given a triangle with a perimeter of 56in. we know the first side is 3 inches less than twice the length of the second side, and the third side is 10 inches more than half the length of the second side. if the second side length is h, how long is the longest side? write an equation to solve for the variable.
Answer:
Side A = 25 in
Side B = 14 in
Side C = 17 in
Step-by-step explanation:
Perimeter of a triangle = 56 in
Side B = x
Side A = 2x - 3
Side C = 1/2x + 10
Perimeter of a triangle = side A + Side B + side C
56 = (2x -3) + x + (1/2x + 10)
56 = 2x - 3 + x + 1/2x + 10
56 + 3 - 10 = 2x + x + 1/2x
49 = 3 1/2x
Note: 3 1/2x = 3.5x
49 = 3.5x
x = 49/3.5
x = 14 in
Side B = x = 14 in
Side A = 2x - 3
= 2(14) - 3
= 28 - 3
= 25 in
Side C = 1/2x + 10
= 1/2(14) + 10
= 7 + 10
= 17 in
If a rocket has an acceleration of 10 m/s2 and a force of 5 N what is its mass? *
Answer:
1/2 kg
Step-by-step explanation:
Formula:
[tex]F =ma[/tex]
Force = mass x acceleration
F = 5 | a = 10 |m = ?
5 = 10m
m = 0.5 or 1/2
Cindy is selling Kylie jenner lip kits and makes a 10% commission on all sales. What would her commission be on the sale of a $3,250 sale of lip kits?
Answer:
10
100
×
3250
=
$
325
Step-by-step explanation:
simpliyfy (-3/7)^3 * (-3/7)^4
Answer:
Step-by-step explanation:
(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷
Answer:
the answer to this question is (-3/7)^7
A snow blower requires a fuel mixture ratio of 40:1 (gas to oil). Which expression represents this ratio?
Answer:
A. 40/1
Step-by-step explanation:
A. 40/1
B. 1 X 40
C. 40 X 1
D. 1/40
Ratio of gas to oil = 40 : 1
40 : 1 = 40/1
40 : 1 can also be written as 40/1 or 40 to 1
(3,-8); slope = -3
Write in slope intercept form
Answer:
[tex]y = - 3x + 1[/tex]
Step-by-step explanation:
[tex] - 8 = - 3 \times 3 + b[/tex]
[tex]b = 1[/tex]
A(0,2), B(2,4), C(4,2), D(2,0)
FIND THE SLOPE OF AC.
- 3 ( n + 5 ) = 12
What is N?
Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
Answer:
Step-by-step explanation:
Since there are 16 oz in 1 lb, to find the amount in 3 lbs, you would just multiply it by 3
16 · 3 = 48
to find the price you divide the total price by number of oz.
6.95 ÷ 48 ≈ 0.1448
since money is measured in hundreths, you would round up (because thats how money works) so it would be roughly 15 cents. unless your teacher wants you to round down to 14 cents
Write
[tex] \frac{7}{50} [/tex]
as a percentage.
Answer:
14%
Step-by-step explanation:
Percentages are out of 100, and 7/50 = 14/100.
hello friends
this is your questions :-
" [tex]\huge\underline\mathfrak\red{simplify}[/tex]
(a²-b²)²
please solve this question:-
note:- no spam only relevant Answer.
thanks you :)
Answer:
a^4 - 2a^2b^2 + b^4
Step-by-step explanation:
Here, we want to expand the given expression
Mathematically, we have this as follows;
(a^2-b^2)^2
= (a^2(a^2 - b^2) -b^2(a^2-b^2)
a^4-a^2b^2 - a^2b^2 + b^4
= a^4 - 2a^2b^2 + b^4
13 less than fourteen times a certain number is twenty-nine more than 7 times that number. What is the number? (I only need the answer)
A. 12
B.6
C.7
D.9
Answer: B. 6
Step-by-step explanation:
Let x be the [certain number]
Rephrase the expression
13 less than fourteen times a certain number is twenty-nine more than 7 times that number
14x-13=7x+29
Calculate
Given
14x-13=7x+29
Add 13 on both sides
14x-13+13=7x+29+13
14x=7x+42
Subtract 7x on both sides
14x-7x=7x+42-7x
7x=42
Divide 7 on both sides
7x/7=42/7
x=6
Hope this helps!! :)
Please let me know if you have any questions
13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answer:
80
Step-by-step explanation:
So I here's my thought process on this:
200 divided by 2 is 100
100 - 40% is 60, leaving 40 behind.
So double that and it would be:
200 - 40% is 120
200 - 120 = 80
80% is the answer.
Find the equivalent expressions for (x + 7)(x + 1).
x(x + 7+8)
(x +4)^2 - 9
x^2+ 8x + 7
x^2+ 7x + 8
(x+ 4)^2 +9
x(x + 8) +7
Answer:
The answers should be
x^2 + 8x + 7
x(x + 8) +7
Step-by-step explanation:
(x + 7)(x + 1)
x(x) + x(1) + 7(x) + 7(1)
x^2 + x + 7x + 7
x^2 + 8x + 7
Answer:
C d
Step-by-step explanation:
The function of f(n) = log 0.98(n/50) models the time, f(n), in minutes, required for the concentration of a certain chemical to reach a value of n milligrams/liter during a reaction.
Which statements about the reaction are supported by the graph? (More than one answer)
A. The concentration of the chemical decreases as the reaction progresses over time.
B. The concentration of the reactant is 50 milligrams/liter at the start of the reaction.
C. The concentration of the chemical cannot exceed 50 milligrams/liter.
D. The concentration of the chemical increases as the reaction progresses over time.
E. The concentration of he reactant is 160 milligrams/liter at the start of the reaction.
Answer:
Step-by-step explanation:
The statements supported by graphs are,
A. The concentration of the chemical decreases as the reaction progresses over time.
E. The concentration of he reactant is 160 milligrams/liter at the start of the reaction.
C. The concentration of the chemical cannot exceed 50 milligrams/liter.
Logarithmic function:The function which represent time required for the concentration of a certain chemical to reach a value of n milligrams/liter during a reaction.
[tex]f(n) = log 0.98(n/50)[/tex]
From given graph, It is obseved that
The concentration of the chemical decreases as the reaction progresses over time.
The concentration of he reactant is 160 milligrams/liter at the start of the reaction.
The concentration of the chemical cannot exceed 50 milligrams/liter.
Learn more about the logarithmic function here:
https://brainly.com/question/1695836
What is the function rule for this table? 10 POINTS! BRAINLIEST to correct answer!
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Which graph shows a system of equations with infinitely many solutions
Answer:
Step-by-step explanation:
[tex]\int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \neq \geq x^{2} \\ \leq[/tex]⇄⇅⇵⇔ω∈ФπΔ≅≡β·∛
Solve the simultaneous equations
7x – 3y = 24
2x + 3y = 3
x=?
y =?
Answer:
×=3 y=-1
Step-by-step explanation:
I hope this helps
which method you want cross multiplication method or elimination method of substitution method or general method
A student said we cannot subtract 1.97 from 20 because 1.97 has two decimal digits and 20 has none. Do you agree with his statement? Explain or show your reasoning.
Answer:
No
Step-by-step explanation:
everything has a infinite amount of zeroes behind the decimal point or where it ends at least
Solve the problem by multiplying first.
Jamian bought a total of 35 bagels and donuts for a morning meeting. He paid a total of
$25.75. Each donut cost $0.55 and each bagel cost $1.20. The system of equations
b + d = 35
1.200 + 0.55d = 25.75 models this situation, where b is the number of bagels and d
is the number of donuts. How many of each did Jamian buy?
{ 1.200
Jamian bought
bagels and
donuts.
Answer:
Number of bagels = 10
Number of donuts = 25
Step-by-step explanation:
Let Number of bagels = b
Number of donuts = d
As given,
Each donut cost $0.55 and each bagel cost $1.20
⇒ Cost of d donuts = $0.55d
Cost of b bagels = $1.20b
Also given,
Jamian bought a total of 35 bagels and donuts
⇒ b + d = 35 ........(1)
Also,
He paid a total of $25.75.
⇒ 1.20b + 0.55d = 25.75 .........(2)
Now,
Multiply equation (1) by 1.20 , we get
1.20( b + d = 35 )
⇒1.20b + 1.20d = 42 ..........(3)
Now,
Subtract equation (2) from equation (3), we get
1.20b + 1.20d - ( 1.20b + 0.55d ) = 42 - 25.75
⇒1.20b + 1.20d - 1.20b - 0.55d = 16.25
⇒0.65d = 16.25
⇒d = [tex]\frac{16.25}{0.65}[/tex] = 25
⇒d = 25
Put the value of d in equation (1) , we get
b + d = 35
⇒b + 25 = 35
⇒b = 35 - 25 = 10
⇒b = 10
∴ we get
Number of bagels = b = 10
Number of donuts = d = 25
(SAT prep)Find the value of x
Please help me!
Answer:
Step-by-step explanation:
x=120°
if you look, the arrows on the lines mean they’re parallel.
so
Plz help!
Find the values of f(25) and f(40)
Answer:
if there is no equation given with the problem, then all you do is read the y coordinate value corresponding to 25 mins and 40 mins.
here f(25) looks yo be 7 and f(40) looks yo be 20.
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.
Let x be the smaller number and y be the larger number.
Create a system and graph it to find the solution.
What are the two numbers?
x =
and y =
Answer:
x=6 and y=20 just took a test
Step-by-step explanation:
Alvin has 75 dollars in his piggy bank. Every week he spends 5 dollars at the store. How Many weeks until he has 55 dollars in his piggy bank?
Answer:
4 weeks
Step-by-step explanation:
75-5*x=55
x=4 weeks
Options are
True
Or
False
Answer: true
Step-by-step explanation:
11 = x + 9 then what’s x=___ ??
Answer:
2
Step-by-step explanation:
subtract like this: 11-9=2
Answer:
x = 2
Step-by-step explanation:
11 = x + 9
11 - 9 = x + 9 - 9
2 = x
x = 2
What is the fewest number of consecutive primes, starting with 2, that when summed produce a number divisible by 7?
Answer:
5
Step-by-step explanation:
The consecutive primes starting from 2 are
2, 3, 5, 7, 11
Summing gives 2 + 3 + 5 + 7 + 11 = 28
and 28 is divisible by 7
Thus the required number of primes is 5
The fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.
To determine what is the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7, the following calculation must be performed:
2 + 3 = 5 2 + 3 + 5 = 10 2 + 3 + 5 + 7 = 17 2 + 3 + 5 + 7 + 11 = 28 28/7 = 4
Therefore, the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.
Learn more in https://brainly.com/question/4184435
Find the Area of shaded region, please give step by step explanation and answer fast pls
Answer:
22cm²
Step-by-step explanation:
radius of smaller circle= 7/2=3.5cm
area of smaller circle=π×3.5=11cm²
area of bigger circle=π×10.5(radius is 7 plus 3.5)=33cm²
area of shaded area=33-11=22cm²
Factor the expression f(x)=36x^4-49x^2
Answer:
u kqmnwnb jwkoajh wmkn.q
Ranbir bought a rectangular field of area 24000 square metres and width 120 m. He wants to fence it with two rounds of wire. Find the length of wire that will be required to fence the field.
Answer:
640 metres
Step-by-step explanation:
Area of a rectangular field = 24000 square metres
Width of a rectangular field = 120 metre
Also,
Area of a rectangular field = Length × Breadth
24000 = Length × 120
Length = [tex]\frac{24000}{120}=200[/tex] metre
Length of wire required to fence the field = Perimeter of the rectangular field
= 2 (length + width)
= 2 (200 + 120)
= 2 (320)
= 640 metres