Answer:
C
Step-by-step explanation:
The greatest common factor of 8 and 10 is 2
The greatest common factor of a^4 and a^3 is a^3
The binomial whose greatest common factor is 2a³ is 8a⁴ + 10a³.
What is greatest common factor?The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.
Given the a³ is not common in A and B they are wrong
C. 8a⁴ + 10a³
common factors of 8 and 10 is 2
so 8a⁴ + 10a³ has factors 2a³
Hence option C is correct.
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hunter finishes 45% of his homework problems in 36 minutes. If he has 11 problems left to complete, how many has he already finished?
help plz/math will give brainlest
Answer:
area of parallelogram = 21
area of trapezoid = 32
Step-by-step explanation:
Hello There!
The first figure shown is a parallelogram and the following dimensions are given
base = 7mm
height = 3mm
The area of a parallelogram can simply be found by multiplying the base by the height
so Area = 7 * 3
7 * 3 =21 so the area of the parallelogram is 21 square millimeters
The second figure given is a trapezoid and the following dimensions are given
height = 4m
base 1 = 5m
base 2 = 11m
To find the area of a trapezoid we use this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h = height
given the dimensions all we have to do is plug in the values into the formula
[tex]A=\frac{5+11}{2} 4\\5+11=16\\\frac{16}{2} =8\\8*4=32\\A=32[/tex]
so we can conclude that the area of the trapezoid is 32 square meters
PLEASE HELP IF POSSIBLE :)
Answer:
telephone pole height = 480ft
Step-by-step explanation:
Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:
[tex](shadow : height)[/tex]
Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:
(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)
Substitute:
6ft : 4ft 6in = (telephone pole hiehgt) : 30ft
Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):
72 : 54 = (telephone pole height) : 360
Simplify:
4 : 3 = (telephone pole height) : 360
Now solve, use cross products:
3(telephone pole height) = 1440
Inverse operations,
3(telephone pole height) = 1440
/3 /3
telephone pole height = 480
Peter has 7 oranges sam as 5 and mary has 3 . What is the ratio of the oranges of peter mary and sam
Answer:
7:3:5
Peter:Mary:Sam
2 Last year the girls' basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth- grade students to fifth-grade students on the team? A. 8:15 B. 8:7 C. 7:8 D. 15:8
Answer:
Step-by-step explanation:
C)7:8 not sure
The cost of tuition at a local college is $10,000 and increases 4% each year. What is the cost of tuition after 5 years?
Answer:
12000 I think so. I might be wrong
Answer:
$52000
Step-by-step explanation:
10,400 × 5 = 52000
There are 50 mobile homes in a trailer park. Each mobile home uses 250 gallons of water each day. Write and solve an equation showing how much water the trailer park uses in one day.
Answer: 12500 gallons
Step-by-step explanation:
Number of mobile homes in a trailer park = 50
Gallons of water used by each mobile home = 250 gallons
The amount of water used by the trailer park uses in one day will be:
= Number of mobile homes in the trailer park × Gallons of water used by each mobile home
= 50 × 250
= 12500 gallons
Guided Practice
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
y – 7y3 + 15y8
A.
15y8 – 7y3 + y; third degree trinomial
B.
y – 7y3 + 15y8; eighth degree trinomial
C.
15y8 – 7y3 + y; eighth degree trinomial
Answer: y( 1 - 7y2 + 15y7)
Step-by-step explanation:Just put () around the 1 threw 15 and put the y out of the ()
Answer:
C.
15y8 – 7y3 + y; eighth degree trinomial
Step-by-step explanation:
To write the polynomial in standard from, the degrees of the monomials need to decrease from left to right. Reorder the monomials to get 15y8 – 7y3 + y.
The polynomial has three terms, which makes it a trinomial. The monomial with the greatest exponent is 15y8, an eighth degree term. This makes the expression an eighth degree trinomial.
57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?
Answer:
73.8 g
Step-by-step explanation:
57.4/7 = 8.2 per cake
8.2 x 9 = 73.8 g
Answer:
I'm pretty sure the answer would be 73.8g
Step-by-step explanation:
If you graphed this system, what would the solution be?
Answer:
(6, 2 )
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{2}{3}[/tex] x - 2 → (1)
y = 2 → (2)
Substitute y = [tex]\frac{2}{3}[/tex] x - 2 into (2)
[tex]\frac{2}{3}[/tex] x - 2 = 2 ( add 2 to both sides )
[tex]\frac{2}{3}[/tex] x = 4 ( multiply both sides by 3 )
2x = 12 ( divide both sides by 2 )
x = 6
The solution is (6, 2 )
Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime.
Answer:
(x, y) ⇒ (x - 5, y - 3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).
Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:
(x, y) ⇒ (x - 5, y - 3)
Suppose your friend says he can solve 3x = 15
by using the Multiplication Property of Equality. Is he correct?
Answer:
He is incorrect
Step-by-step explanation:
Although he can solve it, he would use Division Property or Equality not multiplication
hope this helps ;)
A cylinder has a base diameter of 12in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Answer:
1922.7 cubic inches
Step-by-step explanation:
The volume of a cylinder can be found with this formula:
V=πr^2h
The radius, r, is half the diameter.
So, 12/2=6
r=6 inches
Then, just plug the numbers in.
V=π(6)^2(17)
V=1922.65
Rounding to the nearest tenth:
V=1922.7 cubic inches
The volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.
Base diameter of the cylinder = 12 inches
So, the base radius of the cylinder =12/2 =6 inches.
Height of the cylinder = 17 inches
What is the volume of a cylinder?The volume of a cylinder is given by [tex]\pi r^{2} h[/tex] where r is the radius and h is the height.
So, the volume of the cylinder with a radius of 6 inches and height of 17 inches = [tex]\pi 6^{2} (17)[/tex]
The volume of the cylinder with a radius of 6 inches and height of 17 inches=1922.65 cubic inches.
Thus, the volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.
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suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000
Answer:
$19200
Step-by-step explanation:
20,000*0.96=19200
i need help with this
Answer:
Its 40.9!
Step-by-step explanation:
The opposite sides of angles are most of the time congruent, or the same!
Hope this helps and don't forget to follow!
So on earth there are about 10 000 000 000 000 000 ants and 6 000 000 000 humans.the ratio of humans to ants is approe equal to
Answer:
10,000,000,:6
Step-by-step explanation:
I think
Answer:
10^7:6
Step-by-step explanation:
[tex]10000000 = {10}^{7} [/tex]
The weather in Montana
was - 1° F one night and
12° F the next night. How
much warmer was the
temperature the second
night?
Answer:
13 degrees warmer
Step-by-step explanation:
Answer:
13 degrees Fahrenheit.
Step-by-step explanation:
The temperature started at -1 then raises to 12.
So, it goes -1,0,1,2,3,4,5,6,7,8,9,10,11,12, so it increases by 13 degrees Fahrenheit.
who want brainlist???
Answer:
its the 3rd one
Step-by-step explanation:
because x=4 and y=28 so 4 times 7 =28
What is the solution to this inequality -7t + 3> - 46?
-7t+3>-46
Subtract 3 on both sides to cancel it out.
-7t+3>-46
-3 -3
-7t>-49
Now divide -7 on both sides.
-7t>-49
/-7 /-7
t>7
This means the answer, or t, can be anything above 7.
---
hope it helps
[tex]-7t+3>-46[/tex]
[tex]-3[/tex] [tex]-3[/tex]
___________ solve -46 - 3, which is -49.
[tex]-7t>-49[/tex]
___ ___ divide -7 on both sides, -7s should cancel out on the left.
[tex]-7[/tex] [tex]-7[/tex]
[tex]t>7[/tex], is the final answer
Which store has the larger median value?
Store A
- Store B
20
80
30 40 50 60 70
Number of Team Wristbands Sold Daily
Store A
Store B
They have the same median
There is no median
Kiana walks from her house to Jo's house. She first walks west then walks south. How many blocks west does Kiana walk? How many south?
Answer:
She goes from 4 to -4 west which is 8 blocks west
Then she goes south from +2 to -2 on the y axis which is 4 blocks south
PLEASE HELP ME I NEED ANSWERS FAST!!! No links plz
Answer:
$220,000 I am pretty sure this is correct!
Please help me on this question!! If you get the question correct you will get brainleist!!! Tyyy ^^
Answer:
Area
Step-by-step explanation:
What is the solution to the system of equations shown on the graph?
11/18 - x/18 = 1/18
Find the number for X, but it has to get 1/18
Answer:
10/18
Step-by-step explanation:
11/18 - 10/18 = 1/18
if MN=NQ and MQ=QR=RP, calculate for x
Answer:
C. 18°Step-by-step explanation:
Refer to attached diagramGiven MN = NQ MQ = QR = RPNMR = 3xQMR = xTo findValue of xSolutionMN = NQ ⇒ ∠MRN = ∠QMN = 3x+x = 4xMQ = QR ⇒ ∠MRQ = ∠QMR = xRQP is exterior angle of ΔMQR ⇒
∠RQP = x + x = 2xQR = RP ⇒
∠RPQ = ∠RQP = 2x∠QRN is exterior angle of ΔQRP ⇒
∠QRN = 2x + 2x = 4x∠MRN = ∠QRN - ∠QRM = 4x - x = 3x∠MRN = ∠NMR = 3x ⇒
NR = MQNR = MQ ⇒
∠NQR = ∠QRN = 4xWe now have a straight angle MQP:
∠MQP = ∠MQN + ∠RQN + ∠RQP180° = 4x + 4x + 2x10x = 180°x = 18°Correct choice is C
Olivia has a certain number of pieces of candy that she wants to share evenly with her siblings. She has 2 sisters and a brother. Write an expression that represents the amount of candy each sibling will get.
Answer:
So say she has 20 pieces of candy if her sibilings are young the she take ten and split the 10 into two 5
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 510 tons. Train A is heavier than Train B. The difference of their weights is 484 tons. What is the weight of each train?
Answer:
Train A is 497 tons and Train B is 13 tons
Step-by-step explanation:
Let a represent the weight of Train A, and b represent the weight of Train B
Set up a system of equations:
a + b = 510
a - b = 484
Solve by elimination by multiplying the top equation by -1
-a - b = -510
a - b = 484
Add these together, and solve for b:
-2b = -26
b = 13
Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a
a + b = 510
a + 13 = 510
a = 497
So, Train A is 497 tons and Train B is 13 tons
Solve the following equations by using the Quadratic formula and answer the subsequent questions:
x^2 - 6x + 9 = 0
a. Are the roots equal or unequal?
b. Are the roots rational or irrational?
c. Are the roots real or non-real?
(Please explain how you got the answers)
Answer:
Step-by-step explanation:
Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:
(x - 3)^2
and the roots are found by setting this equal to zero and solving for x:
(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3
a) there are two equal roots: {3, 3}
b) the roots {3, 3} are rational
c) the roots {3, 3) are real
If you want to use the quadratic formula, proceed as follows:
1. Identify the coefficients of the quadratic: {1, -6, 9}
2. Find the discriminant b^2 - 4ac: It is (-6)^2 - 4(1)(9) = 36 = 36 = 0
As a general rule, if the discriminant is zero, the quadratic has two equal, real roots. These roots are rational: 3 can be rewritten as 3/1, which is a ratio.