There is a competition at the local movie theater for free movie tickets. You must guess
all four employees' ages given a few clues. The first clue is that when added together,
their ages total 106 years. Kirk is twice ten years less than the manager's age, Brian is 12
years younger than twice the manager's age, and Matt is 6 years older than half the
manager's age. What are all four of their ages? It may help to set up four let statements,
one for each employee (including the manager).

Answer:

1) If the measure of an angle is 30°, then it is a right angle

2) The hypothesis = The measure of an angle is 30°

The conclusion = It is a right angle

3) The statement is false

Step-by-step explanation:

1) The information given is that an angle is a right angle if it measures 30°

The statement in the if-then form can be presented as follows;

If the measure of an angle is 30°, then it is a right angle

2) The hypothesis = The measure of an angle is 30°

The conclusion = It is a right angle

3) Given that a right angle measures 90°, the compound statement; "If the measure of an angle is 30°, then it is a right angle" is false.

Answer:

the answe is 80!

Step-by-step explanation:

It is 80! Hope it helps

Answer:

Anton's bill including tax =$7.95 , out of this 6% is sales tax. This implies 94%(100−6) of total bill accounts for cooler alone.

Step-by-step explanation: looked it up!

Answer:

Step-by-step explanation:

a) 32.5/40

= 32.5/40 * 100%

= 81.25%

~81%

b) 31.5/40

= 31.5/40 * 100%

= 78.75%

~79%

c) 29.5/35

= 29.5/35 * 100%

= 84.3%

~84%

d) 26/35

26/35 * 100%

= 74.3%

~74%

e) 24/35

24/35 * 100%

= 68.6%

~69%

Answer:

See below ~

Step-by-step explanation:

a) 32.5/40

b) 31.5/40

c) 29.5/35

d) 26/35

e) 24/35

Answer:

Your Answer is below.

Step-by-step explanation:

Okay so, can setup a proportion.

0.72 km = 0.01 L

x km = 1 L

So, solve for x

x = 0.72 km x 1 L / 0.01 L = 72 km

Step-by-step explanation:

100 % = 100000(1). x % = 20000(2). Therefore, 20000 is 20 % of 100000.

Answer:

1 = B

2( right of 1)= A

3= C

and 4=D

Bro. you r asking so many problem in the same time!

Answer:

5

Step-by-step explanation:

If you input 5 you get 7

Answer:  5

Step-by-step explanation:

f(x) usually means the y-value or output of the functions.

It can find the x value through the graph. When y is 7, you can see that x is 5 (See the image).

Hello

60 %  are girls

40 % are boys

40 % = 50 boys

60 % =  75 girls

75 + 50 =  125

Step-by-step explanation:

Let number of students be X

Percentage of boys=100-60=40%

No of boys= 40% of X

50= 40×X/100

X= 50 × 100/40

X =125 total number of students

Answer:

Plus 2 (+2)

Step-by-step explanation:

The rate of change is always a constant change from the given first term to the next one. In this case, you are adding 2 each time:

3 + 2 = 5

5 + 2 = 7

7 + 2 = 9

etc.

~

Change means difference in the state or condition of a thing and here the thing is number. The change made within them must be following some certain rules or patterns.

They can be uniform and here it is uniform for sure. The terms are increasing by 2 or we can say that for getting th next number, we need to add 2 with the previous.

So, the rate of change for the above numbers or number series is +2 or addition of 2[tex].[/tex]

Carry On Learning !

Answer:

1/3

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, if the slope of line b is 1/3, the slope of line a is also 1/3

Answer:

yes i can help you

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

$1050

Step-by-step explanation:

6.25 x 24 = 150

150 x 7 = 1050

Answer: The answer is $1050

Step-by-step explanation: You why? Because 6.25 x 24 = 150 150 x 7 = 1050 so it's $1050

Answer:

$0.65

Step-by-step explanation:

$0.40 + $0.25 = $0.65

Answer:

0.40p+0.25a=cost

Step-by-step explanation:

Considering that every apple costs 25 cents and every pear costs 40 cents, you would multiply how many apples and or pears there are by how much they are worth and then add it to get the total cost. Due to there not being a specific total or how many apples and/or pears there are, it currently can't be solved.

This is a right triangle. Use the Pythagorean theorem to solve:

x^2 + 5.8^2 = 15.6^2

x^2 + 33.64 = 243.36

Subtract 33.64 from both sides:

x^2 = 209.72

Take the square root of both sides:

x = 14.48171

Round to 1 decimal place:

x = 14.5 in.

Answer:

x = 14.5 in

Step-by-step explanation:

There is something called pythagoras' theorem. It states that

a^2 + b^2 = c^2,

a, b and c being sides of a right-angled triangle.

C is always the hypotenuse and a and b are any of the other two.

(The hypotenuse is always the longest side, and always opposite to the right angle, which is always the biggest angle of a right-angled triangle.)

So here we know two sides, the hypotenuse and another side. Let's substitute them into the formula:

5.8^2 + x^2 = 15.6^2

x^2 = 15.6^2 - 5.8^2

x^2 = 243.36 - 33.64

x^2 = 209.72

x = sqr209.72

x = 7sqr107/5 = 14.48171261 in

= 14.5 in (if rounded to 3 significant figures)

You could use a shortcut to do all this and find the answer more quickly:

a^2 = c^2 - b^2 or b^2 = c^2 - a^2

also:

a = sqr(c^2 - b^2)

x = Sqr(15.6^2 - 5.8^2)

= 14.5 in

Answer:

The answer is A

Step-by-step explanation:

You are not changing -14 into 14, you are just simply saying that you are adding more negative to -14, so instead of saying minus 6, you are saying adding -6. you are still going down on a number line either way.

Answer:

m = 5

n = 5

Step-by-step explanation:

Note that the ∑ of the interior angles of a triangle = 180°.

A square for one of the angles constitute as 90°.

This means that this is a isosceles triangle.

Note that for isosceles triangles, the sides will follow the rule of 1 , 1 , √2, in which √2 is the hypotenuse.

The hypotenuse is the side opposite of the greatest angle measurement. It is given that the hypotenuse for the given triangle is 5√2. Divide √2 from the given measurement to get the measurements for the legs:

[tex]\frac{5\sqrt{2} }{\sqrt{2} } = 5[/tex]

Again, as it is a isosceles triangle, the two sides will share the same measurement.

m = 5

n = 5

~

Answer:

she'll have 8 plates with 7 spring rolls and 9 plates with 9 cheese cubes.

Step-by-step explanation:

Step-by-step explanation:

Standard form is when the degree is in decreasing order

Second polynomial has the first term with highest exponent and second term with second highest exponent and so on

Answer: 28

Step-by-step explanation:

Given: First group received 28 baseball cards and second group received 84 baseball cards.

Total cards= 28+84 =112

If each person entering the stadium received the same number , the  greatest number of baseballs cards they could have received = G.C.D. (28,84,112)

[G.C.D. = greatest common divisor]

Since the prime factorization of 28 , 84 and 112 are as follows

28 = 2 x 2 x7

84 = 2 x 2 x 3 x 7

112 = 2 x 2 x 2 x 2 x 7

G.C.D (28, 84, 112 )= 2 x 2 x7 = 28

The greatest number of baseballs cards they could have received = 28

(2x+1)(x+6)(x-4)= 2x³+ax²+bx-24

(2x²+x+12x+6)(x-4) = 2x³+ax²+bx-24

2x³+x²+12x²+6x-8x²-4x-48x-24 = 2x³+ax²+bx-24

2x³+x²+12x²+6x-8x²-4x-48x-24- 2x³-ax²+bx-24=0

5x²-46x-ax²+bx-48=0

-ax²+5x²+bx-46x-48=0

Answer:

she should multiply the cost of the meal by 1.17

Step-by-step explanation:

because 1 is the cost of the meal and 0.17 is the tip percent (hope this helps)

Answer:

$13.25

Step-by-step explanation:

100% = $53

÷ 4 both sides to get to 25%

25% = $13.25

Answer:

The two scores are statistically the same

Step-by-step explanation:

Step-by-step explanation:

First of all, [tex]\frac{-1}{-2}[/tex] is equal to [tex]\frac{1}{2}[/tex] because a negative divided by a negative is positive. So now we've got [tex]2a^\frac{1}{2}[/tex]. Well, a fractional exponent, when simplified, is a root. For example, [tex]x^\frac{1}{3}[/tex] is equal to [tex]\sqrt[3]{x}[/tex], and [tex]x^\frac{2}{5}[/tex] is equal to [tex]\sqrt[5]{x^2}[/tex].

Now this is where people make mistakes. Remember, [tex]2a^\frac{1}{2}[/tex] is really [tex]2*a^\frac{1}{2}[/tex], which means only a is raised to the exponent. We would only raise 2a to the power of [tex]\frac{1}{2}[/tex] if our term was [tex](2a)^\frac{1}{2}[/tex]. But since our term is [tex]2*a^\frac{1}{2}[/tex] we raise a to the power of [tex]\frac{1}{2}[/tex] which is the same as [tex]\sqrt[2]{a}[/tex] or just [tex]\sqrt{a}[/tex]. Then we multiply that result by 2 and we have [tex]2\sqrt{a}[/tex] which is fully simplified.

Answer:

x=31

Step-by-step explanation:

x=180-149

x=31

Answer:

0.3907.

Step-by-step explanation:

Using trigonometric identities, we can write cos 23° in terms of sin 23° as, cos(23°) = √(1 - sin²(23°)). Here, the value of sin 23° is equal to 0.3907.

Answer:

what does international employment mean ? explain its important in any four points

Answer: 6(1+2x)

Step-by-step explanation:

Factor out the six

Answer:

6

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation: