Answer:
y = 2x + 5
Step-by-step explanation:
To find the slope given a table of x and y coordinates, you use the point-slope formula, which is y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.
In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.
(13-9) / (4-2)
This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.
Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).
In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13
the equation would be: 13 = 2(4) + b
13 = 8 + b
b = 5
Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5
Hope this helps!
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Answer:
36
Step-by-step explanation:
We can use the is/of=%/100 proportion...
x = 90
40 100
First, we need to multiply 90 by 40. 90x40=3,600.
Next, we have to divide 3,600 by 100. 3,600/100=36.
Rose needs to get 36 questions correct to get at least a 90%.
Hope this helps!! Have a great day C:
Write down the ratio of 450 grams to 15 grams
The ratio of 450 grams to 15 grams is 30:1.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio of 450 grams to 15 grams
So, the ratio is
= 450/ 15
= 30 / 1
Hence, the ratio of 450 grams to 15 grams is 30:1.
Learn more about ratio here:
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3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.
Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as [tex]\large\rm x[/tex]
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as [tex]\large\rm x + 8[/tex].
In 3 years, Adrian's age will be [tex]\large\rm (x + 8) + 3[/tex] and Jose's age will be [tex]\large\rm (x + 3)[/tex].
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
[tex]\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}[/tex]
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
[tex]\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}[/tex]
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.[tex]\\\\[/tex]
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PLZ CAN YOU EXPLAIN HOW YOU SOLVED THE ANSWERS
1) Find the mean
12,13,15,15,16,19,19,19,20,21,25
A) 17.64
B) 19
C) 15
2) find the mean
42,53,54,55,59,59,60,63,65,67,70,71,73
A) 60
B) 59
C) 60.85
3) find the mean
6,6,8,7,10,14,13,6,5,7,8,10,13,6,7
A) 6
B) 8.4
C) 7
Answer:
1: A) 17.64
2; C) 60.85
3: B) 8.4
Step-by-step explanation:
May I have brainiest please I'm trying to level up!
</3 PureBeauty
What is the volume of this rectangular pyramid?
9 mm
7 mm
7 mm
I need help. How do i solve this?
Answer:
C
Step-by-step explanation:
Cool
WHOEVER ANSWERS FIRST GETS BRAINLIEST AND 100 POINTS
0.1*√20000
-0.05*√28800
Answer:
0.1*√20000 = 14.1421356237
-0.05*√28800 = -8.48528137424
Step-by-step explanation:
What is the driving time for a 2900 mile trip if you drive at an average speed of 50 miles per hour? What is the driving time at 69 miles per hour?
Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft
Answer:
It would be 45 gallons for 6ft
15 gallons for 2 feet
Step-by-step explanation:
Can someone help? I don't understand the equasion
Answer:
a = 1/6
Step-by-step explanation:
To solve, divide both sides by 5 1/4
a = 7/8 / (5 1/4)
a = (7/8) / (21/4)
a= 7/8 * 4/21
a= 28/168
a= 1/6
Solve using elimination.
5x + 7y = -6
4x + 7y = -9
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.
Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
46701813038
Step-by-step explanation:
In 2009, the world’s largest pumpkin weighed 784 kilograms. An average sized pumpkin weighs 5,000 grams. The 2009 world-record pumpkin weighs ______ kilograms more than an average sized pumpkin
Answer:
779 kg
Step-by-step explanation:
5,000 g = 5 kg, 784 - 5 = 779
ESAY MATH PLS HELP
is this sss,sa,aa,or none
Answer:
SAS
Step-by-step explanation:
Please help
Point____is plotted at -4/5
Answer:
C
Step-by-step explanation:
-4/5 is -0.8, which is at point C
plz brainliestt
Answer: C
Step-by-step explanation:
Point A is 4/5
Point B is -2/5
Point C is -4/5
Point D -1 4/5
Point D is
-4n-8=4(-3n+2) solve for n
Answer:
n=2 see the pic above
Step-by-step explanation:
i am very sure
Answer:
N = 2
Step-by-step explanation:
I got this answer right on Khan Academy.
Hope this helps! :)
Helpppppppppppppppppppppppppppp
Answer:
5
Step-by-step explanation:
4^2+3^2
=16+9=25
[tex]\sqrt{25}[/tex]=5
Will mark brainliest!!! Find the value of each variable in the parallelogram
Answer:
a = 9, b = 11
x = 2, y = 17
Step-by-step explanation:
opposite sides are equal in a parallelogram!
8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
Answer:
n = 19.6
Step-by-step explanation:
Given the expression;
1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)
Open the bracket
1.6 + 0.8n - 3.2 = 1.1n - 7.48
Collect the like terms
0.8n - 1.1n = -7.48 + 3.2 - 1.6
-0.3n = -5.88
n = -5.88/-0.3
n = 19.6
Hence the value of n is 19.6
Help please............
Answer:
-15 < -9 and |-9| < |-15| (the third one) is true.
Step-by-step explanation:
-15 is smaller than -9.
The absolute bars cancel out the negative sign.
9 is smaller than 15.
*GET 30 POINTS IF YOU ANSWER* NEED ASAP! Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.
Answer:
The equivalent equation would be 6-2+4x, which could be simplified down to 4+4x
Sophia´s expression is wrong because she did not distribute correctly.
Ursula´s expression is incorrect because she tried adding -4x with 2. This is incorrect because the 2 does not a variable or 2 does not have an x beside it, so you can not add them both together to try to get to the answer.
Step-by-step explanation:
6⁻(2-4x) Given
6(-2+4x) Distributive Property, this is when you multiply everything in the parenthesis that is outside which would be -1 multiplied by -2 and -1 multiplied by -4x.
Solve for x 3x-16 17x-382
Answer:
X = 9
Step-by-step explanation:
what is the sum of 7 3/16+3/4
Answer:
7 15/16
Step-by-step explanation:
find the same denominator which is 16
3/4x4/4 = 12/16
7 3/16+12/16= 7 15/16
probably bad explanation but hope it helps.. :)
Answer:
Mixed number-7 15/16
Exact form-127/16
Decimal-7.9375
Step-by-step explanation:
What is the value of y when x= 5?
Answer:7
Step-by-step explanation:7
d=7/2cm. The radius is ____ cm.
Answer:
r = 7/4
Step-by-step explanation:
Radius is always 1/2 of the diameter.
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 42
pencils. There are 14 students in her class and she divided up the pencils so that each student had the same amount of
pencils. If there were no pencils left over, how many pencils did each student get?
OA. 3
OB. 19
O C. 15
OD. 70
Answer: C
Step-by-step explanation: 5 times 42 equals 210, and 210 divided by 14 is 15! Good luck! :D
What is 3 1/4% of 500
Answer:
387500
Step-by-step explanation:
31/4/100×500
3100/4×500
387500
fill in the blanks _ + _ = 10.5
Answer:
there can be many answerrrs I guess
.
Step-by-step explanation:
5.25+5.25=10.5
2.5+8=10.5
have a great day :)
Combine like terms:
3x - 5y - 2x + 3 + 8y + 10
Answer:
x+3y+13
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
you will combine the like terms, x, y and numbers
3x-2x=x
-5y+8y=3y
3+10=13
x+3y+13
find the unit rate (constant of proportionality) for bobby
Answer:
Plss this question is Soo blurry I can't read it can u retake this plss?