Answer:
Marcus can make 12 packages, with 2 toothbrushes and 3 bars of soap in each package.
Step-by-step explanation:
For all the packages to be identical, they must all contain the same numbers of soaps and the same nuber of toothbrushes.
The ratior of soaps to brushes is 36/24 = 3/2
He could make 24 packages, each with 1 tootbrush and (3/2) bars of soap.
Assuming he is not going to cut soap bars in half, that is no good.
To make the numbers of individual items come out as integers, the smallest number he can multiply them by is the denominator on the (3/2) bar of soap. That would be a 2.
So he can makes packages with toothbrushes = 2 x 1 =2
and soap bars = 3/2 x 2 = 3
He can put 5 items in each package - 3 soap bars and 2 toothbrushes.
That means he makes 12 packages.
The greatest number of packages is 12 with 2 toothbrushes and 3 soap bars in each package.
It is given that the Marcus has 36 bars and 24 toothbrushes and wants to arrange the items so the packages are identical.
It is required to find the greatest number of packages that Marcus can make using all the soap and toothbrushes.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
Marcus has number of bars of soap = 36 and
Number of tooothbrush = 24
The ratio of soap bars to toothbrushes = 36:24 or
= 3:2
It meanse Marcus can make 24 packets with [tex]\frac{3}{2}[/tex] soap bars and toothbrush
Because there are 24 toothbrushes but the number of bars can not be in fraction so multiply by 2 on denominator, we get:
Number of toothbrushes = 2×1 = 2
Number of soap bars = [tex]\frac{3}{2}[/tex] ×2 = 3
Now he can make total 12 packets with 2 toothbrushes and 3 soap bars.
Sum of toothbrushes and soap bars = 24+36 = 40
Number of soap bars and toothbrush in each packet = 2+3 = 5
Number of packages= [tex]\frac{60}{5}[/tex] = 12
Thus, the greatest number of packages is 12 with 2 toothbrushes and 3 soap bars.
Learn more about the fraction here:
brainly.com/question/1301963
Kala will rent a car for a day. The rental company offers two pricing options: Option A and Option B. For each
pricing option, cost (in dollars) depends on miles driven, as shown below.
no 1
Option A
Option 3
Cost
10
(in dollars)
TO
Miles driven
Х
5
?
(a) If Kala drives the rental car 300 miles, which option costs more?
Option A Option B
How much more does it cost than the other option?
so
(b) For what number of miles driven do the two options cost the same?
If Kala drives more than this amount, which option costs more?
Option A Option B
Can you help me with this question?
Answer:
Step-by-step explanation:
1. A + B
2. 9 + u - 10
3. m - 2 / 2
Geoff earns 10% commission on his total sales at work.
Part A: Suppose Geoff’s sales totaled $895 last week. How much did he earn in commission?
A.
$89.50
B.
$984.50
C.
$903.95
D.
$8.95
Activity 2 of 2
Part B: To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoff’s sales total for the week?
A.
$13.50
B.
$1,350.00
C.
$135.00
D.
$13,500.00
Part A
Answer: 89.50 dollars
---------------------------
Work Shown:
10% = 10/100 = 0.10
10% of $895 = 0.10*895 = 89.50
=====================================================
Part B
Answer: $1350
---------------------------
Work Shown:
x = amount of sales for the week
10% of x = 0.10*x = 0.10x
0.10x = amount Geoff earns in commission
He needs $135, so 0.10x = 135
Divide both sides by 0.10 to isolate x
0.10x = 135
0.10x/0.10 = 135/0.10
x = 1350
He must have $1350 in sales for the week
Your town has seen a steady decrease of job opportunities by the amount of 10% every year. If the number of jobs available at the end of last year was estimated at 350,000, then how many jobs will there be by the end of the following year? a. 45,000 c. 35,000 b. 385,000 d. 315,000 Please select the best answer from the choices provided A B C D
Answer:
315000 (D)
Step-by-step explanation:
100%-> 350000
90%->315000
will give brainliest! please helppp
1. Solve for m
A. 150
B. 105
C. 90
D. 75
2. If AD = 3x + 18, AB = 5x + 10, and BC = 12x + 2, what is BC?
A. 19.5
B. 50
C. 30
D. 15.7
3. Which of the following statements is a property of quadrilaterals?
A. Quadrilaterals have 4 corners called vertices.
B. Quadrilaterals have 3 dimensions.
C. Quadrilaterals have 4 curved edges.
D. Quadrilaterals have 4 curved sides.
4. Classify the quadrilateral below.
A. Kite
B. Rectangle
C. Rhombus
D. Trapezoid
Thank you!
Andy works at a grocery store. The manager of the store would like Andy to set up a display of apples. Part of the display will include bags of apples. If there are 39 pounds of apples in the back of the store, how many bags of apples can Andy make for the display?
PLEASE HELP! ASAP PLEASE
Answer:
x = 45
Step-by-step explanation:
x = (360 - 135 * 2) / 2
x = (360 - 270) / 2
x = 90 / 2
x = 45
Solid A is dilated using a scale factor of 2⁄5, resulting in Solid B. Solid B is also dilated using a scale factor of 2⁄5, resulting in Solid C. If the volume of Solid B is 72 km^3, what is the volume of Solid A and Solid C?
Answer:
28.8 and 180
Step-by-step explanation:
you just times B by 2/5 to get C and divide it by 2/5 to get A
C = (72)(2/5) = 28.8 km³
A = (72)/(2/5) = 180 km³
We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.
Andrew wrote a short story book in 7 days. The book has 47 pages. How many pages did he write each day? Show your work.
Answer:
6.71428571 or 6 remainder 5
Step-by-step explanation:
Please help me I need this I need a good grade or my mom spank me.
Answer:
Thats correct.
Step-by-step explanation:
what is 9 1/2 multiplied by 9 /5/2 in the simplest radical form
PLS HELP IM STUCK I HAVE KARATE TO WAAAAAAAAAAAAAAAAAAAA LP WHATS THE BLANK
Answer:
Step-by-step explanation:
6 3/16
in simplified form 99/16 or 6 3/16
PLZ HURRY IT'S URGENT!!!
Identify the zeros of the quadratic function.
x=1 and x= -3
x= -1 and x=3
y= -1 and y= -3
y= -1 and y=3
Answer:
The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Taliyah plans to borrow $4500 from the bank to purchase a used vehicle. If she borrows the money at a rate of 4% simple interest for 2 years, what is the total amount she will have to pay back to the bank
Answer:
$4860
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 4500 × 0.04 × 2 = 360
I = $ 360.00
The simple interest accumulated
on a principal of $ 4,500.00
at a rate of 4% per year
for 2 years is $ 360.00.
Answer:
2250
Step-by-step explanation:
you times 4500 with 2 and get 9000. Then, you take the 9000 and divide it by 4 and get 2250.
According to the 2006 Uniform Crime Report (UCR), the state of Delaware had a population of 853,476 and 5,817 violent crimes. Compute the violent crime rate per 100,000 persons and interpret your result.
Answer:
682
Step-by-step explanation:
Population = 853,476
Number of violent crimes = 5817
We are to get violent crime rate per 100000 persons and interpret the result obtained.
Now if population is 1
Crime = 5817/853476
If population is 100000,
Crime = 5817x100000/853476
= 681.56
= 682
We conclude that the violent crime rate is of 682 crimes per 100000
Which rational number is less than 4/9
Answer:
Step-by-step explanation:
The number 4/9 is a rational number. It is a ratio, or fraction, made up of two integers, 4 and 9. So a rational number less than 4/9 will be any fraction less.
A preschool teacher gave out a total of 65 cookies to her class during snack ... She allowed each of her 25 students to choose either 3 small cookies or 2 large cookies. Assuming all the children in the class choose one of these two options at snack time, how many of the students in her class choose to have 3 small cookies
Answer:
25
Step-by-step explanation:
f(x) = –22 – 7x – 5
Find f(-5)
Answer:
f=7/5x+27/5
Step-by-step explanation:
you just have to divide both sides by -5
Answer:
18
Step-by-step explanation:
-22-7(-5)-5
-22+45-5
-22+40
18
What is the perimeter of the shaded figure?
Ground beef is on sale for $3.05 per pound. Gretel buys 80 ounces of ground beef. How much does she owe the butcher?
Answer:
15.25
convert to ounces- 80 ounces equals 5 pounds
multiply by the unit price-5*3.05
get the answer- 15.25
Answer:
Step-by-step explanation:
(3.05/lb)(80oz)(lb/16oz)=$15.25
if you saved your 76$ monthly allowance for 3 years, how much money would you have?
I literally have no clue how to do this.
Answer:
Step-by-step explanation:
Sine is opposite divided by the hypotenuse.
sin(30) = 9/y
1/2 = 9/y
y = 18
Cosine is adjacent divided by the hypotenuse
cos(30) = x/18
[tex]\frac{\sqrt{3} }{2}=x/18\\x=9\sqrt{3}=15.6[/tex]
simplify 7/32 over 1/16
Answer:
I’m sorry I don’t know the answer
Step-by-step explanation:
Answer:
7/32/1/6
you separate the fractions
7/32÷1/6
change the division sign to multiplication then you take the denominator up and the numerator down.
7/32×6/1
then multiply
42/32
reduce to the lowest term
21/16
A man needed to sell a car. He priced it at $3,500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
A.
$3,150.00
B.
$2,528.75
C.
$2,975.00
D.
$4,025.00
Is a b c or d?
(Please explain)
Find the obtuse, isosceles triangle
Answer:
b
Step-by-step explanation:
obtuse means having an angle greater than 90 and isosceles means that two of the side will be congruent and thats exactly what b is showing
4 wholes and 3/8 - 2 wholes and 1/8. Those are the problems. Help me answer them please.
Answer:
c 2 and 2/8
Step-by-step explanation:
you subtract the wholes first which is 4 - 2 = 2
and then the fractions 3/8 - 1/8 = 2/8
Answer:
C
2 2/8
Step-by-step explanation:
2(x-5) + 3y + 12 - y
Answer:
2(x+y+11)
Step-by-step explanation:
2(x+5)+3y+12−y
Use the distributive property to multiply 2 by x+5.
2x+10+3y+12−y
Add 10 and 12 to get 22.
2x+22+3y−y
Combine 3y and −y to get 2y.
2x+22+2y
Answer:
2x+22 +2y
Step-by-step explanation:
3 < x/2 + 1=? I need help !
Please help ASAP! please and thank you have a great and blessed day!
Answer:
c
Step-by-step explanation:
Answer:
a and c
Step-by-step explanation:
dont know how to explain so uhhhh.