Answer:
x = -28/11
Step-by-step explanation:
-2(4x + -4) - 3x - 2 =34
Distribute
-8x+8 -3x-2 =34
Combine like terms
-11x +6 = 34
Subtract 6 from each side
-11x+6-6 = 34-6
-11x = 28
Divide each side by -11
-11x/-11 = 28/-11
x = -28/11
Answer:
x= -28/11
Step-by-step explanation:
Multiply -2 by 4x +4
That equals -8x+8
So the equation is now
-8x+8+3x -2 = 34
Now combine like terms
11x+6=34
Subtract 6 from both sides
11x=28
divide by 11 on both sides
x = -28/11
sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?
Answer:
34
Step-by-step explanation:
We can solve this equation by giving Sara's number a variable.
Let it be x.
Then we solve by simply interpreting the problem step by step.
"If you subtract 14 from my number..."
x - 14
"...and multiply the different by -4..."
-4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation, we can solve for x.
1.) Use distributive property to expand.
-4x + 56 = -80
2.) Subtract 56 from both sides
-4x = -136
3.) Divide by -4
x = 34
Sara's number is 34
Using distributive property to expand, it is found that Sara's number is; 34
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We need to solve this equation by giving Sara's number a variable.
Let the Sara's number a variable be x.
Then we solve by simply interpreting "If you subtract 14 from my number..." means
x - 14
Then "...and multiply the different by -4..." means -4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation,
1.) Use distributive property to expand;
-4x + 56 = -80
Subtract 56 from both sides;
-4x = -136
Now Divide by -4
x = 34
Hence, Sara's number is; 34
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Questions:
1. How do you solve for a specific variable?
2. Why would you want to solve for a specific variable?
3. Show an example of solving for a specific variable.
A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?
Answer:
$6
Step-by-step explanation:
If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.
Step by step order ....
Answer:
Step-by-step explanation:
1. Determine the LCM of the denominators LCM=10
2. Multiply each piece of the equation by the common denominator.
3. 2x + 5 = 40
4. Subtract 5 from both sides
5. 2x = 35
6. Divide both sides by 2
7. x = 35/2
What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A.y= 3/5x+4/5 B.y= 3/5x-4/5 C.y=-3/5x-4/5
Slope-intercept form: y = mx + b
m = the slope
b = y-intercept.
In this problem,
m = 3/5
b = ?
So far y = 3/5x + b
Let's plug the point (-3, -1) into our slope equation.
-1 = 3/5(-3) + b
Simplify the right side.
-1 = -9/5 + b
Add 9/5 to both sides.
4/5 = b
The equation is: y = 3/5x + 4/5
Answer choice A is correct.
Algebra 1) The steps below show the solution to the equation 3 ( x − 2 ) = 2 ( x − 3 ) order the reasons for the steps. Options at the bottom. (WILL GIVE BRANLIEST)
Answer:
See the steps below.
Step-by-step explanation:
1. Distributive Property
2. Multiply
3. Addition and Subtraction property of equation.
4. Add and Subtract
Best Regards!
Hi.
I need help with these questions
Please show workings
The remaining options for No 49 are :
a. 40k
B. 60k
C. N1.40
D. 1.60
E. No change
Note : (100k = N1)
Answer: 48) D. 4 49) C. N1.40
Step-by-step explanation:
A $2 postal money order actually costs $2.15
$10.00 ÷ $2.15 = 4.65
Since you can't purchase a fraction of a money order, the most you can buy is 4
4 money orders will cost $2.15 × 4 = $8.60
The change from $10.00 will be $10.00 - $8.60 = $1.40
The department manager recorded the number of sick days taken last year by each employee, as shown in the table. What is the mean number of days employees were sick? Round to the nearest hundredth. A. 4.57 days B. 5.57 days C. 4.43 days D. 3.86 days I WILL MAKE U BRAINLLEST IF YOU ANSWER COREECTLY!!!!!!!
In 5.......4........3.......2......1...... ANSWER
Answer:
It's C
Step-by-step explanation:
The mean number of days employee were sick is 4.43 days.
Option C is correct.
Here,
Given that;
The department manager recorded the number of sick days taken last year by each employee, as shown in the table.
We have to find the mean number of days employee were sick.
What is Mean?
The average of the given numbers is called Mean and is calculated by dividing the sum of given numbers by the total number of numbers.
Now,
In given table;
Number of sick days are,
7, 4, 2, 6, 4, 5, 3
Hence,
Mean number of days employee were sick = [tex]\frac{7+4+2+6+4+5+3}{7}[/tex] [tex]= \frac{31}{7}[/tex][tex]= 4.4285[/tex]
Now, Rounding the number to the nearest hundredth we get;
Mean of number of days employee were sick = 4.43 days
Hence, The mean number of days employee were sick is 4.43 days.
Option C is correct.
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Among other ingredients, a recipe for paella calls for 3/4 pound of chorizo and 1/2 cups of rice. What is the unit rate of pound of chorizo to cups of rice in the recipe?
A. 3/10 pound of chorizo per cup of rice
B. 8/15 pound of chroizo per cup of rice
C. 1 7/8 pound of chorizo per cup of rice
D. 3 1/3 pound of chorizo per cup of rice
Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?
Answer:
i smell penys
Step-by-step explanation:
2xº
(8x - 10°
a. Solve for x
b. Find the measure of the angle on the right
c. Find the measure of the angle on the left
Step-by-step explanation:
2x + 7x - 10 = 180° because these rwo angles are supplementary
10x - 10 = 180°
10x = 190° divide both sides by 10
x = 19
measure of angle on the right:
8x - 10 ➡ 8 × 19 - 10 = 142°
measure of angle on the left:
2x ➡ 2 × 19 = 38°
3x + 6y =3 x - y = -7 Does the system have: no solutions, infinite solutions, or one solution?
Answer:
Step-by-step explanation:
3x + 6y = 3
x - y = -7
3x + 6y = 3
-3x - 3y = 21
3y = 24
y = 8
x - 8 = -7
x = 1
(1, 8)
answer is one solution
4x - 5y = 15 solve for y
Answer:
[tex]y=-\frac{15-4x}{5}[/tex]
Step-by-step explanation:
[tex]4x-5y=15[/tex]
Subtract 4x from both sides:
[tex]4x-5y-4x=15-4x[/tex]
[tex]-5y=15-4x[/tex]
Divide both sides by -5:
[tex]\frac{-5y}{-5}=\frac{15-4x}{-5}[/tex]
[tex]y=-\frac{15-4x}{5}[/tex]
What is the domain of the function shown on the graph?
A. -10 < x < 2
B. x ≤ 1
C. -∞ < x < ∞
D. x ≤ 2
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values can be any number. Therefore, we have all real numbers as our domain:
(-∞, ∞) or -∞ < x < ∞
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Plato
The length of a rectangle is 4 cm longer than its width.
If the perimeter of the rectangle is 60 cm, find its length and width.
Hope it helped
Thank YouThe graph shows the temperature of a liquid that is being heated during an
experiment.
Answer:
#4 bottom right
Step-by-step explanation:
It is being changed at 4 degrees per minute so in 10 minutes it would be 40 not 52
Find the slope of the line that passes through point (2,8) and point (9,7).
Answer:
m = -1/7
Step-by-step explanation:
7 - 8 = -1
9 - 2 = 7
m = -1/7
You spin the spinner twice.
4.
1
3
2.
lands on 2 What is the probability of landing on a number less than 4 and then landing on a 3?
Answer:
The Answer is 1 and 4
Step-by-step explanation:
Because there is only 4 numbers.
Point B ∈ AC . Points K, M, N, and P are the midpoints of AB , AC , MC , and NC , respectively. Write a congruency statement for each pair of congruent segments.
Answer:
AK = BK, AM = CM, MN = CN, NP = CP
Step-by-step explanation:
B ∈ AC
Points K, M, N, and P are the midpoints of AB , AC , MC , and NC
Then
K is midpoint of AB ⇒
AK = BKM is midpoint of AC ⇒
AM = CMN is midpoint of MC ⇒
MN = CNP is midpoint of NC ⇒
NP = CPNathan and his friends want to see the new movie, The Case of the Secret Doorway. It's a popular movie, so Nathan buys their tickets in advance. He spends $36.75 in all to buy 3 tickets. How much does each friend need to pay him back?
Answer:
$12.25
Step-by-step explanation:
Each of the 3 tickets costs 1/3 of the total:
(1/3)($36.75) = $12.25
Each friend needs to pay Nathan $12.25 for a ticket.
evaluate ( c + d ) 3 C=3 d=4
Answer:
The answer is 21
Step-by-step explanation: You substitue 3 for C and 4 for D and craete the equation [tex](3+4)3[/tex] so you add 3+4=7 and you get [tex](7)3[/tex] which is 7 times 3 =21
Ella works in the produce section at a grocery store. The store receives a shipment of green
and red apples that weighs 20.4 pounds in total. Ella separates the green and red apples into
bins by color. If red apples make up of the shipment by weight, how many pounds of
apples are green?
4
Answer:
74 is the answer please mark me as brainlist and also follow me
there are 48 people in gym class
5/8 of the people were in spin class
1/3 of the people were lifting weights
the remaining people were running
How many people were running?
Evaluate f(x) = 5x2 - 4x - 9 for f(-2)
Answer:
99
Step-by-step explanation:
5x^2 -4x -9
5(-2)^2 -4(-2) -9
-10^2 +8 -9
100-1
99
I need help, please.
A craft store sells boxes of two different varieties of colored pencils. The table shows the number of boxes sold last month. What is the total dollar amount of colored pencils sold?
Answer:
So the answer is 108.75
Step-by-step explanation:
15 * $4.25 = 63.75
12* $3.75 = 45
63.75 + 45 = 108.75.
Answer:108.75
The total dollar amount of coloured pencils sold is $108.75.
Given that, a craft store sells boxes of two different varieties of coloured pencils. The table shows the number of boxes sold last month.
We need to find what is the total dollar amount of coloured pencils sold.
What is the tally table?A tally table is a table that represents the occurrence of an event in a way that calculates it becomes easy.
Now, the cost of each pencil is $4.25.
Then the cost of 15 pencils=15×4.25=$63.75
The cost of each pencil is $3.75.
Then the cost of 12 pencils=12×3.75=$45
Total=63.75+45=$108.75
Therefore, the total dollar amount of coloured pencils sold is $108.75.
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find the unknown side length, x. write your answer in simplest radical form
What would be the actual length, if the length of the model is 25 ft and the scale factor is less
than one?
20 ft, 25 ft, Or 30 ft
Answer:
20ft
Explanation:
You multiply the model length by the scale factor to find the actual length. If the scale factor is less than zero, then the actual size will be smaller than the model. Therefore, your answer would be 20ft.
Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.
The actual length of the model will be 30 feet. Then the correct option is C.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The length of the model is 25 feet. And the scale factor is less than one.
We know that if the scale factor is from zero to one, then the size of the actual length increases.
If the scale factor is greater than zero, then the size of the actual length decrease.
And if the scale factor is one, then the size does not change.
The size of the actual length will be greater than 25 feet.
The actual length of the model will be 30 feet. Then the correct option is C.
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At the movies, children's tickets are $6 each and adult's tickets are $10 each.
Shandra buys 14 tickets. Let a be the number of adults going to the movies. Write
an algebraic expression to represent the total price Shandra pays.
Answer:
a + c = 14
14(Pa+Pc) = 10a + 6c
224 = 10a + 6c
Step-by-step explanation:
Price of Children's tickets = $6
Price of Adult's tickets = $10
Shandra buys 14 tickets
Let
Number of adults going to the movie = a
Number of children going to the movie = c
Total price shandra pays = PaQa + PcQc
Where,
Pa = price of adult's tickets
Qa = Quantity of adult's tickets
Pc = Price of children's tickets
Qc = Quantity of children's tickets
Total price = 14(Pa+Pc), that is
a + c = 14
14(Pa+Pc) = 10a + 6c
14(10 + 6) = 10a + 6c
140 + 84 = 10a + 6c
224 = 10a + 6c
PLEASE I NEED HELP :((((;((((
Answer:
Complete explanation is in the picture.
Step-by-step explanation: