

x-8x +14x = -12 -6

7x = -18

x = -18/7

Answer:

90

Step-by-step explanation:

you have to multiply A B and C and you should get 90

i think i'm right

Answer:

13/15

Step-by-step explanation:

The fraction of the cookies that are chocolate chip can be determined by solving this equation

1 - ([tex]\frac{4}{12}[/tex] - [tex]\frac{1}{5}[/tex])

1 - [tex]\frac{20 - 12}{60}[/tex]

1 - [tex]\frac{8}{60}[/tex]

[tex]\frac{60}{60}[/tex] - [tex]\frac{8}{60}[/tex] = [tex]\frac{52}{60}[/tex] = 13/15

Answer:

10/1

Step-by-step explanation:

You do

6÷ 3/5

Flip the 3/5 then multiply

6 ° 5/3

Reduce the numbers with the greatest common factor 3

So 2•5

And that's 10

Ans is 10.

The numbers in 6 divided by 3/5 are labeled below:

6 = whole number

3 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 5/3 = 30/3

Thus, the answer to 6 divided by 3/5 in fraction form is:

30/3

To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

30 / 3 = 10

The answer is rounded to the nearest two decimal points if necessary.

30/3 can be simplified to 10/1.

10/1 is an improper fraction and should be written as 10.

Answer:

20.76 ✨

hope that helped!!!!

Answer:

i think it's $60.68

Step-by-step explanation:

if I'm wrong plz correct me

Answer:

3 5/7

Step-by-step explanation:

Answer:

I think answer is C. 4

Step-by-step explanation:

8:2=4

Answer:

Step-by-step explanation:

Given,

Marks of the four exams = 65, 80, 76, 68

Let the mark for the fifth exam be = x

Mean of the five exams = 70

Therefore,

By the problem,

[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]

[tex] = > \frac{289 + x}{5} = 70[/tex]

=> 289 + x = 70 × 5

=> 289 + x = 350

=> x = 350 - 289

=> x = 61

Hence,

Marks of the fifth exam is 61 (Ans)