A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system is shown represents this equation. x + y = 24 3x + 5y = 100
Answers
X=10
Y=14
Step-by-step explanation:
Solve simultaneously using substitution method as shown in the image
Related Questions
Half the difference of a number n and 20 is 30. What is the number?
Answers
Answer:
80Step-by-step explanation:
Half the difference of a number n and 20 ⇒ (n - 20)/2... is 30 ⇒ = 30Solve the equation for n:
(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80The number is 80
Answer:
Number is 40
Step-by-step explanation:
Let the number be n
(n - 20)/2 = 30
(n - 20) = 2 × 30
n = (2 × 30) + 20
n = 60 + 20
n = 80
If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
A.
x = 6; m∠XOY = 20°
B.
x = 18; m∠XOY = 6°
C.
x = 20; m∠XOY = 6°
D.
x = 6; m∠XOY = 18°
Answers
Answer:
D.x = 6; m∠XOY = 18°
Step-by-step explanation:
Supplementary angles add to 180 and complementary angles add to 90
∠WOZ + ∠WOX = 180
108 + ∠WOX = 180
∠WOX + ∠XOY = 90
∠WOX + 3x = 90
∠WOX = 90 -3x
Replace WOX in the first equation
108 + ∠WOX = 180
108 + 90 -3x = 180
Combine like terms
198 -3x = 180
Subtract 198 from each side
-3x = 180-198
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
∠XOY = 3x = 3*6 = 18
Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?
Answers
Answer:
1933
there where a total number of 20 hurricanes recorded that year
See photo for question
Answers
Answer:
66 = ∠JKN
Step-by-step explanation:
∠JKM = 99
∠LKM = 66
KN bisects means middle point divides into two equal parts
so first lets find ∠LKN and ∠NKM
66/2 = ∠LKN and ∠NKM each
33 = ∠LKN
33 = ∠NKM
so if we add ∠JKL + ∠LKN + ∠NKM = 99
∠JKL + ∠LKN + ∠NKM = 99
∠JKL + 33 + 33 = 99
∠JKL + 66 = 99
∠JKL = 99-66
∠JKL = 33
now to find ∠JKN we must add
∠JKL + ∠LKN = ∠JKN
33 + 33 = ∠JKN
66 = ∠JKN
Hey, I need help with solving this inequality. It is for Introductory Algebra (0308) TSI Review. I need to pass the TSI which is 20 to 45 questions long and I have failed it in the past a total of four times, please help me to understand this: -4<4-2x<6
Thanks So Much!
Answers
This one is a little tricky, but easy once you split it into a couple of parts!
So you have your whole inequality:
-4<4-2x<6
Let’s break it into two parts right down the middle. This just makes it way easier to solve! Start with -4<4-2x
Now, solve for “x” in that simple inequality. Remember that the inequality acts just like an equal sign, except for when you divide or multiply by a negative number! Then you have to flip it around.
-4<4-2x
Subtract 4 from each side
-8<-2x
Now, divide by -2 on both sides to get x by itself. Remember you are dividing by a negative in this case, so you have to flip the inequality around once you finish!
4>x
You can rewrite that as x<4 (it means the same thing :)
Now, let’s do the other half of this inequality. We’re doing the same thing, just the other side!
4-2x<6
Solve for x! Subtract 4 from each side
-2x<2
Get x by itself by dividing by -2 on both sides. Remember to flip the inequality since it’s negative!
X>-1
Ok! You’ve solved both parts of this, now it’s time to piece it all together.
You know x is less than 4 based on the first step, but greater than negative one based on the second step! Therefore, you write:
-1
I hope this makes sense! If you have any questions, please let me know!
Which of the following describes a linear function?
A. 3(x + 2y) - 4 = x + 5y
B. ax2 + bx + c = 0
c. (a + b)?
D. A = ?
Answers
Answer:
A
Step-by-step explanation:
Linear equation involves two variables with the power of 1. B is quadratic equation
C and D are not even equations
Max spent $53 and now has no money left .He had $ before his purchase
Answers
Answer:
$53
Step-by-step explanation:
If he spent $53 and has nothing left then that's all he must've have had right? If he had more then he would have money leftover after his purchase.
Best of Luck!
yooo cuhh's is the square root of 64 a rational or irrational . ( and is it natural or a real number
Answers
Answer:
Step-by-step explanation:
It's an integer (which includes the minus number).
It can be a natural number (if the value of an expression comes to +/- 8 and for some reason - 8 is not permitted because it's a length)
It is for certain a real number.
Evaluate the expression
2(x – 3) + 3y
When x = 5 and y = 3.
Mark the correct answer Please.
A. 13
B. 15
C. 16
D. 25
Answers
Answer:
13
Step-by-step explanation:
2(x – 3) + 3y
Let x = 5 and y =3
2(5 – 3) + 3*3
Parentheses first
2(2) +3*3
Multiply4 + 9
Add
13
Answer:
[tex]2(x - 3) + 3y \\ x = 5 \\ y = 3 \\ then \: 2(5 - 3) + 3 \times 3 \\ = 2 \times 2 + 9 \\ = 4 + 9 \\ = 13 \\ thank \: you[/tex]
Can someone solve/walk me through this problem please?
-6x+5y=34
-6x-10y=4
Answers
Answer: x = -4
y = 2
Step-by-step explanation:
From equation I
-6x + 5y = 34
-6x = 34-5y
-(-6x) = -(34-5y)
or, 6x = 5y-34
or, x = 5y-34/6
so
substituting the value in equation II
-6x-10y = 4
or, -6{(5y-34)/6} - 10y = 4
or, -(5y-34)-10y = 4
or, -5y + 34-10y = 4
or, -15y = -30
or, y = -30/(-15)
so, y = 30/15
so, y = 2
now
x = (5y-34)/6
= (5*2-34)/6
= (10-34)/6
= -24/6
= -4
Answer:
x=-4, y=2
Step-by-step explanation:
-6x-10y=4
-6x=4+10y
(4+10y)+5y=34
15y=30
y=2
-6x-10(2)=4
-6x=24
x=-4
f(x) = [tex]2^{x}[/tex] - 2 and g is a horizontally scaled function of f. The functions are graphed where f is solid and g is dashed. What is the equation of g?
A. g(x) = [tex]2^{3x}[/tex] - 2
B. g(x) = [tex]2^{\frac{1}{3}x }[/tex] - 2
C. g(x) = [tex]2^{2x} - 2[/tex]
D. g(x) = [tex]2^{\frac{1}{2}x} - 2[/tex]
Answers
Answer: D) g(x)= 2^1/2x -2
Step-by-step explanation:
Kenya plans to make a down payment plus monthly payments in order to buy a
motorcycle. At one dealer she would pay $2,250 down and $200 each month. At
another dealer, she would pay $2,850 down and $175 each month. After how
many months would the total amount paid be the same for both dealers? What
would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.
Answers
Answer:
Step-by-step explanation:
2500+150x=3000+125x
150x-125x=3000-2500
25x=500
x=500/25
x=20 mo
----------------
2500+150*20=3000+125*20
5500=5500 total paid after twenty months
Hope this is helpful
Which expression is equivalent to 6 (3.6 + 4)?
Answers
Answer:
45.6
Step-by-step explanation:
6(3.6 + 4)
6 (7.6)
= 45.6
PLEASE HELP I WILL MARK BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!
6. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 20 inches Which of the following could be the length
of side AC?
A. 6 inches
B. 34 inches
C. 18 inches
D 37 inches
Answers
Answer:
C
Step-by-step explanation:
In this situation the two lowest sides, 12 and 18, add to higher than the longest side. This is the only answer that does so.
Find the line segment
Answers
Answer:
[tex]l \: is \: mid \: point \: here \: so \\ 9x - 16 = 7x + 10 \\ x \: terms \: togather \\ 9x - 7x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ option \: (3) \\ thank \: you[/tex]
PLEASE HELP :( WORTH 20 PIONTS I WILL MARK BRAINLIEST please answer honestly :)
here is the table of values for y = f(x)
x -2 , -1 , 0, 1, 2 , 3, 4 , 5, 6
f(x) 5, 6, 7, 8, 9, 10, 11, 12, 13
mark the statements that are true
A. f (-1) =6
B. f (5) = - 2
C. The domain for (x) is the set (-2, -1, 0, 1 , 2, 3, 4, 5, 6
D. the range for f(x) is all real numbers
Answers
Answer:
A and C
Step-by-step explanation:
A
From the table the value of f(x) when x = - 1 is 6
Thus f(- 1) = 6 ← is true
B
From the table the value of f(x) when x = 5 is 12
Thus f(5) = - 2 ← is false
C
The domain is the values of x from the table ( the input values )
domain is { - 2, - 1, 0, 1, 2, 3, 4, 5, 6 } ← is true
D
The range is the values of f(x) from the table ( the output values
range is { 5, 6, 7, 8, 9, 10, 11, 12, 13 }
The range for f(x) is all real values ← is false
0
Is (1, 10) a solution to this system of inequalities?
y > X + 9
y > 10
Answers
Explanation:
I think the x value is 1
But however I don’t think the solution is (1, 10) because the y value is bigger than as can be seen in one of the equation that is written y > 10 so y can be 11, 12, 13,.....
Answer:
No
Step-by-step explanation:
If (1, 10) is a solution to the system then it must satisfy both inequalities.
Using x = 1 and y = 10 , then
10 > 1 + 9 , that is
10 > 10 ← False
and
10 > 10 ← False
Neither of the inequalities are satisfied by (1, 10)
Thus it is not a solution
Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)
Answers
Answer: 9
Step-by-step explanation:
Plot the points
Find the distance of each side
add the three numbers
9
Answer:
5. 27
6. 43
7. 47
Step-by-step explanation:
calculate the surface area of a cylinder with diameter 26,5 and height 63,7
Answers
Answer:
A≈1633.63
Step-by-step explanation:
d Diameter 26
h heigth 7
A=2πd
2h+2π(d
2)2=2·π·26
2·7+2·π·(26
2)2≈1633.62818
Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have
Answers
Answer:
Step-by-step explanation:
Answer:
#4Let M is the midpoint of DE.
Since D is at 8 and DE = 5.
DM = ME = 5/2 = 2.5
Point M is at:
8 + 2.5 = 10.5 if E is to the right of D8 - 2.5 = 5.5 if E is to the left of D#5Given
XY = 7, YZ = 2x - 1, XZ = 30Since XZ = XY + YZ, set up an equation and solve for x:
7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6The distance from your house to friend's is LN.
We have:
M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2Set up an equation, solve for x:
3x = 2x + 23x - 2x = 2x = 2Find the distance LM:
LM = 3*2 = 6Find the distance LN:
LN = 2*LM = 2*6 = 12what are the answers?
Answers
Answer:
that picture ant even clear
Step-by-step explanation:
cos a/4= -1/4
cos a= ??
Answers
Answer:
cos a / 4 = -1/4
--->cos a =- 1
(PLEASE HELP ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER)PLEASE EXPLAIN AS WELL
Answers
Answer:
MONEY ON MONDAY=36.
MONEY ON TUESDAY =36+20=56
MONEY ON WEDNESDAY =56-19=37
MONEY LEFT ON THURSDAY=37
please help me i need help
Answers
330
Round it to 300 because it is under 350 Which means you do not round up
pat has no more then 20 sweets. she counts her sweets by twos she has one sweet left. then she counts by five. she has 2 left over. how many sweets could she have
Answers
Answer:
She can either have 7 sweets or 17 sweets.
Step-by-step explanation:
Variable x = number of sweets Pat has
x < 20
Counting by 5's (5, 10, 15) that will result in 2 left over (5 + 2, 10 + 2, and 15 + 2). This leaves 3 possible options as to how many sweets Pat has: 7, 12, and 17.
Counting by 2's (2, 4, 6 . . . 18) that will result in 1 left over (6 + 1, 10 + 1, 16 + 1) This leaves 2 possible options, given the other numbers from counting by 5's were eliminated.: 7 and 17.
An alloy that is 30% silver is mixed with 200 g of a
10% silver alloy. How much of the 30% alloy must
be used to obtain an alloy that is 24% silver?
show work plz
Answers
Answer:
The answer is [tex]466\frac{2}{3}\,g[/tex]
Step-by-step explanation:
Let,
Amount of alloy with 30% silver = x g
Given,
Amount of alloy with 10% silver = 200 g
So, Total Amount of alloy with 24% silver = (x+200) g
Now,
[tex]x*0.30+200*0.10=(x+200)*0.24\\=>0.30x+20=0.24x+48\\=>0.06x=28\\x=466\frac{2}{3}\,g=466.67\,g[/tex]
Hope you have understood this....
pls mark my answer as the brainliest
Divide. Write your answer as a decimal.
−3.45÷(−15)=
Answers
The total number of hours worked during d days for persons working seven hours each day. as a expression
Answers
Answer: 7d
Step-by-step explanation:
-a - 2b + 3c for a = 24, b= 7, and c=5
Answers
Answer:
-23
Step-by-step explanation:
Plug in each value for its respective variable.
-(24) - 2(7) + 3(5)
-24 - 14 + 15
= -23
Answer:
-23
Step-by-step explanation:
Plug in each value for its respective variable.
-(24) - 2(7) + 3(5)
please I can't understand this question ⁉️
please help
Answers
Explanation:
A, C and F are function
B is not a function because one of the domain which is 2 has two range mapped.
As for D and E I’m not entirely sure about that.
If an arrow diagram represented a function, every value in the input would go to its own unique output. In other words, one number on the left side can only go to one certain number on the right side. Now that we know this, let’s answer the questions. I will answer yes if it is a function and no if it isn’t, as well as the explanation.
a) Yes
b) No. 2 goes to both a and b.
c) Yes
d) Yes
e) Yes
f) Yes