Answer:
a= 4/3
Step-by-step explanation:
1.) Simplify both sides of the given equation:
1/4a + -5/6 = -1/2
2.) Add the 5/6 to both sides (cancels the -5/6)
1/4a + -5/6 (+5/6) = -1/2 (+5/6)
1/4a = 1/3
3.) Multiply both sides by 4 (the denominator)
4 * 1/4a = 1/3 * 4
a = 4/3
To check the solution, plug in 4/3 into a:
4/3/4 - 5/6 = -1/2
2.) Dividing fractions is also multiplication:
(4/3 * 1/4) - 5/6 = -1/2
3.) Get the difference of 1/3 and 5/6
1/3 - 5/6 = -1/2
4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)
-3/6 = -1/2
5.) Check to see if both sides match
-1/2 = -1/2
Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?
Answer:
im pretty sure its option 3
Step-by-step explanation:
its unique
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.
The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?
Answer:
It will take 50 seconds for the pebble to reach the height
Step-by-step explanation:
To calculate the time, simple substitute h(t) for 32,500
So we have
32,500 = 20,000 + 5t^2
5t^2 = 32,500-20,000
5t^2 = 12500
t^2 = 12500/5
t^2 = 2500
t = square root of 2500
t = 50 seconds
For box A , find the constant proportionality .
Help please I would really appreciate it
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
Is point 25,20 on the line
Answer:
What Line? it doesnt touch the x or y axis.
Step-by-step explanation:
how many times can 42 go into 278?
Answer:
6.61 or 6 times
Step-by-step explanation:
278/42 = 6.61
42 goes into 278 6.61 times.
If you are estimating, 6 is correct.
If you are finding the exact answer, 6.61 is correct.
I hope this helps with your question.
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answer:
B. The graph is a horizontal line.
Step-by-step explanation:
brainest plz
WILL NAME BRAINLEST ONGGG
Answer:
yes
Step-by-step explanation:
because they are all faced up and not touching each other
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
x+ y= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
9
12
15
9514 1404 393
Answer:
15
Step-by-step explanation:
We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...
3.50x +5.00(24 -x) = 97.50
-1.50x +120 = 97.50
22.50 = 1.50x . . . . . . . add 1.50x -97.50
15 = x . . . . . . . . . . . . . . divide by 1.50
15 10-oz boxes were sold.
Answer:
The answer is D) 15 on edge
(have a nice day and brainiest pls)
Step-by-step explanation:
Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.25 liter of a liquid in it. Brianna needs to use 0.4 of this liquid for the experiment. How much liquid will Brianna use?
Answer: 0.1 liter
Step-by-step explanation:
From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.
The amount of liquid that Brianna will use will be:
= 0.4 × 0.25 liters
= 0.1 liter
Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.
How old is Marjorie?
Answer:
She is 40 years of age
Step-by-step explanation:
Let Joaquin age be j
Let Marjorie age be m
From the first part of the question;
j = 4 + m/2
Secondly;
m =3j - 32
Multiply equation i through by 2
2j = 8 + m
m = 2j-8
Equate both m
2j-8 = 3j-32
3j-2j = 32 -8
j = 24
m = 2j-8
m = 2(24)-8
m = 48-8
m = 40
Carrie read a total of 18 books over 6 months. If Carrie has read 30 books so far, how many months has she been with her book club? Assume the relationship is directly proportional.
? months
Answer:
10 months
Step-by-step explanation:
If we divide 18 and 6, you would get 3. This means that Carrie reads 3 books per month and we can divide 30 and 3 to figure out how many months that she read which is 10.
division problem help pls
Answer: B. D. E. F.
Step-by-step explanation:
Eric had $15.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?
13
14
15
16
Answer:
13
Step-by-step explanation:
so you take $15 ÷ $1.14 = 13.15789. so you round it to 13
Find the distance between (-1,4) and (5,7).
Answer:
(2, 5.5)
Step-by-step explanation:
Use the midpoint formula.
Question 19
Ellie earns $10.50 per hour as a server working x hours per week. She also earns $8.50 per hour editing poetry for y hours per
week. Ellie needs to make at least $125 to pay her cell phone bill, but she has at most 17 total hours to work per week with
her busy college schedule.
The system of linear inequalities modeling this situation is shown.
10.50x +8.50 y 2 125
x + y 517
Which statement represents a solution to the system of linear inequalities?
Answer:
what are the statements
Step-by-step explanation:
help PLEASEE BRAINLIST
Answer:
The first two on the right will not be used
3. goes to 1.
4. goes to 2.
5. goes to 4.
6. goes to 3.
Step-by-step explanation:
HELP, I am not good at triangles at all
I NEED LOTS OF HELP IF U ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLYIST PLEASE PLEASE PLEASE ANSWER THIS
Solve by using elimination. Express your answer as an ordered pair.
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
what is the simplified unit rate of 1/3 and 3/4
Answer:
3/4 = 0.75 1/3 = 0.3333
Step-by-step explanation:
1.4 – ( ___ ) = 2
Pls hurry plz
Answer: The answer is –0.6, wait a second, did you duplicate your question?
Step-by-step explanation:
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
3 A trainer for a soccer team keeps track of the amount of water players consume during practice. The trainer observes that the average amount of water consumed by the team is a linear function of the temperature. The graph and equation for this function are shown. Choose True or False for each statement. True у 7.8 a. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons. False 7.2 b. When the temperature is below 74 degrees, the team consumes no water. Water (gal) True 6.6 64 False 6.0 0 X True 0 74 76 78 80 82 84 86 88 90 92 94 C. When the temperature is 86 degrees, the team consumes somewhere between 7 gal and 7.2 gal of water. Temperature (°F) False w = 0.0875t – 0.45, where w represents the average amount of water consumed, and t represents the temperature on that day. True d. The amount of water consumed by the team decreases by 0.45 gallons for every degree the temperature falls, False S
Answer:
Step-by-step explanation:
true false true false
can anyone help me please I'm not good at math:(
Answer:c
Step-by-step explanation:
Arun's restaurant bill is $58, and he wants to leave the waiter an 18 percent tip. What will Arun's total be?
Answer:
47.56 $
Step-by-step explanation:
I plugged it in my calc
Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. Use the variable x in your expressions.
Answer:
[tex]Terms: 3\ and\ x + 2[/tex]
[tex]Product = 3x + 6[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, there are 3 columns and 3 rows
The 3 columns represent the first factor
To get the second factor, we have to analyze the 3 rows in the attachment.
Notice that the first row is bigger than the other two rows.
This big row will be represented with variable x
Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.
This is represented with + 1
Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.
This is also represented with + 1
Hence, the expression for the rows is x + 1 + 1 = x + 2
The product is then calculated as:
[tex]Product = 3 * (x + 2)[/tex]
[tex]Product = 3 * x + 3*2[/tex]
[tex]Product = 3x + 6[/tex]
4x^2 + 12xy + 9y^2
Can someone answer this and show the work?
ANSWER:
=(2x+3y)^2
WORKINGS:
4x^2+12xy+9y^2
2 =(2x)^2
2 +2(2x)(3y)+(3y)^2
2 =(2x+3y)^2
Please help ASAP thank you
Answer:
Scalene, Acute
Step-by-step explanation:
scalene because the sides are of different length, and acute because it's less than 90°