Answer:
257
Step-by-step explanation:
Let the number of Adults = x
Number of senior citizens = y
Number of children = z
x + y + z = 670 tickets
The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.
$22 × x + $13 × y + $5 × z = $8526
22x + 13y + 5z = 8526
There were 49 more children than adults.
z = x + 49
x + y + z = 670 tickets
x + y + x + 49 = 670
2x + 49 + y = 670
y = 670 - 2x - 49
We substitute
22x + 13y + 5z = 8526
22x + 13(670 - 2x - 49) + 5(x + 49) = 8526
22x + 8710 - 26x - 637 + 5x +245 = 8526
22x + 5x - 26x + 8710 - 637 + 245 = 8526
x + 8318 = 8526
x = 8526 - 8318
x = 208
The number of Adults = 208
The number rod children is calculated as:
z = x + 49
z = 208 + 49
z = 257
The number of children = 257
On a friend road trip, the driver travels 150 miles in 3 hours. At this rate, how
many miles will the driver travel in 30 minutes?
5555555555555555555555555555555
30% of 370 is equal to what number?
Answer:
Step-by-step explanation:
Percentage of 30% of 370 = ?
30% of 370 is equivalent to multiplying them: 30% × 370.
= 30/100 x 370
= 111
Marcus collect donations and says care packages to troops overseas he has 36 bars of soap and 24 toothbrushes arrange the items so the packages are identical what is the greatest number of packages that Marcus can make using all the soap and toothbrushes?
Answer: I am sure is 12 package
What are the coordinate of the vertices of A’B’C after each movement
First to answer correctly gets brainliest! (Asap please)
Answer:
Maybe 6000ft but im not completely positive
Step-by-step explanation:
12=6-90
asap please xoxo!!!!!!
answer:
72
step-by-step explanation:
your question doesn't make mathematical sense how can 12 = 6 then subract 90?
maybe you meant 12 + 6 - 90
if so
the answer is
72
(my work)
12 + 6 = 18
18 - 90 = 72
hope this helped <3
2 1/2 =1 2/3 ÷y
please help.... it would mean alot & its worth 100 points!
Answer:
y= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
change them to improper fractions
2 1/2= 5/2 1 2/3=5/3
divide y from 5/3:
[tex]\frac{5}{2} y=\frac{5}{3}[/tex]
mutiply each side by 2/5
y=10/15=2/3
here is your answer. change them to improper fractions
2 1/2= 5/2 1 2/3=5/3
divide y from 5/3:
mutiply each side by 2/5
y=10/15=2/3
Factor and solve each quadratic equation.
Show your work
x2 + 5x + 6 = 0
Answer:
x = -3, x = -2
Step-by-step explanation:
x² + 5x + 6 = 0
(x + 3)(x + 2) = 0
x + 3 = 0 x + 2 = 0
x = -3 x = -2
If OQ and RT are parallel lines and
M
Answer:
Late but its 115
Determine the domain and range of the given function.
The domain is
The range is
Rachel created 215 pairs of earrings. Material for the earrings were $0.25 a pair. At a craft fair rachel sells all 215 pairs of earrings and ends up with $3272.30. After factoring out the cost of materials how much money did rachel make on 1 pair of earrings.
Answer: 14.97 per pair of earrings
Step-by-step explanation:
Which of these points has the lowest absolute value?
A
-25
B
-13
c.
6
D
19
Answer:
A: -25
Step-by-step explanation:
negatives are below zero. And since 25 is above 13... -25 is below -13
Donna receives a $100 gift card to MovieStop. Her Blu-ray player is able to play both Blu-rays and DVDS, so she would like to get a combination of both. Each Blu-ray cost $25.99 and DVDs cost $15.99 each. Write an equation modeling the number of Blu-rays, b, and DVDs, d, that Donna can purchase with her gift card.
Answer:
100=25.99b+15.99dStep-by-step explanation:
step one:
let the number of Blu-rays be b and
DVDS be d,
step two:
given that Blu-rays cost $25.99each and
DVDS cost $15.99 each,
we can model the cost of the Blu-rays and DVDS, as
100=25.99b+15.99d
hence the expression for the number of Blu-rays and DVDS, is given as
100=25.99b+15.99d
If a2> 20, then which of the following could be a value of a?
6 b. 3 c. (-8) d. 2
I'll give brainliest
Answer:
Step-by-step explanation:
a
The square root of 20 = 4.47 so a for sure.
But the root of 20 is also -4.48 so that means that 2 and 3 are added to the list
Now what to do about - 8
(- 8)^2 = 64
The square root of 64 = +/- 8
It's kind of slippery but it depends on how you see the problem. It is a bit ambiguous.
I would eliminate - 8 but your instructor may not. Argue that it should not be included, but don't take the argument on forever. Let it go.
a for sure.
b and c I think so.
-8 is iffy.
Answer a
Answer:
a.6
Step-by-step explanation:
clarify each function as a linear function, a linear absolute value function, a quadratic function, or an exponential function
Answer:
number 2 is linear number 4 is quadratic number 5 is constant
Determine if the two fraction are equivalent, 65/4, 13/2
Answer:
The fractions are not equivalent. If you cross multiply 65 x 2 = 130 and 4 x 13 = 52. 130 > 52. Set them as a proportion. [tex]\frac{65}{4} = \frac{13}{2}[/tex]
They are not equal.
For 65/4 you cannot divide it by 2 and then get 13/2. You would get 32.5/2.
32.5/2 is not equal to 13/2
hope this helps :)
What are the coordinates on the coordinate plane?
Answer:
0.9 1.8 2.9
Step-by-step explanation:
Answer:
P is (2,1) M is (6,2) G is (5,5) L is (1,3) i think this is right anyway
Step-by-step explanation:
hope it helped!
p.s it would be cool it you would give me brainliest
I really need help please
Answer:
[tex]-5*2[/tex] is larger.
Step-by-step explanation:
[tex]-5*2=-10[/tex]
[tex]-14+1=-13[/tex]
[tex]-10>-13[/tex]
-10 is greater because both numbers are negative, so -10 is the higher number.
Answer:
5 x 2 is the larger than -14 + 1.
Step-by-step explanation: -5 x 2 = -10, and -14 + 1 = -13. Plz tell me if you got it right.
Use the problem 34.65 ÷ 10³
What is the remainder in the synthetic division problem below? 14 6 - 1
Answer:8
Step-by-step explanation:
Which of the following is a list of all the factors of 24? A. 1, 2, 3, 4, 5, 6, 8, 12, 24 B. 1, 2, 3, 4, 6, 8, 12, 24 C. 2 × 2 × 2 × 3 D. 2, 3, 4, 8, 16, 24
Answer:
Step-by-step explanation:
$3.79 per pound for chicken wings OR $20.25 for a 5-pound bag
Answer:29.04
Step-by-step explanation:
3.79+20.25=24.04
24.04+5=29.04
Can someone help me pls? *BRAINLIEST AND 15 POINTS*
Answer: D
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
d) x = 4/3
Step-by-step explanation:
Given equation,
→ -x + (3/7) = 2x - (25/7)
Now the value of x will be,
→ -x + (3/7) = 2x - (25/7)
→ -x - 2x = -(25/7) - (3/7)
→ -3x = -28/7
→ -3x = -4
→ x = -4/-3
→ [ x = 4/3 ]
Hence, the value of x is 4/3.
Write the decimal as a fraction or a mixed number in simplest form.
1. -0.7
2. 0.125
3. -3.1
4. -10.25
Answer:
1. -7/10
2.1/8
3. - 3 1/10
4. -10 1/4
Step-by-step explanation:
Please help greatly appreciated :)
Step-by-step explanation:
we know ,
area of circle =πr^2
hence we get from the figure that the diameter of circle is 19 cm and we can find radius
r=d/2
r=18/2=9cm
area of semicircle =πr^2/2
area of Semi circle equals to =22*(9)^2/7/2
=127.2857143
Answer:
Today: Sunday, 11 October 2020
Hour: 23.05 WIB (Indonesian)
_________________________
D = 18
r = 18 ÷ 2 = 9
area of semicircle = πr²/2
area of semicircle = 3.142 . 9²/2
area of semicircle = 3.142 . 81/2
area of semicircle = 254.502/2
area of semicircle = 127.251 cm²
Help please ASAP ASAP
Answer:
x= 44
Step-by-step explanation:
Add 82+54.
Subtract 136 from 180. Giving you your answer.
Always subtract from 180 since a triangle is always 180.
Can you mark me brainliest? And 5 star?
Answer:
x= 44
Step-by-step explanation:
180 = 82 + 54 + x
180 = 136 + x
180 - 136 = 136 -136 + x
44 = x
2x+2a=4b solve for a
Answer:
a=2b-x
Step-by-step explanation:
help! this is urgent!
Answer:
A
Step-by-step explanation:
because if you put A into a calculator it equals 81.
hope this helps
Answer:
81 is the perfect square of the first option
Step-by-step explanation:
It is asking for the perfect square so the third option will be eliminated because that is cubed.
The fourth option will also be eliminated because it is multiplication.
The second option will be eliminated because it has addition.
81 is the perfect square of the first option
Hope this helps!
What is the slope of the line that passes through (-3,5) & (4,-1)
Answer:
-6/7, the first one
Answer:
[tex]\boxed {m = -\frac{6}{7}}[/tex]
Step-by-step explanation:
Use the Slope Formula to help determine the slope of the two following points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following points to the formula:
[tex](x_{1}, y_{1}) = (-3, 5)[/tex]
[tex](x_{2}, y_{2}) = (4, -1)[/tex]
[tex]m = \frac{-1 - 5}{4 + 3}[/tex]
-Solve for the slope:
[tex]m = \frac{-1 - 5}{4 + 3}[/tex]
[tex]m = \frac{-6}{7}[/tex]
[tex]\boxed {m = -\frac{6}{7}}[/tex]
Therefore, the slope is [tex]-\frac{6}{7}[/tex].
Match each complex numbers with its corresponding distance to the origin
Answer:
2. z = 1 - 2·i → √5
3. z = 4 + 3·i → 54
4. z = 6 - 8·i → 10
1. z = √5 - i → √6
Step-by-step explanation:
1. z = √5 - i
The distance from the origin = √((√5)² +1²) = √(5 + (-1)²) = √6
Therefore, z = √5 - i → √6
2) z = 1 - 2·i
The distance from the origin = √(1² + (-2)²) = √5
Therefore, z = 1 - 2·i → √5
3) z = 4 + 3·i
The distance from the origin = √(4²+3²)) = √(16 + 9) = √25 = 5
Therefore, z = 4 + 3·i → 5
4) z = 6 - 8·i
The distance from the origin = √(6²+8²)) = √(36 + 64) = √100= 10
Therefore, z = 6 - 8·i → 10
