Answers
Answer:
3[tex]\sqrt{3}[/tex] and [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Simplifying surds is similar to collecting like terms in algebra.
If the surds have the same value then collect them by adding/ subtracting their coefficients.
(a)
[tex]\sqrt{3}[/tex] (7 - 2 + 1 - 3)
= [tex]\sqrt{3}[/tex] (3)
= 3[tex]\sqrt{3}[/tex]
(b)
[tex]\sqrt{7}[/tex] (5 + 4 - 8)
= [tex]\sqrt{7}[/tex] (1)
= [tex]\sqrt{7}[/tex]
Related Questions
The ratio of boys to girls in a group is 7:2. If there are 60 more boys than girls, work out how many girls there are.
Answers
Answer:
Step-by-step explanation:
So, kids are divided into 8 total parts.
7 - 1 = 6 more parts that are boys. The 48 extra boys are those 6 parts.
48/6 = 8 boys per part
All parts have the equal number of kids, so one part girls also has 8.
There are 8 girls (and 56 boys. 8:56 = 1:7).
What is the measure of
Answers
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 value of y....?
Answers
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:
Can someone help me please
Answers
The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.
Answers
Answer:
246.50
Step-by-step explanation:
PLS I HAVE JUST 20 MINS HELP
Answers
Answer:
a7 b8
Step-by-step explanation:
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?
Answers
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
When buying a car, Esther can choose a 2-door or 4-door car with leather or cloth interiors in black, silver, or white. How many different combinations can be made with the car options?
Answer value
Answers
Answer: I think 12
Step-by-step explanation: all the posibilitys-
1. 2 doors
2. 4 doors
3. silver
4. black
5. white
6. cloth
7. leather
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x9
Ox=-13
O x=
Ox=2
Ox=3
13
Answers
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
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
Answers
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
7th grade work help please
will give brainliest:)
Answers
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!
Simplify. 11 3/4 - 8 1/2 A. 3 1/4 B. 3 1/3 C. 4 1/4
Answers
Answer:
A
Step-by-step explanation:
11 3/4 - 8 1/2 = 3 1/4
Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?
Answers
Answer:
24x1.35=32.4
He should have recieved $32.40 in change.
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?
Answers
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
Solve the equation: 3(x + 2) = 40.2 *
please help
Answers
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4
Answers
Answer:
Step-by-step explanation:
7
Write an integer that represents spending $40
Answers
Answer:
-40
Step-by-step explanation:
you are subtracting 40.
Which component is missing from the process of photosynthesis?
Carbon Dioxide + ________ + Sunlight → Glucose + Oxygen
Light Energy
Sugar
Plants
Water
Answers
Answer:
Water i hope it is correct
Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?
2 dollars for each pencil
Answers
Answer:
Two dollars each
Step-by-step explanation:
Answer:
6/3 is 2. That's the total cost of each pencil.
Step-by-step explanation:
Terry sees this offer refurbished phone 35% off now only £78 how much was the phone before the discounted price
Answers
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
1. The cheerleading squad is selling hot dogs and cookies for a fundraiser. The cost of each hot dog is $1.50 and the cost of each cookie is $0.75. How many hot dogs and cookies can a person buy with less than $15?
Answers
Answer:
5 hot dogs and 9 cookies
Step-by-step explanation:
1.5(5)+0.75(9)<15
7.5+6.75=14.25
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.
Answers
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.
37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?
Answers
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
Please Help me! 15 Points!
Which expressions are equivalent to 2(b + 3c) ?
A: 3(b+2c)
B: (b + 3c) + (b + 3c)
C: 2(b) + 2(3c)
Answers
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step by Step instruction :)))
we have
2 (b+3c)
Distribute the number 2
2(b+3c) = 26 + 2(3c) = 26 + 6c
Verify each case
Case A) 3(b+2c)
distribute the number 3
3(b + 2c) = 36 + 3(2c) = 36 + 6c
3b + 6c is NOT equal to 2b + 6c
therefore
Choice A is not equivalent to the given expression
Case B) (b+3c)+(b+3c)
Combine like terms
b + 3c) + (b + 3c) = (b + b) = 3c + 3c = 26 + 6c
2b + 6c = 26 + 6c
therefore
Choice B is equivalent to the given expression
Case C) 2(b)+2(3c)
Multiply both terms by 2
2(b) + 2(3c) = 2b + 6c
2b + 6c = 26 + 6c
therefore
Choice C is equivalent to the given expression
♡Hope it helps♡
Answer:
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step by Step instructions:
we have
2 (b+3c)
Distribute the number 2
2(b+3c) = 26 + 2(3c) = 26 + 6c
Verify each case
Case A) 3(b+2c)
distribute the number 3
3(b + 2c) = 36 + 3(2c) = 36 + 6c
3b + 6c is NOT equal to 2b + 6c
therefore
Choice A is not equivalent to the given expression
Case B) (b+3c)+(b+3c)
Combine like terms
b + 3c) + (b + 3c) = (b + b) = 3c + 3c = 26 + 6c
2b + 6c = 26 + 6c
therefore
Choice B is equivalent to the given expression
Case C) 2(b)+2(3c)
Multiply both terms by 2
2(b) + 2(3c) = 2b + 6c
2b + 6c = 26 + 6c
therefore
Choice C is equivalent to the given expression
For the following right triangle, find the side length x.
Answers
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)
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?
Answers
Answer:
6
Step-by-step explanation:
Pls tell me what I put under m and +b
Answers
this qeustion cannot be solved! never seen it before andusally there is a number instead of a y
Translate this sentence into an algebraic inequality.
3 more than the product of x and 12 is less than 25.
Select one:
a. 12x + 3 < 25
b. 3 > 12x – 25
c. 3 > 12(x - 25)
Answers
Answer:
Option A
Step-by-step explanation:
Lets convert each sentence into algebric inequality.
3 more than product of x & 12 :-[tex] = > 12x + 3[/tex]
Now , 12x + 3 is less than 25 :-[tex] = > 12x + 3 < 25[/tex]
(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
Answers
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.
find the probability of the compound event.
not spinning a 2 and flipping heads
there are 4 sections on the spinner.
Answers
Answer:
67
Step-by-step explanation:
Answer: 3/8 chance