To add these fractions, we need to find a common denominator. The least common multiple of 7, 4, and 3 is 84, so we will use 84 as the common denominator.
2/7 + (-3/4) + (-2/7) + 4/3
= (2/7) * (12/12) + (-3/4) * (21/21) + (-2/7) * (12/12) + (4/3) * (28/28) (multiplying each fraction by an equivalent form to get a common denominator of 84)
= 24/84 - 63/84 - 24/84 + 112/84 (simplifying each fraction)
= -51/84 + 112/84 (combining like terms)
= 61/84 (simplifying the resulting fraction)
Therefore, 2/7 + (-3/4) + (-2/7) + 4/3 = 61/84.
Answer:
7/12
Step-by-step explanation:
2/7 + (-3/4) + (-2/7) + 4/3
2/7 - 3/4 - 2/7 + 4/3 (+ * - = -)
2/7 - 2/7 - 3/4 + 4/3 (Distribution Property)
0 - 3/4 + 4/3
- 3/4 + 4/3
4/3 - 3/4 (Distribution Property)
LCM = 3 * 4
= 12
(16 - 9) / 12
7/12
So, the final answer is 7/12.
Hope my answer helps you ✌️
Mark BRANLIEST
What is 2x+21? Please it's due in about 15 minutes!!!
Answer:
The value of x is 21
Step-by-step explanation:
2x+21 is a linear equation with one unknown, x. To solve for x, we can use the following steps:
1. Subtract 21 from both sides of the equation. This will isolate x on the left-hand side of the equation.
```
2x+21 - 21 = x
```
2. Divide both sides of the equation by 2. This will divide both sides of the equation by 2, which will cancel out the 2 on the left-hand side of the equation, leaving x by itself.
```
x = (2x+21)/2
```
3. Simplify the right-hand side of the equation.
```
x = x/2 + 21/2
```
4. Combine like terms on the right-hand side of the equation.
```
x = (1/2)x + 21/2
```
5. Subtract (1/2)x from both sides of the equation. This will isolate x on the left-hand side of the equation.
```
x - (1/2)x = (1/2)x + 21/2 - (1/2)x
```
6. Simplify the right-hand side of the equation.
```
(1/2)x = 21/2
```
7. Multiply both sides of the equation by 2. This will multiply both sides of the equation by 2, which will cancel out the (1/2) on the left-hand side of the equation, leaving x by itself.
```
2*(1/2)x = 21/2 * 2
```
8. Simplify the right-hand side of the equation.
```
x = 21
```
Therefore, the value of x is 21.
A two-sided coin (heads/tails) is flipped once, and one card is drawn from a standard 52 deck of playing cards. Calculate the probability of each given situation, and drag the correct answer to it.
Not drawing a king-
flipping heads-
flipping heads or drawing a heart-
drawing a heart-
flipping heads and drawing a heart-
item bank
1/8
1/2
5/8
12/13
1/4
Answer:12/13
1/2
5/8
1/4
1/8
Step-by-step explanation:1)there are 4 kings in a deck so the probability of not getting them is 1-(the probability of getting them)=1-(4/52)=12/13
2)there are heads and tails so the P of getting ont of them is half=1/2
4)there are 4 suits in a deck so 52/4=13; therefore, there are 13 hearts in the deck so 13/52=1/4
5)and means multiplication, so flipping heads*drawing a heart= question 2* question 4 =1/2 * 1/4=1/8
3) its a little complicated so you can consider it as the last option possible and choose, anyways "or" means addition so add the two probabilities to get 5/8
Brianna has a decision to make on where to attend college after high school. She has a choice of living at home and attending the local junior college or attending a four-year university. She created a table to help her and her parents make the decision. The table contains the estimated costs for each semester.
At Junior College At Four-Year University
Tuition and Fees $1,800 $2,625
Room and Board $0 $3000
Transportation Costs $1000 $0
Books and Supplies $700 $700
Personal Expenses $600 $600
How much would she save the first year by attending the local junior college?
Answer: I think it would be $2825
Step-by-step explanation:
Add all of the Junior College fees and then add all of the 4-year college fees and then subtract them to find your answer.
The table shown below shows 4 different sized boxes of markers and the current price of each. The third column shows any current sales. Based on the price per marker, which box of markers is the best deal?
a. Box of 8 markers
b. Box of 12 markers
c. Box of 24 markers
d. Box of 30 markers
Answer:
i think b or c because that is kinda hard
PLS HELP ME DO THIS QUESTION PLSPLSPLS
QUESTION IS ON THE PIC BELOW
Find the area of the composite figure.
A. 82 squared ft
B. 61 squared ft
C. 40 squared ft
D. 49 squared ft
Area of rectangle
Length*Breadth10*440ft²Area of triangle
1/2*Base*Height1/2*7*63*721ft²Total area
21+4061ft²Option B
......................................
Answer:
480
Step-by-step explanation:
Please Help me! I am clueless
Suppose instead that one friend bought all 4 bags of pretzels and another friend bought all 4 drinks write an expression that shows the total cost
Answer:
4x+4y=total cost
Step-by-step explanation:
We are given that there was a total of 4 bags of pretzels and 4 drinks bought. We are also given to write an expression using x dollars for the pretzels and y dollars for the drinks.
To do this, we need to multiply the cost of each pretzel bag, x, by the total amount of bags of pretzels purchased.
4·x
=4x
Next, we need to multiply the cost of each drink, y, by the total number of drinks purchased:
4·y
=4y
The question is asking us to write an expression, so put 2 and 2 together:
4x+4y=total cost
Given the actual question, "Suppose instead..." the expression would be the same.
Hope this helps! :)
The equation shown describes a relationship between x and y.
y = 5x + 2
If the value of x increases by 1, what is the corresponding increase in the value of y?
y should increase by five every time
5x is just a multiple 5 but without knowing how many tines your multiplying. Now we know that x increases by 1 each time, so it should just be normal multiplying. 5(1) = 5, 5(2) = 10, 5(3) = 15 and so on. It's a constant increase of 5.
sdadagsdsdad please help meeeeeeeeeee
Please help me out on this one NEEDED IN 30-40 MINS
Answer:
Sales tax is $2.70.
Hope this helps
theta is a right angled triangle tan theta= 23/52 work out the value of theta give your answer to 1 decimal place
Answer:
θ = 23.9°
Step-by-step explanation:
tan θ = 23/52
θ = arc tan (23/52)
=23.86°
= 23.9° to one decimal place
help me Please asap in inserted the picture NUMBER 6 BTW
Answer:
The length is 192ft
Step-by-step explanation:
To find the length you have to find the scale used to draw the image which would be the width given divided by the width in yards then multiply the given length by the scale to get the length in yards.
Hope this helps :)
A peregrine falcon can dive at the speed of 320km/h. Create a problem that you can solve by finding an equivalent rate for this speed. Then solve the problem.
Question: A peregrine falcon can dive at the speed of 320km/h. How many kilometres can the bird traveling in a minute?
Answer: 5 1/3 kilometres per minute
320 ÷ 60 would convert the hours to minutes and so you get 5 1/3 kilometres per minute (kpm).
Question 7!!!
Total area= area of parallelogram + area of trapezoid
The total area of the figure is 52 square feet by adding the areas of the parallelogram and trapezoid
Calculating the total areafrom the question, we have the following parameters that can be used in our computation:
parallelogram and trapezoid
Wher we have
Area of parallelogram = 7 * (6 - 2)
Area of parallelogram = 28
Also, we have
Area of trapezoid = 1/2 * (7 + 5) * 4
Area of trapezoid = 24
So, we have
total area = 28 + 24
total area = 52
Hence, the total area is 52 square feet
Read more about area at
https://brainly.com/question/24487155
#SPJ1
how do i simplify an improper fraction
58 children are taking a bus to the zoo 2 children sit in every seat how many seats will the children need in all
Divide 58 and 2.
The answer will be 29.
Here’s a box plot that summarizes the average monthly rainfall of several cities. Find the range of the data.
Answer:4
Step-by-step explanation:
HELP PLS 25 PTS GIVE EXPLANATION ON ANSWER PLS
A 25-foot magazine rack begins 20 feet south of the checkout desk and continues south. What are the coordinates of the beginning and end of the magazine rack? Explain or show how you got your answer. ANSWER CORRECTLY WITH AN EXPLANATION
Answer: The coordinates of the beginning of the magazine rack are (0,-20), and the coordinates of the end of the magazine rack are (0,-45).
Explanation:
The magazine rack begins 20 feet south of the checkout desk, so its starting point is 20 feet below the x-axis. This gives us the coordinates (0,-20) for the beginning of the rack. Since the rack is 25 feet long, it extends 25 feet to the south of its starting point. Therefore, the endpoint of the rack is 20 feet (the starting point) minus 25 feet (the length of the rack), or -5 feet south of the checkout desk. This gives us the coordinates (0,-45) for the end of the rack.
Brainliest?
I have to hurry and do this but don't know how
Jade has charged $500.00 on her credit card with a monthly interest rate of 14%. How much will she owe after 5 months simple interest? Include two decimal places in your answer.
Answer:581.39
Step-by-step explanation:
help pls will give brainliest
Answer:
s = 7
Concept Used:
Linear pair axiom
Step-by-step explanation:
(6s-8) + 90 + 8s = 180 (Linear pair axiom)
14s = 98
s = 7
Answer:
7
Step-by-step explanation:
The 3 angles are on a straight line, meaning the angle is 180°.
We know that one angle is 6s-8°, another is 8s°, and the middle angle is 90° because of the small box.
We can set up an equation to find s:
6s-8+8s+90=180
simplify
14s+82=180
subtract 82 from both sides
14s=98
divide both sides by 14
s=7
Hope this helps :)
This is complicated and I need help
Joseph has a fair dice with 4 faces numbered 1 to 4.
He also has a fair dice with 6 faces numbered 1 to 6.
He rolls both dice.
Find the probability of rolling a different number on each dice.
Answer:
To find the probability of rolling a different number on each dice, we can determine the total number of possible outcomes and the favorable outcomes.
The total number of possible outcomes when rolling a 4-sided die and a 6-sided die is the product of the number of sides on each die: 4 × 6 = 24.
The favorable outcomes occur when we roll a different number on each die. We can calculate this by considering all the possible combinations.
For the first die (4-sided), there are 4 possible outcomes.
For the second die (6-sided), there are 6 possible outcomes.
Since we want different numbers on each die, the total number of favorable outcomes is 4 × 6 = 24.
Therefore, the probability of rolling a different number on each die is:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Probability = 24 / 24
Probability = 1
Hence, the probability is 1 or 100%.
Use the table to determine the relationship between yards and feet.
Yards Feet
1 3
2 ?
3 ?
4 ?
Which of the following graphs matches the relationship shown in the table?
A. Y
B. Z
C. W
D. X
Answer: Y
Step-by-step explanation:
Remember: 1 yard = 3 feet. Consider this for all the choices!!
W starts at (0, 1) making it automatically incorrect as 0 yards cannot equal a foot, it equals zero feet.
X has a point marked (1, 0) making it automatically incorrect as 1 yard does not equal to 0 feet.
Z starts with the point (0, 3) making it automatically incorrect as 0 yards cannot equal 3 feet,
Y does not have any incorrect points, and properly illustrates that 1 yard is equal to 3 feet with the points provided, Y is correct
-4y = 72
Horozontal or vertical??
Answer:
horizontal
Step-by-step explanation:
You want to know if the equation -4y = 72 describes a horizontal or vertical line.
Constant equationThe equation reduces to ...
-4y = 72
y = -18 . . . . . . . . divide both sides by -4
The points on a graph that have y-coordinate -18 will form a horizontal line. They are all 18 units below the x-axis. The line is parallel to the x-axis.
__
Additional comment
The equation x = constant describes a vertical line.
If you are in doubt, you can always graph the equation with your graphing calculator.
I dont need an answer I just need help.. The picture below, is it just 9x9 and like 6x6 or is it 9x2 and 6x2? And then the answer would be c x 2 or c x c?
Answer: 45
Step-by-step explanation:
Pythagorean Theorem is a^2+b^2=c^2
In this case it would be 9^2-6^2 which is 45
Answer:
In this case, it would be 9x9 and 6x6
Step-by-step explanation:
The ² in the problem means to multiply the number by itself, like 9x9. It's called the square.
a² + b² = c²
eg.
(a x a) + (b x b) must be = (c x c)
c = hypotenuse which means it is the longest part, which is why it is a² + b² = c²
The person's answer before me is also right
Hope this helps! :)
Which number sentence is true?
Answer:
1. B 2. D 3. C
Step-by-step explanation:
There are 4 figures shown. The first figure has a 1 dot, the second has 3 dots, and the third figure has 6 dots, and finally, the fourth one has 10 dots.
If the following pattern continues, how many more dots are there in Figure 100 than in Figure 98?
(Offering 30points for this question for Math Olympiad! Thank you! <3)
Answer:
Figure100=5050dots Figure98=4851