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
i need help!!! will mark brainlist
Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.
For every quart she picks, she adds $ _____
to her total earnings for the day.
How much does Alyssa earn if she picks 0 quarts of strawberries?
$ ____
Answer:
1. She gets $3 per quart she picks.
2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.
Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.
bxjabcbkbkebwjbckjwStep-by-step explanation:
Answer:
this is step up very weird could you set it up a bit clearer?
Step-by-step explanation:
I need help please will markbrianlyest
Are the two given triangles similar? Show your work to support your answer.
Helpppp please
Answer:
no
Step-by-step explanation:
1 is obtuse one is acute
9. Which graph can be used to find the solution to the system of equations?
y = x-1
9y = 6x – 15
Help!!!! 10 points Taking a test Micah invested $3450 in an account paying simple interest. At the end of 6
years, the value of his account was $3967.50. What was the interest rate? *
O a. 1.5%
O b. 2.0%
O c. 2.5%
O d. 15%
Answer:
The answer is C.
Step-by-step explanation:
First, you have to find the interest amount after 6 years. In order to do this, you have to subtract :
[tex]3967.50 - 3450 = 517.50[/tex]
Next, you have to apply simple interest formula, I = (P×R×T)/100 where I repesents interest amount, P is priciple, R is interest rate and T is number of years :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 517.50,p = 3450,t = 6[/tex]
[tex]517.50 = \frac{3450 \times r \times 6}{100} [/tex]
[tex]517.50 = \frac{20700r}{100} [/tex]
[tex]51750 = 20700r[/tex]
[tex] \frac{51750}{20700} = r[/tex]
[tex]r = 2.5\%[/tex]
12. Find DC showing step be step
The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The length of BD is given as,
sin A = BD / AB
sin 54° = BD / 20
BD = 20 × sin 54°
Then the length of DC is given as,
tan C = BD / DC
tan 28° = (20 × sin 54°) / DC
DC = (20 × sin 54°) / tan 28°
DC = 20 × 1.5215
DC = 30.43 units
The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
Please help me I don’t understand
Answer: I don't understand either :{
But I do know that you have to look at the little letters to answer the questions about the triangle. Like when it asks, "What are the possible values for x?" you have to find x then say what the possible values for x are. Hope that helps a little bit
Solve for x in the equation x2 + 4x-4-8.
O x= -6 or x = 2
O x=-2+2V2
O x = -2 or x = 6
O x=2+25
Answer:
O x = - 6 or x = 2
Step-by-step explanation:
x² + 4x - 4 - 8 = 0
x² + 4x - 12 = 0
x² + 6x - 2x - 12 = 0
x(x + 6)x - 2(x + 6) = 0
(x + 6) (x - 2) = 0
x + 6 = 0 or x - 2 = 0
x = - 6 or x = 2
Thus, x = - 6 or x = 2
-TheUnknownScientist
A function and its inverse are shown on the same graph. Which statement describes the relationship between the function and its inverse?
Answer:
D should be right
Step-by-step explanation:
What is the slope of the line that passes through points E(6, 8) and F(6, - 2)
Answer is undefined. It's an undefined slope.
Which of the following is not a polynomial? 7−z 2p3q2− pq3 −5x+ 6y −3/x
The algebraic expression -5x+6y-3/x is not a polynomial.
The given polynomials are 7-z, 2p³q²-pq³ and -5x+6y-3/x.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here,
In 7-z has non-negative integer as exponent
So, it is a polynomial
In 2p³q²-pq³ has non-negative integer as exponent
So, it is a polynomial
In -5x+6y-3/x has negative integer as exponent, which is [tex]x^{-1}[/tex]
So, it is not a polynomial
Hence, the algebraic expression -5x+6y-3/x is not a polynomial.
To learn more about the polynomials visit:
brainly.com/question/20121808.
#SPJ2
You start at (-3, 0). You move right 4 units and up 1 unit. Where do you end?
Answer:
(1, 1)
Step-by-step explanation:
pleaase answer brainlest to anyone
Answer:
Put an open circle at h= 75.5
Draw an arrow at the circle going to the right.
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
Answer:
{–3, –1, 3, 4}
Step-by-step explanation:
Answer:
the following correctly identifies the set of outputs?
{−3, −1, 3, 4}
Step-by-step explanation:
HELP MEE!!! Make sure to simply please
Answer:
YOUR CAMERA IS BAD I CANT SEE ANYTHING
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
The perimeter of this rectangle is 156 cm.
What is the length and width of the
rectangle?
2x + 1
3x + 2
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
The cost of 9 scarves is $87.75. What is the unit price?
Answer:
the answer is 9.75 for one
Step-by-step explanation:
divide 87.75/9
hope this helped
Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
What is the algebraic expression for 10 more than a number one s greater than 50
Answer (let x be the number):
x + 10 > 50
Step-by-step explanation:
Let x be the number
10 more than a number = x + 10Is greater than 50 = > 50Put them together: x + 10 > 50I hope this helps!
Convert the following equations from point-slope form to slope-intercept form.
9) y – 4 = 3(x – 1)
10) y – 1 = -4(x – (-3))
We need to solve both for y.
#9:
[tex]y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1[/tex]
#10:
[tex]y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11[/tex]
Which pair shows equivalent expressions?
A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10
Answer:
It's C
Step-by-step explanation:
When you multiply - 2 to what you have in the brackets you get - 2x - 10
Hope this helps, have a wonderful day
please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Henry was playing cards with some friends. He was winning 3 out of every 5 games. If he continues to win at this rate, how many games will he win if they play 75 games
Answer:
im jake paul
Step-by-step explanation:
team 10 is deade and i killed it i ate it
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?
Answer:
42+39 or 81 feet
Step-by-step explanation:
add them up and you get 81 feet.
Hope this helps plz hit the crown :D
six celebrity starring in a popular sitcom that has a 12-show season of each page $750,000 per episode additional cost of producing a sitcom total $275,000 per episode. A 12- show reality series cost $350,000 so produce each episode. What is the difference between the total cost to produce the sitcom and the reality series?
Answers: A is $53,100,000.00 B is $4,200,000.00 C is $57,300,000.00 and D is $61,500,000.00
Answer:
Choice A
Step-by-step explanation:
YW
Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?
Answer:
my mom calls me I'll be back
Which of these is not a unit for measuring weight?
A
ton
B.
gallon
С
ounce
D
pound
What is $36 plus $36
Answer: The answer is 72
Step-by-step explanation:
PLEASE HELPPPPP!!!!! WILL GIVE BRAINLIEST
If r represents the radius of a cylinder, what might the expression below represent? begin 2 πr cubed
A.
the volume of a cylinder whose height and diameter are equal
B.
the volume of a cylinder whose height and radius are equal
C.
the lateral area of a cylinder whose height and diameter are equal
D.
the lateral area of a cylinder whose height and radius are equal
Answer:
Step-by-step explanation: Equations representing direct, inverse, and joint variation are examples of ... When solving problems using rational formulas, it is often helpful to first solve the ... Now let's look at an example using the formula for the volume of a cylinder. ... is V = πr2h, where V is the volume, r is the radius and h is the height of the cylinder
If r represents the radius of a cylinder then 2πr³ can represent D. the lateral area of a cylinder whose height and radius are equal.
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Lateral surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, r represents the radius of a cylinder.
The expression 2πr³ can represent the lateral surface area of a cylinder whose height and radius are equal.
The lateral surface or curved surface area of a cylinder is 2πrh.
learn more about cylinder here :
https://brainly.com/question/16134180
#SPJ6