Answer:
w=2
Step-by-step explanation:
A=length times width (A=lw)
w= l-3
A=10
Substituting in, we get:
10= l(l-3)
Now, solve the equation.
10= [tex]l^{2}[/tex]-3l
[tex]l^{2}[/tex]-3l-10=0
(l+2) (l-5)=0 (factoring the equation)
Therefore, l= -2 or 5
Throw out the negative value because a length of rectangle will never be negative.
Now let's solve for width
Remember w=l-3
therefore
(5)-3=2
so, w=2
(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)
Answer:
w=2 l=5
Step-by-step explanation: I got it right
Yo can someone help me out please?
Answer:
56.52in^3
Step-by-step explanation:
V=πr^2h
V=3.14×3^2×6in/3
V=3.14×9in^2×6in/3
V=3.14×54in^3/3
V=3.14×18in^3
V=56.52in^3
Find the distance between the two points in simplest radical form.
(-3, -4) and (-7, -9)
Answer:
√41 units
Please see the attached picture for full solution
hope it helps
Good luck on your assignment
Answer:
√ [41]
Step-by-step explanation:
Determine how much x and y each change, and then apply the Pythagorean Theorem to find the length of the hypotenuse (which is also the desired distance between the two points):
Moving from (-7, -9) to (-3, -4), x increases by 4 and y increases by 5.
Thus, the length of the hypotenuse / distance between the two points) is
d = √ [4² + 5² ] = √ [41]
what is the value of x in 2.5(6x-4)=10+(1.5+0.5)
Answer:
x = 22/15
Step-by-step explanation:
2.5(6x-4)=10+(1.5+0.5)
Combine like terms
2.5(6x-4)=10+(2)
2.5(6x-4)=12
Divide each side by 2.5
6x-4 = 4.8
Add 4 to each side
6x = 8.8
Divide by 6
6x/6 = 8.8/6
x = 88/60
x = 22/15
If Andre made another countryard scale drawing at a scale of 1 to 12, would this drawing be smaller or larger than the first drawing ? Explain your reasoning.
Answer:
smaller
Step-by-step explanation:
If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.
how many seconds are in 2.5 hours
Answer:
9000 sec.
Step-by-step explanation:
There are 60 sec in an hour and 60 sec in a min:
60 × 60 = 3600
Multiply 3600 to 2.5:
3600 × 2.5 = 9000
Therefore, there are 9,000 sec in 2.5 hrs.
what is x is the top is 5m
Answer:
6 m
Step-by-step explanation:
So
S = 42 = 1/2*h*(a+b) = 1/2 * h * (5+9)
h = 6m
Carol rolled a dice 150 times she rolled a six 29 times
Use carols data to estimate the probability of rolling a six with this dice
Give your answer as a fraction
Answer:
If Carol rolled a six 29 times in total (out of the 150 dice rolls) then the fraction would be 29/150
Step-by-step explanation: I think
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?
Answer: $23,600. ; $318,600
Step-by-step explanation:
From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.
The value of the increase will be 8% of $295,000. This can be mathematically written as:
= 8% of $295,000
= 8/100 × $295,000
= 0.08 × $295,000
= $23,600
The current value of the house will be:
= $295,000 + $23,600
= $318,600
Which is the equation of the line with slope 2 that passes through (8,14).
a. y=2x+2
b. y=2x-2
C. y=x-2
d. y=2-2x
Prove that your answer is true.
If you randomly select a letter from the phrase "Do not run on Ichiro," what is the probability that you select a vowel? (Your answer must be in the form of a reduced fraction.)
Answer: 7/16
Step-by-step explanation:
Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
For probability it is selected amount/ total amount
So 7/16, and this fraction is in its most simplified (reduced) form.
If this helped please mark me brainliest
The probability is [tex]7\div 16[/tex]
The calculation is as follows:Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
So, the probability is the same.
Find out more information about the probability here: https://brainly.com/question/795909?referrer=searchResults
Please answer the question below and show your work!
|
|
|
|
v
Answer:
10
Step-by-step explanation:
F + V − E = 2
Where F is the number of faces, V is the number of vertices and E is the number of edges
F + 16 - 24 = 2
Combine terms
F -8 = 2
Add 8 to each side
F -8+8 =2+8
F = 10
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
4^15/ b^21
Step-by-step explanation:
( b^7 / 4^5) ^ -3
b^7 ^ -3 / 4^5^-3
We know that x^y^z = x^ (y*z)
b^ (7*-3) / 4^(5*-3)
b ^ -21 / 4 ^ -15
We know that a^ -b = 1/ a^b
We do not like to leave negative exponents
1 * b^21 * 4 ^15
4^15/ b^21
The answer appears incorrect, please help me correct it :)
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
can someone lemme borrow their heart i been feeling lonely and i just want to be loved
Answer:
yes, of course.
Step-by-step explanation:
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what is the value of x+7 when x=3?
Answer:
10
Step-by-step explanation:
Replacing x for three (x=3) would make the equation then read 3+7
Answer:
The answer is 10.
Step-by-step explanation:
You have to substitute x = 3 into the expression :
[tex]x + 7[/tex]
Let x = 3,
[tex]3 + 7 \\ = 10[/tex]
How much will it cost in Canadian dollars to purchase €2000 at a bank that charges a 2.2% commission on the transaction? Use an exchange rate of $1 Canadian equals €0.711142.
Answer:
$2,874.25 Canadian dollar
Step-by-step explanation:
The first thing to do here is to calculate the amount of the commission.
That would be 2.2% of €2,000
= 2.2/100 * €2,000 = €44
Now the total cost to pay = selling price + amount in commissions = €2,000 + €44 = €2,044
But we need our answer in the Canadian dollars
Mathematically;
$1 Canadian = €0.711142
$x Canadian = €2,044
x = (2,044 * 1)/0.711142
x = 2,874.25014975912
This is approximately $2,874.25 Canadian dollar
What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)
Answer:
y = –5x + 3....... 1
y = 1 ..........2
Substitute y = 1 into the first equation
y = –5x + 3
1 = - 5x + 3
-5x = 1-3
- 5x = - 2
Divide both sides by - 2
x = 2/5 or 0.4
x = 0.4 y = 1
The solution to the above system of equations is ( 0.4 , 1)
Hope this helps
Answer:
0.4, 1
Step-by-step explanation:
A, The first one
If f(x) = 5x - 4 and g(x) = 4x + 1, find (f - g)(x).
Answer:
Step-by-step explanation:
5x - 4 - (4x + 1)
5x - 4 - 4x + 1
x - 3
Two planes are flying away from Toronto Pearson International Airport. The Air Canada
plane is flying with an average speed of 800 km/h in the direction of N30°W and the
British Airways plane is flying with an average speed of 750 km/h in the direction of
545°W. Assuming that the planes left at the same time, using different runways, how
far apart (to the nearest km) are the two planes after 90 minutes? N30°W means the angle
between north and west is 30° and 545°W the angle between south and west is 45°.
Please help ASAP!
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
He local zoo has 23 animals it can take on visits to schools and other community centers. How many ways can the zoo directors choose 9 animals for a trip to a middle school?
Answer:
207
Step-by-step explanation:
Which ordered pair is the solution to the system of equations?
x + 2y = -8
y= 1/2x-2
A two digit number is written at random what is the probability that the number will be odd
Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a = 2 and r = 3
a5 = [?]
Answer:
162
Step-by-step explanation:
Since the ratio is 3, the terms are 3 times the term before.
So the answer is 2*3^4 = 162
what two numbers are located exactly 3/2 unfits from 1/2 on the number line?
Answer: One of the numbers would be 2, and the other would be -1.
Step-by-step explanation: Looking at a number line, you can move 3 half units in either direction of the original point, in this case being 1/2, to find your answers
Which fraction is smallest?
4/35 OR 1/7 ?
Answer:
1/7 is the smallest fraction
In the figure below, triangle RPQ is similar to triangle RTS.
Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.
What is the distance between P and Q?
24
42
50
54
Answer:
The distance between P and Q is 54
Step-by-step explanation:
We are given that triangle RPQ is similar to triangle RTS.
Property of similar triangle: The ratio of any pair of corresponding sides is the same.
So, by property : [tex]\frac{RP}{RT}=\frac{PQ}{ST}[/tex]
PR=42
PQ=x
ST=36
RT=28
So,[tex]\frac{42}{28}=\frac{x}{36}[/tex]
[tex]\frac{42 \times 36}{28}=x[/tex]
54=x
Hence the distance between P and Q is 54
Answer:
D) 54
Step-by-step explanation:
Completed the test earlier
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25. How many blue marbles are in the bag?
2
3
5
6
Answer:
6 blue marbles
Step-by-step explanation:
Given;
Total number of marbles N = 15
probability of randomly selecting a green marble
P(G) = 1/5
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25
P(G∩B) = P(G) × P(B)
P(B) = P(G∩B) ÷ P(G)
The probability of selecting a blue marble
P(B) = 2/25 ÷ 1/5 = 2/5
The number of blue marbles N(B) = P(B) × N
N(B) = 2/5 × 15 = 6
There are 6 blue marbles
PLEASE HELP!!
According to the graph, what is the value of the constant in the equation below?
Answer:
C. 0.4
Step-by-step explanation:
Hope this helps :3
(feedback is very helpful ^w^)
4/5 of 30 =
2/9 x 45 =
24 x 1/6 =
Answer:
1) 24
2) 10
3) 4
Step-by-step explanation:
Sally's basic cable plan costs $55 a month and an additional $3 for each premium channel.
Cable plan B costs $60 and an additional $2.50 for each premium channel. Which plan is
cheaper if Sally wants to order 10 premium channels?
Step-by-step explanation:
Sally is paying $55 + $3×10 = $85 currently
if she switches to plan B the she will pay $60 + $2.50×10 = $85
That shows both of the cable plan costs same for monthly payment + 10 premium channels
