Answer:
John will be 16 years old when he is twice as old as his brother, which will then be 8.
Step-by-step explanation:
Currently John is 12, and is three times as old as his brother thus, his brother is 12 divided by 3, which is 4 years old.
Thus when John is 12, his brother is 4. There is thus a 8 year difference between the two brothers.
So we can write a small equation to solve John’s age when he will be twice as old.
John’s age = X
John’s Brothers age = X - 8
Thus : X - 8 = X/2, John’s age minus the difference of 8 years must equal John’s age divided by 2, to make John twice as old as his brother.
X - 8 = x/2
X = X/2 + 8
(2*X)/2 = (X/2) + (16/2) - Place all numbers as fractions of 2 by multiplying x 2
2*X = X + 16
2*X -X = 16
X+X -X = 16
X = 16
John’s age will be 16 when he is twice as old as his brother which will be 8.
John : 16 - 12 = 4 : Subtract current Age
His Brother: 8 - 4 = 4 : Subtract current Age
In 4 years time John will be twice as old as his brother
16 = 8 * 2
The age of Bob and John is 6 and 18 respectively.
According to the question;
Bob is 12 years younger than john.In essence, x = y - 12........eqn(1)and
John is 3 times as old as Boby = 3x...........eqn(2)where; x = Bob's age and y = John's age.
By substituting 3x for y in equation (1). We have;
x = 3x -12x -3x = -12-2x = -12x = 6.Therefore, since, x = 6;
y = 3 × 6 = 18.Ultimately, The age of Bob and John is 6 and 18 respectively.
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PLS EXPLAIN THE ANSWER TYSM
Right answer gets brainlist
Answer:
The volume of the cone = 101 cubic inches.
Step-by-step explanation:
Given
Radius of the cone = r = 4 in
Height h of the cone = h = 6 in
To determine
The volume in cubic inches rounded to the nearest whole number.
Using the formula to determine the volume of the cone
V = πr²h/3
substitute r = 4, h = 6, and π = 3.142 in the formula
V = (3.142) (4)²(6) / 3
V = (3.142) (4)² (2)
V = (3.142) (16) (2)
V = (3.142) (32)
V = 100.544
V ≈ 101 cubuc inches (rounded to the nearest whole number)
Therefore, the volume of the cone = 101 cubic inches.
I need help with this problem!
Answer:
104
Step-by-step explanation:
100%= 1.00
so
420%= 4.20
Multiply 4.20×20
84
now add the original 20
104. She has 104 boxes in total.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
104
Step-by-step explanation:
20 + (20*4) + (20*0.2)
= 20 + 80 + 4
= 104
Triangles angles from largest to smallest
Answer:
O is largest, C is medium, and T is smallest
Step-by-step explanation:
You need to pay close attention to the side length. The higher the length, the smaller the angle.
:)
oaquin counted the number of steps on each level as he ran up the stairs of the tower.
Level Numerical Expression Number of Stairs
1 32 x 1 32
2 32 x 2 64
3 32 x 3 96
4 32 x 4 128
Based on this relationship, how many stairs will Joaquin count by the 23rd level?
A. 165
B. 55
C. 756
D. 736
Answer:
D
Step-by-step explanation:
As soon as you see a number times 1 thats how you can find your unit rate, or constant of proportionality.
So since we know that we are going by 32's, we would do 32 23 times, in other words, 32x23
And when you use a CALCULATOR or pencil and paper you get D, which is 736 stairs
This equation shows how the total distance Warren has walked depends on the number of trips he has made to school d=t+3 The variable t represents the number of trips he has made, and the variable d represents the total distance walked in kilometers. How many trips will Warren have to make in all to walk a total of 12 kilometers?
Answer:
9 trips
Step-by-step explanation:
Given that :
Total Distance walked is dependent on the total number of trips made to school ;
d = t + 3 ;
d = total distance in kilometers ; t = number of trips made ;
Number of trips required to walk a total of 12 kilometers ;
d = 12
Putting d = 12 in the equation ;
12 = t + 3
12 - 3 = t
9 = t
Hence, Number of trips made = 9
Use the figure to answer the question.
4 yd
2 yd
What is the area of the figure to the nearest hundredth? Enter the answer in the box.
square yards
Johanna sells small cakes for $60 and large cakes for $80. She earned $1200 in sales one day. Johanna found that she could represent this situation with the equation
60x+80y=1200
where x is the number of small cakes and y is the number of large cakes.
If this equation is rewritten as a function by solving for y, what would be a reasonable domain for that function?
Answer:
[tex]0 \le x \le 20[/tex]
Step-by-step explanation:
Given
[tex]60x + 80y = 1200[/tex]
Required
Determine the domain
[tex]60x + 80y = 1200[/tex]
First, solve for y
[tex]80y = 1200 - 60x[/tex]
Divide through by 80
[tex]\frac{80y}{80} = \frac{1200}{80} - \frac{60x}{80}[/tex]
[tex]y = \frac{1200}{80} - \frac{60x}{80}[/tex]
[tex]y = 15- 0.75x[/tex]
Given that x represents large cakes
The smallest number of cakes is 0.
To get the largest, we simply set y to 0 (to get the x intercept)
[tex]0 = 15- 0.75x[/tex]
[tex]-15 = - 0.75x[/tex]
Solve for x
[tex]x = \frac{-15}{-0.75}[/tex]
[tex]x = 20[/tex]
Hence, the domain is:
[tex]0 \le x \le 20[/tex]
Jack's football team scored 3 more field goals (x) than touchdowns (y) in
yesterday's game. Write a linear equation that could represent this situation.
2
Answer:
Why is his name Jack? lol what about Aron or Liam...something hotter i mean he is a football player.
Step-by-step explanation:
Three-fifths of the sum K and 6 plus the product of 8 and x
Answer
3/5=k6+8x
Step-by-step explanation:
Simplifying
2(k + -5) + 3k = k + 6
Reorder the terms:
2(-5 + k) + 3k = k + 6
(-5 * 2 + k * 2) + 3k = k + 6
(-10 + 2k) + 3k = k + 6
Combine like terms: 2k + 3k = 5k
-10 + 5k = k + 6
Reorder the terms:
-10 + 5k = 6 + k
Solving
-10 + 5k = 6 + k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-1k' to each side of the equation.
-10 + 5k + -1k = 6 + k + -1k
Combine like terms: 5k + -1k = 4k
-10 + 4k = 6 + k + -1k
Combine like terms: k + -1k = 0
-10 + 4k = 6 + 0
-10 + 4k = 6
Add '10' to each side of the equation.
-10 + 10 + 4k = 6 + 10
Combine like terms: -10 + 10 = 0
0 + 4k = 6 + 10
4k = 6 + 10
Combine like terms: 6 + 10 = 16
4k = 16
Divide each side by '4'.
k = 4
Simplifying
k = 4
Solve the inequality for u.
u-13 <-7
Answer: We have u-13 < -7, and we want to get u by itself. So add -13 to +13 to -7 And 13 -7 is 6. So U has to be less than 6 = U < 6
Step-by-step explanation:
Answer:
u < 6
Step-by-step explanation:
u - 13 < -7
Add 13 to both sides
u - 13 + 13 < -7 + 13
Simplify
u < 6
7/10 × 4/9 as a fraction
Answer: 14/45
Step-by-step explanation:
find the value of a so tha the lines represented by 2x+3y=7 and x-8y=7 are perpendicular
Answer:
y = -5, x = 4
The value of a are; a = 6
Since Perpendicular lines have a slope that is negative reciprocal of each other. There product = -1
Solve both equations for y.
2x+3y=7 x-8y=7
3y = ax + 7 8y = -4x + 2
y = ax/3 + 8/3 y = -4x/8 + 2/8
y = a/3(x) + 8/3 y = -1/2(x) + 1/4
Now we know that the slope;
y = -1/2(x)+ 1/4 is -1/2
Then the slope of y = a/3(x) + 8/3 is a/3.
Now the value of "a" will make the lines perpendicular.
You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.
Thus remember that the slope is the coefficient of the x term.
Now a/3 = 2 ; a = 6
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What's the slope of the equation y=-3/5x+4?
Answer:
the slope is 3/5
Step-by-step explanation:
and if you want the y intercept it's 4
Answer:
Use the slope-intercept form
y = m x +b
to find the slope m
m=3/5
Step-by-step explanation:
Two sides of a triangle have measures of 5 inches and 7 inches. Which measure MAY NOT be the length of the third side?
A: 12 in
B: 7 in
C: 3 in
D: 5 in
Answer:
A: 12 inches it may not be the length
SOMEONE PLEASE HELP ME... I NEED TO FIND THE AREA OF THIS POLYGON
Answer:
A
Step-by-step explanation:
You are right
Find the angle measure, x.
Write the equation for the line that passes through the point (-3, 5) and is perpendicular to the x axis
Answer:
x = -3
Step-by-step explanation:
this slope is a straight, vertical line passing through (-3, 5)
which expression can have a remainder greater than 7?
Answer:
Step-by-step explanation:
The expression 4,337 ÷ 9 has a remainder of 9 which is greater than 7.
Answer:
Step-by step explanation:
2519 when divided by 10 leaves a remainder 9
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line WRITE a proportion
Answer: The waiting time will be 32 minutes when 240 people in line.
Step-by-step explanation:
Let us assume that the waiting time is directly proportional to the number of people in the queue.
Equation of direct proportion between variables x and y : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Put [tex]x_1=20,\ y_1=150,\ y_2=150[/tex] to find [tex]x_2[/tex].
[tex]\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32[/tex]
Hence, the waiting time will be 32 minutes when 240 people in line.
Answer:
32 minutes
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
For 150 people, waiting time = 20 minutes
So, for 1 minute waiting time, number of people = 150 ÷ 20
= 7.5 people per minute
So, for 240 people, waiting time = 240 ÷ 7.5
= 32 minutes.
So, the waiting time when 240 people are in line is 32 minutes.
3 x 2 x 5 x 5 is the prime factorization for what number?
150 is the answer...
Hey there!
3 • 2 • 5 • 5
3 • 2 = 6
6 • 5 • 5
6 • 5 = 30
30 • 5 = 150
Answer: 150 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
16.43 + 18.64 anyone know???
16.43 + 18.64 = 35.07
Hope it helps!
what is the answer to this simplified?
-3(4x+3)+5x
Answer:
-7x-9
Step-by-step explanation:
-12x-9+5x
-7x-9
:)
An lon has a net charge of 3. If this ion has 8 protons, how many electrons does it have?
OA 3
OB. 5
OC. 7
OD. 8
O E. 11
Answer:
A charge of three means that it loses 3 electrons for stability.
Hence electrons = 8 + 3
= 11
find the area of the pollelegram. bass 6 mm height 4 mm.
Answer:
6 x 4 =24
the answer is 24
Step-by-step explanation:
45 PTS!!! please help! Place the correct inequality interval in the appropriate blank. All intervals are listed with the variable (x) regardless of the variable in the problem. There is one answer for each question.
Answer:
See attached
Step-by-step explanation:
The answer is attached, refer to picture below
Diego is trying to follow a recipe, but he cannot find any measuring cups! He only has a tablespoon. In the cookbook, it says that 1 cup equals 16 tablespoons.
1. How could Diego use the tablespoon to measure out these ingredients?
a. 1/2 cup almonds
cup almonds
b. 1¼ cup of oatmeal
c. 2 ¾ cup of flour
2. Diego also adds the following ingredients. How many cups of each did he use?
a. 28 tablespoons of sugar
b. 6 tablespoons of cocoa powder
Answer:
1a. 8 tablespoons
1b. 20 tablespoons
1c. 44 tablespoons
2a. 1 3/4 cups
2b. 3/8 cups
Step-by-step explanation:
1 cup= 16 tablespoons 1/2 cup= 8 tablespoons 1/4 cup= 4 tablespoons
1a. 1/2 cup= 8 tablespoons
1b. 1 cup= 16 tablespoons 1/4 cup= 4 tablespoons
16+4=20
1c. 1 cup= 16 tablespoons 1 cup= 16 tablespoons 1/2 cup= 8 tablespoons 1/4 cup= 4 tablespoons
16+16+8+4=44
2a. 28 tablespoons/ 16 tablespoons= 1.75 cups or 1 3/4 cups
2b. 6 tablespoons/ 16 tablespoons= .375 cups or 3/8 cups
If a credit card company charges 13.5% yearly interest, which of the following calculations would be used in the process of calculating the monthly interest rate?
Answer:
(1.135)^[tex]^1/12[/tex]
Step-by-step explanation:
The monthly interest rate is 1.125%
What is rate of change?
The rate of change of a function is the rate at which the output values change over the input value.
The rate of change of a function is one degree less than the actual function.
Here, it is given that :
a credit card company charges 13.5% yearly interest
therefore, to find the rate of interest charged per month divide 13.5% with 12 :
rate of interest charged per month = 13.5%/12
rate of interest charged per month = 1.125%
Therefore, the monthly interest rate is 1.125%
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Order from greatest to least.
0.386,0.3,0.683,0.836
Answer:
Greatest to least is 0.836 , 0.683, 0.386 , 0.3.
Step-by-step explanation:
Given : 0.386; 0.3; 0.683; 0.836.
To find : which Is greatest to least.
Solution :" We have given 0.386; 0.3; 0.683; 0.836.
In 0.386
Tenth place is 3 and hundredth place is 8
In 0.3
Tenth place is 3 and hundredth place 0
In 0.683
Tenth place is 6 and hundredth place 8
In 0.836.
Tenth place is 8 and hundredth place 3.
So, Greatest number is 0.836 ,
Least number is 0.3.
Therefore, Greatest to least is 0.836 , 0.683, 0.386 , 0.3.
Answer:
0.836,0.683,0.386,0.300
Step-by-step explanation:
Cause the closest decimal to one was the 0.836 the you can just go down for there
Which of the following is a true statement?
Answer:
Step-by-step explanation:
A
