Answer:
12
Step-by-step explanation
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
Very confused. Will give 40pts.
Answer:
Y = 10.25 or 10.247
Step-by-step explanation:
Alright So use the Formula A^2 + B^2 = C^2
You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.
Next, you need to find 16^2 = 256.
Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105
Finally, you take 105 and find its square root.
And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)
Hope this helps!
Please help!!
How do I rewrite this expression into radical form??
Convert 30% into a fraction and shade the circle according to the result.
Answer:
3/10 shade 3 in
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
AE = 14.6 I think. If I'm wrong, use whatever number it is.
Sin(x) = 5/14.6
Sin(x) = 0.3425
x = Sin-1 (0.3425)
x =20.03
Now the other larger triangle has an acute angle of 90 -20.03 = 69.97
===================
Cos(69.97) = 13.1/DE
DE = 13.1/cos(69.97)
DE = 38.25
Help please! I’m bad at math
Answer:
The answer should be 40
Step-by-step explanation:
85+55=140
180-140=40
please help me . weak in here
9514 1404 393
Answer:
x = 10√3
Step-by-step explanation:
The Pythagorean theorem tells you ...
FB^2 = BC^2 +CF^2
FA^2 = FB^2 +BA^2
Substituting for FB^2, we have ...
FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2
FA^2 = 3x^2
FA = x√3 = 30 . . . . take the square root and substitute for FA
x = 30/√3
x = 10√3
What is 2 times 2? It would be really helpful.
Answer:
2*2=4
Step-by-step explanation:
If the measure of two sides of the triangle are 3 feet's and 7 feet's, which is the least possible whole number measure for the third side
Answer:
5 feet
Step-by-step explanation:
By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.
Let x feet be the length of the third side.
We have 3+x>7, x+7>3 and 3+7>x.
Solving these, we get x > 4, x > -4 and x < 10.
The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.
Therefore the answer is 5 feet.
I need help and for the other select it’s are or are not
Answer:
Step-by-step explanation:
It's clear from the graph that the angles of the given triangles are different.
And for similarity of two triangles, at least two angles of the triangles should be congruent.
Therefore, both the triangles are not similar.
The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded
did you get ittttt???
please help me out
Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).
Answer:
Step-by-step explanation:
It's a simple question as we know:
y-y1=m(x-x1)
y-20=12(x-3)
y=12x-36+20
y=12x-16
Now, your line is in slope intercept form you can compare it with
y=mx+c
m=12 and c=16. You can also put your point to verify your answer.
What is the slope of a line perpendicular to the line whose equation is x−2y=12.
Answer:
-2/x
Step-by-step explanation:
simplified is y = -x/2 - 6
Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.
Example if slope= -2, the reciprocal= -1/2
Just flip the numerator with the denominator for perpendicular slope
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F
Answer:
A. 35°C.
Step-by-step explanation:
35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.
So, you answer is 35°c.
Find the area of each geometric figure or product of the polynomial.
(5n + 3)
A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9
Which is an irrational number
Answer:
D
Step-by-step explanation:
Because pi never ends.
Hence, D (π) is a irrational number.
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
I NEED HELP PLEASE !!!!!
Answer:
The distance between points A and B is 3 units
Step-by-step explanation:
We need to find distance between points on the number line.
The points given are:
A = -1 , B = 2
The formula used is: [tex]Distance = |b-a|[/tex]
Putting values of a and b and finding answer:
[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]
So, The distance between points A and B is 3 units
Answer the following. a) Find h b) Find x
Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
A group from school went on a field trip to visit the State Capitol. There were 61 total people. Approximately 15% of these adults. The rest were students. How many of the group was students?
Answer:
52 students or 51
Step-by-step explanation:
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Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )
Answer:
9 years ( approximately)
Step-by-step explanation:
900(1.03)^t = 1200
(1.03)^t= 1.33
( 1.03)^t= ( 1.03)^9
So, t= 9
Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3
6x^3 -x^2-10x-3 by 2x-3
Answer:
Quotient : 3x² + 5x + 1
Step-by-step explanation:
Simplify the following and express the result in positive exponential form
( 3/11)-2 x ( 3/11)-5
Answer:
Step-by-step explanation:
Solution:
Your problem → (3/11)-2 x (3/11)-5
(3/11)-2x(3/11)-5
=(3/11)-2x × (3/11)-5
=(3/11)-(6x/11)-5
=(3-6x-5×11)/11
=3-6x-55/11
=(-52-6x)/11
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5
Answer:
7 / 15= 0.47
Step-by-step explanation:
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Help pls ill mark brainliest
Answer:
<XWY= 180-23
Step-by-step explanation:
angles on a straight line add up to 180!
hope it helps! please mark me brainliest
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Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.