9/5 - (-6/10)
Khan academy needs either exact fraction or exact decimal

The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

Let the base price of the razor in some base period be [tex]C_0[/tex]  

Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]

Now for the year when CPI is 207, let the price of th razor be $x, then we get:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]

The difference between the two prices is:

[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]

Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

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Answer:

D

Step-by-step explanation:

Answer:

just trust yourself

Step-by-step explanation:

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

Answer:

the median is 55.6

Step-by-step explanation:

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  

=

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

Answer:

ok so we have to make it so we can get rid of one of the varibles by adding or subtracting

so lets multiply the first one by 4

120x+16y=4160

minus the second one so

108x=2160

divide by 108

x=20

then we just plug in

12(20)+16y=2000

240+16y=2000

-240

16y=1760

divide by 16

y=110

(20,110)

Hope This Helps!!!

Answer:

Step-by-step explanation:

16% of 250

250% of 16

Both outcomes are same so the answer is True

Let's check

16% of 250

250% of 16

Yes true

Step-by-step explanation:

mean = sum of all data points / number of data points

(22+16+18+14+16+34+20)/7 = 140/7 = 20

median is the number, where half of the data points are smaller, and the other half are larger.

first we need to sort the data points

14, 16, 16, 18, 20, 22, 34

median = 18

mode is the data point occurring most often.

mode = 16 (occurring 2 times, while the others occur only once).

range is the difference between the largest and the smallest data point.

range = 34 - 14 = 20

Answer:

about 3600

Step-by-step explanation:

eighteen thirds

two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{18}{3}[/tex]     [ also refereed as eighteen thirds ]

Answer:

[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]

↓ Second problem

[tex]11/27\\18/27\\11/3\\18/3[/tex]

                                          Hope it helps, be great!

An isosceles right triangle has two congruent angles and a right angle

It is true that the base angle of an isosceles right triangle is 45 degrees

From the question, we understand that:

Triangle type = isosceles right triangle

The sum of angles in a triangle is:

x + y + z = 180

Assume the triangle is right-angled at z.

So, we have;

z = 90

The equation becomes

x + y + 90 = 180

Subtract 90 from both sides

x + y = 90

The triangle is an isosceles triangle.

So, we have: x = y

The equation becomes

x + x = 90

2x = 90

Divide by 2

x = 45

Hence, it is true that the base angle of an isosceles right triangle is 45 degrees

Read more about isosceles right triangle at:

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Answer: 24/5=4.8  36/8=4.5

Step-by-step explanation: First, let's start off by dividing 24 by 5. We can turn this into 24.0 divided by 5 to make it a bit simpler. We know that 240 by 5 = 48, then since there is a decimal 1 digit to the left in 24.0, we apply that decimal 1 digit to the left in 48, making it 4.8! Now let's do 36 by 8. We can do what we did for problem 1 and turn 36 into 36.0, 360 by 8 = 45 and applying the same logic we used before, 360 turns into 36.0, and 45 turns into 4.5! Therefore, Kalel is wrong, and the two equation is not equal.

P.S. Using long division, Kalel is technically kind of right, but there's still that unaccounted for '4' that we still need to divide.

Answer:

-3/4 x -3

Step-by-step explanation:

Put all Answer choice on graph:

-3/4 x -3

-4/3 x - 3

-3/4 x -4

Base on the graphs below:

we can see that -3/4 x -3 is the best represents..

~Lenvy~

Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

Answer:

A. False

B. True

C. False

D. True

E. False

Answer:

huh

Step-by-step explanation:

[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]

Answer:

5

Step-by-step explanation:

plug 2 in for x

f(2) = 2(2) + 1

f(2) = 5 [Asnwer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

Step-by-step explanation:

a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.

b) Same logic, (1/6)^2 = 1/36

c) correct

d) 3

Answer:

8.28

Step-by-step explanation:

we can express this question as

12.25/1.7=x/1.15

this can be simplified to

x=8.28

The height of Naomi's school building is 8.29 meters

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

In the given question and attached figure we have,

Now we have to find the height(AB) of the building,

By the properties of similar triangles, we can write,

AB / BC = DE / CD

Putting all the values we get,

AB / 12.25 = 1.15 / 1.7

Simplifying we get,

AB = (1.15 / 1.7) × 12.25

By further simplifying,

AB = 8.29 meters

Therefore, the height of Naomi's school building is 8.29 meters.

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#SPJ2

Answer:

jade can by 5 pizzas

Step-by-step explanation:

Let width be x

according to question

length = 2x-4

perimeter = 58

now,

perimeter = 2(length + width)

58 = 2(x+2x-4)

58 = 6x-8

6x = 66

x = 11

putting value of x in length

2x-4

= 2 X 11 -5

= 18

hence the dimensions of the rectangle is 18 and 11

Step-by-step explanation:

let ratio be 4x and 3x

sum : 490$

4x+3x = 490

7x=490

x=490/7

Hence x = 70

first daughter gets = 4x =4 x 70 = 280

second daughter gets =3x = 3x 70 = 210

first daugter gets the larger share

Answer:

16 11/2

Step-by-step explanation:

ezz

Answer:

P = 48in

Step-by-step explanation:

P=4a=4·12=48in

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

I think the radius would be 13.9 ft

calculate the sides of the rectangle in scale factor model

Length: 18 * 1/4 = 4.5 feet

Width: 16 * 1/4 = 4 feet

Rectangle area in scale factor model:

Length * Width

4.5 * 4

18 feet²

Answer:

Given dimensions of a rectangular dining table:

If a scale factor of [tex]\dfrac14[/tex] is used, then we need to multiply each measurement by [tex]\dfrac14[/tex]:

[tex]\implies \textsf{width}=18 \times \dfrac14[/tex]

                [tex]=4.5 \textsf{ units}[/tex]

[tex]\implies \textsf{length}=16 \times \dfrac14[/tex]

                 [tex]=4 \textsf{ units}[/tex]

Therefore, the scale model of the dining room will be 4.5 by 4 units.

Equation in slope intercept form

Now