Which of the following is equivalent to (3a + 5b) + 7c?

3a + (5b + 7c)
3a(5b + 7c)
7c(5b + 3a)
8ab + 7c

Answer:

18 cm

Step-by-step explanation:

Range = Largest Number - Smallest Number

We know the following from the original data set:

Largest Number = 32 cm

Smallest Number = 3 cm

Original Range = 32 cm - 3 cm = 29 cm

The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:

Largest Number = 32 cm (Doesn't change)

Smallest Number = 21 cm

New Range = 32 cm - 21 cm = 11 cm

We can compare the two ranges by subtracting the larger range from the smaller range:

Range Difference = 29 cm - 11 cm = 18 cm

Therefore, the range decreases by 18 cm when we remove the outlier.

Answer:

Answer 2 1/7 +3/7(3x-5)= -4

            2 1/7 + 9/7x-15/7= -4

           0+ 9/7x = -4

               x= -28/9

Step-by-step explanation:

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

6.25years

Step-by-step explanation:

2000*4% = 80

500/80 = 6.25

6 years and 3 months

Answer:angels

Step-by-step explanation:bea

Answer:

-2.04

Step-by-step explanation:

it'll be

-1.34 - 0.7 = y

- 2.04 = y

The solution to the system of equation is (7/5, 22/5)

Given the system of equation as shown below;

4x + y = 10 * 2

3x - 2y = 13 * 1

_____________

8x + 2y = 20

3x - 2y = 13

Subtract

8x - 3x = 20 - 13

5x = 7

x = 7/5

Substitute the value of x into any of the equation

4x + y = 10

4(7/5) + y = 10

28/5 + y = 10

y = 10 - 28/5

y = 22/5

Hence the solution to the system of equation is (7/5, 22/5)

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Answer:

a good estimation is 190

Step-by-step explanation:

(2x25)+(3x12)+(7x8)+(9x5)=187

187 rounds to 190

Answer: (a) 0-2 (b) 3.2

Step-by-step explanation:

modal = the number that appears the most

mean = average

(a) modal class interval: 0 - 2

(b) first, find the mean of each class interval (number of letters delivered):

1, 3.5, 6 and 9

1 x 25 = 25

3.5 x 12 = 42

6 x 8 = 48

9 x 5 =45

25 + 42 + 48 + 45 = 160

number of houses:

25 + 12 + 8 + 5 =50

mean:

160 / 50 = 3.2

The form of a periodic function is H(t) = 20cos(π/12(t+12))+ 60.

What do periodic functions mean?

A function that periodically returns to the same value. Despite the similarity in sound between periodic motion and oscillatory motion, not all periodic motions are oscillatory motion.

Since the values of H oscillates between two values, then the choices of the function are either sine or cosine. However, since the variable measures the time from 4 AM, and 4 AM represents the trough of the oscillation, then cosine is the more appropriate choice. Recall the form of a periodic function

y =A cos(B(x +C))+D

It is given that the peak of desert temperature is at 80F, and the lowest is 40F. Note that the distance between the two temperatures is

80F − 40F =40F

Since the amplitude is the distance from the middle line to either peak or trough, then it is half the distance from the trough to the peak. Hence

A = 40/2= 20

Notice that one full oscillation occurs after one day or 24 hours. Hence the period is

B =2π/24 = π/12

The graph of the cosine function begins at the peak, whereas the function needs to begin at the trough, since the variable t represents the number of hours after 4 AM. Thus, the graph must be shifted horizontally to the left one half-cycle, which is

C = 12

Since the original cosine function has the centerline at x= 0  the centerline of the function must be shifted by the number of units corresponding to the midway point of the peak and the trough. Hence

D= 80 + 40/2 = 120/2 = 60

ubstituting

A =20, B = π/12. C= 12 , and  D= 60 into

The form of a periodic function

                    H(t) = 20cos(π/12(t+12))+ 60

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Answer:

$1.20

Step-by-step explanation:

if the donuts normally cost 12 dollars, but they are on on sale for 10% off, then all you have to do is divide 12 by 10.

12 ÷ 10 = 1.2

since we are working with money, we need to add a 0 at the end to make it 1.20, since you need 100 cents to make a dollar.

another way you could write the equation is,

10% × 12 = 1.2

1.2 = 1.20

hence, the sale price for the donuts is $1.20

Step-by-step explanation:

Hope it helps!

You can just try out all the answers but I'll give you a solution.

We will expand out the middle term to 5x^2 - 30x - 6x + 36, then we group the first 2 terms together, and the last 2 terms together.

= 5x (x - 6) - 6(x - 6)

And we put x-6 out : (x-6)(5x-6) = 0

Now, we can just set the value of one bracket to 0 and find out the value of x, and do the same for the other one

x - 6 = 0 -> x = 6
5x - 6 = 0 -> x = 6/5

Because 6 is not a possible option, the answer is x = 1.2

The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)

Recall that volume is

V = πr²h

Given:

h = 5 feet

r = 2/2 = 1

Hence

V = 5 x 1 x 22/7

= 15.7142857143

Hence, the cylinders volume in cubic feet is given as:

[tex]$\approx$[/tex] 15.7 ft

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Answer: 15.7 ft3

Step-by-step explanation:

I believe the answer is 200.

Answer:

1. = 96

2. = -158

Step-by-step explanation:

When you multiply two negatives the answer is positive, and when you multiply one negative and one positive the answer is negative

Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2

(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°

Option C) is correct that is the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is

x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

The two terms that we have been given are x³ + 2x – 1 and x⁴ – x³ + 3

To find the product of these two terms we will multiply term by term that is

(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x³( x⁴ – x³ + 3) + 2x( x⁴ – x³ + 3) - 1( x⁴ – x³ + 3)

                                  =x⁷ – x⁶ + 3x³ + 2x⁵ – 2x⁴ + 6x -  x⁴ + x³ – 3

(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

Hence the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is

x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

That is option C) is correct

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64.71% percent of the data values are greater than 80.

What is the percentage?

Min. value = 30

Max. value  = 85

Percentage (%) of data values greater than 30(thirty) = [tex]\frac{55}{85} X 100[/tex]

                                              = 64.71%

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The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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Answer:

total inner angle of quadrilateral is 360 so

66 is remaining angle.

Please mark me as brainlist answer.

You has promised. Don't broke promise that you will give brainlist answer.

Answer:

The sum of the interior angle of a quadrilateral is given by the formula

(n-2)×180°

n represent the number of sides

(4-2)×180°

2×180°

=360°

then equate the angle to 360°

Answer:

50 69 600 5.2 2

Step-by-step explanation:

this is because this is simple interest i=pxrxt

The two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).

We are given a point:

( - 24 , 3 )

We need to find a point on the y - axis, that is 25 units away from the axis.

The coordinate of the point will be:

(0, y)

So, by using the distance formula, we get that:

D = √ ( y₂ - y₁)² + ( x₂ - x₁)²

25 = √ ( y + 3)² + (0 + 24)²

625 = y² + 9 - 6 y + 576

625 = y² - 6 y + 585

y² - 6 y - 40 = 0

y² - 10 y + 4 y - 40 = 0

y ( y - 10 ) + 4 ( y - 10 ) = 0

(y - 10)(y + 4) = 0

y = - 4 or y = 10.

So, the two points will be:

(0, 10) and (0, - 4)

Therefore, we get that, the two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).

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Answer: Is 86 your welcome have a nice labor day

Step-by-step explanation:

The number of yards of fence it will take to enclose the square garden is 48 feet.

It is given in the question that a square garden has an area of 144 square feet.

We have to find the number of yards of fence it will take to enclose the garden.

Let the length of side of the square garden be x feet.

We know that,

Area of a square = [tex]side^2[/tex]

Hence,

According to the data given in the question, we can write,

144 = [tex]side^{2}[/tex]

We know that,

144 = [tex]12^2[/tex]

Hence,

[tex]12^2=side^2[/tex]

Hence,

Side = 12 feet

We know that,

Number of yards of fence it will take to enclose the  square garden = perimeter of the square garden.

Hence,

Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.

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Answer:

12, 20, 5, 30, 10, 14, 10, 20, 10, 16

Step-by-step explanation:

1.) 21-9=12

2.)35-15=20

3.) 30-25=5

4.) 40-10=30

5.) 30-20=10

11.) 34-20=14

12.) 22-12=10

13.) 30-10=20

14.) 19-9=10

15.) 28-12=16

Answer:

Yes

Step-by-step explanation:

This function is called a discrete function since the function isn't continuous like a line but consists of individual points.

Also, the points in the function don't share the same x-coordinate, so the function passes the vertical line test.

Answer:

the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps