What is the slope of the line: y = 2x - 1?
Answer:
m=2
Step-by-step explanation:
The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, find the length of the porch. (Draw and label polygons then solve.)
Answer: The length of porch is 18 feet.
Step-by-step explanation:
Given: The scale drawing of a porch is 8 inches wide by 12 inches long.
The actual porch is 12 feet wide.
Actual porch and the drawing are similar, then
[tex]\dfrac{\text{Actual length}}{\text{Actual width}}=\dfrac{\text{ length in drawing}}{\text{Width in drawing}}[/tex]
[tex]\Rightarrow\ \dfrac{\text{Actual length}}{12}=\dfrac{12}{8}\\\\\Rightarrow\ \text{Actual length}= \dfrac{12}{8}\times12\\\\\Rightarrow\ \text{Actual length}= 18[/tex]
Hence, the length of porch is 18 feet.
Given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.
What are Similar Shapes?Shapes that are similar have corresponding sides that are proportional to each other.
Thus:
Length of scale drawing = 12 inchesActual length of porch = xWidth of scale drawing = 8 inchesActual width of porch = 12 ftTherefore:
x/12 = 12/8
Cross multiply
8x = (12)(12)
x = 18 inches.
Therefore, given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.
Learn more about similar shapes on:
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Seats at a local entertainment venue sell for $5 each in the lower level and $4 each in the upper level. If all the seats
are sold, the total revenue is $2,674. At a recent event, only 7 of the lower level seats and 9 of the upper level
seats were sold, for a total of 262 seats. Let x represent the total number of lower level seats, and let y represent the
total number of upper level seats.
Which equation represents the total revenue
5x + 4y = 2674
Which equation represents the total numb er of tickets sold?
1/7x + 4/7y = 262
How many seats does each section have?
Step-by-step explanation:
wapsi ki Vidya kya hai Hindi mein
answer this fast pls pls
Answer:
woof
Step-by-step explanation:
.
.
woof
.
.
Question Help
A forest covers 44,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
8,600 acres are old growth treees
Step-by-step explanation:
Here's The answer have a great day ♡ :)
A weather station reported 90% of the days in a 30-day period had measurable snowfall. How many of these days received measurable snowfall?
Answer:
27 days.
Step-by-step explanation:
Find 1% out of the 30-day period.
100% = 30 days
1% = 30 ÷ 100 = 0.30
Now find the percentage reported that had measurable snowfall which is 90%.
90% = 0.30 x 90 = 27
Out of the 30-day period, only 27 days received measurable snow.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Last year, "Raina" opened an investment account with $6500 . At the end of the year, the amount in the account has increased by 23% .
year end amount=_ X original amount
Year end amount_
Answer:
principal=$6500
time=1year
rate=23%
Step-by-step explanation:
amount=p(1+r/100)^t=$6500(1+23/100)=$6500×1.23=$7995 is total end amount.
interest gain=total end amount- principal=$7995-$6500=$1495
how many solutions does 5a-3=5a-3
Answer:
0
Step-by-step explanation:
5a-3=5a-3
or, 5a-5a=-3+3
or, 0=0 answer
Rewrite the fraction as a decimal: 8/25
A. 3.2 repeating decimal
B. 32
C. 0.32 repeating decimal
D. 0.32
(please explain how to do it)
Answer:
Answer is D.0.32
Step-by-step explanation:
Divide 8 by 25
8 divided by 25 is dividing the numerator of the fraction 8/25 by the denominator 25.
8÷25=0.32
0.32 is 8/25 in decimal form because fractions are converted into decimal form by dividing the numerator by the denominator.
I hope this helps!
pls help me asap!!!
Answer:
I think 6 1/2? srry if wrong
I really need help! How would I solve this? 4(x−6)−3=2(3−2x)−5
Write a ratio that can be expressed in lowest terms as 5:1
Answer:
20:4
Step-by-step explanation:
20 to 4 reduces to 5 to 1
Answer:
10:2
20:4
40:8
All ratios above simplified are 5:1
Step-by-step explanation:
The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.
Answer:
The new points under the translation are (-8,8) and (-8,8)
Step-by-step explanation:
The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw
Here is a probability scale
Answer:
(a) E - certain
Solve the equation for x.
[tex]\frac{1}{3} (6x-15)=\frac{1}{2} (10x-4)[/tex]
a.-10
b.1
c.[tex]\frac{1}{10}[/tex]
d.-1
Tysm:)
GIVING BRAINLIEST IF YOU CAN HELP PLEASE
Answer:
The rate of change will be $25
Step-by-step explanation:
Since she started from $45 we have to count again so on the chart it goes 5, 10, 15, 20, and 25!
Yesterday, there were 72 problems assigned for math homework. Elise got 54 out of 72 problems correct. What percentage did Elise get correct?
Answer:
5400 divided by 72 = 75
Step-by-step explanation:
75 %
tara has two bags of marbles. the first bag contains 6 red marbles, 5 blue marbles and 4 green marbles. the second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. tara will randomly select 1 marble from each bag. what is the probability that tara will select a blue marble from each bag.
Answer:
From the first bag the probability is 5 out of 15 or 1/3 simplified
The second bags probability is 4 out of 9
All the bags combined the probability is 9 out of 24
Step-by-step explanation:
The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator
With everything said all you have to do is figure out the two steps an you’re good to go
if a car travels 1/100 of a kilometer each second, how many kilometers does it travel per hour
Answer:
36 km
Step-by-step explanation:
If a car travels 1/100 of a kilometer each second, how many kilometers does it travel per hour? 1/100 * 3600 =36 km.
Why would a pacifier represent your past
Answer:
maybe?
Step-by-step explanation:
I am not sure
I REALLY need help with this one!
Find the LCM (Least Common Multiple) of
(5x-9) and (3x+8)
sorry it's too difficult
On Friday, 2/3 of the pizzas sold at a local pizzeria were larges. Of the large pizzas, 1/5 were cheese pizzas. What portion of the pizzas sold were large cheese pizzas?
8. 0.399 + w = 0.4
Please help!
Answer:
w = 0.001
Step-by-step explanation:
Q1 Q1 - Mean
Work out the mean of each set of numbers.
0
8
11, 8, 16, 11, 21
Maths
Answer:
Mean of given set of number μ = 10.7
Step-by-step explanation:
Explanation:-
Given that the set of numbers
0,8,11,8,16,11,21
Mean = ∑x / n
[tex]mean = \frac{0+8+11+8+16+11+21}{7} = 10.7[/tex]
Mean of given set of number μ = 10.7
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
Help plzz
h=8/7 (28)+92/4
Answer:
h = 55
Step-by-step explanation:
Solve for h by simplifying both sides of the equation, then isolating the variable.
Answer:
h=55
Step-by-step explanation:
I took the test and got it right
I need help on question 2
This is rotations btw
Answer:
it (3,-1) .....................
A store sells almonds for $8 per pound and peanuts for $14 per pound. A customer paid $31.50 for a 3-pound mixture of
aimonds and peanuts. The system of equations can be used to represent this situation.
x + y = 3
8x + 14y
31.5
Part A
What does the variable x represent in this system of equations?
Answer:
The number of pounds of almonds the customer purchased
Step-by-step explanation:
The system of equations can be used to represent this situation is as follows:
x + y = 3
8x + 14y = 31.50
The variable x represents the amount in pound of peanuts.
The almond cost $8 per pound and peanuts cost $14 per pound.
Therefore,
let
x = amount in pounds of almond
y = amount in pounds of peanuts
The customer bought a total of 3 pound. Therefore,
Total weight in pounds:x + y = 3The customer paid a total of $31.50 for the 3 pounds mixture. Therefore,
Total cost :8x + 14y = 31.50Therefore, the variable x represents the amount in pound of peanuts.
learn more on system of equation here: https://brainly.com/question/1625905?referrer=searchResults
3:9 and 27:81 are the ratios equivalent or not?
Answer:
Yes
Step-by-step explanation:
If you reduce 27:81 it will reduce to 3:9.
Mr. Tola has a piece of wood that's 8 1/4 feet in length. He wants to cut it into pieces that are each 3/4 foot in length. How many 3/4 foot pieces of wood can Mr. Tola make?
Answer:
2
Step-by-step explanation:
2/2 7//7 3/3/4/4/