The Smiths spend 6% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $2,580 on entertainment. What was their total budget last year?
Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.
What is 1/3 divided by 9
I need 5 mins!!! pls help!!
60 ÷ 10 × 3 to make it equivalent to 2??
Where should we put the Parentheses?
Answer:
60÷(10x3)
Step-by-step explanation:
After you do the parenthesis it would be 60÷30=2
Answer:
The answer is you put the parentheses in between 10*3
Step-by-step explanation:
Estimate the size of a crowd at an airshow that occupies a rectangular space with dimensions of 500 feet by 750 feet (to the nearest whole number).
Assume that each person occupies 9 square feet.
A) 10,417 people
B) 20,833 people
C) 41,667 people
D) 83,333 people
Answer:
C. 41667 people
Step-by-step explanation:
750 * 500 = 375000 / 9 = 41666.666 = 41667
the answer is c.) 41,667 people
Tim mowed lawns for 2 hours and earned $4.50 per hour. Then he washed windows for 4 hours and earned $3.45 per hour. What was Tim's average earnings per hour for all 6 hours.
Answer:
$3.23 per hour
Step-by-step explanation:
4.5+4.5+3.45+3.45+3.45+3.45=19.35
19.35/6=$3.225 or $3.23 per hour
Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less than twice the width. Find the dimensions of Brian’s house.
Answer:
length 42 cm and width 26 cm
Step-by-step explanation:
Given
Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.
Given that shape of house is rectangular.
formula to calculate perimeter of rectangle can be used which is 2*(L+B)
where L is length of rectangle and B width of rectangle
Let the L and B be length of rectangular side of house
According to question
length of house is 10 feet less than twice the width of house
mathematically it can be represented as
L = 2*B - 10 --->eq. 1
Perimeter of house = 136 feet
using formula of Perimeter of rectangle
136 = 2*(L+B)
substituting the value of length in terms of width from eq. 1 in formula of perimeter
=> 136/2 = 2*B - 10 + B (2*B+ B = 3B)
=> 68 = 3*B - 10
=> 78 = 3*B
B = 78/3 = 26
Therefore B which is width = 26 CM
length = 2*B - 10= 26*2 - 10 = 52-10=42
length of house = 42 cm
Hence dimension of Brian's house is length 42 cm and width 26 cm
Help please !! It’s geometry
Answer:
36
Step-by-step explanation:
Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!
99 POINTS!!! PLEASE HELP ME! I'M FAILING MATH AAAAAAA!!
Answer:
False
Step-by-step explanation:
Thats the only one i know to amswer sorry but it is false
What is the solution to the equation 2 (x-3) ^2 =13 help help ASAP !
Answer:
3+sqrt(13/2)
3-sqrt(13/2)
Step-by-step explanation:
2 (x-3) ^2 =13
Divide each side by 2
2/2 (x-3) ^2 =13/2
(x-3) ^2 =13/2
Take the square root of each side
sqrt((x-3) ^2) =±sqrt(13/2)
x-3 = ±sqrt(13/2)
Add 3 to each side
x-3+3 = 3±sqrt(13/2)
x = 3±sqrt(13/2)
Step-by-step explanation:
x=√3+3,−√1
I tried...
what does 3 +3 equal?
Answer:
6
Step-by-step explanation:
3 + 3 = 6
A circular flower bed is 22 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk is "blank" m to the power of 2
Plz answer will give brainiest
Answer:
Area of blank is 326.56m²
Step-by-step explanation:
For a better and pictorial understanding of this problem please see attached for your reference.
Given data
Let the flower bed be the small circle with diameter d= 22m
Radius of small circle = 22/2=11m
Let the side walk be the big circle with diameter D= 4+4+22=30m
Radius of big circle =30/2 = 15m
We know that the area of circle
A1=πr²
Hence area of flower bed
A1=3.14*11²
A1= 379.94m²
Also area of side Walk
A2= πr²
A2= 3.14*15²
A2= 706.5m²
Area of blank
A3= area of side walk - area of flower bed
A3= A2-A1
A3= 706.5-379.94
A3= 326.56m²
Answer:151
Step-by-step explanation:
It has been announced that 64% of all teenagers say they have a television in their bedroom. These findings came from a simple random sample of 1,000 teens. The standard error estimated from this sample was 1.5%
1. Which of the following is the best estimate of the 85% confidence interval for the proportion of teenagers who say that they have a TV set in their bedroom ?
A. 59.5% to 68.5%. C. 62.5% to 65.5%
B. 61% to 67% D. 64% to 100%
Answer:
D
Step-by-step explanation:
What is the equivalent measure of 78 centiliters in milliliters?
Answer:
780 milliliters
Step-by-step explanation:
Recall,
1 centiliter = 10 milliliters
So, 78 centiliters = 78 * 10 milliliters
= 780 milliliters
Please help.....………………
Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle is 180
A +B +C = 180
90 +4x+ 7x-20 =180
Combine like terms
70+ 11x = 180
Subtract 70 from each side
70-70+11x = 180-70
11x=110
Divide each side by 11
11x/11= 110/11
x = 10
We want to find angle C
C = 7x-20
= 7*10-20
= 70-20
= 50
Answer:
50°
Step-by-step explanation:
7x - 20 + 4x + 90 = 180
11x = 180 - 70
11x = 110
x = 10
ACB: 7(10) - 20 = 50
Abraham just accepted a new job at consulting firm that pays $47,500 during the first year, with an annual increase of 7% per year beginning in the second year. What can Abraham expect to earn in his fifth anniversary with the consulting firm? Round your answer to the nearest dollar
Answer:
64,125 I think
Step-by-step explanation:
7%x 5 years =35%
35% of 47, 500 is 16625
16625 + 47,500=64,125
Answer:
about $66,621
Step-by-step explanation:
Since its an increase in salary, we want 0.07+1 = 1.07 (if he was losing his salary, it instead would be 0.07-1, but that's not the case here)
Then we plug it in as 47,500(1.07)^x
he's expecting what would he get in his fifth year at the firm. So let's set x = 5.
47,500(1.07)^5 = $66,621.20721 or ≈ $66,621 to the nearest dollar.
Note: This is how I'm doing it in High School. So if this is incorrect, I'm sorry.
7. What is the area of this figure?
Answer:
20 m.
Step-by-step explanation:
Formula for rhombus: base x height.
Base: 8
Height: 2.5
2.5 x 8 = 20.
Tip: Usually when finding the area of a rhombus there is another length (in this scenario, 4) to try to fool or trick you. It's the length of the slanted side to the right. A rhombus is a square or rectangle when you take the triangle and piece it into the slanted area, so even though it looks like a complicated parallelogram it really isn't.
Hope this helped ^^
Newton’s Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began, in minutes. This relationship is given by y=ae where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constant related to the cooling object. -The initial temperature of a liquid is When it is removed from the heat, the temperature in the room is . For this object, Use Newton’s Law of Cooling to find the temperature of the liquid after 15 minutes.
Answer:
79 °F
Step-by-step explanation:
Newton’s Law of Cooling:
[tex]y = ae^{-kt} + c[/tex]
Data
The initial temperature of a liquid is 160 °F The temperature in the room (c) is 76 °FThen a = 160 - 76 = 84 °Fk = 0.23t = 15 minutesReplacing into the equation:
[tex]y = 84e^{-0.23 \times 15} + 76[/tex]
y = 79 °F
Answer:
The correct answer is 78.7°F
Step-by-step explanation:
Got it right on Edge 2020
Which equation represents the line
5x - y = 3 in slope-intercept form?
Answer:
y=5x-3
Step-by-step explanation:
You might need:
Calculator
The following dot plot summarizes the distance Roger ran in each of his tennis matches last month. Each dot
represents one game.
Number of kilometers
BI83
Based on this data, what is a reasonable estimate of the probability that Roger runs less than 5 km in his next
tennis match?
Choose the best answer.
Choose 1 answer:
©
22%
Answer: 33%
Step-by-step explanation:
Started at 0 degrees and rose 2 degrees each minute
A farmer sells 9.6 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market (i need it expressed in fraction and decimal form please!! im almost out of time to answer :<) please answer asap!!
Answer:
Decimal form = 2.4 / Fraction form = 1/4
Step-by-step explanation:
We know that the farmer sold 9.6 kilograms of apples and pears where 3/4 of that weight was apples. That means that 1/4 of the 9.6 kilograms were pears. Lets divide 9.6 by 1/4 to get our answer.
9.6 / 1/4 = 2.4
Decimal form = 2.4
Fraction form = 1/4
Tyrone's age is 2 years less than 4 times his younger sister's age. If his younger sister's age is b years, which of the following expressions best shows Tyrone's age?
4b b − 2 2b − 4 4b − 2
Answer:
Four times his sister's age would be 4b. his age is two years less, so we need to subtract 2.
put together, this is 4b - 2.
Answer:
Your answer will be 4b - 2
Step-by-step explanation:
Hope this helps!!
please help me
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.14 for PI
Radius 2
Height 5
Answer:
The answer is 62.83
Step-by-step explanation: Just do 3.14 times 2 squared or 4 they are the same thing in this context then multiply 5 because that's your height.
ΔA'B'C' was constructed using ΔABC and line segment EH.
2 triangles are shown. Line E H is the line of reflection. Line segment B B prime has a midpoint at point D. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G.
For to be the line of reflection between and , which statements must be true? Select three options.
BD = DB'
DF = FG
m∠EFA = 90°
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
ΔABC is not congruent to ΔA'B'C'.
Answer:1,3,4
Step-by-step explanation:
Write three equations whose solution is x=3.5
To write three equations whose solution is x=3.5, you can use different algebraic expressions. Three examples are x + 2 = 5.5, (2x - 5) / 3 = 1.8333, and x^2 - 12x + 42 = 0.
Explanation:To write three equations whose solution is x=3.5, we can use different algebraic expressions to represent the same value. Here are three examples:
x + 2 = 5.5 - In this equation, if we substitute x with 3.5, we get 3.5 + 2 = 5.5, which is true.(2x - 5) / 3 = 1.8333 - If we plug in x=3.5, we get (2(3.5) - 5) / 3 = 1.8333, which is true.x^2 - 12x + 42 = 0 - If we solve this quadratic equation, we find x=3.5 as one of the solutions.Learn more about Equations with a specified solution here:https://brainly.com/question/34695214
#SPJ3
Expand.
If necessary, combine like terms.
(3+4.)(3 - 4x) =
Answer:
-16x^2 +9
Step-by-step explanation:
To start this problem I would rearrange so that the terms with the x's come first. Making it look like this
(4x+3)(-4x+3)
Now you take the 4x and distribute it to the -4x and the 3.
-16x^2+12x This is the first part
Take the 3 and distribute it to the -4x and the 3 as well.
-12x+9
All you do now is combine the twoso you'd have
-16x^2 +12x -12x +9 Notice there are two terms that have a regular x with no exponent. This means you can combine them to simplify further.
-12x+12x=0 So you no longer have to include this term in your answer.
-16x^2+9 Would then be your final answer.
A garden table and a bench cost $988 combined. The garden table costs $88 more than the bench. What is the cost of the bench?
Answer:
the total cost for the bench and the table minus the cost of the garden table which is $988 - 88 =900
10. Mark built a fence around his clubhouse. The perimeter of the fence is 80 feet. The
width of the fence is 15 feet. What is the length of the fence?
Explain your answer.
P = 70 feet
15 feet
? feet
----------------------------------------------------
Answer:
if the clubhouse is 4 sided then the length would be 25 ft
Step-by-step explanation:
15x2=30
80-30=50
50/2=25
What x value solves the equation?
3x – 5 = 1
Answer:
x=2
Step-by-step explanation:
Add 5 to each side.
3x-5+5=1+5
3x=6
Divide each side by 3.
Your answer would be x=2.
Answer:
X=2
Step-by-step explanation:
A bag contains 12 marbles: 5 red, 3 blue and 4 green. If two marbles are pulled from the bag consecutively and no replacement occurs, what is the probability of pulling a blue marble followed by another blue marble?
Answer:
3/12
Step-by-step explanation:
sorry if this is wrong I'm not an expert at math