Answer:
The equation representing the relationship between x and y is that;
4y = 3x
Step-by-step explanation:
Here, we want to write a relationship.
From the question, we are told that the amount donated by the family which is x dollars is proportional to what local businesses gave.
From the question, there was an example in which a family gave $12 and local businesses gave $9
So let us establish a relationship using ratio of x to y
Thus;
12/9 = x/y
12y = 9x
4y = 3x
((-4)+(-5)+-1))/3 The / signs is division
Answer:-1 and 1/3
Step-by-step explanation:-4+-5=-9 -9+-1=-10 -10/3=-1 1/3
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
What is the slope of line p
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:
A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.
Answer:
His conjecture is not logical.
Step-by-step explanation:
If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.
A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use
Answer:
56
Step-by-step explanation:
48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.
You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.
Answer:
x=(y-105)/7Step-by-step explanation:
Given that the total time taken to practice is given by the expression as
y=7(15+x)
Simplifying the expression we have
y=105+7x
Solving for x (that is making x subject of formula we have)
7x=y-105
Divide both sides by 7 we have
x=(y-105)/7
Therefore the expression is
x=(y-105)/7
Given the equation 9x - 3y = 27 in standard form. Show how you would convert the equation into slope-intercept form → y = mx + b.
Answer:
y=3x-9
Step-by-step explanation:
Preform the following operations with fractions.
-11/5+4/6
David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 3.
Step-by-step explanation:
We need to tell the incorrect step in the given problem for the product of (–2.5)(–8.3)
Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)
Step 2:
We can write -2.5 = -(2+0.5)
(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)
= 16.6 + 4.15
Step 3.
= 20.75
He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.
Answer:
it is step 3
Step-by-step explanation: i just took the test mark me brainliest lol :>
Complete the table and write the equation
x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?
Equation: y = ____ x + _____
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Substituting:
[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]
This value is used in the slope-point form of the line:
[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]
Where (h,k) is a point from the table, select for example (3,9):
[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]
Operate:
[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]
[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]
The equation of the line is:
[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]
Now complete the table.
For x=0:
[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]
[tex]y=\frac{21}{4}[/tex]
For x=15
[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]
[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]
y=24
For y=1.5, find x:
[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]
Operate:
[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]
Multiply by 4:
[tex]\displaystyle 6-21=5 x[/tex]
Solve:
[tex]x=-15/5=-3[/tex]
x=-3
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
True or false: The domain and range always have the same number of unique values.
Pls help! I only have 3 min left!
Help!!!!!!!!! Quick!!!!!
Answer:
<A obtuse
<B acute
<C obtuse
<D right
Step-by-step explanation:
Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.
x=
Answer:
ummm im sorry i will answer in the comments
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4
Turn this into numerical form -> one-half the sum of x and 12
Answer: 1/2(x+12)
Step-by-step explanation:
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
7(n+4)=21 what is n?
Answer:
-1
Step-by-step explanation:
divide both sides by 7 and you will get (n+4)=3
then subtract 4 on both sides and get n is equal to -1
Answer:
-1
Step-by-step explanation:
write an equation in slope-intercept form for the graph shown (i will give brainliest whoever gets it right)
Answer:
y=-3x+2
Step-by-step explanation:
A mug contains 20 fluid ounces of coffee.
How many pints of coffee does the mug contain?
Enter your answer as a decimal in the box.
Answer:
1.25 pints
Step-by-step explanation:
gallon king!!!
1 gallon king has 4 queens (4 quarts)
1 queen (quart) has a 2 princes (pints)
1 prince has 2 cats (cups)
one cup has 8 oz
put it all together:
2 and 1/2 cups
2 cups = 1 pint
1 pint and 1/2 cup
1/2 cup is 1/4 of a pint
sooo... it's 1.25 pints!
Use the picture below please!!
Answer:
AB and BC are Skew
AE and BF are Parallel
Step-by-step explanation:
I need help ASAP!!!!
Answer:
C
Step-by-step explanation:
P(x)=R(x)-C(x)
=-0.6x³+900x²-400x+700-(400x²+300x)
=-0.6x³+500x²-700x+700
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina
Answer:
Both are correct
Step-by-step explanation:
To check the validity of their statements, we shall be using direct examples
For Ivan , we can have an example of his assertion as follows;
-1/2 * -1/3 = 1/6
For Polina, we can have
-1/2 * -1/3 * -1/4 = -1/24
We can see from the above that both of them got their opinions correctly as there are no exceptions to the above
Answer:
both Ivan and Polina
Step-by-step explanation:
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
f(x)=3x-1 Find f(-8)
Answer: y=-25
Step-by-step explanation:
Plug in -8 for x
3(-8)-1
-24-1
-25
Answer:
x= -25
Step-by-step explanation:
-8(3)-1=
-24-1=
-25
Which of the following is considered an asset?
Answer:
b car lone
Step-by-step explanation:
hope it helps
If you borrow $800 for 8 years at an annual rate of 11% how much will you pay altogether?
Answer:
$1,843.63
Step-by-step explanation:
[tex](1+0.11)^{8}[/tex] · 800 = $1,843.63
Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?
Answer:
$16
Step-by-step explanation:
He received that much money because all you have to do is just subtract
43-27. Then thats how I got my answer.
Hope this helps and have a great day!
Answer:
Willie received $16 dollars during the weekend
Step-by-step explanation:
$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)
If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?
pic below................
Answer:
1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4
2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4
3rd step - multiplication - 2*4 = 8 so the equation is now 2+8
4th step addition- 2 + 8 = 10
Final answer 10
Step-by-step explanation:
A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?
Answer
75 inches
Explonation
To find the answer, you should multiply 1 by 75