Evaluate In 7 (alg 2)

Answer:

We have a quotient between a 2 digit number and a 4 digit number.

The usual rule for this type of problems is:

If the denominator has n more digits than the numerator, then the first digit will be in the nth position at the right of the decimal point.

If also, the denominator is larger than the numerator times 10^n, then the decimal will be moved another place to the right.

For example, if we divide 10 by 100 we have:

10/100

The denominator has one more digit than the numerator, then n = 1.

this means that the first digit of the quotient, will be on the first place at the left of the decimal point.

We can solve the quotient to get:

10/100 = 0.1

And, as we predicted, the first decimal is in the first place.

Now, with our quotient we have:

32/8032

n = 2.

and:

32*10^n = 3200

The denominator is larger than this, then we will move the first decimal to another place to the right.

Then we should expect to have the first decimal in the third place after the decimal point.

We can solve the quotient to get:

32/8032 = 0.0039

As we expected.

Answer:

2.23%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = < 64 inches

μ is the population mean = 69

σ is the population standard deviation = 2.5

Since: Participants must be less than 64 inches tall.

For x < 64 inches

z = 64 - 69/2.5

z = -2

Probability value from Z-Table:

P(x<64) = 0.02275

Converting to percentage

= 0.02275 × 100

= 2.275%

Approximately = 2.23%

Because participants must be less than 64 inches tall to participate in this limbo contest, the percent of adult American males thag could enter this contest is 2.23%

Answer:

2.23

Step-by-step explanation:

Answer:

half a carton

Step-by-step explanation:

1/6 x 3/1 = 3/6 or 1/2

you could also add 1/6 + 1/6 + 1/6

Answer:

The initial cost of the cell phone was $364

Step-by-step explanation:

Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364

Answer:

9 blue marbles

Step-by-step explanation:

4 : 3 ratio

12 : x

12 / 4 = 3

4 × 3 : 3 × 3

12 : 9

Answer:

They are SAS congruent.

Step-by-step explanation:

Dilation because it could become bigger or smaller so it would be similar but not congruent.

Answer:

The third piece must be 14.4 inches

Step-by-step explanation:

We use the triangle inequality theorem to get the third side

using the theorem, it must be that the sum of the two will be greater than the length of the third side

Hence we have it that;

a + b > c

6.5 + 8.1 > c

14.6 > c

So what this mean is that the third length is less than 14.6

the reasonable answer out of the options is thus 14.4 inches

reason for this is that the last two options will also not follow the inequality theorem

Answer:

U(0, -1)

Step-by-step explanation:

I took S(3, 4) and T(6, 2) and saw that x increased by 3 and y decreased by 2. So I applied that logic to R(-3, 1) to find point U.

Answer: -1

Step-by-step explanation: First, factor out 3.6. You should get -m+3. Since the coefficient is just the number being multiplied to the variable (which is m here), your coefficient should be -1 because m is being multiplied to -1 to make -m. Hope this helps!

HEY THERE!!!!

The correct answer is 34°

They are supplementary angles (connect with a straight line) which means that their angles add up to 180° so:

180 = x + 156

34 = x

HOPE IT HELPS AND WOW I MADE IT LOL

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−

5

5

=3

4x+−1=3

4x−1=3

Step 2: Add 1 to both sides.

4x−1+1=3+1

4x=4

Step 3: Divide both sides by 4.

4x

4

=

4

4

x=1

Answer:

Step-by-step explanation:

1. 7.2

2. 0.8

3. -0.8

4. -7.2

These are the answers i got, come back if they are still wrong.

Answer:

Step-by-step explanation:

`) y=500-10x

y is how much water is left in the tub

the 500 is how many gallons of water is already in the tub

-10x is how much water is drained every minute

2) plug in 16.5

y=500-10*16.5

y=500-165

y=335

335 gallons left

3) make y 0 because that represents how many gallons are in the tub

0=500-10x

-500=-10x

/-10

x=50

50 minutes

Answer:D

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

5/2x = 1

2/5 x 5/2x = 1 x 2/5

x = 2/5

Answer:

x = 2/5

Explanation:

Step 1: Multiply both sides by 2/5.

(2/5) * (5/2x) = (2/5) * (1)

x = 2/5

Answer:

337.5

Step-by-step explanation:

50÷2 = 25

75÷2 = 25

13.5×25 = 337.5

The missing value in the ratio table is 337.5.

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given data:

Cost (dollars) 2, 3, 13.5

Time (minutes) 50, 75

The ratio of cost: time  = 2 / 50 = 0.04

The ratio of cost: time = 3 / 75 = 0.04

Hence,

Ratio = cost / time

0.04 = 13.5 / t

t = 337.5

Therefore, the missing value in the ratio table is 337.5.

To know more about Ratios:

https://brainly.com/question/13419413

#SPJ2

Answer:

to fight against, counter, or resist strongly. to be hostile or antagonistic to; be against. to place or set in opposition; contrast or counterbalance. to place opposite or facing. to be or act in opposition

Answer:

Opposition (noun) The apparent relative of 2 celestial bodies when one is at angle of 180 degrees from the other as seen from the earth

Answer:

42.86

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

First, we turn it into a fraction:

18/42

Simplify:

3/7 = 42.86 (rounded)

So 18 is 42.86% of 42

Answer:

turn them into equivalent fractions with a common denominator.

2/9 and 5/6 common denominator that we can use is 18.

what you do to the denominator must be done to the numerator.

so to get from 9 to 18 we multiply by 2. this needs to be done to the numerator.

2 X 2 = 4 the fraction should now be 4/18

to get from 6 to 18 we multiply by 3 again do same to numerator. should now be 15/18

now compare the two

4/18 and 15/18. now we know that 5/6 is bigger than 2/9.

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.

Answer:

Step-by-step explanation:

Answer:

you need a dotted point starting at 3 and going to to the right

Step-by-step explanation:

the dotted point means x < , x > and since it is greater you always go to the right

Answer:

The two triangles are similar by SAS postulate of similarity ⇒ A

Step-by-step explanation:

Let us revise the cases of similarity

In the given figure

∵ There are 2 triangles

∵ The ratio between 2 corresponding sides in the Δs is [tex]\frac{28}{40}[/tex]

∵  [tex]\frac{28}{40}[/tex] = 0.7

∵ The ratio between the other 2 corresponding sides in the Δs is [tex]\frac{42}{60}[/tex]

∵  [tex]\frac{42}{60}[/tex] = 0.7

→ That means 2 sets of corresponding sides have an equal ratio

∴ The 2 sets of corresponding sides are proportional

→ By using the parallel sides

∵ There are two parallel sides

∴ The angles between the sides 28, 42, and the sides 40, 60 equal

   because they are corresponding angles

∴ The included angles are equal in measures

→ By using case 4 above

∴ The two triangles are similar by SAS postulate of similarity