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Answer:

1 real solution: x=3

Step-by-step explanation:

By factoring:

x^2-6x+9=0

(x-3)^2=0

x-3=0

x=3

So yes there's 1 real solution which is x=3.

You can also check the discriminant:

b^2-4ac

(-6)^2-4(1)(9)

36-36

0

Since the discriminant is 0, there can only be 1 real solution.

Answer:

Below in bold.

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 8/21

= 0.380952

So m < x =  arccos 0.380952

= 67.607

= 68 degrees to nearest degree.

Answer:

100:60:80

Step-by-step explanation:

240÷12=20

20×5=100

20×3=60

20×4=80

Answer:

100: 60: 80

Step-by-step explanation:

5/(5+3+4) *240= 100

3/(5+3+4)* 240= 60

4/(5+3+4)* 240= 80

Answer:

The simplified ratio is 7:6

Step-by-step explanation:

First we have to find the GCF of both 154 and 132.  Since the GCF is 22, we will divide 154 by 22 and we get 7.  Now divide 132 by 22 and we get 6.  Therefore, the simplest form or the ratio 154:132 is 7:6.

Answer:

32

Step-by-step explanation:

Let the number of girls in the class be 3. Then the number of girls who study German is , as is

the number of boys who study German. So the number of girls who study French is 2 and the

number of boys who study French is 2 × 2 = 4.

Therefore the total number of boys and girls in the class is + + 2 + 4 = 8 and hence is a

multiple of 8. Of the options, only 32 is divisible by 8.

Answer:

40.35

Step-by-step explanation:

to find the amount without tax:

97 x .6 (60%) = 58.2 (the amount that will be taken off)

so 97 - 58.2 = 38.8 (the amount the pole will be WITHOUT tax)

to find the tax:

38.8 (sale price) x .04 (4 percent) = 1.552, rounded 1.55

to find full price:

38.8 (sale price) + 1.552 or 1.55 (tax) = 45.352 or 40.35

Answer:

Step-by-step explanation:

Total members in the choir = 24 + 36 = 60

a) Percentage of men = [tex]\frac{24}{60}*100[/tex]

                                 = 4 * 10  = 40%

b) Percentage of women = 60%

c) Number of men =24 + 10 = 34 men

Number of women = 36 + 10 = 46

Total = 34 + 46 = 80

Percentage of men = [tex]\frac{34}{80}*100= 42.5[/tex]%

Percentage of women = (100 - 42.5)% = 57.5%

Answer:

a]

% of men = 24/60 × 100

% of men = 4/10 × 100

% of men = 4 × 10

% of men = 40%

b]

% of women = 36/60 × 100

% of women = 6/10 × 100

% of women = 6 × 10

% of women = 60%

c]

Men = 24 + 10 = 34

Women = 36 + 10 = 46

Total = 34 + 46 = 80

% of men = 34/80 × 100 = 42.5

% of women = (100 - 42.5) = 57.5 %

[tex] \\ [/tex]

Answer:

Step-by-step explanation:

(h + 6) - 2    Here we find the sum of h and 6, and from that sum we subtract 2.

This simplifies to h + 4.

Answer:

h+4

Step-by-step explanation:

h+6-2=h+4

I think its option b c and e

Answer:

w = -12

Step-by-step explanation:

You basically have 90% of the question done. You just needed to divide -60 by 5 and then get -12.

Good Luck!!!!!

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

Explanation:

You're on the right track. You start off subtracting 35 from both sides, and then next divide both sides by 5. Your steps are 100% correct. The last thing to do is to simplify each side after what you wrote. The -60/5 on the left simplifies to -12, while the 5w/5 on the right simplifies to w. We end up with -12 = w and that's the same as w = -12.

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

To verify, replace every copy of 'w' with -12 in the original equation and simplify each side.

-25 = 35 + 5w

-25 = 35 + 5(-12)

-25 = 35 - 60

-25 = -25

We end up with the same thing on both sides, so the answer is confirmed.

Answer:

Base = 18 inches

Height = 54 inches

Step-by-step explanation:

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

The area of a parallelogram is given as:

Base × Height

Height = h = 3b

Area = 972 square inches

We substitute

972 = b × 3b

972 = 3b²

Divide both sides by 3.

b² = 972/3

b² = 324

b = √324

b = 18 inches

Solving for h

h = 3b

h = 3 × 18

h = 54 inches

Therefore,

Base = 18 inches

Height = 54 inches

Answer: 7w + 5h < 40

Step-by-step explanation:

7w + 5h < 40

Answer:

y = |x| is a parent function

y = |x| - 7 is a translation of the parent function vertically by 7 points down

The shape is same, just the entire graph has shifted down.

It's translated edition of parent function y=|x|

If we translate it 7units down then the function is

So

Everything is same

Just the graph shifted 7units downwards

Answer:

X= -1

Step-by-step explanation:

Answer:

x = -1 or D

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

In a pen there are 200 animals,

25 of which are ducks,

Number of turkeys

50% are turkeys

= 50% × 200

= 100 turkeys

and

Numbers of chickens

75% are chickens.

= 75% × 200

= 150

How many animals are ducks, turkeys and chickens?

Answer:

b

Step-by-step explanation:

Answer:

C 37.5%

Step-by-step explanation:

There are 3 planets closer to the sun than mars

3/8 = .375

Changing to a percent

37.5% are closer to the sun than mars

Answer:

x = 66

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 79 + 35 = 180

x + 114 = 180

x = 180 - 114

x = 66

Answer:

66°

Step-by-step explanation:

Since the sum off all the angles of a triangle is 180°,

x + 79° + 35° = 180°

x + 114° = 180°

x = 180° - 114° = 66°

Therefore, x = 66°

Answer:

B. 13

Step-by-step explanation:

Let's solve your equation step-by-step.

7√x−4−6=15

Step 1: Add 6 to both sides.

7√x−4−6+6=15+6

7√x−4=21

Step 2: Divide both sides by 7.

7√x−4

7

=

21

7

√x−4=3

Step 3: Solve Square Root.

√x−4=3

x−4=32(Square both sides)

x−4=9

x−4+4=9+4(Add 4 to both sides)

x=13

Answer:

x = 13

Step-by-step explanation:

[tex]7 \sqrt{x - 4} = 15 + 6 \\ 7 \sqrt{x - 4} = 21 \\ \sqrt{x - 4 =} = 3 \\ x - 4 = 9 \\ x = 13[/tex]

Answer:

I think it's 12 my bad if it's wrong

Answer:

D.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a positive number times a negative number is equal to a negative number.

Because all negative numbers have a value less than 0 the inequality sign must face towards the 0

The inequality sign also must be a < or > not a ≤ or ≥ as no positive number times -11 will equal 0

so the answer would be x < 0

C. 9 square roots of 2

To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:

Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by [tex]\sqrt{2}[/tex] will be 18. Knowing this, we can write out an equation:

u*[tex]\sqrt{2}[/tex] = 18

u = [tex]\frac{18}{\sqrt{2} }[/tex]

Multiply both sides by [tex]\sqrt{2}[/tex] in order to get rid of the root in the denominator:

u = [tex]\frac{18*\sqrt{2}}{\sqrt{2} * \sqrt{2}}[/tex]

u = [tex]\frac{18*\sqrt{2} }{2}[/tex]

u = 9[tex]\sqrt{2}[/tex]

If you'd like me to explain how I got to the answer any further, just ask!

- breezyツ