Step-by-step explanation:
the mix follows the ratio 2/3 (cups of cocoa to sugar).
2 × x = 6 cups
x = 6/2 = 3
so, the cocoa cups number is multiplied by the factor 3, and we need to multiply also the sugar cup number with the same factor to keep the ratio value unchanged :
so, we need 3×3 = 9 cups of sugar.
the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___
Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
Read more about regression equations at:
https://brainly.com/question/7656407
Which equation has no solution?
Answer: It should be the third one
Step-by-step explanation:
Given that the points (-32,-10) and (-74,11) lie on a line, what is the equation of the line
The equation of the line with the points (-21, -10) and (-74, 11) is
y = (-/12)x - 26.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
(-32,-10) and (-74,11)
The equation of a line is given as,
y = mx + c
m = (11 + 10) / (-74 + 32)
m = 21 / -42
m = -1/2
Now,
(-32, -10) = (x, y)
-10 = (-1/2)(-32) + c
-10 = 16 + c
c = -10 - 16
c = -26
Now,
The equation of the line is y = (-/12)x - 26.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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y = –15x + 375.
Graph the linear equation.
Answer:
the required graph is in the attachment.
Step-by-step explanation:
3/10 = ___ x 1/10
pls help i'll give brainiest
Answer:
1/10 x 30/10=30/100 then simplify =3/10
Step-by-step explanation:
Hope I helped please mark brainliest!
Find the equation of the line that passes through (3,1) and is parallel to y = 3 − 2 x . Leave your answer in the form y = m x + c
Answer:
y=3-2x
Step-by-step explanation:
Parallel to y = 3 − 2 x => y=c-2x
Through (3,1) => 1=c-2(1) <=> c=3
Line is y=3-2x
I NEED THE ANSSWER ASAP!!
Which situation would best be represented by positive 32?
Find the highest common factor and lowest common factor of 78 and 130
Shown method would be great thankss :))
Answer:
The GCF is 26 and the least common factor is 390
Step-by-step explanation:
The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.
here is a screenshot please help 15 points
Select the correct answer.
Which statement is a converse of p?
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades.
A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade.
B. If every fourth card drawn isn't a spade, then 25% of the cards in a deck aren't spades.
C. If 25% of the cards in a deck aren't spades, then every fourth card drawn wouldn't be a spade.
D. If every fourth card drawn isn't a spade, then 75% of the cards in a deck are spades.
C is the correct answer.
5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is offered a 48-month loan without interest. If the family is not able to pay back the full amount in 48 months, they will be charged 8% interest on the purchase amount. How much money in total will the young family pay if they take longer than 48 months? (Think: 48 months is 4 years.)
Answer:
12742.84$
Step-by-step explanation:
11798 (the price) + 11796 x 0.08 (8% interest)=12742.84
TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?
Answer: false.
Step-by-step explanation:
it's only a terminating decimal if you end up with a remainder of 0.
The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 70 in, find its length and width.
Answer:
A rectangle have 2 equal sides whilst the other 2 is also equal
So we can make length “l”
Whilst we can make width “w”
So the formula for a perimter is
2l+2w=p
In this case it’s 70
Now the length is 3 in longer then the width.
So l= 3+w
We can subsitute that in so we can solve the equation now
2(3+w) + 2w = 70
4w+6=70
Now solve
4w+6=70
4w= 64
w= 16
So width is 16
Lenght is 3 more then with so 16+3=19
Width is 16
Length is 19
Are these parallel or perpendicular or neither? 8x-2y=4 and x+4y=-12
Answer:
perpendicular
Step-by-step explanation:
(x+4y=-12) = (y = − 1 /4 x − 3)
(8x-2y=4) = (y = 4 x -2)
Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)
HELP PLSSSSSSSSSSSS
Answer:
just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph
Step-by-step explanation:
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
Answer:
SU ≅ RPΔPQR ≅ ΔUTSStep-by-step explanation:
For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)
needed: SU ≅ RP
If we label the triangles in order by hash marks, the congruence statement becomes ...
ΔPQR ≅ ΔUTS
What is the charge on an object that has 1. 25 * 10 ^-17.
Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.
Step-by-step explanation:
Next sequence of 1,-2,-5,-8
Answer:
-11,-14,-17
Step-by-step explanation:
Your numbers are decreasing by 3.
PLS WHAT IS THE REAL ANSWWR ASAP
the answer is t<-48
i hope this helped you if you need the explanation lmk
HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?
Step-by-step explanation:
I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.
we have clear expenses :
1× $100
3× $20
that is in total : $160
now we need to make sure that we generate exactly $160 by selling the tickets.
we have 100 tickets that should lead to $160.
how much should 1 ticket cost ?
well, 160/100 = $1.60
The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.
What are the coordinates of the transformed rectangle P'Q'R'S'?
A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)
Answer:
The answer should be A.
Step-by-step explanation:
I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)
someone please help me
Answer:
FOURTH ONE DOWN
Step-by-step explanation:
Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).
** also next time please take a better picture i had to squint my eyes so hard **
Describe the solutions in words to the inequality 4 < c + 2
A. All real numbers greater than 4
B. All real numbers less than 2
C. All real numbers less than 4
D. All real numbers greater than 2
Answer:
All real numbers are greater than four
Step-by-step explanation:
4+2=6
During winter vacation the 5 member of the scott family went on vacation to a ski resort. They drove 336 miles in 7 hours. What was their averge speed?
Answer:
48 miles/hour
Step-by-step explanation:
(336 miles)/(7 hours) = 48 miles/hour
Answer:
the average speed is 336 devided by 7 then you get the answer
Find the intercept the slope of this line.
Answer:
the last option
Step-by-step explanation:
Can you help me i dont know thw anwser
[tex]\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\[/tex]
[tex]\text{Hence the area of square 3 is 400 units}^2.[/tex]
Answer:
400 square units
Step-by-step explanation:
The side length of square 1 is 1/4 of its perimeter, so is 100/4 = 25 units. The area of square 1 is the square of the side length, so is 25² = 625 square units.
The area of square 3 is the difference in the areas of squares 1 and 2. This is due to the Pythagorean theorem.
area 3 = area 1 - area 2
area 3 = 625 -225
area 3 = 400 . . . . square units
Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?
Answer:
b.
This may be the complete question:
Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?
a. Wanda is task oriented and likes to be alone.
b. Wanda has a lot of energy and is a good multitasker.
c. Wanda has remarkable typing skills and does well with computers.
d. Wanda has very good concentration skills and likes to create things with her hands.
Answer: b.
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.
Answer:
3 chocolates each night
Step-by-step explanation:
C-3
t-1
The coordinates of a point change as follows during a dilation:
(-6, 3) ----> (-2, 1)
What is the scale factor?
Answer:
The answer is D. (6,9)
Step-by-step explanation:
Glad to help