To solve -5/6 + (-1/12), convert both to have a common denominator of 12, resulting in -10/12 + (-1/12). Add the numerators to get -11/12. The sum of two negative fractions maintains a negative sign.
Explanation:To find the answer to the problem -5/6 + (-1/12), we need to add the two fractions. When adding fractions with different denominators, we first find a common denominator. In this case, the common denominator for 6 and 12 is 12. We then convert each fraction to an equivalent fraction with this common denominator.
For the first fraction -5/6, we multiply both the numerator and the denominator by 2 to get -10/12. The second fraction is already with a denominator of 12, so we keep it as -1/12. Now, we add the numerators while keeping the denominator the same:
-10/12 + -1/12 = -11/12. The sum of the two fractions is -11/12, which is already in simplest form.
This example demonstrates that when two negative numbers add, the answer has a −ve sign, and the numerators are simply added together while the denominator remains the same.
Line segment QR is dilated to create line segment Q'R'
using the dilation rule Dt, 1.5
What is y, the distance between points R and R?
3 units
4 units
6 units
9 units
Answer:
The distance between R and R' is 3 units ⇒ 1st answer
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same
shape as the original, but in a different size.
If the image is larger than the original figure then dilation is called an
enlargement.
If the image is smaller than the original figure then the dilation
is called a reduction.
The image of a line by dilation parallel to the original line if the original
line not passes through the center of dilation.
Line segment QR is dilated to create line segment Q'R'
∴ QR is parallel to Q'R'
The factor of dilation is 1.5
∴ The length of Q'R' is 1.5 the length of QR
In Δs TRQ and TR'Q'
∵ QR // Q'R'
∴ m∠TRQ = m∠TR'Q'
∴ m∠TQR = m∠TQ'R'
∵ ∠T is common in the two triangles
∴ ΔTRQ is similar to ΔTR'Q'
∴ [tex]\frac{TR'}{TR}=\frac{R'Q'}{RQ}[/tex]
∵ [tex]\frac{Q'R'}{QR}=1.5[/tex]
∵ TR' = TR + y
∵ Tr = 6 units
∴ TR' = 6 + y units
∵ [tex]\frac{TR'}{TR}=\frac{6+y}{6}[/tex]
∴ [tex]1.5=\frac{6+y}{6}[/tex]
Multiply both sides by 6
∴ 9 = 6 + y
Subtract 6 from both sides
∴ 3 = y
* The distance between R and R' is 3 units
Answer:
3 Units on edge
Step-by-step explanation:
what is 7 plus the sum of m and -17
Answer:
m - 10
Step-by-step explanation:
7 plus = 7 +
The sum of m and -17 = m + (-17)
7 + (m + -17)
We can get rid of the parentheses
7 + m + -17
Combine like terms
7 + -17 = -10
m + -10
Get rid of the addition sign
m - 10
What would the equation be if the sum of t and 2 is equal to 5 less than t
Answer:
[tex]t=\frac{3}{2}[/tex]
Step-by-step explanation:
1.
[tex]t+2=5-t[/tex]
2.
[tex]2t+2=5[/tex]
3.
[tex]2t=3[/tex]
4.
[tex]t=\frac{3}{2}[/tex]
The sale price of an item with a 33% discount on its list price L
The sale price of an item with a 33% discount is calculated by subtracting 33% of the list price from the list price itself. The equation for such a calculation is Sale Price = L - (33/100)*L.
Explanation:The question is dealing with the calculation of a discount on an item's list price. When an item has a list price 'L' and the discount rate is 33%, you would calculate the sale price by subtracting 33% of the list price (L) from the list price itself. It is given by the equation Sale Price = L - (33/100)*L. This calculation will give you the final price that needs to be paid for the item after the application of the discount.
Learn more about Discount Calculation here:https://brainly.com/question/35988155
#SPJ2
Below are the graphs of the functions y = 2x and y = 3x. What is the same about both lines?
They each have the same steepness.
They are parallel.
They start at the origin.
They rise upward to the right.
Answer:
Step-by-step explanation:
They start at the origin.because : when x = 0 y= 2(0) =0 and y=3(0)=0
Answer:
all are right
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
Find the inverse function for f(2)= square root of 2x - 6.
Answer:
y = ( x^2 / 2 ) + 3
Step-by-step explanation:
Swap x and y, then isolate y to find a function's inverse
x = sqrt ( 2y - 6 )
x^2 = 2y - 6
x^2 + 6 = 2y
( x^2 / 2 ) + 3 = y
y = ( x^2 / 2 ) + 3 is the final answer.
A new crew of painters takes two times as long to paint a small apartment as an experienced crew. together, both crews can paint the apartment in 4 hours . how many hours does it take the experience crew to paint the apartment
Answer:
Step-by-step explanation:
Let the inexperienced crew do the apartment in x hours.
Therefore it takes the experienced crew x/2 = 0.5x hours to do the same place.
x + 0.5x = 4 hours
1.5x = 4 hours
x = 4/1.5
x = 2.67 hours.
So the inexperienced crew does the job in 2.67 hours.
The experienced crew can do it 1/2 the time which is 1.335
Total time = 4 hours.
Answer:
4 hours
Step-by-step explanation:
I got it correct so...
What is 12 divided by 3/4
The rule for division by a fraction is "change to multiplication by the reciprocal."
So you want(4/3)(12) which is 4(4) = 16
[tex]\bf 12\div \cfrac{3}{4}\implies \cfrac{12}{1}\div\cfrac{3}{4}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 16[/tex]
Which is a better deal crayola crayons $6.97 for 120 crayons or rose art crayons $1.53 for 24?
Answer:
Crayola crayons for 6.97 dollars
Step-by-step explanation:
This is because there would only by 78 crayons in the other crayola box. I know this because you divide 120 by 1.53
Probs wrong but I tried
Answer:
6.97 for 120
Step-by-step explanation:
if you divide the number of crayons in the package by the amount of money you pay for it, they it shows you how many crayons you will get for one dollar. for the 120 for 6.97 its 17 crayons for a dollar and for the 24 for 1.53 its 12 for a dollar
17_2_3_8=3 insert + - × or ÷ symbols to make each statement true
Answer:
17-2*3-8=3
Step-by-step explanation:
We have given:
17_2_3_8=3 insert + - × or ÷ symbols to make each statement true?
Solution:
We will insert multiplication sign between 2 and 3 and then subtract all the terms
17-2*3-8=3
We will solve it according to the DMAS rule:
DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.
Lets solve the expression and check whether the L.H.S = R.H.S
17-2*3-8=3
17-6-8=3
11-8=3
3 =3
Be sure to multiply first and then subtract
⇒You can also insert addition sign in place of multiplication. It will give the same answer
Answer:
17 - 2 × 3 - 8 = 3 ⇒ (- , × , -)
Step-by-step explanation:
Lets revise the order of operation
# Multiplication and Division which comes first from left to right
# Addition and Subtraction which comes first from left to right
Lets explain how to solve the problem
17 __ 2 __ 3 __ 8 = 3
We want to use + , - , × or ÷ symbols to make the statement true
Lets try to find the correct operations
∵ The answer is smaller than all the numbers in the statement
∴ There is subtraction
∵ 17 - 2 = 15
∵ 15 - 3 = 12
∵ 12 - 8 = 4 which is not the answer
Then lets multiply 17 , 2 and multiply 3 , 8 and subtract their results
∵ 17 × 2 = 34
∵ 3 × 8 = 24
∵ 34 - 24 = 10 which is not the answer
Then lets multiply 2 , 3 and then subtract the result from 17 and then
subtract 8 from the last result
∵ 2 × 3 = 6
∵ 17 - 6 = 11
∵ 11 - 8 = 3 which is the answer
∴ 17 - 2 × 3 - 8 = 3
∴ The symbols are - , × , -
You are trying to decide between two job offers. You find the best option is to take the highway to work. That route is
calculated for driving at an average speed of 65 miles per hour. You would like to keep your morning commute down to less than 30
minutes. What is the farthest distance you can travel to work within the allowable time?
Answer:
32.5 miles
Step-by-step explanation:
The average speed is 65 miles per hour.
You want to keep your commute within 30 minutes, which is HALF AN HOUR.
THus, if you can go 65 miles AN HOUR, in HALF AN HOUR, you can go max, HALF OF THAT!!
So, [tex]\frac{1}{2}*65=32.5[/tex]
Thus, you can go 32.5 miles, max
Answer:
The farthest distance would be 32.5 miles
Step-by-step explanation:
Given,
Speed = 65 miles per hour,
If t represents the time ( in hours ) taken in travelling,
Since, time has to commute down less than 30 minutes,
Also, 1 hour = 60 minutes,
[tex]\implies 1\text{ minute}=\frac{1}{60}\text{ hour}[/tex]
[tex]\implies 30\text{ minutes}=\frac{30}{60}=\frac{1}{2}\text{ hour}[/tex]
Thus,
[tex]t\leq \frac{1}{2}[/tex]
i.e. the highest time taken = 1/2 hours,
We know that,
Distance = speed × time,
∵ Distance ∝ time,
⇒ Distance will farthest for largest time taken,
Hence, the farthest distance = [tex]65\times \frac{1}{2}[/tex] = 32.5 km.
find endpoint with given endpoint and midpoint
Answer:
(21, 17 )
Step-by-step explanation:
Using the midpoint formula and equating to the coordinates of the midpoint.
Let endpoint 2 have coordinates (x, y ), then
0.5(x - 3) = 9 ( multiply both sides by 2 )
x - 3 = 18 ( add 3 to both sides )
x = 21
and
0.5(y - 5) = 6 ( multiply both sides by 2 )
y - 5 = 12 ( add 5 to both sides )
y = 17
endpoint 2 = (21, 17 )
20% of the 6th graders are in the play. If
32 students are in the play, how many 6th
graders are in the play?
Answer:
6
Step-by-step explanation:
32×20%
32×.20
6.4
round it to 6
Answer:
6
Step-by-step explanation:
32×20%
32×.20
6.4
round it to 6
CD contains the points C at 4, D at 0, and E at 2.
What is the ratio of CD to DE? Complete the
statements using the number line.
The length of CD is units
The length of DE is units
The ratio of CD to DE is
Answer:
the length of CD is 4
the length of DE is 2
the ratio of CD to DE is 2:1
Step-by-step explanation:
The length of segment CD is 4 units and segment DE is 2 units. The ratio of CD to DE is 2:1.
Explanation:To solve this problem, remember that points on a number line correspond to numbers and the lengths between the points correspond to the differences between these numbers.
The segment CD stretches from 0 to 4, hence the length of CD is 4 units.
The segment DE stretches from 2 to 0, hence the length of DE is 2 units.
However, since length cannot be negative, we take the absolute value of -2, which gives DE = 2 units.
Now, to find the ratio of CD to DE, we simply divide the length of CD by the length of DE.
The ratio of CD to DE can be found by dividing the length of CD by the length of DE. So, the ratio is 4/2 = 2.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ2
the owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. Write and solve an absolute-value equation to find minimum and maximum acceptable temperatures
Answer:
[tex]|x+5|=1.5[/tex]
is the equation describing minimum and maximum acceptable temperatures.
The minimum temperature could be [tex]-6.5^{\circ}[/tex]
and the maximum temperature could be [tex]-3.5^{\circ}[/tex]
Step-by-step explanation:
The owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. So, the minimum temperature could be
[tex]-5^{\circ}-1.5^{\circ}=-6.5^{\circ}[/tex]
and the maximum temperature could be
[tex]-5^{\circ}+1.5^{\circ}=-3.5^{\circ}[/tex]
Let [tex]x^{\circ}[/tex] be acceptable temperature of freezer. The difference between the acceptable temperature and given temperature [tex]x-(-5)=x+5[/tex] cannot be more than 1.5° and less than 1.5°, so
[tex]|x+5|\le 1.5[/tex]
Then
[tex]|x+5|=1.5[/tex]
is the equation describing minimum and maximum acceptable temperatures.
Solve it:
[tex]x+5=1.5\text{ or }x+5=-1.5\\ \\x=1.5-5\text{ or }x=-1.5-5\\ \\x=-3.5\text{ or }x=-6.5[/tex]
Given the fuction h (x) = x^2 + 2x -3, find the value of h (2) - h (-4)
Answer:-
0
Step-by-step explanation:
h(x) = x^2 + 2x -3
x = 2
h(2) = 2^2 + 2(2) - 3
h(2) = 4 + 4 - 3
h(2) = 8-3
h(2) = 5
x = - 4
h(-4) = (-4)^2 + 2(-4) - 3
h(-4) = 16 - 8 - 3
h(-4) = 16 - 11
h(-4) = 5
========
h(2) - h(-4)
5 - 5
0
There are 12 sections in the stadium. Each section of the stadium can seat 1500 people.what is the total seating capacity of the stadium
Answer:
18000
Step-by-step explanation:
12 x 1500
=18000
Have a nice day!!!!!!! :-)
KA
Answer:
18,000 people.
Step-by-step explanation:
To solve this, you would use multiplication. So your problem would be:
12*1500=?
The answer to this is 18000.
So, the seating capacity of the stadium is 18000 people.
Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know.
Answer:
Less than 1
Step-by-step explanation:
As 0.644 and 0.25 are less than 1, then
[tex]0.644=\frac{1}{p}[/tex]
[tex]0.25=\frac{1}{q}[/tex]
where p and q are greater than 1
then
[tex]0.644\times0.24=\frac{1}{p.q}[/tex]
But p.q is greater than 1, so 1/(p.q) is smaller than 1
Answer:
Less than 1
Step-by-step explanation:
Both the number are less than 1, i.e 0.64 and 0.25.
Hence, the result will always be less than 1 and will be in zeros.
If you write both numbers in fraction, the denominator will be greater than the numerator, hence the resulting fraction will be less than 1.
Hope this helps.
Good luck and thankyou.
x/7=3/2 solve equation, check solution
Answer:
Step-by-step explanation:
X/7=3/2 multiply by : 5
x = 21/2
2X + 4 = 14
what is X
Hello!
2X + 4 = 14
X = 5
2 * 5 = 10
10 + 4 = 14
I hope this helps, and have a nice day!
In order to get the answer to this question you will have to subtract four on both sides then divide ten by two to get your answer.
[tex]2x+4=14[/tex]
[tex]-4 -4[/tex]
[tex]14-4=10[/tex]
[tex]2x=10[/tex]
[tex]10\div2=5[/tex]
[tex]x=5[/tex]
Therefore the answer is "x=5."
Hope this helps
How to simplify 16+7y-8
Answer:
the answer would be 7y+8
Step-by-step explanation:
16 + 7y - 8
so you'll group like terms like this
7y + 16 - 8
then you will Add/Subtract the numbers
so 16 - 8 = 8
solve that then add in 7y and you get your answer :)
7y + 8
The simplified form of the expression is 8 + 7y.
How to simplify the expressionTo simplify the expression 16 + 7y - 8, you combine like terms by adding or subtracting the coefficients of the same variables. In this case, the constant terms (16 and -8) can be combined, and the term with the variable (7y) remains the same.
To simplify the expression, we combine the like terms, which means we add or subtract the coefficients of the same variables.
16 + 7y - 8 simplifies to:
(16 - 8) + 7y = 8 + 7y
The simplified form of the expression is 8 + 7y.
Read more on mathematical expressions here https://brainly.com/question/1859113
#SPJ6
-9h - 15 = 93. What is “h”?
Answer:
answer is below
Step-by-step explanation:
h=-12
a cube has a side length of 20 in. find the volume.
Answer:
20³ in = 8000 inches³
Step-by-step explanation:
The formula to find the volume of a cube is s³
Whats the halfway point from 32 to 16?
Mallie
Date
8. Travel Times Journal found that the average per person cost of a
ound that the average per person cost of a 10-day trip along the Pacific
Coast, per person, is $1,015. This includes transportation, food, lodging, and entertainment.
a. If the data is normally distributed with standard deviation $198, find
ard deviation $198, find the percent of
Vacationers who spent less than $1.200 per day. Round to the nearest hundredth of a
percent.
Answer:
82.38%
Step-by-step explanation:
Average cost = u = $ 1,015
Standard Deviation = [tex]\sigma[/tex] = $ 198
Its given that data is normally distributed. We have to find what percentage of vacationers spend less than $ 1200.
Since the data is normally distributed, we can use the concept of z score to answer this question.
We have to find:
Probability ( Spending < 1200)
In symbolic form, this can be represented as:
P(X < 1200)
The formula for the z score is:
[tex]z=\frac{x-u}{\sigma}[/tex]
Using the values in this formula, we get:
[tex]z=\frac{1200-1015}{198}=0.93[/tex]
Thus,
P(X < 1200) is equivalent to P(z < 0.93)
From the z table we can find the probability of z scores being less than 0.93 to be 0.8238
Thus,
P(z < 0.93) = 0.8238
Since,
P(X < 1200) = P(z < 0.93), we can conclude:
The percent of Vacationers who spent less than $1,200 is 0.8238 or 82.38%
Divide each term in the equation –3y = –6x + 15 by –3 to solve for y. What is y?
A. y = -2x -5
B. y = -2x + 5
C. y = 2x - 5
D. y= 2x + 5
Answer:
C. y = 2x - 5
Step-by-step explanation:
–3y = –6x + 15
____ _________
–3 –3
y = 2x - 5
I am joyous to assist you anytime.
solve the equation: x-9/10= -7. show all steps.
Answer:
-61
Step-by-step explanation:
[tex]\frac{x-9}{10} = -7[/tex]
[tex]x-9= -7(10)[/tex]
[tex]x-9= -70[/tex]
[tex]x= -70 + 9[/tex]
[tex]x= -61[/tex]
A cube has edge length s units. Use an exponent to write an expression for its volume
Answer:
s[tex]s^{3}[/tex]
Step-by-step explanation:
A cube's volume is its length * width * height. Its length, width, and height are all equal to s.
A cube's edge length is another word for its side length, which is the same for every edge in the cube.
To write the equation for the volume with s substituted for length, width, and height, we get that volume = s[tex]s^{3}[/tex].
Which of the following statements is true concerning ABC below?
A. B is the largest angle.
B. B is the smallest angle
C. A is the largest angle
D. A is the smallest angle
Answer:
D. A is the smallest angle
Step-by-step explanation:
Angle A's lines are closest together
Answer:
D. A is the smallest angle
Step-by-step explanation:
To answer this question properly, we need to remember that the sum of the three angles, in a triangle, must result in 180º. Besides, each leg of this triangle is in the opposite direction to the angle of its vertex.
Finally, with the help of a compass we can demonstrate it even better, but in short, the larger the leg the larger the angle. So, ∠A is the smallest angle since a measures 7 units, then comes ∠B for b measures 10 units and ∠C as the largest angle for c measures 12 units.
What is a number that is 10 times greater than 41,532
Answer:
415320
Step-by-step explanation:
According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 413520 [four hundred thirteen thousand, five hundred twenty].
I am joyous to assist you anytime.