Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
Ally's tricycle has two different wheel sizes: one larger wheel and two smaller wheels. As Ally travels the distance between her house and her neighbor's house on the tricycle, the larger wheel revolves 10 times and each of the smaller wheels revolve 25 times. If half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels, what is the distance, in inches, traveled by the tricycle between Ally's house and her neighbor's house?
Answer:
500 inches
Step-by-step explanation:
Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)
Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.
So, C₁/2 = C₂ + 5
C₁ = 2(C₂ + 5) (2)
Substituting C₁ into (1), we have
n₁C₁ = n₂C₂.
n₁[2(C₂ + 5)] = n₂C₂.
Since n₁ = 10 and n₂ = 25, we have
10[2(C₂ + 5)] = 25C₂
20(C₂ + 5) = 25C₂
expanding the bracket,
20C₂ + 100 = 25C₂
collecting like terms, we have
25C₂ - 20C₂ = 100
5C₂ = 100
dividing both sides by 5, we have
C₂ = 100/5
= 20 inches
So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)
= 500 inches
The distance travelled by Ally's tricycle is [tex]500inches[/tex]
Let
[tex]d=\text{the distance between Ally's house and her neighbor's house}\\C_b=\text{the circumference of the larger wheel}\\C_s=\text{the circumference of each of the smaller wheels}[/tex]
Then, from the question
[tex]d=10C_b=25C_s\\\\\frac{C_b}{2}=C_s+5[/tex]
Eliminating [tex]C_s[/tex] from the second statement, we get
[tex]\frac{C_b}{2}=5+\frac{2C_b}{5}[/tex]
Solving for [tex]C_b[/tex],
[tex]C_b=50inches[/tex]
To calculate the distance travelled between her house and her neighbor's house,
[tex]d=10C_b\\\implies d=10\times 50inches=500 inches[/tex]
Therefore, the distance travelled between Ally's house and her neighbor's house is [tex]500inches[/tex]
Learn more about circumferences here: https://brainly.com/question/3131741
Keenan bought a phone priced at $500. The total price, including sales tax, 1 point
was $590. What was the sales tax percentage?"
Answer:
Sales tax was 18%
Step-by-step explanation:
590-500= 90
90÷500=0.18
evaluate the expression
(7×18+45)÷3×2
please help
Answer:
28.5
Step-by-step explanation:
(7×18+45)÷3×2
7x8 = 126
3x2 =6
(126+45) / 6
126+45= 171
171 /6
171/6 = 28.5
A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000?
Michael baked 60 oatmeal cookies and 45 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatestnumber of cookies possible, how many plastic containers does she need?
(I really need help)
Answer:
3
Step-by-step explanation:
Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.
2 is not possible as 45 is an odd number
3 can divide both 60 and 45
60/3 = 20 oatmeal cookies in each container.
45/3 = 15 chocolate chip cookies in each container.
Five out of eight birds that visited the feeder ate the birdseed. If 60 birds ate the birdseed today, how many birds visited the feeder?
Answer:
Therefore, the birds visited the feeder = 96
Step-by-step explanation:
Five out of eight birds that visited the feeder ate the birdseed.
i.e. the ration is: 5/8
Given that 60 birds ate the birdseed today.
Note that if we multiply '5' by '12', we get the number 60.
Now, all we need to is to also multiply '8' by '12' to maintain the initial ratio which is 5/8.
i.e. (5×12) / (8×12) = 60/96
Therefore, the birds visited the feeder = 96
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
Answer:
The correct option is:
[tex]\left\{\left(-5,\:4\right),\:\left(-2,\:-1\right),\:\left(-1,\:3\right),\:\left(4,\:-3\right)\right\}[/tex]
Step-by-step explanation:
There are 4 points that have been scattered on the coordinate plane.
It is clear from the coordinate plane, that those points are located as explained below.
at x=-5, y=4
so the point (-5, 4) is on the coordinate plane.at x=-2, y=-1
so the point (-2, -1) is on the coordinate plane.at x=-1, y=3
so the point (-1, 3) is on the coordinate plane.at x=4, y=-3
so the point (4, -3) is on the coordinate plane.Therefore, the correct option is:
[tex]\left\{\left(-5,\:4\right),\:\left(-2,\:-1\right),\:\left(-1,\:3\right),\:\left(4,\:-3\right)\right\}[/tex]
Tom has $60 dollars. He spends $7 for lunch each day. Which equation
shows how much money c he has left after d days?
D. None of these
A. c = 60 + 7d
B. = 60 - 7d
C. = 60 - 75
B seems like the corrects answer because wen dont know how many days and he has 60 dollars
Answer:
B
Step-by-step explanation:
7d is how much money he spends on lunch in all
then you need to subtract from 60 because that is the total amount of money he has
Line t has a slope of -9/2 line u is parallel to t what is the slope of u
Answer:
the slope of the parallel line would also be -9/2
Step-by-step explanation:
This is for middle school 9th grade please help me :)
Answer:
i think it's undefined
Step-by-step explanation:
Simplify 36*3.
O A. 35
B. 36
O C. 37
O D. 96
HELP ME
Answer:
12/1
Step-by-step explanation:
hope this helped if not sorry
Dawn is buying a pair of pants that cost $34.98. Tax is 8.2%. What is the total cost of the pants with tax included?
Answer:
$37.85
Step-by-step explanation:
the answer is 37 dollars and 85 cents
please help i’ll give brainliest please tysm :))
Answer:
Grape juice has 180 containers.
Step-by-step explanation:
Given that the ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices.
i.e.
Orange Juice containers : Grape Juice containers = 5 : 4
Total containers = 405
It means if we divide 405 by 9, we get the 9 equal parts of 45.
i.e. 405 / 9 = 45
as
Orange Juice containers : Grape Juice containers = 5 : 4
It means the share of Grape Juice containers is 4 parts out of 9 parts.
Thus, multiply 45 by 4 to determine the number of containers grape juice have:
45 × 4 = 180 containers
Therefore, grape juice has 180 containers.
help please ><
fill in the blank
In a graph, the initial value of a functions is the _____.
Answer:
Initial value of a graph is always the variable a.
Step-by-step explanation:
If you have any questions about that, let me know :)
Answer:
The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
x = 142
x = 232
x = 322
no solution
Answer:
x = 142
Step-by-step explanation:
The problem;
[tex]\sqrt{x+2} - 15 = -3[/tex]
Inverse operations;
[tex]\sqrt{x+2} -15 = -3\\ +15 +15\\\\\\\\\sqrt{x+2} = 12\\\\[/tex]
Now undo the square, by squaring both sides;
[tex]\sqrt{x+2} = 12\\.^{2} \\\\\\ \\x+2 = 144[/tex]
Inverse oeprations;
x + 2 = 144
-2 -2
x = 142
Answer:
x = 142
Step-by-step explanation:
(:
It costs £8 to go on a bowling trip.
A year group of 78 students go on
the trip.
How much do they pay in total?
Answer:
£624
Step-by-step explanation:
£ (78 * 8)
= £624
Hope this helped!
HELPPPP PLEASE MATH FUNCTION
Answer:
a. f(x)=-x+1
Step-by-step explanation:
Solve
110.10+4x=150.104
Answer:
x=10.001
Step-by-step explanation:
One brand of cookies is sold in three different box sizes small medium and large the small box has half the volume of the Box the volume of the medium box the volume of the medium boxes X if someone buys one of each size which expression shows the combined volume of the three boxes?
Answer:
3.5x
Step-by-step explanation:
the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size
Plz show how u got the answer
The perimeter of a triangle is 173 - 5 units. One side is 3x + 5
units and another is 82 – 3 units. How many units long is the third side?
A.6x-7
B.6x-13
C.12x-7
D.22x-23
Slope-intercept form: write an equation from a graph
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = intercept
Help me please! I'll mark brainliest
Answer:
your going to need to show the whole question
Answer:
One solution
Step-by-step explanation:
Saw it in another answer that was right xD
Help
A fair number cube is rolled and then rolled again. Which statement
represents the probability of rolling an odd number and then rolling
another odd number? *
Step-by-step explanation:
Everytime the dice is rolled, there is a 50% chance to get an odd number.
Hence 50% * 50% = 25%.
_____ compare one quantity to 100.
A. Factors
B. Variables
C. Percents
D. Interest rates
Answer:
c
Step-by-step explanation:
What is Slope from two points
What is the slope of the line through (-10, 1) and
(0, –4)?
Answer:
1/2
Step-by-step explanation:
A human bone is made up of 14 water and 920 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?
A.
0.30
B.
3.30
C.
1.43
D.
0.70
There are 425 vegetables at a farmers market stand. Of the vegetables, 125 of them are carrots. What is the ratio of the number of carrots to the number of other vegetables at the stand?
Answer:
the ratio of the number of carrots to the number of other vegetables is 25 : 12
Step-by-step explanation:
The computation is shown below:
Given that
Total vegetables = 425
Out of which 125 vegetables represent carrot
the other vegatables should be
= 425 - 125
= 300
Now the ratio of the number of carrots to the number of other vegetables is
= 125 : 300
= 25 : 12
Hence, the ratio of the number of carrots to the number of other vegetables is 25 : 12
The wait times on a computer help line average 4.2 minutes. The standard deviation is 1.3 minutes. Sketch the normal curve showing the wait times at one, two, and three standard deviations from the mean.
Answer:
L
Step-by-step explanation:
1
2
3
4
5
6
7
8
8
0
1
Seven less than three times a number is two.
Answer:
let x be the number
seven less than three times a number ==> 3x - 7
Step-by-step explanation:
Item 7 Question 1 Select the equation that represents the question. What percent of 300 is 51? 300=51×p 51=p×300 300=p×51 p=300×51 Question 2 Solve the equation. P= %
Answer:
51 = p×300
p = 17%
Step-by-step explanation:
Let p be the value of the percentage.
To find the percentage;
51/300 = p
51 = p * 300
Therefore, p = 0.17
Percentage represents a 100;
P = 0.17 * 100
P = 17%