Answer:15.25oz can
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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(6.25)(1.6) what is the answer
6.25 Multiply.
x 1.6
▬▬▬▬▬▬▬▬
10
Therefore, 10 is our answer.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Learn more:
Multiplying decimals: https://brainly.com/question/13786600
Answer:
10
Step-by-step explanation:
A few changes were made while calculating the product of 6.25 and 1.6.
⇒ (6.25)(1.6) = 6.25 × 1.6Now, let's calculate the product using long multiplication. (refer to attachment).
Erin and Ethan add fractions 2 1/3 and 1 1/2
Answer:
32/5
Step-by-step explanation:
Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type of animal are there?
Answer: There are 20 goats and 18 chikens.
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
If the number of chickens is represented by C, and the number of goats is G.
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
2C + 4 G =116
-
2C + 2 G =76
_________
2G = 40
Solving for G:G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
Solving for CC =38-20
C=18
There are 20 goats and 18 chickens.
Answer:
chickens is represented by C, and the number of goats is G.
C=18
G=20
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
2C + 4 G =116
-
2C + 2 G =76
_________
2G = 40
Solving for G:
G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
Solving for C
C =38-20
C=18
There are 20 goats and 18 chickens.
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 approximate circumference of the circle shown below?
Plz help
Answer:
B. 62.8 is the correct answer
Step-by-step explanation:
- 7h + 2(-4h +5) > -4h +1 +10. Solve for h
Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-11h > 1
Divide both sides by -11.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-11h ÷ -11 < 1 ÷ -11
h < 1/-11
Therefore, h < -1/11
We are given with an inequality and we need to solve for h . So let's start
[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]
[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]
[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]
Add 4h to both sides
[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]
[tex]{:\implies \quad \sf -11h+10> 11}[/tex]
Subtracting 10 from both sides ;
[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]
[tex]{:\implies \quad \sf -11h-1> 0}[/tex]
Adding 1 to both sides
[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]
[tex]{:\implies \quad \sf -11h>1}[/tex]
Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;
[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]
[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]
-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
Please answer ASAP!! Thank you in advance, and remember to wash your hands consistently for 1 minute with antibacterial soap.
Answer: t= 15
Step-by-step explanation:
1/4t= 3 3/4
Make 3 3/4 as an improper fraction:
15/4
Multiply:
t= 15/4 x 4/1
=60/4
t=15
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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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.
amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. the width is 2x + 6 centmeters, and is 4/5 of the length. what are the dimensions of the canvas?
Answer: 15 4/3
Step-by-step explanation:
Final answer:
To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.
Explanation:
Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:
The width is 4/5 of the length: (2x + 6) = (4/5)(6x - 3).Multiply both sides by 5 to clear the fraction: 5(2x + 6) = 4(6x - 3).Distribute and simplify: 10x + 30 = 24x - 12.Subtract 10x from both sides: 30 = 14x - 12.Add 12 to both sides: 42 = 14x.Divide by 14 to solve for x: x = 3.Once we have the value of x, we can find the dimensions of the canvas:
Length: 6x - 3 = 6(3) - 3 = 18 - 3 = 15 centimeters.Width: 2x + 6 = 2(3) + 6 = 6 + 6 = 12 centimeters.So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.
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.
you receive 20% off on a pair of pants that cost $25, how much would you pay?
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]
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
What is a single decimal?
Answer
Decimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth. Additional powers of 10 require the addition of another positional digit.
What is the GCF of 96x^5 and 64x^2?
Find the surface area of the cone whose radius and height are 2cm and 4cm respectively
The result is approximately 40.7 cm^2.
To find the surface area of a cone:
Identify the radius and height of the cone.
Use the formula: Surface Area = [tex]pi* r( r + \sqrt{r^2 + h^2} )[/tex], where r is the radius and h is the height.
Substitute the values: Surface Area = [tex]pi * 2(2 + \sqrt{2^2 + 4^2} ) \\= pi * 2(2 + \sqrt{4 + 16} ) \\= pi * 2(2 + \sqrt{20} ) \\= 2 * pi * (2 + 4.47) \\= 2* pi * 6.47[/tex] ≈ 40.7 cm2.
(I flipped the coins already)
Instructions In this experiment, you will be using two coins as a simulation for a real-world compound event. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
1 What is the theoretical probability that the family has two dogs or two cats? Describe how to use two coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below. Result Frequency Heads,
Heads Heads, 9
Tails Tails,26
Heads Tails,26
Tails 15
Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?
Thank you for your help!!
Answer:
tails tails 26
Step-by-step explanation:
because the coins might not have different sides the probability of the coin landing on the same side 26 times is understandable
hope this helps
Answer:
Step-by-step explanation:
are you doing flvs? if you answer i can delete thi and help you. i mau be able to help ya out..
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
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
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
Solve for x
-x + 1 = x + 21
Answer:
x=-10
Step-by-step explanation:
first put "x" on one side and the constants on the other
the equation becomes 2x=-20 or -2x=20
both cases divide by 2 and the answer becomes x=-10
or if you end up with -x=10 just multiply by -1 and it ends up the same
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 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
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
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
4(2c-8)=16 what is c???
Answer:
c=6
Step-by-step explanation:
4(2c-8)=16
Divide each side by 4
4/4(2c-8)=16/4
2c-8 =4
Add 8 to each side
2c-8+8=4+8
2c =12
Divide each side by 2
2c/2 =12/2
c=6
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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