Answer:
uhh which 1
Step-by-step explanation:
The expressions are simplified and factored in as below.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expressions are simplified as,
1.
5x + 3x
= 8x
2.
2x + x
= 3x
3.
6x + 8x
= 14x
4.
9x + 3x
= 12x
5.
7x + 4x
= 11x
6.
10x + x
= 11x
7.
3x + 2 + 4x
= 7x + 2
8.
15x + 3 + x
= 16x + 3
9.
2x + 5 + 6x
= 8x + 5
10.
7x + 2x + 4
= 9x + 42
11.
18x + 3x + 9
= 21x + 9
12.
6x + x + 8
= 7x + 8
13.
21x + 15y
= 3(7x + 5y)
14.
2x + 14y
= 2(x + 7y)
15.
15x + 10y
= 5(3x + 2y)
16.
12x + 18y
= 6(2x + 3y)
17.
10x + 30y
= 10(x + 3y)
18.
6x + 14y
= 2(3x + 7y)
19.
8x + 16y
= 8(x + 2y)
20.
45x + 27y
= 9(5x + 3y)
21.
54x + 48y
= 3 (18x + 16y)
Thus,
The expressions are simplified and factored in as above.
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Marcus daims that in the expression 3x + 3y, the terms 3x and 3y are like terms because both are variable terms and both have the same coefficient. Is Marcus correct? Explain
Answer:
Step-by-step explanation:
3x and 3y are not "like terms," despite having the same coefficient.
Like terms have the same variable. For example, 3x and 2x are like terms, so
3x+2x = 5x
The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=
The value of (f + g)(5) is 65
FunctionFunction relates input to output . Therefore,
g(x) = w² + 7w - 7
f(x) = 4w - 8
Therefore,
(f + g) = w² + 7w - 7 + (4w - 8)
(f + g) = w² + 7w - 7 + 4w - 8
(f + g) = w² + 11w - 15
Finally,
(f + g)(5) = 5² + 11(5) - 15
(f + g)(5) = 25 + 55 - 15
(f + g)(5) = 80 - 15
(f + g)(5) = 65
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A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
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13.6z - 11 = -1.48.
can u please show the work for it
Step-by-step explanation:
13.6z - 11 = -1.48.
13.6z=-1.48+11
z=9.52/13.6=0.7
paki answeran naman po
Answer:
For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2
Step-by-step explanation:
The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.
Jay's allowance is reduced $1.25 every time he forgets to clean his room. If he forgets to clean his room 7 times this month, how much is Jay's allowance reduced?
Answer:
$8.75
Step-by-step explanation:
1.25 times 7 equals 8.75 so it is reduced by 8.75
Which inequality is NOT true?
A 65.7 < 67.54
B 4.003 > 4.03
C 26.4 < 26.48
D 0.91 > 0.097
Answer:
b
Step-by-step explanation:
it's b and mark me brainlist plaese
An advertising agency notices that approximately 2 in 50 potential buyers of a product sees a given magazine ad, and 1 in 7 sees a corresponding ad on television. One in 100 sees both. One in 5 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
the probability that a randomly selected potential customer will purchase the product is 0.11728
Step-by-step explanation:
Given the data in the question;
by hypothesis, let the event be given as;
M = buyers sees a given magazine ad of the product
T = buyers sees a given television ad of the product
[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad
[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad
from the information given in the question;
P(M) = (2/50 ) = 0.04, P(T) = ( 1/7) = 0.1428, P(M∩T) = (1/100) = 0.01,
P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex] ) = (1/10) = 0.1
now, the probability that the buyer sees the ad of the product will be;
P( M ∪ T ) = P( M) + P(T) - p( M ∩ T)
P( M ∪ T ) = 0.04 + 0.1428 - 0.01
P( M ∪ T ) = 0.1728
The probability that the buyer does not see the ad of the product will be;
P( M ∪ T )' = 1 - P( M ∪ T )
= 1 - 0.1728
= 0.8272
Now, the probability that a randomly selected potential customer will purchase the product will be;
P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex] )P( M ∪ T )'
P(P) = (0.2)(0.1728) + (0.1)(0.8272)
= 0.03456 + 0.08272
P(P) = 0.11728
Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728
help please I will appreciate it.
Answer:
The area is 6[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using the Pythagorean Theorem, you'll get that half the base is [tex]\sqrt{45}[/tex], so the entire base is [tex]2\sqrt{45}[/tex]. Multiply that by the height and divide by two, you'll get that the area of this triangle is 6
Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis
Please help! I don’t understand!
Find the missing length indicated. Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of the 45-45-90 triangle is [tex]\sqrt{2}(9\sqrt{2} ) = 18[/tex]
The hypotenuse of the 45-45-90 triangle is also the shorter leg of the
30-60-90 triangle
The longer leg = x = shorter leg times [tex]\sqrt{3\\}[/tex] = 18[tex]\sqrt{3\\}[/tex]
0.75 times what equals 3
What is the answer
Answer:
4
3/.75=4
divide 3 by point seven five
laShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answer:
C. 2 years at 6.5 percent
Step-by-step explanation:
I took the quiz and got it right Edg.2021
44. Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed, with a standard deviation of 0.02 mm. (a) What proportion of ball bearings has a diameter more than 5.03 mm
Answer:
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).
This means that [tex]\mu = 5[/tex]
With a standard deviation of 0.02 mm.
This means that [tex]\sigma = 0.02[/tex]
(a) What proportion of ball bearings has a diameter more than 5.03 mm
This is 1 subtracted by the pvalue of Z when X = 5.03. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.03 - 5}{0.02}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Graph a solution of x - 6 > 3
Please help!!!!!! AAA
Answer:
D is correct
Step-by-step explanation:
1/12^3
How many molecules are in 35 gram sample of H2O
Answer:
The answer is 12.044*10^23 molecules of H2O
Exit Ticket 1/12 (A.2E, A.ZF)
What is the slope of a line perpendicular to a line with slope -6/5?
Answer:
5/6
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
-6/5
6/5
5/6,,
how many times greater is 6x10⁹ than 3x10²
Solve for d in terms of r.
r=d/2
d=
Answer:
Step-by-step explanation:
r=d÷2
Multiply both sides by 2
d=2r
Please mark brainliest.
d = 2r
What is simplification?Simplification means to make any equation simple or any large equations to a simple form, simplification can be done with mathematical formula and done for all operators in mathematics.
Given r = d/2
when we transfer digits to other sides of equal they change their sign,
plus tends to minus or vice versa,
and multiply tends to divide or vice versa.
so d = 2r
Hence the solution for d is 2r
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Taylor opened a savings account with $425. After 2 years, the total interest earned was $10.20. What was the annual interest rate?
Answer:
R = 1.2%
Step-by-step explanation:
Given the following data;
Principal = 425
Time = 2
Simple interest = 10.20
To find the annual interest rate;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest. P is the principal. R is the interest rate. T is the time.Substituting into the equation, we have;
[tex] 10.20 = \frac {425*R*2}{100} [/tex]
[tex] 10.20 = \frac {850R}{100} [/tex]
Cross-multiplying, we have;
[tex] 1020 = 850R [/tex]
[tex] R = \frac {1020}{850} [/tex]
R = 1.2%
Therefore, the annual interest rate is 1.2 percent.
Find the value of x in the triangle shown below
Answer:
Step-by-step explanation:
x=[tex]\sqrt{12^{2} +16^{2} }[/tex]
x=20
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)
What times what equals -40 and add to make -3
Answer:
-8 and 5
Step-by-step explanation:
-8 × 5 = -40
-8 + 5 = -3
What is the complement of a 89° angle?
Answer:
the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
find the l distance between (-13,3.5) and (17,2)
while shopping, betting spent five times as much as meg. if they spent a total of $108, how much did each person spend?
Answer:
meg spen $18 and betting spent $90
Step-by-step explanation:
Here are eight angles. Which of these angles are acute angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are acute, type A, B, F.
Please help me!
Answer:a and b
Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C