Answer:
y = 11
Step-by-step explanation:
y = 2(7) - 3
y = 14 -3
y = 11
The sum of three numbers is 4. The second number is 1 more than twice the first. The sum of the first and third is –1. Find the numbers.
1. The first number is equal to 2.
2. The second number is equal to 5.
3. The third number is equal to -3.
Let the first number be a.Let the second number be b.Let the third number be c.Translating the word sentence into an algebraic expression, we have;
The sum of three numbers is 4:
[tex]a+b+c=4[/tex] ....equation 1.
The second number is 1 more than twice the first:
[tex]b=2a+1[/tex] ....equation 2.
The sum of the first and third is –1:
[tex]a+c=-1[/tex] ....equation 3.
From eqn. 3, we have:
[tex]c=-1-a[/tex] ....equation 4.
Substituting into eqn. 1, we have:
[tex]a+2a+1+(-1-a)=4\\\\3a+ 1-1-a=4\\\\2a=4\\\\a=\frac{4}{2}[/tex]
a = 2
To find the value of b:
[tex]b=2a+1\\\\b=2(2)+1\\\\b=4+1[/tex]
b = 5
To find the value of c:
[tex]c=-1-a\\\\c=-1-2\\\\[/tex]
c = -3
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I don’t know how to do number 9. Can some one please help? URGENT.
Jayden deposited $7100 in a savings account with simple interest. Three months later, the account held $7,259.75. what was the interest rate?
Answer:
Step-by-step explanation:
7259.75 - 7100 = 159.75
he earned 159.75 in interest
159.75/ 7100= .0225
and if you convert that to percentages then its 2.25%
If r/s = 22 and the value of r is 242, what is the value of s
Answer:
s = 11
Step-by-step explanation:
Given
[tex]\frac{r}{s}[/tex] = 22 ← substitute r = 242
[tex]\frac{242}{s}[/tex] = 22 ( multiply both sides by s )
242 = 22s ( divide both sides by 22 )
11 = s
Answer:
S would equal 11
Step-by-step explanation:
A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 2 cups of the cereal?
Answer:
a) The unit rate for calories per cup is 100 calories per cup
b) 200 calories in 2 cups of cereal.
Step-by-step explanation:
A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.
a) What is the unit rate for calories per cup?
This is calculated as:
3/4 cup = 75 calories
1 cup = x
Cross Multiply
3/4x = 75 calories × 1
x = 75 calories /3/4 cup
x = 75 ÷ 3/4
x = 75 × 4/3
x = 100 calories per cup
The unit rate for calories per cup is 100 calories per cup
b) How many calories are there in 2 cups of the cereal?
From the above question
3/4 cup = 75 calories
2 cups = x
Cross Multiply
3/4x = 75× 2
x = 150 ÷ 3/4
x = 150 × 4/3
x = 200 calories
There are 200 calories in 2 cups of cereal.
what is the answer to this question 7.2 x 10^-8
Answer:
7.2e-8
Step-by-step explanation:
PLEASE HELP!!! Find f(-3.5) y= 1/5x + 7x2 -11
Answer:
74.05
Step-by-step explanation:
1st step: plug -3.5 in for all values of x
y = 1/5(-3.5) + 7(-3.5)^2 - 11
2nd step: follow the order of operations by doing (-3.5)^2 to get 12.25
y = 1/5(-3.5) + 7(12.25) -11
3rd step: multiply 1/5 and -3.5 to get -0.7
y = -0.7 + 7(12.25) -11
4th step: multiply 7 and 12.25 to get 85.75
y = -0.7 + 85.75 - 11
Lastly, now that all operations are either addition or subtraction, work left to right
y = 85.05 - 11.00
y = 74.05
1) Find the slope of the line
that passes through the
points in the table.
I got three answers for alot points ok this is the first question what is : 1/2 + 3/6 =
next question: 1/3 - 1/4 =
last question: 5 2/3 - 2 1/2
Answer:
1. 1
2. 1/12
3. 3 1/6
Step-by-step explanation:
Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.
Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.
Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.
What is f(3) if f(x)= -4x+1
Answer:
I'm pretty sure its -11
Answer:
f(3) = -11
Step-by-step explanation:
Substitute 3 in wherever you see an x:
f(3) = -4 * 3 + 1
f(3) = -12 + 1
f(3) = -11
Lucy is a waitress. At the end of the night she must give 12% of her tips to the cleaning crew. How much does she go home with if she made $320 in tips last night?
Answer:
It would be $281.60
Step-by-step explanation:
if the cost of a book is RS.480, find the cost of 4 books
Step-by-step explanation:
for 1 book=480
for 4 books= 480×4
=1920
Answer:
If one book costs 480, then four books will cost the quadruplee. To calculate it, we can multiply by 4 the price of one book:
480 * 4 = 1920
So we know it wouldd cost 1920 rp to buy four.
Last month John had $240 in his savings account. He got money for his birthday and now he has $320. What is the percent of change for his account?
Answer:
Should be a 33.33% increase
Step-by-step explanation:
320 divided by 240 to get 1.33, anything above 1 is increase, so its a 33% increase.
What is the decimal multiplier to increase by 81%
Answer:
multiply by 1.81
Step-by-step explanation:
Use quadratic regression to find
the equation of the parabola
going through these 3 points.
(2,49), (-2,-27), (1,18)
63.7 x 10
94.6 x 10^3
0.365 x 10^4
Please, Its due soon! WILL GIVE BRAINLIEST IF CORRECT
Answer:
Haven't done this in years, but I think that's correct.
Step-by-step explanation:
63.7 x 10^1 = 637
94.6 x 10^3 = 94600
0.365 x 10^4 = 3650
Answer:
The answer to the first question is 637
The answer to the second question is 94600
The answer to the third question is 3650
Step-by-step explanation:
63.7 x 10 = 637
94.6 x 10^3 = 94.6 x 1000 = 94600
0.365 x 10^4 = 0.365 x 10000 = 3650
Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number of food cans collected by each student. Each dot represents one student. What is the median of the data set? A. 9 B. 7 C. 6 D. 8
Answer: answer is C 7
Step-by-step explanation:
So for this problem it is important to know what a median is. The median is essentially the center number when everything is written out. So you want to take your line plot and write out each number on the bottom as many times as a dot appears above it. For this problem that would look like 6, 6, 7, 7, 8, 9, 9. Since you have seven numbers the center would be the 4th one. In ascending order out of these numbers the 7 occurs fourth thus giving you your answer.
Solve the equation.
-9x + 1=-X+17
Ox=-8
Ox=-2
Ox=2
Ox=8
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
-9x + 1 = -x + 17
Step 2: Solve for x
Add 9x on both sides: 1 = 8x + 17Subtract 17 on both sides: -16 = 8xDivide 8 on both sides: -2 = xRewrite: x = -2HELP ME ASAP PLEASE!!
Answer:
x = 30
y = 7
Step-by-step explanation:
The triangle given is an equilateral triangle.
Equilateral Triangle
A triangle that has same length of all sides of triangle. They have same congruent internal angles as well.
So, If length of one side = 7
Length of other two sides will also be same i,e 7
Length of 2nd side = 7
Length of 3rd side = 7
Now, finding angles and value of x
The one angle is 2x, so the other two angles will be also 2x (because all angles of equilateral triangle are same)
We know that sum of all sides of angles of triagle = 180
We can write: [tex]2x+2x+2x=180[/tex]
Solving the equation to find x
[tex]2x+2x+2x=180\\6x=180\\x=180/6\\x=30[/tex]
So, x = 30
Since y is not given in picture, I think it is length of other sides i.e y = 7
Spot fetched 12 sticks and some rocks when he played outside how many object did he fetch in all
When he played outside how many object did he fetch in all is 12+r
What is Expression?An expression is combination of variables, numbers and operators.
Given that Spot fetched 12 sticks and some rocks
Let the rocks be denoted as r
We need to check when he played outside how many object did he fetch in all
The number of sticks are 12
The number of rocks are r
They are asking for total which means we have to sum the number of sticks and number of rocks
12+r
Hence, when he played outside how many object did he fetch in all is 12+r
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Hi I need help. Also, thanks for helping me on a weekend ;u;
Answer:
Step-by-step explanation:
6 / (3/400) = ?
6 / 0.0075 = 800
Which of these sets have the integers in order
from least to greatest?
-42, -32, -39, -10
-42, -39, -32,-10
-10,-32, -39,-42
-10, -39, -32, -42
Answer:
-10,-32, -39,-42
Step-by-step explanation:
-10,-32, -39,-42
Is anyone able to answer this ?
Answer:
m = -60
b = 300
y = -60x + 300
Step-by-step explanation:
(0,300) and (5,0)
m = y2 - y1/x2 - x1
m = 0 - 300/5 - 0
m = -300/5
m = -60/1
m = -60
y-intercept = b = 300
slope intercept form: y = mx + b
y = mx + b
y = -60x + 300
Answer:
m = -60
b = 300
y = -60x + 300
Step-by-step explanation:
(0,300) and (5,0)
m = y2 - y1/x2 - x1
m = 0 - 300/5 - 0
m = -300/5
m = -60/1
m = -60
y-intercept = b = 300
slope intercept form: y = mx + b
y = mx + b
y = -60x + 300
(p^2-7pq-q^2)+(-3p^2-2pq+7q^2)
Answer:
-2p² - 9pq + 6q²
Step-by-step explanation:
Add the like terms
p² + - 3p² = -2p²
-7pq + - 2pq = -9pq
-q² + 7q² = 6q²
y=-4/7x-4
Can someone help me please
Answer ASAP for brainly
Answer: 25
Step-by-step explanation: -5 x 25 + 13 = -112
Answer:
25
Step-by-step explanation:
To find the answer you do the equation backwards.
Since you added 13, subtract 13 from -112
-112 - 13 = -125
-125 / -5 = 25
40 ÷ 1/2 + 15 First right answer gets Brainliest
Answer:
Step-by-step explanation:
Remark
This might be easier if you put this into your calculator this way.
40/0.5 + 15
When you do, you get 80 + 15 = 95
What is the slope of the line that passes through the points (9,4) and (9, -5)? Write your answer in simplest form.
Answer:
The slope of the line is undefined, and the equation of the line is x = 9.
Step-by-step explanation:
Given the points
(9, 4)(9, -5)Finding the slope between (9, 4) and (9, -5)
It is clear that the value of x = 9 is the same in both points.
It means no matter what the value of y is, the value of x remains the same.
It means the line is vertical.
Therefore, the slope of the vertical line is undefined, because the value of x is not changing.
Thus, the slope of the line is undefined, and the equation of the line is x = 9.
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 4?
Write your answer as a fraction in simplest form.
Answer:
2/3
Step-by-step explanation:
it's 8/12 because there are 8 numbers above 4, you just simplify down to 2/3
How can the standard form of a linear function be used to model
real-world scenarios?
Let's look at an example.
-----------------------------------------
Problem:
At a high school play, tickets are sold at two different prices: student prices and parent prices. The student price is $2 while the parent prices is $3. On one night, 145 tickets were purchased and the total revenue was $335.
How many student tickets were purchased? How many parent tickets were purchased?
------------------------------------------
Solution:
Let x be the number of student tickets sold and y be the number of parent tickets sold.
We know that 145 people attended so x+y = 145 is the first equation we can set up. This equation is in standard form since standard form is Ax+By = C. Here we have A = 1, B = 1, C = 145.
The second equation we can form is 2x+3y = 335. This is also in standard form. This time we have A = 2, B = 3, C = 335.
The 2x is the amount of money made from just the students only. The 3y is from the parents only. The expression 2x+3y is the total from both groups. This total is set equal to 335 as this is the amount of money pulled in.
After forming both equations, we can write this system of equations
[tex]\begin{cases}x+y = 145\\2x+3y = 335\end{cases}[/tex]
To solve this system, we could isolate y in the first equation to get y = -x+145. Then plug this into the second equation to solve for x
2x+3y = 335
2x+3(-x+145) = 335
2x-3x+435 = 335
-x = 335-435
-x = -100
x = 100 .... number of student tickets bought
Use this to find y
y = -x+145
y = -100+145
y = 45 .... number of parent tickets bought
We can see that x+y = 100+45 = 145
And also 2x+3y = 2*100+3*45 = 200+135 = 335
These two facts help confirm we have the correct x,y values.