What is the solution to this equation?
-0.20(x– 20) = 44-x
A x= -90
B. X=-50
C. x = 50
D. X=90
x=50 is the solution to the equation -0.20(x– 20) = 44-x. So, option C is correct.
Solution to an equation means that value of the variable for which the equation is satisfied.
Given the following equation:
-0.20(x– 20) = 44-x
A
To check x=-90 is the solution:
Put x=-90 in the given equation
LHS=-0.20(x– 20)
=-0.20(-90-20)
=-0.2(-110)
LHS=22
RHS= 44-x
=44-(-90)
RHS=134
LHS≠RHS
Thus, x=-90 is not the solution.
B
To check x=-50 is the solution:
Put x=-50 in the given equation
LHS=-0.20(x– 20)
=-0.20(-50-20)
=-0.2(-70)
LHS=14
RHS= 44-x
=44-(-50)
RHS=94
LHS≠RHS
Thus, x=-50 is not the solution.
C
To check x=50 is the solution:
Put x=50 in the given equuation
LHS=-0.20(x– 20)
=-0.20(50-20)
=-0.2(30)
LHS=-6
RHS= 44-x
=44-(50)
RHS=-6
LHS=RHS
Thus, x=50 is not the solution.
D
To check x=90 is the solution:
Put x=90 in the given equation
LHS=-0.20(x– 20)
=-0.20(90-20)
=-0.2(70)
LHS=14
RHS= 44-x
=44-(90)
RHS=-54
LHS≠RHS
Thus, x=-90 is not the solution.
Thus x=50 is the solution to the given equation. So, option C is correct.
Learn more about equation, here:
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Simplify the square root as much as possible. Square root 338
Answer:
13√2 is the answer in surd form
Do the ratios 8:24, and 5:15 form a proportion
yes
no
Answer:
Yes they do, the proportion of 1:3 as 1 x 8=8, and 3 x 8=24, and 5 x 1=5, and 5 x 3=15
Step-by-step explanation:
Please help ASAP
If U = {all teachers), M = {mathematics teachers) and W = {teachers who are women), show on a Venn diagram the set of all mathematics teachers who are men.
Answer: See the diagram below
Specifically, refer to figure 4.
==========================================================
The set U is the universal set. It represents every teacher. Let's draw this as a rectangle. Divide the rectangle so that one portion represents female teachers, and the other represents male teachers. I'll use a vertical line to divide the universal set.
Now draw a circle such that one portion of the circle is in the "male teacher" region and the other portion of the circle is in the "female teacher" region. Lastly, shade the region inside the circle that is also in the male teacher region. The diagram below shows the step by step process.
Figure 1 is the rectangle representing the universal set, which in this case is the set of all teachers.
Figure 2 splits up set U into female teachers on the left and male teachers on the right.
Figure 3 adds a circle, set M, to represent all math teachers. This circle spans the male and female teacher regions, since we can have either male or female math teachers.
Figure 4 adds labels A,B,C,D such that
A = set of female teachers that don't teach mathB = set of female teachers that teach mathC = set of male teachers that teach math. This region is highlighted to answer the question your teacher provided.D = set of male teachers that don't teach mathThere are no gaps or overlaps between any of the A,B,C,D regions. We consider these regions to be mutually exclusive. If a person is in region B for instance, then they cannot be in any other region. This is assuming no person teaches more than one subject. Note how regions A,B,C,D completely fill the set U, and do so without any gaps or overlaps. So we can say that set U is partitioned into those four regions.
Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Step-by-step explanation:
Start by grouping the variables (basically reorganizing)
12a - 16a + 26b - 4b
subtract like terms
-4a + 22b
Your answer is c
I hope this helps!!!!!
Pls help me If your good at math I’ll give brainliest
Convert 1/15 to a decimal. Enter the decimal using an ellipsis, and then enter the decimal using an overbar. Write the repeating digit three times. Enter the correct answer in the box. Write the digits that re
Answer:
The decimal form of [tex]\frac{1}{15} = 0.0666... = 0.0\overline{666}[/tex].
Step-by-step explanation:
We proceed to find the decimal form of [tex]\frac{1}{15}[/tex], whose description is found below:
1) Multiplying the numerator by 100 and dividing it by 15:
Partial result: 0.06, Remainder: 10
2) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.066, Remainder: 10
3) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.0666, Remainder: 10
Since the decimal number is a infinite and periodical, we conclude that decimal form of [tex]\frac{1}{15} = 0.0666... = 0.0\overline{666}[/tex].
The sum of two integers is 5. Their difference is 11. What are
the two integers?
HURRY
Answer:
ggggvx
Step-by-step explanation:
cddfvdcvv
Find the value of:
3 x 5²
Answer: 75
HOPE THIS HELPS :)
Please please help me please
Answer:
1st option is the answer
Step-by-step explanation:
blue line: slope is 1 and y-intercept is 1; therefore equation is y= x + 1
red line: slope is -1 and y-intercept is -3; therefore equation is y= -x - 3
What is the solution to in (x^2 - 16) = 0?
x ± square root of 17.
x = ±4.
x = ± square root of 32.
Answer:
x=+or-4...…............
Answer:
A
Step-by-step explanation:
got it right
if 3 is related to 4 then 8 is related to
Answer:
9 most likely
Step-by-step explanation:
This is because 3 is one away from 4, so 8 is one away from 9.
Answer:
The answer is 9.
Step-by-step explanation:
3 Relates To 4.
8 Relates To 9.
What is the slope of the line that passes through the following points ?
(8,5) and (2,3)
Answer:
The slope of the lines is 1/3
Step-by-step explanation:
Since I can't graph it, I can make a table
x y
8 5
2 3
From 5 to 3, you subtract 2 (this is for the y section)
From 8 to 2, you subtract 6 (this is for the x section)
Now all you have to do is divide y by x....
y/x = 2/6 = 1/3 (when simplified)
Hope this helped!
9-3x/4+20y for x=4 and y=5
Answer:
106
Step-by-step explanation:
cauclator
Layne rode his bike from Point A to B by using Cherry Street. How much further would his trip have been if he took Orange Drive and Peach Avenue instead?
37 yards
14 yards
8 yards
28 yards
74 students choose to attend one of three after school activities: football, tennis or running. There are 49 boys. 16 students choose football, of which 6 are girls. 28 students choose tennis. 8 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form
Answer:
The probability that student chose running is [tex]\frac{30}{74}[/tex].
Step-by-step explanation:
Consider the provided information.
74 students choose to attend one of three after-school activities: football, tennis, or running.
16 students choose football, 28 students choose tennis.
The students choose running = 74 - 16 - 28
The students choose running = 30
It means out of 74 students 30 choose running.
[tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability of Running}=\frac{30}{74}[/tex]
Hence, the probability that student chose running is [tex]\frac{30}{74}[/tex].
1 yard is equal to 3 feet. How many feet are in 30 yards?
Answer: 90 feet
Step-by-step explanation: 1y : 3f = 30y : 90f
Answer:
90 feet
Step-by-step explanation:
All you need to do is to multiply 30 by 3. This is because you are trying to see how many 3 feet are in 30 yards.
Tommy earned $5 mowing the lawn on Saturday. He earned more money on Sunday. Write an equation that shows the amount of money Tom has earned
Answer:
f(x)=2x+5
Step-by-step explanation:
If you think about it, 5 is the y intercept, meaning the money he earn that day. While Sunday, he earned more which is the Slope of 2x because its 2 times the number. And you add them together, and there you go.
if two angles are congruent, their ____________ are the same
Answer:
Sides
Step-by-step explanation:
The sides will be the same
Ann already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks w and the number of appetizer recipes a.
PLS ANSWER AS QUICK AS YOU CAN! I WILL MARK YOU BRAINLIEST!!!!
Answer:
Step-by-step explanation:
x = number of weeks, y = number of appetizer recipes
: 4+3x=y
: 4+3(18)=58
: 2*18=36
36+18=54
54+4=58
Answer:
58
Step-by-step explanation:
.....................
In 5043 what number is in the hundreds place? please hurry! thank you!
Answer:
0
Step-by-step explanation:
Answer:
0 is in the hundredths place.
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer:
The answer is D
Step-by-step explanation:
D is the point where the two lines intersect and therefore it is the solution of the line
The ages of three siblings are consecutive integers. The sum of their ages is 42. Calculate their ages. *
Answer:
13, 14, 15
Step-by-step explanation:
Let x = age of one of the siblings
Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2
x +( x +1) + (x +2) = 42
3x + 3 = 42
collect like terms and solve for x
x = 13
The age of the first sibling is 13
The age of the second sibling is x + 1 = 13 + 1 = 14
The age of the third sibling is x + 2 = 13 + 2 = 15
Which is the larger value: 2 x 106 or 9 x 105?
Explain how you know.
Answer:
9 x 105
Step-by-step explanation:
if you round both numbers to 100 and times them by 2 and 9
2 x100 gives 200
whereas 9 x 100 gives 900
What is the coefficients in the following expression
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Help me !! And show your work
Describe the advantages you see in using a rule for a function rather than listing function values in a table.
Answer:
Using a rule is direct and not time wasting, which is not the case for listing functions
The local museum had 10,000 visitors in 1995.
The number of visitors has increased by 5% each year since 1995.
7
Enter a function m(x) to represent the number of visitors to the museum x years after 1995.
Answer:
Step-by-step explanation:
Vbvvbnn. N m
please help asap!!!!!
Answer:
61% close to 3/5 but its just 61/100
Step-by-step explanation:
First add up all the times rolled in or equal to number 4 rolled
thats 61 now we need to find the total which when added is an even 100 so its a 61% chance
Can someone answer this for me please.