Answers
Problem 1
You have the correct y value, but it refers to pizzas (not salads).If you need to convert to a mixed number, then follow these steps.
27.2 = 27 + 0.2
27.2 = 27 + 1/5
27.2 = 27 & 1/5
27.2 pizzas is the same as 27 & 1/5 pizzas. In other words, you have 27 whole pizzas plus 1/5 of an extra one.
===========================================
Problem 2
This is correct.The decimal 1.75 converts to the mixed number 1 & 3/4 because of the steps below.
1.75 = 1 + 0.75
1.75 = 1 + 3/4
1.75 = 1 & 3/4
In my opinion, it is optional to convert to a mixed number for either problem 1 or problem 2. So you can stick with 1.75 as the answer if you want.
===========================================
Problem 3
16 & 3/4 = 16 + 3/4 = 16 + 0.75 = 16.75
To get the unit rate, which is the cost per unit, we divide the total cost over the amount.
cost/amount = (2.89)/(16.75) = 0.1725373
which is approximate.
Round to the nearest penny to get a unit cost of $0.17 per fluid ounce, i.e. a unit cost of 17 cents per fluid ounce.
Answer: $0.17 or 17 cents===========================================
Problem 4
We follow the same idea as problem 3.
4 & 3/5 = 4 + 3/5 = 4 + 0.6 = 4.6
unit cost = (total cost)/(amount)
unit cost = (7.56)/(4.6)
unit cost = 1.643478 dollars approximately
unit cost = 1.64 dollars approximately
Answer: $1.64===========================================
Problem 5
6 & 1/2 = 6 + 1/2 = 6 + 0.5 = 6.5
Like before, we'll divide the total cost over the total amount.
unit cost = (total cost)/(amount)
unit cost = (8.22)/(6.5)
unit cost = 1.264615 dollars approximately
unit cost = 1.26 dollars approximately
Answer: $1.26===========================================
Here's another way to look at the unit cost or unit rate.
Notice in problem 5 it says "cost per yard". This is the same as "cost per 1 yard" or "cost for each yard".
We can express the given info as the ratio
6.5 yards:$8.22
Now we want the "6.5 yards" to become "1 yard" to achieve the unit rate.
So we'll divide both parts by 6.5
6.5 yards:$8.22
6.5/6.5 yards:$8.22/6.5
1 yard: $1.26 approximately
For each yard, we'll spend $1.26
Problems 3 and 4 follow similar ideas. So this is why we divided the total cost over the total amount.
Related Questions
The difference between 32 and 7 times a number is 2.
Answers
Answer:
x=4.285714286
Step-by-step explanation:
Let the number be x
Now we have,
→ [tex]32-7x=2\\\\[/tex]
→ [tex]32-2=7x\\\\[/tex]
→ [tex]30=7x\\[/tex]
→ [tex]x=\frac{30}{7} \\[/tex]
→ x=4.285714286
53 fl oz = c
A. 6
B. 6 5/8
C. 13 1/4
D. 424
Answers
Answer:
Option B
Step-by-step explanation:
Given the following question:
53 oz = c?
[tex]1c=8oz[/tex]
[tex]53\div8=6.625[/tex]
[tex]6.625=\frac{6625}{1000}\div125=\frac{53}{8}[/tex]
[tex]\frac{53}{8} =53\div8=6\frac{5}{8}[/tex]
[tex]=6\frac{5}{8}[/tex]
Your answer is option B or "6 5/8 cups."
Hope this helps
What is the solution to the inequality 4x>-12
Answers
Answer:
x>-3
Step-by-step explanation:
4x>-12
x>-12/4
x>-3
If a=-3 find the value of
Answers
Answer:
a) -6
b) -9
c) 27
Step-by-step explanation:
Since a=-3, plug in -3 for a and solve.
A farmer's truck is carrying 42/3 tons of hay and straw. If 325 tons of the load is
hay, how much straw is the truck carrying??
Answers
Answer:
1[tex]\frac{4}{15}[/tex] of straw
Step-by-step explanation:
The total amount of straw and hay together is, [tex]4 \frac{2}{3}[/tex].
and the total amount of hay alone is, [tex]3\frac{2}{5}[/tex]
All you need to do is subtract the hay from the total, which gives you, the answer above.
There are 17 female students in a chemistry class. If the class is 54.84% female, how
students are in the chemistry class?
many total students are in the chemistry class?
Answers
Answer:
there are 14 boys and 31 total students in chemistry class.
explanation:
total number of students: 100%
total number of students:
[tex]\frac{17}{54.84} * 100[/tex]31 students total.Boys in the class:
100% - 54.84%45.16%Boys total:
31 * 45.16%14 boy students.There are 14 boys and 31 total students in the chemistry class.
It is given that there are 17 female students which is also equal to 54.84 % of total students in chemistry class.
We have to find the total number of students and number of boys in chemistry class.
What will be the 50 % of 100 ?
The value will be 50.
Let's assume that total number of students be x.
∵ Number of female students ;
⇒ 54.84 % of x = 17
⇒ (54.84/100) × x = 17
⇒ x = 1700 ÷ 54.84
⇒ x = 31 (approximate)
So, the total number of students in chemistry class are 31.
&
Number of boys = 31 - 17 = 14
Thus , there are 14 boys and 31 total students in the chemistry class.
To learn more about percentage click here ;
https://brainly.com/question/24304697
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A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find
the probability that a blue marble will be drawn.
A.1/3
B.1/11
C.1/7
D.3/14
Please select the best answer from the choices provided
Answers
3/14 chance. There are 1 more red marble, and 4 more green marbles. The probability of a blue marble is low, but could still happen.
Find the value of x.
R
(2x + 3)^
25°
Q
S
(3x – 17) 10
(
O
Answers
Answer:
10
Step-by-step explantion
Simplifying
2x + 3 + 25 = 3x + -17
Reorder the terms:
3 + 25 + 2x = 3x + -17
Combine like terms: 3 + 25 = 28
28 + 2x = 3x + -17
Reorder the terms:
28 + 2x = -17 + 3x
Solving
28 + 2x = -17 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
28 + 2x + -3x = -17 + 3x + -3x
Combine like terms: 2x + -3x = -1x
28 + -1x = -17 + 3x + -3x
Combine like terms: 3x + -3x = 0
28 + -1x = -17 + 0
28 + -1x = -17
Add '-28' to each side of the equation.
28 + -28 + -1x = -17 + -28
Combine like terms: 28 + -28 = 0
0 + -1x = -17 + -28
-1x = -17 + -28
Combine like terms: -17 + -28 = -45
-1x = -45
Divide each side by '-1'.
x = 45
Simplifying
x = 45
Answer:
x = 45Step-by-step explanation:
Exterior angle is same as sum of two remote interior angles:
2x + 3 + 25 = 3x - 172x + 28 = 3x - 173x - 2x = 28 + 17x = 45Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0, 2π).
Answers
The solution to the trigonometric equation in the interval is given by:
[tex]x = \frac{\pi}{4}[/tex]
What is the trigonometric equation?In this problem, the equation is given by:
[tex]\frac{1}{\sin{\theta}} = 2\cos{\theta}[/tex]
Applying cross multiplication, we have that:
[tex]2\sin{\theta}\cos{\theta} = 1[/tex]
Applying a trigonometric identity, we have that:
[tex]\sin{2x} = 1[/tex]
We have that on the interval [0, 2π), [tex]\sin{\left(\frac{\pi}{2}\right)} = 1[/tex]
Hence:
[tex]\sin{2x} = 1[/tex]
[tex]\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}[/tex]
[tex]2x = \frac{\pi}{2}[/tex]
[tex]x = \frac{\pi}{4}[/tex]
For [tex]\frac{3\pi}{4}[/tex], we have that:
[tex]\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1[/tex]
Hence only the first solution is correct.
More can be learned about trigonometric equations at https://brainly.com/question/24680641
HELP FAST PLSSSSSSSSSSSSSS
Answers
the answer is just 50° for both
A triangle has angle measurements of 146°, 24°, and 10°. What kind of triangle is it?
plsssssssssssss help
it is either 1. acute
2.obtuse
3.right
Answers
Answer:
I think its obtuse but I'm not sure
Answer:
it's obtuse because one of the angle is obtuse and other two are acute so it's obtuse angles triangle
What is the slope of the line in the graph?
Answers
Answer:
[tex] \frac{ - 2 - 1}{4 - 0} \\ \\ \frac{ - 3}{4} \\ \\ \frac{3}{ - 4} [/tex]
Which measurement is a reasonable length for 3 new pencils laid end-to-end?
A) 3 inches
B) 18 inches
C) 13 feet
D) 8 feet
Answers
What is an equation of the line that passes through the points (-4, -2) and (-8, 3)?
Answers
Answer:
[tex]y = -\frac54x -7[/tex]
Step-by-step explanation:
Slope:
[tex]\frac{3 - (-2)}{-8 - (-4)}[/tex][tex]-\frac{5}{4}[/tex]Y-intercept:
[tex]y = -\frac54x + b\\[/tex][tex]-2 = -\frac54(-4) + b[/tex][tex]-2 = 5 + b[/tex][tex]b=-7[/tex]y = -5/4x -7
-Chetan K
3 - -2/ -8-4 = 5/-12
then sub this value into y=mx+c
y=(5/-12)x + c
then sub in one of the given coordinates
3 = (5/-12)(-8) + c
c= 3/ (5/-12 x -8)
A tank has length 6m, breadth 5m and height 3m.Find the volume of the tank.If it is full of water, Find the volume of water in litres.
Answers
Solution:
Given:
Volume of tank = Length x Breadth x HeightLength = 6mBreadth = 5mHeight = 3mLet's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.
Volume of tank = Length x Breadth x Height=> Volume of tank = 6 x 5 x 3=> Volume of tank = 90 m³Now, let's convert meters into liters.
1 cubic meter = 1000 liters=> 90 m³ = 1000 x 90=> 90 m³ = 90000 litersHoped this helped!
A fishing supply store buys fishing rods for $11 and sells them at a markup of 220% One day, they decide to put the rods on sale and
mark them down by 20%
What is the sale price of a fishing rod?
$35.20
$28.16
$19.36
$7,04
Answers
Answer:28.16
Step-by-step explanation:
A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.
Your'e Welcome (ФДФ) .
Christine, Hong, and Alonzo have a total of $110 in their wallets. Christine has $5 more than Alonzo. Hong has 3 times what Alonzo has, How much does each have? Amount in Christine's wallet: Hong's wallet: Alonzo's wallet:
Answers
Answer:
Hong: 63
Alonzo: 21
Christine: 26
Step-by-step explanation:
110-5=105
105 divided by 5= 21
7 A woman deposited $560 in a bank.
a The bank decided to give all its customers 4.5% interest. Calculate how much she received
in interest.
b The next year she had $720 in the bank and received $27.36 interest. What was the percentage
interest rate?
Answers
Answer:
a. 25.2
Step-by-step explanation:
Step one: 560×4.5=2,520
Step two: 2,520÷100=25.2
Hey Guys, Please help me I decided to lesson the questions
Answers
Answer:
Step-by-step explanation:
im pretty sure its the 1st one
Verify trigonometric identiy
Answers
Answer:
see explanation
Step-by-step explanation:
Using the identity
cos²Θ = 1 - sin²Θ
Consider the left side
sin²Θ - cos²Θ
= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1
= sin²Θ - 1 + sin²Θ
= 2sin²Θ - 1
= right side , thus verified
1
Enter the correct answer in the box
Rewrite this logarithmic equation as an exponential equation
log, 18 = 3
Answers
Answer:
[tex]18=2^x[/tex]
Step-by-step explanation:
[tex]log_2(18)=x\\\\2^{log_2(18)}=2^x\\\\18=2^x[/tex]
NEED HELP ASAP!
Of the rocks in a box, 1/3 are igneous, 60 are
metamorphic, and the remaining 40% are sedimentary.
How many rocks are in the box?
1= 160
2= 180
3= 200
4= 225
Answers
1/3+4/10+60
1/15= 15
15*15= 225
Please please help f(x)7x1/5+6
Answers
Answer:
third answer
Step-by-step explanation:
solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x
-
How many terms are in -7x2 - 14x + 2 ?
Answers
Answer:
3
Step-by-step explanation:
7x² is the first term,
14x is the second term and
2 is the third term.
Explanation:
-7x2 first term
-14x second
2 third
find the value of b and give reasoning in the image below
Answers
Answer:
b = 104°
Step-by-step explanation:
<DEA = <DAE (given)
Now,
<DEA + 142 = 180° (linear pairs)
<DEA = 180° - 142°
so, <DEA = 38°
Now,
<DEA + <DAE + b = 180° (sum of angles of triangle)
or, 38° + 38° + b = 180° (<DEA = <DAE)
or, b = 180° - 76°
so, b = 104°
What is the difference between-4 and 62
-10
-2
2
10
Answers
Answer:
-10
Step-by-step explanation:
if negative meets a negative its gone come out as a positive
Choose the equation of the line in slope-intercept form.
Parallel to y = 3x - 1 and has the point (-2,-1).
A. y = -1/3x + 2
B. y = -1/3x + 5
C. y = 3x + 5
D. y = 3x + 2
Answers
answer:
y = 3x + 5
steps-explanation:
given sample equation:
y = 3x - 1comparing to the formula of slope intercept form: y = mx + b
[ where m is the slope and b is the y-intercept ]
we can determine here that the slope is 3 and -1 is the y-intercept.
but here we need only the slope.
in parallel, the slope is same: 3
formula:
y - y1 = m(x - x1)using the formula: [ here known that y1 is -1 and x1 is -2 ]
y - -1 = 3(x - -2)y + 1 = 3x + 6y = 3x + 5Can someone help me with these ;)))
Answers
Answer:
1st question answer is 3xy(x-3y+4xy)
2nd question answer is (2+y) (x+3)
hope it helps
Sedi LUPICS
Learning
Diagnostic
Analytics
A factory makes 7,000 breath mints per day. How many breath mints will the factory make in
3 days?
breath mints
Submit
I don't know this
Answers
Answer:
233.3
Step-by-step explanation:
7000 divided by 3 = 233.3
Translate and solve: 3884.4 is what percent of 46.8?
Answers
Answer:
3884.4 is what percent of 46.8 is 8300