Answer:
The given expression in simplified form is: [tex]15x^2+10x[/tex]
Step-by-step explanation:
Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.
This may involve addition, subtraction and multiplication of variables.
Given expression is:
[tex]5x(3x+2)[/tex]
Distributing 5x will give us:
[tex]= 5.3.x.x + 5.2.x\\=15x^2+10x[/tex]
Hence,
The given expression in simplified form is: [tex]15x^2+10x[/tex]
Calculate the circumference of a semi circle which diameter is 28cm
Answer:
Circumference of semi circle = 116 cm
Step-by-step explanation:
Given:
Diameter of a circle = 28 cm
Find:
Circumference of semi circle
Computation:
Circumference of semi circle = πr + Diameter
Circumference of semi circle = (22/7)(28) + 28
Circumference of semi circle = 88 + 28
Circumference of semi circle = 116 cm
45°
b
a
35
Help me if you can
9514 1404 393
Answer:
C) a = 3√10; b = 3√5
Step-by-step explanation:
The side ratios in an isosceles right triangle are 1 : 1 : √2. This is a fact worth remembering. You know the triangle is isosceles because both acute angles are 45°, which means both legs are the same length.
If the leg lengths are 1, the Pythagorean theorem tells you the hypotenuse is ...
c^2 = a^2 + b^2 . . . . . . for legs a, b, and hypotenuse c
c^2 = 1^2 + 1^2 = 2
c = √2
This tells you the leg : leg : hypotenuse ratios are as shown above.
__
What that means here is that b = 3√5, the same length as the one shown. It also means that ,,,
a = (3√5)(√2) = 3√(5·2)
a = 3√10
The only answer choice with the correct value of 'a' is (C).
a = 3√10, b = 3√5
Write an equation in point-slope form of the line that has a slope of -3 and passes through the
point (4,-5)
In a fish tank, 50% of the fish are clown fish, 1/3 are angel fish and the rest are goldfish. There are 33 clown fish in the fish tank. (b) How many goldfish are there in the fish tank?
Answer:
11 gold fish
Step-by-step explanation:
We are told that
In a fish tank, 50% of the fish are clown fish and there are 33 clown fish in the fish tank.
Let the total number of fishes in the tank be = x
Hence,
50% of x = 33
50/100 × x = 33
50x/100 = 33
Cross Multiplying
50x = 33 × 100
x = 33 × 100/50
x = 66 fishes
Hence, the total number of fishes in the tank = 66 fishes
1/3 are angel fish
The number of angel fishes are
1/3 × 66 fishes = 22 angel fish
•The rest are goldfish. How many goldfish are there in the fish tank?
The number of gold fish is calculated as:
Total number of fishes -( Number of clown fish + Number of angel fish)
= 66 - (33 + 22)
= 66 - 55
= 11
Therefore, the number of gold fish is 11
Answer:
Step-by-step explanation:
1/33 because its 33 goldfish
An avid collector wants to purchase a signed basketball from a particular playoff game. He plans to put
away 4% more money each year in a safe at his home to save up for the basketball. In the sixth year, he
puts $580 in the safe and realizes that he has exactly enough money to purchase the basketball.
To the nearest dollar, how much did the collector pay for the signed playoff basketball?
Answer:
A: $476.72
B: $3162
Step-by-step explanation:
3.48 with 8 % tax would equal please help so confused how to do
California, the most populous state, has approximately 40,000,000 people living in it. The population of the entire United States is about 3E8 people. About how many times greater is the population of the United States than the population of California?
State operation used and write answer in proper scientific notation (can use e)
Answer: 7.5 E 0
This is the same as saying 7.5 * 10^0
Both of these values convert to the number 7.5; meaning that the population of the US is about 7.5 times greater than the population of CA.
==========================================================
Work Shown:
40,000,000 = 40 million
40,000,000 = 4.0 * 10^7
Note how we move the decimal 7 spots to the right to go from 4.0 to 40,000,000
so the 7 in 10^7 tells us how many spots to move the decimal point in the base number 4.0
The number 4.0*10^7 can be condensed to 4E7. The "E" represents "times 10 to the"
As another example, "3E8" means "3 times 10 to the 8th power" which becomes 3.0*10^8 = 300,000,000 = 300 million
--------------------------
We have these two facts
x = Population of CA = 4 E 7 = 4*10^7y = Population of US = 3 E 8 = 3*10^8We'll divide the two populations to get
y/x = (3E8)/(4E7)
y/x = (3*10^8)/(4*10^7)
y/x = (3/4)*10^(8-7)
y/x = 0.75*10^1
y/x = 7.5
We can see that the population of the US is roughly 7.5 times greater compared to the population of CA.
Convert 7.5 to scientific notation, and we get
7.5 = 7.5*1 = 7.5 * 10^0 = 7.5 E 0
Keep in mind that these are population estimates, and populations change over time.
What is the measure of xy shown in the diagram below
Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answer:
its a
Step-by-step explanation:
Help pls! ASAP!!! will give brainliest if right!!!
Answer:
22.5
Step-by-step explanation:
i have gotten this question before so im for sure its 22.5
Find the perimeter and area of the following shape.
Answer: PLEASE MARK BRAINLIEST I NEED ONE MORE
Area:113 units squared
Perimeter: 43 units
Step-by-step explanation:
11 times 7 plus 6 times 6 equals
Taking finals pls help
Given the graph below, how much will it cost Kenny to order 125 T-shirts?
0 A $62.50
o
B $250
OC $312.50
D $375
Answer:
It should be B $250 - - - - -
PLZ HELP with this question
Answer:B
Step-by-step explanation:
It says split so you would split v by 2
if 40 is increased to 56 what is the percent of change
Answer:
40% more.
Step-by-step explanation:
40% of 40 is 16. 40+16 is 56
Answer: 71%
Step-by-step explanation: 40/56*100
write a polynomial function with the given zeros
x = -2, -2, 3
Answer:
(x+2)(x+2)(x-3)
Step-by-step explanation:
hope this helps
Here are three stories:
• A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the
show.
• Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6
ounces left for himself.
• Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and
then paints 27 picture frames.
Here are three equations:
• 3x + 6 = 27
• 6x +3=27
• 27x + 3 = 6
a. Decide which equation represents each story. What does x represent in each equation?
b. Find the solution to each equation. Explain or show your reasoning,
c. What does each solution tell you about its situation?
Answer:
1)
a) 6x+3 = 27
b) x=4
c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.
2)
a) 3x + 6 = 27
b) x= 7
c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.
3)
a) 27x + 3 = 6
b) x= 1/9
c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture
Step-by-step explanation:
1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.
a) Decide which equation represents each story. What does x represent in each equation?
Let x be price of one ticket.
The equation will be: 6x+3 = 27
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
6x+3=27
6x=27-3
6x=24
x=24/6
x=4
So, we get x = 4
c. What does each solution tell you about its situation?
We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.
2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
a) Decide which equation represents each story. What does x represent in each equation?
Let x be amount of juice poured.
The equation will be: 3x+6 = 27
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
3x+6=27
3x=27-6
3x=21
x=21/3
x=7
So, we get x = 7
c. What does each solution tell you about its situation?
We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.
3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
a) Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.
Let x be time spend on each picture frame.
The equation will be: 27x+3=6
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
27x+3=6
27x=6-3
27x=3
x=3/27
x=1/9
So, we get x = 1/9
c. What does each solution tell you about its situation?
We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture
Answer:
Step-by-step explanation:
h
Boris filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
9.94, 1, 19.1
What is the total amount of gas Boris bought last week?
Answer:
30.04
Step-by-step explanation:
You could do this the simple way which is to first grab two numbers in any order and add them together, and after you do that you can add the result to the remaining number or numbers that remain. 9.94 plus 1 is 10.94, and 10.94 plus 19 is 29.94, lastly the .1 from the 19 which finally leads us to the answer of 30.04 gallons that Boris bought last week
add one short pipe plus one long pipe, 20 points.
Answer:
4.245
Step-by-step explanation:
1.8 + 2.445 = 4.245
What is 5(4x)
fastfastfastfast
Pls help WILL PICK BRAINLIEST!
Which other expression has the same value as (-14) -8?
(-14) + 8
14 − (-8)
14 + (-8)
(-14) + (-8)
Answer:
D. (-14)+(-8)
Step-by-step explanation
Adding to negatives is the same as subtracting 2 positives
-14- 8= 22
-14+(-8)= 22
At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers’ parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings.
Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do.
Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.
Answer:
30 jobsStep-by-step explanation:
Mark
Initial amount - $200Earning - $20*jSaving is: S = 20j + 200Ryan
Initial amount - $350Earning - $15*jSaving is: S = 15j + 350If they get same saving, then the equations will be equal:
20j + 200 = 15j + 35020j - 15j = 350 - 2005j = 150j = 150/5j = 30The answer is 30 mowing jobs
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 9 people took the trip. She was able to purchase coach tickets for $330 and first class tickets for $1160. She used her total budget for airfare for the trip, which was $8780. How many first class tickets did she buy? How many coach tickets did she buy?
Answer:
7 first class and 2 coach tickes
Step-by-step explanation:
Simplify 7(x - 2) - 4x + 9.
O A. 3x+7
O B. 3x - 5
O C. -11X- 11
D. -21 x + 49
Answer:
b. 3x-5
7(x-2)-4x+9
7x-14-4x+9
(7x-4x)(-14+9)
3x-5
HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST
Answer:
ok.....mmmm............
Answer:
whats the ?
Step-by-step explanation:
is the sum of 398 and 6578 odd or even?
Answer:
ITS 6976 SO YES.
Step-by-step explanation:
Answer:
6976 it is even
Step-by-step explanation:
the sum is 6976
ASAP. 20 points. What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20
Negative 4
4
20
Answer:
Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4
Step-by-step explanation:
Answer:
–48
Step-by-step explanation:
i looked it up i hope this helps :) :) :)
A school has 1200 students last year and only 1080 students this year what was the percentage decrease in the number of students
Answer:
10%
Step-by-step explanation:
HOPE THIS HELPS
BRAINLIEST???
What’s the domain and range
Answer:
domain is negative infinity to 1
range is -3 to positive infinity
Step-by-step explanation:
mulitply the polynomials below.
(3y-8)(-x+y)
can someone please help!!
Answer:
Just gunna take up one space
Step-by-step explanation: