Answer:
Number of children = x = 88
Number of Adults = y = 252
Step-by-step explanation:
Let us represent:
Number of children = x
Number of Adults = y
On a certain hot summer's day, 340 people used the public swimming pool.
Hence:
x + y = 340..... Equation 1
x = 340 - y
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.
$1.25 × x + $2.25 × y =$ 677
1.25x + 2.25y = 677..... Equation 2
Let us substitute: 340 - y for x in Equation 2
1.25(340 - y) + 2.25y = 677
= 425 - 1.25y + 2.25y = 677
Collect like terms
- 1.25y + 2.25y = 677 - 425
1y = 252
y = 252
Solving for x
x = 340 - y
x = 340 - 252
x = 88
Therefore the number of children and adults that swam at the public pool that day are: 88 children and 252 Adults.e
If ABC is similar to triangle EDC find AC
Answer:
80
Step-by-step explanation:
x = 15
5(15) + 5 = 80
A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commission
Answer:
Step-by-step explanation:
1/10=0.1
if the total sales is 26,000
the commission will be 26,000*0.1=2,600 dollars
10 points
Question 6. A bakery offers a sale price of $2.50 for 4 muffins. What is
the price for 12 muffins? *
A $5.00
B $7.00
C$7.50
O D $10.00
Answer:
2.50 : 4
x : 12
2.50 x 12=4x
4x= 30
x=30/4
x= $7.50
C
Bridget and Caroline are marking exam papers. Each set takes Bridget 91 minutes and Caroline 2 hours. Express the times Bridget and Caroline take as a ratio in its simplest form.
factor the following trinomials x^2-2x-1 and x^2-3x+1
Answer:
x²^41
Step-by-step explanation:
x²^41 combine the factors only
what value(s) of x will make x to the 2nd power =9 true
Answer:
x = 3 , X = -3
In x 2 = 9 , you need to get rid of the power of 2 in order to isolate just x This involves finding the square root. √ x 2 = x However there are 2 possible answers to a square root, a positive or a negative answer. x = ± √ 9 x = ± 3
What is −3x+4y=−16 in slope-intercept form?
Answer:
y=3/4x-4
Step-by-step explanation:
First you put x to the other side of the equation, so you have 4y = 3x-16. Next you need to get y alone so you get 4y/4=y. But, you need to do this to both sides of the equation, so you do 3x-16/4=3/4x-4. All in all, your slope-intercept form is y=3/4x-4.
help pls
Factor completely. 5x2-2x - 7
Step-by-step explanation:
[tex] \tt{5 {x}^{2} - 2x - 7}[/tex]
Find the two numbers that multiply to get 35 and subtract to get 2. The two numbers should be 5 & 7.
⟶ [tex] \tt{5 {x}^{2} - (7 - 5)x - 7}[/tex]
Distribute x through the parentheses
⟶ [tex] \tt{5 {x}^{2} - 7x + 5x - 7}[/tex]
⟶ [tex] \tt{ \underbrace{5 {x}^{2} - 7x } \: + \underbrace{5x - 7}}[/tex]
⟶ [tex] \tt{x(5x - 7) + 1(5x - 7)}[/tex]
⟶ [tex] \tt{(x + 1)(5x - 7)}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(x + 1)(5x - 7)}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Alina is moving into a two-bedroom apartment in Downtown Tampa. The monthly rent is $2,000. Her up-front fees are shown. How much can she expect to pay up-front for this apartment? Round to the nearest dollar.
Application fee: 3% of one month's rent
Credit application fee: $20
Security deposit: 1 month's rent and last month's rent
Broker's fee: 14% of year's rent
Answer:
7440
Step-by-step explanation:
3%×2000=60
60+20=80
2000+2000=4000
4000+80=4080
14%×24000=3360+4080=7440
Please please please help me I do not understand this
X
Complete the table
Graph
Vertical
change
horizontal
change
slope
А
B
B
С
(30,75)
(10.3.5)
(10.35)
/(1,3)
|(2.1.5)
Answer:
The complete table is shown below:
Graph Vertical Change Horizontal Change Slope
A 6 3 2
B 2 8 1/4
C 40 20 2
Step-by-step explanation:
Graph A
From graph A, it is clear that
(x₁, y₁) = (1, 3)
(x₂, y₂) = (4, 9)
Vertical change = y₂ - y₁ = 9 - 3 = 6
Horizontal change = x₂ - x₁ = 4 - 1 = 3
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [9 - 3] / [4 - 1 ]
= 6 / 3
= 2
Thus, the slope of the line = m = 2
Graph B
From graph B, it is clear that
(x₁, y₁) = (2, 1.5)
(x₂, y₂) = (10, 3.5)
Vertical change = y₂ - y₁ = 3.5 - 1.5 = 2
Horizontal change = x₂ - x₁ = 10 - 2 = 8
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [3.5 - 1.5] / [10 - 2 ]
= 2 / 8
= 1/4
Thus, the slope of the line = m = 1/4
Graph C
From graph C, it is clear that
(x₁, y₁) = (10, 35)
(x₂, y₂) = (30, 75)
Vertical change = y₂ - y₁ = 75 - 35 = 40
Horizontal change = x₂ - x₁ = 30 - 10 = 20
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [75 - 35] / [30 - 10 ]
= 40 / 20
= 2
Thus, the slope of the line = m = 1/4
Therefore,
The complete table is shown below:
Graph Vertical Change Horizontal Change Slope
A 6 3 2
B 2 8 1/4
C 40 20 2
The difference between an observational study and a experiment is that
Answer:
observational study, you already know the outcome and you are doing it to take notes or learn while an experiment the outcome is unknown and you are seeing the reaction
Step-by-step explanation:
Hopes this helps??
Answer:
Step-by-step explanation:
Observational study means you collect info by observing something experimental means you have an experiment like how will this change if I do this or what will happen etc.
Pls help due ASAP
Show workings
Answer:
JP = 18
PS = 9
Step-by-step explanation:
ps being the shorter side is one third of the line JS and 1/3 of 27 is 9
jp being the longer side is 2/3 the length of js and 2/3s of 27 is 18
Answer:
JP=18
PS=9
Step-by-step explanation:
centroid divides median in the ratio 2:1
so,
JP:PS=2:1
Now take PS be x
then JP=2x
now, given JS=27
JP+PS=27
2x+x=27
3x=27
x=9
so,
PS=9
AND JP=18
There are 650 visitors to an art gallery on Friday if 20% of the visitors were children and 40% of the visitors were women how many men visited the Art Gallery on Friday
The exponential function is graphed below.( ) y=3 3 1 xWhat is the value of the x-intercept for the function?
Answer: 2^(3) equals to 8.
So the x value is 3.
Step-by-step explanation: Hope this Helps!
Please answer!!!!! I will give brainliest!
Answer: answered :)
Step-by-step explanation:
What is the quotient of 57÷313?
Answer:
0.1821
Step-by-step explanation:
Which system of equations does the graph represent?
Options:
1) y=x+4
Y=-2x-4
2) y=-x -4
Y=2x-2
3) y=-x+4
Y=2x-4
4) y=x-4
Y=-2x-2
Answer:
It's option 1) y=x+4 y=-2x-4
Use the tables to help you compare the two ratios.
2 tables. One table has 2 rows. The first row has entries 3, 6, 9. The second row has entries 10, 20, 30. The second table has 2 rows. The first row has entries 1, 2, 3. The second row has entries 5, 10, 15.
Compare the ratios 1:5 and 3:10.
The ratio 1:5 is less than 3:10
The ratio 1:5 is greater than 3:10
The ratio 1:5 is equal to 3:10
The ratios cannot be compared
Answer: A. The ratio 1:5 is less than 3:10
Step-by-step explanation:
use rounding to estimate 10 4/5 + 8 9/10
a. 20
b.19
c.18
d.19 1/2
Jean's bedroom is 13 feet by 13 feet. She has chosen a carpet which costs $28.60 per square yard. This includes installation.
Answer:
$528.8
Step-by-step explanation:
Given data
Dimension
13 feet by 13 feet
1 ft =4.3 yard
Area= 4.3^2
Area= 18.49 yard
cost of carpet
1 yard= $28.60
18.49 yard= x
cross multiply
x= 18.49*28.60
x=$528.8
Hence the cost to cover the room is $528.8
Which of the following is a Recursive Formula for an Arithmetic Sequence?
a1 = -2, an = an-1 + 5
an = 5n – 7
a1 = -2, an= 5an-1
an = -2 + 5(n – 1)
Answer:
The correct answer is Option 1: a1 = -2, an = an-1 + 5
Step-by-step explanation:
A recursive formula is a formula that uses previous term in order to calculate the next term in a sequence.
In case of arithmetic sequence, the next term is obtain by adding a specific number to the last term.
This can be written as:
[tex]a_n = a_{n-1}+d[/tex]
Here
a_n is the terms we are calculating
a_{n-1} is the previous term and d is the common difference.
If we compare the given options, we can see that only option 1 matches with the general form of recursive formula
an = an-1 + 5
Here
5 is the common difference
Hence,
The correct answer is Option 1: a1 = -2, an = an-1 + 5
Jackson spent 2/3 of his money on an antique game. He has a third of his money left which is $15.50. If he spent 2/3 of his money on the jacket, how much did he spend?
Answer:
$41.33
Step-by-step explanation:
Let the money be x
Game cost = 2/3*x
balance= 1/3*x
x/3= 15.5
Solve for x
x= 15.5*3
x=$46.5
so his money was $46.5
Amount spent on Game
=2/3*46.5
=$31
He spent 2/3 of 15.5 on Jacket
=2/3*15.5
=$10.33
In all he spent =31+10.33 =$41.33
what is the Y interpret of the question? y=-1/2x-6
Answer:
The y-intercept is (0,-6)
Step-by-step explanation:
In the equation y = mx + b, b is the y-intercept. In your equation, the b is -6, so the y-intercept is (0,-6).
Answer:
Y-intercept: (0, -6)
Step-by-step explanation:
We have to determine the "y-intercept" in the equation.
The equation is written out in slope-intercept form: y = mx + b
The "b" variable would be our y-intercept, or beginning point.
In the y = -1/2x-6 equation, you would see that the "-6" is in place of the "b" variable.
Therefore, the y-intercept of the line would be (0, -6).
Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500.
What is the tax rate?
What is the value of x in the equation 24-2x=16
Answer:
x = 4
Step-by-step explanation:
24 - 2x = 16
-24 -24
-2x = -8
-2 -2 = 4
if f(x)=8x+3 what is the value of x when f(x) =19
Answer:
2
Step-by-step explanation:
plug in f(x)
19=8x+3
subtract 3 from both sides
16=8x
divide by 8
2=x
Please help me I am its in the pic
Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
10
2. g2 - h
2
3. g + h2
-21
4. g + h
-10
5. h - g
46
6. g - h
-4
Answers:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Step-by-step explanation:
1. -7 x 3 = -21
2. -7^2 = - 49
-49 + 3 = -46
3. 3^2 = 9
-7 + 9 = 2
4. -7 + 3 = -4
5. 3 - -7 = 3 + 7 = 10
6. -7 - 3 = -10
Noah's oven thermometer gives a reading that is 2% greater than the actual temperature.
If the actual temperature is 325°F, what will the thermometer reading be?
Round your answer to the tenths (first) decimal place.
Do not include units (°F) in your answer.
PLS HELP
357 I think is the right answer.Since the thermometer reading was 7°F greater than 350. The thermometer reading is 359+7=357
Find the product.
(3 - 4i)(2 + 3i)
A)
6-17i
B)
6 - i
C)
18 + i
it
D)
18 + 171
ng
9
Answer:
I dont know what letter but its 12i^2+i+6
Step-by-step explanation:
cross multiply
all states have a minimum wage. true or false
Answer:
OF course it's False
Step-by-step explanation:
As many places like US itself have high wages
