This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{d + 7c}\\\large\textsf{= 4 + 7(6)}\\\large\textsf{= 4 + 7 + 7 + 7 + 7 + 7 + 7}\\\large\textsf{= 4 + 14 + 14 + 14}\\\large\textsf{= 4 + 28 + 14}\\\large\textsf{= 4 + 42}\\\large\textsf{= 46}\\\\\large\textsf{Therefore, your answer should be: 46 }\large\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{\star \ Amphitrite1040:) \ \heartsuit}[/tex]

Answer:

x + 2/x = 9/2

multiply through by x

x2 + 2 = (9/2)x

multiply through by 2

2x2 + 4 = 9x

2x2 - 9x + 4 = 0

We can factor by grouping.  2(4) = 8 ...

taken from coefficient of square term and the constant ...

Factors of 8 that add to -9 are (-8)(-1):

Replace -9x with -8x - x

2x2 - 8x - x + 4 = 0

(2x2 - 8x) - (x - 4) = 0

2x(x - 4) - (x-4) = 0

(2x-1)(x-4) = 0

2x-1 = 0 and x = 1/2

OR

x-4 = 0 and x = 4

Your two answers are {1/2, 4}

Answer:

use symbolab, it helps explain your math problems step by step.

Step-by-step explanation:

Answer:

60m

Step-by-step explanation:

To find the area of the triangle you multiply the base by height and divide by two, but we don’t know the base of the triangle!

Luckily, the bottom of the triangle is a rectangle. Rectangles are symmetrical, and the other side of the rectangle is 8.

So, the base of the triangle is 8.

Now let’s find the area of the triangle:

8 x 5 = 40

40/2 = 20

20 is the area of the triangle

Now, we must find the area of the rectangle!

The formula for rectangle area is just width x length:

8 x 5 = 40

Add them together:

40 + 20 = 60

Therefore, the area is 60m.

Answer:

75

Step-by-step explanation:

angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal

Answer:

t = 0.05 / 0.017

Step-by-step explanation:

Given the table :

Variable ____ Estimate

Intercept 1 ____ 15.5 ____2.96

Temp 1 _______0.05 ___ 0.017

R-sq = 0.73

The test statistic for a regression test :

t = b1 / E

Where ;

b1 = slope ; E = Standard error of the slope

From the result table ;

b1 = 0.05 ;

E = 0.017

The test statistic, t = 0.05 / 0.017

The appropriate test statistic for the test is t = 0.05 / 0.017.

Since

Variable ____ Estimate

Intercept 1 ____ 15.5 ____2.96

Temp 1 _______0.05 ___ 0.017

R-sq = 0.73

So here the test statistic should be

t = b1 / E

here,

b1 = slope ;

E = Standard error of the slope

So,

The test statistic, t = 0.05 / 0.017

learn more about random here: https://brainly.com/question/24172316

Answer:

12:16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

Answer:

6:8, 9:12, or 12: 16

Step-by-step explanation:

don't know how many you need but hope this helps! :))

9514 1404 393

Answer:

  108 ft²

Step-by-step explanation:

When x=6, the length is 6+6 = 12 ft, and the width is 6+3 = 9 ft. The area is given by ...

  A = LW

  A = (12 ft)(9 ft) = 108 ft²

The area of Cameron's garden is 108 ft².

Answer:

we need more info

Step-by-step explanation:

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

Answer:

I know what the answer is if you be more clear. Is 108 the diameter?

Answer: the amount of money after the purchase depends on the amount of money before the purchase

Step-by-step explanation:

Answer: 238

Step-by-step explanation:

I hope this helps you

Hi there!

[tex]\large\boxed{100^{o}}[/tex]

∠C = 40° and triangle ABC is isosceles, therefore:

∠C = ∠A = 40°

Angles in a triangle sum up to 180°, so:

180 = 40 + 40 + ∠A

180 = 80 + ∠A

100 = ∠A

Thus, arc CB has a measure of 100°.

Answer:

I'm not exactly sure what this is asking, so i'm going to answer each part

A. 44%
B. 27%
C. 11.88% (assuming independence)

D. 61.36%

Step-by-step explanation:

Honestly I'm not really sure what he's asking but for A and B the answer is in the question. For C i assumed independence and multiplied the respective probabilities. For D I divided .27/.66 since it is a dependency probability

The probabilities of the events are

a. 0.44

b. 0.27

c. 0.1188

d. 0.2444.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Statistics classes require a statistical calculator = 44% = 0.44

Statistics classes require a computer that has statistical software = 27% = 0.27

Of the classes that require a statistical calculator, classes also require the use of a computer = 15% = 0.15

a. P(Statistical Calculator) = 0.44

b. P(Statistical Software) = 0.27

c. P(Require a Statistical Calculator and Statistical Software) = [tex](0.44)(0.27)[/tex]

⇒ [tex]0.1188[/tex]

d. P(Require a Statistical Calculator GIVEN Require Statistical Software)

⇒ [tex]\frac{0.066}{0.27}[/tex]

⇒ [tex]0.244[/tex]

Hence we can conclude that the probabilities of the events are

a. 0.44

b. 0.27

c. 0.1188

d. 0.2444.

Learn more about probability here

https://brainly.com/question/19130157

#SPJ2

Answer:

It is a vector space

Step-by-step explanation:

The  set of all continuous functions C[0,1 ] defined on the interval [0,1] is a  vector space

as proven below ( attached below is a required proof that it is a vector space )

The set checks out for additivity, scalar multiplication and associativity hence it is a vector space

Answer:

Step-by-step explanation:

Answer:

6x^2-x-1

Step-by-step explanation:

Use the FOIL method.

Answer:

6

Step-by-step explanation:

30 ÷ 5 = 6

Answer:

6

Step-by-step explanation:

it is 6

Answer:

i) 12 believe neither of these things.

ii) 3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Step-by-step explanation:

I'm going to solve these question treating these events as Venn sets.

I am going to say that:

Event A: Voting is a waste of time.

Event B: They have been abducated by space aliens.

45 believe that Voting is a waste of time

This means that [tex]A = 45[/tex]

49 believe that they have been abducted by space aliens

This means that [tex]B = 49[/tex]

42 believe both of these things

This means that [tex]A \cap B = 42[/tex]

i). How many believe neither of these things?

Total of 64.

At least one is:

[tex]A \cup B = A + B - A \cap B[/tex]

With the values we have

[tex]A \cup B = 45 + 49 - 42 = 52[/tex]

None:

[tex]64 - 52 = 12[/tex]

12 believe neither of these things.

ii). How many believe Voting is a waste of time but don't believe that they have been abducted by space aliens?​

This is:

[tex]A - B = A - (A \cap B) = 45 - 42 = 3[/tex]

3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Answer:

8x5−3

Step-by-step explanation:

Answer:

Blank = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

blank = x

[tex]x-\frac{1}{2} =\frac{1}{6} \\\\x=\frac{1}{6} +\frac{1}{2} \\\\x=\frac{1}{6} +\frac{3}{6} \\\\x=\frac{4}{6} \\\\x=\frac{2}{3}[/tex]

Answer: 1.9x2.8 + 3.2+2.8 = 14.28

HOPE THIS HELPS

Answer:

rhombus and parallelogram .

Step-by-step explanation: