Answer:
10(5x - 6).
8(2m + 5).
9(3 - 5c)
Step-by-step explanation:
Given that
50x-60
16m+40
27-45c
The greatest common factor is a measure of the highest number present inside, or common to all the numbers that were listed. To take this one at a time, we have....
50x - 60. The highest number common to both of them is 10, and thus, we have
50x - 60 = 10(5x - 6), and this is the solved part.
16m + 40. The greatest number that's present inside both numbers is 8, and thus we have
16m + 40 = 8(2m + 5) and this is the solved part.
27 - 45c. The greatest common number is 9, and as a result, we have
27 - 45c = 9(3 - 5c), and this is the solution we were searching for
Alexander is a waiter. He gets paid $3.25 per hour plus tips based on his performance. Which expression represents Alexander's salary?
Answer:
f(x) = 3.25x + tips
x = hours
Step-by-step explanation:
Step-by-step explanation: We know how much Alexander gets paid ($3.25) but we don't know how many hours he works. So, the equation will contain a variable.
H will be our variable, it will represent hours.
Therefore, the answer is: f(h) = 3.25 + tips
Definitions:
Variable: A letter representing the unknown.
Equation: A mathecial setence.
A bag contains 4 green marbles, 3 red marbles, and 7
blue marbles. One marble is taken from the bag and put
back after checking its color. A second marble is then
taken out. What is the probability that the first is blue
and the second red?
Answer:
3/28
Step-by-step explanation:
There are 14 marbles in the bag. So, the probability of choosing a blue marble is 7/14 or 1/2. Since the first marble is replaced, the bag still has 14 marbles in it. Then the probability of choosing a red marble is 3/14. The probability of choosing the blue, then the red is 1/2 x 3/14 = 3/28
A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment
Answer:
35
Step-by-step explanation:
Given that :
Number of balls = 8
Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)
Possibilities unt a blue ball is picked :
B, RB, GB, RRB, RGB, GRB, G
Draw 1 = B = 1
Draw 2 = B = 2C1 = 2
Draw 3 = B = 3C2 = 3
Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4
Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5
Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6
Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7
Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7
Taking the sum:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35
There are 35 elements in the sample space
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs?
Select all that apply
(2, 4), (6, 3), (5, 4). (7,3), (8.2)
A There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.
At which value in the domain does f(x) = 0?
Answer: C (x=1)
Step-by-step explanation:
f(x)=0 at points of intersection of the graph of the function with x-axis.
The graph of the function intersects x-axis at three points:
somewhere between -3 and -2;
somewhere between -1 and 0;
at x=1.
Since x=1 is the value of x from the domain, then correct choice is option C.
I need help please?!!!!
Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint
Answer:
You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
Mike Jones bought an older house and wants to put in a new concrete driveway. The driveway will be 30 feet long, 10 feet wide, and 9 inches thick. Concrete (a mixture of sand, gravel, and cement) is measured by the cubic yard. One sack of dry cement mix costs $7.30, and it takes four sacks to mix up 1 cubic yard of concrete. How much will it cost Mike to buy the cement
Answer:
$26280
Step-by-step explanation:
Cuz i said so
You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily
Answer:
$8800 might be wrong on that not sure
What is the point-slope form of a line with a slope -3 that contains the point (10,-1)
Here's the formula:
y - y1 = m(x - x1)
Substitute numbers accordingly:
y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)
x1: and 10 goes to the x1 spot
m: -3 belongs in m
What is the value of {8 +3 (14 – 6) – 18) ?
Answer:
Step-by-step explanation:
3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants
Please show all of your work for this!
Answer:
17 unitsStep-by-step explanation:
BE is midsegment of ACDF
BE = 1/2(CD + FA)2(3x + 3) = 6x - 16 + 4x - 106x + 6 = 10x - 2610x - 6x = 6 + 264x = 32x = 8Similarly, FA is midsegment of BEZW
FA = 1/2(BE + WZ)WZ = 2FA - BEWZ = 2(4x - 10) - (3x + 3)WZ = 8x - 20 - 3x - 3WZ = 5x - 23Substitute x with 8:
WZ = 5*8 - 23 = 40 - 23 = 17Can someone help me? I don’t know how to solve it. Thank you!
Answer:
C. 5x^2 - 8x + 13
Step-by-step explanation:
Select the correct symbol
Answer:
The answer is <
It takes Serina 8 hours to drive to Georgia. Her route is 4800 miles. What is Serina’s average speed?
Answer:
time
Step-by-step explanation:
Answer:
Technically it is 600 mph but I think you meant 480 miles not 4800 miles but if it is 480 miles then 60 mph
Step-by-step explanation:
I think you made a typo.
Determine which choice best shows the distributive property of multiplication.
Question 3 options:
1 × 4 = 4 × 1
1 × 1 = 1
1 × (4 × 6) = (1 × 4) × 6
1 × (4 + 6) = (1 × 4) + (1 × 6)
What happens to the mode of the data set shown below if
the number 16 is added to the data set?
18
19
26
24
18
25
19
20
19
OA) The mode is increased by 1.
OB) The mode does not change.
Oc) The mode is increased by 2.
OD) The mode is increased by 7.
Answer:
OB) The mode does not change
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
Joe has $20 to spend on two model cars and supplies to paint them. The paint supplies cost $4.00 Which expression shows how much he can spend on each model?
A. x ≤ $8
B. x ≥ $8
C. x ≤ $16
D. x ≥ $16
Answer:
So he has 20$ to spend. He spends 4$ to paint them. That means that after getting the supplies he would have 16$ left to spend on the cars.
Answer:
A. x ≤ $8Step-by-step explanation:
John has $20He spends $4 on paint suppliesHe can spend x dollars on each model and 2x on both:
2x ≤ 20 - 42x ≤ 16x ≤ 8Correct choice is A.
2. The sum of two numbers is 52. The
difference of the two numbers is 6.
What are the numbers?
Answer:
29 and 23
Step-by-step explanation:
Step 1: rewrite the sentences as equations:
equation 1: x+y=52
equation 2: x-y=6
Step 2: add those two equations together to get:
2x=58
x=29
Step 3: substitute x in one of the first equations to get y:
29-y=6
y=23
Step 4: Check with the other equation:
x+y=52
29+23=52✔
If r * s = s to the power of r, then 3 * 2 =
Answer:
[tex]3*2=8[/tex]
Step-by-step explanation:
We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:
[tex]r*s=s^{r}[/tex]
[tex]3*2=2^{3}[/tex] (Substitute [tex]r=3[/tex] and [tex]s=2[/tex] into [tex]r*s=s^{r}[/tex])
[tex]=8[/tex] (Simplify)
Hope this helps!
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 customers they serve. About how many apples will they sell in 6 hours if they serve 10 customers every hour?
the sum of 17 and 3 times x
Answer:
20x?
Step-by-step explanation:
Answer:
it will = 17+3x. hope it helps
Can a parallelogram also be a rectangle
Answer:
yes
Step-by-step explanation:
Answer:
sometimes
Step-by-step explanation:
Fatoumata observes marble travel along a horizontal path at a constant rate. The marble travels 1/12 of the length of the path in 4 2/3 seconds. At that rate, how many seconds does it take the object to travel the full length?
can someone help me please?
Answer:
The vera is incorrect.
Step-by-step explanation:
the answer will be 60cm not 48cm
Select the correct answer.
Which expression in factored form is equivalent to this expression?
4(x2 – 2x) – 2(x2 – 3)
A. (2x − 3)(x + 1)
B. 2(x + 1)(x + 3)
C. (2x + 3)(x + 1)
D. 2(x - 1)(x – 3)
Took the test. This is the answer.
Answer:
D. 2(x - 1)(x – 3)
Step-by-step explanation:
4(x2 – 2x) – 2(x2 – 3)
We would first of all expand the expression given
This becomes
= 4x2 - 8x - 2x2 + 6
Rearrange to enable us simplify
4x2 - 2x2 - 8x + 6
= 2x2 - 8x + 6
Factorize
2 (x2 - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x2 - x - 3x + 3)
pick out the common factors
2(x(x-1) -3(x-1)
2(x-1)(x-3)
Option D. 2(x - 1)(x – 3) is right
Using the Factor Theorem, the factored form equivalent to this expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem, the expression is:
[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]
[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]
[tex]2x^2 - 8x + 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].
Hence:
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]
Hence, the expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
You can learn more about the Factor Theorem at https://brainly.com/question/24380382
You have two cats. Each cat has a litter of K kittens. Write an expression that describes a total number of cats and kittens you have.
what is 3x × -4x in algebra
Answer:
-12
Step-by-step explanation:
3x×-4x
3×-4xto the power 1-1
-12×1
12
plz make me brainliest
