Answer:
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Step-by-step explanation:
Given that:
Snack bags come in packages of 12.
Juice bags come in packages of 10.
To find:
Fewest number of packages of each product so that there are same number of snack bags and juice boxes.
Solution:
Number of snack bags when 1 package is bought = 12
Number of snack bags when 2 package is bought = 24
Number of snack bags when 3 package is bought = 36
Number of snack bags when 4 package is bought = 48
Number of snack bags when 5 package is bought = 60
Number of snack bags when 6 package is bought = 72
Number of juice bags when 1 package is bought = 10
Number of juice bags when 2 package is bought = 20
Number of juice bags when 3 package is bought = 30
Number of juice bags when 4 package is bought = 40
Number of juice bags when 5 package is bought = 50
Number of juice bags when 6 package is bought = 60
Number of juice bags when 7 package is bought = 70
We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.
This can be found by finding the LCM as well.
LCM of 10 and 12 is 60.
It means we need to buy 60 bags of each item.
And we can easily find the number of packages for each.
Number of packages of snack bags to be bought = [tex]\frac{60}{12} =5[/tex]
Number of packages of juice bags to be bought = [tex]\frac{60}{10} = 6[/tex]
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
Using 3.14 for pi which choice is the volume of the ball of yarn nearest hundred
87.85 cubic feet
150.72 cubic feet
834.68 square feet
904.32 cubic feet
Answer:
904.32 cubic ft
Step-by-step explanation:
To find the volume of a sphere, the formula is [tex]4\pi\frac{r^3}{3}[/tex]
First, 3.14 * 4 for 12.56.
The radius is 6, and that cubed is 216.
After that, divide 216 by 3 for 72
Then, 12.56 times 72, which gets you the final answer of 904.32 cubic ft.
(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)
720 + 144 = 864
864 + 36 = 900
900 + 4.32 = 904.32
Your answer is D, I took the test.
*BRAINIEST & 20 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 21
y = 114
Step-by-step explanation:
Here, we are to find the values of x and y
Mathematically;
3x - 15 + 6x + 6 = 180
reason for this is that opposite interior angles are supplementary, they add up to 180
9x-9 = 180
9x = 180 + 9
9x = 189
x = 189/9
x = 21
Also;
3x-15 + y + 18 = 180
Reason for this is that angles on a straight line are supplementary
Recall, x = 21
3(21)-15 + y + 18 = 180
63-15 + y + 18 = 180
y = 180-66
y = 114 degrees
A) Find the values of k for which the equation x 2 − 2(2k + 1)x + (k + 2) = 0 has 2 equal roots.
Answer:
1/4 and -1Step-by-step explanation:
For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.
Discriminant D = b² - 4ac = 0
Given the equation
x^2 − 2(2k + 1)x + (k + 2) = 0
From the equation, a = 1, b = -2(2k+1), c = k+2
a = 1, b = -4k - 2, c = k+2
Substitute into the discriminant formula;
Recall that: b² - 4ac = 0
(-4k - 2)²-4(1)(k+2) = 0
16k²+16k + 4 - 4k - 8 =0
16k²+12k - 4 = 0
16k²+16k - 4k - 4 = 0
16k(k+1)-4(k+1) = 0
16k - 4 = 0 and k+1 = 0
16k = 4 and k = -1
k = 4/16 and k = -1
k = 1/4 and -1
Hence the required value of k is 1/4 and -1
The cost of renting a jet ski for a certain number of hours can be modeled by
y=40x+50.
How much does it cost per hour?
Find the distance between the point A(-4,3) and B(1,6)
Answer:
The distance would be (5,-3)
please help it is due today
Answer:
4 2/5 tons
Step-by-step explanation:
2/5 = 4/10 = .40
4.40 tons > 4.3 tons
Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table. Jane claims that as the week progressed the temperatures increased from below zero to above zero. Which of the following statements provide support for Jane's claim? Select all that apply.
Answer: Monday had the lowest temp below zero, on Monday and Tuesday the temp was below zero.
Step-by-step explanation: I did it
If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible without going over?
Answer:
Approximately $14.20
Step-by-step explanation:
Let the cost of the groceries be represented by c, then;
cost price + VAT = c + (5% of c)
To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.
Let c = $14.20, then;
So that,
c + (5% of c) = 14.20 + (5% of 14.20)
= 14.20 + 0.71
= $14.91
Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.
A department store sells a pair of shoes with an 87% markup. If the original price of the shoes was $103, what is the selling price of the shoes
Answer:
Step-by-step explanation:
103x.87=89.61
103+89.61=192.61
What is the product?
2x(x-4)
O 2x² - 4
O zx²-8
2x?- 4x
2x² – 8x
what is the answer to the question?
Answer:
sss and sas both work
Step-by-step explanation:
Answer:
SSSStep-by-step explanation:
We can see two congruent sides as per marks and one shared side which is congruent to itself
If the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.So the correct option is SSS
a moving company charges $0.40 per pound. a family estimates that their belongings weight 3 tons. about how much would it cost the family to move their belongings?
Answer:
$2,400
Step-by-step explanation:
3 tons equals 6000 pounds
6000*0.40= $2,400
if x= (4/5)^-2 divided by (1/4)^2,find the value of x^-1
can u plz telll the ans
Answer:
[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]
Step-by-step explanation:
The value of x is given:
[tex]\displaystyle x= \frac{(4/5)^{-2}}{(1/4)^2}[/tex]
We need to find:
[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]
Operating:
[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]
Squaring:
[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]
Multiplying:
[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]
It's
7:42 AM
Wednesday, December 9, 2020 for me.
What time & day is it for you?
:D
Please can I have an explanation also, I am terrible at these kinds of questions!
Q- A bag contain red, yellow and blue beads.
The ratio of red beads to yellow beads is 2:3
The ratio of yellow beads to blue beads is 5:4
Work out what fraction of the beads are red.
Answer:
The fraction of the beads that are red is
Step-by-step explanation:
Algebraic Expressions
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
[tex]\displaystyle \frac{r}{r+y+b} \qquad\qquad [1][/tex]
Knowing that:
[tex]\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2][/tex]
[tex]\displaystyle \frac{y}{b}=\frac{5}{4}[/tex]
Multiplying the equations above:
[tex]\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}[/tex]
Simplifying:
[tex]\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3][/tex]
Dividing [1] by r:
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}[/tex]
Substituting from [2] and [3]:
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}[/tex]
Operating:
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}[/tex]
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}[/tex]
[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}[/tex]
The fraction of the beads that are red is [tex]\mathbf{\frac{10}{37}}[/tex]
Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?
Answer:
834*3 + 1058*4 = ___
2,502 + 4,232 = 6,734 feet of wood
Step-by-step explanation:
Answer:
6734 is the answer.
Step-by-step explanation:
834 x 3 = 2502.
1058 x 4 = 4232.
2502 + 4232 = 6734.
David uses ¼ cup of apple juice for every ½ cup of carrot juice to make a fruit drink.
How many cups of apple juice does David use for 2 cup of
carrot juice?
Answer:
1
Step-by-step explanation:
1/4 every 1/2
so 1/2 every 1 cup
so 1 every 2 cups
A pair of designer blue jeans is on sale for $51. This is 75% of the original price. What was the original price of the jeans?
Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.
Answer: See explanation
Step-by-step explanation:
Alyssa starts with $40 and saves $10 each week. This can be written as:
= 40 + 10x
Bill has $24 and saves $12 each week. This can be written as:
= 24 + 12x
where, x = number of weeks
a. Bill will never have more money than Alyssa.
False.
From the 9th week, Bill will have more money than Alyssa. To check goes below.
Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130
Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132
b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.
False.
Bill savings can be represented by:
= 24 + 12x
where, x = number of weeks
c. Alyssa and Bill will have the same amount of money at Week 6.
False.
Alyssa = 40 + 10x
= 40 + 10(6)
= 40 + 60
= $100
Bill = 24 + 12x
= 24 + 12(6)
= 24 + 72
= $96
what is the distance between 2 and -5.3?
Answer:
7.3
Step-by-step explanation:
Two minuses, one minus inside a bracket and one outside, make a plus.
2-(-5.3) = 2+5.3
= 7.3
A woman sold a typewriter for Rs 13718 in the system of compound depriciation at the rate of 5 percent .If she had purchased it 3 years before how much did she pay for it by that time?
Answer:
Rs 16000
Step-by-step explanation:
Given that :
Price at which typewriter was sold = Rs 13718
Compound Depreciation rate = 5%
Time = 3 years
Amount paid for typewriter 3 years ago
Using the relation :
Final amount = Initial amount(1 - r/n)^nt
n = number of compounding times per period
Rate = r = 5% = 0.05
t = time
A = Final amount = 13718
Initial amount = original purchase price (p)
Therefore ;
13718 = p(1 - 0.05)^3
13718 = p(0.95)^3
13718 = p * 0.857375
13718 = 0.857375p
p = 13718 / 0.857375
P = Rs 16000
Amount paid at the time of purchase = 16000
please help, i’ll give brainly
Answer:
hope it helps
Step-by-step explanation:
1: 4
2:2
3:1
4:3
GIVE ME BRAINIEST!!!!!
thanks!
Evaluate the expression shown and write your answer as a fraction in simplest form.
1/8 + 11/6
Calculate the slope through the points (2, 3) and (2,-6) The slope = _
Answer:
m = undef
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 3)
Point (2, -6)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-6-3}{2-2}[/tex]Subtract: [tex]m=\frac{-9}{0}[/tex]Define: m = undefPlease help I might fail!!
please helpppp !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:15
Step-by-step explanation: So we have this triangle but it's not a right triangle right so we can't just Pythagorean theorem our way out. So we have to treat the sizes as ratios. 2:12 is the ratio of the smaller triangle. 12 increases to 78 which means side 2 has to increase as well by the same ratio so 78/12 = 6.5 and 6.5*2=13 so PQ is 13 and to find NQ just add NP and PQ or 2+13 = 15
Hope it helps :)
please help i will give brainlest
Answer:
Option 1 and 3Step-by-step explanation:
Option 1
Use point (0, 11)
y - 11 = 0 ⇒ y = 11 ⇒ correctOption 2
Incorrect for any pointOption 3
Use point (2, -1)
y + 1 = 0 ⇒ y = -1 ⇒ correctOption 4
Use point (3, -7)
y - 7 = 0 ⇒ y = 7 ⇒ incorrecta small pool can hold 42.8 gallons of water it is currently 5/8 full how many gallons are in the pool
Answer:
There are 26.75 gallons in the pool.
Step-by-step explanation:
Divide 42.8 by 8, multiply the quotient by 5.
Answer:
26.75
Step-by-step explanation:
42.8 * 5/8 = 26.75
2(x-3)+3=6x-5 please show the steps
Answer:
1/2Step-by-step explanation:
2(x - 3) + 3 = 6x - 52x - 6 + 3 = 6x - 52x - 3 = 6x - 56x - 2x = -3 + 54x = 2x = 2/4x = 1/2I need help pronto!!!
Answer:
wELL.. Im no expert BUTTTTTTTTT....that would mean that there is no cherry pies (i think)
Step-by-step explanation:
Answer:
Buddy should have given Trudy c +3 apple pies and c cherry pies
Step-by-step explanation:
Trudy orders 3 more apple pies than c cherry pies
which means that Trudy orders:
c cherry pies
and c+3 apple pies
But Buddy gives him c cherry and c-3 apple
