Answer:
There are 14 5-point questions and 10 3-point questions.
Step-by-step explanation:
Form 2 equations:
Let x= 5-point questions
Let y= 3-point questions
1.) x+y=24
2.) 5x+3y=100
Use substitution by reforming equation 1 in terms of x or y (I used y)
1.) y=24-x
Sooo, substitute this into the y in the 2nd equation:
5x+3(24-x)=100
5x+72-3x=100
2x=100-72
2x=28
x=14
Now that we have x, substitute this into the 1st equation to get y:
1.) y=24-x
y=24-14
y=10
In conclusion, there are 14 5-point questions and 10 3-point questions.
Answer:
There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.
Step-by-step explanation:
14 x 5 = 70
10 x 3 = 30
70 + 30 = 100
14 + 10 = 24 questions total
show how to rewrite 1/5 with the denominator 10.
Answer:
first blank: 2
second blank: 2
what is the answer to (a+3)(b+5)
Answer:
ab+5a+3b+15
Step-by-step explanation:
(a+3)(b+5)
a(b+5)+3(b+5)
ab+5a+3b+15
ratio of girls to boys is 2:3 how many boys if there are 56 girls
Answer:
78 boys
Step-by-step explanation:
If the raio is 2:3 that means there are 5 equal parts
56/2 28
3 x 28 = 78
Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte. She wants to keep her bill at $75.10 per month. Write and solve an equation which can be used to determine x, the number of gigabytes of data Aubrey can use while staying within her budget
Answer:
To stay within budget, she must use 4.4 gigabytes.
Step-by-step explanation:
Giving the following information:
Fixed cost= $57.50 per month
Variable cost= $4 per gigabyte.
She wants to keep her bill at $75.10 per month.
First, we need to establish the total cost formula:
Total cost= 57.5 + 4*x
x= number of gigabytes
Now, we isolate x:
75.1= 57.5 + 4x
17.6/4= x
4.4= x
To stay within budget, she must use 4.4 gigabytes.
Answer:
she has to use 4.4 gigabytes
Step-by-step explanation:
Eli is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Eli reserved twice as many large rooms as small rooms, which altogether can accommodate 65 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
Answer:
Step-by-step explanation:
Answer:
5 small rooms and 10 large rooms
Step-by-step explanation:
EZ POG
Pls, HELP ASAP! 10 POINTS!
1,3,1,2
Step-by-step explanation:
don't know if I'm working correctly
Answer:
4th option
Step-by-step explanation:
The first step for the first two choices are incorrect, the first one is supposed to be same side exterior angles, the second, same side exterior as well. For the third, the third step is not alternate interior angles.
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Answer:
number 3
Step-by-step explanation:
Answer:
M = 2 b= 10
Step-by-step explanation:
Turn it to mx + b form
By +2x to both sides
Y = 2x + 10
write two numbers that multiply to the value on top and add to the value on bottom. its for a test
Answer:
-6 and -3
Step-by-step explanation:
PLEASE I WLL GIVE BRAINLIEST JUST HELPS MEEEEE OMG IM ON MY SECOND ATTEMPT PLS PLS PLS HELP
Answer:
[tex] \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}[/tex]
Step-by-step explanation:
[tex] \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ [/tex]
solve this
|2x-7|=1
I need help
unfortunetly my answer was wrong so i edited it........
Answer:
x = 3, x = 4
Step-by-step explanation:
The absolute value function always gives a positive result.
However the expression inside can be positive or negative, that is
2x - 7 = 1 or - (2x - 7) = 1
solving both
2x - 7 = 1 ( add 7 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
or
- (2x - 7) = 1 ← distribute left side
- 2x + 7 = 1 ( subtract 7 from both sides )
- 2x = - 6 ( divide both sides by - 2 )
x = 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 4 : | 8 - 7 | = | 1 | = 1 = right side
x = 3 : | 6 - 7 | = | - 1 | = 1 = right side
Then x = 3, x = 4 are the solutions
find the degree of the monomial -3q^4rs^6
Answer:
11
Step-by-step explanation:
q^4=4
r=1
s^6=6
4+1+6=11
find 24+3-(2×8)÷3
a. Zero
b. 1.37
c. 13.7
d. 1
A baggage check service charges $4 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of this step function?
A. (6.9, 10)
B. (6.1, 10)
C. (6.0, 10)
D. (5.9, 9)
Answer:
a
Step-by-step explanation:
Answer:
I think it's
Step-by-step explanation:
It might be a because (6.9, 10) is not a graph included.
Please help me solve this problem.
PLEASE PLEASE PLEASE ANSWER> I NEED HELP IN LIKE THE NEXT 10 MINUTES
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
An integer is chosen random between 1 to 100. find the probability that it is divisible by 8
Answer: 0.12
x is the number which is chosen
The number of ways to choose x from 1 to 100 is 100 (ways)
because x is divisible by 8 => x ∈ {8; 16;...; 96}
=> the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12
the number of ways to choose x which is divisible by 8 is 12 (ways)
=> the probability that x is divisible by 8 is 12/100 = 0.12
Step-by-step explanation:
pls help me with this equation!!!!!!!!!!!!!
Answer:
The missing angle is 65°
Step-by-step explanation:
For context, all triangles' angles will always add up to 180°. The outside angle of S is supplementary to the inside angle, so in order to find S:
180 - 153 = 27°
<TSU = 27°
S = 27°
U = 88°
As mentioned before, angles of triangles will add up to 180. In order to find the missing angle (?) we will add the other two sides and subtract them from 180.
27 + 88 = 115
180 - 115 = 65°
Which of the following statements are true?
Please help..
Answer:
The answer is C
Joe ordered some books online and spent a total of $75 . Each book cost $6 and he paid a total of $3 for shipping . How many books did he buy ?
Two students are using estimation to determine reasonable solutions to the expression 89.1 times 9.3. Katie uses the expression 90 times 10. Amaya uses the expression 89 times 9. Which is the best comparison of the estimates and the actual product?
pls pls help with this. extra points. why would i use factoring to solve this quadratic equation?
Answer: x =
-1/6 -2
explanation:
I looked it up on Math
way
Answer: x=-2 x=-1/6
Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.
(6x+1)(x+2)=0
set them both equal to zero and solve, foil your answer
Can someone help me solve this really quick please?
Answer:
C- 4f less than or equal to 36
Step-by-step explanation:
The fish are 4 dollars each so how many fish you buy, you will multiply 4. Example- I will buy 5 fish so 5×4=20.
You can only spend less than 36 or you can spend exactly 36 dollars.
In my example I spent less than 36 dollars. I don't know if you understand but tell me if you need help.
Pleaseee helppp answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Please, I need your help! Can someone answer this immediately!
Answer:
true false false true
Step-by-step explanation:
what is 4/12 + 1/12 + 3/12
Answer:
8/12
Step-by-step explanation:
Select all please!:)
Answer:
d
Step-by-step explanation:
Answer:
the second one and the last one
Step-by-step explanation:
What is the slope of the following line? I need help asap
Answer:
-4/3
Step-by-step explanation:
it says to find the slope you do y2 - y1 / x2 - x1.
From the points, you have x1 = -3, x2 = 0, y1 = 3, y2 = -1.
Plug those in:
-1 - 3 / 0 - (-3) = -4 / 3 = -4/3
Answer:
-1-3/0-(-3)= -4/3
Step-by-step explanation:
since m=y2-y1/x2-x1 the equation would be -1-3/0-(-3) which equals to -4/0+3 which equals -4/3. since it's slope you do not simplify.
20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00
What is the average price of an item sold considering quantity? 12 notepads at $4.20 25 folders at $0.80 3 calculators at $19.00
Answer:
Average price = $3.185
Step-by-step explanation:
Given:
12 notepads = $4.20 each
25 folders = $0.80 each
3 calculators = $19.00 each
Find:
Average price
Computation:
Average price = Total cost / Total number of item
Average price = [(12)(4.20) + (25)(0.80) + (3)(19)] / [12 + 25 + 3]
Average price = [(50.4) + (20) + (57)] / [40]
Average price = [127.4] / [40]
Average price = $3.185
5. Which of the following systems of linear inequalities is represented on the graph
below?