Answer:
Step-by-step explanation:
Choice D is the only one that is applicable.
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
5q + 3(8 – q) = 36
5q + 3(8 – q) = 8
q + (8 – q) = 8
q + 5 = 5q
Answer:
I think 5q+3(8-q) =36 is the answer for this question
Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.
What is the amount of cherry juice used?Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:
q + r = 8
5q + 3r = 36
The first equation can be rewritten as:
q + r = 8
r = 8 - q
Using substitution into the second formula we get:
5q + 3r = 36
5q + 3(8 - q) = 36
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in an exam,154 out of 175 passed.what percentage failed.
The percentage of failed students is 12%
We have,
Total number of students = 175
Number of students passed = 154
We need to calculate the percentage of the number of failed students.
How do we calculate the percentage?The formula used to calculate the percentage is:
[tex]\frac{ required~value}{total~value} \times 100[/tex]
Here,
Total value:
= Total number of students
= 175
Required value:
= Number of students failed
= Total number of students - Number of students passed
= 175 - 154
= 21
Percentage of failed students:
= [tex]\frac{21}{175} \times 100\\[/tex]
= ( 21 x 100 ) / 175
= 2100 / 175
= 12 %
The percentage of failed students is 12%.
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5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. "HT
H
b. 2T
15 cm
c.
ΖΗ
W
8 cm
T
[tex] \\ \sf \longmapsto \: HT=√15^2+8^2[/tex]
[tex] \\ \sf \longmapsto \: HT=√225+64[/tex]
[tex] \\ \sf \longmapsto \: HT=√289[/tex]
[tex] \\ \sf \longmapsto \: HT=17cm[/tex]
Solution:-2Angle T=15x
Let others be 8x and 17x
[tex] \\ \sf \longmapsto \: 8x+17x+15x=180[/tex]
[tex] \\ \sf \longmapsto \: 40x=180[/tex]
[tex] \\ \sf \longmapsto \: x=\dfrac{180}{40}[/tex]
[tex] \\ \sf \longmapsto \: x=4.5[/tex]
[tex] \\ \sf \longmapsto \: 15x=15(4.5)[/tex]
[tex] \\ \sf \longmapsto \: \angle T=67.5°[/tex]
Solution:-3[tex] \\ \sf \longmapsto \: \angle H=8x[/tex]
[tex] \\ \sf \longmapsto \: \angle H=32.5°[/tex]
7. La somme de deux multiples de 3 consécutifs est de 129. Quels sont ces deux nombres?
Answer:
Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.
Step-by-step explanation:
The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.
-80% + 50/54 (fraction) - 0.25
Answer:
-67/540
Step-by-step explanation:
I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.
Need help !!!!!!!!!!!!!
Answer:
tan0= UR/RX
tan6°=8/RX
⇒RX=8/tan6
⇒ RX=8/0.1051
⇒RX≈76.11
---------------------
Hope it helps...
tan0= UR/RX
tan6°=8/RX
RX=8/tan6RX=8/0.1051RX≈76.11Hope it is helpful to you ☺️
WE AIN'T LEARN THIS IN CLASS I'M GONNA CRY
Answer:
3x-6 Its is B
Step-by-step explanation:
We know that x is an even number. we have 2 even numbers which are consecutive. For example. If x was 6. the 2 before numbers would be 4 and 2. So the formula is x+(x-2)+(x-4). (-4)+(-2)=-6. In total there are 3x. So the answer would be 3x-6. Hope this helped ^^.
In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answer:
1:10:3
Step-by-step explanation:
The tiles on the left contain functions witten ing function nation, Match each function with its input
103) = 7
Answer:
g(f)=2f ⇒ The input is f
h(g)=-4+g ⇒The input is g
f(h)=h-7 ⇒ The input is h
OAmalOHopeO
Evaluate the following expression using the values given: (1 point)
Find 3x − y − 3z if x = −2, y = 1, and z = −2.
Simplify the expression 5(x-3)(x^2+4x+1)
Simplify the expression 5(x-3)(x^2+4x+1)
it would be I think answer number 3
Cassie paid 55% of the bill. The remaining $18 was covered by her friend. What was the total bill
what multiplies to get 56 and adds to get 15
Answer:
8 & 7
Step-by-step explanation:
x*y = 56
x+y = 15
y = 15-x
x(15-x)=56
15x-x^2 = 56
x^2 -15x + 56 = 0
Factored Form: y= (x-8)(x-7)
What is the midpoint of (-5,2) and (2,-7)
Answer:
[tex]\displaystyle (\frac{-3}{2},\frac{-5}{2})[/tex]
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-5, 2)
Point (2, -7)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{-5 + 2}{2},\frac{2 + -7}{2})[/tex]Simplify: [tex]\displaystyle (\frac{-3}{2},\frac{-5}{2})[/tex]What’s 4 divided by $5.32
Answer:
0.752
Step-by-step explanation:
Connor wants to represent 25 divided by the difference of 12 and seven he writes the expression of ( 25÷12) -7 is Connor expression correct explain
Step-by-step explanation:
Step 1: Check to see if Connor is right
25 divided by the difference of 12 and seven
25 / (12 - 7)
Since we have a 12 and seven, that means that we have them together. However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7. Therefore, Connor is incorrect.
Answer:
No he's not correct.
Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5 after doing that we divide 5 by 25 so it would look like this 25÷5=5.
So the correct equation is (12-5) ÷25
Hope this helps!
A sphere has a radius of 8cm.Find its volume
Answer:
[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4 \pi}{3}(8 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4 \pi}{3}(512 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]Answer:
sphere
Step-by-step explanation:
volume of a sphere = 4/3πr³
= 4/3*22/7 * 8³
= 2145.5
In a class of 40 students, 30 % likes Mathematics but not English, 45 % likes English but not Mathematics and 10 % students like other subjects
Step-by-step explanation:
what's the questions??
Pls help pls help pls help pls help
Answer:
Step-by-step explanation:
first option duhh
A box contains eight cards labeled P, Q, R, S, T, U, V, and W. One card will be randomly chosen.
What is the probability of choosing a letter from Q to W?
Write your answer as a fraction in simplest form.
Answer:
7/8
Step-by-step explanation:
Probability= (Cards having letter Q to W)/(All cards) = 7/8
Find x.
a. 30.9
b. 34.4
c. 17.1
d. 15.4
Answer:
x = 17.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 42 = x/23
23 cos 42 = x
17.09233 =x
Rounding to 1 decimal place
x =17.1
What type of line is PQ?
A. side bisector
B. altitude
C. median
D. angle bisector
Answer:
D
Step-by-step explanation:
Since ∠ RPQ = ∠ SPQ = 60° , then
PQ bisects ∠ RPS and is an angle bisector
PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.
What is angle bisector?
Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.
It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.
[tex]$m \angle R P Q=m \angle QP S=60^{\circ}$[/tex]
Now, [tex]&m \angle R P S=m \angle R P Q+m \angle Q P S \\[/tex]
[tex]&m \angle R P S=60^{\circ}+60^{\circ} \\[/tex]
[tex]&m \angle R P S=120^{\circ}[/tex]
Therefore, the measure of angle RPS is [tex]$60^{\circ}$[/tex].
Therefore, the correct answer is option D. angle bisector.
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find the least square number which is exactly divisible by 8,12,15&20
Answer:
first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20
2*2*2*5*3=120
Then
as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30
so,
least perfect square number which is divisible by each of numbers 8 12 15 and 20
=120*30=3600
Step-by-step explanation:
Hello can we be friends.....
The cost to rent a bike at the beach is $6.75 an hour plus an insurance fee of $15. Marcia spent $48.75 when renting a bike on a recent trip to the beach. For how many hours did Marcia rent the bike?
Answer:
5 hours
Step-by-step explanation:
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5
Answer:
it's D
Step-by-step explanation:
The inequality that represents Dan's purchase is 0.85x + 1.29y < 5.
The correct option is D.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
The cost of x pounds of potatoes at $0.85 per pound is 0.85x dollars.
The cost of y pounds of grapes at $1.29 per pound is 1.29y dollars.
The total cost of the purchase is the sum of these costs, which is:
0.85x + 1.29y
The inequality that represents the total cost being less than $5 is:
0.85x + 1.29y < 5
So, the correct answer is 0.85x + 1.29y < 5.
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Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42
Answer:
D
Step-by-step explana
[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]
[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]
Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]
Help pls
1) 4 1/5 of 8 2/10 is what number ?
2) At the end of the day, only 3/5 of the loaves were sold. If 900 loaves were not sold, how many loaves were there in all?
(A)1500 (B)540 (C)360 (D)2250
Answer:
below
Step-by-step explanation:
therefore 2250 loaves where'nt sold
Answer:
1) The answer is 34.44 OR 34 and 11/25
Step by step:
21/5 * 82/10
1722/50
=34 11/25
=34.44
Answer:
2) The answer is 2250
900 is 2/5 find 5/5
900/2 = 450
450*3 = 1350
1350+900 = 2250
Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surrounded by a fence. So
that his cattle will not ruin the grass, Bryan decides to split the field into two halves and rotate his cattle on the land every 30 days. He plans to build a
fence diagonally across the field. How many feet of fencing will Bryan need to split the parcel of land in half? Round your answer to the nearest yard.
Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
very easy.
this simply means what is the value of x, so that the result of the function is 7.
remember, the domain is the interval of valid values for x.
and the range is the interval of valid values of y (or functional results).
so,
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
so, for x = 6 the function delivers 7 as result.
if a line crosses the negative y-axis and the negative x-axis, then its slope is
Answer:
that description would produce a negative slope..
see image
Step-by-step explanation: