Answers
Answer:
Caleb and Devon each bowled for [tex]10[/tex] hours and spent [tex]\$55[/tex].
Step-by-step explanation:
Equations:
Caleb: y = 4x + 15Devon: y = 5x + 5Where:
x = hours spent bowlingy = the total costSystem of equations:
[tex]\begin{cases}y=4x+15\\y=5x+5\end{cases}[/tex]
Solve for x
Step 1: Substitute the second equation into the first.
[tex]\implies 4x+15=5x+5[/tex]
Step 2: Subtract [tex]5x[/tex] from both sides
[tex]\implies 4x-5x+15=5x-5x+5[/tex]
[tex]\implies -x+15=5[/tex]
Step 3: Subtract [tex]15[/tex] from both sides.
[tex]\implies -x+15-15=5-15[/tex]
[tex]\implies -1x=-10[/tex]
Step 4: Divide both sides by [tex]-1[/tex] .
[tex]\implies \dfrac{-1x}{-1}=\dfrac{-10}{-1}[/tex]
[tex]\implies \boxed{x=10}[/tex]
Solve for y
Step 1: Substitute the found [tex]x[/tex] value into one of the system of equations.
[tex]\implies y=4(10)+15[/tex]
Step 2: Multiply and add.
[tex]\implies y=40+15[/tex]
[tex]\implies \boxed{y=55}[/tex]
Therefore, Caleb and Devon each bowled for 10 hours and spent $55.
Related Questions
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answers
Answer:
c and d
Step-by-step explanation:
they both have a percent increase >50
What’s the correct answer for this?
Answers
Answer:
201 minutes
Step-by-step explanation:
60 x 3 = 180
180 +21 = 201
The thiciness of a fingernail is about 1
Answers
The thickness of a fingernail is about 10^-5 inch
From the complete question, we have the following parameter
Thickness = 1/100000 inch
To represent the thickness in standard form, we do the following:
Express the thickness as a decimal
Thickness = 0.00001 inch
So, the standard form would be:
Thickness = 1 * 10^-5 inch
This gives
Thickness = 10^-5 inch
Hence, the complete statement is:
The thickness of a fingernail is about 10^-5 inch
Read more about standard forms at:
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I need help finding the answers
Answers
Answer:
Step-by-step explanation:
x + y = 4 ............. (1)
x = y - 16 ............ (2)
(2) -------> (1)
( y - 16 ) + y = 4
2y = 20
y = 10
x = - 6 The smaller number
Answer A a hexagon
Answer B a octagon
Answer C a rectangle
Answer D a trapezoid
Answers
Answer:
Our answer is
= (A) a hexagon
Step-by-step explanation:
8 sides
What is 392,682 to the nearest ten thousand
Answers
Answer:
pretty sure its 390,000
Step-by-step explanation:
A store is selling 5 cans of tomato sauce for 4.50 what is the unit price
Answers
Answer:All you have is multiply
4.50/5 = 0.9
The unit price is 0.9
Step-by-step explanation: I did it and got it right
Dominic and Candice are both selling cookie dough for a fundraiser. Although Dominic has already sold 5 tubs, Candice hasn't sold any yet. If Dominic starts selling 6 tubs per day and Candice begins selling 7 tubs per day, they will eventually sell the same amount of cookie dough. How many tubs will each sell? How many days will that take?
Answers
Answer:
5 days, 35 tubs
Step-by-step explanation:
We can create an equation.
Let d be the number of days it will take.
Note that in all Dominic will have sold 6d + 5 tubs, and Candice 7d.
So, if 6d - 5 = 7d then d = 5.
So, it will take 5 days, and each will have sold 6 * 5 + 5 = 7 * 5 = 35 tubs of cookie dough.
Simplify the expression.
2/5y−4+7−9/10y =
PLEASE WHOEVER TELLS ME THIS (CORRECT) ANSWER ILL MAKE ANOTHER QUESTION WITH 30 POINTS
Answers
Answer:
6y - 1/2y
Step-by-step explanation:
So...
We need to multiply by 5y/5y to write -4 as a fraction with a common denom.
2/5y - 4 * 5y/5y + 7 - 9/10y
Simplify...
Combine the -4 and 5y/5y
2/5y + -4(5y)/5y + 7 - 9/10y
Combine the numer over the common denom
2 - 4(5y)/5y + 7 - 9/10y
Simplify the numerator by factoring 2 out of then 2 out of -4 * 5y and then 2 out of 2(1) + 2 (-2 * 5y)
2(1) - 4 * 5y/5y + 7 - 9/10y
2(1) + 2(-2 * 5y)/5y + 7 - 9/10y
2(1 - 2 * 5y)/5y + 7 - 9/10y
Now multiply -2 by 5
2(1 - 10y)/5y + 7 - 9/10y
Now we do the same 5y/5y with 7
Combine...
2(1 - 10y)/5y + 7(5y)/5y - 9/10y
Combine more.
2(1 - 10y) + 7(5y)/5y - 9/10y
Now we need to simplify more
Distributive property application
2 * 1 + 2 (-10y) + 7 * 5y/5y - 9/10y
Multiply 2 by 1
2 + 2(-10y) + 7 * 5y/5y - 9/10y
-10 by 2
2 - 20y + 7 * 5y/5y - 9/10y
Then 7 by 5
2 - 20y + 35y/5y - 9/10y
Then -20y by 35y
2 + 15y/5y - 9/10y
Now we have to multiply 2 + 15y/5y by 2/2
2+ 15y/5y * 2/2 - 9/10y
Now we write with a common denom of 10y and multiply with a factor of 1
(2 + 15y) * 2/5y * 2 - 9/10y
Multiply 2 by 5
(2 + 15y) * 2/10y - 9/10y
Combine again
(2 + 15y) * 2 - 9/10y
Simplify again with the distrib property
2 * 2 + 15y * 2 - 9/10y
Multiply 2 by 2
4 + 15y * 2 - 9/10y
Then 2 by 15
4 + 30y - 9/10y
Then subtract 9 from 4
30y - 5/10y
Factor out 5 from 30y - 5...
5(6y) -5/10y
5(6y) - 5/10y
Factor 5 out of -5
5(6y) + 5(-1)/10y
Then 5 out of 5(6y) + 5(-1)
5(6y - 1)/10y
Now we cancel more common factors which is 5 here
6y - 1/2y
Solve sin^2θ−4sinθ−5=0 for 0°≤θ≤360°
Answers
Answer:
[tex]\theta=270^\circ[/tex]
Step-by-step explanation:
Given Equation and Parameters
[tex]sin^2\theta-4sin\theta-5=0,\: 0^\circ\leq\theta\leq 360^\circ[/tex]
Calculation
Let [tex]u=sin\theta[/tex], thus:
[tex]u^2-4u-5=0\\\\(u+1)(u-5)=0\\\\u=-1,\: u=5[/tex]
[tex]sin\theta=-1\\\\\theta=270^\circ[/tex]
[tex]sin\theta=5\\\\\theta=unde fined[/tex]
Conclusion
[tex]\theta=270^\circ[/tex]
4. (1pt each) Solve for the missing angle, x.
Answers
Answer:
a) 112º
b) 62.5º
Step-by-step explanation:
a) x=180–34*2=112º
b) x=(180–55)/2=62.5º
Marcelo has 6 red marbles in his marble collection. The red marbles make up 12% of all the marbles. Please show your work and thank you. I think anytime brainly takes down your question you get extra points. weird
Answers
Answer:
the answer is 50
Step-by-step explanation:
12 6 600 600
--------- * --------- = ------ ------- = 600/12=50
600 x 600 12
Answer:
the answer is 9
Step-by-step explanation:
48+36 written as a product of two factors
Answers
48 + 36 written as a product of two factors gives; 12 × 7
How to rewrite product of numbers?We are given the function;
48 + 36
Let us pick the largest common factor of both numbers which is 12 and so we will factorize to have;
12*4 + 12*3
⇒ 12(4 + 3)
⇒ 12 * 7
Thus, the correct answer is 12 * 7
Read more about Factorization at; https://brainly.com/question/1214333
What value of x is in the solution set of 4x - 12 = 16 + 8x?
-10
-9
-8
ОО
-7
Answers
Step-by-step explanation:
Question: 4x - 12 = 16 +8x
Answer: 4x-8x =16+12
-4x=28
x=-28/4
x=-7
D) -7 is your answer
hope this helps you
have a great day :)
if y=2x^2-5x-3 find the value of y if x= -1
Answers
Answer:
y = 4
Step-by-step explanation:
First we want to raise -1 to the power of 2
y = 2 * 1 - 5 * -1 - 3
Multiply
2 - 5 * -1 - 3
Multiply
y = 2 + 5 - 3
y = 7 - 3
y = 4
HELPPP
Use the information shown on the auger shell. What is the value of x?
Answers
X to 9.9
If x = 0, then
((x ^ 2) ^ 3)/(x ^ 5) * 1000 is equivalent to
1. 1000x
2. 1000+x
3. 1000
4. 0
Answers
Ans: 0. fraction is equal to 0 then 0×1000=0
Apply Cavalieri's principle to determine which statements are correct.
A)
I.B Area = 11.B Area
B)
II.B Area > III.B Area
C)
1. Volume = II. Volume
D)
II. Volume > III. Volume
E)
I.B Volume = II.B Volume = III.B Volume
Answers
Answer:
Step-by-step explanation:
Answer:
A:) I.B area
C:) I. Volume=II.Volume
E:) I.B volume= II.B volume= III.B volume
Step-by-step explanation: i did the usa test prep
A library shelf contains seven books. Three books are math books and four books are science books. In how many ways may the books be arranged on the shelf so that all the math books will be together
Answers
There are 720 different ways to arrange the books.
In how many ways we can order the books?
Here we know that there are a total of 7 books, 3 of math and 4 of sciences.
We know that the 3 math books must be together, so first let's analyze this element.
The number of permutations of these 3 books is 3! = 3*2*1 = 6
Now we have 5 elements, 4 books of science and a "group of math books."
So there are 5 positions in which the group of math books can be, and for the four science books we have 4! = 4*3*2*1 = 24 permutations.
The total number of different combinations is given by the product of the numbers we found above:
combinations = (permutations of math)*(possible positions of math)*(permutations of science).
Combinations = 6*5*24 = 720
If you want to learn more about counting, you can read:
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Question 3 of 44 What is the circumference of a circular swimming pool with a radius of 8 feet? (Round your answer to the nearest tenth.) O A. 25.1 ft O B. 100.5 ft C. 201.1 ft OD D. 50.3 ft SUBMIT
Answers
Answer:
D. 50.3 ft
Step-by-step explanation:
C = 2 x pi x r
C = 2 x 3.14 x 8
C = 50.3 ft
how many is
x + 54 = 987? Pls step by step
Answers
Answer:
X=933
Step-by-step explanation:
987-54=933
Jennifer mixes 600ml of orange juice with 900ml of apple juice to m
ake a fruit drink. Write the ratio of apple juice to orange juice in its simplest form.
Answers
Answer:
2:3
Step-by-step explanation:
So OJ is 600ml and AJ is 900ml
we can divide both by 100 so
600÷100= 6
900÷100= 9
Ratio is now 6:9 but we can simplify it more by 3
so 6÷3=2 and 9÷3=3
So therefor ratio is 2:3
we can divide both by 100 so
600÷100=6
900÷100=9
Ratio is now 6:9 but we can simplify it more by
3
so 6÷3=2 and 9÷3=3
So therefor ratio is 2:3
You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do
you have in each subject?
You have math problems.
You have science problems
22
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Find the quotient 820,00^3
Answers
Answer:
Correct me if I'm wrong......
Help math math math ASAP
Answers
Answer:
B
Step-by-step explanation:
parallel lines have the same gradient,
and for y = 3x-2; m= 3
The answer is B. Hope this helps :)
The Flash runs 100 km in 25 seconds. What is the Flash's velocity
Answers
Answer:
yo moma smell like stank
Step-by-step explanation:take showers
Please help, I am so confused. If anyone understands this please help
Answers
Answer:
12 ft
Step-by-step explanation:
It is sometimes helpful to start from what you are given and see what develops.
Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:
ΔALC is a 30°-60°-90° triangle, so you know its side ratios∠LAB = 30°, so ΔALB is isosceles and AL = LBThe side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.
AL = 2 × (6 ft) = 12 ft
We know that AL = LB, so LB = 12 ft.
circumfrence of a circle r=4 iready
a. 50.24
b. 12.56
c. 200.96
d. 6.28
e. 25.12
Answers
Answer:
E. 25.12
Step-by-step explanation:
C=2πr = 2π(4) = 25.1
Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.
A. 12.2 square units
B. 24.4 square units
C. 6.1 square units
D. 37.0 square units
Answers
Explain uhm well we can subtract both of the points in the graph which is somewhere around 6 for both since it’s a rectangle and multiply to get the area
please help with slope
Answers
Answer:
-2/3
Step-by-step explanation:
down 2, right 3
Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-4+1}{-5+9}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-3}{4}[/tex]