Answer:
2/5
Step-by-step explanation:
Rearrange terms:
4(2 + a) = 24a
4(a + 2) = 24a
Distrbute:
4(a + 2) = 24a
4a + 8 = 24a
Subtract 8 from both sides of the equation:
4a + 8 = 24a
4a + 8-8 = 24a-8
Simplify:
4a = 24a - 8
Subtract 24a from both sides of the equation:
4a = 24a - 8
4a - 24a = 24a - 8 - 24a
Combine like terms:
-20a = -8
Divide both sides of the equation by the same term:
-20a = -8
-20a/-20 = -8/-20
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
a = 2/5
I hope that helps! :D
By 27leejaey37st term: 9, 3, -3, -9, -15
Answer:
Step-by-step explanation:
The first term (a) = 9
the 37th term is what we want (n = 37)
d = - 6
t_37 = 9 + (n - 1) * (-6)
t_37 = 9 + 36 * - 6
t_37 = 9 - 216
t_37 = - 207
A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.
Answer:
Number of calls expected in next week by manager = 7940
Average Number of calls that call center agent will attend in an hour =7 calls
It is also given that, Call center remain open for 10 hours 5 days a week.
Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week ,Part time agents work 20 hours a week but are only on calls 17 hours per week .
⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940
⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940
Option A
⇒35×15×7+17×7×15
= 3675+1785
= 5460
Option B
⇒35 ×7×20+17×7×7
=4900 +833
= 5733
Option C
⇒35×20×7 +17×20×7
=4900+2380
=7280
Option D
⇒25 × 35×7+17×7×5
=6125 +595
=6720
Option E
⇒28×35×7+17×7×10
=6860+1190
=8050
Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.
Consider the following patter: -18, X, -10, -6, -2
The value of x in this pattern is
Answer:
-14
Step-by-step explanation:
(-6)-(-2)= -4
(-10)-(-6)= -4
therefore there is a 4 number Gap between them:
(-10) + (-4) = -14
HELP
A watermelon is shot out of an air cannon and travels 22 yards. How many feet does the watermelon travel?
Which conversion factor could you use to answer the question?
Answer:
1 yard = 3 feet
so...
22 yards = 3 (22)
3 x 22 = 66
conversion factor: 3/1
Step-by-step explanation:
Answer:
3 feet over 1 yard
Step-by-step explanation:
enjoy
et.
n
4. Elena's account balance with her parents is
-$5.50. She adds a certain amount of
money to her balance by mowing the lawn.
Elena now has an account balance less than
$20. Determine a possible amount she
earned mowing the lawn. Then interpret the
solution. (Example 1) moll end to bi
Answer:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Step-by-step explanation:
Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.
Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.
All they give us is that Elena has less than $20 in her bank account.
So your answer may look like this:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Elena earned, amount more than -$5.50 and less than $20 by mowing the lawn.
What is Inequality?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
For example, x>3 (x should be greater than 3)
Given,
Account balance of Elena with her parents = -$5.50.
Which means she is in debt of $5.50.
Elena then adds a certain amount of money to her balance by mowing the lawn,
which may have paid off her debt, that is not sure.
But,
Account balance of Elena after mowing the lawn is more than - $5.50 less than $20.
Let the money Elena earned by Elena earned mowing the lawn = x
Then,
Possible amount she earned mowing the lawn = -$5.50 < x <$20.
Hence, Possible amount Elena earned mowing the lawn is
between -$5.50 and $20 = -$5.50 < x < 20.
Learn more about inequality here:
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Explain one way to verify that the corresponding angles of two triangles are congruent
Answer:
Both angles same length same
Step-by-step explanation:
What is the equation of the line that passes through the point (-5,-6) and has a slope of 3/5?
Answer:
y=3/5x-3
Step-by-step explanation:
First, put the slope in point-slope form: y-y1=x(x-x1)
y+6=3/5(x+5)
Distribute 3/5 to (x+5) and simplify.
y+6=3/5x+3
y=3/5x-3
Simplify. 23+4⋅8
A. 40
B. 80
C. 96
D. 160
Answer:
A i guess
Step-by-step explanation:
23 + 4 ⋅ 8
I got the answer 55 so see what is close to 55
Answer:
2 ^ 3 + 4 * 8 = 40
Step-by-step explanation:
So going by the order of operations, PEMDAS,
There are not parenthesis so we can skip that part.
exponents on the other hand we have 2^3. Don't be fooled. It's not 2 * 3. What you have to do is multiply 2 by itself 3 times. So 2 * 2 * 2 = 8. Step one Done!
The M in PEMDAS is multiplication! So we solve that part next! 4 * 8 = 32. Step 2 Done!
Now for the final step, for A in PEMDAS you have to add both sums together. 8 + 32 = 40
Final answer: 40
I hope this helps! <3
In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?
Choose 1 answer:
A. Jean-Paul
B. Albert
Which friend's bank balance has a greater absolute value?
Choose 1 answer:
A. Jean-Paul
B. Albert
−4/3r=−7
what is the (r)?
Answer:
r = 21/3 ( Assuming the question is (-4/3) * r = 7)
Step-by-step explanation:
The cost of a magazine is $x and the cost of a newspaper is $(x -3). The total cost of 6 magazines and 9 newspapers is $51. Write down and solve an equation in x to find the cost of a magazine,
See attachment for math work and set up. Use the substitution method to find x.
E
Question 5/8
> NEXT
5
Cherie accepted a job through an employment agency. The job pays $1,100 weekly. The
agency charges 22% of her first three months, pay. How much money will the
employment agency receive for placing Cherie in her new job? (Round to the nearest
dollar.)
Answer: $2,904
1,100x4 than multiply by .22 then with that you multiply by 3.
$726 money will the employment agency receive for placing Cherie in her new job.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Cherie accepted a job through an employment agency
The job pays $1,100 weekly.
The agency charges 22% of her first three months, pay.
22% of 1100 we have to calculate.
First we have to convert 22% to decimal
22/100=0.22
0.22×1100=242
Now for three months we need to calculate.
3×242
$726
Hence, $726 money will the employment agency receive for placing Cherie in her new job.
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50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m
9514 1404 393
Answer:
d. 50 x 10^-2 m
Step-by-step explanation:
"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...
50 cm = 50×10^-2 m
Someone help plzzzzz
Answer:
for the first box the answer is 4x but I dont know the y intercept
Step-by-step explanation:
get 2 points the do y2-y1/x2-x1 then you get your x
i need help on this one
Answer:
Is g(x)
Step-by-step explanation:
We search the roots of the function on this way
(x-1)^2 (x+2) =0
(x-1)^2 =0
x-1=[tex]\sqrt{0}[/tex]
x=1 ////
(x+2)=0
x=-2 ////
So (1,0) and (-2,0) are the roots of the function (as the image)
True or false:triangle angle some theorem is when all of them interior (inside)angles of a triangle add up to 180°?
Answer:
true
Step-by-step explanation:
The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°. The bisectors of all the three interior angles intersect inside a triangle at a point called the in-center, which is the center of the in-circle of the triangle.
If using the method of completing the square to solve the quadratic equation
x2 – 9x + 38 0, which number would have to be added to "complete the
square"?
=
Answer:
81/4
Step-by-step explanation:
Given the equation x^2 – 9x + 38 = 0
Subtract 38 from both sides
x^2 – 9x + 38 - 38= 0 - 38
x^2 - 9x = -38
Next is to complete the square, to do this we will add the square of the half of coefficient of x to both sides as shown;
Coefficient of x is - 9
Half of -9 will be (-9/2)
Squaring the result will give (-9/2)² = 81/4
Hence the number that would have to be added to "complete the
square" is 81/4 to have;
x^2 - 9x + 81/4= -38 + 81/4
(x-9/2)² = -38 + 81/4
Hence the required value is 81/4
In ABC, if mA is six less than 7 times x, mB is five less than three times x, and mC is five less than four times x, find x and the measure of each angle
Answer:
a=92 b=37 c=51
Step-by-step explanation:
a= 7x-6
b=3x-5
c=4x-5
7x-6+3x-5+4x-5=180
14x-16=180
14x=196
x=14
please solve 2x^2 -4x - 48 = 0
Answer:
-4, 6
Step-by-step explanation:
[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]
Can someone help with this please?
Answer:
a) Function 1 has the greatest y-intercept
b) Only function 2 has a slope less than -2
c) Function 4 has the least steep slope
Answer:
1. Function 1
2. Function 2
3. Function 4
Step-by-step explanation:
y-intercept: Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2
- Function 1 has the highest y-intercept
slope less than -2: Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1
- Function 2 has a slope lower than -2
least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1
- Function 4 has the steepest graph
Bouncing Baby Company sells their cribs for the following amounts to stores
Number of Cnbs
10
Price
$1320
50
S6600
Which of the following statements about the price of the cribs are true if the price remains proportional to the number of cribs Select TWO that apply.
A. 6 cribs cost $600
B. 22 anos cost $2640
C. 40 cribs cost $5280
D. 55 cribs cost $7920
E. 80 cribs cost $10.500
F. 250 cribs cost $11 880
Answer:
Option C
Step-by-step explanation:
Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,
P ∝ N
P = kN
Here 'k' is the proportionality constant
To get the value of proportionality constant,
Since, value of 10 cribs is $1320
1320 = k(10)
k = 132
Therefore, equation will be
P = 132N
Option A
If number of cribs = 6
P = 132(6) = $792
False.
Option B
For N = 22
P = 132(22) = $2904
False.
Option C
For N = 40
P = 132(40) = $5280
True
Option D
For N = 55
P = 132(55) = $7260
False
Option E
For N = 80
P = 132(80)
= $10560
False
Option F
For N = 250
P = 132(250)
= $33000
False
If the given options have been written correctly only one option, Option (C) is correct.
Given the functions f(x)=6x-3 and h(x)=10x+5, find the value of x for which f(x)=h(x)
Answer:
The functions equal each other when x=-2.
Step-by-step explanation:
Setting the functions equal to each other gives you:
6x-3=10x+5.
Consolidating the variables and constants, you get:
4x=-8.
Solving for x gives you:
x=-2.
The area of a rectangular painting is 8428 cm² If the width of the painting is 86 cm, what is its length?
9514 1404 393
Answer:
98 cm
Step-by-step explanation:
Area is the product of length and width. Fill in the given numbers in the formula and solve for length:
A = LW
8428 cm² = (86 cm)L
L = 8428 cm²/(86 cm) = 98 cm . . . . . divide both sides by 86 cm
The length of the painting is 98 cm.
alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?
Answer:
OK
Step-by-step explanation:
LOL SO WHAT I . DID
IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3
For which set of values is y a function of x? x у
-1 6
0 8
1 1 10
2 12
Answer:
Step-by-step explanation
umm this not even real bro
A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?
Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.
Answer:
Step-by-step explanation:
Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.
f(0) =4 and f(2)=8 slope intercept form of the equation of the line
Answer:
y=2x+4 or f(x)=2x+4
Step-by-step explanation:
f(0)=4 is (0,4) and f(2)=8 is (2,8)
first, find the slope using the equation y2-y1/x2-x1
8-4/2-0
4/2
2
now, take one of the points, and put it into the equation y2-y1=m(x-x1) (m is slope)
take (0,4) for example
y-4=2(x-0)
y-4=2x
y=2x+4
y=f(x)
so, substitute as
f(x)=2x+4
hope this helps!
Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M
Answer: 1 625.5cm or 16.255m
Step-by-step explanation:
convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.
convert the cm measurements back to m measurements (i only assume because you said . m at the end)
The total amount of fabric she cut is 17.255 m .
The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.
In order to add the different lengths, the lengths have to be in meters.
100cm - 1 meter
475cm = 475 / 100 = 4.75m
245cm = 245 / 100 = 2.45m
Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m
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Select the correct answer.
Which inequality represents all the solutions of -2(3x+6) = 4(x +7)
WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for $ 2.95 per pound and s pounds of sugar for $0.72 per pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s
Answer:
1pound of granola= $3.25
g pound of granola=g*3.25
=3.25g$
1 pound of flour = 0.74$
f pound of flour = f*0.74
= 0.74f$
The expression to determine the total cost of buying the above items= (3.25g+0.74f)
Step-by-step explanation: