Mathematics Middle School

Multiply: (−8x − 15)(−12x2 + 12x + 3)
A) 96x3 + 84x2 − 156x − 45
B) 96x3 + 84x2 − 204x − 45
C) 96x3 + 276x2 − 204x − 45
D) 96x3 − 84x2 − 156x − 45

Answers

Answer 1
The answer of this question is B.
if you want the steps you can leave a comment...

Related Questions

solve 12x - 14 = 16x

Answers

12x-14=16x
-14=16x-12x
-14=-4x
14=4x
x=14/4
x=7/2
x=3.5

please thank me and mark as the Brainliest 
12x - 14 = 16x
12x - 14(+14) = 16x (+14)
12x = 16x + 14
12x (-16x) = 16x(-16x) + 14
-4x = 14
-4x/-4 = 14/-4
x = -3 1/2


Check:
12(-3.5) - 14 = 16(-3.5)
-42 - 14 = -56
-56 = -56


The answer is: -3 1/2 or -3.5

Andrea’s backyard is 400 square feet. Her rectangular swimming pool is 10 feet long, and six feet wide. What is the area of Andrea’s backyard, not including the swimming pool?

Answers

First, you have to find the area of the rectangular swimming pool (A1), which has 10 feet long and 6 feet wide. The area of a rectangle is:

 A=A1=LxW

 L=10 ft
 W=6 ft

 When you substitute these values into the formula, you obtain:

 A1=LxW
 A1=(10 ft)(6ft)
 A1=60 ft²

 The area of the Andrea’s backyard (A2) is 400 ft², therefore, the area of Andrea’s backyard, not including the swimming pool (A3), is:

 A3=A2-A1
 A3=400 ft²-60 ft²
 A3=340 ft²

 What is the area of Andrea’s backyard, not including the swimming pool?

 The answer is: The area of Andrea’s backyard, not including the swimming pool, is 340 feet²

Answer: The answer is 340

Step-by-step explanation:

You have to first find the area of the swimming pool 60 then you subtract it by the backyard 400 so you would get 340.

If m BOC = 30°, then m CAB = degrees


Answers

Answer: It's 330

Step-by-step explanation:

Answer:

The answer is 330.

_______________

Which expression would you use to find the number of outcomes for flipping 4 coins?

Answers

2*2*2*2
Multiply 2 by 2 by 2 by 2.

Answer:

[tex]2^4[/tex].

Step-by-step explanation:

If we flip a coin then we have two possibilities, i.e., head or tail. So,

Number of outcomes for flipping a coin = 2

If n coins are tossed, then the total number of outcomes is defined by the expression [tex]2^n[/tex].

It is given that the number of coins is 4.

Number of outcomes = [tex]2^4=2\times 2\times 2\times 2=16[/tex]

Hence, he required expression is [tex]2^4[/tex].

ABCD is a parallelogram.Find the measure of ABC

Answers

38+12 = 50 is the measure of angle ADC

The opposite to angle ADC is angle ABC
Opposite angles of a parallelogram are congruent, so angle ABC is also 50 degrees

Answer: 50 degrees

Answer:

(C)50°.

Step-by-step explanation:

It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.

Now, [tex]m{\angle}ADC={\angle}ADB+{\angle}BDC[/tex]

[tex]m{\angle}ADC=38^{\circ}+12^{\circ}[/tex]

[tex]m{\angle}ADC=50^{\circ}[/tex]

Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.

Hence, option C is correct.

Simplify 24/2^2+6 plz

Answers

the answer would be 30
If it is (24/2)^2 + 6:

24/2 = 12

12^2 = 144

144 + 6 = 150 would be your answer

If it is 24/(2²) + 6

(2²) = 4

24/4 = 6

6 + 6 = 12
12 would be your answer


hope this helps

a science museum has a scale model of a ladybug in the model 50 cm represents 9 mm the length of the model is 1 m how long is the actual ladybug

Answers

there are 100 cm in a meter so 100/50=2

2x9 = 18

the ladybug is 18 mm

In a quadrilateral ABCD, AB ∥ DC and AD ∥ BC . Find the perimeter of ΔCOD if point O is the intersection of the diagonals and AC = 20 in, BD = 20 in, AB = 13 in.

Answers

Answer:

33

Step-by-step explanation:

As the opposite sides of a quadrilateral are parallel and equal in length so

(AB) = (CD) =13

And the diagonals of a quadrilateral bisect each other at their intersection point (O in this case), so length of side OC will be the half of diagonal AC.

(OC) =  (AC) /2

(OC)=20/2

(OC) =10

Similarly,  

(OD) =10

Now,

Perimeter of Triangle OCD = (OC) + (CD)  + (OD)

=10+13+ 10

=33

Help on 37? Thank you!

Answers

So if the total is 72

We have to get the denominator of both fractions to be the same so let’s do

3/8 = 18/48
1/6 = 8/48

So if the total is 72 we need to do

18/48 = ?/72

Than cross multiply and let’s change ? into x

48x=1,296

Than divide both sides by 48 to solve for x

x=27

So Paquito scored 27 points

Nows let’s find Jeff’s total points by doing

8/48 = ?/72

Cross multiply once more and change ? To y this time

48y=576

And now divide both sides by 48 to get y

y=12

So Jeff scored 12 points

But that isn’t what the question is asking it’s asking how many did they score together so now all we have to do is

27+12=39

The total amount of points scored by Jeff and Paquito together was 39

Determine the unknown side length of the golden rectangle with the given side length. s = ____ l = 9 a. 5.56 c. 4.94 b. 4.85

Answers

Answer: option a. 5.46

Explanation:

The side lengths of the golden rectangle are in the proportion:

          1
--------------------
golden number

The golden numbrer is:

  1 + √5
-----------
     2

So, the ratio is:

       1
--------------
   1 + √5
   ---------
       2

And, using the properties of the division of fractions, that is equivalent to:

      2
-------------
 1 + √5

So, since you have thhe given side = 9, you can set the proportion, to find the unknown lenght, s:

    2               s
--------- =   ---------
1 + √5          9

And you can solve for s:

s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.

Which is the option a. 5.56

I don’t think this is correct but I got an area of 21.Can anyone help me or correct me on my error??

Answers

Cut the figure into 2 parts, like you already have here. 
There are now two parts with the dimensions of 3 x 3 and 2 x 9.
Multiply 3 x 3. That is 9. 
Multiply 9 x 2. That is 18.
Add together 18 and 9. That is 27. 
The answer is B, 27 in². 
Hope this helps!

Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i

Answers

I remember dis, yey

so if a polynomial has roots [tex]r_1[/tex], [tex]r_2[/tex], [tex]r_3[/tex], it can be factored into
[tex]f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d[/tex] where a,b,c,d are constants

also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root


so our roots we need are
4,16, 1+9i and 1-9i

so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])

we get that your function is
[tex]P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i))[/tex] which simplifies to
[tex]P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i)[/tex] which expands to
[tex]P(x)=x^4-22x^3+186x^2-1768x+5248[/tex]

Help with this please!

Answers

12x is equal to (13-9)3x, so put a tick there.

15x is equal to 6x/2 * 5 

24 x is equal to the middle row, which simplifies to (12)2x  = 24x.
6x ÷ 2 × 5
= 3x × 5
= 15x

(48 ÷ 4)2x
= (12)2x
= 24x

(13 - 9)3x
= (4)3x
= 12x

Todd would like to purchase a bicycle that costs $246. This is $48 more than twice the cost of his last bicycle. How much did his last bicycle cost?

Answers

246-48= 198

198/2= 99

Todd's last bike cost $99.

Explain how you know that 21/30 is greater than 2/3?

Answers

Hello, 

One way to do this is to convert the fraction 2/3 into 20/30 by multiplying it by ten.

Then, it is clear to see that 21/30 is more than only 20/30.

Good question,
MrEQ
It’s not greater it’s less for example 21/30 needs 9 more to equal 1 whole and 2/3 needs 1 to make one whole making it greater than 21/30

Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, i'll triple your money. There's one small thing though. Each time I pay, you must give me $54 back for the priviledge of jumping." Josh agreed, jumped the fence, received his payment from sam slick, and paid sam $54. Repeating the routine 1 more time, josh was distressed to find that after sam had made his payment to josh, josh had only $54 with which to pay sam and so had nothing left. Sam, of course, went merrily on his way, leaving josh wishing that he had known a little more about mathematics.

Answers

We can see here that according to the agreement, each time Josh jumped the fence, his money would be tripled. Thus, Josh had to pay Sam $54 back for the privilege of jumping.

Josh jumped the fence for the first time. Sam Slick paid Josh the agreed-upon amount, which was triple the initial money Josh had. Then Josh paid Sam $54 back as per the agreement.

We see that Josh jumped the fence for the second time. Sam Slick paid Josh the agreed-upon amount, which was triple the money Josh had after paying Sam $54. After Josh received the payment, he had only $54 left, which was exactly the amount he needed to pay Sam.

a bag of 5 lemons costs £1
a bag of 4 oranges costs £1.80
How much more does one orange cost than one lemon?

Answers

The answer is £2 because I did 5-£1 and 4-£1.80 and subtracted both of them to get £2.

a number tripled and tripled again is 729.what is the number

Answers

3(3n) = 729 
9n = 729n = 81

Movies are on sale for 1414 the original price. If the original price is $20, which expression gives the sale price?

Answers

Answer:

I'm answering super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

Your welcome :D

The smaller of two numbers is 2 less than 3/4 the larger. The sum of the two numbers is 47. Find the value of the numbers.

Answers

x = 47 - 28 = 19 .......

Final answer:

The two numbers in question are found by setting up a system of linear equations. The larger number is 39.2, and the smaller number is 27.4, found through substitution and simplification of equations representing their relationship and their sum.

Explanation:

The question involves solving a system of linear equations. Given the smaller number is 2 less than 3/4 the larger number, and the sum of the two numbers is 47, we can set up the following equations where x represents the larger number and y represents the smaller number:

y = ¾ x - 2

x + y = 47

We can substitute equation (1) into equation (2) which gives us x + (¾ x - 2) = 47. Solving for x gives us the larger number, and then y can be determined using either equation (1) or (2).

Following these steps:

x + (¾ x - 2) = 47

1¾ x - 2 = 47

1¾ x = 49

x = 49 / (5/4)

x = 49 * (4/5)

x = 39.2 (larger number)

y = ¾ * 39.2 - 2

y = 29.4 - 2

y = 27.4 (smaller number)

Thus, the two numbers are 39.2 and 27.4.

Julian wants to spend NO MORE than $1,250 on his trip. The airfare is $358. Write & solve an inequality to find the maximum amount he can spend on the rest of his trip.

Answers

x = rest of the money

X has to be less than or equal to $892 because you have to subtract $358 from the total budget which is $1250

Amount of money Julian can spend on trip= $1250

Amount spent on airfare = $358

Money left for trip = Total money - money spent on airfare= 1250 - 358= $892

So writing an inquality ,

[tex] x\leq 1250-358 [/tex]

where x is amount he can spend on trip.

Solving the inequality,

[tex] x\leq 892 [/tex]

So he can spend less than or equal to $892 on the trip.

A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?

Answers

Let no of blueberries be x
2 x bluberries = total raspberries
So raspberries = 2x
Cherries= 4 x raspberries so
Cherries = 8 x
Grapes = 3x cherries so
Grapes = 24x

Total fruit is equal to
X+2x+24x+8x=280
35x=280
Therefore X= 280/35=8

No of cherries in the salad
=8x
=8(8)
=64 cherries in total

Hope this helped and sorry I used shortcuts
Hope u understand

Final answer:

The given ratios indicate there should be 17.5 cherries in the fruit salad, but the number must be a whole number. There appears to be an error in the problem statement, as the conditions cannot be met with the total number of fruits given.

Explanation:

Solving the Fruit Salad Problem

Let's define the number of cherries in the fruit salad as x. According to the problem, there are four times as many cherries as raspberries, so the raspberries would be 4x. Since there are twice as many raspberries as blueberries, the blueberries would be 2(4x) = 8x. Lastly, there are three times as many grapes as cherries, meaning there are 3x grapes. To find out how many cherries are in the fruit salad, we can set up the following equation representing the total pieces of fruit:

x + 4x + 8x + 3x = 280

Adding all terms on the left side of the equation gives:

16x = 280

Dividing both sides by 16 to find the value of x gives:

x = 280 / 16

x = 17.5

Since we cannot have half a cherry in the fruit salad, the correct number of cherries must be a whole number. Therefore, it seems there's a mistake in the original statement regarding the relationship between the number of cherries and other fruits. Without the correct ratios or total pieces of fruit, a precise answer cannot be determined.

the seven houses on Kent lane are numbered from 1 to 7 .the local newspaper choose two of the houses at random to receive a free Sunday paper. What is the probability that house 6 and 7 receive the free paper

Answers

1/49 because you multiplythe two probabilities together, so 1/7 * 1/7

The sum of two numbers is 24 and their difference is 2. What are the numbers?

Answers

its 4 and 6
4 X 6= 24 
6-4= 2


It also can be 12x2=24. 24 divided by 2 equals twenty four

At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round?

I got for an answer 168. But I feel like that is wrong??? Can someone help me with this???

Answers

Your Question: 
At a games tournament, 1,008 people are divided into teams of 6. How many terms will play in the first round? 
My Answer:
168 ( This would be the same thing you have )
My Work:
1,008 ÷ 6 = 168
Hope I Helped,
~James

Final answer:

To find out how many teams will play in the first round, divide the total number of people by the number of people in each team. In this case, there will be 168 teams playing in the first round.

Explanation:

To find out how many teams will play in the first round, we need to divide the total number of people by the number of people in each team. In this case, we have 1,008 people divided into teams of 6.

To calculate the number of teams, we divide 1,008 by 6: 1,008 ÷ 6 = 168.

Therefore, there will be 168 teams playing in the first round.

8 pounds 4 ounces = how many ounces

Answers

8 pounds 4 ounces = 132 ounces
Hope this helps:D
Have a great rest of s brainly day!
"AB84"
Well, you already have 4 ounces, and a pound is worth 16 ounces. So, you multiply 16 x 8 and you get 128 and then you just add 4 to it and your final answer is 132 ounces. Hope that helped. Have a nice day:)

solve the equation, justify each step with an algebraic property 62= 5 + x

Answers

Final answer:

The solution to the equation 62 = 5 + x is x = 57. This is found by subtracting 5 from both sides of the equation and checking the solution by substitution.

Explanation:

To solve the equation 62 = 5 + x, we will follow algebraic properties to isolate the variable x.

Start with the equation 62 = 5 + x.Apply the Subtraction Property of Equality by subtracting 5 from both sides of the equation to eliminate terms: 62 - 5 = 5 - 5 + x, which simplifies to 57 = x.Thus, x = 57.To check the answer, substitute x = 57 back into the original equation: 5 + 57 = 62, which is true.

Therefore, the solution to the equation is x = 57, and after checking, it is reasonable.

Which describes the inverse operations used after the distributive property

Answers

The correct answer is subtraction, then division.

Hope this helps =)

Answer:

subtraction then division on edge

Step-by-step explanation:


Brian has 3 basketball cards and 5 basketball card what faction of Brian card are baseball cards

Answers

the answer is (5/8) hope it helps and have a great day!
The answer would be 5/8 because you have 8 all total and minus 3 would be 5 so 5/8 is the best answer for this question Thank You and if you need help on anything else just post it will hit you back with an answer have a nice day

A rowing team is practicing on a river. When the boat travels downstream, the current increases the speed of the boat. But when the boat travels upstream, the current decreases the speed of the boat. The team wrote a system letting s represent the speed in calm water and c represent the speed of the current. They found the solution for the system (s, c) to be (14, 6). How fast was the team traveling upstream and downstream?

A. The team traveled at 6 km per hour upstream and 14 km per hour downstream.
B. The team traveled at 14 km per hour upstream and 6 km per hour downstream.
C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.
D. The team traveled at 20 km per hour upstream and 8 km per hour downstream.

Answers

From the question, we know that the solutions of the system [tex](s,c)[/tex] is (14,6), which means the speed of the the boat in calm water, [tex]s[/tex], is 14[tex] \frac{km}{h} [/tex], and the speed of the current, [tex]c[/tex], is 6[tex] \frac{km}{h} [/tex]. To summarize:
[tex]s=14 \frac{km}{h} [/tex] and [tex]c=6 \frac{km}{h} [/tex]

We also know that when the boat travels downstream, the current increases the speed of the boat; therefore to find the speed of the boat traveling downstream, we just need to add the speed of the boat and the speed of the current:
[tex]Speed_{downstream} =s+c[/tex]
[tex]Speed _{downstream} =14 \frac{km}{h} +6 \frac{km}{h} [/tex]
[tex]Speed_{downstream} =20 \frac{km}{h} [/tex]

Similarly, to find the the speed of the boat traveling upstream, we just need to subtract the speed of the current from the speed of the boat:
[tex]Speed_{upstream} =s-c[/tex]
[tex]Speed_{upstream} =14 \frac{km}{h} -6 \frac{km}{h} [/tex]
[tex]Speed_{upstream} =8 \frac{km}{h} [/tex]

We can conclude that the correct answer is C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.

Final answer:

The team traveled at 8 km per hour upstream and 20 km per hour downstream. Downstream speed is calculated by adding the speed of the boat in calm water to the speed of the current (s + c), and upstream speed by subtracting the current speed from the boat's speed (s - c).

Explanation:

The student is asking about the speeds a rowing team would travel when going upstream and downstream in a river. The system of equations they've solved has given a solution for the speed in calm water, represented by s, and the speed of the current, represented by c, as (14, 6). To find the speed of the team traveling upstream and downstream, we use these values in conjunction with the direction of the current.

When traveling downstream, the current adds to the speed of the boat in calm water, so you would add the speed of the boat and the speed of the current: s + c. This equates to 14 km/h (speed in calm water) + 6 km/h (speed of current) = 20 km/h downstream.

Conversely, when traveling upstream, the current subtracts from the speed of the boat in calm water, so you would subtract the speed of the current from the speed of the boat: s - c. This is 14 km/h (speed in calm water) - 6 km/h (speed of current) = 8 km/h upstream.

Therefore, the correct answer is: C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.

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