Answer:
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
Step-by-step explanation:
Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.
Therefore:
t = m - 1/2; m = t + 1/2
Also, b = 2t - 1/2
The total of the three shelves is 20 feet, therefore:
t + m + b = 20
Substituting:
t + t + 1/2 + 2t - 1/2 = 20
4t = 20
t = 20/4
t = 5 feet
m = t + 1/2 = 5 + 1/2 = 5.5 feet
b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
X-1=2 work out the value of 2x^2
Answer: 18
Step-by-step explanation:
X-1=2
X=3
2(3)^2
2(9)
18
Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For the given case, we are given that [tex]x - 1 =2[/tex]
By this, we can get the value of the variable 'x' as:
[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]
Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:
[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]
( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])
Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18
Learn more about evaluating expressions here:
https://brainly.com/question/2753269
*please be serious*
*solve for y*
Answer:
i cant answer it without x or at least some more stuff in the question, the only thing i can rlly say is 9x+2 maybe
Step-by-step explanation:
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
3/4 x 5/6 plssssssssssss help
the answer is 5/8 :)
3/4*5/6
cross out 3 and 6 and divide by 3
3/3=1
6/3=2
1/4*5/2
multiply the numerator together
1*5=5
multiply the denominator together
4*2=8
1/4*5/2=5/8
answer:
5/8
The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)ᴛᴀʙʟᴇ ᴀ
B)ᴛᴀʙʟᴇ ʙ
C)ᴛᴀʙʟᴇ ᴄ
D) ᴛᴀʙʟᴇ ᴅ
ɪ'ᴍ sᴛᴜᴄᴋ ᴏɴ ᴛʜɪs ᴏɴᴇ ᴛᴏᴏ!
ᴀɴʏᴏɴᴇ ᴋɴᴏᴡ ᴛʜɪs ᴏɴᴇ?
Answer:
C
Step-by-step explanation:
Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.
4. A formula used for calculating velocity is v=1/2at^2
Step-by-step explanation:
You're sure?
But I thought that for calculating distance
Which situations can be represented by an exponential function select each correct answer A a country's population is decreasing by about 3.5% each year B an investment increases about 1/12 each year c Hadesh travels at 67 mph. D maya adds $22 per week to her checking account
Answer:
A and B are the correct answers.
Step-by-step explanation:
Sorry If I'm late. I just took the test and got lucky myself.
which one doesn’t belong?
Answer:
Thats the FSA ummmm-
Step-by-step explanation:
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value of q
Given:
A number is q, multiply it by 2 and add 5.
You get the same answer as when you minus 2 from q.
To find:
The value of q.
Solution:
The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is
Multiply q by 2 = 2q
Multiply q by 2 and then add 5 : 2q + 5
So, the first result is 2q+5.
When you minus 2 from q = q-2
So, the second result is q-2.
According to the question, both results are equal. Equate both results to get the value of q.
[tex]2q+5=q-2[/tex]
Isolate variable terms.
[tex]2q-q=-5-2[/tex]
[tex]q=-7[/tex]
Therefore, the value of q is -7.
find out distinct 3 letter word that can be formed from using the word singapore
Answer:
Sing
Gap
Nape
There are more than 3 distinct words
A treat bag has 2 green gum balls to read gumball and one blue gumball, if you were to reach into the treat bag right as a fraction, with the probability would be that you would randomly choose.
Answer:
2/5 ; 2/5 ; 1/5
Step-by-step explanation:
Given that :
Numbe red gumballs = 2
Number of green gumballs = 2
Number of Blue gumballs = 1
The probability of making a random choice :
Probability = required outcome / Total possible outcomes
Probability of choosing (red) :
P(red) = number of red balls / total number of balls
P(red) = 2 / 5
P(green) = number of green balls / total number of balls
P(green) = 2 / 5
P(blue) = Number of blue balls / total number of balls
P(blue) = 1 / 5
How many like terms are in the expression? 14x- 14y +7 - x + z + 2x
A.0
B.2
C.3
D.5
Answer:
5
Step-by-step explanation:
14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)
-5x+3y>9 help me plesese
Answer: x < 3/5 y + -9/5
Step-by-step explanation:
is provided below :)
pls help 20points if help.How would the growing season of plants in Florida differ from the growing season of plants in New York?
a.The growing seasons of both states are similar. This is because the climates of both states are similar.
b.The growing seasons of both states are the same. This is because the climate has very little effect on growing seasons.
c.The growing season in New York is much longer than the growing season in Florida. New York's seasons are warmer than seasons in Florida.
d.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.
Answer:
D.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.
Step-by-step explanation:
6. A rental car agency charges $240 per week plus $0.25 per mile to rent
a car. The charge for a minivan is $180 per week plus $0.40 per mile.
After how many miles is the total charge for each vehicle the same?
Answer:
400 Miles
Step-by-step explanation:
Set up the equations and make them equal to each other and then solve.
240+0.25m=180+0.40m
Answer
400 miles
Step-by-step explanation:
After 400 miles, both will be costing the same, you first create an equation with the values you have, for example, 240 + .25x and you either graph them and find the intersection or guess and check.
Karissa earns $200 per week plus $25 per item she sells. Which
equation models the relationship between her pay p per week and the
number of items n she sells?
A. p = 200n + 25
C. n = 25p + 200
B. p = 25n + 200
D. n = 200p + 25
Answer:
Step-by-step explanation:
p=200+25(n)
PLEASE HELP!! please!!
Answer:
1.a
2.b
3.e
4.f
Step-by-step explanation:
Nick is buying juice for himself and 5 friends. Each bottle of juice costs $1.25. How much do 6 bottles of juice cost? Complete the table to find the cost of 6 bottles of juice.
Answer:
$7.5 for six boxes of juice
Step-by-step explanation:
1.25 times 6=7.5
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.
Answer:
Use the two ordered pairs to find the slope, m.
Then substitute one set of ordered pairs and m into y = mx + b to solve for b
Step-by-step explanation:
If we are given two ordered pairs of a function and we need to write an equation that represents the linear function, first, what we need to do is to use the two ordered pair to find the slope, m, using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
After getting the slope (m), find the value of the y-intercept (b), by substituting the value of one of the ordered pairs and the slope value (m) into y = mx + b.
Once the value of m and b is known, plug in the value of m and b into y = mx + b to derive the equation of the linear function.
Use the 2 ordered pairs to find the slope, m .
Then substitute m and one set of ordered pairs into y = mx + b to solve for b.
If given the 2 ordered pairs for a function, the ordered pairs can be first used to find the slope of the function.
For example
(x₁, y₁)(x₂, y₂)
m = slope = y₂ - y₁ / x₂ - x₁
The slope(m) is then substituted in the slope intercept form equation.
y = mx + b
where
m = slope
b = y-intercept
And one set of the ordered pairs is also substituted in the equation to get the value of the y-intercept(b).
read more: https://brainly.com/question/19675390?referrer=searchResults
Can someone be nice enough to do this for me?
Answer:
1) -3, -2.5, -3/4, -3/8, 1/4, 3.1, 16/5, 6
Step-by-step explanation:
plz tell me the correct answer
Answer: H
Step-by-step explanation:
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
What is the slope of this graph?
A. -1/4
B. 1/4
C. -4
D. 4
Answer:
-4
Step-by-step explanation:
its negative because it is decreasing from left to right and 4 because it goes down 4 over one not down one over four
Answer: B : -1/4
Step-by-step explanation: The line is going down to the right which is a negitive slope. So that takes out the options B and C. Then to find the slope you find a point and go over one down four, therefour -1/4. Hope This Helps!
Help plsssssssssssss???
Answer:
Go 6 units to the right and then 8 units up.
Answer:
so Go 6 units to the right and then 8 units up. and then you should get your point on the graph id apreciate brainliest
Step-by-step explanation:
It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67
Answer:
25
Step-by-step explanation:
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?
What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
A. 105x + 90
B. 105x
C. 45x + 90
D. 60x
Answer:
The equation representing the total distance would be A. 105x + 90.
The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.
Step-by-step explanation:
Firstly, let's set the time travelled by the train to be x hours.
According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.
Hence:
[tex]45(x + 2) = 60x[/tex]
[tex]45x + 90 = 60x[/tex]
[tex]90 = 60x - 45x[/tex]
[tex]15x = 90[/tex]
[tex]x = 6[/tex]
Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.
Also, the equation can be found by adding both equations up:
[tex]45(x + 2) + 60x[/tex]
[tex]= 45x + 90 + 60x[/tex]
[tex]= 105x + 90[/tex]
Hope this helped!
Help please due in 2 hours Thank you!
Answer:
its B
Step-by-step explanation:
What is X in feet
X= Ft
Answer:
x = 26ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676
[tex]\sqrt{676}[/tex] = 26
Find the gradient of the line with equation Y=3-x
Step-by-step explanation:
Gradient = Coefficient of x = -1.
