Given :
Length of ramp( Hypotenuse ), l = 10 ft .
Length of base, b = 5 ft .
To Find :
How high were the porch steps.
Solution :
Let, height is h.
By Pythagoras theorem :
[tex]b^2+h^2=l^2\\\\h=\sqrt{l^2-b^2}\\\\h=\sqrt{10^2-5^2}\\\\h = \sqrt{75}\\\\h = 5\sqrt{3}\ ft[/tex]
Hence, this is the required solution.
A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
[tex]26M + 56D = 2278[/tex] ---- equation 1
[tex]M = 3D[/tex] ---- equation 2
A microscope costs S51 and a dissection kit costs S17
Step-by-step explanation:
Given
Represent microscope with M and Dissection kits with D
Cost:
[tex]M = 3D[/tex]
[tex]Total = 2278[/tex]
Required
Represent as an equation:
To do this, we represent the equation in terms of cost and quantity
In terms of cost, we have:
[tex]26M + 56D = 2278[/tex] ---- equation 1
and
[tex]M = 3D[/tex] ---- equation 2
Substitute 3D for M in equation 1
[tex]26*3D + 56D = 2278[/tex]
[tex]78D + 56D = 2278[/tex]
[tex]134D = 2278[/tex]
Divide both sides by 134
[tex]D = \frac{2278}{134}[/tex]
[tex]D = 17[/tex]
Substitute 17 for D in [tex]M = 3D[/tex]
[tex]M = 3 * 17[/tex]
[tex]M = 51[/tex]
Hence:
A microscope costs S51 and a dissection kit costs S17
what’s this in standard form
Answer:
0.614
Step-by-step explanation:
will give branliest if correct :)
Answer:
15.71
Step-by-step explanation: I did It on a peice of paper and it's a mess so yeah......
A(n)______ dot on the graph of an inequality shows that the points IS a solution of the inequality.
A) flat
B) open
C) closed
D) invisible
Answer:
c because an open doesnt mean its guaranteed but it starts at closed.
Please help me!! Thank youu
Answer:
6.5x and 3.05x were adding incorrectly.
Step-by-step explanation:
The answer to adding those two numbers would be 9.55x
Answer:
error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x
6th grade math
34/51 = x/3
solve pls
Question 2 of 5
Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $3.00. Enrico buys 5 pounds and
pays $7.50. Anna buys 3 pounds and pays $4.50.
Identify the graph and unit price that represent the orange costs.
Answer:
C because i looked it up here is the answer
Step-by-step explanation:
can i please have brainlist
Answer:
C-hope this helps :)
Step-by-step explanation:
:)yeet and delete
What is the equation represented by this line?
ANSWER ASAP GIVING BRAINLEST
Answer:
the linear equation is y= -4/3x + 2
Answer:
y=-x+2
Step-by-step explanation:
You want to apply two coats of paint to walls that are 8 ft high in a room that is 7 11/12 feet wide and 9 5/6 feet long. One gallon of paint covers 350 square feet.
Answer:
Paint required will be 2.06gallons
Step-by-step explanation:
The given dimensions are
Height - 8ft
Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft
Length - 9. 83ft
To calculate the the amount of paint required to paint the walls we need to find the area of the walls
wall 1 = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]
wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]
The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]
ceiling area = 77.66[tex]ft^2[/tex]
total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]
One gallon of paint covers 350 [tex]ft^2[/tex] of area
so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint
also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons
A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?
Given:
Amount saved in sale = $25
Sale price was 35% off the regular price.
To find:
The regular price of the tennis shoes.
Solution:
Let the regular price of the tennis shoes be x.
Sale price was 35% off the regular price.
[tex]Discount=\dfrac{35}{100}x[/tex]
Amount saved in sale = $25
[tex]0.35x=25[/tex]
Divide both sides by 0.35.
[tex]x=\dfrac{25}{0.35}[/tex]
[tex]x=71.42857[/tex]
[tex]x\approx 71.43[/tex]
Therefore, the regular price of the tennis shoes is $71.43.
need help i can maybe help y'all and if yall need points i can give y'all points and if i need some points maybe yall can help give points? enjoy your day and weekend
Answer:
whats up?
Step-by-step explanation:
Answer:
i have some bio questions that i need answered lol
Step-by-step explanation:
Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply.
The domain is all real numbers.
The range is all real numbers greater than or equal to 1.
The y-intercept is 3.
The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2.
The graph has two x-intercepts. HELP 40 POINTS
Answer:
A and C
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation: hope it helps ^w^
2 (4x-2)- 5x=-18
HELP!!
Answer:
x = -14/3
Step-by-step explanation:
2 (4x-2) - 5x = -18
8x - 4 - 5x = -18
8x - 5x = -18 + 4
3x = -14
x = -14/3
I'm not sure if this is what you were asking for but, ya..
How can you write 5+5+5 using a different math operation
Answer:
five plus five plus five
Step-by-step explanation:
This is in wording
Answer:
Lots of ways
Step-by-step explanation:
5x3
5(3)
5+5+5
10+5
Which word describes the slope of the line?
Answer:
rate of change
Step-by-step explanation:
Answer:
"rise over run" or "rate of change"
Step-by-step explanation:
"Slope" itself is "rise over run", or how quickly the line moves up or down relative to the x-axis as the value of x changes.
A gradient is really just another name for slope, not a description OF a slope.
5x-6
3x +2
5yº
Only enter the number. What is the value of x?
Answer:
4
Step-by-step explanation:
what’s the mode,range and shape?
Answer:
range=4.5-0.5 (highest number less than lowest number)=3.0
I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282
Answer:
8.6395761e+25
Step-by-step explanation:
no
Can someone help me on this pls?
Answer:
2 2/5
Step-by-step explanation:
The graph shows the savings in Andre’s bank account.
Answer:
As the number of week increases, the Andre's savings also increases
Step-by-step explanation:
Given
The attached graph
Required
Explain what the slope represents (Missing part of the question:)
First, we'll check the slope of the graph.
Represent time in weeks with x and savings in dollar with y
So, we have the following details:
[tex](x_1,y_1) = (0,40)[/tex]
[tex](x_2,y_2) = (8,80)[/tex]
Slope (m) is then calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{80 - 40}{8 - 0}[/tex]
[tex]m = \frac{40}{8}[/tex]
[tex]m = 5[/tex]
The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases
find one arithmetic means between 2 and 32? step-by-step
Answer:
17
Step-by-step explanation:
An arithmetic mean is the average of the 2 given numbers, that is
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{2+32}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17
after giving 8 apples to her friend, John finds notices that two third of the remainder is 12.how many appledid she have all tigether
Answer:
26
Step-by-step explanation:
It started with x apples.
8 were given away.
Now there are x - 8 apples.
Two thirds of the remainder is (2/3)(x - 8).
That is equal to 12.
(2/3)(x - 8) = 12
x - 8 = 18
x = 26
There were originally 26 apples.
Answer:
26, if I understood the question correctly.
John has an amount of apples, gave 8 to her friend, and noticed that two thirds of the remainder is a dozen.
Step-by-step explanation:
If 2/3 of the remainder is 12, then we can set this up as an algebraic equation to see what the remainder started with.
x*2/3=12
Now we can see that we need to divide the 2/3 to get the answer for what x is equal to.
[tex]x=12/(\frac{2}{3} )[/tex]
To divide fractions, you multiply by the reciprocal, (or the fraction upside down)
[tex]x=12*(\frac{3}{2})[/tex]
When we multiply 12 by 3/2, we get 36/2, and when we reduce, we get 18.
If the entire remainder is 18, then the original total would be 18 plus the 8 that John gave to her friend.
18+8=26
Kind of a strangely worded question, I hope I understood correctly
7x-11>3
Solve and graph for X
Beep help please ASAP
What is the solution for x in the equation? -2x + 14 + 10x = 34 A. X=6 B. X=2/5 C. X=1/8 D. X=5/2
Answer:
Step-by-step explanation:
x =(10-√-800)/2=5-10i√ 2 = 5.0000-14.1421i
x =(10+√-800)/2=5+10i√ 2 = 5.0000+14.1421i
the answer is 5/2
Step-by-step explanation: im just that good enjoy the free answer you cheating loser
A line passes through (3, -3) and has a slope of 3. What is an equation of the line ???
Answer:
y=3x-3
Step-by-step explanation:
y=mx+b
m=slop
b=y intercept
Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 5 people? ASAP correct answers only
a. 3/40 teaspoon c. 1 teaspoon
b. 15/40 teaspoon d. 1 7/8 teaspoons
Answer:
D
Step-by-step explanation:
You can multiply the numerator by 5 to get the answer of 15/8 which when simplified comes to 1 7/8 teaspoons. 8 goes into 15 one time with 7 left over
Hope i explained everything thoroughly!
What's the answer to this?
Answer:
steeper
Step-by-step explanation:
D) Vertically compressed
E) Flatter
=====================================================
Explanation:
An example would be if a = 0.5 which leads to the graph being half as tall as it used to be since 1/2 = 0.5; notice how a = 0.5 makes 0 < a < 1 true. Since the graph is squished vertically, the graph is flatter.
We don't have a reflection over the x axis since 'a' is not negative.
----------------
Extra info:
If a > 1 then the graph is stretched vertically to make it taller than it used to be. Eg: a = 5 leads to the graph being 5 times taller than before which also would make it steeper too. The value of d handles the vertical shifting. If d > 0, then we shift up d units. If d < 0, then we shift down |d| units.What is x- value of point A
Answer:
5
Step-by-step explanation:
if AB || CD and AC = BD, is ACD = CAB?
A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?
Answer:
12
Step-by-step explanation:
It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.