Answer:
x=C-b
Step-by-step explanation:
Subtract b from both sides to get x alone.
Bob is trying to see if his shadow is longer than Kevin’s. Kevin is 3 feet tall, and Bob is 2½ feet tall. Kevin’s shadow is 5 feet long. Help Bob find the length of his shadow
Given parameters:
Height of Kevin = 3ft
Height of Bob = 2.5ft
Hieght of Kevin's shadow = 5ft
Unknown:
Length of Bob's shadow = ?
We can simply set up simple ratio to solve this problem.
The ratio of Kevin's height to Bob's height is 3 : 2.5
The ratio of their shadow should also be 5: Bob's shadow height
Equating the two of them should give a fairly constant ratio;
[tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]
3Bob = 5 x 2.5
Bob's shadow height = [tex]\frac{5 x 2.5}{3}[/tex] = 4.2ft
The height of Bob's shadow is 4.2ft.
Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.
Answer:
Small boxes contain 60 paperclips and large boxes contain 175 paperclips.
Step-by-step explanation:
1. Set up two simultaneous equations:
Use s for small boxes and l for large boxes. (You could use any letters)
4s + 5l= 1115
3s + 2l= 530
2. Number the equations:
4s + 5l= 1115 (1)
3s + 2l= 530 (2)
3. Multiply both equations to get the same number of ls (for different questions the letters might be different):
(1) x 2:
8s + 10l= 2230 (3)
(2) x 5:
15s + 10l= 2650 (4)
4. Subtract one from the other to get rid of the ls:
(4) - (3)
8s + 10l= 2230
- 15s + 10l= 2650
7s =420
5. Solve for s:
s= 420/7= 60
6. Substitute the s value into one of the original equations to find l:
4 x 60 + 5l= 1115
240 + 5l= 1115
5l= 1115 - 240
5l= 875
l= 875/5= 175
(5,9), (5-3)
what is the slope?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
When you want to find out what the slope is, you have to remember what the formula is first....
[tex]m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].
now if we plug it in
[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]
now we can tell that we can't divide by zero so the slope would be unidentified and that's it.
In math what number acts like a switch
3x= 5 + 2(3 + 4x)
How to solve this?
Answer:
Step-by-step explanation:
Simplifying
3x = 5 + 2(3 + 4x)
3x = 5 + (3 * 2 + 4x * 2)
3x = 5 + (6 + 8x)
Combine like terms: 5 + 6 = 11
3x = 11 + 8x
Solving
3x = 11 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
3x + -8x = 11 + 8x + -8x
Combine like terms: 3x + -8x = -5x
-5x = 11 + 8x + -8x
Combine like terms: 8x + -8x = 0
-5x = 11 + 0
-5x = 11
Divide each side by '-5'.
x = -2.2
Simplifying
x = -2.2
Answer:
x = -11/5
Step-by-step explanation:
3x = 5 + 2(3 + 4x)
~Distribute left side
3x = 5 + 6 + 8x
~Combine like terms on the left side
3x = 11 + 8x
~Subtract 8x to both sides
-5x = 11
~Divide -5 to both sides
x = -11/5
Best of Luck!
Simplify the expression.
(5+i)(2-7i)
Answer:
17-33i
Step-by-step explanation:
Multiply using the foil method than combined the real and imaginary parts of the expression
Find the linear function with the following properties.
f(−4)=6
Slope of f=−6
Given:
f(−4)=6
Slope of f=−6
To find:
The linear function with the given properties.
Solution:
We have,
f(−4)=6
It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).
Slope of f=−6
The point slope form of a linear function is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the linear function.
On substituting the values, we get
[tex]y-6=(-6)(x-(-4))[/tex]
[tex]y-6=-6(x+4)[/tex]
[tex]y-6=-6x-24[/tex]
Add 6 on both sides.
[tex]y-6+6=-6x-24+6[/tex]
[tex]y=-6x-18[/tex]
The function form of this linear equation is
[tex]f(x)=-6x-18[/tex]
Therefore, the required function is [tex]f(x)=-6x-18[/tex].
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answer:
(2w-3)2+2w=66
4w-6+2w=66
6w=66+6
6w=72
w=12
l=24-3
l=21
Combine Like Terms. 2 x 2 − x 2 + 3 x 2 2x 2 −x 2 +3x 2
Answer:
The answer is 4x(exponent of 2)
Step-by-step explanation:
Which of the following examples has a unit rate of 12 yards per second? Select all that apply.
A) 48 yards in 8 seconds
B) 36 yards in 3 seconds
C) 144 yards in 12 seconds
D) 36 yards in 6 seconds
E) 60 yards in 5 seconds
one more than a number
Answer:
x+1
Step-by-step explanation:
What is the slope of this graph
Answer:
-7/8
Step-by-step explanation: If you use RISE/RUN, then you will see that they RISE is 7 and the RUN is 8 so therefroe,you would get 7/8. The graph is pointing down so, it is negative. Overall, your answer should be -7/8.
Jessie enjoys running every day for exercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles. On Wednesday, he ran 2.98 miles. On what day did Jessie run the farthest? *
Answer:
monday
Step-by-step explanation:
Marco spent $85.43 on a new pair of
shoes, $21 on a t-shirt, and $7.84 on a
pair of socks. If he gave the sales clerk
$120, how much change should he
receive?
Answer:
5.73
Step-by-step explanation:
Answer:
He should have $5.73 as change
Step-by-step explanation:
First add 85.43 with 21 and 7.84 and then do 120 - 114.27.
If jimmy has 3 billion dollars and subtracts a dollar how much does he have
Answer:
2,999,999
Step-by-step explanation:
2,999,999
Step-by-step explanation:
dont need a explanation its obvious
a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base
1 What is one into one? 1
4617 divided by 23 as a mixed number
Answer:
200 17/23
Step-by-step explanation:
Mathxway.....
Graph f(x) =2/3x-3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
f(x)=2/3.3=1/6=0,2
f(x)=0,2
Estimate . Then find sum 25,211 plus 9,517
Answer: 34,728
Step-by-step explanation:
All your going to want to do here is add both numbers, and you will get your answer of 34,728. Hope this helps!
the width of a rectangle card is 2cm less than the length and the area is 35cm²
The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]
To Find :We have to find length and breadth of rectangle.
Solution :Let length of the rectangle be x cm.
Given that, width is 2cm less than the length.
∴ Width = (x - 2) cm
➤ Area of rectangle :
Area = Length × Width⭆ Area of rectangle = 35
⭆ length × width = 35
⭆ x × (x - 2) = 35
⭆ x² - 2x - 35 = 0
⭆ x² - 7x + 5x - 35 = 0
⭆ x(x - 7) + 5(x - 7) = 0
⭆ x = 7 or x = -5
We know that, length can't be negative.
∴ Length of rectangle = 7cm
Width = x - 2 = 7 - 2∴ Width of rectangle = 5cm
Hope It Helps!Need to evaluate 256 and fraction 1/4
Answer:
256fraction=1/4
256÷4=64
64 answer this fraction
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.
Answer:
Step-by-step explanation:
Answer:
The answer is 35%
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
788
Step-by-step explanation:
PLEASE SOME1 ANSWER FAST PLS!
Answer:
30.30
Step-by-step explanation:
solve on the calculator
What does "K" stand for for proportinial relationships
Answer:
y/x = k
Step-by-step explanation:
K is the constant of proportionality.
7/10;1/3;5/6 ayuda es de matemáticas
Answer:
0.7 1/3 0.8333 repeating yo no hablo espanol
Step-by-step explanation:
7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating
Find the 125% of 600lb
Answer:
750
Step-by-step explanation:
of means multiply
125% * 600
change to decimal form
1.25 * 600
750
An airplane flies with a constant speed of 660 miles per hour. How long will it take to travel a distance of 2475 miles?
9514 1404 393
Answer:
3.75 hours
Step-by-step explanation:
Travel time can be found using the relation ...
time = distance/speed
time = (2475 mi)/(660 mi/h) = 3.75 h
It will take 3 3/4 hours to travel that distance.
y=2/5xt 10 the rate of change and y intercept
Answer:
Below
Step-by-step explanation:
Rate of change (aka the slope) = 2/5
Y Intercept = 10
Reason abstractly. Are all horizontal lines parallel? Use slope
explain how you know.
Answer:
All horizontal lines are NOT parallel.
Step-by-step explanation:
We learned that lines go on forever.
If one line is slightly slanted, and the other line is completely straight, these lines are not parallel, as they will meet at some point.
Hope this helped :)