Answer:
y = 17.5
Step-by-step explanation:
y is directly proportional to x means that
y = k.x
when y=5, x=2 --> k = y/x = 5/2
when x=7
y = k.x = 5/2 . 7 = 35/2 = 17.5
If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that y is directly proportional to x
y = 5 when x = 2
We need to find the value of y when x is 7
To find the value of y when x is 7 we have to construct a proportional formula as below
2/5=7/y
Apply cross multiplication
2y=35
Divide both sides by 2
y=35/2
y=17.5
Hence, If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5
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Help if you can please!!
===================================================
Work Shown:
c(b) = 5b
h(b) = b+4
h(c(b)) = c(b)+4 ... replace every b with c(b)
h(c(b)) = 5b+4 ... replace c(b) on the right hand side with 5b
For the sake of simplicity, let's call "h(c(b))" as k
k = h(c(b))
k = 5b+4
that way we can use it later in the next section
---------------
a(b) = b^2 + 7
a(k) = k^2 + 7 ... replace b with k
a(k) = (5b+4)^2 + 7 ... plug in k = 5b+4
a(k) = 25b^2+40b+16+7 .... use FOIL rule
a(k) = 25b^2+40b+23
a( h(c(b)) ) = 25b^2+40b+23
In that last step, I replaced k with h(c(b)) so that we get to the original format your teacher wanted.
Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag costs £2.99. Find the cost per gram for each bag of sugar. Round your answers to 3dp.
Answer:
a 3.889
b 3.735
c 4.013
Step-by-step explanation:
a. 45p is 0 175/45=3.889
b 420/113= 3.735
c1.2kg= 1200g /299 =4.013
/ means divide
WY bisects UV at Y. If
UY = 2x +1 and YV = x+7, find
UV.
Answer:
3x + 8
Step-by-step explanation:
Since, WY bisects UV at Y.
Therefore,
UV = UY + YV
UV = 2x + 1 + x + 7
UV = 2x + x + 1 + 7
UV = 3x + 8
The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8
To bisect a given line means to divide the line into two equal parts.
If WY bisects UV at Y, then:
UY + YV = UV and UY = YV
Given the following parameters:
UY = 2x +1
YV = x+7
Required
UV
Substitute the given parameters into the formula shown above:
2x + 1 + x + 7 = UV
Collect the like terms
2x + x + 1 + 7 UV
3x + 8 = UV
Swap
UV = 3x + 8
Hence the measure of length UV is 3x + 8
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Simplify the Expression *
Answer:
16√3
Step-by-step explanation:
(4√6)(2√2)
4*2√6*2
8√12=8√4*3=8*2√3
16√3
What is the difference between a rational number and anirrational number?
Step-by-step explanation:
I'm sure u could've googled this answer.
Rational numbers refers to a number that can be expressed in a ratio of two integers.
An irrational number is one which can't be written as a ratio of two integers.
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible
how do I solve this?
Answer:
17
Step-by-step explanation:
x^2 + 2y^2
Let x=3 and y =2
3^2 + 2 ( 2)^2
Exponents first
9 + 2* 4
Then multiply
9+8
Then add
17
Answer:
17
Step-by-step explanation:
● x^2 + 2y^2
Replace x by 3 and y by 2
● (3)^2 + 2×(2)^2
● 9 + 2 × 4
● 9 + 8
● 17
Jackson School's spelling bee started at
9:15 A.M. and ended at 10:25 A.M. How
long did the spelling bee last?
A.) 1 hour and 10 minutes
B.) 1 hour and 5 minutes
C.) 55 minutes
Answer:
The answer is A) 1 hour and 10 minutes
Step-by-step explanation:
A farmer was dividing up his one-eighth of an acre of land between his 6 children. Since each child got the same amount of land, what fraction of the acre did each get?
Answer:
1/48
Step-by-step explanation:
A farmer was dividing up his one-eighth of an acre of land between his 6 children.
We are told each child got: the same amount of land. Hence,
1/8 of 1 acre =
1/8 acre of land
Divide 1/8 acre of land by 6 children
1/8 ÷ 6
1/8 × 1/6
= 1/48
Hence, the fraction of the acre of the land that each child got = 1/48
if the area of a rectangle is square meters, then the length is 10 meters and the width is 2 meters
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
To find the area of a rectangle or square, you multiply the length by the height.
The length is 10 meters and the width is 2 meters.
10 times 2 is 20.
The rectangle is 20 square meters.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The required area of the rectangle is 20 square meters.
Given that,
If a rectangle's area is square meters, then the length is 10 meters and the width is 2 meters.
The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
area of the rectangle is given as
Area = length × width
Area = 10 × 2
Area = 20
Thus, the area of the rectangle is 20 square meters.
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find the slope of the line through (-4, 2) and (5,8) on a coordinate plane
Answer: m = 2/3
Step-by-step explanation: Use the slope formula to find the slope m.
: m = slope :
: slope of a line : m = rise/run = y2-y1/x2-x1 :
: (x1,y1) : coordinates of first point in the line :
: (x2,y2) : coordinates of second point in the line :
I hope this helps you out.
Answer:
Slope = 2 / 3
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
y2 is the y coordinate of the second ordered pair and y1 is the y coordinate of the first ordered pair. x2 is the x coordinate of the second ordered pair and x1 is the x coordinate of the first ordered pair.
=(8-2) / (5+4)
= 6 / 9
Slope = 2 / 3
how?? help on 51. please! Thank you
Answer:
A is incorrect
Step-by-step explanation:
when you see -(- it makes the thing plus sign/positive
I'm so confused. Please help,thanks!
Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)
7y+6x-14=0
Step-by-step explanation: if we know two coordinates of a line.
Answer:
6x+7y=14
Step-by-step explanation:
graphed using desmos, answer for edge 2021
what is the slope ? y + 6 = 3 (x + 1)
I hope this helps you
y+6=3x+3
y=3x-3
in formula m is y=mx+b
m=3
Answer:
3
Step-by-step explanation:
Slope is the coefficient of x, m in the form of y = mx + b
y + 6 = 3(x +1)y + 6 = 3x + 3y = 3x - 3Slope of this function is 3
These are my questions.
Someone should please help
Step-by-step explanation:
The third one is not clear hence i couldn't answer it the rest i did
8 \cdot 10^48⋅10 4 8, dot, 10, start superscript, 4, end superscript is how many times as large as 4\cdot10^{-5}4⋅10 −5 4, dot, 10, start superscript, minus, 5, end superscript?
Answer:
[tex]\bold{2\cdot10^9}[/tex]
Step-by-step explanation:
The given expression s are:
[tex]8 \cdot 10^4[/tex] and
[tex]4\cdot10^{-5}[/tex]
To find:
[tex]8 \cdot 10^4[/tex] is how many times as large as [tex]4\cdot10^{-5}[/tex].
Solution:
Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].
So, we can say that:
[tex]8 \cdot 10^4[/tex] = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]
OR
[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]
Let us have a look at the formula for exponents:
[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]
Here we have:
[tex]x=10\\p=4\ and\\q=-5[/tex]
Solving the expression using above formula:
[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]
So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]
Answer: 5 is your answer!
Step-by-step explanation:
is 3/8 rational or irrational
Answer:
Step-by-step explanation:
rational because 3/4 is rational.
As regards if the fraction 3/8 is a rational or irrational number, the correct answer is that it is a rational number.
Why is 3/8 a rational number?Rational numbers are numbers and fractions that are finite in nature. This means that they do not keep on going with non zero digits.
When converted to a decimal, the number 3/8 is:
= 3/8
= 3 ÷ 8
= 0.375
3/8 does not repeat so it is a rational number.
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What is g(4) if g(x)=x^2-5
Answer:
g(4)=11
Step-by-step explanation:
g(4)
g(x)=x^2-5
We know x equals 4 so substitute
g(4)=4^2-5
g(4)=16-5
g(4)=11
Use
with numbers. Use
with shapes.
Answer:
Can you clarify?
Step-by-step explanation:
Divide $700 in the ratio 5:3:2 (S
Answer:
350:210:140
Step-by-step explanation:
5+3+2=10, so we need 10 equal parts
700÷10=70
5x70=350
3x70=210
2x70=140
350:210:140
Answer:
Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140
A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0.5 seconds ( time between seeing the brake lights of the car ahead flash and hitting the brake ), how far will his car travel during his reaction time ?
Answer:
44 ft
Step-by-step explanation:
We are given that;
Speed; v = 60 mph
Reaction time;t = 0.5 s
Now, we know that;
Distance = speed x time
Since time is in seconds, let's convert speed to mph to ft/s
From conversion,
1 mph = 1.46667 ft/s
So, 60 mph would give;
60 × 1.46667 ≈ 88 ft/s
Thus, distance his car travels during his reaction time is;
Distance = 88 × 0.5 = 44 ft
In the function f(x) = 4x -2, which of the following is the name of the function?
Answer:
The name of the function is linear function.
Step-by-step explanation:
A linear function is the function representing a straight line.
A linear function is used to define the relationship between a dependent variable and independent variable.
The general form of a linear function is:
y = m·x + c
Here,
y = dependent variable
x = independent variable
m = slope
c = intercept
The function provided is:
f (x) = 4·x - 2
The above function is similar to the linear function's general form.
The slope of the provided function is 4 and the intercept is -2.
Thus, the name of the function is linear function.
verbal expression for each algebraic expression 23f
If 10-6 is 4, what is 14-9?
Answer:
14-9 would be 5.
Use the ALEKS calculator to find 35% of 89. Do not round your answer.
100 POINTS PLEASE PLEASE HELP I NEED THE ANSWER ASAPP ;(
Answer:
y < -1/4 x +1
Step-by-step explanation:
Find two points on the dotted line
( 0,1) and (4,0)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= (0-1)/(4-0)
= -1/4
The slope is -1/4
The y intercept is where it crosses the y axis or 1
The equation of the line, using slope intercept form
y = mx+b
y = -1/4x +1
The line is dotted which means there is no equals, just greater than or less than. It is shaded below which means less than
y < -1/4 x +1
Answer:
[tex]y<-\frac{1}{4}x+1[/tex]
Step-by-step explanation:
First, let's find the equation of the line.
From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).
Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂
Find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]
Use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We already know the slope is -1/4 and the y-intercept is 1. So, substitute:
[tex]y=-\frac{1}{4}x+1[/tex]
Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:
[tex]y<-\frac{1}{4}x+1[/tex]
The sentences:
First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.
The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.
Answer:
length = 14 cmwidth = 3 cmStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 34 cm
The statement
The length of a rectangle is 8 cm longer than twice the width is written as
l = 8 + 2w
Substitute this expression into the above formula and solve for the width
That's
34 = 2( 8 + 2w) + 2w
34 = 16 + 4w + 2w
6w = 18
Divide both sides by 6
w = 3
Substitute this value into l = 8 + 2w
That's
l = 8 + 2(3)
= 8 + 6
l = 14
The dimensions are
length = 14 cm
width = 3 cm
Hope this helps you
CHEM HELP !!!!!
LOOK AT THE PIC ABOVE PLEASE !!!!!! I’ll VENMO
Answer:
There is no picture for the help you need :(
The sum of three intergers is 242. The 2nd number is 3 more than twice the first and the 3rd number is 9 less than 5 times the first. Find the numbers
Answer:
31, 65, 146
Step-by-step explanation:
math
A bowl contained 28.2 grams of salt. Christine poured in another 57.04 grams. How much salt does the bowl contain now?
Answer:
85.24 grams
Step-by-step explanation:
28.2 + 57.04 = 85.24