Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.
The price of a staff ticket and the price of a student ticket is $8 and $14
Given:
Day 1:
Number of staff tickets sold = 3
Number of students tickets sold = 1
Total revenue day 1 = $38
Day 2:
Number of staff tickets sold = 3
Number of students tickets sold = 2
Total revenue day 2 = $52
let
cost of staff tickets = x
cost of students tickets = y
The equation:
3x + y = 38 (1)
3x + y = 38 (1)3x + 2y = 52 (2)
subtract (1) from (2)
2y - y = 52 - 38
y = 14
substitute y = 14 into (1)
3x + y = 38 (1)
3x + 14 = 38
3x = 38 - 14
3x = 24
x = 24/3
x = 8
Therefore,
cost of staff tickets = x
= $8
cost of students tickets = y
= $14
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Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Answer:
(x-7)(x^2-5)
Step-by-step explanation:
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Step-by-step explanation:
so, he predicted he had 12 questions wrong.
that would have been a score of 38.
but he got 42.
that is a difference of 42-38 = 4.
now, accuracy could have different meanings like actual score vs. predicted score, or which questions were right or wrong (for real or predicted), or only looking at the questions that were right (real vs. predicted), ...
I assume it is the first one.
so,
100% = 38 (prediction)
1% = 100%/100 = 38/100 = 0.38
how many % are these 4 questions that his prediction was off from reality ?
4 / 0.38 = 10.52631579...
so, his prediction was off by about 10.53%
please help me with this
Forty percent of the beads in a bag of more than 10,000 beads are yellow. Suzy pulls out 10 beads, one at a time with replacement, and notes that eight of these beads are yellow. She says the next bead pulled out will not be yellow because a yellow bead has been pulled out too many times in a row.Is Suzy’s reasoning correct?
Answer:
No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.
Answer:
D I believe
Step-by-step explanation:
Evaluate the expression-3 x + 4 when x = 2.
Answer:
-2
Step-by-step explanation:
-3x + 4
-3(2) + 4
-6 + 4
-2
Substitute in 2 for x, and solve.
A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?
Answer:
(3/4)pi
Step-by-step explanation:
Find the areas of the two circles and then subtract the smaller from the larger:
A of circle = (pi)r^2
Case 1: r = 1 unit: A = (pi)(1) = pi
Case 2: r = 1/2 unit: A = (pi)(1/2)^2 = pi/4
The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi
Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?
Answer:
She sold 14 items
Step-by-step explanation:
530 - 180 = 350
350 / 25 = 14
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?
well im guessing it the average highway speed 60 mph so it is $7
One spring day, Aisha noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Aisha's data.
Answer:
See attachment
Step-by-step explanation:
which of the following is the slope of a line perpendicular to the line defined by y-2=3x
Step-by-step explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y=mx+
lb
Where
m
is the slope and
b
is the y-intercept value.
y
=
−
4
x
+
1
Therefore, the slope of the line represented by the equation in the problem is:
m
=
−
4
Let's call the slope of a perpendicular line:
m
p
The slope of a perpendicular line is:
m
p
=
−
1
m
Substituting gives:
mp=
[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]
9. The area of a rectangular fence is 300 square feet. If the width of the
fence is 15 feet, then find its length.
Answer:
20 feet
Step-by-step explanation:
The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.
each ball has a diameter of 60mm
which has the smallest surface area?
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.
Answer:
The interest is $0.03
Step-by-step explanation:
($720*0.014)/365
The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
P =$720
r = 1.4% = 0.014
n = 365
t = 1 day
[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]
After solving:
A = $730.15
The interest I = A - P
I = $730.15 - 720
I = $10.15
Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
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Please help! Will mark brainliest.
Convert into an exponential expression.
Answer:
Step-by-step explanation:
5√7²=5√49=9.8
Just a very quick question for any people willing to answer this question.
4 less than the number n is -15.
(Please type equation and solution!)
Answer:
n=-11
Step-by-step explanation:
n-4=-15
n-4+4=-15+4
n=-11
The price of trail mix at a health food store is
$7.50 per pound. At that rate, what is the total
cost of three 8-ounce bags of trail mix?
Answer:
$3.75 every 8 oz bags.
Step-by-step explanation:
7.5 divided by 2 to get 3.75. 1 LB is equal to 16 oz so 8 is half of 16.
volume of a cube with 7,5 cm
Answer:
421.88
Step-by-step explanation:
7.5^3=421.88
2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:
Step-by-step explanation:
Combining like terms occurs at this step:
3x - 6 + 6 = 3 + 6
Combining the - 6 + 6 =and 3 + 6 yields:
3x = 9
Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest
(2.5×10^6)–(2.3×10^6)
Answer:
2×[tex]10^{5}[/tex]
aka 200000
Step-by-step explanation:
Owen's score in a card game is 6
points away from zero. If David's score
is the opposite of Owen's and is a
positive value, what is David's score?
Answer:
aaa is easy you can pitch the ball
Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).
What is absolute value of a number?The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.
We have Owen's score in a card game is 6 points away from zero. David's score is the opposite of Owen's and is a positive value.
For a number [x], such that [x] < 0, the absolute value would be -
v[a] = -x
A number cannot be negative and positive at the same time, therefore, Owens score is 6 points away from 0, but in the negative direction of number line. So, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).
Therefore, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).
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Difference between 42.4 and 3.74
Answer:
38.66
Step-by-step explanation:
3 (x-1)=3x-×-3-3+x+3
True or false
true
Step-by-step explanation:
Answer:
3x-3
Step-by-step explanation:
So false if you Multiply
I don’t know what I got wrong on this problem. Can someone please help me?
Answer:
x is equal to the length of that side of the triangle, the x is written on (the distance between the log ride and the pirate ship). You can visually see that both of the long sides of that triangle are equal. See how they look the same? The other side of that triangle (the distance between the Big Top Tent and the Pirate Ship) has a given length written, it says "25 m." So the x side, which is equal is also 25 m. The value of x is 25 m.
Step-by-step explanation:
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m
Answer:
1 I think can you make sure?
the difference of 3 times a number and 2 times that same number is 80.what is the number
What Is the Intersection of Two Sets
Answer:
the set of elements that are common to each of the given sets
Step-by-step explanation:
Can someone help me pleaseeeeeee :( no links pleaseee
a) Keith's car will have less gas.
Locate the point in which miles driven = 90 (Between 60 and 120)
Since Keith's line is lower than Carmen, he has less gas.
We can also find the difference: 11 - 10 = 1.
It will have 1 less gallon.
b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.
Before 180 miles, Keith's car will always have less car remaining.
The price of a t-shirt is $15. If you buy more than 4 shirts, you will get 15% discount. How much do you have to pay (before tax) if you buy 8 shirts?