Let the lawn seats purchased by the business be : L
Let the reserved seats purchased by the business be : R
Given :
⊕ Cost of each lawn seat : $10
⊕ Cost of each reserved seat : $25
⊕ Sponsoring business has given the $375 to purchase seats
⊕ School purchased 30 seats using all of the money
⇒ L + R = 30 ---------- (1)
⇒ 10L + 25R = 375 ----------- (2)
Multiplying equation (1) with 10, we get :
⇒ 10L + 10R = 300 ------------- (3)
Subtracting equation (3) from equation (2), we get :
⇒ 10L + 25R - (10L - 10R) = 375 - 300
⇒ 25R - 10R = 75
⇒ 15R = 75
⇒ R = 5
Substituting R = 5 in equation (1), we get :
⇒ L + 5 = 30
⇒ L = 25
Answer: The Business purchased 25 lawn seats and 5 reserved seats
The vertices of a triangle are located on a coordinate grid as follows: A (2,2) ,B (2,-6) , and C (-5,-6) . What is the area of ABC ? A. 6 square units B. 12 square units C. 28 square units D. 56 square units
Find the
volume of the
composite solid
Answer:
253.5 ft³
Step-by-step explanation:
Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height
Volume of a prism = base area × height
Volume of the pyramid
= [tex] \frac{1}{3} [/tex]× (6×6.5÷2) × 9
= [tex] \frac{1}{3} [/tex]× 19.5 × 9
= 58.5 ft³
Volume of the prism
= (6×6.5÷2) × 10
= 195 ft³
Volume of the solid
= 58.5 + 195
= 253.5 ft³
Answer:
A
Step-by-step explanation:
the base is 19.5 feet squared
(6 * 6.5 / 2)
multiplied by 10 gives you 195 feet cubed for the lower solid
19.5 * 9 / 3
gives you 58.5 feet cubed for the upper solid
just add both volumes together
Question 1 of 10
What is the x-intercept of the function graphed below?
The "x-interept" is the point where the graph crosses the x-axis.
From here, it looks like this graph crosses the x-axis where x=2 .
So the point is (2, 0) .
That's choice-A .
Prob and stats question help
Answer:
It is C
Step-by-step explanation:
Trust me, i got it right
Answer:
C
Step-by-step explanation:
have a great rest of your day!! btw Ill view ur profile!! :)
URGENT!!!
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)they have 20 dollar's in total
b)she is left with -12 dollar's
Explanation
total money = 5 + 7 + 8
= 20
Money Dalila had = 7 dollars
Money she spent = 12 dollars
money she is left with = 7 - 12 dollars
= -5 dollars
Help me plzzz , if u help me I flippin love u yoooooooooooooooooooooooooooooooooooooo:)
Answer:
7 solutions
Step-by-step explanation:
Find the area of the sector in
terms of pi.
150°
12
Area = [?]π
Enter
Can someone please help ASAP!!
Step-by-step explanation:
you need to find:
uw:
uv:
vw= 8(already known)
Measure of W= 35
Measure of u= 90
measure of v= 180-90+35= 55
finding uv:
sin(35)= uv/8
0.57=uv/8
4.56=uv
finding uw:
sin(55)= uw/8
0.82= uw/8
6.56= uw
Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?
Answer:
no
the goal total would be too high
Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.
__
If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...
s + 2s = 9
3s = 9 . . . . . . collect terms
s = 9/3 = 3 . . . divide by the coefficient of s
Sadie scored 3 goals. (s=4 is not the solution to the problem)
what is the probability of throwing an odd number with a fair die
Answer:3/6 or 1/2
Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.
This makes no sense, help pls
Please mark me branliest!
**Answer**
16 if you want exact, 20 if you want a little over.
**Explanation**
So check this... it's $50 per student that attends the camp, right?
(Nod if you're with me.)
The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800
5 dozen is the same as 50 donuts.
You multiply to get the total amount of donuts he buys in the total days (16).
Each 10 donuts costs 10 dollars.
If the dude buys 800 donuts it cost him $800.
And it costs 50 dollars for someone to go to camp.
So you divide 800/50 = 16 students
Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.
You are very welcome!!
Plz help i need a correct answer asap
A is
[tex] | - 9| + |9| [/tex]
absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)
B ist just 18
is it possible to make a triangle with a measure of 1o m 6m and 7m
Answer:
Step-by-step explanation:
So basically you
Then you have to
And finally the answer is
What is the range of this function?
Answer:
[0, ∞)
0≤y<∞
Step-by-step explanation:
The range is the possible values that y can take
y goes from 0 to positive infinity
[0, ∞)
0≤y<∞
Answer:
[tex]y\geq 0\\[/tex]
y ∈ [0, ∞)
Step-by-step explanation:
The range of a function is the set of all possible output values. In this case, one can see that the graph never goes below the value (0), therefore the range is y will always be greater than or equal to (0).
FACTOR b2 – 18b + 81
Answer:
(b-9)^2
Step-by-step explanation:
b^2-18b+81
=b^2-(9+9)b+81
=b^2-9b-9b+81
=b(b-9)-9(b-9)
=(b-9)(b-9)
=(b-9)^2
Hope this helps u!!
which function represents the inverse of the function f(x)=4x
Answer:
the answer is number 4 h(x) = 1/4 x
Answer:
the answer is 4 h(x) = 1/4 x.
Step-by-step explanation:
50 POINTS PLZ HELP!!!
Your boss hands you the monthly data that shows the number of orders coming in to and out of the warehouse. The data is in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents.
Answer:
The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.
Step-by-step explanation:
For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.
Alternate Interpretation
If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.
Answer:
Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Interne.
which expression represents these words?
8 more than the quotient of 32 and 4
A. (32-4)+8
B. 32÷4-8
C. (32-4)-8
D. 32÷4+8
Answer:
(32 ÷4) +8
Step-by-step explanation:
More than means it comes after
quotient of 32 and 4
32÷ 4
8 more than
(32 ÷4) +8
Find the product of (4z2 + 7z – 8) and (–z + 3).
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.
Answer:
-4z^3 + 5z^2 + 29z -24
Step-by-step explanation:
(4z^2 + 7z-8) (-z+3)
would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24
and simplified to -4z^3 + 5z^2 + 29z -24
Answer:
5
29
Step-by-step explanation:
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
help me please geometry!!
Find the missing side length.
Set up a ratio:
16/12 = 28/?
Cross multiply:
16? = 12 x 28
16? = 336
Divide both sides by 16:
? = 336/16
? = 21
Please help me with this math problem. Only answer if your sure it’s correct. Pls answer ASAP!
Answer:
Step-by-step explanation:
Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them. We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!
Step-by-step explanation:
hear Is your answer check
There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B.
The total length of these two carriers is 4198 feet, while the difference of their lengths is only
10 feet.
Answer:
Carrier A is 2,104 feet and Carrier B is 2,094 feet.
Step-by-step explanation:
Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:
(4,198 - 10) / 2 = X
4.188 / 2 = X
2,094 = X
2,094 + 10 = 2,104
2,094 + 2,104 = 4,198
Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.
The temperature today will be at most 50°F. Write Inequality
Let h be high temperature for today.
We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.
Let us represent this information by our inequality.
Therefore, our desired inequality will be .
h [tex]\geq[/tex] 50 degrees
A circular table top has a radius of 24 inches.
What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
Answer:
1809 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 24 in
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(24 in)²Evaluate exponents: A = 3.14(576 in²)Multiply: A = 1808.64 in²Round: A ≈ 1809 in²Answer:
Area of circular table is 1,809 inches².
Step-by-step explanation:
Area of circular table is given by
Area = π r²
substitute the values
Area = 3.14 × ( 24 inches )²
evaluate the exponent
Area = 3.14 × 576 inches²
multiply the numbers
Area = 1,808.64 inches ²
Round
Area = 1,809 inches²
Small circular disks are being cut from thin sheets of steel. The steel weighs 1.6 grams per square centimeter. The disks need to have a diameter of 5 centimeters.
(A) find the area of the disk to the nearest hundredth of a square centimeter. Show the steps in your calculation.
Answer:
[tex]A = 19.63cm^2[/tex]
Step-by-step explanation:
Given
[tex]d =5cm[/tex]
[tex]Weight = 1.6g/cm^2[/tex]
Required
The area (A) of the disk
This is calculated as:
[tex]A = \frac{\pi * d^2}{4}[/tex]
So, we have:
[tex]A = \frac{3.14 * 5^2}{4}[/tex]
[tex]A = \frac{3.14 * 25}{4}[/tex]
[tex]A = \frac{78.5}{4}[/tex]
[tex]A = 19.625[/tex]
[tex]A = 19.63cm^2[/tex] --- approximated
Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|
Answer:
We know that:
H(x) = |1 - x^3|
and:
We want to write H(x) as f( g(x) ) , such that for two functions:
So we want to find two functions f(x) and g(x) such that:
f( g(x) ) = |1 - x^3|
Where neither of these functions can be an identity function.
Let's define g(x) as:
g(x) = x^3 + 2
And f(x) as:
f(x) = | A - x|
Where A can be a real number, we need to find the value of A.
Then:
f(g(x)) = |A - g(x)|
and remember that g(x) = x^3 + 2
then:
f(g(x)) = |A - g(x)| = |A - x^3 - 2|
And this must be equal to:
|A - x^3 - 2| = |1 - x^3|
Then:
A = 3
The functions are then:
f(x) = | 3 - x|
g(x) = x^3 + 2
And H(x) = f( g(x) )
Is w = 8 a solution to the equation 5 + w = 58? Explain
No.
Since w = 8, you must replace the variable with the number associated to it.
So, it would be 5 + 8 = 58
5 + 8 is not equal to 58, it is equal to 13.
If you wanted to find out what w was, simply subtract 5 on both sides.
w = 58 - 5
PLS HELP ASAP !!! PLSSS !!
Answer:
74
Step-by-step explanation:
the lines r parallel and the angle on the same side
Answer:
74°
Step-by-step explanation:
..........................
explain why triangles in the figure are similar. then find the missing length x
Answer:
∨∨∨∨see below∨∨∨∨∨∨
Step-by-step explanation: 6 26 18 13
The two outside angles are congruent. The two inside angles are supplemental thus they are equal. The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.
find x
4 is to x as 5 is to 7.5
4/x = 5/7.5 solve for x
4 × 7.5 / 5 = x
30 / 5 = x
6 = x
