Answer:
16 teaspoons
Step-by-step explanation:
4x4= 16 teaspoons
The amounts of oil and vinegar combined to make the salad dressing are
in a constant definite proportion.
The quantity of oil required to make 28 teaspoons of dressing is 16
teaspoons.
Reasons:
According to the question, 4 parts of oil are added to every 3 parts of
vinegar.
Therefore;
The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3
4 : 3 = [tex]\dfrac{4}{3}[/tex]
The proportion of oil to vinegar is therefore;
[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]
Which gives;
[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]
Let x represent the amount of oil required to make 28 teaspoons of dressing,
we have;
[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]
Which gives;
[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]
[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]
Therefore;
[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]
The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.
Learn more here:
https://brainly.com/question/20320243
At 11:00 p.m., the temperature in Alaska was −5°. Four hours earlier, the temperature was 40° warmer. What was the temperature at 7:00 p.m.?
Answer:
35
Step-by-step explanation:
If you put 40 - 5 it would equal 35 in the positive
Which of the following expressions has the greatest value? A. 62 O B. 53 O c. 52 O D. 32
Answer:
A. 62
Step-by-step explanation:
this is a very good question that the brainly ppl cant delete, WHYYYYYYY?!
and also just to make sure they dont delete it tell me what is 10^3 = to
Answer:
1000
Step-by-step explanation:
I search it it cam in a calculator
Answer:
Its 1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
The measures of the sides of an
equilateral triangle are (3x+6),
(9x-12), and (6x-3). Find x and the
measure of each side of the triangle.
Answer:
108 3833 832 i73336533
The value of x is 3 units and the measure of each side of the triangle is 15 units.
Given that, the measures of the sides of an equilateral triangle are (3x+6),
(9x-12) and (6x-3).
What is an equilateral triangle?An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
Since, the sides of an equilateral triangle are, we get
3x+6=9x-12
⇒ 9x-3x=6+12
⇒ 6x=18
⇒ c=3
So, 3x+6 =9x-12 =6x-3 =15 units
Hence, the value of x is 3 units and the measure of each side of the triangle is 15 units.
Learn more about an equilateral triangle here:
brainly.com/question/3461022.
#SPJ2
PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!
Adding two functions results in h(x) = –x + 9, while multiplying the same functions results in j(x) = –9x.
Which statements describe f(x) and g(x), the original functions? Select two options.
A. Both functions must be quadratic.
B. Both functions must have a constant rate of change.
C. Both functions must have a y-intercept of 0.
D. The rate of change of either f(x) or g(x) must be 0.
E. The y-intercepts of f(x) and g(x) must be opposites.
Answer:
Both functions must have a constant rate of change.
The rate of change of either f(x) or g(x) must be 0.
From the first equation we know that both f (x) and g (x) must be of order 1 or of order 0, since the maximum exponent of X is 1. This indicates that both functions must have a constant rate of change , since the derivative of a function of order 0 or of order 1 is a constant.
From equation 2 we know that both f (x) and g (x) are composed of a single term, since the multiplication of both results in a single term (-9x). In addition, we verify that one of the functions is of order 0 and the other is of order 1, since the result of the product is of order 1.
If f (x) or g (x) are of order 0, which means that they are composed of only one constant, the rate of change of any of the 2 functions is 0.
Step-by-step explanation:
Answer:
B and D.
Step-by-step explanation:
We know that when we added the two functions together, we get:
[tex]h(x)=-x+9[/tex]
However, when we multiplied them together, we get:
[tex]j(x)=-9x[/tex]
Let's first consider what we can determine from this.
If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.
However, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.
But, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².
Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.
Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.
Let's go through each of the answer choices.
A) Both functions must be quadratic.
This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.
B) Both functions must have a constant rate of change.
Remember that all linear equations have a constant rate of change.
Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.
So, B is true.
C) Both functions must have a y-intercept of 0.
Remember that one of our functions is a horizontal line.
If the y-intercept was 0, then the equation of our horizontal line will be:
[tex]y=0[/tex]
And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.
So, C cannot be true.
Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.
D) The rate of change of either f(x) or g(x) must be 0.
Remember that we determined that one of our lines must a horizontal.
Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.
So, D is true.
E) The y-intercepts of f(x) and g(x) must be opposites.
Well, since B and D is are true, this must be false since we can only select two options ;D
But, we can think about this. Note that if we multiply the two functions, we have a function without a y-intercept.
Remember that our horizontal line is not 0. So, the y-intercept of the horizontal line is a number.
So, the opposite of a number is another number.
So, if we multiply two non-zero numbers, we must get another number.
However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.
Therefore, the two y-intercepts cannot be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.
In fact, this means that the y-intercept of our line (not the horizontal one) must be 0.
So, our answers are B and D.
And we're done!
Edit: Some (minor) errors in reasoning. Sorry!
49 points in seven games unit rate
Answer:
7
Step-by-step explanation:
1. Do 49÷7 to get the average of 7
The London School of Economics and the Harvard Business School have conducted studies of how chief executive officers (CEOs) spend their time. These studies have found that CEOs spend many hours per week in meetings that include conference calls, business meals, and public events. Suppose that the data below show the time spent per week in meetings (hours) for a sample of 25 CEOs.
14 15 18 23 15
19 20 13 15 23
23 21 15 20 21
16 15 18 18 19
19 22 23 21 12
a. What is the least amount of time spent per week on meetings? The highest?
b. Use a class width of two hours to prepare a frequency distribution, a relative frequency distribution, for the data.
Answer:
(a) The least amount of time spent per week on meetings is, 12 hours.
The highest amount of time spent per week on meetings is, 23 hours.
(b) Shown below.
Step-by-step explanation:
(a)
Arrange the data in ascending order.
S = {12 , 13 , 14 , 15 , 15 , 15 , 15 , 15 , 16 , 18 , 18 , 18 , 19 , 19 , 19 , 20 , 20 , 21 , 21 , 21 , 22 , 23 , 23 , 23 , 23}
The least amount of time spent per week on meetings is, 12 hours.
The highest amount of time spent per week on meetings is, 23 hours.
(b)
The frequency distribution table with the relative frequency distribution is as follows:
Class Interval Frequency Relative Frequency
12 - 14 3 0.12
15 - 17 6 0.24
18 - 20 8 0.32
21 - 23 8 0.32
Total 25 1.00
Find the rate of change between:
(-4, 0)
(-4, 2)
Answer:
Its increasing the y value by 2 everytime
Step-by-step explanation:
-4,0 + 0,2 = -4,2
-4,2 + 0,2 = -4,4
to understand the increasing value add 2.
All of the following are rational except
Sqrt 0.49
Sqrt 19
Sqrt 900
Sqrt 100
Answer:
0.49
Step-by-step explanation:
for it to be rational there should not be no decimal nor pi .
8 = 23 - 5w
Solve for w
Answer:
Step-by-step explanation:
8 = 23 - 5w
subtract 23 from both sides to cancel out 23
-15 = -5w
divide both sides by -5 to isolate w
3 = w, dividing a negative by a negative will result in a positive
A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to pick a blue marble if he picks a marble 200 times?
Answer:
Quinn can expect to pick blue 40 times
Step-by-step explanation:
the probability of picking blue is stated as 2/10 which can be reduced to 1/5
multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)
200 x 1/5 = 200 / 5 = 40
Quinn can expect to pick blue 40 times
Answer:40 blue marbles
Step-by-step explanation:
First find the probability of a blue marble
P (blue) = number of blue marbles / total marbles
= 2 blue/ ( 5+3+2) total
= 2/10
=1/5
We can use this since we return the marble to the bag each time
We multiply this by 200 for the number of times it is picked
200 * 1/5 = 40
We should expect to pick 40 blue marbles
24. Mr. Reilly is a truck driver. His truck has 6 wheels
on each side. How many wheels are there on the truck?
Answer:
12
Step-by-step explanation:
unless placed in an inconvinient way, this is really the one that makes sense.
A farmer has a total of 7725. Corn plants he wants to plant 40 corn plants in each row how does the following work in long division
Answer:
The answer is B
Step-by-step explanation: Let me know if you need an explanation.
Ms. Martin went for a pedicure. The pedicure was $25, and she tipped the girl 20%. How much did the trip to get a pedicure cost Ms. Martin?
PLS I NEED HELP! Translate these words into an algebraic phrase:
The difference of seven squared and eight
Answer:
7^2-8
Step-by-step explanation:
(just imagine that 2 is above the 7)
Since it asks for the diffrence, it's asking for a subtraction problem, and "7 Squared" is basicly saying to square the 7 before you subtrat
(if you want to know the answer to this algerbraic phrase, its 41)
Solve each System by Substitution.
5) 4x - 8y=6
x = 2y
I
Answer:
The answer is y = -1/3
Step-by-step explanation:
Hope this helps
Write the number in scientific notation.
1,920,000
Charlie fills 2 more boxes with chocolates. These boxes have 7 layers of chocolates with 12 chocolates in each layer. Then, Charlie puts both boxes together in a larger box
Answer:
19
Step-by-step explanation:
Which pair of triangles is congruent by ASA?
does the graph show a proportional relationship? explain.
ech
CHALLENGE
5)
14 -
What values of a make the relation
n{(a, 1), (2, 3), (4, 5); a function? Explain. I
<<
Answer:
Any number different from 2 or 4
Step-by-step explanation:
As long as the number a is not 2 or 4 (which would connect the value of "a" in the Domain with different numerical values in the Range, the relationship will be a function. A function requires that for any element of the Domain there is ONLY one associated element in the Range.
Simplify -6 to the power of 2 divided by 12- 2(-7).
Answer: 18
Step-by-step explanation: -36 / -2 simply
A chef needs 60 oz of hot pepper sauce.
Which container size represents the better buy?
What will be the total cost of those containers?
Answer:
30-oz is a better buy
Total cost: $40.80
Step-by-step explanation:
The container with a lesser price per oz will be the better buy.
Let's calculate how much each container will give us per oz:
2-oz container = $1.99/2 = $0.995 per oz
5-oz container = $3.95/5 = $0.79 per oz
12-oz container = $8.76/12 = $0.73 per oz
30-oz container = $20.40 = $0.68 per oz
The 30-oz container is cheaper and would be a better buy.
In total the chef would buy 60-oz of hot pepper sauce for = 60-oz*$0.68 = $40.80
At the beginning of the quarter there were 40 students in our class. At the final exam, there are only 32 students left. By what percent did the class size decrease? by 96
Answer:
20 % decrease
Step-by-step explanation:
First find the number of students that left
40 -32 = 8
Take the number of students that left and divide by the original number of students
8/40
1/5
.20
20%
20 % decrease
Answer:
20% decrease ._.
Step-by-step explanation:
If u could subscribe to my friend penny_pg3d on YT, that would be great :)
I uploaded a picture
Answer:
37
Step-by-step explanation:
if m^1=m^2 then m^ 1 is?
Answer:
90
Step-by-step explanation:
Which construction is partially represented by the diagram on the baseball field? Explain the next set of instructions to correctly finish the construction.
Answer:
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Step-by-step explanation:
Angle bisector of an angle bisects it into two equal angles.
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Consider the figure:
From point B, draw an arc by opening the compass up to the same extend as we did while drawing arc from point A.
Take the point of intersection of both the arcs as C.
Join OC.
OC is the angle bisector of the angle.
You jogged 3 miles. How many kilometers is this?
Answer:
4.82803 kilometers
Step-by-step explanation:
1 mile is 1.609 kilometers
Answer:
4.828032
Step-by-step explanation:
Derek tried to solve an equation step by step.
\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}
8d
8
8d
d
=72
=
8
72
=8
Step 1
Step 2
Find Derek's mistake.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b
(Choice B)
B
\blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed
(Choice C)
C
Derek did not make a mistake.
Answer:
Step-by-step explanation:
[tex]\begin{aligned} 8d&=72\\\\ \dfrac{8d}{8}&=\dfrac{72}8&\green{\text{Step } 1}\\\\ d&=8&\blue{\text{Step } 2} \end{aligned}[/tex]
Derek's Mistake ;
[tex]\frac{8d}{8} =\frac{72}{8} \\\\[/tex]
Reason ;
[tex]72\div 8 =9 \\\\So ; d = 9[/tex]
Answer:
Step 2 - d=8
Step-by-step explanation:
72/8 equals 9 not 8
8/x = 5/9 solve for x
i gotchu, x = 14.4
8/x = 5/9 (solve for x)
first you'd cross multiply (property of multiplication)
(8)(9) = (5)x
72 = 5x
then you flip your equation (communitive property)
5x = 72
then you need to eliminate five so you'd divide by 5 (inverse operation)
5x/5 72/5
x = 72/5
so x would be 14.4 since 72/5 is 14.4
(or just 14 since if you rounded it your answer would be 14)