The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:

The number of students who chose Basketball is three times the number of students who chose Other.

Ten more students chose Football than chose Hockey.

The percent of students who chose Basketball plus the percent of students who chose Football equal 65.

What percent of the students chose Basketball?

Answer:

4800

3. Alexander is taking 15 credit-hours this semester at college. The

relationship between tuition and credit hours is shown by the graph below.

What is the constant of proportionality?

A. 15

B. 400

C. 800

D. 6000

4400

4000

3600

3200

2800

2400

2000

Tuition

1600

1200

800

400

2

3

S

4

Credit Hours

7

&

9

Step-by-step explanation:

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

Or

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

A = 180-90-31

A = 59

Answer: 59

Answer:

Step-by-step explanation:

See attachment.

Answer:

A - 144

Step-by-step explanation:

everything else would be too far

3. The original sequence

TAC - CGC - TTA - CGT - CTG - ATC - GCT

codes for

tyr - arg - leu - arg - leu - ile - ala

while the mutated sequence codes for

TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala

There are several frameshift mutations involved here:

• the first inserts 6 bases (TTA - TTA)

• the second inserts 1 base (G) before the CTG triplet (underlined)

• the third inserts 2 bases (CT) after the CTG triplet

4. The original sequence is the same as before. The mutated sequence

TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

codes for

tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala

Then

• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)

• there is a frameshift mutation that inserts 3 bases (TTA)

as well as two other frameshift mutations that also occurred in the previous part.

Answer:

4

Step-by-step explanation:

4 sets of strings will cost:

4×5=20

He will have $2 left over. Not enough to buy another set.

Or 5x<=22 DIVIDE BOTH SIDES BY 5

x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets

Answer:

1. The cost of the fencing material for each side of the playground.

2. The perimeter of the park

3. The labor fee

4. The cost of the fencing material for the whole park.

Step-by-step explanation:

Hope this helps! :)

Answer:

  x +2y +4z = 27

Step-by-step explanation:

The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...

  x +2y +4z = constant

This equation is satisfied for every point on the line, so we have ...

  (3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z

  3 +2t +2t +24 -4t = constant

  27 = constant

The equation of the desired plane is ...

  x +2y +4z = 27

The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.

When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).

Then the equation of the plane is given by

(2, 4, 8) • (x - 3, y - 0, z - 6) = 0

2 (x - 3) + 4y + 8 (z - 6) = 0

2x + 4y + 8z = 54

or

x + 2y + 4z = 27

Step-by-step explanation:

it is 50 km in total.

30 km are already covered by the initial rental amount (4000).

what is left is 50-30 = 20 km.

for these 20 km he has to pay 200 for every 5 km.

how many 5 km units are in 20 km ?

well, 20/5 = 4

so, he needs to pay additionally 200×4 = 800php.

therefore, the total cost will be

4000 + 800 = 4800php

Answer: 34/100

Step-by-step explanation:

it is 34% out of 100, so it is 34/100. Reduced is 17/50

t = total amount of lbs of Tropical dried fruit

m = total amount of lbs of mixed bag

[tex]\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}[/tex]

how many 2/3 are in 9/8?

or another way to put it will be

how many times does 2/3 go into 9/8?

well, is simply a division.

[tex]\cfrac{9}{8}\div \cfrac{2}{3}\implies \cfrac{9}{8}\cdot \cfrac{3}{2}[/tex]

Answer:

Its either A or C

Step-by-step explanation:

Answer: 3000 square feet

Step-by-step explanation: 21x10=210 .     300x10=3000

If any doubt leave a comment

Answers:

[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]

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

Explanation:

We multiply each coordinate of each point by the scale factor 4.5

For example, point L(1,0) moves to L ' (4.5, 0)  since 4.5*1 = 4.5

This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.

Answer: It is tho ?

Step-by-step explanation:

Answer:

multiply by 2

Step-by-step explanation:

Answer:

( 2 x 10 ) + ( 2 x 7)

Step-by-step explanation:

Hope this helped!

Answer: 34 inches  Perimeter = 2L + 2W

Step-by-step explanation:

A rectangle has two sets of equal side lengths.    We'll assign 10 inches to the length, L, and 7 inches to the width, W.

The perimeter of a rectangle is 2L + 2W

Perimeter, P = 2(10) + 2*(7)

P = 20 + 14

P = 34 inches

Answer: is c. 1/25

the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong

The value of the function f(2) is -10.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:

So,

f(-2) = 5(-2) = -10

Therefore,

The value of the function f(2) is -10.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

x=28°

Step-by-step explanation:

supplementary angles equal 180°

So:

3x+2x+x+12=180°

6x+12=180

6x=168

x=28°

Therefore:

3x:

3(28)=84°

2x:

2(28)=26°

x+12:

28+12=40°

Answer:

132

Step-by-step explanation:

step one: add all the numbers in the data set.

      107 + 122 + 148 + 135 + 126 + 154

                                         = 792

step two: divide the sum by the how many numbers are in the data set

      792/6 = 132

the mean number of strawberries collected each day is 132 strawberries.

hope this helps!<3

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

Answer:

No

Step-by-step explanation:

In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.

In the first equation, replace x with 2 and y with 1.

8x+7y

= 11

8(2)+7(1)

≟ 11

16+7

≟ 11

23

≟ 11

No, 23≠11.

Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.

Answer:

x = -5

Step-by-step explanation:

log5((5-3x)/((7+x)^2))=1

(5-3x)/(7+x)^2 = 5

5-3x = 5x^2+70x+245

5x^2+73x+240=0

x= -5, x= -48/5

-48/5 is extraneous

x = -5

Answer:

x = -8

Step-by-step explanation:

Angle 2 would be the same as 139

thus if angle 2 = x+147

then

139 = x + 147

x = -8