Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
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The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?
Answer:
137$
Step-by-step explanation:
Let the slope of the equation be
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
where y = Total pay
x = T-shirts sold
Take any two values of x and corresponding y value
[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]
The equation will be
[tex]y=mx+b[/tex]
Finding b
[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]
The equation is
[tex]y=3x+65[/tex]
Now sasha sells 24 shirts [tex]x=24[/tex]
[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]
Sasha would earn 137$ on that day.
What is the result of the arithmetic operation?
3**4 =
Answer:
81
Step-by-step explanation:
i did le math, and its right on ed2020
− 3/4 is a rational number, but not an integer. Explain why below.
− 3/4 is not an integer but a a rational number.
Why is this correct?A rational number is simply a number that can be written as a fraction with both the numerator and denominator being integers (where the denominator's not zero). For instance lets consider 3/4 as an example. It can be expressed as the fraction 3/4, where 3 and 4 are both integers.
On the hand an integer is a number that is not, in the form of a fraction. In the case of 3/4 it cannot be classified as an integer since it represents a fraction, than a whole number.
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12,400 × [] = 124
What number should go in the box to make the equation true?
Answer:
100
Step-by-step explanation:
inverse operation: 12,400 divided by 124
[tex]log_{9}log_{2}log_{2}256[/tex]
Answer:
I hope it will help you...
In standard form 0.0325 is written as?
Answer:
In standard form 0.0325 is written as 0.0325
In scientific notation it is written as:
[tex]3.25^{ - 2} [/tex]
The standard form of 0.0325 is written as
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Given:
0.0325
Writing in standard form means writing in scientific notation (power of be 10)
When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.0.0325
The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2
Therefore,
0.0325
[tex] = 3.25 \times {10}^{ - 2} [/tex]
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Pls help I will give u 50 points
Answer:
y=13.50x
Explanation:
Answer:
Step-by-step explanation:
stop the cappppppppppp
Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2. points A and B points B and C points C and D points A and D
Answer:
Points B and C are opposite
Step-by-step explanation:
0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.
Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left
Answer:
b and c are opposites
Step-by-step explanation:
other guy was right
Pls Help.!!
Find the areas of the following: A square with a width and height equal to 5 feet.
Answer:
A = 25 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
A square has all equal sides and anglesArea of a Square: A = x²Step-by-step explanation:
Step 1: Define
x = 5 ft
Step 2: Find Area
Substitute in x: A = (5 ft)²Evaluate: A = 25 ft²Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles. Mark this and return
Answer:
Carlos rode further than on Saturday by 107/56 miles.
Step-by-step explanation:
i did the quiz lol
Answer:
Its D
Step-by-step explanation:
I took the test and got it right.
A pelican flies to 40 feet above sea level. It then drops down 40 feet to catch a fish. Where is the pelican now? Use the number line below to help you.
Answer:
Step-by-step explanation:
40 ft - 40 ft = 0
On sea level
Solve the system of equations:
3x-3y = -15
and
-x+y = 5
Answer:
x=0 y=5
trust me I think its right
The x coordinate for an ordered pair in the solution set of x+2y=11 is 3. find the y coordinate
Answer:
y=4
Step-by-step explanation:
solve for y. I have the work shown in the picture I attached.
Find the measure of each angle (help me please)
Answer:
<1=39 degrees
<2=141 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps:)
plz mark as brainliest
Answer:
x-38+x+64=180(supplementry angle)
2x+26=180
2x=180-26
2x=154
x=154÷2
x=77
Again,1st angle
x-38
77-38
39
2nd angle,
x+64
77+64
141
Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and have no flowers left over, how many daisies will be in each flower arrangement?
Answer:
3 daisies.
Step-by-step explanation:
Given that,
Samantha has 32 roses and 96 daisies.
She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.
For this, we need to first find the HCF of 32 and 96.
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
HCF = 32
No of daisies = 96/32 = 3
Hence, there are 3 daisies in each flower arrangement.
find the value of x and y
(5y-23)
(2x+13)
(3x)
47
Answer:
Hope it help, and please give me Brainlest!
Step-by-step explanation:
I just know this one. I'm so sorry!
2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]
The value of x and y in the given figure is 14° and 23° respectively.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.
∴ 47° + (2x + 13)° + (5y - 23)° = 180°.
47° + 13° - 23° + 2x + 5y = 180°.
2x + 5y = 143°...(i).
Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.
∴ 3x + (5y - 23)° = 180°.
3x + 5y = 157°...(ii)
Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.
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Need ASAP
....................
Answer:10/15
Step-by-step explanation:10 divided by 5=2
15 divided by 5=3 in words 10/15 is simplified to 2/3
Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?
Answer:
90 minutes
Step-by-step explanation:
In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.
x = 200 * (45 / 100)
x = 200 * 0.45
x = 90 minutes
Therefore, Kenzie has already used 90 minutes of video on the flash drive.
please help me with these.. brainliest.
Answer:
it will be on platform 9 3/4
Step-by-step explanation:
slope of points (-11,5), (-6,0)
I’ll give the Brainliest to who answers this question with a reasonable explanation.
If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?
Thank you!
54÷6+0.42×(9×8÷2+82)
Answer:
58.56
Step-by-step explanation:
I need help please
Answer:
no solution, these are parallel lines b/c same slope
Step-by-step explanation:
rewrite first one to = y : y = 3x + 10
3x + 10 = 3x - 6
The sum of three consecutive numbers is 123.
What is the smallest of the three numbers?
Answer:
The three numbers are 40, 41 and 42. So the answer would be 40
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q- 2)
Choose 1 answer:
What is the binary number for 16
Answer:
Decimal Number 4-bit Binary Number Hexadecimal Number
14 1110 E
15 1111 F
16 0001 0000 10 (1+0)
17 0001 0001 11 (1+1
Step-by-step explanation:
hope this helped
helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz
Answer:
thr answer is 6(2n-3) this is rhe answer
What is the y intercept of y= -3x-2
(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)
Answer:
-2
Step-by-step explanation:
we always know that the y intercept is after the x part. for example, if it was
y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13