Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions
(1/3) ² +1 and 2 - 8/9
(1+ 1/5)^2 and 2
16/25
Equations are expressions with equal values
(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign(a) (1/3) ² +1 and 2 - 8/9
Rewrite as:
[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]
Evaluate the exponent
[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]
Take LCM
[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]
[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]
Simplify
[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]
Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
(b) (1+ 1/5)^2 and 2 16/25
Rewrite as:
[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]
Take LCM
[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]
[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]
[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]
Rewrite as:
[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]
Hence, (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
Read more about equations at:
https://brainly.com/question/13636476
Answer:
(1/3)^2 + 1 and 2 - 8/9 : Yes
(1 + 1/5)^2 and 2 - 16/25 : No
Working alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?
Answer:
ten hours for them to get the job done completely without any hesitation.
Step-by-step explanation:
i studied it
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Nick wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 6.5%.
Calculate the amount of sales tax Nick will pay on the purchase. Round to the nearest cent if necessary.
sales tax: $
Part B
Fill in the blank question.
How much will Nick pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.
total cost: $
Answer:
Step-by-step explanation:
A) $155.75(0.065) = 10.12375 = $10.12
B) $155.75 + $10.12 = $165.87
The ratio of trees to shrubs is 5:2. How many shrubs are there for 30 trees?
Answer:
30:12
Step-by-step explanation:
The beginning ratio is 5:2, trees to shrubs.
For every five trees, there are two shrubs.
So here is how we are going to solve the problem, since we are trying to figure out the amount of shrubs for 30 trees, we are going to divide 30 by 5 then once we've found out the quotient, we are going to multiply the quotient by two to get our amount of shrubs.
30 ÷ 5 = 6
6(2)=12
To conclude, for 30 trees there are 12 shrubs.
Solve for the value of q.
Answer:
q=13
Step-by-step explanation:
(8q-5)°+81°=180° (angles on a str line)
8q-5+81=180
8q=180+5-81
=104
q=104÷8
=13
Using supplementary angle theorem
[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]
[tex]\\ \sf\longmapsto 8q+76=180[/tex]
[tex]\\ \sf\longmapsto 8q=104[/tex]
[tex]\\ \sf\longmapsto q=13[/tex]
Juan is paid a salary of $2400 biweekly. Find Juan's earnings per year. (use only numbers) $
ху
02
(2 4
3 5
4 6
--)
2) Which function represents the relationship between x and y?
A) y = x + 2
By - 2x
ay-x+ 4
D) y = x-2
Answer:
2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables
Step-by-step explanation:
8. Of the 400 employees, 5% of them are managers. How many managers does the zoo employ?
1. How do you know if you should multiply or divide when converting measurements?
Step-by-step explanation:
when using similar processes to converting from smaller to large units. When converting a large unit to a smaller one, you can multiply;when you convert a smaller unit to large one, you can divide.
evans uncle bought 2 1/4 pounds of hamburger meat and used 1/3 of it to make lunch. How much hamburger meat did evans uncle use to make lunch?
Answer/Step-by-step explanation:
To find the answer subtract 2 1/4 by 1/3
There are 30 pens in a box.
12 of the pens are black.
7 of the pens are green.
The rest of the pens are red.
One of the pens is chosen at random.
Find the probability that the pen is red.
Step-by-step explanation:
30-(12-7)= red pens
30-19
11
Probability=
11/30
Terrence has 100 points out of 200 possible points in his Geometry class.
A. Determine his grade as a percentage and letter grade. Explain how you determined this.
B. Calculate how many more points Terrence needs to be passing. Explain how you calculated this.
Answer:
A. Letter Grade: F
Percentage: 50%
100 is half of 200
B. 20 more points
Step-by-step explanation:
A. 100 is half of 200, and 50% is half of 100%.
B. 60% is a D, but it is still passing. Sine 200=100 x 2, we need to multiply 60 x 2. 60 x 2=120
Evaluate −|a| when a=60.
Answer:
-60
Step-by-step explanation:
Any number within the absolute value sign is always positive.
−|60|
- x 60 Negative sign times 60
=-60
Hope this helps :)
Identify which graph below contains the coordinate points (–3, 4),(–2, 0), and (0, –8). Select all that apply.
Answer:
A, C, D
Step-by-step explanation:
All of the plot curves contain (0, -8) and (-2, 0)
B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.
Answer:
Graph A , B, and D
Step by-step explanation:
All the points are one these three graphs.
find the value of -3/8 x 8/15=
we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5
ok done. thank to me :>
what number multiplied by 5 9 has a product of 1
There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 play attack only. Represent the information on a Venn diagram and find number of players who play all the three positions
Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...
Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.
find the volume……,,..,,,,,…,,,,..
Answer:
I am pretty sure the answer is 27.02.
Step-by-step explanation:
Hope this helps!
50 points! Help (Vectors)
Answer:
its 18.4
(not sure btw)
The sum of two numbers is 72 and their difference is 40. Using elimination method
Answer:
here's what we know:
a + b = 72
a - b = 26
We can use the elimination method to solve this problem:
a + b = 72
a - b = 26
---------------
2a = 98
Divide both sides by 2:
a = 49
So we now have:
49 + b = 72
and:
49 - b = 26
Subtract 49 from both sides:
b = 23
and
-b = -23 (multiply both sides by -1) → b = 23
Step-by-step explanation:
HELP ME OUT PLEASE!
How many total atoms of Nitrogen are shown in the formula below?
O 2
O 4
O 6
O 8
Answer:
A) 2
Step-by-step explanation:
It shows it in the formula.
Pete worked 44 hours and 30 minutes on his new job. He makes $9.86 per hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?
Answer:
$460.955 ≈ $460.96
Step-by-step explanation:
A work week is 8 hours × 5 days = 40 hours per week. Pete worked 44 hours and 30 minutes which is 44.5 hours. This tells you that Pete worked 40 hours at regular paid and 4.5 hours of overtime at a rate is his amount per hour plus half of his amount per hour). So Pete earns $14.79 per hour for overtime rate ($9.86 + $4.93 = $14.79) .
Earning for the week: 40 × $9.86 + 4.5 × $14.79
= $394.40 + $66.555
= $460.955 ≈ $460.96
there are 5 major train tracks from city x to city y and 3 major train tracks from city y to city z. how many trips can be made from city x to city z, passing through city y?
Answer:
3 trips
Step-by-step explanation:
I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips
In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to
Answer:
L is equal to 0.25.
Do you want me to put an explanation?
What is the value of w?
Answer: b = 89
Step-by-step explanation:
1. Use Supplementary Angles
180 - (b + 33)
180 - b - 33
147 - b
2. The Angles in a Triangle add up to 180.
147 - b + b - 7 + b - 49 = 180
91 + b = 180
b = 89
Hope it helps :) and let me know if you want me to elaborate.
Write the equation of a line that has a
slope of 7, and passes through the
point (-2,5). Show your work.
Answer: Y=7x+19
Step-by-step explanation:
got no time for explain hope this helper
9514 1404 393
Answer:
y -5 = 7(x +2)
Step-by-step explanation:
Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)
__
Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y
y -5 = 7x +14 . . . . . . . . eliminate parentheses
y = 7x +19 . . . . . . . . . . add 5 to both sides
__
In standard form, the same line has equation ...
7x -y = -19
The current temperature is 10 °C. Convert this to °F.
Answer:
50 F
Step-by-step explanation:multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit
Answer:
50 °F
Step-by-step explanation:
(Temperature in °C * (9/5)) +32 is the formula to convert from Celsius to Fahrenheit
you can also use G o o g l e btw :)
If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y
−
x
)
Answer:
8
Step-by-step explanation:
x =2, y=6
2(y-x)
#subsitute the variables with their values
2*(6-2)
2*4
8
Alternative(don't do it this way, it's unnecessary but it can be done):
x =2, y=6
2(y-x)
2y - 2x
(2*6) - (2*2)
12 - 4
8
20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.
0.9500
0.5580
0.0401
0.0002
Answer:0.5580
Step-by-step explanation:
The probability that a man will be alive in 25 years is 3/5. and the probability that his wife will be alive is 2/3. Determine the probability that in 25 years:
a. both will be alive
b. at least one will be alive
c. only the wife will be alive
Answer:
e
Step-by-step explanation:
chicken nuggets
A) 6/25
B) 13/15
C) 4/15
Explanation:
A) P(both will be alive) = (3/5)(2/5) = 6/25
B) P(at least one will be alive) = 1-P(both die) = 1-(2/5)(1/3) = 13/15
C) P(only the wife will be alive)=(2/5)(2/3) = 4/15