Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]
(b) (7/9)³
[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]
(c) (-2/3)⁴
[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]
Hence, this is the required solution.
Find two consecutive even integers such that the sum of the smaller and 3 times the larger is 330
I am so stuck please any one help
Answer:
The 2 numbers = 81 and 83
Step-by-step explanation:
As, one number = x
The other, because it's an even number and consecutive = x + 2
So the larger numbef here is x + 2
And they are saying 3 times x + 2 plus x = 330
So let's solve!
3 times x + 2 = 3(x+2) = 3x + 6
So we will add it to x = (3x + 6) +(x) = 4x + 6
So they are saying the sum of them will be 330
So, 4x + 6 = 330
4x = 330 - 6
4x = 324
x = 324/4
x = 81
So x is the first number = 81
And the second is x + 2 = 81 + 2 = 83
So the 2 numbers are 81, 83
Lets check!
3 times the bigger number = 83 x 3 = 249
We will add it to 81 and we will get 330
So, 249 + 81 = 330
So the answer is right
What is the measure of
Answer:
148°!
Step-by-step explanation:
By taking 180° (The degree of a striaght line) and subract by the other angle (32°) you'll get the answer!!
find the probability of the compound event.
not spinning a 2 and flipping heads
there are 4 sections on the spinner.
Answer:
67
Step-by-step explanation:
Which shows the image of rectangle ABCD after the rotation (x, y) - (-y, x)?
Answer:
hey lol
Step-by-step explanation:
it's the one on the right btw
Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 16 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
Answer: 40 minutes
Step-by-step explanation:
It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:
= 16/2
= 8 minutes per station
Ms. Reynolds has 5 stations.
Total time taken will therefore be:
= 8 * 5
= 40 minutes
Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate.
How many liters of water does he drink in 3 hours?
Answer:
6
Step-by-step explanation:
A robin can fly 10 miles per hour faster than a blue jay. It takes a robin 1 1/2 hours to fly 45 miles.
How many hours will it take a blue jay to fly that same distance?
Answer: [tex]2\dfrac14\text{ hours}[/tex]
Step-by-step explanation:
Given: It takes a robin [tex]1\dfrac12[/tex] hours to fly 45 miles.
[tex]1\dfrac12=\dfrac32[/tex]
Speed of robin= [tex]\dfrac{distance}{time}=\dfrac{45}{\dfrac32}[/tex]
[tex]\dfrac{45}{3}\times2= 15\times2= 30\text{ miles per hour}[/tex]
A robin can fly 10 miles per hour faster than a blue jay. It
Speed of Blue jay = Speed of robin - 10 miles per hour
= 30 miles per hour - 10 miles per hour
= 20 miles per hour
Time taken to cover 45 miles = [tex]\dfrac{45}{20}=\dfrac{9}{4}=2\dfrac14\text{ hours}[/tex]
Hence, it will take [tex]2\dfrac14\text{ hours}[/tex] by a blue jay to fly that same distance.
You are printing out information packets for your company. You will need a total of 6,400 pages to complete all of the packets. How many reams of 500 pages each will you need in order to print out all of these packets?
Answer:
13 reamsStep-by-step explanation
Given
Total number of pages to complete the packet = 6400 pages
If each ream contains 500pages, then:
Total number of reams needed = Total pages/number of pages per ream
Total number of reams needed = 6400/500
Total number of reams needed = 12.8
Hence you will need about 13 reams for all the packets
ASAP NOW AND YOULL GET 20 and ILL ANSWER ONE OF URS
Answer:
10/40=70/x
Step-by-step explanation:
mainly because the line is pointing at a
Which component is missing from the process of photosynthesis?
Carbon Dioxide + ________ + Sunlight → Glucose + Oxygen
Light Energy
Sugar
Plants
Water
Answer:
Water i hope it is correct
(GIVING BRAINLIEST!!!)
Solve one eighth divided by two equals blank by rewriting it as the multiplication equation one eighth times one half equals blank.
A) 16
B) 1/16
C) 1/10
D) 2/16
Answer:
B) [tex]\displaystyle \frac{1}{16}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{16} = \frac{\frac{1}{8}}{2} \\ \\ OR \\ \\ \frac{1}{8} \div 2 = \frac{1}{8} \times \frac{1}{2} = \frac{1}{16}[/tex]
I am joyous to assist you at any time.
Terry sees this offer refurbished phone 35% off now only £78 how much was the phone before the discounted price
Answer:
the price before the discounted price is £120
Step-by-step explanation:
The computation of the price before the discounted price is shown below:
After giving 35% off the price is £78 that means it is 65% value
So we have to determine the 100% value
So,
= £78 × 1 ÷ 0.65
= £120
Hence, the price before the discounted price is £120
Simplify. 11 3/4 - 8 1/2 A. 3 1/4 B. 3 1/3 C. 4 1/4
Answer:
A
Step-by-step explanation:
11 3/4 - 8 1/2 = 3 1/4
PLEASE I NEED HELP URGENTLY
A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.
Answer:
4.95+0.10x=120
Step-by-step explanation:
Hope this helps
5x + 3y = 5
5x + 7y = 25
Answer:
(-2,5)
Step-by-step explanation:
During their last game, the Miami Dolphins scored times for a total score of ͵Ͳ points. They scored points for each touchdown and ͵ points for each field goal. Write and solve the systems of equations to find the total touchdowns and field goals scored.
Answer:
The Miami Dolphins had 3 touchdowns and 3 field goals.
Step-by-step explanation:
It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.
We need to write and solve the system of equations to find the total touchdowns and field goals scored.
Let x represents the number of touchdowns.
Let y be the number of field goals.
It is given that the Miami Dolphins scored 6 times
[tex]x+y=6[/tex]
[tex]x=6-y[/tex]....(1)
They scored 7 points for each touchdown and 3 points for each field goal.
The total score is 30 points:
[tex]7x+3y=30[/tex] ...(2)
Put the value of x from equation (1) into equation (2).
[tex]7( 6-y)+3y=30[/tex]
[tex]42-7y+3y=30[/tex]
[tex]-4y=30-42[/tex]
[tex]-4y=-12[/tex]
[tex]y=3[/tex]
Put y = 3 in equation 1.
[tex]x=6-3[/tex]
[tex]x=3[/tex]
Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.
how can i raise my grade
Answer:
You can try asking for extra credit assignments, and just become a try hard on whatever assignments you have left. There's not much other thing besides asking for extra credit and trying your best on the assignments you have left
Substitution Method
2x+5y=-1
y=3x+10
Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
PLS I HAVE JUST 20 MINS HELP
Answer:
a7 b8
Step-by-step explanation:
per
(in meters)
3.23
3.18
3.22
3.19
Answer:
Can you please be more specific what do I convert it to.
Step-by-step explanation:
7th grade work help please
will give brainliest:)
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
Find the value of y....?
Answer:
B) 12
Step-by-step explanation:
(9y + 7)° + (7y - 19)° = 180° (interior angles in the same side of transversal)
(9y + 7 + 7y - 19)° = 180°
(16y - 12)° = 180°
16y - 12 = 180
16y = 180 + 12
16y = 192
y = 192/16
y = 12
Answer:
9y+7=7y-19
7+19=7y-9y
26=-2y
26/-2=-2y/-2
y=-13
I hope this helps:
A jar contains 21 marbles: 8 white, 3 green, and 10 red. Write the described ratio in simplest form.
A. number of white marbles to number of green marbles.
Answer:
The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.
The answer would be 8:3.
Step-by-step explanation:
There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.
The answer is 8:3.
Pls tell me what I put under m and +b
this qeustion cannot be solved! never seen it before andusally there is a number instead of a y
the 4 angles of heptagon equal and each of other 3 is 20° greater the first 4.Find the angles
Answer:
interior angle of a heptagon = 900 degrees
900 = 4x + (3x + 60)
840 = 7x
840/7 = 120
X = 120
120 X 4 = 480
120 X 3 = 360
480 + 360 + 60 = 900
4 angles = 120 degrees each
3 angles = 140 degrees each
For the following right triangle, find the side length x.
Answer:
x = 17
Step-by-step explanation:
Since its a right triangle, you can use Pythagorean Theorem.
8² + 15² = x² (Given)
64 + 225 = x² (Simplify)
289 = x² (Add like terms)
17 = x (Square root both sides)
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x9
Ox=-13
O x=
Ox=2
Ox=3
13
The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2(4-3x)+5(2x-3) = 20-5x+9
x is the variable in the equation.
Plus and minus are the operators
Apply distributive property.
8-12x+10x-15=20-5x+9
Take the variable terms on one side and constants on other side
5x-12x+10x=20-8-15+9
3x=6
Divide both sides by 3
x=2
Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Find the area of this parallelogram.
Answer:
147.03 cm
Step-by-step explanation:
Answer:
147.03
Step-by-step explanation:
WxL=147.03
I think this is right ❤️
Which of these grids is shaded red and blue in the ratio 1:2?
The number of red cells are 4 and the number of blue cells are 8. Then the correct option is C.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
In the grids, there are 12 square box.
Let R be the red and B be the blue.
R + B = 12 ...1
R / B = 1/2 ...2
By solving equation 1 and 2, we have
R + 2R = 12
3R = 12
R = 4
Then
4 + B = 12
B = 8
Then the correct option is C.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2