Which are vertical angles?

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

Answer:

[tex]x_1 = 1[/tex]

[tex]x_2=0[/tex]

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

[tex]x_1 - x_2 = 1[/tex]

[tex]3x_1 + x_2 = 3[/tex]

Make xi the subject in the first equation

[tex]x_1 = 1 + x_2[/tex]

Substitute 1 + x2 for xi in the second equation

[tex]3(1+x_2)+x_2 = 3[/tex]

Open bracket

[tex]3+3x_2+x_2=3[/tex]

[tex]3+4x_2=3[/tex]

Collect Like Terms

[tex]4x_2 = 3-3[/tex]

[tex]4x_2 =0[/tex]

Solve for x2

[tex]x_2=0/4[/tex]

[tex]x_2=0[/tex]

Recall that:

[tex]x_1 = 1 + x_2[/tex]

[tex]x_1 = 1+0[/tex]

[tex]x_1 = 1[/tex]

Answer:

0.91924

Step-by-step explanation:

Given that :

A normal distribution has ;

Mean (m) = 109.0 inches

Standard deviation (σ) = 10 inches

Sample size (n) = 25

Probability that randomly picked years is less than 111.8 inches

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

x = score = 111.8 inches

Zscore = (111.8 - 109.0) / (10/√25)

Zscore = (2.8) / (10/5)

Zscore = 2.8 / 2

Zscore = 1.4

P(Z < 1.4) = 0.91924 ( using z probability calculator)

P(Z < 1.4) = 0.91924

Answer:

He has had a quarter of the red sweets (1/4)

Step-by-step explanation:

3/12 is 1/4 when simplified

Answer:

1/4 or 3/12

Step-by-step explanation:

There are 3 red sweets out of all the sweets (3/12).

A simplified version of 3/12 would be 1/4.

Answer:

inconsistent

Step-by-step explanation:

Answer:

inconsent

Step-by-step explanation:

Answer:

32 ft

Step-by-step explanation:

First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22

There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.

Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).

Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.

Hope this helped!

Answer:

3

All the steps are in the picture below.

Answer:

8u

3

+10u

2

y

−

˙

9u

2

y+11uy

2

+

˙

4uy

2

+8y

3

Answer:

[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]

Step-by-step explanation:

You must combine like terms:

[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]

Answer:

14

Step-by-step explanation:

cause both are congruent which means the same size if one has 14 why shouldnt the other too

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

9514 1404 393

Answer:

  f(-5) = -81

Step-by-step explanation:

Put -5 where x is and do the arithmetic.

  f(-5) = -(-5)^2 +10(-5) -6

  f(-5) = -25 -50 -6

  f(-5) = -81

Answer:

-81

Step-by-step explanation:

Answer:

the answer is four

Step-by-step explanation:

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

The position of z3 is (d) quadrant IV

The given parameters are:

[tex]\mathbf{z_1 = (4,-3)}[/tex]

[tex]\mathbf{z_2 = (-3,2)}[/tex]

The expression for z3 is given as:

[tex]\mathbf{z_3 = z_1 -z_2}[/tex]

So, we have:

[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]

This gives

[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]

[tex]\mathbf{z_3 = (7,-5)}[/tex]

When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.

Hence, the position of z3 is (d) quadrant IV

Read more about quadrants at:

https://brainly.com/question/20226319

Answer:

A

Step-by-step explanation:

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

Explanation:

x = number of people

Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.

Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.

Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.

Set this equal to 500 and solve for x

25x = 500

x = 500/25

x = 20

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

If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.

If 20 people go as one group, they pay 47x = 47*20 = 940 dollars

We have a savings of 1440-940 = 500 dollars. This confirms the answer.

All 20 people must go as one group if they want to save $500.

Answer:

its not zero i check and got in incorrect the correct answer is 1

Step-by-step explanation:

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

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

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

Answer:

b

Step-by-step explanation:

its b

i believe your answers would be

1/2c+7 and 2H-9

Answer:

10/3

3.333333

3  1/3

Step-by-step explanation:

hope this helps

Answer:

1 1/5 mile

Step-by-step explanation:

3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5

9514 1404 393

Answer:

  [0, 1]

Step-by-step explanation:

The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.

In interval form, the range of sin(x) is [0, 1].

Answer:

Angle=79°

Step-by-step explanation:

Hope it helps!

Answer:

37.50/5 = $7.50/week

so the difference is 8.25-7.50 = $0.75/week

Step-by-step explanation: