9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
__
The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
_____
I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4
Adult tickets to a musical cost $15 and children's tickets cost $8. A total of 725 tickets were sold which brought in a total of $8775.
How many of each type of ticket were sold?
State the equation used to solve, along with both answers.
Given:
Cost of adult's ticket = $15
Cost of children's ticket = $8
Total tickets = 725
Total sales = $8775
To find:
The number of each type of ticket were sold.
Solution:
Let x be the number of adult tickets and y be the number of children's ticket.
Total tickets : [tex]x+y=725[/tex] ...(i)
Total sales : [tex]15x+18y=8775[/tex] ...(ii)
Multiply equation (i) by 15.
[tex]15x+15y=10875[/tex] ...(iii)
Subtract (iii) from (ii),
[tex]15x+18y-15x-15y=8775-10875[/tex]
[tex]3x=-2100[/tex]
[tex]x=-700[/tex]
Putting x=-700 in (i), we get
[tex]-700+y=725[/tex]
[tex]y=725+700[/tex]
[tex]y=1425[/tex]
Therefore, the number of adult tickets is -700 and number of child tickets is 1425.
Note: The number of tickets cannot be negative. So, there must be some error in the question.
the diagram shows a circle inside a square ABCDB AB = 20 cm. the radius of the circle is 9 cm. work out the area of the shaded region
Step-by-step explanation:
Area of the square = a²
= 20²
= 400cm²
Area of the circle = πr²
= 22/7 × 9²
= 22/7 × 81
= 254.57cm²
Area of the shaded region = Area of the square - Area of the circle
= 400cm² - 254.57cm²
= 145.43cm²
Jiro and Joey share a 30-ounce box of cereal. By the end of the week, Jiro has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answer:
6 ounce of cerealStep-by-step explanation:
Step one:
given that the box is 30 ounce of cereal.
for Jiro----who ate 3/10 of the 30 ounce
=3/10*30
=9 ounce
Jiro ate 9 ounce
step two:
for Joey----who ate 5/10 of the 30 ounce
=5/10*30
=15 ounce
Joey ate 15ounce
the total ounces that both of them ate is
=9+15
=24
therefore the ounce left
=30-24
=6 ounce of cereal
The left over is 6 ounce of cereal
2+10= 12
True or False??
Just for points:)
Answer:
True thank you for the points
Answer:
true
Step-by-step explanation:
2+10=12
true. do i get the points?
Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles
of grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water?
Answer:
Bottle of water = $2Bottle of grape juice = $1.50Step-by-step explanation:
Grape juice = gWater = wEquations:
3g + 5w = 14.502g + 3w = 9.00Subtract the 3 times the second equation from the twice the first:
2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.006g + 10w - 6g - 9w = 29 - 27w = 2Then, finding g:
3g + 2*5= 14.503g = 14.50 - 103g = 4.5g = 1.50Make & the subject of the
Formula
6x ta=5(x+t)
What is the answer please
Answer:
x = 5t - a
Step-by-step explanation:
The problem deals with making a variable the subject of the formula in the expression.
Given expression:
6x + a = 5(x + t)
We are to make x the subject of the formula in the expression
Solution:
6x + a = 5(x+t)
On the right hand side, expand the parentheses and distribute the term outside;
6x + a = 5x + 5t
Bring the term desired to be the subject to one side by adding (-5x) to both sides;
6x + (-5x) + a = 5x + (-5x) + 5t
x + a = 5t
Now add (-a) to both sides
x + a + (-a) = 5t + (-a)
x = 5t - a
PLEASE help find measure of angle - TEst review today
Answer:
both measured would be 25 and 19
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if x equals 4 then 21x+4 equals 88 and 23x-4 equals 88 too.
7/15 simplified I’ve tried everything!!PLEASE ANSWER ASAP
Answer:
You cannot simplify 7/15 to a smaller fraction. But you could divide 7 by 15 to get a decimal.
Step-by-step explanation:
Answer:
you can't simplify the number 7
Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?
Answer:
96 students attend chess club after school on Wednesday's.
Step-by-step explanation:
To solve this problem, simply multiply 800 x 0.12.
800 x 0.12 = 96
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!
Answer:
[tex]\huge\boxed{\text{96 students}}[/tex]
Step-by-step explanation:
In order to find how many students stay back for Chess Club, we want to find 12% of 800.
To do this, we can set up a percentage proportion.
[tex]\frac{12}{100} = \frac{x}{800}[/tex]
We can now solve for x by cross multiplying.
[tex]800 \cdot 12 = 9600\\9600 \div 100 = 96[/tex]
So, 96 students attend Chess Club on Wednesdays.
Hope this helped!
Find 0.038 as a fraction in its lowest terms
Answer:
19 / 500
Pls mark as brainliest!!!
Answer:
19/5
Step-by-step explanation:
If you're using a scientific calculator you will be able to find this answer by just simply pressing 0.038 x 100 divided by 1
Find the measures of the exterior angles of the polygon.
Step-by-step explanation:
180 - 34 = 146
one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124
divide that by two to get the measures of the remaining two angles (62 degrees)
180 - 62 = x
118 = x
:
/ = .
-- :
, . , - , ,
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
the y-intercept is 0
Step-by-step explanation:
it goes straight through the origin
Solve for s.
4s + 6s - 4 = 6
Answer:
s = 1
Step-by-step explanation:
4s + 6s - 4 = 6
10s - 4 = 6
+ 4 +4
10s = 10
10s/10=
s = 1
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
please help me answer will get brainliest
Answer:
32% is 0.32
6% is 0.06
93% is 0.93
150% is 1.5
12.5% is 0.125
Hope this helps!
WIll mark BRAINLIST!!
I attached the screenshot
Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100
Answer:
B and D
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
Answer:
A & E
Step-by-step explanation:
First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.
PLEASE HELP ME ASAP!!!!
Answer:
1 X 88=88
2 X 88=176
3X88=264
4X88=352
Step-by-step explanation:
PLEASE HELP ME AND EXPLAIN.
Answer:
9*8=72 which would be more than enough to cover the wall
Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?
Find the zero of the function.
f(x) = 4x2 – 12x + 9
The zero of the function is x=
Answer:
x= 3/2
Step-by-step explanation:
I apologize if it is wrong!
Which rational number equals 0.7 ? 1 10 Flo 11
Answer:
0.7 is a rational number... but 7/10
Step-by-step explanation:
Hope I helped!
Answer: This absolutely makes no sense
Step-by-step explanation:
1.) Jeffjust bought a house on a triangular lot. The
sides measure 85 feet. 132 feet, and 157 feet. Is his
lot a right triangle?
Answer:176 feet
Step-by-step explanation:because you multiply all sides of the triangle
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
Let x = the number of packages of pasta and y = the number of jars of pasta sauce.
One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?
How many packages of pasta?
How many jars of pasta sauce?
Explain your reasoning.
Answer:
8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total
Step-by-step explanation:
8 pack of pasta is 8$ and 8lbs
8 jars of sauce is 24$ and 12lbs
8 plus 12 is 20 which is the max of lbs Tyler can carry.
What is the 10th term in the sequence -3, -8, -13, ..
Answer:
-48
Step-by-step explanation:
The full sequence until the tenth term is...
-3, -8, -13, -18, -23, -28, -33, -38, -43, -48,
Answer:
-48
Step-by-step explanation: You don't really care about the explanation. You already got the answer. What are you still doing here, reading this?
The angles of a triangle are x,2x,3x. Find the value of x in degrees
Answer:
x=30°
Step-by-step explanation:
x +2x+3x=6x
since triangles are 180° in total. 6/180=30
so 30° is your answer.
A serving of bagel chips contains 20 grams of carbohydrates, 3 grams of fat, and 3 grams of protein. How many calories would be in the serving of chips?
1 gram of protein= 4 calories, 1 gram of carbs= 4 calories, 1 gram of fat= 9 calories.
Answer:
119 calories in a serving
Step-by-step explanation:
>>1 gram of carbs=4 cal
20 g of carbs times 4 calories per gram of carbs= 80 calories
>>1 gram of fat=9 calories
3 g of fat times 9 calories per gram of fat= 27 calories
>>1 gram of protein=4 calories
3 g of protein times 4 calories per gram of protein= 12 calories
<80+27+12=119 calories total in a serving of chips>
Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).
Answer:
y + 9 = [tex]\frac{1}{5}[/tex](x + 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{5}[/tex] and (a, b) = (- 4, - 9) , thus
y - (- 9) = [tex]\frac{1}{5}[/tex](x - (- 4) ) , that is
y + 9 = [tex]\frac{1}{5}[/tex](x + 4)
Find the surface area of the rectangular prism.
8 yd
4 yd
5 yd
Answer:
A=184
Step-by-step explanation:
Alexa took a test and lost 3 points for each of the 7 questions she got wrong. She earned an additional 5 points for answering a bonus question correctly. How many points did Alexa receive or lose overall?
Answer:
Alexa lost 16 points overall
Step-by-step explanation:
To determine whether Alexa had a net receipt or loss of points, we will fine the total points received or lost, and find the difference:
points lost:
3 point for each of the 7 questions she answered wrong
lost point = 3 × 7 - 21 points
Points received:
5 points for answering a bonus question
point received = 5 point
The points lost (21) is greater than the points received (5), hence, there was a net loss. The net loss is calculated as follows:
points lost - points received
= 21 - 5 = 16
∴ Alexa lost 16 points overall
Gas costs $2.07 a gallon.
Write an equation to model
this math situation.
How much will it cost for 15 gallons?
a
y=15x; $31.05
b
x=2.07y; $7.24
c
y=2.07x; $31.05
d
y=15x; $7.24