Answer:
x = 1,213
y = 1,314
z = 714
Step-by-step explanation:
$10 = x
$20 = y
$30 = z
10x + 20y + 30z = 59,830
____________
Solving for x:
Since there 101 more $20 tickets than $10 tickets we are making the equation of:
y = x + 101
First equation (substitute the equation above for y)
x + (x+ 101) + z = 3,241
Subtract 101 from 3,241
2x + z = 3,140
Second equation (substitute y with 'x + 101 ')
10x + 20(x + 101) + 30z = 59,830
10x + 20x + 2,020 + 30z = 59,830
Subtract 2,020 from 59,830
10x + 20x + 30z = 57,810
Add 10x and 20x
30x + 30z = 57,810
Cancel out the 30's and divide 57,810 by 30
x + z = 1,927
Now solve using the first 2 equations
2x - z =3,140 = x + z = 1,927
Subtract z
2x = 3,140 = x + 1,927
Divide x
x = 3,140 = 1,927
Subtract 1,927 from 3,140
x = 1,213
____________________
Solving for y:
y = x + 101
y + 1,213 + 101
y = 1,314
____________________
Solving for z:
1,213 + 1,314 + z = 3,241 (Overall tickets sold)
2,527 + z = 3,241
Subtract 2,527 from 3,241
z = 714
____________________
Check math:
10x + 20y + 30z = 59,830
10(1,213) + 20(1,314) + 30(714) = 59,830
The average number of points a basketball team scored for three games was 63 points. In the first two games they scored the same number of points which was 6 points more than they scored in the third game. Write and solve an equation to find the number of points the team scored in each game.
Answer:
First Game: 65 points
Second Game : 65 points
Third Game : 59 points
Step-by-step explanation:
Average = sum of values/number of values
The number of values = 3, an d average = 63
63 = x/3
63 * 3 = x
189 = x
Now 189 is the sum of points over two games.
Their first two games are worth the same, so lets call that s +s = 2s
Their 3rd game is worth 6 less points than s, so s-6
let's add up all the terms:
2s + (s - 6) = 3s - 6
Solve:
3s - 6 = 189
3s = 195
s = 65
The first two games are worth 65, and the third game is worth 65 - 6 = 59.
-Chetan K
Answer:65, 65 and 59
Step-by-step explanation:
If represented by x and y, (2x+y)/3=63
So 2x+y=189
So if x=y+6
Put the value of x into the equation
2x + y = 189
2(y + 6) + y = 189
2y + 12 + y = 189
3y = 189 - 12
3y = 177
y = 177/3
y = 59
Therefore, x = y + 6 = 59 + 6 = 65
Which inequality symbol would you use to represent the following words or phrases? Can you come up
with more examples?
b. farther than
C. younger than
d. up to
a. at most
Answer:
C
Step-by-step explanation:
sana maka tulong
i purple u
(+41)x(+16)
pleasderr
Answer:
[tex]656[/tex]
Another problem I need help with!
Answer:
or
Step-by-step explanation:
My teacher is teaching us how to put points into y - y1 = m ( x - x1) and she give us a set of points and a slope. But i don't know how to plot this one question in. The slope is unidentified and the set of points are (2,5). Ty!!
Answer:
Step-by-step explanation:
The point will be 2 on the x-axis and 5 on the y axis.
Answer:
I feel the question is incomplete but there's another formula (which we can only use if the points are the intercepts on the x and y axis)
x/a + y/b = 1( a= intercept on x axis ; b = intercept on y axis )
x/2 + y /5 = 1
multipy both sides by 10
5x + 2y = 10
2y = 10- 5x
divide both sides by 2
y = 5 - 5/2x
y = -5/2 + 5(the equation of the line if the two points are the intercepts on the both axis
how much will I pay for 4m of cloth if 1 m cost $17.25?
Answer:
you will pay $69 for 4m of cloth if 1m costs $17.25
Step-by-step explanation:
17.25 x 4 = 69
Mahni plans to spend the next 12 weeks saving some of her income. She will save $x a week for the first 6 weeks and then $(2x − 30) a week for the following 6 weeks. If she managed to save $213 in the first six weeks, how much did she save in total over 12 weeks? Explain correctly how to do this to get Brainliest ANSWER
$x=213$
For first six weeks she saved 213$
Now
For next 6weeks
[tex]\\ \sf\longmapsto 2x-30=2(213)-30=426-30=396\$[/tex]
Total savings:-
.[tex]\\ \sf\longmapsto 396+213=609\$[/tex]
Total savings in first 6 weeks :
[tex]6x[/tex]Totally savings in second 6 weeks :
[tex]6(2x - 30)[/tex]If she saved $ 213 in first 6 weeks, then
[tex]6x = 213[/tex][tex]x = \dfrac{213}{6} [/tex][tex]x = 35.5[/tex]now, money saved in second week :
[tex]6(2x - 30)[/tex][tex]6((2 \times 35.5) - 30)[/tex][tex]6(71 - 30)[/tex][tex]6 \times 41[/tex][tex]244[/tex]The money saved in total 12 weeks :
[tex]213 + 244[/tex][tex] \$457[/tex]A rational algebraic equation is also known as______
A.fractional equation
B.linear equation
C.quadratic equation
D.radical equation
Can you determine each point-slope equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
PLEASE HELP NOW!!!
Answer:
Step-by-step explanation:
3+5n=5(n+2)-7 how many solutions
Jerry's mother is 33 years old and she is eleven less than four times Jerry's age. How old is Jerry?
Answer:
11 years old
Step-by-step explanation:
33+11=44 (four times of Jerry's age)
44÷4=11 (Jerry's age)
Hope this helps! Thanks.
How many groups of 12 pound are in 234 pounds?
Answer:
19.5
Step-by-step explanation:
1.) Yvonne purchased $46 worth of items for a theme party. A small bag of party hats cost $2.75, a pack of napkins cost $3.50, and a set of cups and plates cost $2.00. If Yvonne bought 4 bags of hats, and 2 packs of napkins, how many cup and plate sets did she buy?
Answer:
14
Step-by-step explanation:
$46 in total
Hats: $2.75 * 4 bags = $11
Napkins: $3.50 * 2 packs = $7
11 + 7 = 18
$46 - $18 = $28
$2.00 / 28 = 14
If cups and plates were $2.00, that means it would take 14 sets to fill the remaining $28.
If 4x - 9 = 35,
find the value of 6x + 4
Step-by-step explanation:
4x=44
x=11
6x+4= 6*11+4= 70
Answer:
6x+4=70
Step-by-step explanation:
To solve this, first, we need to know what x is. To do this, we need to solve the equation:
4x-9=35
The first step to solving this is to add nine to both sides, since we need to do the inverse of subtraction to get our answer.
4x-9+9=35+9
4x=44
Now, do the inverse of multiplying by four, which is dividing by four, to both sides.
4/4x=44/4
x=11
Now that we know what x is, we can find the value of 6x+4. Simply plug in 11 for x.
6(11)+4
66+4
70
Our answer is 70.
Write a equation given the point and slope or two points
17.) (-5,-11) and (-2,1)
18.) (-6,8) and (3,-7)
Please
Someone pls help me I will make you brain
It cannot be compared, so answer 3 :)
An item costs 340 before tax, and the sales tax is 20.40.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Step-by-step explanation:
To find out the sales tax rate, we divide the sales tax by the cost of the item. This will give us what percent of the cost of the item the sales tax is equal to.
So, 20.4 divided by 340 = 0.06
To convert to percent, we multiply 0.06 by 100=6. Therefore, the sales tax rate is 6%.
Check:
340 times 0.06 (the sales tax rate) is 20.4 (the sales tax).
The solution of equation 3n - 7 = 3 - 2n is????? I need this ans fast plsss
Answer:
n=2
Step-by-step explanation:
3n-7=3-2n
5n=10 (add 2n on both sides and also add 7 on both sides of the equal sign)
n=2
DUBS
Answer:
[tex]n=2[/tex]
Step-by-step explanation:
[tex]3n-7=3-2n[/tex]
[tex]3n-7+7=3-2n+7[/tex]
[tex]3n=-2n+10[/tex]
[tex]3n+2n=-2n+10+2n[/tex]
[tex]5n=10[/tex]
[tex]\cfrac{5n}{5}=\cfrac{10}{5}[/tex]
[tex]n=2[/tex]
PLEASE PLEASE HELP WILL MARK BRAINIEST PLEASEEEE
the measure of angle a is -2x+35 degrees. the measure of angle b is quadruple angle a. write an expression for their sum.
Answer:
= -10x + 175
Step-by-step explanation:
(4(-2x+35)) + (-2x+35)
= -8x+140 - 2x + 35
= -10x + 175
Wen says the function is continuous, because the number of people is unlimited. Is Wen right or wrong?
Answer Wen is incorrect. The reason being is that the function does not continue in both directions from the origin. Since we cannot have a negative value of people, we cannot use all values of x as inputs in the equation. Therefore, it is not continuous.
okay so I think it's 30 pages and her mom isn't correct, but I've done this assessment multiple times and I don't wanna take it again after this, so please tell me if my answer is correct or not because I really wanna make sure
Answer: 30
Step-by-step explanation: You should be correct because 1.5*20=30
Maggie spent $4.05 dollars on cheese and fruit at the farmer's market. She bought 1/8 pound of apples,1/4 pounds of pears,and 1.25 pounds of bananas. If fruit cost $0.80 per pound ,how much did Maggie spend on cheese?
Total weight of fruit: 1/8 + 1/4 + 1.25 = 1.625 pounds
Cost of fruit: 1.625 x 0.80 = $1.30
Cost of cheese = total spent - cost of fruit:
Cost of cheese = 4.05 - 1.30 = $2.75
Answer: $2.75
Answer:
1+2=3
3×0.8=2.4
4.05-2.4=1.65
Step-by-step explanation:
Classify each number below as a rational number or an irrational number.
-15 π . . . . . irrational
-√3 . . . . . irrational
-√4 = -2 . . . . . rational
-1/11 . . . . . rational
-27.92 (line over the 92) = -27+92/99 . . . . . rational
PLS HELP
The graphs below shows some properties of regular polygons.
When compared with the independent variable, how many of the graphs represent a linear relationship?
0
1
2
3
Answer:
2
Step-by-step explanation:
I believe it is 2 sorry if you get it wrong.
Answer:
2 are linear
Step-by-step explanation:
They create a straight line when a line is drawn through the points
Find the equation of the line with slope = -8 and passing through (9,-73). Write your equation in the form
y
=
m
x
+
b
y
=
m
x
+
b
.
Answer:
y = - 8x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 8 , then
y = - 8x + c ← is the partial equation
To find c substitute (9, - 73 ) into the partial equation
- 73 = - 72 + c ⇒ c = - 73 + 72 = - 1
y = - 8x - 1 ← equation of line
9. A tailor has 23 metres of cloth. She wants to make 7 baju kurung of the same size. She then has 2 metres of cloth left. How many metres of cloth did she use to make each baju kurung?
Answer:
The tailor used 3m per baju kurung.
Step-by-step explanation:
The tailor began with 23m of cloth and at the end had 2m of cloth left. You calculate how many meters of cloth she used all together by subtracting 2 from 23:
23m - 2m = 21m
Then you find out how many meters she used per baju kurung by dividing 21 by 7:
21m / 7m = 3m
What is 0.000000037 written in scientific notation?
Answer: 3.7 x 10⁻⁸
Step-by-step explanation: None
An equilateral triangle with side length 2.5 is dilated with a scale factor of 6. What is the length of one side of the new figure?
2.5
2.5
6
6
7.5
7.5
15
Answer: 15
Step-by-step explanation:
Side length =2.5
length new side = 6x6.5=
15
given two numbers, write narrative algorithms explaining how you would use them to carry out subtraction, multiplication and division operations.
Step-by-step explanation:
0 and 1. is better according to me
Which pair of angles are congruent?
A. 4 and 5
B. 1 and 7
C. 2 and 5
D. 6 and 8
Answer:
B: 4 and 5
Step-by-step explanation:
I'm not 100% sure but all of the other angles don't look congruent