What is the solution set for 2x – (x + 5) < 3x – 9 ?

Answer:

a..

Step-by-step explanation:

Answer:

x=5/4, y=7/4

Step-by-step explanation:

This is a similar triangles problem.

The first triangle (the smaller one) has the lengths 5, 8 and 7.

The second triangle (the lager one) has the lengths 5+x, 10, and 7+y

Let's first solve for x

In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)

since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)

For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)

here's the proportion

5/(x+5)=8/10

But before we multiply, we can simplify 8/10 to 4/5

so

5/(x+5)=4/5

Cross multiply

25=4x+20

5=4x

5/4=x

For y, we can do a similar process

We can use 8/10 or 4/5 again

and the ratio of the sides for y will be 7/(y+7)

7/(y+7)=4/5

35=4y+28

7=4y

7/4=y

Hope this helps!

Answer:

w≥31.25

Step-by-step explanation:

175+8w≥425

-175        -175

8w≥250

/8       /8

w≥31.25

Answer:

X is greater than or equal to 125/4

Step-by-step explanation:

Subtract 175 from both sides which will turn 425 into 250

Divide 8 from 8x to the other side to turn 250 into 125/4

In the end, you get X is greater or equal to 125/4

Answer:

4 pounds

Step-by-step explanation:

Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs

7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?

Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds

Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase

Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds

= 7/8 × 32/7

= 4 pounds

Therefore, Rebecca's suitcase weighs 4 pounds.

Answer:240 visitors are at the zoo

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."

9am-10am is 6 visitors

10am-11am is 6*3=18 visitors

11am-12pm is 18*3=54 visitors

Answer:20

Step-by-step explanation:

Answer:

199

Step-by-step explanation:

plug in x=19.6, then

g(19.6) = 10 * 19.6 +3= 199

Step-by-step explanation:

Using Difference of Squares,

16y⁴ - 256x¹²

= 16(y⁴ - 16x¹²)

= 16(y² + 4x⁶)(y² - 4x⁶)

= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).

Step-by-step explanation:

Answer:

1.5 minutes to fill a whole bottle.

Step-by-step explanation:

1. Based on the given information, set up a proportion;

Given;

1/6 of a bottle was filled in 1/4 minute

Equation;

1/6 : 1/4

2. Solve the equation;

1/6 : 1/4

Multiply both sides by 6, to make it such that the whole bottle is filled,

1/6 : 1/4

*6     *6

1 : 6/4

Simplify

1 : 3/2

1.5 minutes to fill a whole bottle.

Answer:

D

Step-by-step explanation:

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

        Sample                    Shut down         Mean

1. Taylor, Hurley                 4, 3                    3.5

2. Taylor, Gupta                 4, 5                    4.5

3. Taylor, Rousche             4,6                      5

4. Taylor, Huang                4, 3                    3.5

5. Hurley, Gupta                 3,5                       4

6. Hurley, Rousche             3,6                      4.5

7. Hurley, Huang                 3,3                       3

8. Gupta, Rousche              5,6                       5.5

9. Gupta, Huang                  5,3                       4

10. Rousche, Huang            6,3                      4.5  

                                                                        42

Now mean of sample means  [tex]$=\frac{42}{10}$[/tex]    = 4.2

Mean of population is = [tex]$\frac{4+3+5+6+3}{5}$[/tex]    = 4.2

Thus both the means are equal.

Answer:

huh can you put the whole question?

Step-by-step explanation:

Put all the answers

Step-by-step explanation:

Answer:

The answer is 0, hope this helps

Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

Divide both sides by 2

x = 10

y = 180 - (2x + 12) (linear pair theorem)

Plug in the value of x

y = 180 - (2(10) + 12)

y = 180 - (20 + 12)

y = 148°

Answer:

you didnt add the attachment

Answer: I got no clue brother.

Step-by-step explanation: Brother

Answer:

15 3/4

Step-by-step explanation:

this is simple addition and subtraction

hope that this answer helps you.

Answer:

25% off

Step-by-step explanation:

$32 is 100%. 8 dollars was taken away, and since 8 is 1/4 of 32, we can divide 100% by 4 to get 25%. 25% is $8

Answer:

25%

Step-by-step explanation:

24/32=0.75

100-0.75= 0.25

So 25% off.

Hope that helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

Answer:

98 its multiply by 2 then subtract

Answer:

16

Step-by-step explanation: (if its from left to right)

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 is 6/12. 6/12 is close to 5/12 than the others.

Answer:foooo

Step-by-step explanation:

Answer:

The correct answer is: Option D: 8

Step-by-step explanation:

Given that she spent $208 on the sewing machines

And

the equation for profits to break even is:

208 + 10x = 36x

In order to find the number of purses to break even, we have to find the value of x

So,

[tex]208+10x=36x[/tex]

Subtracting 10x from both sides

[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]

Dividing both sides by 26

[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]

The number of purses is 8

Hence,

The correct answer is: Option D: 8

Answer:

D is correct.

Step-by-step explanation:

Answer:

The first set, -2,0,2,3 are the domains of this relation.

Answer:

The correct answer is:

Option 1: -2,0,2,3

Step-by-step explanation:

When a relation is written in the form of ordered pairs.

In each ordered pair, the first element/coordinate is the input of the function and the second element//coordinate of ordered pair is the output.

The set of inputs is the domain of the relation.

Given relation is:

((-2,-2), (0, 2), (2, 4), (3, -6)).

The first element of each ordered pair is:

-2, 0, 2, 3

Hence,

The correct answer is:

Option 1: -2,0,2,3

Answer:

1.) x=2y-4

2.) x=2y-4 :)

Answer:

[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.