Simplify the expression.
14.5 – 3(-7.9+ 4.4 - 2.9) = 14.5 – 3

Answer:

Step-by-step explanation:

let x be the larger number

x + (4/5)x = 981

(9/5)x = 981

x = 981(5/9)

x = 545

(4/5)(545) = 436

The answer is D, 75°.

All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:

(x + 5) + (3x) + (3x) = 180

Combine like terms.

(x + 5) + (3x) + (3x) = 180

7x + 5 = 180

-5 -5

7x = 175

/7 /7

x = 25

Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]

Answer:

1.386 litres of water can the cylinder hold.

Step-by-step explanation:

For a given Cylinder

radius (r) = 7 cm

height (h) = 9 cm

π = 22/7

Now,

Volume of the Cylinder

V = πr²h

V = 22/7 × 7 × 7 × 9 cm

V = 22 × 7 × 9 cm

V = 2 × 11 × 63 cm

V = 2 × 693 cm

V = 1386 cm³

Now, Divide 1386 by 1000

1386/1000 = 1.386 litre water

Thus, 1.386 litres of water can the cylinder hold.

-TheUnknownScientist 72

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

Answer:

Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.

Step-by-step explanation:

You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296

Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:

J = M + 8

Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:

A = 2 * M

Now we can substitute these equations into the overall one.

M + (M + 8) + (2M) = 296

Now we can combine like terms and solve for M.

2M + 8 + 2M = 296

4M + 8 = 296

4M = 288

M = 72

We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.

J = M + 8

J = 72 + 8

J = 80

A = M * 2

A = 72 * 2

A = 144

So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.

The solution is Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of tickets sold by Mia , Jade and Amelia be M , J and A respectively

Total number of tickets = 296

So , M + J + A = 296   be equation (1)

Now , Jade sells 8 more tickets then Mia

So , J = M + 8   be equation (2)

Subtracting 8 on both sides , we get

M = J - 8   equation (3)

Now , Amelia sells twice as many tickets as Mia

So , A = 2M   be equation (4)

Substituting the value of J and A in equation (1) , we get

M + ( M + 8 ) + 2 M = 296

4M + 8 = 296

Subtracting 8 from both sides , we get

4M = 288

Divide by 4 on both sides , we get

M = 72

The number of tickets sold by Mia = 72

Substituting the value of M in equation (2) and equation (4) , we get

J = M + 8

J = 80

The number of tickets sold by Jade = 80

A = 2M

A = 144

The number of tickets sold by Amelia = 144

Hence , The number of tickets sold by Mia is 72 tickets, Jade is 80 tickets, and Amelia is 144 tickets

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

d. -4 -8 —> -4 + (-8)

Step-by-step explanation:

[tex] - 4 + ( - 8) \\ - 4 - 8[/tex]

[tex] - 4 - ( - 8) = - 4 + 8 \\ - 4 + ( - 8) = - 4 - 8[/tex]

I hope I helped you^_^

9514 1404 393

Answer:

  $9.86

Step-by-step explanation:

The numbers in your problem statement are somewhat garbled. We understand the problem to be ...

Given:

  earnings: $11.60 per hour

  1/10 of earnings donated

  8 1/2 hours worked

Find:

  the amount donated

Solution:

The amount donated will be the product of the given numbers:

  ($11.60 /hour)×(8.5 hours)×(1/10) = $9.86

Kendra donated $9.86 to the charity last week.

Answer:

The answer is 82.109 sec.

Step-by-step explanation:

Answer:

y= 8.5x - 10

Step-by-step explanation:

I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" is inversely proportiional to }x^3}{y = \cfrac{k}{x^3}}\qquad \textit{we also know that} \begin{cases} y = 44\\ x = a \end{cases} \\\\\\ 44 = \cfrac{k}{a^3}\implies 44a^3=k~\hfill \boxed{y=\cfrac{44a^3}{x^3}} \\\\\\ \textit{when x = 2a, what is "y"?}\qquad y = \cfrac{44a^3}{(2a)^3}\implies y = \cfrac{44a^3}{8a^3}\implies \blacktriangleright y = \cfrac{11}{2} \blacktriangleleft[/tex]

Hey there!

70 minutes

= 1 hour 10 minutes

2 hours

= 60 minutes * 2 minutes

= 60 minutes + 60 minutes

= 120 minutes

70/120

= 70 ÷ 10 / 120 ÷ 10

= 7 / 12

Therefore, your answer is: 7:12 OR 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

6

Step-by-step explanation:

5L - 0.5 = 4.5

Pam is putting 4.5L into bottles

4.5/0.75 = 6

0.75L = 1 bottle

x2

1.5L = 2 bottles

x3

4.5L = 6 bottles

Answer:

Step-by-step explanation:

U

Answer:

3

Step-by-step explanation:

[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]

Answer:

student a because the line has a negative slope not a positive slope

Step-by-step explanation:

Answer:

B=24

A= I don't know what that means

Step-by-step explanation:

The number of years it would take the amount to triple is 25 years.

The formula that would be used to determine the number of years it would take the balance to triple is:

FV = PV  x [tex]e^{r}[/tex]N

Where:

3 = [tex]e^{0.044}[/tex]N

Take the log of both sides

log(3) / log(e) /  (0.044) = 25 years

A similar question was answered here: https://brainly.com/question/7133042

Answer:

2/7=0.285714

Step-by-step explanation:

Answer:

5/36

Step-by-step explanation:

Answer:

the probability of getting a total greater than 8 is  10/36=5/18

Step-by-step explanation:

Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.

Therefore, the probability of getting a total greater than 8 is  10/36 which equals 5/18

Answer: 28 adults

Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28

Answer:

v=12

Step-by-step explanation:

  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -4*v-5-(-53)=0

Pull out like factors :

  -4v + 48  =   -4 • (v - 12)

 Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 Solve  :    v-12 = 0  

Add  12  to both sides of the equation :  

                     v = 12

To check yourself:

-4(12)-5 = -53

Answer: v = 12

Step-by-step explanation:

-4v - 5 = -53

add 5 to both sides

-4v = -48

divide both sides by -4

v=12

Answer:

yes because that are true

Answer:

what the first guy said

Step-by-step explanation:

keep adding by 2 and end up with 22

Hello there,

Hope you could get an idea from it.

Doubt clarification - use comment section.

Answer:

Pythagoras Theorem

Step-by-step explanation:

Answer:

so if I do b1+a1=c1 ok me done

Answer:

20 three-point scores

61/3=20 R1

Answer:

7

Step-by-step explanation:

61 divided by 8 = 7 remainder 5

you can do 7 3's and 7 5's which would make 7x3 = 21  +  7 x 5 = 35  21 + 35 = 56

61 - 56  = 5 (add 1 to the amount of 5's)

7 3's and 8 5's

Answer:

13,51,36.00

Step-by-step explanation: