Answer:
The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.
Step-by-step explanation:
Let the price of the brush be b.
Let the price of the sketchbook be s.
Let the price of the paint set be p.
The brush was 1/4 as much as the sketchbook. This means that:
b = 1/4 * s = s/4_______________(1)
The sketchbook was 2/3 the cost of the paint set. This means that:
s = 2/3 * p
=> p = 3s/2 __________________(2)
Initially, he had $32.00 and after buying all the items, he had $4.50 left with him. This means that:
b + s + p + 4.50 = 32.00 ___________(3)
Put (1) and (2) in (3):
=> s/4 + s + 3s/2 + 4.50 = 32.00
Collect like terms and simplify:
11s/4 = 32.00 - 4.50 = 27.5
=> s = (27.5 * 4) / 11
s = $10
Put this back in (1) and (2):
b = 10 / 4 = $2.5
and
p = (3 * 10) / 2 = $15
The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.
Answer:
I want to delete my answer because the one already answered is correct.
Rohit takes4 4/5minutes to make a complete round of a circular park.How much time hi will take to make 15rounds
Answer:
Rohit takes 4 4/5 minutes ( =4.8 minutes) to make a complete round of a circular park. For finishing 15 rounds, he needs time T:
T = 15 x 4.8 = 72 minutes
Hope this helps!
:)
A photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What are the new dimensions after it has been reduced 75%?
Answer:
9 inches by 12 inches
Step-by-step explanation:
(12)(0.75)=9
(16)(0.75)=12
One coastal cholla cactus can house the nest of the cactus wren containing two adults and up to five young. Six cholla cacti are counted in a study area. What is the maximum number of wrens that could nest in the area?
Answer:
The maximum number of wren that could nest in the area based on the number of cholla cacti is:
42 wrens.Step-by-step explanation:
The information provided by the text mentions that each cholla cactus can house a nest in which two adults and a maximum of five young will live (seven in total per nest), so this information can be represented as follows:
Maximum number of wrens = number of cholla cactus * 7Since six cholla cacti are counted in the area, this value is replaced in the created equation:
Maximum number of wrens = 6 * 7 Maximum number of wrens = 42The area could house a maximum of 42 wrens, where 12 would be adults and 30 would be young at most.
Have trouble with math plz help
Answer:
B. 51
Step-by-step explanation:
Highest number=54
Lowest number=3
Range=Highest-lowest
54-3= 51
Please mark as brainlist and vote my answer.
Answer:
B. 51
Step-by-step explanation:
You have to order the numbers by least to greatest then the biggest number is subtracted by the smallest number
54-3=51
Hope this helps! :)
A handicap ramp that is 25 feet long coves a ground distance of 22 feet. To the nearest degree, what is the angle of elevation of incline for the handicap ramp?
Answer:
28.36°
Step-by-step explanation:
The problem represents a right angled triangle as shown in the diagram below.
The length of the handicap ramp is 25 feet.
The side ground distance covered by the ramp is the adjacent of the angle of the triangle and it is 22 feet.
To find the angle of elevation of the incline, we apply SOHCAHTOA:
cos θ = adj / hyp
Therefore:
[tex]cos \alpha = 22 / 25\\\\cos \alpha = 0.88\\\\\alpha = cos^{-1} 0.88\\\\\alpha = 28.36^o[/tex]
The angle of elevation of the incline for the handicap ramp is 28.36°.
Which equation represents the line that passes through
the points (-7, 1) and (5, -5)?
Answer:
Answer; y= -x/2 -5/2 OR
2y= -x-5 or
2y +x +5 =0
Step-by-step explanation:
To solve this question, you first find the gradient. For this question the gradient is -1/2. After that, you take one of the points and fix it into this equation: y -y^1 = m(x -x^1).
m =gradient or slope of the line.
The Cruz family is buying a custom-made cover for their swimming pool, shown below. The cover costs $1.95 per square foot and Mr. And Mrs. Cruz are trying to estimate the area and determine how much the cover will cost their family. Take a stand and decide if you agree with Mr. Cruz or Mrs. Cruz being sure to defend your answer!
Answer: 7.8
Step-by-step explanation:
Solve
17/20 = X/100
solve for x.
Answer:
x=85
Step-by-step explanation: You need to cross multiply
Hector puts a principal of $5,600 in a savings account with a simple interest rate of 8%. After several years, he withdraws the balance of $11,424. How many years did he leave his investment in this particular savings account?
Simple interest: I = P · r · t
11 years
12 years
13 years
14 years
Answer:
c.) 13 years
Step-by-step explanation:
5,600*.08*13=5,824
5,824+5,600=11,424
Find the product:
3 1/2×10 2/9
Step-by-step explanation:
3 1/2 = 3.5
10 2/9 = 10.22
So
3.5 x 10.22 = 35.77
Answer:
322/10
Step-by-step explanation:
HURRY PLS The stem-and-leaf plot below shows the amount of tips received by the servers in a restaurant in one night. A stem and leaf plot is shown. The stems from top to bottom are 0, 1, 2, 3, 5. The first column of leaves is 9, 2, 3, 1, 9. The second column of leaves is blank, 4, 6, 2, blank. The third column of leaves is blank 7, 6, 2, blank. The fourth column of leaves is blank, blank, 8, 4, blank. The fifth column of leaves is blank, blank, blank, 5, blank. Why is the plot misleading? The plot shows that the data is skewed. There is not an equal number of data points for each stem. The plot shows duplicate data points. The stem does not clearly show the outlier.
The true statement about the stem and leaf plot is (d) The stem does not clearly show the outlier.
How to determine why is the plot misleading?The stem and leaf plot is given as:
0 | 9, 2, 3, 1, 9.
1 | 4, 6, 2
2 | 7, 6, 2
3 | 8, 4
5 | 5
Notice that the stem 4 is missing
The proper stem and leaf plot is given as:
0 | 1, 2, 3, 9
1 | 2, 4, 6
2 | 2, 6 7
3 | 4, 8
5 | 5
When the leaves are not arranged, then the stem plot would not show outliers
Hence, the true statement about the stem and leaf plot is (d) The stem does not clearly show the outlier.
Read more about stem and leaf plots at:
https://brainly.com/question/12276901
Answer:D
Step-by-step explanation:
Bryan has $60 in a savings account that earns 5% interest per year. The interest is not
compounded. How much will he have in 1 year?
Answer:
$63
Step-by-step explanation:
Take 60 (the money amount in his savings account) and multiply by .05 percent which is 5 percent. This is 3. So 60 + 3 = $63.
Y=3^x graph and table
Help with this problem please. 3x(x-1)
3x (x - 1) = 3x² - 3x
Answer:
3x² - 3x
Step-by-step explanation:
Assuming you require to simplify the expression
Given
3x(x - 1) ← multiply each term in the parenthesis by 3x
= (3x × x) + (3x × - 1)
= 3x² + (- 3x)
= 3x² - 3x
The Cholula Pyramid in Mexico has a height approximately ퟐퟏퟕfeet and a base approximately ퟏퟒퟕퟔfeet by ퟏퟒퟕퟔfeet. The Cheops Pyramid (part of the Great Pyramids) is taller with an approximate height of ퟒퟖퟎfeet but with a ퟕퟓퟓfeet by ퟕퟓퟓfeet base. Determine which pyramid has the most volume
Answer:
The Cholula Pyramid has a bigger volume out of the two.
Step-by-step explanation:
The volume of a Pyramid is V=1/3Bh
Volume of the Choulula = 1/3 (2,178,576)(217)= 157,583,664
Volume of The Cheops Pyramid = 1/3 (570,025)(480)=91,204,000
157,583,664 is greater than 91,204,000
To determine the pyramid with the most volume using the formula for the volume of a pyramid.
The volume of a pyramid: To determine which pyramid has the most volume, we use the formula for the volume of a pyramid: Volume = (1/3) × base area × height.
Cholula Pyramid: Volume = (1/3) × 1456 × 121 = 7307680 cubic feet
Cheops Pyramid: Volume = (1/3) × [tex](585)^2[/tex] × 464 = 47640550 cubic feet
Therefore, the Cheops Pyramid has the most volume.
PLEASE HELP I DONT UNDERSTAND THIS QUESTION!
Answer:
I think its D, hope its right
Jennifer has three times as many books as her friend Jeremy. Together they have 60 novels. How many books does Jennifer have? answer ASAP
Answer:
Jennifer has 45 books and Jeremy has 15.
Step-by-step explanation:
15x3=45
45+15=60
what is the slope of y=-5+4x
Answer:
4x aka 4/1 meaning you rise 4 in a graph and run 1 in a positive trend.
Step-by-step explanation:
the slope for slope intercept formulas is the number with the x or the x alone if its 1.
Please help me now plz
I will mark you brainliest
Answer:
155.9 = h
Step-by-step explanation:
Since it is an equilateral triangle, the angles are all 60 degrees
Call the angle on the bottom right theta
Theta = 60 degrees
The angle h makes with the base is 90 degrees so it is a right triangle
sin theta = opp/ hyp
sin 60 = h/ 180
Multiply each side by 180
180 sin 60 = h
155.8845727 = h
To the nearest tenth
155.9 = h
Chuy purchased a used truck for
$11,500. According to an online
vehicle website, his truck will
depreciate, or lose value, at a rate of
5.5% each year. What function, d(x),
represents the value of Chuy's truck
x years after its purchase?
Answer:
d(x) = 11500*0.945^x
Step-by-step explanation:
Chuy's truck loses 5.5% of its value each year. That means each year:
(current worth of truck) = (previous year's worth) - (previous year's worth)*5.5%
The current worth is also equivalent to (previous year's worth)*94.5%.
After one year, the worth is (first year)*94.5%.
After two years, the worth is ((first year)*94.5%)*94.5%.
Note that each year, the original value of the car is multiplied by 94.5% to get the current worth. Recall also that 94.5% = 0.945.
d(x) = 11500*0.945^x, where 11500 is the original price.
Final answer:
The function representing the value of Chuy's truck x years after purchase, given a depreciation rate of 5.5% annually, is [tex]d(x) = 11500(1 - 0.055)^x[/tex]. This formula calculates the truck's decreasing value over time.
Explanation:
The question asks for the function d(x), which represents the value of Chuy's truck x years after its purchase, given it depreciates at a rate of 5.5% annually. The general formula to calculate depreciation using a percentage rate is
[tex]V = P(1 - r)^x[/tex]
where V is the future value of the item, P is the initial purchase price, r is the annual depreciation rate (in decimal form), and x is the number of years.
In this case, Chuy's truck was purchased for $11,500, and it depreciates at a rate of 5.5% per year. Substituting these values into the formula, we get the function for the value of the truck as-
[tex]d(x) = 11500(1 - 0.055)^x[/tex]
This equation allows us to determine the truck's value at any amount of years after the purchase.
The line starts at (2,4) and then chose The best point of the following for it to pass through; (6,1) (10,1) (10,3)
The greater of two numbers is six more than 4 times the smaller. Their sum is 41. Find the number
Answer:
smaller number is 7
larger number is 35
Step-by-step explanation:
Let the smaller number be x
Given that greater number is 6 more than 4 times the smaller number.
If x is value of smaller number then 4 times the smaller number is 4*x= 4x
six more than 4 times the smaller number will be 6+4x.
Thus larger number is 6+4x
Sum of smaller and larger no is 41.
Substituting the value of smaller and larger number in sum we have
x+6+4x = 41
=> 5x+6 = 41
=> 5x = 41-6
=> 5x= 35
=>x = 35/5 = 7
Thus smaller number is x = 7
larger number = 4x+6 = 4*7+6 = 35
To find the two numbers, we can set up two equations and solve them using substitution and simplification. The smaller number is 7, and the larger number is 34.
Explanation:To solve this problem, we can set up two equations.
Let's call the smaller number 'x' and the greater number 'y'.
From the given information, we know that:
y = 4x + 6 (Equation 1)
x + y = 41 (Equation 2)
Now, we can substitute Equation 1 into Equation 2 to solve for 'x':
x + (4x + 6) = 41
Combining like terms, we have:
5x + 6 = 41
Next, subtracting 6 from both sides gives:
5x = 35
Finally, dividing both sides by 5 gives:
x = 7
So, the smaller number is 7.
Plugging this value back into Equation 1:
y = 4(7) + 6 = 34
Thus, the larger number is 34.
Learn more about Solving Equations here:https://brainly.com/question/18322830
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Find the surface area of the composite solid.
Answer:
281 ft²
Step-by-step explanation:
Cuboid + lateral surface area of the pyramid - square base
2[(4×12)+(4×5)+(12×5)] + 4[½×5×(12-7)] - 5²
2(48+20+60) + 4(12.5) - 25
2(128) + 50 - 25
256 + 25
281 ft²
Answer:
[tex]281 {ft}^{2} [/tex]
Priya buys fruit from a market.
She buys 5 oranges, 3 apples, 2 bananas, and some pears.
If she spent £3.79, how many pears did she buy?
Oranges 40p each
Apples 35p each
Bananas 12p each
Pears 25p each
Answer:
Priya bought 2 pears
Step-by-step explanation:
5 Oranges = £2.00
3 Apples = £1.05
2 Bananas = 24p
£2.00 + £1.05 + 24p = £3.29
£3.29 + 25p = £3.54
£3.54 + 25p = £3.79
Answer:
2 pears
Step-by-step explanation:
40×5=2
35×3=1.05
12×2=24
Total sum=2+1.05+24=3.29
3.29-3.29=50
50÷25=2
ans:2 pears
1. Kenneth bought 315 packages of cookies. Each package had 64 cookies. How many cookies
did Kenneth buy?
Answer:
20160
Step-by-step explanation:
315*64 = 20160
To find the total number of cookies Kenneth bought, you multiply the number of packages (315) by the number of cookies in each package (64). This results to 20160 cookies.
Explanation:This question involves a simple multiplication operation. When Kenneth buys 315 packages of cookies and each package contains 64 cookies, to find the total number of cookies Kenneth bought, you need to multiply the number of packages by the number of cookies in each package. So, we have 315 (packages) x 64 (cookies per package).
The equation is: 315 x 64 = 20160.
Therefore, Kenneth bought a total of 20160 cookies.
Learn more about Multiplication here:https://brainly.com/question/35502092
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Raven is making pillows. She needs 1/5 yard of fabric for each pillow. If she has 6 yards of fabric, how many pillows can she make
Answer:
30
Step-by-step explanation:
6 ÷ 1/5 = 6×5 =30
Answer:
30 Pillows
Step-by-step explanation:
If she already has 6 yards of fabric and each pillow needs 1/5 of a yard of each fabric. You just divide.
A baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is y=0.32x-20.51,where x is the number of times a bat and y is the number of hits.
How many hits should he expect from a player who is at bat 175 times?
We have been given that a baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is [tex]y=0.32x-20.51[/tex],where x is the number of times at bat and y is the number of hits.
To find the number of hits in 175 times at bats, we will substitute [tex]x=175[/tex] in our given equation as:
[tex]y=0.32(175)-20.51[/tex]
[tex]y=56-20.51[/tex]
[tex]y=35.49[/tex]
Upon rounding to nearest whole number, we will get:
[tex]y\approx 35[/tex]
Therefore, the coach would expect 35 hits from a player who is at bat 175 times.
The expected number of hits = 35.
The given line of best fit is [tex]y=0.32x-20.51.[/tex]
Given that:
x = the number of times a bat = 175.
We have to find y = ?
We plug x = 175 in the given equation.
[tex]y=0.32x-20.51\\y=0.32(175)-20.51\\y=35.49[/tex]
The integer before 35.49 is 35. [Because, number of hits can not be fraction.]
So the expected number of hits = 35.
Learn more: https://brainly.com/question/1214333
If a principal of $1110 is invested at an annual interest rate of 6% compounded annually, whats the account balance at the end of 8 years?
A. $1669
B. $1769
C. $9413
D. $1643
Answer:
A.) $1669
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Using the data from the table, what is P(3)?
Answer:
0.2
Step-by-step explanation:
Answer: 0.2
Second : 2.0
Step-by-step explanation:
Which one Doesn't Belong?
3x - 4
4 less than three times
a number
I bought three boxes of cupcakes that contained some treats and
ate four of them.