(06.06 MC)

A student attempted to generate an equivalent expression using the distributive property, as shown below:

3(p − 4) = 3p − 4

What was the mistake made? (1 point)
a


3 was not multiplied by p
b


3 was not multiplied by −4
c


Incorrect sign was used for the first term
d


Incorrect sign was used for the second term

20 POINTS HELP ASAP

Answer:

The cost of one student ticket = $6

Step-by-step explanation:

They were charged for three student tickets and two adult tickets.

Let the cost of one student ticket = a

Let the cost of one Adult ticket = b

If a student ticket costs 3/4 as much as an adult ticket costs

a = 3/4(b)

= 3b/4

For his family of 5 to play it costs $34.

Hence:

3a + 2b = $34

a = 3b/4

3(3b/4) + 2b= 34

9b/4+ 2b = 34

9b + 8b / 4 = 34

17b/4 = 34

17b = 34 × 4

b = 136/17

b = $8

The cost of one Adult ticket = $8

Note that:

a = 3b/4

a = 3(8)/4

a = 24/4

a = $6

Therefore, the cost of one student ticket = $6

Answer:

A, D, E are equivalent expressions.

Step-by-step explanation:

A)

[tex]\dfrac{2}{3}a+\dfrac{5}{3}b + ( 8 + 4) - 4 =\dfrac{2}{3}a +\dfrac{5}{3}b + 12 - 4\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8\\\\[/tex]

Here, 8+4 = 12 and when we subtract 4 from 12, we get 8.

[tex]D) 6*(\dfrac{2}{3}a+\dfrac{5}{3}b+8)*\dfrac{1}{6}=6*\dfrac{1}{6}(\dfrac{2}{3}a+\dfrac{5}{3}b+8)\\\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b + 8[/tex]

Here, 6 and 1/6 will be cancelled and we get 1.

[tex]E) \dfrac{2}{3}a+\dfrac{5}{3}b+ 0*\dfrac{1}{3}c+8=\dfrac{2}{3}a+\dfrac{5}{3}b+0+8\\\\=\dfrac{2}{3}a+\dfrac{5}{3}b+8[/tex]

0 multiplied by any value is 0. So, term multiplied by 0 = 0

Answer:

1. C

2. X=8

3. The unknown number is what the bag of apples started out with

Step-by-step explanation:

Answer:

(8(2 + 4)

Step-by-step explanation:

16 + 32 ← factor out 8 from each term

= 8(2 + 4)

Answer:

Step-by-step explanation:

i honesty dont know if so i would help

Answer:

[tex]\frac{x-3w}{2}[/tex] = t

x < -2

x > 6

Step-by-step explanation:

For the first equation, let's solve for t.

Subtract 3w from both sides of the equation.

x - 3w = 2t

Now divide by 2.

[tex]\frac{x-3w}{2}[/tex] = t

t is equal to [tex]\frac{x-3w}{2}[/tex].

For the first inequality, let's solve for x.

First, subtract 1 from both sides, then divide by 3. The result is:

x < -2.

For the second inequality:

First add 5 to both sides, then divide by 2. The result is:

x > 6.

The compound inequality is as follows:

Solutions can be true if x is less than -2, or greater than 6.

We know that:

[tex]\large\tex\text{Circumference of circle} = 2\pi r = 35 \dfrac{13}{21} \ \tex\text{inches}[/tex]

[tex]\large \pi = \dfrac{22}{7}[/tex]

Somehow, we need to find the radius of the circle. To do that, we need to isolate 'r'.

Isolating 'r':

To isolate "r", we need to divide both sides by 2, then divide both sides by 22/7. You can also multiply 22/7 and 2 and then divide the result both sides to isolate "r".

Step-1: Divide both sides by 2.

[tex]2\pi r = 35 \dfrac{13}{21} \ \tex\text{inches} \\\\\\\ \dfrac{2\pi r}{2} = 35 \dfrac{13}{21} \div 2 \\\\\\ \pi r = \dfrac{35 \times 21 + 13}{21} \div 2 \\\\\\\pi r = \dfrac{748}{21} \times \dfrac{1}{2} \\\\\\\ \pi r = \dfrac{374}{21}[/tex]

Step-2: Divide π both sides.

[tex]\dfrac{\pi r}{\pi} = \dfrac{374}{21} \div \pi \\\\\\ r = \dfrac{374}{21} \div \dfrac{22}{7} \\\\\\ r = \dfrac{374}{21} \times \dfrac{7}{22} \\\\\\ r = \dfrac{17}{3}[/tex]

Now, let's multiply the radius by 2 to obtain the diameter.

Obtaining the diameter:

[tex]\tex\text{Diameter = 2(Radius)} \\\\\\ \tex\text{Diameter} = 2(\dfrac{17}{3} ) \\\\\\ \boxed{\bold{Diameter = \dfrac{34}{3}}}[/tex]

[tex]\\ \rm\rightarrowtail \pi d=35\dfrac{13}{21}[/tex]

[tex]\\ \rm\rightarrowtail \pi d=\dfrac{748}{21}[/tex]

[tex]\\ \rm\rightarrowtail d=748/21\pi[/tex]

[tex]\\ \rm\rightarrowtail d=11.34in[/tex]

Answer:

think red is 40 cm squared and the orange is 75 cm squared. You add for 115 cm squared

Step-by-step explanation:

Hope this helps my guy, please give me brainliest. :D

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

Answer:

A

Step-by-step explanation:

so times it by two because there's two friends. Divide the numerator by 2 which is one there's Ur answer or u could just divide it by two which is basically timing the denominator

Answer:

10

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The money in an account that earns 4.4% interest per year = 22500

The rest into an account that earns 6% interest per year = 13500

Step-by-step explanation:

Interest = Principal × Rate × Time

Let x = money saved in account A

Let y = money saved in account B

Brandon has 36000 to invest and wants to earn 5% interest per year

x + y = 36000..... Equation 1

x = 36000 - y

He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year.

Hence:

4.4% × x × 1 + 6% × y × 1 = 36000 × 5% × 1

0.044x + 0.06y= 1800....... Equation 2

Substitute 36000-y for x in Equation 2

0.044(36000 - y) + 0.06y = 1800

1584 -0.044y + 0.06y = 1800

-0.044y + 0.06y = 1800 - 1584

0.016y = 216

y = 216/0.016

y = 13500

Note that:

x = 36000 - y

x = 36000 - 13500

x = 2250

Therefore,

The money in an account that earns 4.4% interest per year = 22500

The rest into an account that earns 6% interest per year = 13500

The level from each growth factors is an illustration of combination

There are 90 ways of combining one level from each growth factors

From the complete question (see attachment), we have the number of levels in each growth factor is:

So, the number of combination (n) is:

n = 3 * 5 * 2 * 3

n = 90

Hence, there are 90 ways of combining one level from each growth factors

Read more about combination at:

https://brainly.com/question/11732255

Answer:

The solution(s) to a system of equations is the point(s) of intersection.

To find the solution, equate the equations and solve for x to find the x-coordinate:

[tex]\implies f(x)=g(x)[/tex]

[tex]\implies 3x+2=[x-1]+1[/tex]

[tex]\implies 3x+2=x[/tex]

[tex]\implies 2x=-2[/tex]

[tex]\implies x=-1[/tex]

Now substitute the value of x into one of the equations to find the y-coordinate of the solution:

[tex]f(-1)=3(-1)+2=-1[/tex]

So the solution to this system of equations is (-1, -1)

Therefore, (1, 5) is NOT a solution to the system of equations.

Let's check

[tex]\\ \rm\rightarrowtail y=3x+2[/tex]

[tex]\\ \rm\rightarrowtail 5=3+2[/tex]

[tex]\\ \rm\rightarrowtail 5=5[/tex]

Verified

And

[tex]\\ \rm\rightarrowtail y=[x-1]+1[/tex]

[tex]\\ \rm\rightarrowtail 5=1-1+1[/tex]

[tex]\\ \rm\rightarrowtail 5\neq 1[/tex]

No

Answer:

$4.07

Step-by-step explanation:

50-17.49=32.51

32.51/8=4.0637

round that up

Answer:

164.5

Step-by-step explanation:

987/6

164.5

The Quotient when 987 is divided by 6 is 164.

The dividend is the number that is being divided, and the divisor is the number that is being divided. The quotient is the end result of division.

Since we need to find the quotient of 987 when it is divided by 6. Therefore, we can write the quotient as,

Quotient = 987 ÷ 6

               = 987 / 6

               = 164

Hence, When we divide 987 by the 6 we will get 164 as Quotient.

To know more about Quotient click on the link below:

https://brainly.com/question/16134410

#SPJ2

X+X^2= 132 6^2 then just divide your answer by the whole number

Answer:

D

Step-by-step explanation:

The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.

Let's take a look at each end.

As x approaches negative infinity:

We can see from the graph that as x approaches negative infinity (a.k.a as x goes towards the left), the graph is curving upwards.

Therefore, as x approaches negative infinity, f(x) approaches positive infinity.

Therefore, the end behavior of the left is:

[tex]\text{As } x\rightarrow -\infty, f(x)\rightarrow\infty[/tex]

As x approaches (positive) infinity:

We can see from the graph that as x approaches positive infinity (as x is moving towards the right), the graph f(x) is curving downwards.

Therefore, as x approaches positive infinity, f(x) approaches negative infinity.

Therefore, the end behavior of the left is:

[tex]\text{As } x\rightarrow\infty, f(x)\rightarrow-\infty[/tex]

So, our answer is D.

And we're done!

Answer:

? = 42 degrees

Step-by-step explanation:

The 105 is part of a 180 degree angle so we do 180-105 giving us 75 degrees. and the sum of the internal angles of a triangle should equal 180. so we add 57 + 75 giving us 132. 180-132 will be 48 degrees.

Answer:

7.5%

Step-by-step explanation:

one year has 12 months...and in one month the person saves 200

so in one year it will be 200×12 = 2400

%save=total saves/total earning×100

= (2400/32000)×100 = 7.5%

I hope this will help!

Using the t-distribution, as we have the standard deviation for the population, it is found that the confidence interval estimate is (4044.2, 4653.4).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 12 - 1 = 11 df, is t = 2.7181.

As for the other parameters, they are given by:

[tex]\overline{x} = 4348.8, s = 388.2, n = 12[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 4348.8 - 2.7181\frac{388.2}{\sqrt{12}} = 4044.2[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 4348.8 + 2.7181\frac{388.2}{\sqrt{12}} = 4653.4[/tex]

The confidence interval estimate is (4044.2, 4653.4).

To learn more about the t-distribution, you can check https://brainly.com/question/16162795

Answer:

I think the answer would be C. or A.

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

Just took the quiz

[tex]y = 65[/tex]

[tex]x + 65 = 180[/tex]

[tex]x = 180 - 65[/tex]

[tex]x = 115[/tex]

[tex]z = x = 115[/tex]

Answer:

1/6

Step-by-step explanation:

-4/9 * (-3/8) =

= 12/72

= 1/6

Answer:

Step-by-step explanation:

-4/9 x -3/8 = (-4)(-3) / 8x9 = 12 / 72 = 6/36 = 1/6

I had calculated and answer is jackson

Answer:

B. Faith

Step-by-step explanation:

Casey paid $2.75 per gallon

55/20= 2.75

Jackson: 33.60/12 = 2.80

Faith: 30.25/11 = 2.75

Xavier: 39/15 = 2.60

Dominic: 39.20/14 = 2.80