Answers
First, distribute the negative inside the parenthesis of 1/2.
Next, turn all the denominators into 6 by multiplying by 3 or 2.
-1/2 + 2/3 + -1 1/6
Changes to -3/6 + 4/6 - 1 1/6
-3/6 + 4/6 = 1/6
1/6 - 1 1/6 = -1
[tex]= - \frac{1}{2} + \frac{2}{3} - 1\frac{1}{6} [/tex]
Now change the mixed numeral into a fraction:
[tex]= - \frac{1}{2} + \frac{2}{3} - \frac{7}{6} [/tex]
Now change all fractions to the common denominator, 6:
[tex]= - \frac{3}{6} + \frac{4}{6} - \frac{7}{6} [/tex]
Now combine the fractions together:
[tex]= -\frac{6}{6}
-1
Related Questions
graph the equation y=3/5x on the coordinate plane
Answers
A graph of the linear function y = 3/5(x) is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear function y = 3/5(x) is in slope-intercept form, we would start by plotting the y-intercept:
y = 3/5(x)
y = 3/5(0)
y = 0
Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.
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What is the area of figure EFGHI below?
Answers
Answer:
The answer is C.
Step-by-step explanation:
I learned about it.
Write 0.0000648 in scientific notation. (PLEASE ANSWER XD)
Answers
* = multiply
^ = to the power of
6.48 * 10⁻⁵
What is the equation of the graphed line?
enter answer in slope-intercept form in the box
Answers
y= -9/8x+7
Answer:
[tex]y=-\frac{9}{8}x+7[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept
point [tex](8,-2)[/tex]
substitute the value of x , y and b in the equation to solve for m
[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]
[tex]m(8)=-2-7[/tex]
[tex]m=-9/8[/tex]
therefore
the equation is equal to
[tex]y=-\frac{9}{8}x+7[/tex]
Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.
Answers
To do that, divide the number of ounces by 16 and add to the number of pounds.
For example, 152 lb 4 oz = 152 lb + 4/16 lb= 152.25 lb
14 lb 8 oz = 14 lb + 8/16 lb = 14.5 lb
Do the above for all given weights.
For each line, do this.
Divide the number in the left column by the number in the middle column.
For example, 152.25/14.5 = 10.5. Since the ratios are always the same, the first column is always 10.5 times the middle column.
If you are given the left column, divide by 10.5 to find the middle column.
If you are given the middle column, multiply by10.5 to find the left column.
Finally, add the left and middle columns to find the right column.
Which of the following is not a possible value for a probability?
A. 0.001
B. 1/10
C. 11/10
D. 1/16
Answers
probability takes values from 0 to 1.
On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a mixed number?
Answers
What's the exact value of tan(-4pi/3)
Answers
Solve for x. 4.6x<−15.64 Enter your answer, as an inequality, in the box.
Answers
4.6 * x < - 15.64 /4.6
x < - 15.64/4.6
x < - 3.4
The correct answer would be x < - 3.4.
The value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
An expression 4.6x < -15.64 is given in the question.
We have to find that what will be the value of x.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
The given expression is ;
4.6x < -15.64
Let's solve it to get the value of x.
⇒ 4.6 x < -15.64
⇒ x < -15.64 / 4.6
⇒ x < -3.4
Thus , the value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
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In order to attract more advertisers to the arena during the sports events, the arena plans to offer advertising space as corporate prizes. 720 companies enter. 8 companies win. What is the probability of a company winning? give your answer as a fraction
Answers
Answer: [tex]\dfrac{1}{90}[/tex]
Step-by-step explanation:
Given : The total number of companies = 720
The number of companies won = 8
Now, the probability of a company winning is given by ;-
[tex]\text{P(winning)}=\dfrac{\text{Number of company wins}}{\text{ Total companies}}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{8}{720}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{1}{90}[/tex]
Hence, the probability of a company winning is [tex]\dfrac{1}{90}[/tex].
Patricia donated 1 pint of blood to the blood bank. The lab assistant divided Patricia’s blood equally into 3 bags.
How much blood was in each bag?
Answers
Each bag contained [tex]\(\frac{1}{3}\)[/tex] pint of blood.
To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.
Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag.
The calculation is as follows:
[tex]\[ \text{Blood per bag} = \frac{\text{Total blood donated}}{\text{Number of bags}} \][/tex]
[tex]\[ \text{Blood per bag} = \frac{1 \text{ pint}}{3} \][/tex]
[tex]\[ \text{Blood per bag} = \frac{1}{3} \text{ pint} \][/tex]
Therefore, each bag contains [tex]\(\frac{1}{3}\)[/tex] pint of blood.
What is 3x5+2x8+2 do you know
Answers
Exponents
Multiplication/division
3x5=15
2x8=16
15+16+2
33
the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the buildings height
Answers
Then the height of the building is the 2nd shortest side.
The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft
so h = building height = (80 ft)(2.75) = 219.8 ft
19.5% to a fraction
Answers
.195 = [tex] \frac{39}{200} [/tex]
HELP!!
Which story problem could be solved using the given equation?
1/5x2/3=m
A
Lucas needs a wooden strip that is 2/3 yard long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can he cut from the 2/3 yard long strip?
B
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
C
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
D
Lucas’s kitten is 2/3 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?
Answers
They asked for area which is always L x W, which was the give away.
A keyboard is on sale for $676. If this price represents a 20% discount from the original price, what is the original price to the nearest cent?
Answers
What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)
Answers
The correct answer would be y + 2 = - 3/2 ( x - 2 )
Please mark brainliest
Round 28.26 to one decimal place
Answers
(Use 0.2 to round 8.0)
2 is less than 5 so keep the number as :
28
Hoped I helped!
G(4)=x^2 + 3
And the steps to solve, please.
Answers
G(4) = (4)^2 + 3
G(4) = 16 + 3
G(4) = 19
your answer is 19
hope this helps
G(4)=x^2 + 3
G(4) = 4^2 + 3
G(4) = 16 + 3
G (4) = 19
ryan has a board that is 5 feet long. how many 1/3-foot sections can he cut from this board?
Answers
Answer:
15
Step-by-step explanation:
Show how to multiply 6x298 using friendly numbers and then using properties and mental math. Write about which method you like better and why
Answers
You could also estimate the answer by mult. 6 and 300. The result is, of course, 1800.
anna has 12 quarters 4 dimes 11 nickels in her piggy bank. how much money is in the bank
A) $3.00
B) $3.25
C) $3.75
D) $3.95
Answers
4*0.10=0.40
11*0.05=0.55
3+0.40+0.55=$3.95
A box of popcorn weighs 15/16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh
Answers
The weight of the cheesy popcorn is 5/8 pounds.
To find the weight of the cheesy popcorn, we will calculate two-thirds of the total weight of the popcorn box, which weighs 15/16 pounds. Since the box contains two types of popcorn, buttered and cheesy, with the cheesy popcorn making up two-thirds of the box, we will simply multiply the total weight of the box by 2/3 to find our answer.
The calculation is as follows:
Total weight of the box = 15/16 pounds
Cheesy popcorn weight = (2/3) * (15/16)
Cheesy popcorn weight = (2 * 15) / (3 * 16)
Cheesy popcorn weight = 30 / 48
When simplified, this gives us 5/8 pounds
Therefore, to find the weight of the cheesy popcorn in a 15/16 pound box, calculate two-thirds of the box's total weight, which results in 5/8 pounds for the cheesy popcorn.
Which unit rates would be appropriate for describing the amount of rainfall over time?
Select each correct answer.
meters per second
milliliters per minute
centimeters per day
inches per hour
Answers
The unit rate appropriate for describing the amount of rainfall over time is centimeters per day. Therefore, option C is the correct answer.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Here,
Rainfall amount is expressed as the quotient of a unit of height and a unit of time.
The way to choose the most appropriate is the relation between both quantities.
For example, "meters per second" is a way too high unit for the height (which is usually inches or millimeters, instead of meters) and way too low for the time unit (which is usually per day, not seconds). This unit would have a really small number for any rain.
The most common unit is "centimeters per day"
Then, we should find a unit rate with a small unit for height and a large unit for time.
Therefore, option C is the correct answer.
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1.9x=3x-36 Solve for X
2. 9z+10=1-3(5-3z) How many solutions does the equation have?
3.3y+10/4=2y what is the value of Y
4.2x+4=2(x+2) What statement about the equation is true
5.4(z-5) +2 =4z-18 how many solutions does this equation have
Answers
3 * 3 = 9
36 - 9 = 27
so x = 3
2. 9z + 10 = 1 - 3(5 - 3z)
9z + 10 = 1 - 15 + 9z
9z + 10 = 9z - 14
9z - 9z = -14 - 10
0 = - 24....incorrect
This equation has no solutions....0 solutions
3. Y=2 that's your answer:
Times it by 4:
3y+10 = 2y*4
3y+10 = 8y
Move the 12y over to the other side:
10 = 8y - 3y
10 = 5y
Divide both sides by 5:
10/5 = 5y/5
2 = y
4. The equation has many solutions
5. Distribute the 4:
4z - 20 + 2 = 4z - 18
Subtract 4z
-20 + 2 = -18
-18 = -18
This is true so that means there are infinite number of solutions and z could be anything
Hope this helps!
what is the square root of 49/121?
Answers
If you multiplying by 1/4 makes a positive number smaller, then what does dividing by 1/4 do to the value of the number? Explain your reasoning
Answers
Division and multiplication are reciprocal operators.
Dividing the positive number by 1/4 will make the positive number bigger.
From the question, we understand that:
1/4 makes the positive number smaller, when it is multiplied to the positive number.
Because division and multiplication are reciprocals,
Dividing the positive number by 1/4 will make the positive number bigger.
Hence, what division does to the positive number is that: It makes it bigger
Read more about division and multiplication at:
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What is 9.187 to the nearest tenth? And hundredth and one
Answers
The 1 in 9.187 is in the tenths place and since the number after it is over 5, you round up.
Hope this helps :)
I am so stuck please explain to me how to do this. If you can do this, please do!
Directions: Write each decimal as a fraction or a mixed number.
10.9
00.8
4.125
0.0075
8.016
0.055
Answers
Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?
Answers
Answer:
Julie received $134.4 when she cashed her paycheck .
Step-by-step explanation:
Let the amount of paycheck be x
She paid $10 to her brother
She then spent $30 on fuel for her car
So, She left with amount = x-40
Now She spent half of the remaining money on a new tent for camping
Spent on camping = [tex]\frac{1}{2}(x-40)[/tex]
Remaining = [tex](x-40)-\frac{1}{2}(x-40)[/tex]
She bought a pair of running shoes for $29.45
So, Remaining = [tex](x-40)-\frac{1}{2}(x-40)-29.45[/tex]
We are given that She had $17.75 left.
So, [tex](x-40)-\frac{1}{2}(x-40)-29.45=17.75[/tex]
[tex]x=134.4[/tex]
Hence Julie received $134.4 when she cashed her paycheck .