The table shows the height increases in inches, of some of the girls in Gina’s class from last month to this month. What girl had a height increase that was greater than 1/2 inch?

Answer:

$15+x

x in dollars

Step-by-step explanation:

Subscription per month=$15

Cost of each downloaded song per month=$15 + 1

If x number of songs are downloaded in a month

The cost of downloading x songs= $15 + x

Where,

$15 = fixed cost ( subscription)

x= variable cost( each unit of songs downloaded)

If 20 songs are downloaded in a month.

The cost of downloading the 20 songs

=$15+$20

=$35

Answer:

0.5346

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (89 − 100) / 15

z₁ = -0.73

z₂ = (111 − 100) / 15

z₂ = 0.73

Find the probability.

P(-0.73 < Z < 0.73)

= P(Z < 0.73) − P(Z < -0.73)

= 0.7673 − 0.2327

= 0.5346

angle HDG = angle HFE

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

Explanation:

We have the statement [tex]\triangle DHG \cong \triangle FHE[/tex] given to us. Note that "H" is in the middle for both sequences of three letters. For DHG, start at H and move back one space to get to D. Move back another unit to wrap around to G. So the new sequence is HDG which forms the first angle.

Follow the same pattern but for FHE now. Start at H, move backward one spot to F, then move back again to wrap around to E. We have HFE

This shows angle HDG pairs up with angle HFE. The corresponding angles are congruent due to CPCTC

CPCTC = corresponding parts of congruent triangles are congruent

Notice how angles HDG and HFE are alternate interior angles, which lead to showing DG is parallel to EF.

Answer:

Length of hypotenuse of given triangle

= sqrt(356)   (exact value)

= 18.87 (to 2 decimal places)

Step-by-step explanation:

Using the pythagorean Theorem,

The hypotenuse

c = sqrt(a^2+b^2)

= sqrt(16^2+10^2)

= sqrt(356)   (exact value)

= 18.87 (to 2 decimal places)

The length of the hypotenuse of the right triangle is approximately

18.9 cm.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (the base and the height in this case).

Plugging in the given values, we get:

c² = 16² + 10²

c² = 256 + 100

c² = 356

c ≈ 18.9

Rounding the answer to the nearest tenth of a centimeter, we get:

c ≈ 18.9 cm

Therefore,

The length of the hypotenuse of the right triangle is approximately

18.9 cm.

Learn more about the Pythagorean theorem here:

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Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

Answer:

$140

Step-by-step explanation:

1. Set up the equation

[tex]\frac{42}{x}[/tex] = [tex]\frac{30}{100}[/tex]

Percentage is out of 100 this equation says 42 of x number is equal to 30%.

2. Cross multiply

30x = 4200

3. Solve for x by dividing both sides by 30

x = 140

Answer:

10.5 cm^2

Step-by-step explanation:

Since we have two sides and the angle between those sides, we can use the alternative area formula:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

a and b are the two sides while C is the angle in between the two sides.

Plug in the numbers:

[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]

Recall the unit circle. Sin(150) is 1/2.

[tex]A=21(\frac{1}{2})[/tex]

[tex]A=21/2=10.5cm^2[/tex]

Answer:

6

Step-by-step explanation:

3(4-2)

PEMDAS says parentheses first

3 ( 2)

Then multiply

6

Answer:

Step-by-step explanation:

3(4 - 2)

Solve the terms in the bracket first

That's

4 - 2 = 2

So we have

3( 2) = 6

Hope this helps you

Answer:

$96.00

Step-by-step explanation:

Perimeter formula, 2w+2l

2(23)+2(25)=96 feet

1$ per foot

96 feet,

so $96

Answer:

I think it 96.00

Step-by-step explanation:

Answer:

The answer is 39 kg

Step-by-step explanation:

We are looking for the weight of box A so we will use the number given to use for Box A.

We also have the total which is 194/4 kg

If we divide 195 by 5 we will get 39 kg

But to check if your answer is correct also divide 195 by 41 and that will give us 4.75 kg

And if you add the two answers up your will get 43.75 kg

Now we need to find the weight of Box B to see if our answer is correct

When you subtract 43.75 from 195 you will get 151.25

When we will add 43.75 to 151.25 you will get 195

So the answer is correct, the answer is 39 Kg

Answer:

[tex] 162 cm^3 [/tex]

Step-by-step explanation:

Volume of a rectangular pyramid is given as = [tex] \frac{1}{3}lwh [/tex]

Where,

[tex] l = 9 cm [/tex]

[tex] w = 6 cm [/tex]

[tex] h = 9 cm [/tex]

Plug in the above values into the formula for volume of rectangular pyramid:

[tex] Volume = \frac{1}{3}*9*6*9 [/tex]

[tex] Volume = 3*6*9 [/tex]

[tex] Volume = 162 cm^3 [/tex]

Volume of the rectangular pyramid = [tex] 162 cm^3 [/tex]

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

[tex]\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7[/tex]

On simplifying both the expressions we get:

[tex]\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1[/tex]

Compute the value of both expressions for x = 2 as follows:

[tex]\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27[/tex]

The value of both expressions are same for x = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

Answer:

d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

substitute n=1 and n=3 in the given equation

1 st term is (1)^2-1-2 = 1 -1 -2 = -2

3rd term is (3)^2-3-2 = 9-3-2=4

sum of 1st and 3rd term is -2 + 4 = 2

Answer:

32.8 cm

Step-by-step explanation:

decagons have 10 sides, so 328/10=32.8

Answer:

32.8 cm

Step-by-step explanation:

A regular decagon has 10 equal sides.

The perimeter of the decagon is 328 centimeters. The perimeter is the measure of all 10 sides added together. Since this is a regular decagon, all 10 sides are equal. Therefore, we can divide 328 by 10.

328 / 10

32.8

Add units, in this case, centimeters or cm.

32.8 cm

Each side of the decagon is 32.8 centimeters.

Answer:

 x +   y = 29

5x + 2y = 100

Step-by-step explanation:

Has 29 problems

then

x + y = 29

x be the number of worth 5 points questions:

5x

y be the number of worth 2 points questions

2y

the total both worth is 100 points

then:

5x + 2y = 100

Answer:

x + y = 29          5x + 2y = 100

Answer:

answer in picture

Step-by-step explanation:

Step-by-step explanation:

The inequality is [tex]\frac{x}{-3}[/tex] >2

x is less than -6  and -6 is excluded so it will be represented by an empty circle and a line going toward negative values

so it's D

Answer:

a positive 1; negative 3 or 1

Step-by-step explanation:

To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.

The coefficients in f(x) are +1, +2, -3, -8, -4.

Since there is only one sign change from +2 to -3, we have 1 positive root.

To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4

The coefficients in f(-x) are +1, -2, -3, +8, -4.

Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1

So, the number roots are of positive 1; negative 3 or 1

Answer:

a.positive 1; negative 3 or 1

Step-by-step explanation:

EDGE 2020

Answer:

25.4 degrees

Step-by-step explanation:

Use the inverse sine function to calculate

Answer:

???????????????????

Step-by-step explanation:

Answer:

First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.

Step-by-step explanation: Sample Response on Edge

The estimation of the solution to the tenths place is given below.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

A graph of a system that has exactly one solution.

Now,

Let a solution of the graph of a system = (2.37, 1)

So, We can estimate the solution of the system to tenth place as;

⇒ 2.37 = 2.4 (round to tenth place)

Thus, The solution of the system to the tenths place will be;

⇒ (2.3 , 1)

Learn more about the rounding number visit:

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Answer:

A. How many times the ad appear:

= 400 times

B. How many hits the website must have for thread to appear 1000 times with 0.05 probability that an ad appears when the website is loaded.

= 20,000 hits

Step-by-step explanation:

A. The probability that an ad appears when a particular website is loaded = 0.2

When the website gets 2,000 hits a day, the ad appears

= 2,000 x 0.2

= 400 times

B. When the probability that an ad appears when the website is loaded is 0.05.

Therefore, the website must have 20,000 hits for thread to appear 1,000 times

= 1,000/0.05

= 20,000 times

The probability of an ad appearing when a website is loaded is the chance that the event happens (i.e. the ad appears) from the many events that can happen.

Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18

Step-by-step explanation:

cuz

Answer:

28>x

Step-by-step explanation:

7>x/4

remove the denominator by multiplying both sides by 4

4×7>x/4×4

28>x

Answer: 1 and 3/4 hours were spent rehearsing act 2.

Step-by-step explanation:

5 1/2 total hours spent rehearsing.

take the 3 3/4 hours from act 1.

Subtract 3 3/4 from 5 1/2 to get time spent for act 2.

5 1/2 - 3 3/4 = 7/4

7/4 = 1 3/4

Hope this helps

Answer:

1 3/4 hours

Step-by-step explanation:

Given the time taken to rehearse for act 1 and 2 of a school play to be 5 1/2 hours, if 3 3/4 were spent rehearsing act 1, the amount of time that will be spent in rehearsing act 2 can simply be gotten by taken the difference between the total time taken for both and time spent on act 1.

Mathematically, act1 + act 2 = 5 1/2 hours

If act 1 = 3 3/4 hours

act 2 =  5 1/2 hours - act 1

act 2 =  5 1/2 hours - 3 3/4 hours

Taking the difference between the two values;

= 5 1/2 - 3 3/4

= 11/2 - 15/4

= (22-15)/4

= 7/4 hours

The time taken for practising act 2 will be 1 3/4 hours

Answer:

The answer is 0.133

Step-by-step explanation:

All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.

Answer:

Hello! 2/3 divided by 5 in fraction will be 2/15

Step-by-step explanation:

Since we have a 5 we need to change that into a fraction

5 would turn into 1/5

Now you have to multiply both of the fractions to get your answer.

2/3 x 1/5

= 2/15

(So 2/15 will be your answer.)

Hope this helps! :)

Complete question is;

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy

material. The Height is 0.5 m and the

Base is 1 m.

What is the length of the pillow?

Give an exact answer (do not round)

Answer:

length of Pillow  = 1.4 m

Step-by-step explanation:

This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;

V = area of base x length = ½ × base × height × length

Thus;

Volume of Wedge = ½ × base × height × length

We are given;

base = 1 m

height = 0.5 m

Volume = 0.35m³

And we want to find the Length(L)

Thus;

½ × 0.5 × 1 × L  = 0.35

L/4 = 0.35

Multiply both sides by 4 to give;

L = 0.35 × 4

L = 1.4 m

length of Pillow  = 1.4 m

Answer:

1.4

Step-by-step explanation:

Khan

Hi!

This problem is the fifth in a series of seven about ratios. At first glance the problem may look to be beyond 6.RP.1, which limits itself to “describe a ratio relationship between two quantities. However, even though there are three quantities (the number of each candidates' votes), they are only considered two at a time.

In the first problem students define the simple ratios that exist among the three candidates. It opens an opportunity to introduce unit rates.

The subsequent problems are more complex. In the second problem, students apply their understanding of ratios to combine two pools of voters to determine a new ratio. In the third problem, students apply a known ratio to a new, larger pool of voters to determine the number of votes that would be garnered.

Solutions

Solution: Question #1

a. John's votes to Will's, 16 to 8, or 2 to 1. Marie's votes to Will's, 12 to 8, 3 to 2, or 32 to 1, the unit ratio. Marie's votes to John's, 12 to 16, 3 to 4, or 34 to 1, the unit ratio.

Solution: Question #2

2. Will now has 8 + 12 = 20 votes to John's 16 votes, so the ratio of Will's votes to John's votes is 20 : 16, 5 : 4, or 54 : 1, the unit ratio.

Solution: Question #3 - Computing votes

There are different ways to approach this problem, but both begin with the fact that Will gets votes in a 5 to 4 ratio compared with John and require recognizing that a 5 to 4 ratio means a total of 9 equal parts. Then it is straightforward to compute:

59×90=50 votes for Will

49×90=40 for John

50−40=10 more votes for Will.

Solution: Question #3 - Applying fractions

One can solve the problem by working fractions by recognizing that Will getting votes in a 5 to 4 ratio means a total of 9 equal parts. It follows that Will gets 59 of the 90 votes and John gets 49 of the 90 votes:

59−49=19 of the voters

19×90=10 more votes for Will

Solution: Question #3 - Equivalent Ratios

An alternate very basic solution to Question 3 involves creating a series of equivalent ratios. This approach may be selected by students who are still developing an understanding of proportional situations. Students may begin with the ratio of 5 to 4 and proceed to find a ratio such that the sum of numerator and denominator is 90. This sequence may appear as follows:

5/4 = 10/8 = 15/12 = 20/16 = 25/20 = 30/24 = 35/28 = 40/32 = 45/36 =50/40

Then 50 - 40 = 10 more votes for Will

Overall answer

10 more votes for will

Answer:

Step-by-step explanation:

m : n = 2 : 1

R (-3, 3 )  ;  x1 = -3 & y1 = 3

S(6 , -3)   ; x2 = 6 & y2 = -3

Formula for the point that divides a line m:n = [tex](\frac{mx_{2}+nx_{1}}{m+n} , \frac{my_{2}+ny_{1}}{m+n})[/tex]

[tex]Q(\frac{2*6+1*(-3)}{2+1}, \frac{2*-3 + 1*3}{2+1})\\\\\\Q(\frac{12-3}{3} , \frac{-6+3}{2+1})\\\\\\Q(\frac{9}{3} , \frac{-3}{3})\\\\[/tex]

=Q(3, -1)

Answer:

D.) (3,-1)

Step-by-step explanation:

I got it correct on founders edtell

Answer:

5inch

Step-by-step explanation:

15_10=5

because full length is 15 cm given on another side and length of some part of another side is. given.so we have to subtract it

Answer:

5 inches

Step-by-step explanation:

You can notice that the 15 in side is parallel to the 10 in side and the missing side

let x be the missing side

so x is 5 inches

Answer:

- 204

Step-by-step explanation:

2x = 60

x = 30

6 - 7(30) = -204

Answer:

-204

Step-by-step explanation:

Step 1- Solve for the value of x

2x = 60

Divide 60 by 2 so x is by its self

x = 30

Step 2- Plug in 30 for x in the second equation

6 - 7(30)

6 - 210

-204 is the answer