Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].
Given:
The expression is
[tex]8a+16c[/tex]
To find:
Factor form of the given expression by using GCF.
Solution:
We have,
[tex]8a+16c[/tex]
Factors of each term:
[tex]8a=2\times 2\times 2\times a[/tex]
[tex]16c=2\times 2\times 2\times 2\times c[/tex]
The common factors are 2, 2 and 2. So,
[tex]GCF(8a+16c)=2\times 2\times 2[/tex]
[tex]GCF(8a+16c)=8[/tex]
Taking out the greater common factor (GCF) in the given expression, we get
[tex]8a+16c=8(a+2c)[/tex]
Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.
Which would be the most appropriate way to estimate -6.1(0.22)
Answer: Answer is 1
Step-by-step explanation:
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
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. Mr. Jenkins deposited $1,250 into an account. He made no additional
deposits or withdrawals. Mr. Jenkins earned 4.25% annual simple interest
on the money in the account.
What was the balance in dollars and cents in Mr. Jenkins account at the
end of 4 years?
Record your answer on the grid.
Be sure to use the correct place value.
Answer:
$1,462.50
Step-by-step explanation:
To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50
Hope this helps!
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
If x > g and g = 8, which set of numbers could represent x? Remember the whole set of numbers, must make this inequality true.
Answer: all numbers 9 and up.
Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!
No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.
Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]
[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]
[tex]A = \frac{1}{2}\cdot 4[/tex]
[tex]A = 2[/tex] units^2
And since the two triangles are the same, the other triangle has the same area: 2 units^2
For the square we can use [tex]A = l\cdot w[/tex]
[tex]A = 2 \cdot 2[/tex]
[tex]A = 4[/tex]
Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2
Answer:
8 units²
Step-by-step explanation:
In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2
In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.
Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:
2 + 2 + 2 = 6
Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:
([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,
(2 + 6) × 2/2
= 8 × 1
= 8 units²
Are the figures congruent? Explain.
answer:
yes, because when you count the units you will see they are same
step-by-step explanation:
being congruent doesn't mean it is similar, however being similar does mean that they are congruentas you can see when you count the number of units, they are similartherefore, they are congruent10. A bag contains black and white marbles. Overall, there are 36 marbles in the bag. If there are
14 more black marbles than white marbles, how many of each color are in the bag?
Equation #1
Equation #2
black marbles
white marbles
Answer:
25 black and 11 white
Step-by-step explanation:
lets say black marbles are x and white marbles are y
x+y=36
y+14=x
So: y+14+y=36
2y=22
y=11
Hence, x=25
Hope that helps!
Please answer the question above.
Answer:
5.3!
Step-by-step explanation:
( in case you need work ) the angles are congruent so you set them equal to each other!
6x+12=9x-4
you then get 16=3x then divided its 5.3!
i need help and you don't have to show your work
Answer:
75
Step-by-step explanation:
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
plz help me its kinds hard :(
Answer:
Adjacent Supplementary
Step-by-step explanation:
Vertical angles are across from each other, so you can cross out any answers with vertical.
Complementary angles add up to 90, so you can cross out the answers with complementary.
Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
Volumen de un prisma de base cuadrangular de 36 centimetros de altura y 21 centimetros de arista de la base
Responder:
756 cm³
Explicación paso a paso:
Dar lo siguiente
Base del prisma = 21cm
Altura del prisma = 36 cm
Volumen del prisma = Área de la base * Altura
Volumen del prisma = 21 * 36
Volumen del prisma = 756cm³
De ahí el volumen del prisma = 756cm³
The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round
to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height =
ft.
Distance along the ground =
ft.
On what day will both girls will be on the same page _____?
Answer:
like ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm .............. never
Step-by-step explanation:
2(x+3)=5x-6-3x true or false
Answer:
False
Step-by-step explanation:
LHS = 2x + 6
RHS = 2x - 6
LHS is not equal to RHS
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
Five times a number is 28 greater than the product of the number and -2. Find the number
Answer:
4
Step-by-step explanation:
Let the unknown number be x
Five times the number is expressed as 5x
28 greater than the product of the number and -2 is expressed as;
28 + (-2x)
Equating both expressions
5x = 28 + (-2x)
5x = 28 - 2x
5x+2x = 28
7x = 28
x = 28/7
x = 4
Hence the number is 4
A box contains ten cards labeled Q, R,S ,T ,U ,V ,W , X, Y, and Z . One card will be randomly chosen.
What is the probability of choosing a letter from Q toT ?
Write your answer as a fraction in simplest form.
Please help my day is going so bad ive litterally cried 5 times already and im so streesed with online school and having so much homework its just so difficult please help IM SO STRESSED :(
Answer:
10 cards. q to t is 4 of them- so 4 out of 10. 4/10. simplified 2/5
Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
Step-by-step explanation:
I can draw graphs on the application
eq1) is a line through y = 5 with a negative slope of -1 y = -x + 5
eq2) is a vertical line at x = 1/2 NO y intercept or slope
-2x = -1 ---> x = -1/-2 = 1/2
They intersect at
y = -x + 5 and x = 1/2 Substitute x=1/2 into
y = -1/2 + 5
y = 4.5
intersect at (1/2, 4.5)
**due today, please help!!**
Factor, input the parentheses
6x+12
3x+3y
10+25x
81x+48
24x+16y+8
3+24x+6y
81x-36y-18
54x+12
Answer:
i got you!
Step-by-step explanation:
6(x + 2)
3(x + y)
5(2x + 5)
3(27x + 16)
8(3x +2y + 1)
3( 1 + 8x +2y)
9( 9x -4y- 2)
6 (9x +2 )
Answer:
6(x+2), 3(x+y), 5(2+5x), 3(27x+16), 8(3x+2y+1), 3(1+8x+2y), 9(9x−4y−2), 6(9x+2).
I need help!!!!!!!!!!!!!!!!
Step-by-step explanation:
1.2(3cm)×2(6cm)
6cm × 12cm
=72cm²
2. 2(5cm)×2(3cm)
10cm×6cm
60cm²
3.2(6cm)×2(3cm)
12cm × 6cm
72cm²
72cm²+60cm²+72cm²
=204cm²
A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.
9514 1404 393
Answer:
3r +5c = 60
6r +4c = 80
Step-by-step explanation:
There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.
Let r and c represent the costs of a record and a CD, respectively.
3r +5c = 60 . . . . . . . the value of the first purchase
6r +4c = 80 . . . . . . . the value of the second purchase
These equations comprise a linear system describing an aspect of the situation.
_____
Comment on the question
The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
Riley can paint 1/5 a room in 1/10 of an hour. At what rate does she paint?
Answer:
Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..
Jo is playing a game in which he must roll a die and toss a coin. What is the probability that Jo will roll a 6 and toss a heads? Make a list to support your answer.
Answer:
1/ 12
Step-by-step explanation:
Sample space :
(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)
Probability = required outcome / Total possible outcomes
Required outcome = roll a 6 and toss a heads = 1
Total possible outcomes = sample space = 12
= 1/12
Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)
Answer:
y = -2*0.5ˣ
Step-by-step explanation:
general formula for exponential function: y = abˣ
for point (0 , -2): -2 = a*b⁰ = a * 1 = a
a = -2
for point (-1 , -4): -4 = (-2) * b⁻¹ b⁻¹ = (-4) / (-2) = 2
b = 1/2
exponential function: y = -2*0.5ˣ
help me plssssssssssssssssss
Answer:
kmkioppppppppoiiu yw quip all cm ms all pure 100.00
Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?
Answer:
At (5, -4)Step-by-step explanation:
The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line that passes through given point with a slope of m:
y - y₁ = m(x - x₁)
Line A:
[tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]
[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]
Line B:
[tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]
[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]
Point of intersect means the same coordinates x and y.
So:
[tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]