6) write 36 + 60 as a product using the gcf as one of the factors.
36 + 60 =
?
?
+ ?

Answer:

  ∠B = 40°

Step-by-step explanation:

The given angle relations can be expressed in two equations.

__

  A + B = 90° . . . . . . . . angles are complementary

  A×(1 -20%) = B . . . . . B is 20% smaller

__

Using the second equation to substitute for B in the first equation, we get ...

  A + 0.80A = 90° . . . . . . substitute for B

  A = 90°/1.8 = 50° . . . . . collect terms, divide by the coefficient of A

  B = A(0.80) = 40° . . . . find B from A

The measure of angle B is 40°.

Answer:

3 = 3/4

but 3/4= 0.75

3 = 0.75

x = 25

cross multiply

0.75x = 75

divide both sides by 0.75

x = 100

therefore 25miles represent 100inch on a map

Answer:

ans willbe -8

Step-by-step explanation:

-1/2 × 2 =-1

-1×2=-2

-2×2=-4

-4×2=-8

Answer:

34000

Step-by-step explanation:

Answer:

48 in

Step-by-step explanation:

1ft=12in so 12in x 4ft= 48 in

Answer:

302

Step-by-step explanation:

The farthest from a normal distribution is,

e) 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given are 4 data sets.

And, We have to check which is farthest from normal distribution.

We know that a normal distribution is bell shaped with mean = median = mode.  

Also 99% lie within 3 std deviations from the mean.

Here, This data set has a bimodal distribution with two distinct peaks, which is not characteristic of a normal distribution.

And, The other data sets have a unimodal distribution with a more symmetrical shape, which is closer to a normal distribution.

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Answer:2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

Step-by-step explanation:

2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

Answer:

Christine has $18, Kareem has $23, and Trey has $92.

Step-by-step explanation:

This can be solved by using variables to represent the unkown values.

x = Christine's money

x + 5 = Kareem's money.

4(x + 5) = Trey's money.

x + (x + 5) + 4(x + 5) = 133

2x + 5 + 4x + 20 = 133

6x = 108

x = $18

This means that Christine has $18, Kareem has $23, and Trey has $92.

Hope this helps

Answer: Heyaa!

The Answer is 2x+2

Step-by-step explanation:

Simplify the expression.

hopefully this helps you !

- Matthew ~

answer is in the attachment hope it helps you ^_^

The equivalent expression of the given expression 50 - 10 - 15 will be 50 + (- 10) + (- 15). Then the correct option is C.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

→ 50 - 10 - 15

Then the expression can be written as

→ 50 + (- 10) + (- 15)

Thus, the correct option is C.

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Answer:

D. x=12

Step-by-step explanation: quick maths

Answer:

890.625

Step-by-step explanation:

2.5x2.5x2.5 (Volume of Cube)=15.625

Density is 57

57=x/15.625

890.625=x

Answer:

Maya is correct. She wrote equivalent fractions with the same denominator and then correctly compared the fractions. Aimee wrote equivalent fractions with the same numerator but did not correctly compare the fractions. Only Maya is correct.

When you're comparing fractions, you have to set them equal to the same denominator, not the same numerator.

Hope this helps

Step-by-step explanation:

Rhombus since the other 3 have lines that go accross the graph horizontally for 3 squares.

Answer:

357.46 meters squared

Step-by-step explanation:

16 x 12.2 x 1/2 = 97.6

12.2 x 10.6 = 64.66

97.6 x 3 = 292.8

292.8 + 64.66 = 357.46

Answer:

figure: parallelogram

area formula: base× height

A=bh

A= 13×6

A=78

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.: AD=BC

DC=AB

Answer

f(x) = -9 cos((12(pi) / 7)x) -11

The base equation for a cosine graph is

f(x) = a cos(b(x-c))+d

a = amplitude

b = period

c = phase shift

d = vertical shift

if there's a reflection over the x-axis then there is a negative sign in front of the amplitude

I wrote the equation previously but it got deleted so let me know if you have any problems with this explanation

Container A:

diameter- 7 cm

height- 122 cm

radius- 3.5 cm

SA=2×π×r×r+2×π×r×h

SA=2(3.14)(3.5)(3.5)+2(3.14)(3.5)(122)

SA=76.93+2681.56

SA=2758.49 cm^2

diameter- 11 cm

height- 85 cm

radius- 5.5 cm

SA=2×π×r×r+2×π×r×h

SA=2(3.14)(5.5)(5.5)+2(3.14)(5.5)(85)

SA=189.97+2935.90

SA=3125.87 cm^2

Answer:

10 + 7 + 4 + . . .; n = 5​

The series is arithmetic

Common difference between terms = (-3)

10 - 3 = 7

7 - 3 = 4

Or:

10 + (-3) = 7

7 + (-3) = 4

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

Another example:

Arithmetic:

5, 9, 13, 17

common difference = 4

5 + 4 = 9

9 + 4 = 13

Geometric:

4, 8, 16, 32

4 × 2 = 8

8 × 2 = 16

16 × 2 = 32

common ratio = 2

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

10 + 7 + 4 + . . .; n = 5​

a₁ = 10

a₂ = 7

a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1     (d = common difference)

a₅ = a₄ - 3 = 1 - 3 = -2

Or with formula:

[tex]d=a_{n} -a_{n-1}[/tex]

d = a₂ - a₁ = 7 - 10 = -3

aₙ = a₁ + (n - 1)d

fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1

fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2

Sum of the finite series (if n = 5):

[tex]S_{n} =\frac{n(a_{1} +a_{n} )}{2} \\S_{5} =\frac{5(a_{1} +a_{5} )}{2} \\S_{5} =\frac{5(10 +(-2) )}{2} \\S_{5} =\frac{5(8 )}{2} =\frac{40}{2} =20[/tex]

Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20

Step-by-step explanation:

future value of annuity after 1 year is:

$122× $4.0909=$499.089

=$499.09

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

" The mean of the following data is 509. {419, 450, 462, 499, 520, 521, 589, 612} "

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

First, divide the mean (or average) by the population size (amount of numbers in the set).

509 / 8 = 51.5

There you go! Your absolute deviation.

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

Good luck!

~pinetreee

The mean absolute deviation for the data set is 51.5.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that;

Mean= 59

{419,450,462,499,520,521,589,612}

Now,

Count the number of data values in the set. In this case, n = 8.

Subtract the mean from each data value and take the absolute value. For example:

∣419−509∣=90

∣450−509∣=59

∣462−509∣=47

∣499−509∣=10

∣520−509∣=11

∣521−509∣=12

∣589−509∣=80

∣612−509∣=103

Add up all the absolute differences and divide by n. For example:

MAD=890+59+47+10+11+12+80+103​

MAD=412​/8

MAD=51.5

Therefore, by mean the answer will be 51.5.

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Answer:

Nearly the answer is 15 cm

because answer is in decimals

An expression is defined as a set of numbers, variables, and mathematical operations. The sum of the two polynomial expressions (x² - 5x + 3) + (2x² - 3x - 7) is (3x² - 8x - 4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The sum of the two polynomial expressions are:

(x² - 5x + 3) + (2x² - 3x - 7)

= x² - 5x + 3 + 2x² - 3x - 7

= 3x² - 8x - 4

Hence, The sum of the two polynomial expressions (x² - 5x + 3) + (2x² - 3x - 7) is (3x² - 8x - 4).

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Answer:

yk

Step-by-step explanation:

The group that had the highest percentage of students that like Sports is  group B.

The group that had the less percentage of students that like English is group A.

the percentage of students like Math in group A is 30% and 10% in group B

A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

Percentage of students that like sports in:

Percentage of students that like English in:

Percentage of students that like Maths in:

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