Victor and Ryan are identifying a rational number from the following: -3, 1.9, and 1/2. Victor says that all the numbers are rational however, Ryan says that only 1.9 and 1/2 are rational numbers. Who is correct?
A). Victor is correct because -3 is an integer, 1.9 is a terminating decimal and 1/2 is a fraction.
B). Ryan because 1.9 is a terminating decimal and 1/2 is a fraction.
C). Both Victor and Ryan
D). Neither Victor or Ryan
What is the measure of ∠GJH?\
A. x = 19
B. x = 23
C. x = 48
D. x = 56
Answer:
x = 19
Step-by-step explanation:
x + (x + 4) + (3x - 9) = 90°
Combine like terms
5x - 5 = 90
Add 5 on both sides
5x = 95°
Divide 5 on both sides
x = 19
Create an equivalent expression for 1.6 cubed over 1.7 raised to the fourth power all raised to the power of negative seven. 1.6 raised to the fourth power over 1.7 cubed 1.7 raised to the twenty eighth power over 1.6 raised to the twenty first power 1.7 cubed over 1.6 raised to the fourth power 1.6 raised to the twenty first power over 1.7 raised to the twenty eighth power
Answer:
1.7 raised to the twenty eighth power over 1.6 raised to the twenty first power
Step-by-step explanation:
Let's translate the wording to math form:
Worded question is:
1.6 cubed over 1.7 raised to the fourth power all raised to the power of negative seven
Break it down into parts to make it easier to understand
Simplify the above term. When a term with an exponent is raised to another exponent, then the resulting exponent is the product of the two exponents
\(\implies \left(\dfrac{1.6^{3}}{1.7^{4}}\right)^{-7} = \left(\dfrac{1.6^{-7 \cdot 3}}{1.7^{-7 \cdot 4 }}\right) = \dfrac{(1.6)^{-21}}{(1.7)^{-28}}\)
For negative exponents we have the rule
\(x^{-a} = \dfrac{1}{x^a}\)
So, in this case since both numerator and denominator have negative terms , we simply switch them to get
\(\dfrac{(1.7)^{28}}{(1.6)^{21}}\\\\\)
In words we can express this mathematical form as:
1.7 raised to the twenty eighth power over 1.6 raised to the twenty first power
Which is the answer.
Choices are not labeled and formatting is lost in your question so I cannot tell you which choice it is
(-3 +1/2x) + (1 +1/6x)
help i need this today!!!!!deadline by 12:00am
Answer:
2/3 (x - 3)
Step-by-step explanation:
hope this helps =)
2/3 (x-3)
Step-by-step explanation:
hope that helps!
Please Help!
50 points!
But DO NOT waste my points.
I will report you.
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 3y + 4z = 1
Which of the following is a possible step used in eliminating the y-term?
a. (y + z = 6) ⋅ 4
b. (3y + 4z = 1) ⋅ 4
c. (y + z = 6) ⋅ −3
d. (3y + 4z = 1) ⋅ 3
Answer:
c. (y + z = 6) ⋅ −3
Step-by-step explanation:
We want to use elimination to eliminate y in a system of equations
y + z = 6
3y + 4z = 1
We can take the first equation and multiply by -3 to make the y term -3 so when we add the equations -3y + 3y =0
-3(y + z = 6)
3y + 4z = 1
--------------------
-3y -3z = -18
3y + 4z = 1
---------------------
0y +z = -17
Answer:
c. (y + z = 6) ⋅ -3
Explanation:
Equation P : y + z = 6
Equation Q : 3y + 4z = 1
In order to solve by elimination and remove the y-term, the coefficients of y must be same or negative to each other in both the equations.
So to make the y co-efficient similar here, multiply the first equation by -3
When done: (y + z = 6) · -3 = -3y - z = -18
Solving steps:
-3y - 3z = -18
3y + 4z = 1
------------------
z = -17
There the y-term has been removed.
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years,y , will it take for Jaylon and Anita to make the same amount of money?
1.75
30.25
7
121
Answer:
it's seven
Step-by-step explanation:
the answer is seven.
The surface area of the solid is ____ square inches.
Answer: 125in squared.
5x5=25
5x10=50 divided by 2 =25
Repeat 3 more times
Add together
Need answer asap please and thank you :)
Answer:
1
Step-by-step explanation:
anything divided by itself is 1
also when dividing exponets with the same base we subtract the exponet
7-7
0
and 8^0 is 1 because anything raised to the power of zero is 1
hopes this helps
Answer:
1
Step-by-step explanation:
8^7=8^7
A number divided by itself = 1
8^7=2097152
2097152/2097152=1
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. So how much flour would I need if I had 1 tablespoons of honey.
Sal built a card table with a top area of 900 square inches. What is the length, in inches, of one side of the table?
Answer: 30 inches is the length of the sides.
Step-by-step explanation: Card tables are square. So you can take √900 = 30
A bakery is selling 3.20 for 6 muffins. How much for a dozen?
PLEASE HELP!!!!
Answer:
Step-by-step explanation:
6.40 im not sure but i think
Need answers asap, when answer pls put number next to it, will give brainly if theyre all right.
Answer:
The third option.
Step-by-step explanation
The third one is a reflection of the original across the Y-Axis.
The triangle will remain congruent.
Answer: They each have a right angle, so that makes them similar in a way.
Step-by-step explanation:
Juan pays a one-time fee of $30.
Juan also pays $45 for each hour the electrician works.
A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.
B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job
1. Summarize the given situation in your own words. (What do you notice)
2. Explain: What is the essential information you can use to find the solution?
3. Find the solution.
4. Justify your answer is correct
Please help ASAP
Answer:
Step-by-step explanation:
A. c=30+45(h)
B. 30+45(6.5)= 30+292.50= 322.50
He pays a set rate of $30.00. He also pays a charge of $45 an hour for work. The electrician worked 6.5 hours. Take the 45 and multiply that by the 6.5 hours to get $292.50. Take that charge and add the set fee of $30. You get a total of $322.50 he will pay for the electrician.
help me pls 20 points worth
Answer:
They scored 21 points per game
Step-by-step explanation:
63 Points
3 Games
63÷3= 21
the same with 10 games:
210 Points
10 Games
210÷10=21
prove me wrong
Due soon, pls help, will give brainly and points, useless get reported.
Answer:
A. 100.48
Step-by-step explanation:
2(pi) 16
c= 2pi(radius)
Can someone please help me and please show your work. Will mark brainlist!
Answer:
B
Step-by-step explanation:
k= x/y
8/4 = 2.00 (2)
12/4 = 3.00 (3)
20/4 = 5.00 (5)
30/4 = 7.50 (7.5)
50/4 = 12.50 (12.5)
A plane traveled 756 miles each way to Baltimore and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 9 hours. What is the speed of the plane in still air? What is the speed of the wind?
Answer:
The speed of the wind is 12 miles per hour.
Explanation:
Let's call the speed of the plane in still air "p" and the speed of the wind "w".
From the given information, we know that:
756 miles = 7 hours * (p + w) (with the wind)
756 miles = 9 hours * (p - w) (against the wind)
We can simplify these two equations by dividing both sides by 7 and 9, respectively:
108 miles/hour = p + w
84 miles/hour = p - w
Now we can use a system of equations to solve for p and w:
p + w = 108
p - w = 84
Adding these two equations, we get:
2p = 192
Dividing by 2, we get:
p = 96
So the speed of the plane in still air is 96 miles per hour.
To find the speed of the wind, we can substitute p = 96 into either of the simplified equations:
p + w = 108
96 + w = 108
Subtracting 96 from both sides, we get:
w = 12
So the speed of the wind is 12 miles per hour.
Therefore, the speed of the plane in still air is 96 miles per hour and the speed of the wind is 12 miles per hour.
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
Jim bought 5 packs of red bouncy balls, 2 packs of yellow bouncy balls, and 7 packs of green bouncy balls. There were 7 bouncy balls in each package. How many bouncy balls did Jim buy in all?
Answer:
108 bouncy balls
Step-by-step explanation:
2*7=14
5*7=35
7*7=49
14+35+49+108
What function is graphed below?
y = 4 x + 2
y = x + 2
y = 2 x + 2
y = 2 x
vWhile playing basketball, Ava's heart beat 80 times in 30 seconds.
While running, her heart beat 60 times in 20 seconds.
Which activity made her heart beat faster?
Answer:Running makes her heart beat faster
Step-by-step explanation:
Write a story that can be represented by the equation
y = x + 1/4xy=x+1/4x
Answer:
1=y/x
Step-by-step explanation:
Because 1/4xy=x+1/4x=1=y/x
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
PLS HELP WORTH 35 POINTS!!
in wich of the tables are x and y inversely proportional
A
x=1,2,3,4
y=6,3,2,1.5
B
x=2,3,5,7
y=7.5,5,3,2
C
x=1,3,4,24
y=24,8,6,1
D:
x=0.1,0.3,25,100
y=200,40,0.8,0.2
Answer:
A, C
Step-by-step explanation:
If it is inversely proportional then y = k/x
Let's try one by one for the options. (im replacing y and x in the equation and finding k to see if k is the same all throughout)
A.
6 = k/1 (k=6)
3 = k/2 (k=6)
2 = k/3 (k=6)
1.5 = k/4 (k=6)
Yes! It's the same everywhere so this is correct!
B.
7.5 = k/2 (k=15)
5 = k/3 (k=15)
3 = k/5 (k=15)
2 = k/7 (k=14)
For the last one k is not the same so nope. It is wrong.
C.
24 = k/1 (k=24)
8 = k/3 (k=24)
k = 6×4 = 24
k = 24×1 = 24
This is correct too.
D.
k = 0.1×200 = 20
k = 0.3×40 = 12
k = 0.8 × 25 = 20
We can already see that k is not the same everywhere.
Only A and C, x and y are inversely proportional for all of the values
Answer: c
Step-by-step explanation:
Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?
Answer:
July 27
Explanation:
7 x 4 = 27
WILL MARK BRANILEST AND 40 POINTS
Solution:
Step-1: Find the data.
⇒ \(70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140\)
Step-2: Count the digits in the data
⇒ 18 digitsStep-3: Is the number of digits in the data odd or even?
Even - - 2, 4, 6, 8, 10, 12, 14, 16, 18Odd - - 1, 3, 5, 7, 9, 11, 13, 15, 17, 19The digits in the data set is even.
Step-4: Refer to the following
Even: n/2thOdd: n + 1/2thStep-5: Find which digit in the data is the median
18/2 = 9th
The 9th digit of the data is the median
Step-6: Find the median
\(70, 80, 90, 90, 100, 100, 100, 110, \bold{110}, 110, 110, 120, 120, 120, 120, 130, 130, 140\)
110 is the median.
Answer:
median: 110
given data set:
70, 80, 90, 90, 100, 100, 100, 110, 110, **median**, 110, 110, 120, 120, 120, 120, 130, 130, 140
there are total 18 data's
the median will be between 9th and 10th data.
9th --> 110
10th --> 110
median:
( 110 + 110 ) ÷ 2
110
Please help me. X/6 ≥ 7. I also need to know how this would be graphed thank you.
Answer: The inequality solves to x ≥ 42
The graph is shown below
==================================================
Explanation:
We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7
To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42
The graph will involve a number line. Plot a closed filled in circle at 42 on the number line. Shade to the right. This visually represents any number that is 42 or larger. The endpoint 42 itself is included in the solution set.
Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.
Answer:
The inequality solves to x ≥ 42
The graph is shown below
==================================================
Step-by-step explanation:
We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7
To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42
The graph will involve a number line. Plot a closed filled in circle at 42 on the number line. Shade to the right. This visually represents any number that is 42 or larger. The endpoint 42 itself is included in the solution set.
Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.
Step-by-step explanation:
Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357
Step-by-step explanation:
Hello, there!!!
The answer is option D.
I have given solution on the picture.
Hope it helps.....
What is the perimeter of this?
please please I need help!!
Answer:
97 ft
Step-by-step explanation:
perimeter would be to add both 25 feet sides and add it to the circumference of the circle
C = 15π which is approximately 47
Total perimeter = 2(25) + 47 = 97
Plz helps with 6 though 10