Answer:
$40
Step-by-step explanation:
Let y represent the amount of money that Byron earned mowing the neigbours's lawn.
Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4
Them he spent $6 on porpcon and drinks; which means that the total amount spent
= y/4 + 6
The amount left would be
y - (y/4 + 6) = y - y/4 - 6
When he went home, he had $24.00 left which means that;
y - y/4 - 6 = 24
y - y/4 = 24 + 6
3y/4 = 30
Cross multiply
3y = 120
y = $40
Therefore, Byron earned $40 mowing the neighbour's lawn.
Answer:
40 give him brainliest
Step-by-step explanation:
Find the value of x
Step-by-step explanation:
(4x-7)°=(7x-61)°
61-7=7x-4x
54=3x
x=18°
solve for y. will give brainiest
Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Two cruise ships leave the same port with a 35° angle between their path. Cruise A is traveling at 18 miles per hour and Cruise B is traveling at 15 miles per hour. If they travel in a straight path, find the distance between the cruise ships after 2 hours
Answer:
[tex]20\:\mathrm{miles}[/tex]
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
[tex]s=\frac{d}{t}, d=s\cdot t[/tex]
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:
[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).
9514 1404 393
Answer:
20.7 miles
Step-by-step explanation:
The distance that A travels in the same direction as B is ...
(18 mi/h)(2 h)cos(35°) = 29.489 mi
So, the difference in distances in that direction is ...
(15 mi/h)(2 h) -29.489 mi = 0.511 mi
__
The distance A travels in the direction perpendicular to B is ...
(18 mi/h)(2 h)sin(35°) = 20.649 mi
So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:
AB = √(0.511² +20.649²) = √426.632 . . . miles
AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
Solve the equation.
x/-2-17=-7
A.) 48
B.) –2
C.) 14
D.) –20
1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams
Answer:
24,000
Step-by-step explanation:
Answer:
24,000
Step-by-step explanation:
Every kilogram is 1,000 grams
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
PLSSS HELP
Diego earns $10 per hour babysitting. Assume that he has no money saved before he starts babysitting and plans to save all of his earnings. Graph how much money, y, he has after x hours of babysitting.
Answer:
Hey!
Step-by-step explanation:
Legit just like make a graph like this:
10 | 1
20 | 2
30 | 3
And so on and so forth
Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet? Answer may be written using decimal form and should be rounded to the nearest hundredths when necessary.
Answer:182.88cm
Step-by-step explanation:
12in in a foot
12in x 6 ft. = 72in
72in x 2.54cm = 182.88cm
Answer:
182.88
Step-by-step explanation:
6 ft = 72 inches
72(in) x 2.54(cm per inch) = 182.88cm
a company sets up a food booth at the county fair. the fee for the food booth is 100$ plus 5$ per day. which expression can be used to determine how much money it would cost after x days?
Answer:
Total cost after x days = 100 + 5(x)
Step-by-step explanation:
Given:
Fixed cost = $100
Per day charges = $5
Find:
Total cost after x days
Computation:
Assume;
Number of days = x
Total cost after x days = $100 + $5(x)
Total cost after x days = 100 + 5(x)
This recipe makes 4 portions of porridge.
Complete the amount of each ingredient that is needed to make just 3 portions.
Recipe: Serves 4
240 g oats
1.2 L milk
60 g sugar
Can someone help
Answer:
180 g oats
0.9 L milk
45 g sugar
Step-by-step explanation:
those are all divided by 3/4 making just 3 portions :D
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
{(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O{0, -9, -2, -3)
Answer: O {(0, -9), (-9, 0), (-3, -3)}
Step-by-step explanation:
5. Order from least to greatest.
4996,
10
48%
3. 41
0.408,
7100
Answer:
0.408
48%
3.41
10
4996
7100
Step-by-step explanation:
Answer:
It should be 0.408, 48%( which is equal to 0.48), 3.41,10,4996,and 7100
Step-by-step explanation:
Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.
Answer:
He earns $400 weekly and $57.14
Step-by-step explanation:
40*10 = $400
Help me out please an thank you
need help asap please
Answer:
-3.4
Step-by-step explanation:
-26=10A+8
-26-8=10A
-34=10A
-34/10=A
-3.4=A
Answer:
a= -17/5 or -3.4
Step-by-step explanation:
Move all terms that don't contain a to the right side and solve.
Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is the least number of marbles that Betsy could get?
Answer:
23 marbles
Step-by-step explanation:
Number of children = 10
Number of marbles = 180
Since Betsy gets the most and no 2 children gets the same number of marbles
The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each
That is :
Betsy = x
9th child = x - 1
8th child = x - 2,... 1st child = x - 9
Hence,
(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180
10x - 45 = 180
10x = 180 + 45
x = 225 / 10
x = 22.5
x = 23
Hence, the least Betsy could get is 23 marbles
Solve using quadratic formula.
[tex]4 {s}^{2} + 8s + 4 = 0[/tex]
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units
Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)
Answer (this one's written in slope-intercept form):
[tex]y= \frac{3}{5}x -3[/tex]
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:
[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]
3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
Ryan buys landscape supplies that total $179.92 before tax. The sales tax amount is $14.39. What percent sales tax did Ryan pay?
Answer:
Step-by-step explanation:
thx for the points
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that
If 4y = 7x, write the ratio of x to y.
Answer:
7:4 would be the ratio I think
The ratio of the perimeter of the rectangle ABCD to the perimeter of rectangle EFGH is 4:7. The value of x is
Answer:
x = ~8.76
Step-by-step explanation:
Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.
4/7 = 0.571
5 / 0.571 = ~8.76
The model below represents the equation 3x + 2 = 11.
>
D
What is the second step in finding the value of x?
A subtract 2 candies from each side of the model
3 add 2 candies to each side of the model
. subtract 11 candies from each side of the model
divide the candies equally among the 3 cans
Answer:
side
Step-by-step explanation:
Help please :( !
Compare . Who picked fruit at a faster pace ?
Answer:
Shawn.
Step-by-step explanation:
We can solve for apples per hour and pears per hour. For Shawn, to get the apples per hour, we do 4/2 which is 2 bushels of apples per hour. For pears, we do 5/2 which is 2.5 bushels of pears per hour.
When Carla is picking, we can do:4/3 which is 1 and 1/3, which is her apple bushel picking per hour. For her pears, she picks them at 2 bushels of pears per hour.
Since Shawn picks her apples quicker per hour, and her pears quicker per hour, Shawn picks at a faster fruit pace.
Jack rode a bike through a new in the path shown at the right. If Jack took an average of 2 pictures per mile, how many pictures did Jack take on his bike ride?
Answer:
Jack took 10 pictures on his bike ride.
Step-by-step explanation:
Given that:
Given measurements of sides are 3 miles and 4 miles
We will find the distance of the new route by using Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
(3)² + (4)² = c²
9 + 16 = c²
25 = c²
c² = 25
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]
The distance of new route = 5 miles
Picture taken per mile = 2
Picture taken on bike ride = 2*5 = 10 pictures
Hence,
Jack took 10 pictures on his bike ride.
HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.
Answer:
y = 7/4x
Step-by-step explanation:
All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.
The equation would then be y = 7/4x
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form