Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?
A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.
C. Sun'N'Fun is never cheaper than Wavy Dave's.
D. Sun'N'Fun is always cheaper than Wavy Dave's.
Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
Let y represent the total renting fee for x hours.
Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:
y = 17.5x + 20
Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:
y = 15x + 30
For Sun'N'Fun to be cheaper than Wavy Dave's:
15x + 30 < 17.5x + 20
10 < 2.5x
4 < x
x > 4
Hence, Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
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12. An electrician charges a 45.00 dollars travel fee plus 30.00 dollars per hour of labor. Let y be the cost in dollars for x hours of work. Write the slope-intercept form of the equation.
y = 45+30x
13. Using the equation from number 12, if the electrician works 3 hours on a job, how much will the bill be?
14. Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
Answer:
12. y=30x+45
13. 135 dollars
y=45+30(3)
y=45+90
y=135 dollars
14. 8 full hours
300=45+30x
255=30x
x = 8.5 or 8 full hours
Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73
Answer:
73
7.32
7.23
7.3
hope this helps☆☆
What is the value of x?
(picture attached)
x= 48
P/s: sorry. I cant explain
ok done.thank to me :>
2) Given the sequence 5, -2, -9, ...
Find the first term:
Is the sequence arithmetic?
Find the common difference d:
Find the general term an:
Find the 20th term:
Find the sum of the first 50 terms:
Answer:
Find the first term:
The first term is 5
Is the sequence arithmetic?
Yes because (5 -7 = -2) (-2 - 7 = -9)
Find the common difference d:
The common difference is -7
Find the general term an:
[tex]a_{n}[/tex] = (first term) + ((nth term) -1) · (common difference)
[tex]a_{n}[/tex] = 5 + (n - 1) · (-7)
Find the 20th term:
[tex]a_{20}[/tex] = 5 + (20 - 1) · (-7)
= -128
Find the sum of the first 50 terms:
[tex]a_{50}[/tex] = 5 + (50 - 1) · (-7)
= -338
If -2 - 4x = -8x + 3x,
then what is X-2?
Answer:
-0.8
Step-by-step explanation:
-2 -4 = -8x + 3x
-6 =-5x
x = 1.2
so x-2 =
1.2 -2 = -0.8
Filled up gas tank with 24 gallons. He used .06 gal every mile.
Answer:
are you asking how many miles he can go bc it would be .6 * 24 = 14.4 miles before he runs out
Evaluate the following expression
a+b divide c
when:
a = 2
b= -3
C= -1
d=5
Show your work by substituting and solving.
Answer:
1
Step-by-step explanation:
a+b divide c -> [tex]\frac{a+b}{c}[/tex]
Plugging in - > [tex]\frac{2+-3}{-1}[/tex]
Simplifying: [tex]\frac{2-3}{-1}[/tex]
Subtracting: [tex]\frac{-1}{-1}[/tex]
Simplifying: 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!
Answer:
At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.
Step-by-step explanation:
The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls
There are 600 boys and 800 girls.
SOLUTION:We are given the following facts:
The total number of students is 1,400.The ratio of boys to girls is 3:4.We express this as a partitive proportion.
» Solve for x.
[tex] \sf 3x + 4x = 1400 [/tex][tex] \sf 7x = 1400 [/tex][tex] \sf x = \frac{1400}{7} [/tex][tex] \sf x = 200 [/tex]Now we to solve for the number of boys and the number of girls.
» Number of boys:
= [tex] \sf 3x [/tex] = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]» Number of girls:
= [tex] \sf 4x [/tex] = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.
HOPE IT HELPS!The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.
I know u felt offend and I love you so much so much love and hope that not everyone else is going to accept that as a result I am now in a person
Answer:
9.3+ b= 14.5
Step-by-step explanation:
At 6 a.m. the temperature was -9oF. By 11 a.m., the temperature had increased 34oF. What was the temperature at 11 a.m.?
The resulting temperature was 25oF.
PLS HURRY ONLY CORRECT ANSWERS 50 POINTS NEED THIS IN ONE HOUR
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Part A: 70x+50=$250
Part B: 75x-5x+$35=$250
They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.
not 100% sure on Part B
List three negative numbers that are greater than -9
Answer:
use these and choose 3 your welcome
4. FGH - MNP. Solve for x.
Answer:
x = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values
[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 12 ( divide both sides by 2 )
x = 6
fill in the blank to make the fractions equivalent.
4/5 ?/15
Answer:
12/15
Step-by-step explanation:
times 4 by 3 because 5 is timesed by 3
pls, help! (NO LINKS!)
Thank you!
Answer:
18÷25 =0.72 convert proper fraction to decimal ,divide the numerator by the denominator.
3-0.72=3.72. add this decimal number to the whole number .final answer is 3.72
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.
Answer:
the height of nick is 1.46
Step-by-step explanation:
because to change cm into m we need to divide it by 100so 18/100is 0.18
and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height
Answer:
1.46
Step-by-step explanation:
1.64 to cm is 164
164-18 = 146
146 to meters is 1.46
plzz helpp what's (12+9⁷)+1284
Answer:
4784265
Step-by-step explanation:
(12+9⁷)+1284
12 + 4782969 + 1284
4784265
To resolve this issue first we have to remember the rules to resolve a numeric expression, see:
Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]
Okay?!Of the houses in Kimberly's neighborhood, 5/12 are pink and another 1/3 are red. What fraction of the houses are either pink or red?
Answer:9/12
Step-by-step explanation:
You need to make the denominators the same. Multiply the 1/3 by 4 and now you are ready. You add 4/12 and 5/12 together. 9/12 houses on her block are pink/red. You can also simply it down to 3/4.
group of 3 people is going on a boat tour. If each boat holds 3 people, how many will boats will the group need?
Answer:
1
Step-by-step explanation:
there are 3 people and 1 boat holds three people
7. Two numbers are at a ratio of 5: 9. Find the larger number if the smaller number is 35.
Answer:
63
Step-by-step explanation:
HELP! SOMEONE!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
THANK YOU!
Answers:
DE = 24 inchesm∠E = 22°=================================================
Explanation:
The diagram is below.
Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.
The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.
This means we have this pairing:
A pairs with DB pairs with EC pairs with FBecause the triangles are congruent, we know that:
angle A = angle Dangle B = angle Eangle C = angle FSo if we could find out angle B, then we automatically will find out angle E as well.
Use the idea that for any triangle, the angles always add to 180
A+B+C = 180
34+B+124 = 180
B+158 = 180
B = 180-158
B = 22
Angle B is 22 degrees, and so is angle E.
----------------------
Everything in the previous section handled how to find angle E.
In this section, we'll find how long side DE is.
Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs
side AB pairs with side DEside BC pairs with side EFside AC pairs with side DFThe pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.
Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.
how to work out 85% of a number
Answer:
you change the percent into a decimal and multiply because of means multiply
Step-by-step explanation:
lets say you finding 85% of 4
.85 x 4
Can someone plz help
Answer:
y=mx+b
Step-by-step explanation:
point slope form
how do you draw the graph?
Answer:
right
Step-by-step explanation:
draw a line and right a number from 1 to 10
simpifly (4^7/5^2)^3
What is the slope of a line that passes through the points (8, 3) and (−3, 3)?
A. -8
B. 0
C. 1
D. undefined
Pasagot nga po, need ko na po kasi now
Answer:
0
Step-by-step explanation:
m = 3-3/8-(-3)
m = 0/11 = 0
What is the slope of this graph? m=[slope)
100
80
60
Number of cups
40
20
16
20
8 12
Sugar (pounds)
Answer:
Step-by-step explanation:
If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps