The function f (x) varies directly with x and f (x) = 160 when x = 40.
What is f () when x = 8?
2
32
5
20

Answer:

(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1

Substracting both

[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]

Putting in eq(2)

[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]

[tex]\\ \sf\Rrightarrow -4y=16[/tex]

[tex]\\ \sf\Rrightarrow y=-4[/tex]

Hence our solution is

Answer:

5 / 12

11 / 36

Step-by-step explanation:

The sample space for 2 dice = 6² = 36

Number of outcomes where sum is less than 7 = 15

Probability = required outcome / Total possible outcomes

P(obtaining a sum less Than 7) = 15 / 36 = 5/12

Number of outcomes where Sum of individual outcome is less than 20 = 11

P(sum of individual outcome less than 20) = 11/ 36

Answer:

Graph has the greater unit rate.

Step-by-step explanation:

From the graph attached,

Since, graph shows the proportional relationship,

y ∝ x

y = kx

Here, k = unit rate

If the line given in the graph passes through (0.2, 1.5)

Slope of this line will be,

k = [tex]\frac{1.5}{0.2}[/tex]

k = 7.5

Therefore, unit rate = 7.5

Equation of the line given in the question is,

[tex]y=\frac{11}{2}x+3[/tex]

Comparing this equation with the y-intercept form of the equation,

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

Slope of this line 'm' = [tex]\frac{11}{2}[/tex]

                                  = 5.5

Unit rate of the given equation = 5.5

Therefore, graph has the greater unit rate.

Answer:

speed = 54.5 miles/hr

Step-by-step explanation:

speed = distance/time

distaance = 735.75

time = 7 + 6.5 = 13.5

speed = 735.75 / 13.5

speed = 54.5 miles/hr

Answer:

There is none there is no variable.

Step-by-step explanation:

Hope this helps!!

Answer:

there is no co efficient a co efficient is the constant before the variable when its attached.

Answer:  $18.19.

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

Answer:

300 I think

Step-by-step explanation:

V=1/3 Bh

B=10*9=90

90*10=900         1/3 of 900= 300

Answer: 45 people

Step-by-step explanation:

Data: $50 to rent the Skate Center

$5.50 for each person who attends

Limit of spending: $300

How many people can attend=x

Step one, Make the equation

$5.50x+$50=$300

Reason: Since we know that amount of people(x) multiplied by $5.50 added to $50 will get us $300, we can make an equation from that. The equation will make the problem simpler to solve.

Step two, Start isolating x by subtracting $50 on both sides

$5.50x+$50-50=$300-50=$5.50x=$250

Reason: Since we have to find x, we have to isolate it. The first step in doing that is subtracting $50 by 50 to get rid of it. However, since what you do to one side, you do to the other, you have to subtract $300 by 50 to get $250.

Step three, Divide by 5.50 on both sides

$5.50x/5.50=$250/5.50=x=45.454545454-

Reason: Since we have to isolate x and 5..50 is being multiplied by x, you have to divide it by 5.50 to get rid of 5.50. What you do to one side, you do to the other so you divide 250/5.50 to get 45.4545454545-.

Since this is a irl problem, you have to round it to 45 people

Answer: 45 people

I hope this helps!

Answer:

1/12

Step-by-step explanation:

[tex] \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12} [/tex]

Answer:

D is the correct answer.......

Answer: 3. 1/3 + 1/4

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

4/12 + 3/12 = 7/12

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

Answer:

x = 4

∠R = 71°

Step-by-step explanation:

COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.

[tex]31 - 3x + 19x - 5 = 90[/tex]

To make this problem easier to solve, we can combine like terms.

[tex]26 + 16x = 90.[/tex]

Now, we can proceed.

First, subtract 26 from 26 and 90.

[tex]26 - 26 = 0.[/tex] (cancels itself out).

[tex]90 - 26 = 64.\\[/tex]

Now, we are left with 16x = 64.

Lastly, we divide the number in front of the variable by the answer.

[tex]64/16 = 4[/tex]

Therefore, the value of x is 4.

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

Now that we have the value of x, we can use this value to replace the variable (x).

[tex]19x - 5[/tex]

[tex]19 * 4 - 5 = 71.[/tex]

Therefore, the value of ∠R is 71°.

Answer:  1 & 3/4

We can write this as [tex]1 \frac{3}{4}[/tex]

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

Explanation

Consider this: You have 7 donuts and 4 friends you want to split the donuts with. The question is, how many donuts does each of your friends get?

The number 7 isn't a multiple of 4, meaning 7/4 won't result in a whole number. If you had one more donut, then 8/4 = 2 is a whole number. So that must mean everyone only gets one whole donut plus some leftover amount.

If those 4 friends get 1 whole donut each, then 4*1 = 4 donuts are passed out and 7-4 = 3 are left over. The "1" forms the whole part of the mixed number, while the '3' is the numerator of the fraction. The denominator stays the same at 4.

So we go from the improper fraction 7/4 to the mixed number 1 & 3/4. Each person gets 1 whole donut and then 3/4 of a whole donut

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

We can write the mixed number 1 & 3/4 as [tex]1 \frac{3}{4}[/tex]. Keep in mind that this expression does not mean 1 times 3/4. Instead, it really is saying 1 + (3/4).

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:

need help too

Step-by-step explanation:

Answer:

5.13 feet...take the horizontal component using given data..

Answer:

$92

Step-by-step explanation:

Find the profit by plugging in 10 as c and 7 as p into the expression:

5c + 6p

5(10) + 6(7)

50 + 42

= 92

So, the bakery will make $92

9514 1404 393

Answer:

  900

Step-by-step explanation:

Let x represent the number. The given relationship is ...

  (3/5)x = 2 +(2/3)x

  -2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides

  -30 = x . . . . . . . . . . multiply by 15

Then the square of the number is ...

  x² = (-30)² = 900

[tex]x = \frac{10}{\sqrt{2}}\\\\y = 5[/tex]

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

Answer:

c = (d/a) - b

Step-by-step explanation:

a(c + b) = d

Divide both sides by a

c + b = d/a

subtract b from both sides

c = (d/a) - b

Step-by-step explanation:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

Answer:

10(x+10)(127)

=1270x+12700

The given expression gives [x] as 2.7.

We have the following equation -

10(x + 10) = 127

Given is -

10(x + 10) = 127

x + 10 = 12.7

x = 12.7 - 10

x = 2.7

Therefore, the given expression gives [x] as 2.7.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

[tex]\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}[/tex]

Important Formulas

[tex]\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}[/tex]

Therefore, from the integral, apply the properties above:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Hence, the solution is:—

[tex]\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Answer:

June - August

Step-by-step explanation:

First count all of the Temperature values!

1. 40 + 45 + 58 + 69 + 78 + 88 + 92 + 90 + 82 + 70 + 57 + 45 = 814

2. now divided by the amount of months!

3. the average answer is 66 and 67!

Mmm, I'm stuck in this point! Just try June - August

But this is how you can find the average with a graph!

Answer:

Answer C

Step-by-step explanation:

Answer:

answer c

Step-by-step explanation:

trust me