The cost of the 4 cartons of grape juice and 8 cartons of apple juice will be $32 and the difference is $12.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.
The cost of 4 grapes and 8 apples will be,
Cost = 2g + 3a
Cost = ( 2 x 4 ) + ( 3 x 8 )
Cost = 8 + 24
Cost = $32
The difference in the price Missy and Jared paid is,
Difference = $32 - $ 20
Difference = $12
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Please help me with this question
Answer:
cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)
Step-by-step explanation:
You want cos(x -π/3) written in terms of sine and cosine.
Angle differenceThe formula for the cosine of the difference between two angles is ...
cos(a -b) = cos(a)cos(b) +sin(a)sin(b)
ApplicationWe have a=x, b=π/3, so the desired function is ...
cos(x -π/3) = cos(x)cos(π/3) +sin(x)sin(π/3)
We know that ...
cos(π/3) = 1/2sin(π/3) = √3/2so the rewrite is ...
cos(x -π/3) = (1/2)cos(x) +(√3/2)sin(x)
A 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29. How much can be saved per ounce by guiding the larger box
The amount of money that can be saved per ounce by guiding the larger box is $0.009.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.
For the larger box -
38 ounce box of cat food costs $1.69
1 ounce of this box will cost $(1.69/38) = $0.045
For the smaller box -
24 ounce box of cat food costs $1.29
1 ounce of this box will cost $(1.29/24) = $0.054
Money that can be saved per ounce by guiding the larger box -
0.054 - 0.045
0.009
Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.
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Please help me solve it
Step-by-step explanation:
D
Sam had 5 fish. She ate 2 how many did she have left
Answer:
3
Step-by-step explanation:
Makayla has 2 yards of ribbon to use for a craft project she cuts the ribbon into pieces that are 1/4 yard long how many pieces of ribbon does Makayla have
Answer:
8
Step-by-step explanation:
2/ 1/4 = 8
Answer: 8
Step-by-step explanation: 2 / 1/4 = 8
HELP ME I'LL GIVE BRAINLIEST
DON'T YOU DARE STEAL THE POINTS OR I WILL HUNT YOU DOWN
11h+33
30p+15j
4p+8
i feel like im about to die, ur a lil scary
Malcom wrote the equivalent ratios shown below. Find the scale factor he used to write the equivalent ratios
9/40 and 54/240
In this question, we're looking for the number Malcom used to scale the two numbers. We can see there's a pattern, 9 is 1/6 of 54 and 40 is 1/6 of 240!
(54 divided by 9 is 6 and 240 divided by 40 is 6!)
therefore, the scale factor must be 6
find the value of x !!
thanks :)
According to question as both side are equal so it is an isosceles triangle and the value of X is 18.
What are the properties of Isosceles Triangle?An isosceles triangle is a triangle with two sides of equal length. Some properties of an isosceles triangle include:
The two equal sides are called the legs of the triangle and the remaining side is called the base.The angle between the legs is always equal to the angle between the base and one of the legs.The altitude (perpendicular line segment from a vertex to the opposite side) bisects the base of the triangle.The median (line segment from a vertex to the midpoint of the opposite side) and the altitude from the same vertex to the opposite side are also congruent.The circumcenter (center of the circle that passes through all three vertices) of an isosceles triangle is always located at the midpoint of the line connecting the two vertices of the congruent sides.The line that is bisecting the angle between the congruent sides (also known as the angle bisector) also bisects the side opposite to that angle.so In this triangle ,
The mid point on horizontal side is given and 5m line cut the mid point of both the sides.
both side are equal as it is an isosceles triangle.
and given in the question,
side/2 =9
and one side is equal to x.
and both sides are equal,
therefore
side = 9*2 = 18
so the value of x = 18.
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The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide,
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work
Answer:
3 m
Step-by-step explanation:
To geg the answer you need to multiply 1.5 times 2.
Which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
Cuz I graphed it, and it looked the same
Pls awnser this Giving brainlest to the right person that has the awnser
Answer:
top one is dependent
bottom is independent
Step-by-step explanation:
the amount of money you pay is based off of the amount of time on your subscription
At what time t was the instantaneous velocity equal to the average velocity? (Round your answer to one decimal place.)
Answer:
Instantaneous velocity can be equal to average velocity when the acceleration is zero or velocity is constant because in this condition all the instantaneous velocities will be equal to each other and also equal to the average velocity.
What is 1,207.43% times 83.53$
Answer:
1 008.56628 US$ kkkkkkkkkk
Answer:
$43352.9053
Step-by-step explanation:
Not sure if this is what you wanted to do, but 1,207.43% of 83.53 is 43352.9053, So there you go.
Please help will mark Brainly
Answer:
x=-1 and y=4
Step-by-step explanation:
When you draw a graph you will see point of intersection which is solution
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.65 hours, with a standard deviation of 2.43 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.37 hours, with a standard deviation of 1.73 hours. Construct and interpret a 90% confidence interval for the mean difference in leisure time between adults with no children and adults with children. (u1 - u2)
Let u1 represent the mean leisure hours of adults with no children under the age of 18 and u2 represent the mean leisure hours of adults with children under the age of 18. The 90% confidence interval for (u1 - u2) is the range from (???, ???) round to 2 decimals
Answer:
The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Step-by-step explanation:
Given the data in the question;
Adult with No children under 18 Adult with children under 18
x"₁ = 5.65 x"₂ = 4.37
s₁ = 2.43 s₂ = 1.73
n₁ = 40 n₂ = 40
with 90% confidence
significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1
Degree of freedom df = 39
Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;
Standard Error: σx"₁ - x"₂ = [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
Critical value = [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.05, df=39[/tex] = 1.645 { from standard normal table }
Now,
Margin of Error = E = [tex]t_{\alpha /2, df[/tex] × [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
we substitute
E = 1.645 × [tex]\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }[/tex]
E = 1.645 × √( 0.1476225 + 0.0748225 )
E = 0.7758478
Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28
So Limit at 90% confidence interval will be;
x"₁ - x"₂ ± E
Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50
Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06
Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Which graph is represented by the equation (X + 3)2 + (y – 4)2 = 9?
Unit test
Answer:
center (2, -3)
radius r = 3
Graph c
Step-by-step explanation:
Answer:
Graph A on edge
Step-by-step explanation:
($75,000 - $80,000) x (1 - .21)
Answer:
-3,950
Step-by-step explanation:
First -5,000(1-0.21)
Then multiply -5,000 x 0.79 = -3,950
Question 8: I Can Write the y=mx Form Equation of the Line.
A train traveled 120 miles in 3 hours. The train traveled at a constant speed. If the
train continues to travel at this rate, which equation can be used to determine y,
the total number of miles the train will travel, in x hours?
A. y = 40x + 20
B. y = 40x
C. 40y = x
D. 40 + y = x
Answer:
b
Step-by-step explanation:
120/3 = 40
40 miles in 1 hour
Answer:
B. y = 40x
Step-by-step explanation:
120 miles in 3 hours, that means every hour the train traveled 40 miles.
In this expression: 5x – (12 -6), x is what we called the ....?
Answer:
x is the variable
Step-by-step explanation:
Answer:
Binomial
Step-by-step explanation:
There is two expression
Can a triangle have sides with the given lengths ? Explain . 1 ft , 2 ft , 4ft
how many sides does a polygon have whose total number of diagonals is 20?
Answer:
there would be 8 sides if there are 20 diagonals
Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle of elevation with the ground to the top of the waterslide?round to two decimals places
Two brothers are allowed to spend a maximum of 5.90 money as pocket money.the elder brother spent 2.97 money. How much was left for the younger brother?
Answer:
2.93
Step-by-step explanation:
5.90-2.97=2.93
What is the average rate of change between x=1 and x=5 for y=2x+5
Answer:
the average rate of change is 2 with an intercept of 5
Step-by-step explanation:
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answer:
To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:
Subtract your original score from your revised score to find the difference: 15 - 5 = 10
Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%
This means that your grade increased by 200%.
Step-by-step explanation:
Frank's father came home from San Francisco by airplane. He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank's
father had to wait another 35 minutes while the plane was in Portland.
How long did Frank's father spend waiting?
Answer:
2 hrs and 20 minutes
Step-by-step explanation:
45 + 35 = 80
What is the volume of the rectangular prism? Please Help
Answer:
60 cm cubed I think
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
use the Area formula
L*W*H
3*5*4=60
What is the scale factor? Will mark brainlest
Answer:
The answer is -1
Step-by-step explanation:
A recipe from Sally’s "Chocoholic’s Cookbook" requires 70\frac{1}{6} grams of chocolate for each chocolate fudge cake. How many grams of chocolate would she need if she made one chocolate cake for each of her 12 closest friends?
Answer:
842 grams
Step-by-step explanation:
[tex]70\frac{1}{6} =\frac{421}{6}[/tex]
[tex]\frac{421}{6} *12\\\\842[/tex]
One cake consists of 421/6 grams of chocolate.
Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.
To make 12 cakes, she needs 842 grams of chocolate.
Equations of Exponential Functions
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) P = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t
Which town is growing the fastest?
a. i c. iv
b. iii d. vi
Please select the best answer from the choices provided
Answer:
C. iv
Step-by-step explanation:
I calculated it logically