ZA=
Round your answer to the nearest hundredth.
С
5
B
7
?
А

Answer:

K, (-3.5,-5), E, (3.5, 3)

Step-by-step explanation:

Answer:

22/24

Step-by-step explanation:

Answer:

[tex]x\leq 15.5[/tex]

Step-by-step explanation:

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Answer:

To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25

0.10(21) + 0.05n = 5.25

2.10 + 0.05n = 5.25

0.05n = 3.15

n = 3.15 / 0.05

n = 315 / 5

n = 63

Sonji has 63 nickels.

Let's check our answer.

21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25

It seems that our answer is correct.

Step-by-step explanation:

Answer:

she has 63 nickels

Step-by-step explanation:

21 dimes = 2.10$

5.25 - 2.10 = 3.15

3.15 ÷ 0.05 = 63

63 = 63 nickles

Hope this helped :3

Answer:

The third one

Step-by-step explanation:

The equation for a circle is [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

(h, k) is the center

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

Answer:

False

Step-by-step explanation:

3/4 = 9/16

Multiply the left side by 4/4 to get a common denominator

3/4*4/4 = 12/16

This is not equal to 9/16 so this is not a proportional relationship

Answer:

False

Step-by-step explanation:

3 times 3 is 9, so if this is a proportional relationship between the two fractions than 4 times 3 will be 12.

Since it is a 16 rather than a 12 you know that this cannot be right. Whatever you do to the top you have to do to the bottom, and in this case. That's just not happening.

Answer: x = 13

Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.

So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

The +14 -14 cancels out so we're left with x on the left.

On the right, we must subtract 14 from 27 to get 13.

So we have x = 13 which is the solution to this equation.

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]

Answer:

[tex]r = 16[/tex], [tex]s = -48[/tex]

Step-by-step explanation:

The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:

[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]

[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]

By comparing each expression, the results are presented below:

[tex]r = 16[/tex], [tex]s = -48[/tex]

Answer:

$5,368,709.12

Step-by-step explanation:

Kono Dio Da!!

Answer:

5368709.12

Step-by-step explanation:

i just did this earlier

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.

Answer:

1.975 pints of white paint

Step-by-step explanation:

Let blue paint represents by 'b' and white paint represents by 'w'.

Then according to the question

b + w = 7.9 pints .......(1)

Amount of blue paint = [tex]\frac{3}{4}[/tex] of the total amount

                                   = [tex]\frac{3}{4}\times 7.9[/tex]

                                   = 5.925 pints

Hence the amount of blue paint is 5.925 pints.

Now putting the value of 'b' in equation (1)

5.925 + w = 7.9

w = 7.9 - 5.925

w = 1.975 pints

Cathy used 1.975 pints of white paint to paint her bedroom.

Answer:

Length of arc S:

L = radius x angle (in rad) = 5 x 0.4 = 2

Hope this helps!

:)

Answer: 5/11

Step-by-step explanation:

There are 11 options, and 5 of them give the outcome you want.

5/11

Answer:

predicted value = 19.04518

Residual = -0.04518

Step-by-step explanation:

Residual = y - predicted y

In this case y = 19 for a 7 year old tree.

f(7) = 19.04518

Residual = 19 - 19.04518

Residual = -0.04518

Answer:

16.0 (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

55°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (35 + 90) = angle B

180 - (125) = angle B

55 = angle B

So, angle B has a measurement of 55°

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]

Now, we have:

[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]

We want to combine like terms, which means combining all the terms with y in them:

[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

~ an aesthetics lover

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

Answer:

y=0.5x-2

Step-by-step explanation:

8y=4x-32/2

First thing you are going to do is solve for 32/2=16 and then enter it into the equation.

8y=4x-16

Second thing you are going to do is divide everything by 8 to get rid of 8y.

8y=4x-16

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

   8

4/8=0.5 and 16/8=2

y=0.5x-2

Answer:

11.2467

Step-by-step explanation:

First we need to find the mean

Add up all the data and divide by number of points)

(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30

261/10

26.1

Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points

((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30

11.2467

Answer:

11 16/75

Step-by-step explanation:

Find the mean: sum/n

783/30

26.1

Find individual |x - 26.1| and add them:

|6-26.1| + |7-26.1| + ...... + |50-26.1|

= 20.1 + 19.1 + .... + 23.9

= 336.4

M.A.D = 336.4/30

11 16/75

Answer:

y= - 3/2x + 1

480 miles = 7 1/2 hours

y miles = 12 hours

(cross multiply)

answer: 1645.7 miles

Answer:

$58.415

Step-by-step explanation:

Initial value: 50 dollars

Independent variable: 5.3%

Dependent variable: Y

This equation can be written in slope intercept form:

[tex]y=mx+b[/tex]

[tex]y= 1.53x+50[/tex]

x= the number of years

[tex]y= 1.53(5.5)+50[/tex]

[tex]y=8.415+ 50[/tex]

[tex]y= 58.415[/tex]

Answer:

40 students per bus

Step-by-step explanation:

147 (Og #)-27(Number riding cars, irrelevant)=120

120/3 (# of buses)= 40 students per bus

Answer:

40 students

Step-by-step explanation:

First, let’s find how many students rode the buses.

There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.

The difference between 147 and 27 will be how many took buses.

Subtract 27 from 147

147-27=120

120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.

120/3=40

Therefore, 40 students were on each bus.

Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.

SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.

For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:

Slope of KL:

slope = [tex]\frac{y_{K} - y_{L} }{x_{K} - x_{L} }[/tex]

slope = [tex]\frac{3-1}{2-4}[/tex]

slope = -1

Slope of MN:

slope = [tex]\frac{y_{N} - y_{M} }{x_{N} - x_{M} }[/tex]

slope = [tex]\frac{1-5}{7-3}[/tex]

slope = -1

Since the slopes of KL and MN are the same and the angle is congruent, we can conclude that ΔJKL~ΔJMN.