Answer:
B length = 8 in.; width = 4 in
Step-by-step explanation:
Given
the length L = w + 4
Perimeter = 24 inches
Perimeter of a rectangle
= 2(L + W)
We now have two equations.
Equation 1: L = w + 4
Equation 2: P = 2(L + W)
Substitute L as w + 4 into equation 1. And 24 for p
Therefore
24 = 2(w + 4 + w)
24 = 2(2w + 4)
Distribute 2 into (2w + 4)
We have
24 = 2 x 2w + 2 x 4
24 = 4w + 8
Subtract 8 from both sides
24 - 8 = 4w + 8 - 8
16 = 4w
Divide both sides by 4
16/4 = 4w/4
4 = w
w = 4 inches
Now substitute 4 for w into either of the equations to get
L.
Using equation 1 , we have
L = w + 4
L = 4 + 4
L = 8 inches
Answer:
12 oak as best value
Step-by-step explanation:
A rectangle has an area of 56 square inches and a perimeter of 36 inches.
Complete the table and write a system of equations to represent the length and width of the rectangle.
Answer:
Table #1:
Length (L) | Width (W) | Area (56)
Table #2:
Length (2L) | Width (2W) | Perimeter (36)
Equation #1: L · W = 56
Equation #2: 2L + 2W = 36
Step-by-step explanation:
The following are the formulas used to find the area and the perimeter of a rectangle:
Area = L · W
Perimeter = L + L + W + W
If you group common variables, you can simplify the formula used to find the perimeter down to:
Perimeter = L + L + W + W
Perimeter = 2L + 2W (Since you're adding 2 of each)
Using these formulas, we can insert our values into them. We know that the rectangle has an area of 56 square inches meaning:
L · W = 56
We know that the rectangle has a perimeter of 36 inches meaning:
2L + 2W = 36
Answer:
Table #1:
Length (L) | Width (W) | Area (56)
Table #2:
Length (2L) | Width (2W) | Perimeter (36)
Equation #1: L · W = 56
Equation #2: 2L + 2W = 36
Step-by-step explanation:
The circumference C of a circle with radius r can be calculated using the formula
C=2πr. Which formula represents r in terms of C ?
A) r=2πC
B)r=C-2π
C)r=Cπ/2
D)r=C/2π
Answer:
D
Step-by-step explanation:
Given
C = 2πr ( isolate r by dividing both sides by 2π )
[tex]\frac{C}{2\pi }[/tex] = r → D
The circumference of a circle is defined as the distance around the circle.
The formula that represents r in terms of C is r = C/ 2π. The correct option is Option D
From the question, we are given the formula for the circumference of the circle C as :
C = 2πr
To represent in terms of C,
2πr = C
Divide both sides by 2π
2πr/2π = C/ 2π
r = C/ 2π
Therefore, the formula that represents r in terms of C is r = C/ 2π. The correct option is Option D
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Angle KJL measures (7x-8)° Angle KML measures (3x +
What is the measure of are KL?
8)º
JM
20
40
48
96°
Answer:
40°
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
One number is 20 greater than another. If the lesser number is subtracted from three times the greater number, the difference is 84. Find the numbers.
Answer:
The numbers are 12 and 32.
Step-by-step explanation:
x = One number
x - 20 = Another number
3x - (x - 20) = 84 (If the lesser number is subtracted from three times the greater number, the difference is 84)
Let's solve for x, this way:
3x - (x - 20) = 84
3x - x + 20 = 84
2x = 84 - 20 (Subtracting 20 at both sides)
2x = 64
x = 64/2
x = 32 ⇒ x - 20 = 12
For the given problem, by denoting the lesser number as 'x', we can form and solve an algebraic equation to find 'x=12' and 'x+20=32', which are the lesser and the greater numbers respectively.
Explanation:This problem involves the concepts of algebraic equations. Let's denote the lesser number as 'x'. Therefore, the greater number becomes 'x+20' because it is 20 more than the lesser number. The problem states that three times the greater number subtracted by the lesser number is 84. So, we can translate that into the equation: 3*(x+20) - x = 84.
Solving this equation we get: 3x + 60 - x = 84, which simplifies further to 2x + 60 = 84. Deducting 60 from both sides gives 2x = 24. Finally, dividing by 2 gives x = 12 which is the lesser number. So the greater number becomes x + 20 = 12 + 20 = 32.
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Sam says the longest ski trail is more than three times the length of the shortest ski trail. Eli says it is less than three times the length. Who is correct? Explain.
Answer:
Sam
Step-by-step explanation:
Sam: Longest ski trail >3x x = shortest ski trail
Eli: Longest ski train< 3x
Sam is correct because the longest ski trail has to be greater than the shortest and it can't be less than.
A ______ is e ratio of a number to 100
The recipe for a dozen muffins calls for 4 teaspoons of vanilla. Tyler is making 6 dozen muffins for a bake sale.
How many tablespoons of vanilla does he need? Remember: 1 tablespoon = 3 teaspoons.
Answer:
12
Step-by-step explanation:
3X4=12
Answer:
8 tablespoons
Step-by-step explanation:
its is 8 because 4 teaspoons per dozen and there are 6 dozens so 4 times 6 is 24, then 24 divided by 3 because thats how many teaspoons are in 1 tablespoon so its 8 tablespoons
What is the height of an object thrown when time is 6 seconds? Also explain how u got your answer
Answer:
[tex]946.4\ m[/tex]
Step-by-step explanation:
Let
h(t) ---> the height of an object in meters
t ----> the time in seconds
we have
[tex]h(t)=-2.6t^2+40t+800[/tex]
For t=6 sec
substitute in the quadratic equation the value of t and solve for h
[tex]h(6)=-2.6(6)^2+40(6)+800[/tex]
[tex]h(6)=946.4\ m[/tex]
Which equation has the same solutions as x^2+6x−7=0?
Question options:
(x+3)^2=2
(x−3)^2=2
(x+3)^2=16
(x−3)^2=16
Answer:
[tex] {(x + 3)}^{2} = 16[/tex]
Step-by-step explanation:
The given equation is
[tex] {x}^{2} + 6x - 7 = 0[/tex]
To find the equation that has the same solution, we complete the square.
Add the square of half the coefficient of x to both sides
[tex] {x}^{2} + 6x + {3}^{2} = {3}^{2} + 7 [/tex]
This becomes:
[tex] {x}^{2} + 6x + 9 = 9 + 7 [/tex]
Factor the first three terms to get a perfect square;
[tex]{(x + 3)}^{2} = 16[/tex]
The correct answer is C
The equation c. (x+3)^2=16 has the same solutions as the given equation x^2+6x−7=0.
Explanation:The equation that has the same solutions as the given equation x^2+6x−7=0 is c. (x+3)^2=16.
Step 1: Set the given equation equal to zero: x^2+6x−7=0.Step 2: Factor the equation. In this case, the equation does not factor easily, so we move on to step 3.Step 3: Use the quadratic formula: x = (-b ± √(b^2-4ac)) / (2a).Step 4: Substitute the values for a, b, and c from the given equation, we get x= 1 and x= -7.Step 5: Simplify the equation (x+3)^2=16. We get x = -3 + 4 = 1 and x = -3 - 4 = -7.Therefore, the equation (x+3)^2=16 has the same solutions as the given equation x^2+6x−7=0.
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PLEASE ANSWERRRRRRRRRR
True or False: In Electromagnetic waves the frequency of the wave determines how much energy that wave carries.
Answer:
True
Step-by-step explanation:
Answer: True
Step-by-step explanation:
In electromagnetic waves, the more the work, the greater the energy expended.
What is the probability of picking a p
Answer:
1/26
Step-by-step explanation:
the probably is 1/26 becasue there is 26 letter in the alphabet
Solve the equation for x, x-3= -x+5
Answer:
x=4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!!! Brainliest is appreciated.
x−3=−x+5
Add x to both sides.
x−3+x=−x+5+x
2x−3=5
Add 3 to both sides.
2x−3+3=5+3
2x=8
Divide both sides by 2.
2x /2 = 8 /2
x= 4
1 Each tire on Bruno's delivery truck weighs 48.25
pounds. If his truck has 6 tires, what is the total
weight of the tires?
A 289.5 pounds C 282.5 pounds
B 283.5 pounds D 288.5 pounds
Write the equation of a line in y = mx + b form that has a slope
of 7/3 and a y-intercept of 2.
Answer:
y = 7/3 x + 2
Step-by-step explanation:
y = mx+b is the slope intercept form of a line
where m is the slope and b is the y intercept
Substituting in what we know
y = 7/3 x + 2
i need help with this question please
arc ABC = 4π[tex]\frac{134}{180}[/tex]
Step-by-step explanation:
Given,
∠BOA = 51° and ∠AOC=83°
We take O as the center
So, ∠BOC = 51°+83° = 134°
To find the arc ABC
Formula,
The relation between arc and radius is, s = rθ where s be the arc and θ be the angle measured in radian]
θ degree = θΠ×[tex]\frac{1}{180}[/tex] in radian
Hence,
arc ABC = 4π[tex]\frac{134}{180}[/tex]
Which side lengths represent the sides of a right triangle?
A) 1, 1, 2
B) 2, 3, 5
C) 3, 4, 5
D) 5, 11, 13
Answer:
C) 3, 4, 5
Step-by-step explanation:
5² = 3² + 4²
25 = 9 + 16
25 = 25
Tori went to see a monster truck show at the local arena before the show Tori got to see the truck up close he noticed that each tire monster truck tire has a radius of about 6 feet Based on that radius what would be the distance around each tire
Answer:
37.70 feet
Step-by-step explanation:
-The radius of each tire is given as 6 feet.
-Distance around each tire is equivalent to the circumference of each tire.
#Circumference is calculated as:
[tex]C=\pi D=2\pi r\\\\=2\pi \times 6 \\\\=12\pi\\\\=37.70\ feet[/tex]
Hence, the distance around each tire is 37.70 feet
The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year. This year the store bought 299 oranges. What was the original number of oranges purchased?
Answer:
The original number of oranges purchased is 260
Step-by-step explanation:
Let the original number of oranges purchased be x
We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.
So, Oranges bought this year = [tex]x+15\%x=x+\frac{15}{100}x=1.15x[/tex]
We are given that This year the store bought 299 oranges.
So, [tex]1.15 x= 299[/tex]
[tex]x=\frac{299}{1.15}[/tex]
x=260
Hence the original number of oranges purchased is 260
you receive 20% off on a pair of pants that cost $25, how much would you pay?
Camille has a collection of 61 nickels and quarters worth $6.85. How many of each coin does she have?
Answer: 42 nickles 19 quarters
hope this was helpful
Camille has 42nickels and 19 quarters.
What is the relation between product and price?
The price depends on how much amount of product one has/consumes.
How to calculate the number of nickels and quarters?Let, Camille has 'y' no. of nickels.
Therefore, she has (61-y) no. of quarters.
We know that,
1 nickel = 5cents
1 quarter =25 cents
$6.85 = 685cents (as 1 dollar = 100cents)
now,
5*y+25*(61-y)=685
or,5y-25y=685-1525
or, 20y = 840
or, y= 42
Therefore, Camille has 42 nickels and (62-41)=19 quarters.
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What is the area of a circle with a diameter of 15 mm? Use 3.14 for pie. Round to the nearest tenth.
Answer:
47.1
Step-by-step explanation:
A=PIEr^2
if you have the diameter you dont need to square it so it is simply PIE(15)
then you get 47.1238898
round it
47.1
Answer:
176.6 mm^2
Step-by-step explanation:
We need to find the radius
r = d/2
r = 15/2 = 7.5
We want the area of a circle
A = pi r^2
A = pi * (7.5)^2
= 3.14 * 56.25
=176.625
Rounding to the nearest tenth
176.6 mm^2
whats 5(3× + 4) - 3 (-2× +11)
Answer:
21x+53
Step-by-step explanation:
The simplified expression is 21x - 13.
To solve the expression 5(3x + 4) - 3(-2x + 11), follow these steps:
Distribute the 5 into the first set of parentheses:
5 × 3x = 15x
5 × 4 = 20
So, 5(3x + 4) becomes 15x + 20.
Distribute the -3 into the second set of parentheses:
-3 × -2x = 6x
-3 × 11 = -33
So, -3(-2x + 11) becomes 6x - 33.
Combine like terms:
(15x + 6x) + (20 - 33) = 21x - 13
The simplified form of the expression is 21x - 13.
Brent took out a 48-month loan
for $16,000 to buy a car. If the
compound interest rate was 8%,
how much will he pay for the car
including interest?
Step-by-step explanation:
8/100(8 over 100)×16000=1280
1280+16000=17280
Answer:
$21,767.82
Step-by-step explanation:
48 months = 48/12 = 4 years
16000 × (1 + 8%)⁴
16000 × 1.08⁴
= 21,767.82336
if the 3rd and 6th terms of an h.p are 5/16 and 1/5 then ,
the 10th term is
Answer:
The tenth term is
[tex] \frac{1}{20} [/tex]
Step-by-step explanation:
The 3rd term of an AP is 1/16.
This implies that:
[tex]a + 2d = \frac{5}{16} - - - (1)[/tex]
The 6th term of an AP is 1/5.
This means that:
[tex]a + 5d = \frac{1}{5} - - - (2)[/tex]
Subtract equation 1 from equation 2.
[tex]5d - 2d = \frac{1}{5} - \frac{5}{16} [/tex]
[tex]3d = - \frac{9}{80} \\ \implies \: d = - \frac{3}{80} [/tex]
From equation (1)
[tex]a + 2( - \frac{3}{80} )= \frac{5}{16} \\ a - \frac{3}{40} = \frac{5}{16} \\ a = \frac{5}{16} + \frac{3}{40} \\ a = \frac{31}{80} [/tex]
The tenth term is:
[tex]a + 9d = \frac{31}{80} + 9( - \frac{3}{80} ) \\ = \frac{31}{80} - \frac{27}{80} = \frac{4}{80} = \frac{1}{20} [/tex]
Subtract
5 + 5q - (3q - y)
Answer:
2q+y+5
Step-by-step explanation:
Simplify the expression
Algebra 1, Section 7.10
Answer:
Option D, 7xy^5 + 2y^2 - 10
Step-by-step explanation:
Step 1: Pull out 3xy from all of the top
[tex]\frac{3xy(7xy^5+2y^2-10)}{3xy}[/tex]
The 3xy on top and the 3xy cancel to make: 7xy^5 + 2y^2 - 10
Answer: Option D, 7xy^5 + 2y^2 - 10
Joe has 30 vegetables. He wants to increase the amount vegetables by 60%. How many vegetables would he have?
Answer: 48 vegetables
Step-by-step explanation:
30 vegetables
Increase is by 60% = 0.6 x 30= 18
30+18= 48 vegetables
Answer:
48
Step-by-step explanation:
30 x 60% (.60) = 18.
30 + 18 = 48
One baseball team won 15 games throughout their entire season. Of all their games, this
team won 75% of them. Given this, how many games in total did this baseball team play?
Round your answer to the nearest whole number if necessary.
Answer:
20
Step-by-step explanation:
To get the answer, you have to find what number 15 is 75 percent of.
-5 = h + (-2)
No other website can help me please
Answer:
h = -3
Step-by-step explanation:
to solve for h
-5 = h + (-2)
just combine the like terms together
-5 = h + (-2)
-5 + 2 = h
h = -3
Answer as soon as possible, please and thank you. All help is truly appreciated because we are one step closer to the answer. Be safe.
Answer: 100
Step-by-step explanation:
4b squared where b= 5
Slot in 5 for b; 5 squared = 5x5= 25
4 (25)
=100
Answer:
100
Step-by-step explanation:
First we remove the b and put 5 in its place because that what the instructions say b stands for
4*5^2
We do PEMDAS to figure out what to do first, we do the exponent
5^2 or 5*5= 25
Now we do 4 * 25
4*25 =100