Values in the question are missing ; we could get some input for the missing values and solve the question asked :
Jaclyn is training for a long bike ride. Right now, her longest ride is 36 miles. She plans to add 2 miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after 6 weeks. Do not include units in your answer.
Answer:
48 miles
Step-by-step explanation:
Given that:
Longest ride (initial) = 36 miles
Additional miles per week = 2 miles
y(x) = mx + c
c = initial ride ; m = rate (increase in miles per week) ; x = number of miles per week
Longest ride after 6 weeks will be :
[Longest ride (initial) + additional miles per week * number of weeks]
Longest ride after 6 weeks :
36 miles + (2 * 6)
36 + 12
48 miles after 6 weeks
The perimeter of a rectangle a picture frame is 66 inches. the length is 3 inches greater than the width the system of linear equations used to represent the situation shown below.
2X + 2Y = 66 and X +3 =Y
solve the system name dimension represented by each variable
Given:
The perimeter of a rectangular picture frame is 66 inches [2X + 2Y = 66.]The length of the frame is 3 inches greater than the width [X + 3 = Y.]To find: The dimensions.
Answer:
Formula to find the perimeter of a rectangle = 2 × (Length + Width)
We know that 2X + 2Y = 66. Simplifying it, we get:
2(X + Y) = 66
X + Y = 66/2
X + Y = 33
Now that we know the value of X + Y, and assuming X and Y to be the dimensions, let's substitute it into the formula to find the perimeter and verify it.
Perimeter = 2 × (X + Y)
66 = 2 × 33
It's verified.
Now, we also have the expression representing the length, which is X + 3 = Y.
X + Y = 33
X + 3 = Y
Let's add both expressions.
X + Y + X + 3 = 33 + Y
2X + Y + 3 = 33 + Y
2X = 33 - 3 + Y - Y
2X = 30
X = 30/2
X = 15
Hence, the width [X] is 15.
Substituting this value into the expression representing the length,
15 + 3 = Y
18 = Y
Hence, the length and breadth of the rectangular picture frame is 18 and 15 units respectively.
Hope it helps. :)
Find the equation of the line through (-1, 3) and (5,3)
Given:
A line passes through (-1, 3) and (5,3).
To find:
The equation of the line.
Solution:
The line passes through (-1, 3) and (5,3). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{3-3}{5-(-1)}(x-(-1))[/tex]
[tex]y-3=\dfrac{0}{5+1}(x+1)[/tex]
[tex]y-3=0[/tex]
Adding 3 on both sides, we get
[tex]y-3+3=0+3[/tex]
[tex]y=3[/tex]
Therefore, the equation of the line is [tex]y=3[/tex].
39. The ratio of new houses to antique houses in a village is 4:5. If there are
12 new houses, how many antique houses are there?
Answer: 15 antique houses
Step-by-step explanation:
New houses : Antique houses
4 : 5
12 : ?
12 ÷ 4 = 3
Multiply 5 by 3
5 × 3 = 15
12 : 15
There are 15 antique houses.
Daria earns a profit of $22.55 selling 11 tie dye shirts at market. How much will she make if she sells 23 shirts next weekend
Answer:
$47.15
Step-by-step explanation:
22.55 divided by 11 is 2.05 so she made $2.05 on each shirt
2.05 x 23 is 47.15
Find the product (x - 5)(2x2 – X + 4).
A
2x3 - 11x2 + 9x - 20
B
2x3 + 9x2 - 11x + 20
С
2x3 + 11x2 - 9x + 20
D
2x3 - 11x2 - 9x - 20
Answer:
The answer is A
Step-by-step explanation:
1st step: x(2x^2-x+4) -5(2x^2-x+4)
2nd step: (2x^3-x^2+4x) (-10x^2+5x-20)
3rd step: combine like terms 2x^3-11x^2+9x-20
Find −64÷(−8) need help
Answer: The answer to -64 divided by 8 would be 8.
Good morning can y’all help me
Answer:
rate of change
Step-by-step explanation:
Answer:
Good Morning the answer is rate of change
Step-by-step explanation:
the duration of a flash from a camera is timed at 0.004 seconds accurate to 1 / 1000 of a second calculate the upper and lower bounds for the duration of the flash using in quality
Answer:
0.0035 ≤ x ≤ 0.0045
Step-by-step explanation:
Given that:
The error = 1/1000 = 0.001 / 2 = 0.0005 s
Hence, 0.004 ± Error
0.004 ± 0.0005
Lower boundary = (0.004 - 0.001) = 0.0035
Upper boundary = (0.004 + 0.001) = 0.0045
0.0035 ≤ x ≤ 0.0045
(20.8). (9.16)
what is the slope
Answer:
00ehrhrhrhdjrjrhejrjrjrjrjdjdjfjdhdhdhdhrjdjdjd
can someone explain this please ? I don’t know what not clicking for my brain
Answer:
1/4
Step-by-step explanation:
you can rearrange the problem to be
3/4 - 1/2
then you can convert to common denominators
3/4-2/4 = 1/4
Find the constant of proportionality from the equation below.*
y = 2/3x
Answer:
is the 9 seven for five 1233
A fair spinner has eight equal sections.
The sections are either yellow (Y) or green (G).
The spinner is spun 3 times.
List all the possible outcomes of the 3 spins.
One has been done for you. YYY,
2 marks
Answer:
The first one is already giving to us YYY so
the answer is GGG,YGY,GYG,YYG,GGY,YGG,GYY
Step-by-step explanation:
A large corporation gave an assessment to its candidates for supervisory positions. The candidates were sorted into successful and unsuccessful groups based on whether they passed the assessment. The data is summarized in the table shown.
Of the candidates not selected for supervisory positions, how many were successful on the assessment
86
128
214
300
Answer:
214.
Step-by-step explanation:
According to the table, The number of people that were successful (The row that follows the word "Successful") and not selected (The Column that follows the words "Not selected") were 214 of the candidates.
To find the answer to this question, you have to find where the Row labeled "Successful" and Column labeled "Not Selected" intersect.
I hope this helped!
Answer:
214
Step-by-step explanation:
Please help me with number 13 and 14
Answer:
13: Irrational
14: 1.091 x 10 with a exponent of 9
Answer:
[tex]the \: first \: one \: is \: irrational \: numbe \: and[/tex]
[tex]the \: second \: one \: is \: 1.091 \times {10}^{9} [/tex]
Step-by-step explanation:
Rational number do not include radical numbers
Look at this diagram.
If QS and TV are parallel lines and m<TUR = 113°, what is m<QRP?
___°
Answer:
90
hope this helps!:)
Step-by-step explanation:
What is the value of m in the equation 2m - (m + 1) = 0?
URGENT PLEASE: You purchase a new guitar and take out a loan for $450. You have 18 equal monthly payments of $28 each. What is the simple interest rate for the loan? Round to the nearest tenth of a percent, if necessary.
Stephanie has a fish tank with 8 adult fish and 36 baby fish. What is the ratio of adult fish to baby fish in the tank?
Answer:
2:9
Step-by-step explanation:
8 adult fish:36 baby fish
To simply both, divide by 4
2 adult fish: 9 baby fish
The function f is defined by the following rule f(x) = 5x -5 Complete the function table. -5 -1 I 2 3 4
Answer:
x f(x)
-5 -30
-1 -10
2 5
3 10
4 15
Step-by-step explanation:
Let us solve the question
∵ The function f is defined by the rule f(x) = 5x - 5
∵ x = -5
→ Substitute x in f by -5 to find the value of f(-5)
∴ f(-5) = 5(-5) - 5 = -25 - 5 = -30
∴ f(-5) = -30
∵ x = -1
→ Substitute x in f by -1 to find the value of f(-1)
∴ f(-1) = 5(-1) - 5 = -5 - 5 = -10
∴ f(-1) = -10
∵ x = 2
→ Substitute x in f by 2 to find the value of f(2)
∴ f(2) = 5(2) - 5 = 10 - 5 = 5
∴ f(2) = 5
∵ x = 3
→ Substitute x in f by 3 to find the value of f(3)
∴ f(3) = 5(3) - 5 = 15 - 5 = 10
∴ f(3) = 10
∵ x = 4
→ Substitute x in f by 4 to find the value of f(4)
∴ f(4) = 5(4) - 5 = 20 - 5 = 15
∴ f(4) = 15
please help, will give 10 points.
Answer:
length is 770 width is 410
Step-by-step explanation:
It takes 91 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
Answer:
[tex]0.109\ \text{acres per pound}[/tex]
Step-by-step explanation:
Given that,
It takes 91 pounds of seed to completely plant a 10-acre field.
We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.
[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]
So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].
QUESTION 8
Some seventh-, and eighth-grade students.spend time at
the elementary school tutoring students. Of the students
who tutor, 21 are seventh-graders and 18 are
eighth-graders. What percent of the tutors are
seventh-graders?
A) 54%
B) 46%
C) 52%
D) 21%
Use a graphing calculator to solve (1/4) ^ x+2 = 6:
Answer:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x = − 2 − ln ( 6 )/ ln ( 4 )
Decimal Form:
x = −3.29248125 …
Hope this helps!
Which is the graph of the linear equation y = -x?
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: −1
y-intercept: (0,0)
x y
0 1
0 −1
Step-by-step explanation:
Help please????????????
Answer:
hiiii i total can help im doing this in school
Step-by-step explanation:
D
Factor this problem and then use the Zero Product property to get the two solutions
6x²-23x+20
Answer:
(3x-4) x (2x-5)
Step-by-step explanation:
(3x-4)= x=12. ( 2x-5)= 10. x=10
put them in order from the least to greatest. You can use the number line to help!!
1) There were 11 bales of hay in the barn. Jason stacked more bales in the barn
today. There are now 79 bales of hay in the barn. How many bales did
he store in the barn?
Answer:
68
Step-by-step explanation:
79 - 11 is 68, so I think 68 is the answer.
Annabelle's initial balance in her checking account was $95.62. She deposited $35.79 and then withdrew $45. What is the final balance for her checking account?
Is the following conditional true?
If a number is divisible by 2, then it is divisible by 4.