Answer:
Equation of line is: [tex]\mathbf{y=4x+3}[/tex]
Step-by-step explanation:
We are given:
A straight line has gradient 4 and passes through the point (5,23).
Work out the equation of the line.
The equation of line will be in slope-intercept form: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding slope
We have slope (gradient) m = 4
Finding y-intercept
Using slope m = 4 and point (5,23) we can find b i.e y-intercept
[tex]y=mx+b\\23=4(5)+b\\23=20+b\\b=23-20\\b=3[/tex]
So, we get y-intercept b = 3
Finding Equation of Line
Now, writing equation of line having slope m = 4 and y-intercept b = 3 is:
[tex]y=mx+b\\y=4x+3[/tex]
So, the Equation of line is: [tex]\mathbf{y=4x+3}[/tex]
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (4,-3); y=-5x+8
Answer:
Step-by-step explanation:
The slope of the line is m = -5
4 is your x1
-3 is your y1
Plug into the equation y - y1 = m(x - x1)
y + 3 = -5(x - 4)
y + 3 = -5x + 20
-3 -3
y = -5x + 17
Factor the expression using the GCF. 25 + 50
Answer:75
Step-by-step explanation:
Timmy can text 24 words in 2/3 of a minute. How many words can he text per
minute?
Answer:
36 words
Step-by-step explanation:
24 = 40seconds
? =60s
60×24= 1440÷40
= 36
An adult cheetah can run up to 70 miles per hour. About how fast is this in feet per second?
Answer:
An adult cheetah can run 103 feet per second!
Step-by-step explanation:
First we need to convert our miles to feet, there are 5,280 feet in one mile.
So 70 miles multiplied by 5,280 feet is 369,600 feet.
Now we need to convert an hour to seconds.
There are 60 seconds in one minute, so we multiply 60 seconds by 60 minutes, there are 3,600 seconds in one hour.
Now we need to divide the number of feet by the number of seconds.
369,600 ÷ 3,600 = 102.666667
102.666667 rounded to the nearest whole number is 103.
What is 5/9 divided by 1/2 rewritten with an improper fraction
The division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.
Given that the expression 5/9 divided by 1/2.
To rewrite the division expression 5/9 divided by 1/2 as an improper fraction, and perform the division operation and express the result in the form of a single fraction.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, multiply 5/9 by the reciprocal of 1/2.
Reciprocal of 1/2 = 2/1
So, the division expression can be rewritten as:
5/9 ÷ 1/2 = 5/9 x 2/1
Multiplying the fractions:
(5 x 2) / (9 x 1) = 10/9
An improper fraction is one where the numerator is equal to or greater than the denominator. In this case, 10/9 is an improper fraction because the numerator (10) is greater than the denominator (9).
Therefore, the division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.
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Which two triangles are congruent? Complete the congruence statement.
Answer:
∆VXW and ∆BDC are congruent
Step-by-step explanation:
to proof:∆VXW and∆BDC are congruent
proof:
statements reasons
1.in ∆VXW and ∆BDC, 1.
i.VW=BD(S) i.given
ii.VX=CD(S) ii.given
iii.XW=BC(S) iii.given
2.∆VXW and∆BDC 2.using S.S.S axiom
are congruent
hence proved.
Chris wrote an equation and the first step of his solution process, as shown.
6 = 12 − 6x
-6 = -6x
Which math operation did Chris apply in his first step?
A) He divided 16 by 4.
B) He added 12 to each side of the equation.
C) He divided each side of the equation by 4.
D) He subtracted 12 from each side of the equation.
Please help me
HELP ANSWER X FOR THIS ISOSCELES TRIANGLE THANK YOU
Answer:
Step-by-step explanation:
Remark
The point about the question is that the two sides are marked as equal.
Equation
3x + 5 = 5x + 1 Subtract 3x from both sides
Solution
3x - 3x + 5 = 5x - 3x + 1 Combine like terms
5 = 2x + 1 Subtract 1 from each side
5-1 = 2x +1 - 1 Combine
4 = 2x Divide by 2
4/2 = 2x/2
x = 2
Ok the question is on here now... The first person who answers it correct gets brainliest...
2 is a prime number and a integer
24 is a whole number and an integer
1 is an integer and a whole number
0 is a rational, whole, integer and real number
and seven is a whole and integer
HELP ASAP!! WILL MARK BRAINLIST!!!!!!!
Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs. If he plays a total of 1272 games in his career, approximately how many home runs will he hit?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.
Answer:
120 home runs.
Step-by-step explanation:
Let x be the number of home runs after playing 1272 games.
We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.
Let us find the probability of hitting home runs in next game.
To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.
So we can set a proportion as:
Let us multiply both sides of our equation by 1272.
Therefore, Derek Jeter will hit approximately 120 home runs in his career.
In his career, Derek Jeter will probably hit 120 home runs.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
Let x be the number of home runs after playing 1272 games.
And given, Derek Jeter hits 15 home runs in 159 games.
To find the number of home runs he hit in 1272 games,
x = 1272 x 15 / 159
x = 120
And to find the proportion:
15x = 120
x = 120/15
x = 8
We can calculate the Cross Product this way:
cross product with angle and unit vector
a × b = |a| |b| sin(θ) n
Therefore, Derek Jeter will hit approximately 120 home runs in his career.
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How can you write the number 1 as a power with base 2? a power with base 10?
plz i really need help it would mean alot
Answer:
2^1 ? 10^x
Step-by-step explanation:
1 can be written as a power with base 2 as [tex]2^0[/tex].
1 can be written as a power with base 10 as [tex]10^0[/tex].
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To write the number 1 as a power with base 2,
We can use the following formula:
[tex]2^0[/tex] = 1
Therefore,
1 can be written as [tex]2^0[/tex].
To write the number 1 as a power with base 10, we can use the following formula:
[tex]10^0[/tex] = 1
Therefore,
1 can be written as [tex]10^0[/tex].
Thus,
1 can be written as a power with base 2 as [tex]2^0[/tex].
1 can be written as a power with base 10 as [tex]10^0[/tex].
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PLZZ HELPP IM FAILLING
What number could be a common denominator for these three fractions?
1/2 and 1/3 and 1/4
Answer:
12 would be a common denominator
Step-by-step explanation:
2 4 6 8 10 (12)
3 6 9 (12)
4 8 (12)
A cab driver charges a fixed rate of $3 plus an additional $1.50 for each mile driven. When representing this situation with a function rule, which of the
following would be the independent variable?
7.5- x = 2.8
x= 4.7
x= 5.3
x= 5.7
x= 10.3
Answer:
10.3
Step-by-step explanation:
7.5+2.8=10.3
You reverse the equation. :)
HELP
Which statements are always true regarding the
diagram? Select three options.
Omz5 + mz3 = mz4
Omz3 + mz4 + mz5 = 180°
Dmz5 + mz6 =180°
Dm2 + mz3 = mz6
Omz2 + mz3 + mz5 = 180°
Answer:
Step-by-step explanation:
m∠5 +m∠6 = 180° ( the angles form a line)
m∠2 + m∠3 = m∠6 ( exterior angle is the sum of 2 not adjacent angles)
m∠2+m∠3+m∠5= 180° (sum of angles in a triangle is 180°)
1. Round each length to the nearest inch.
a) [tex]1 \frac{1}{4} [/tex] ____"
b) [tex] \frac{7}{8} [/tex] ____"
c) [tex]1 \frac{1}{2} [/tex] ____"
d) [tex]2\frac{5}{8} [/tex] ___"
e) [tex]1\frac{5}{16} [/tex] ___"
f) [tex]4\frac{11}{16} [/tex] ___"
2. Round each length to the nearest foot.
a) 10" _____'
b) 2'9" ____'
c) 2'6" ____'
d)2'9" ____'
e)1'2" ____'
f)9'3" ____'
9514 1404 393
Answer:
1. 1, 1, 2, 3, 1, 5
2. 1, 3, 3, 3, 1, 9
Step-by-step explanation:
1. Any fraction of an inch that is 1/2" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want. Of course ...
1/2" = 2/4" = 4/8" = 8/16"
a) 1"
b) 1"
c) 2"
d) 3"
e) 1"
f) 5"
__
2. Any inch measure that is 6" or more will cause the integer value to increase by 1. Otherwise, the integer value is the one you want.
a) 1'
b) 3'
c) 3'
d) 3' . . . same as B
e) 1'
f) 9'
Mrs. Holcomb has joined Weight Watchers. She would like to lose 12 kg in 30 days. On the average, how many pounds per day will Mrs. Holcomb need to lose to meet her goal? (2.2lbs. = 1 kg)Immersive Reader
Options are below
0.44 lbs.
0.88 lbs.
1.1 lbs.
2.5 lbs.
Answer: 0.88 lbs.
Step-by-step explanation:
12/30 = 0.4 (she needs to lose 0.4 kg everyday)
0.4 x 2.2 = 0.88 lbs
please help me due in 10 min please help
What is the value of f(4)?
f(4)=_______
Please help the question is in the photo
Answer:
SSS or SAS
Step-by-step explanation:
i just want to tell everyone their doing great
A=1/2w(b+c) solve for c
9514 1404 393
Answer:
c = 2A/w -b
Step-by-step explanation:
Multiply by the inverse of the coefficient of the parentheses.
[tex]A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}[/tex]
Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the difference in his speeds is 13.5 km/hour?
x – 41.5 = 13.5
41.5 + x = 13.5
13.5 – x = 41.5
13.5 – 41.5 = x
Answer: A) x-41.5=13.5
Step-by-step explanation: edge
Answer:
a is correct
Step-by-step explanation:
The equation y = 1.09x describes the approximate number of yards y in x meters. About how many meters is a 40 yard race?
Answer:
I have summoned the math demon
Step-by-step explanation:
they will show you
CAN I HAVE HELP!!!!!!!!!!!
Pedals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?
Answer:
Break-even point in units= 500
Step-by-step explanation:
Giving the following information:
Fixed costs= $100,000
Unitary variable cost= $100
Selling price per unit= $300
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 100,000 / (300 - 100)
Break-even point in units= 500
Uriah deposited a check into his account for $310.64. Then, he withdrew 129.43 in cash in the same transaction. What is the net amount of Uriah's transaction?
A pack of 6 gatorades costs $4.50. What is the price per Gatorade?
Answer:
$0.75
Step-by-step explanation:
Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.
4.50/6=0.75
Thus, $0.75 is your answer.
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The corner store sells pears at a rate of $2.50 per pear. If Fiona has $15.00 dollars, how many pears can Fiona buy?
Answer:6
Step-by-step explanation:
If you divide 15 by 2.50 or 2.5 you get 6 and Fiona can get 6 pears with 15 dollars
Find the inverse of function f
Answer:
ummm ive never saw this math in my life before lol