Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:
X is next to the number 10, so x would be the number of dinner tickets sold.
Rewrite x + y = 100 to x = 100-y
Now replace that in the 2nd equation:
10(100-y) + 6y = 900
Simplify:
1000 -10y + 6y = 900
Combine like terms:
1000 -4y = 900
Subtract 1000 from both sides
-4y = -100
Divide both sides by-4
Y = 25
Replace y in the first equation and solve for x
X + 25 = 100
X = 75
A) 75 dinner tickets were sold
B) 25 dessert tickets were sold
C) 75 x 10 = $750
D) 25 x 6 = $150
Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square?
A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By hou
many square meters does the area of the hot spring decrease? Use 3.14 for it.
Answer:
the area decreases by 1155.52 square meters
Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?
A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST
A semi circle is half a full circle. Find the area of the full circle and divide it by 2.
Area of a circle = pi x r ^2
R is half the diameter
Area of full circle:
Area = 22/7 x 21^2
Area = 1386 sq. Ft
Area of stage = 1386/2 = 693 square feet
Answer:
3.14 x 42 x 42 = 5538.96ft
If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.
Step-by-step explanation:
:))
Pls help will give brainless
Answer:
56 trucks and 24 cars
Step-by-step explanation:
Multiply each by 8 to continue the linear relationship.
Answer:
The answer is C. 56 trucks and 24 cars
Step-by-step explanation:
24/3 = 8
8 x 7 = 56
(っ◔◡◔)っ ♥ Hope It Helps ♥
If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.
Answer:
q = 2
Step-by-step explanation:
p α 1/q
p = k/q
Where, k = constant of proportionality
p = 14 ; q = 12
We can obtain the value of k
p = k/q
14 = k/12
k = 14 * 12
k = 168
p = 168/q
pq = 168
q = 168 / p
Value of q, when p = 84
q = 168 / 84
q = 2
Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of
Answer:
look at the box did you see it
Answer:
I hope you are wanting the measure of QM
QM = 12.08 in
Step-by-step explanation:
Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:
QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146
QM = √146 = 12.08 in
The numbers in the diagram below indicate the lengths of the sides of a triangle. Bernadette drew the following triangle and claims it is a right triangle.
State whether or not Bernadette is correct?
Answer:
It's not a right triangle, there isn't a right angle anywhere there.
Also, it's not applicable via pythagorean theorem
Step-by-step explanation:
Will mark brainliest
Mr. Jones has taken a survey of college students and found
that 40 out of 42 students studied last weekend. If the college
has 8,262 students, what is the best estimate of the number of
students who studied last weekend?
Answer:
B
Step-by-step explanation:
40/42 × 8,262
=7868.571429
=7869 students studied
Answer: C (depends on what order it’s in)
Step-by-step explanation:
40/42 × 8,262
=7868.571429
=7869 students studied
Please help with this problem.
Answer:
d = 28
r = 14
r² = 196
C = 87.92
Step-by-step explanation:
Given:
r = 14
To find diameter:
d = 2r
d = 2(14)
d = 28
To find r²:
14²
196
Circumference:
C = 2πr
C = 2(3.14)(14)
C = 87.92
Which of these is an example of due process?
a search without good reason
a prejudiced jury
a cruel punishment
a fair trial
Answer:
A fair trial.
Answer:
Step-by-step explanation: a search without good reason
please help!!No links
Can yall help me need help ASAP
Answer:
18+2x>_0
18/2 + 2x/2
x= 9
Step-by-step explanation:
first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2
If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal
The principal is N16.94
Step-by-step explanation:
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (123 × 100)/(3 × 242)
Principal = 12300/726
Principal = 16.9421
A cube has a surface area of 6. What's the volume?
a 1
b 1/6
c 6
d 3/2
Answer:
Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.
Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.
So since 6a^2=6
Solve
a^2=1
a=1
SO each side is equivalent to 1
Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)
Answer:
V = 1
Step-by-step explanation:
A=6a2
V=a3
Solving for V
V=6A3/2
36=6·63/2
36÷6 = 1
V = 1
A flagpole 8m high cast a shadow of 12m, while a nearby building cast a shadow of 60m. How high is a building?
Answer:
40 m
Step-by-step explanation:
8/12=x/60
x=(8*60)/12
x=40
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,
[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]
[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]
Hence, the height of the building when it cast a shadow of 60 meters is 40 m.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Help Pleaseee, i dont know how to find the period
Answer:
6 Pi
Step-by-step explanation:
The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.
when a number is divided by 15, the quotient is 18 and the remainder is 5. what is the number?
Answer:
The answer is 256
Step-by-step explanation:
You just have to get the divisor
(
40
)
and multiply by the quotient
(
6
)
, then add the remainder
(
16
)
.
So we have:
(
40.6
)
+
16
=
256
The number is 276.
Parts of a Division Problem -There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.Let us assume that the number is N.
So according to the question we can say that
N= 15(18) +1
because dividend= divisor x (quotient) + remainder and quotient is odd.
So now, N (on expanding) =15 × 18 + 5
= 275
So if N is divided by 15 the remainder would be 275+1=276.
Learn more about Parts of a Division Problem brainly.com/question/15305334 here.
#SPJ2
PLZ HELP I NEED TO TURN THIS IN IN 10 mins
Answer:
2 or 4 because it's in the middle I think 2
Step-by-step explanation:
hope this helps have a good rest of your night/day :) ❤
can I please get brainliest if correct only got like 4 pls
Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.
NEED ANSWER ASAP
Answer:
$10,467.06
Step-by-step explanation:
The computation of the future value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
here
rate of interest = 8.25% ÷ 12 = 0.6875%
And, the number of years is = 12 × 10 = 120
So, the future value is
= $4,600 × (1 + 0.6875%)^120
= $4,600 × 2.275448086
= $10,467.06
Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?
the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number
Answer:
The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.
A. 113 cm3
B. 903 cm3
C. 25 cm3
D. 38 cm3
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
6
centimeters
...................................................................................................................................................
For this case we have that by definition, the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
According to the data we have to:
Substituting we have:
The option that best fits is option B.
Answer: v=113cm3
The option that best fits is option B.
...............................................................................................................................................
Answer:
V ≈ 904 cm³
Step-by-step explanation:
Let r denotes radius
r = 6cm (given)
As it a sphere of radius 6cm,
Volume of a sphere,
V = 4/3 π r³
V = 4/3 (3.14) (6)³
V = 4/3 (3.14) x 216
V = 4 (3.14) x 72
V = 12.56 x 72
V = 904.32 cm³
Rounding off,
V ≈ 904 cm³
...............................................................................................................................................
Answer:
113 cm
Step-by-step explanation:
What is the slope of the line?
2
-2
1/2
1
Answer:
the answer to the question is 1
On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.
Answer:
18 People bought hot dogs
Step-by-step explanation:
The question is not complete, but I’m assuming you need the number of people who bought hot dogs.
25 customers bought gas.
72% of them also bought a hot dog.
So thE number of customers who bought hot dogs are 72% of 25
=> 72/100 * 25
=> 0.72 * 25
= 18 people
All statements of equality below are correct ? Need help!
Answer:
True
Step-by-step explanation:
√784/√4 = 28/2 = 14
Answer:
the answer is true
Step-by-step explanation:
because all are equal 14
Expand and Simplify: (x-5)(x+7)
Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?
Factor the expression step by step
