Answer:
$48
Step-by-step explanation:
Given that:
Money spent on clothing last month = $40
Money spent this month is 120% of the spending of the last month.
To find:
A proportion to model this situation.
And the spending done this month?
Solution:
Let us have a look at 120% first.
[tex]120\%= \dfrac{120}{100} = \dfrac{6}{5}[/tex]
[tex]\frac{6}{5}[/tex] of [tex]x[/tex] can be found by comparing [tex]x[/tex] with 5, then we have to find the equivalent of 6.
Here, [tex]x[/tex] is 40.
5 parts are equivalent to 40
1 part is equivalent to [tex]\frac{40}{5} = 8[/tex]
6 parts are equivalent to [tex]8\times 6 = 48[/tex]
OR
simply:
[tex]40 \times \dfrac{120}{100} = 48[/tex]
How many girls if its 4/3 and 120 students
Answer:
well for me I think
Step-by-step explanation:
4/3×120
480/3
160
HELPPPPPPPPPPPPPPPPPP!
A cone shape cup is made from a circular piece of paper of radius 7 by cutting out a sector and joining the edge AC and BC. Find the maximum (volume) of such a cup
Answer:
The answer is "138.10"
Step-by-step explanation:
Let r also be cone base radius and h = the cone height.
The radius for the original circle was on either side of the cone plied together = 7.
The hypotenuse is 7, as well as a right triangle, is formed. So:
[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]
Calculating the volume of the cone:
[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]
[tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]
[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]
Setting the derivative to zero and solving for h^2:
[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]
[tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]
Calculating the maximum volume:
[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]
Evaluate the expression 15g if g = 1/5.
Answer:
3
Step-by-step explanation:
15g
g=1/5
15×1/5
15/1×1/5=3
Answer:
3
Step-by-step explanation:
This is the answer because:
1) We have to substitute the value into the equation:
15(1/5)
2) Next, we have to mutiply 15 and 1/5 together since the g is just a variable that is supposed to be mutiplied with 15:
15(1/5) = 15/5 = 15 ÷ 5 = 3
Therefore, the answer is 3.
Hope this helps! :D
Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5 feet shorter than three times its width. He decides the perimeter should be 70. PLEASEEEEE ITS URGENT
Answer:
Width of the rectangle = 10 feet
Length of the rectangle = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width of the rectangle = x feet
Length of the rectangle = 3x - 5 feet
Perimeter of the rectangle = 70 feet
Perimeter of a rectangle = 2(length + width)
70 = 2{x + (3x - 5)}
70 = 2{x + 3x - 5}
70 = 2(4x - 5)
70 = 8x - 10
70 + 10 = 8x
80 = 8x
Divide both sides by 8
x = 80 / 8
= 10
Width of the rectangle = 10 feet
Length of the rectangle = 3(10) - 5
= 30 - 5
= 25 feet
sin 40 cos 50 + cos 40 sin 50 find the value
Answer:
= 1
Step-by-step explanation:
0.4131 + 0.5868 = 0.999 --> 1
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit. (2 points)
H(t) = -16t^2 +704t = -16(t^2 -44t)
Putting in vertex form: -16(t^2 -44t +484) + 704
h(t) = -16(t-22)^2 + 704
It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)
please mark me as the BRAINLIEST.....
Answer:
22 secondsStep-by-step explanation:
Given function:
h(t) = -16t² + 704tMaximum value is obtained at vertex. Using vertex formula to find the value of t at maximum height: x = -b/2a of a quadratic formula ax² + bx + c
t = -704/(-16*2) = 22heeeeeeeelpppppppppp
Answer:
14.83 feet
Step-by-step explanation:
[tex]c^{2} =a^{2} +b^{2}[/tex]
a=[tex]\sqrt{16^{2}-6^{2} }[/tex]
a=14.83 feet
Which situation leads to a unit cost of $6 per
football ticket?
Select one:
1)$6 paid for 2 football tickets
2)$6 paid for 6 football tickets
3)12 football tickets for $72
4)6 football tickets for $24
can someone help me please:(
When adding rational numbers with the same sign, you must
Answer:
put one number in front of the other
Dance club has a $20 start up fee and a $5 monthly fee
M=
B=
Y=
9514 1404 393
Answer:
y = 5x +20
Step-by-step explanation:
We assume you want the total cost (y) of x months of membership at the dance club.
This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).
y = 5x +20
Comparing this to the slope-intercept form of the equation of a line, we see ...
y = mx + b
m = 5
b = 20
What is the perimeter of JKLM?
Answer:
45
Step-by-step explanation:
∡L ≅ ∡M, given
ΔKLM is isosceles because base angles are congruent
KM ≅ KL and KM = KL
KL = 12
∡K =∡J = 60°, given
∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°
∡M = 60
∡K =∡J =∡M = 60°
ΔKJM is is equilateral because all angles have the same measure.
KM = 12
KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal
ML = 9, given
The perimeter of JKLM is the sum of the sides
P = ML +KL +KJ +MJ
P = 9 + 12 + 12 +12 = 9 +36 = 45
The average number of people who attended football games at a stadium increased from 8,000 people in the year 2005 to 12,500 in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?
56.1% is the average number of people at the games increase from 2005 to 2012
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The average number of people who attended football games at a stadium in 2005 is 8000.
The average number of people who attended football games at a stadium in 2012 is 12500.
The difference from average number of people from 2005 to 2012
12500-8000
Twelve thousand five hundred minus eight thousand
4500
To find the percentage of increase we need to divide change in number by original number
4500/8000
0.561
Now multiply with 100 because it is a hundredth part.
0.561×100=56.1
Hence 56.1% is the average number of people at the games increase from 2005 to 2012
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
PLEASE HELP !!!! I NEEDA SLEEPP
Answer:
PQR and VXW
Step-by-step explanation:
I need help pls go to my page and answer the finance question it a lot of points.
DON'T ANSWER SOMETHING IGNORANT
the Millers drove 105 miles on 4 gallons of gas. at this rate, how many miles can they drive on 6 gallons of gas.
Answer:
157.5 miles with 6 gallons
Step-by-step explanation:
105miles / 4gallons = 26.25miles per gallon
26.25miles per gallon * 6miles = 157.5 miles
There are eleven shirts in your closet, four
blue and seven green. Three of the blue
shirts and one of the green shirts fit well.
The others are too big. You randomly
select a shirt to wear. It is blue or is too
big.
On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days.
What does the "+8" mean in the expression 2x + 8?
how many more advertisements were ordered on Friday than Thursday
the number of days
the number of advertisement ordered on Friday
the total number of advertisement on both days
I NEED HELP ASAP PLS
Answer:
What does the "+8" mean in the expression 2x + 8?
The +8 is the 8 more advertisement orders received on Friday.
It's 8 more than x.
How many more advertisements were ordered on Friday than Thursday
8
The number of days
2
The number of advertisement ordered on Friday
x + 8
The total number of advertisement on both days
2x + 8
Answer:
A
Step-by-step explanation:
I took the test
PLEASE EXTRA POINTS I REALLY NEED HELP!!! 1. A ski lift carries Carol up a slope at a rate of 5 mph.
She skis down the slope, parallel to the lift, at a speed of
20 mph. The round trip takes 45 minutes.
Write and solve a system of equations to determine
how far she skis.
System:
Defined variables:
Solve:
Solution as a sentence:
Hi sorry for the late response, I know the assignment was due at 5pm today but anyway here is the answer.
System:
d= 5(0.75-t)
d= 20t
20t = 3.75 -5t
Define Variables:
d = how far Carol Skied
t = time it took Carol to go up/down
Solve:
20t = 3.75 -5t
20t + 5t = 3.75 -5t + 5t
25t = 3.75
25t/25 = 3.75/25
t = 0.15
Now we plug in the time into the Distances:
20t = 3.75 - 5t
20(0.15) = 3.75 - 5(0.15)
3 = 3.75 - 0.75
3 = 3
Solution as Sentence:
Carol Skied 3 miles
Help? How to solve step by step?
Answer: (x+2)^2/x+2
= x+2 * x+2 / x+2
= x+2
Hope it helped u,
pls mark as the brainliest
^_^
Write the equation of the line shown. Be sure to use the correct variable.
Equation:
Answer:
y = -9Step-by-step explanation:
As per diagram, y = -9 for any value of x, so it is the line with equation:
y = -9waht is this plz help
Answer:
The answer is 10 and 37 degrees.
Step-by-step explanation:
Triangle angles add up to 180.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
(Driver's Ed) Once in an intersection,
A) You may not make any lane change
B) You must be in the center lane to turn
C) You may make any lane changes you desire
D) You can change your mind about turning
expand and simplify 5(2x-1)+2(3x-6)
Answer:
16x - 17
Step-by-step explanation:
Answer:
16x-17
Step-by-step explanation:
_2) Solve for r: 3r + 2-r=-4
A. 3
B.-3
C. 4
D.-4
Answer:
B. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3r + 2 - r = -4
Step 2: Solve for r
Combine like terms: 2r + 2 = -4Subtract 2 on both sides: 2r = -6Divide 2 on both sides: r = -3Explain two different ways to find a new value after an original value is increased by 30%.
Please help me.
Answer:1
Step-by-step explanation:
What is the solution to m/-7 less than or equal to 14? m Greater than or equal to –2 m Greater than or equal to –98 m Less than or equal to –2 m Less than or equal to –98
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Jay has a budget of $100. Jay spent $13 on movie tickets, $38 on dinner with his friend, and $11 on a taxi ride home. How much money does Jay have left in his budget?
Answer:
38
Step-by-step explanation:
100-13-38-11=38
So Jay has 38 dollars on the budget
Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
X1=0
Y1=-3
X2=4
Y2=1
Slope=(y2-y1)/(x2-x1)
Slope=(1-(-3))/(4-0)
Slope=4/4
Slope=1
Step-by-step explanation:
