Step-by-step explanation:
) Every positive rational number is greater than 0.
(ii) Every negative rational number is less than 0.
(iii) Every positive rational number is greater than every negative rational number.
(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left.
(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right
b
Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. a. Draw a line to show the relationship between the number of hours a bike is rented, x, and the total cost of renting a bike, y.
Answer:
(see image)
Step-by-step explanation:
need answer now! thank you if you answer
Answer: 1/8 x, the second option
Step-by-step explanation:
(5)(1/8)(x) = 5/8 x
(11)(1/8)(x) = 11/8 x
Both have 1/8 * x in common
1/8 * x = 1/8 x
There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1 3/5 of the girls play a musical instrument. 4/5 of the boys play a musical instrument. What fraction of the 60 children play a musical instrument?
Answer:
3/20
Step-by-step explanation:
There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1
Step 1
We find the number of girls and boys
The ratio is given as:
Girls : Boys
3:1
The sum of Proportion = 3 + 1 = 4
The number of girls
= 3/4 × 60 children
= 45 girls
The Number of boys
= 1/4 × 60 children
= 15 boys
Step 2
From the question, we are told:
3/5 of the girls play a musical instrument.
The number of girls that play Instruments is calculated as:
3/5 × Number of girls
= 3/5 × 45 girls
= 27 girls
4/5 of the boys play a musical
instrument.
The number of boys that play Instruments is calculated as:
4/5 × Number of boys
= 4/5 × 15 boys
= 12 boys
Step 3
The fraction of the 60 children that play a musical instrument is calculated as:
Sum of boys and girls that play a musical instrument/ 60 children
= 27 girls + 12 boys/60
= 39/60
= 3/20
The fraction of the 60 children that play a musical instrument is 3/20
Who can help me with these two?!? and can show work plz
Answer:
(4, 2 ) and (5, - 4 )
Step-by-step explanation:
(3)
6x + 2y = 28 → (1)
x = 2y → (2)
Substitute x = 2y into (1)
6(2y) + 2y = 28
12y + 2y = 28
14y = 28 ( divide both sides by 14 )
y = 2
Substitute y = 2 into (2) for corresponding value of x
x = 2(2) = 4
solution is (4, 2 )
(4)
x + y = 1 → (1)
2x + y = 6 → (2)
Rearrange (2) expressing y in terms of x by subtracting 2x from both sides
y = 6 - 2x → (3)
Substitute y = 6 - 2x into (1)
x + 6 - 2x = 1
- x + 6 = 1 ( subtract 6 from both sides )
- x = - 5 ( multiply both sides by - 1 )
x = 5
Substitute x = 5 into (3) for corresponding value of y
y = 6 - 2(5) = 6 - 10 = - 4
solution is (5, - 4 )
Solve these simultaneous equations:
3. 5x – 3y = 15 4x 3y = 6
2x + 5y = 26 4x + 3y = 24
3x + 3y = 39 2x - 3y = - 2
Answer:
1) We have the system:
5*x - 3*y = 15
4*x + 3*y = 6
To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:
x = 15/5 + (3/5)*y = 3 + (3/5)*y
Now we can replace this in the other equation to get:
4*( 3 + (3/5)*y) + 3*y = 6
and solve this for y.
12 + (12/5)*y + 3*y = 6
(12/5 + 3)*y = 6 - 12 = -6
(12/5 + 15/5)*y = -6
(27/5)*y = -6
y = -6*(5/27) = 1.11
Now we can replace this in the equation:
x = 3 + (3/5)*y
To get the value of x.
x = 3 + (3/5)*1.11 = 3.67
Then the solution of this system is the point (3.67, 1.11)
2) Now we have the system:
2*x + 5*y = 26
4*x + 3*y = 24
The solution method is the same as before:
x = 26/2 - (5/2)*y = 13 - (5/2)*y
Now we replace this in the other equation:
4*( 13 - (5/2)*y) + 3*y = 24
52 - 10*y + 3*y = 24
52 - 7*y = 24
52 - 24 = 7*y
28 = 7*y
28/7 = y
4 = y
now we replace this in the equatio:
x = 13 - (5/2)*y
x = 13 - (5/2)*4 = 13 - 10 = 3
The solution of this sytem is (3, 4)
3) Now we have the system:
3*x + 3*y = 39
2*x - 3*y = -2
first we isolate x in the first equation:
x = 39/3 - 3*y/3 = 13 - y
Now we can replace this in the other equation:
2*(13 - y) - 3*y = -2
26 - 2*y - 3*y = -2
26 - 5*y = -2
26 + 2 = 5*y
28 = 5*y
28/5 = y = 5.6
Now we can replace this in the equation:
x = 13 - y
To get the x-value
x = 13 - 5.6 = 7.4
Then the solution for this system is (7.4, 5.6)
Angle A and Angle B are a linear pair . Angle A = (3x + 15) degrees . Angle B = (5x - 11) degrees . Find the measure of Angle B.
What is the equation in point-slope form for the line through the given point with the given slope? (8, 3); m = 6
Answer:
y - 3 = 6(x - 8)
Step-by-step explanation:
slope point form :<
Need help ASAP please
Select the correct answer.
Which statement describes the end behavior of the exponential function f(x) = 2x - 3?
A.) For very high x-values, f(x) moves toward positive infinity.
B.) For very high x-values, f(x) moves toward negative infinity.
C.) For very high x-values, f(x) moves toward the horizontal asymptote.
D.) For very low xvalues of x, f(x) moves toward negative infinity.
Answer:
So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.
(60 points)--------------------
Answer:
2 and 3 dear friend
Step-by-step explanation:
Answer:
be more clear pls- is it multiple choice orrr? that's all I need to know to answer it.
Step-by-step explanation:
What is the value of the digit 6 in this number? Write your answer in number form.
647,013,020
Answer:
6= six hundred million.PLEASE HELP TIMED!!!!
Factor the following expression: -4W + 32
Answer:
The answer is -4 ( W - 8 )
I hope this helps you
Answer:
-4(w-8)
at first when you look at it you know you cant add then because 32 have a variable but to get -4w+32 you will have to do -4(w-8)
hope that helped
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Which diagram best represents the story? Explain why the diagram represents it.
What part of the story does
x
represent?
Describe how you would find the unknown amount in the story
Answer:
Let's define the variable x as the number of apples in each bag.
We know that she bought 4 bags, then the total number of apples that she has is:
Apples = 4*x
Now she eats one apple for each bag, then she eats 4 apples, so she now has:
Apples = 4*x - 4
And we know that this is equal to 28, then:
4*x - 4 = 28
now we can solve this for x.
4*x = 28 + 4 = 32
x = 32/4 = 8
x = 8
There are 8 apples in each bag.
For the diagram part, by a small online search y found the image that you can see below.
The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.
A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover
Answer:
Option (3)
Step-by-step explanation:
Area of a circle is given by the formula,
Area = πr²
Here, r = radius of the circle
Since, radius of the circular trampoline = 8 feet
Area of the cover required for the circular trampoline = π(8)²
= 64π square feet
Therefore, Option (3) will be the answer.
What is the equation of the line with a slope of 2 through (-4, 6) in point-slope form?
O y = 2x + 14
Oy-6 = 2 (x +4)
Oy= 2x – 14
Oy+6 = 2 (x – 4)
Answer:
y - 6 = 2(x + 4)
Step-by-step explanation:
Point slope form is y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex]).
[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that they give you in the problem, which is (-4, 6), and m is the slope, which is 2.
When you plug everything in, you should get
y - 6 = 2(x + 4).
Underline the prepositions in the sentences. 1. The bus shuttles between Delhi and Gurgaon. 2. The children ran across the bridge. 3. Towards evening, you can hear the frogs croak. 4. I dug the flowerbeds with a spade. 5. The mountaineer reached the peak with great difficulty.
Answer:
1. The bus shuttles between Delhi and Gurgaon.
2. The children ran across the bridge.
3. Towards evening, you can hear the frogs croak.
4. I dug the flowerbeds with a spade.
5. The mountaineer reached the peak with great difficulty.
Explanation:
Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.
The prepositions in the given sentences are underlined as follows-
1. The bus shuttles between Delhi and Gurgaon.
2. The children ran across the bridge.
3. Towards evening, you can hear the frogs croak.
4. I dug the flowerbeds with a spade.
5. The mountaineer reached the peak with great difficulty.
The diameter of a cylinder is 26 yards. Find the volume of the cylinder, if it's height is 29 yards.
Answer:
15389.14
Step-by-step explanation:
You may need to round
4901 without pi
there are 4 triangles, 12 sqaures and 6 circles. What is the ratio of squares to circles? Simplify.
Answer:
12 to 6
12:6
Step-by-step explanation:
What is the value of r?
r= 4 ft
r= 8 ft
r = 16 ft
r = 32 ft
R=8ft
Step-by-step explanation:
Calculate r using the given formula
r = , with Area = 64π
r = ← cancel π on numerator/ denominator
r = = 8
The required value of radius of circle r is 8 ft
From Figure the area of circle is = 64π, we have to find the radius of the circle.
What is area of circle?Area of the circle is = π[tex]r^2[/tex]
since
the area of the circle is given = 64π
And,
Radius = √area/π
radius= √64π/π
Radius = √64
Radius = 8 ft
Thus The required value of radius of circle r is 8 ft.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ2
Mary has $6,000 saved for her college education. She invested that money at 2.3% interest per year. Suppose her account earned interest compounded annually. How much interest would she earn in 3 years?
Answer:
Interest= $423.59
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $6,000
Number of periods (n)= 3 years
Interest rate (i)= 2.3% = 0.023
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 6,000*(1.023^3)
FV= $6,423.59
Now, the interest earned:
Interest= 6,423.59 - 6,000
Interest= $423.59
is a type of bar graph to represent
grouped data
Answer:
A histogram is a bar graph that represents grouped data
3N and 3N+3 are two consecutive multiples of three.
a The sum of the two numbers is 141. Write down an equation to show this.
b Solve the equation to find the value of N
c Work out the values of the two initial numbers.
Answer:
Step-by-step explanation:
a) 3n+3n+3=141, 6n+3=141
b) 6n+3=141, 6n=138, n=23
c) 3n and 3n+3, 3(23) and 3(23)+3, 69 and 72
Evaluate 3x + 4y when x = 2 and y = 5
Answer:
26
Step-by-step explanation:
3*2+4*5=6+20=26
25 points to 50 points find the percent of change
Answer:
The percent of change 200%.
Hope that helps！
Step-by-step explanation:
Answer:
Its a 200% change i believe, hope you have a nice day!
50 points! Look at the picture attached
Answer:
Answer:
the length of the base of the pyramid =2×58=116
since the mid segment line from the midpoint is half of the third one.
Answer:
the length of the base of the pyramid =2×58=116
Step-by-step explanation:
Write down the 3rd term in the sequence given by: T(n) = 2n² + n
Answer:
T(3) = 21
Step-by-step explanation:
To find the third term, substitute n = 3 into T(n) , that is
T(3) = 2(3)² + 3 = 2(9) + 3 = 18 + 3 = 21
Students in a health class are tracking how much water they consume each day. Victoria has two reusable water bottles: a small one and a large one. Yesterday, she drank 3 small bottles and 4 large bottles, for a total of 3,312 grams. The day before, she drank 2 small bottles and 4 large bottles, for a total of 2,888 grams. How much does each bottle hold?
please help
Given :
Let, capacity of small bottle is x and large bottle is y.
To Find :
How much does each bottle hold ?
Solution :
For condition 1 :
3x + 4y = 3312 ...1)
For condition 2 :
2x + 4y = 2888 ...2)
Subtracting equation 2) from equation 1), we get :
x = 424
Putting value of x in equation 1) is :
[tex]y = \dfrac{2888 - (2\times 424)}{4}\\\\y = 510[/tex]
Therefore, capacity of small bottle is 424 gram and large bottle is 510 gram.
Is y=4x-2/12 linear or non linear (that’s a fraction not a division symbol)
Answer:
It is linear
Step-by-step explanation:
check graph img
Ursula rolls a regular
Six-sided die. How many
possible outcomes are
there?
1
outcome
2
outcomes
D
6
outcomes
8
outcomes
7.6A
A
Answer:
6
Step-by-step explanation:
cuz in a normal die there r 6 outcomes
63 is 75% of what number? Enter your answer in the box.
Answer:
n = 84
Step-by-step explanation:
63 = n x 3/4
n = 63 / (3/4)
n = 63 / 3 x 4
n = 21 x 4
n = 84
Hope that helps!
Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, , for the value of the account to reach $4,720?
Answer:
13
Step-by-step explanation: