Terry is drawing isosceles triangles with side lengths a, b, and c such that
a = y − x
b = x + z
c = y − z
Where x, y, and z are positive integers and x + y + z < 10.
Find all the possible triples (a, b, c) that satisfy this.
9514 1404 393
Answer:
{2, 2, 2}, {2, 3, 3}, {2, 4, 4}, {3, 2, 3}, {3, 3, 2}, {3, 3, 4}, {3, 4, 3}, {4, 2, 4}, {4, 3, 3}, {4, 4, 2}, {5, 2, 5}, {6, 2, 6}
Step-by-step explanation:
The requirement that side lengths be greater than 0 means that ...
y > x > 0
y > z > 0
Then possible values for x and z are 1, 2, 3, and possible values for y are 3, 4, 5, 6, 7.
When we list the possibilities, and exclude those that do not give isosceles triangles, we find the values of {a, b, c} can be those listed above.
What’s the value of the question mark?
Answer: 15/30 = 5/10
Step-by-step explanation: 5/10 = 1/2 so then you'd have to make 15/ something double it so It would equal 1/2 hope this helps :)
Shawn bought a hat for $17.00, shorts for $24.00 and a shirt for $12.00. How much did he spend in all?
PLEASE HELP!
Answer:
$53
Step-by-step explanation:
17+24=41
41+12=53
Answer:
$53
Step-by-step explanation:
17+24=41
41+12=53
5+(x-11)=5x+14
help please
Answer:
x= 2
Step-by-step explanation:
Charlie and Alice drove to Miami. The total distance was 120 miles. Charlie drove 90 of the miles.
What percent of the distance did Charlie drive?
Answer:
its 30
Step-by-step explanation:
School fundraiser Amy sold 28 bags of popcorn and 40 candy bars and made to 282. Sarah sold 17 bags of popcorn 20 candy bars and made 160.50 the cost for a bag of popcorn in
Answer:
cost of popcorn bag is 6.5
Step-by-step explanation:
Here, we want to find the cost of a popcorn bag
let the cost of a bag of popcorn be p
let the cost of a bag of candy bar be c
Mathematically;
28p + 40c = 282
17p + 20c = 160.50
Multiply ii by 2 and subtract from i
28p + 40c = 282
34p + 40c = 321
34p-28p = 321-282
6p = 39
p = 39/6
p = 6.5
y(2v+3)=y^3+18
Show with solving steps
Answer:
y(y+1)(y-3)=-18
Step-by-step explanation:
[tex]y(2y+3)=y^3+18\\2y^2+3y=y^3+18\\-18=y^3-2y^2-3y\\-18=y(y^2-2y-3)\\-18=y(y^2-3y+y-3)\\-18=y(y(y-3)+(y-3))\\-18=y(y+1)(y-3)\\y(y+1)(y-3)=-18\\[/tex]
Complete the point-slope equation of the line through (-1,-10) and (5,2)
y-2=
12. Using the equation y = -4(x + 2) give the:
a. x intercept
b. y intercept
Answer:
Step-by-step explanation:
y = -4(x + 2)
y = -4x + 2 *(-4)
y = -4x - 8
a) At x intercept, y= 0
-4x - 8 = 0
-4x = 8
x = 8/-4
x = (-2)
X intercept = -2
b) y- intercept = -8
1 5/6 - 3/8 Can someone Plz help me this Math Problem??
Answer:
1 11/24
Step-by-step explanation:
1 5/6- 3/8
= (1-0) + ( 5/6 - 3/8)
= 1 + 5x4/6x4 - 3x3/8x3
= 1 + 20/24 - 9/24
= 1 + 20 - 9/24
= 1 + 11/24
= 1 11/24
complete the square for the function y=x²+4x
Answer:
y==(x+2)²-4
Step-by-step explanation:
y=x²+4x
=(x+2)²-4
(x+2)²==x²+4x+4
Teri ran 8 kilometers. One mile is approximately equal to 1.6 kilometers.
Answer:
5 miles
Step-by-step explanation:
8 divided by 1.6 is 5
5 miles = 8 kilometers
Find the value of f(-9).
Answer:
f(- 9) = 2
Step-by-step explanation:
f(- 9) is asking for the value of y when x = - 9
Locate x = - 9 on the x- axis
Then go vertically up to meet the graph at (- 9, 2 )
Thus when x = - 9, y = 2 , that is
f(- 9) = 2
2. A farmer earns $4 for each bushel of corn he sells. The equation y = 4x can be used to
represent this situation, where x is the number of bushels of corn sold and y is the total amount
earned. What is the range that would represent this situation if no more than 1,000 bushels of
corn are sold?
Answer:
A
Step-by-step explanation:
Since x represents the bushels of corn that will be our variable. X (our number of bushels) is greater than or equal to zero, but x is less than or equal to 1000 since it is no greater than 1,000/
7. You are saving $12 per week to purchase a new kayak. Prices start at $300 and
go up. Your parents give you $144 to help you purchase your kayak. Write and
solve an inequality to find the number of weeks you need to save to purchase the
kayak.
Your answer
Please help will mark brainliest!
Answer:
5>67=87
Step-by-step explanation:
pls mark brainlyest
Answer:
13 weeks
Step-by-step explanation:
What is
[tex]1 \times 1[/tex]
Answer:
1
Step-by-step explanation:
how to rewrite 3/4 with a denominator of 12
Answer:
it would be 9/12
Step-by-step explanation:
if you want to get a denominator of 12 you would have to multiply by 3 from both and you should get 9/12. 3*3=9 and 4*3=12.
Answer:
9/12
Step-by-step explanation:
4x3=12
because we are multiplying the denominator we also have to multiply the numerator by the same number
3x3=9
While eating dinner, Marian ate 25% of the apple slices she had in
Her bag. There were 20 apple slices in her bag. How many
apple slices did Marian eat?
Answer Marian ate 5 apple slices
Step-by-step explanation:
"This summer, the water level of Lake Conroe changed by a rate of -1.5 feet per month. The water level at the beginning of May was 187 feet above sea level. What was the water level at the end of four months?" heelpppp asaapp
Answer:
181 feets
Step-by-step explanation:
Given that:
Rate of change in water level = - 1.5 feets per month
Water level at beginning of May = 187 feets above sea level
Water level at the end of 4 months =?
Total change after four months = rate of change per month * number of months
= - 1.5 * 4 = - 6 feets
Hence water level after 4 months :
187 feets + (-6 feets)
187 feets - 6 feets
= 181 feets
There are 90 girls and 60 boys in sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed.What percent of sixth graders at this middle school write left handed?
A 10%
B 8%
C 5%
D 15%
Answer:
8%
Step-by-step explanation:
Samantha plays a trivia game. She earns 3 points for each
correct answer and loses 0.75 points for each incorrect
answer. She gets 11 correct answers and 4 incorrect
answers.
What is her score for the game?
Answer:
33/36
Step-by-step explanation:
take 0.75 x 4 = 3
then take
11 x 3 = 33
total score = 36
36 - 3 = 33
so the answer is 33/36
Answer:
Samantha would score 30 points
Step-by-step explanation:
If we multiply 11 x 3 we would get 33, the 11 represents the correct awnsers and the 3 represents the points
If we multiply 0.75 and 4 we get 3, this represents the incorrect
Next I subtracted 33 and 3 to get the answer of 30.
Raul opened a savings account with $4800. Each week, d, Raul pays the dog sitter $20 from his savings account. Write a function, f(d) , that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Answer:
The function is: f(d)=4800-20d
Step-by-step explanation:
With the information provided, the function to calculate the amount of money in the account after Raul pays the dog sitter each week would be equal to the amount he used to open the savings account minus the result of multiplying the amount he pays the dog sitter each week for the number of weeks:
f(d)=4800-20d
According to this, the answer is that the function is: f(d)=4800-20d.
find the product if the sum of two numbers is 131 and the difference is 35
Please help: this is due in one hour. Please write let statements and equations.
Answer:
Step-by-step explanation:
let the two numbers be : x and y
x +y =131 , x-y= 35
by omitting :
x+y=135
x-y=35
cancel the ys with each other and add each side together
2x=135+35 = 170
to get x
x=170/2 =85
now u have the x time to get the y u can get it for any equation u like
85+y=135
y=135-85 = 50
the product = 85 x 50 = 4250
what is the answer to this
Answer:
60 percent of students have car
11. Solve -x < 3. Explain how to find the solution set.
Answer:
x < 3
Step-by-step explanation:
[tex]\frac{-x}{-}[/tex]<[tex]\frac{3}{-}[/tex]
x< -3
Johnny Storm is going to walk in a fundraising event to raise money for his school
band. His mother has agreed to donate $8.50 to the school for each mile that
Johnny walks, plus an additional $15.
What equation represents y, the total amount of money Johnny's mother will donate
if Johnny walks X miles during the event?
The diameter of a circular park is 98 m. Find the cost of fencing it at $4 per meter
A. $1230.88
B. $308.00
C. $1232.00
D. $615.44
(WILL MARK BRAINLIEST IF CORRECT, NO TROLL ANSWERS)
Solve for x in the triangle. Round your answer to the nearest tenth.
PLEASE HELPPP Divide both sides by 16: 16x/16=20/16
Answer:
x = 5/4
Step-by-step explanation:
16x / 16 = 20 / 16
x = 5/4
Answer:
x = 5/4 or 1.2
Step-by-step explanation:
20/16 can be simplified to a smaller fraction, which is 5/4 because 20 and 16 have a common multiple of 4. 5/4 turned into a decimal is 1.2.
Earth’s diameter is approximately 12,760,000 meters.
What is that number in scientific notation?
Answer:
1.276 × 10^7
Step-by-step explanation:
Just move the decimal until you reach the first number and then count how many times you moved the decimal point. Hope that helps!
Answer:C 1.276x10^7
Step-by-step explanation: