Answer:
Step-by-step explanation:
Arianna will always be 3 years older than Javier no matter how old he gets.
The table is given below.
The equation that relates the age of Arianna y to the age of Javier x is
y = x + 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
We can use the given information to complete the table as follows:
Javier(x) Arianna (y)
2 5
3 6
8 11
20 23
Now,
The equation that relates the age of Arianna, y, to the age of Javier, x.
We have,
y = mx + b, where m is the slope and b is the y-intercept.
We can use the first two points (2, 5) and (3, 6) to find the slope.
m = (6 - 5)/(3 - 2)
m = 1
Now,
The y-intercept,
(2, 5) = (x, y)
y = mx + b
5 = 1(2) + b
b = 3
Therefore,
The equation that relates the age of Arianna y to the age of Javier x is
y = x + 3
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answer these 4 questions
Answer:
11) A=84.7m²
12) A=75.2km²
13) A=28.05ft²
14) A=48yd²
Step-by-step Explanation:
11) A = 1/2(bh)
A = 1/2(14×12.1)
A = 1/2(169.4)
A = 84.7m²
12) A = 1/2(bh)
A = 1/2(16×9.4)
A = 1/2(150.4)
A = 75.2km²
13) A = 1/2(bh)
A = 1/2(5.1×11)
A = 1/2(56.1)
A= 28.05ft²
14) A = 1/2(bh)
A = 1/2(16x6)
A = 1/2(96)
A = 48yd²
Answer:
11) A=84.7m²
12) A=75.2km²
13) A=28.05ft²
14) A=48yd²
Step-by-step explanation:
what is your first step when solving x/15 = 3/5? Explain
I need this by tonight
Answer:
Let's solve your equation step-by-step.
x
15
=
3
5
Answer:
x=9
Step-by-step explanation:
Find the area of the
trapezoid (explain ur answer)
Answer:
49
Step-by-step explanation:
8*7=56
7*6=42
56+42=98
98/2=49
you save $15 per week to purchase a bike that costs $120. write and solve an inequality to find the number of weeks you need to save to purchase the bike.
Answer:
Must save 8 weeks or more to purchase the bike.
Step-by-step explanation:15*w >= 120 where W is the number of weeks.
w >= 120/15 = 8
You need to save $15 every week for the next 8 weeks in order to purchase the bike.
What is inequality in mathematics?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is that you save $15 per week to purchase a bike that costs $120.
Assume that you need [w] weeks to save $120 for the bike.
Amount earned per week [A] = $15
Amount earned in [w] weeks [W] = $15w
Money needed [R] = $120
The inequality can be written as -
[W] ≥ [R]
We can write it as -
15w ≥ 120
Solving the inequality, we get -
15w/15 ≥ 120/15
w ≥ 8
Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.
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Joon is buying lotion for her mom's birthday. The lotion was originally priced at $18 but is now on sale for 20% off. How much will Joon pay for the lotion?
Answer:
Discount price= $14.4
Step-by-step explanation:
Giving the following information:
Original selling price= $18
Discount rate= 20% = 0.2
To calculate the discount price, we need to use the following formula:
Discount price= selling price * (1 - discount rate)
Discount price= 18 * (1 - 0.2)
Discount price= $14.4
Using Pascal triangle, write down the binomial expansion of
[tex] {(1+y)}^{8} [/tex]
simplifying all the terms.
Answer:
1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]
Step-by-step explanation:
For the expansion of [tex](1+y)^{8}[/tex]
Using the row of Pascal's triangle for n = 8 , that is the coefficients are
1 8 28 56 70 56 28 8 1
Decreasing powers of 1 from [tex]1^{8}[/tex] to [tex]1^{0}[/tex]
Increasing powers of y from [tex]y^{0}[/tex] to [tex]y^{8}[/tex]
Then
[tex](1+y)^{8}[/tex]
= 1 . [tex]1^{8}[/tex].[tex]y^{0}[/tex] + 8. [tex]1^{7}[/tex].[tex]y^{1}[/tex] + 28. [tex]1^{6}[/tex].y² + 56. [tex]1^{5}[/tex].y³ + 70. [tex]1^{4}[/tex].[tex]y^{4}[/tex] + 56. 1³.[tex]y^{5}[/tex] + 28. 1².[tex]y^{6}[/tex] + 8. [tex]1^{1}[/tex].[tex]y^{7}[/tex] + 1. [tex]1^{0}[/tex].[tex]y^{8}[/tex]
= 1 + 8y + 28y² + 56y³ + 70[tex]y^{4}[/tex] + 56[tex]y^{5}[/tex] + 28[tex]y^{6}[/tex] + 8[tex]y^{7}[/tex] + [tex]y^{8}[/tex]
Answer:
y⁸ + 8y⁷ + 28y⁶ + 56y⁵ + 70y⁴ + 56y³ + 28y² + 8y + 1Step-by-step explanation:
Given binomial
(1 + y)⁸Expanding using Pascal triangle (attached)
Replace a and b with y and 1 in the bottom row of the triangle
(1 + y)⁸ = (y + 1)⁸ = y⁸ + 8y⁷ + 28y⁶ + 56y⁵ + 70y⁴ + 56y³ + 28y² + 8y + 1Find the X & Y value
Answer:
Step-by-step explanation:
x = 72°
y = 61°
help me please! someone?
Answer:
105 for 3 hours
Step-by-step explanation:
First we have to find that how much he is charged for 1 hour.
140 : 4 = 35 per hour
Then we have to find how much he is charged for 3 hours by multiplying with 3.
3 x 35 = 105 per 3 hours
Answer:
£105
Step-by-step explanation:
let y represent the unknown amount
£150 = 4 hrs
y = 3 hrs
we then cross multiply
£150 x 3 hrs = y x 4 hrs
450= 4y
divide both sides by 4
450/4 = 4y/4
105 = y
Erik and Heather weigh a total of 260 pounds. If Erik weighs 135 pounds, how much does Heather weigh?
Answer:
subtract 260-135=120
Step-by-step explanation:
Explain why the relation represented by each equation is or is not linear.
a. y=2+3x
b. y=2x(x - 5) - 2x2
C. y=4x2
d. y= 500
Please help T-T
Answer:
A, b, c, y are linear becouse every value of domain has one value in range
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
Order the numbers from least to greatest 3/10, 0.34, 27%, 3/8
Answer:
3/10,3/8,27%,0.34
Step-by-step explanation:
Answer:
27%, 3/10, 0.34, 3/8
Step-by-step explanation:
I just made them all decimals (same as percent)
3/10=0.30
3/8= 0.375
hope this helps pls mark brainleist
find the value of given expression
[tex] \sqrt{312 \times 312} [/tex]
Step-by-step explanation:
[tex]
\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312
[/tex]
Hope it will help :)❤
Answer:
√{312×312}=√312²=±312 is your answer
You collect a random sample of size n from a population and calculate a 98% confidence interval. Which of the following strategies produces a new confidence interval with a decreased margin of error?
A: Use a 99% confidence level.
B: Use a 95% confidence level.
C: Decrease the sample size.
D: Use the same confidence level, but compute the interval n times. Approximately 2% of these intervals will be larger.
E: Nothing can guarantee that you will obtain a larger margin of error. You can only say that the chance of obtaining a larger interval is 0.02.
Answer:
B: Use a 95% confidence level.
Step-by-step explanation:
In the case when the random sample size from a population is collected and it determined the 98% confidence interval so that decrease the margin of error is to use a 95% confidence interval as it is needed to have a less critical value
So according to the given options, the option B is correct
In the diagram below, what is the measure of the missing angle?
Answer:
Answer is 62 degrees.
Step-by-step explanation:
The sum of all angles of a triangle is 180°
x + 70 + 48 = 180
x + 118 = 180
x = 180 - 118
x = 62
16. Jefferson High School has an enrollment
of 1,864 students. In May, 564 students will
graduate. How many students will be enrolled
after graduation?
Answer:
1,300 students
Step-by-step explanation:
1864 - 564 = 1300
-18+x=-x+12
This one ??
Answer:
X = 15
Step-by-step explanation:
Let's solve your equation step-by-step.
−18+x=−x+12
Step 1: Simplify both sides of the equation.
x−18=−x+12
Step 2: Add x to both sides.
x−18+x=−x+12+x
2x−18=12
Step 3: Add 18 to both sides.
2x−18+18=12+18
2x=30
Step 4: Divide both sides by 2.
2x/2 30/2 = 15
27 is 50% of what number? Enter your answer in the space below.
Answer:
54
Step-by-step explanation:
A taxi driver works out the fare for a journey, C pounds, using the formula , C=50h+0.5d where h is the hours driven and d is the distance travelled in km. What is the fare for a journey of 12 km that takes 0.5 hours?
Answer:
31
Step-by-step explanation:
Five less than twice the value of a number is equal to three times the quantity of four more than ½ the number. What is the number?
Step-by-step explanation:
(2x-5) = 3(4+x/2) then solve for x.
2x-5 = 12 + (3/2)x
2x-(3/2)x = 17
x/2 = 17
x=34
Checking the left side, (2x-5) = 2(34) - 5 = 63.
Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.
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Explain when you should reverse the inequality symbol when solving an equality.
Answer:
To do this, subtract 6 from both sides. − 3_x_ + 6 − 6 > 12 − 6. −3_x_ > 6. Now divide both sides of the inequality by −3. Since you're dividing by a negative number, you need to flip the inequality sign.
Step-by-step explanation:
If X:Y = 4:5 and x+y=144, then the values of x and y respectively are
A= 74 and 70
B= 70 and 74
C= 80 and 64
D= 64 and 80
Answer:
b
Step-by-step explanation:
domt knowsjsbjsodnsodndjdns
Solve each equation.Show your work.
Can someone help me please??
Answer:
1/2a = -5
a = (-5 x 2) : 1
a = -10
8 - b = 9,5
b = 8 - 9,5
b = -1,25
0,1 = -10c
c = 0,1 : -10
c = -0,01
I hope it's helpful.
What two numbers multiply to get 7 and add to get -8
Answer:
-7 and -1
Step-by-step explanation:
-7x-1=7
-7-1=-6
-7 and -1
- have a great day
suppose the expression was (12-3) to the second power would you have to still simplify 3 to the second power first explain
You would take which ever number is taken to the power sat it was 12 to the power of 2+4, you would take the 12 not the 4, Hope this helps!
Approximately how much fuel can fit into a tanker truck with a radius of 4 feet and a height of 32 feet?
ABC is reflected over the y-axis what are the vertices of A'B'C'
Please help this is for my final
Answer: It is D
Step-by-step explanation: its is the placement Pretty basic.
Answer: D
Step-by-step explanation:
ap3x verified!!!
Two trains, train a and train , weigh a total of 466 tons. Train A is heavier than train b. The difference of there weights is 326 tons. What is the weight of each train
Answer: A = 396 tons
B = 70 tons
Step-by-step explanation:
From the question,
Weight of A + Weight of B = 466
Weight of A - Weight of B = 326
A + B = 466 ......... i
A - B = 326 ..........ii
Subtract equation ii from I
2B = 140
B = 140/2
B = 70 tons
A = 466 - 70
A = 396 tons
A table showing pairs of r- and yvalues is shown below.
х
у
0 0.5
1 1.5
2. 4.5
3 13.5
4 40.5
Which equation describes the relationship between the pairs of r- and y-values?
Answer:
4
Step-by-step explanation:
How to find a side of a square when area is given?
Answer:
length =√area use this formula
The side length of square can be found by taking the square root of Area.
What are Squares?Square are closed polygons which consist of four sides and four angles.
Each angle is 90 degree.
All the sides are of equal length.
So, by the definition of square, we know that the side lengths of square are equal.
The formula to calculate the area of the square is,
Area = a², where a is the length of one side of the square.
Let Area be given, let it be equal to A.
Then,
a² = A
Taking square root on both sides,
a = √A
Hence the side length is found by taking the square root of Area.
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What is 3/4 divided by 2
Answer:
[tex] \frac{3}{8} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \div 2 \\ \\ = \frac{3}{4} \times \frac{1}{2} \\ \\ = \frac{3 \times 1}{4 \times 2} \\ \\ = \frac{3}{8} [/tex]