the average rate of change is 12
What is the area of this quadrilateral?
8 ft
6 ft
3.ft
A. 33 square feet
B. 42 square feet
C. 17 square feet
D. 66 square feet
Answer:
a. 33 sqft
Step-by-step explanation:
The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles
Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)
The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24
The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9
Total area is sum of these two or 24 + 9 = 33
x-4y=-4
5x – 4y= 12
Answer: {x,y} = {4,2}
[1] x - 4y = -4
[2] 5x - 4y = 12// Solve equation [1] for the variable x
[1] x = 4y - 4
// Plug this in for variable x in equation [2]
[2] 5•(4y-4) - 4y = 12
[2] 16y = 32
// Solve equation [2] for the variable y
[2] 16y = 32
[2] y = 2
// By now we know this much :
x = 4y-4
y = 2
// Use the y value to solve for x
x = 4(2)-4 = 4
Step-by-step explanation:
Answer: x=4 y=2
Step-by-step explanation:
the area of a rectangle pool is 6688 m2 if the width of the pool is 76 m what is the length
Answer:
88
Step-by-step explanation:
y is directly proportional to x.
when y=30, x=6
work out an equation connecting y and x
Answer:
y = 5x
Step-by-step explanation:
Use the direct variation equation y = kx
Plug in 30 as y and 6 as x, then solve for k
y = kx
30 = k(6)
5 = k
Plug in 5 as k into y = kx
y = 5x
So, the equation relating x and y is y = 5x
Answer:
y=5x
Step-by-step explanation:
30 divide by 6 = 5 so y = 5x
Morgan is 15 years younger than Mrs. Santos.
Their combined age is 44.
Answer:
Mrs.Santos is 29.5 and Morgan is 14.5
Step-by-step explanation:
x - 15 + x = 44 where x is Mrs.Santos age
2x - 15 = 44
2x = 59
x = 59/2 = 29.5
find (fg) (x)
f(x)= 4x2 +x4
g(x)= root x2+4
[tex](fg)(x) = f(x)\cdot g(x) \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\sqrt{x^2+4} \\~\\(fg)(x) = \left(4x^2 +x^4\right)\cdot\left(x^2+4\right)^{\frac{1}{2}}[/tex]
a)
To estimate the sum of two mixed numbers, Grace rounds one number to 7 and the other number to 4.
Which could be the number she rounds to 7?
Answer:
Step-by-step explanation:https://brainly.com/question/21290288
Answer:
6 9/14
Step-by-step explanation:
Well, we know that 9/14 is bigger than 1/2, so that means that 6 9/14 will be rounded to 7. If it is over 1/2, you round up, if 1/2 less, than it stays the same.
Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was 728. Determine the original price of the computer. Calculate how much money mason saved by using the coupon.
Answer:
Mason saved $312.00.
Step-by-step explanation:
This is because, if you multiply the original price by 30%/100 or $1040 x 0.3 you get $312.00. So basically, multiply the original price by the discount number over 100 you get your answer.
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The original price of the computer is 1040.
The amount saved by Mason using the coupon is 312.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Coupon = 30% off
Cost of the computer after the coupon = 728
This means that the cost of the computer is only 70% since 30% is off.
70% = 728
We know that the original price is 100%.
So,
70% = 728
Multiply 100/70 on both sides.
100/70 x 70% = 100/70 x 728
100% = 1040
The original price of the computer is 1040
The amount saved is:
= 1040 - 728
= 312
Thus,
The original price of the computer is 1040.
The amount saved by Mason using the coupon is 312.
Learn more about percentages here:
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The ratio of the number of fiction books to the number of non-fiction books in a library is 8:5. There are 678 more fiction books than non-fiction books. How many non-fiction books are there in the library?
Answer:
1130 non fiction
Step-by-step explanation:
F=fiction
NF=non fiction
F-678=NF
5F=8NF
so NF=5/8F
substitute:
F-678=5/8F
reduce:
3/8F=678
F=1808
NF=1130
There are 1130 non fiction books in the library.
Given that,
Ratio of fiction books (F) to non fiction books (NF) is 8:5.678 more fiction books in library.We need to find the number of non fiction books.According to the scenario, calculation of data are as follows,
[tex]\frac{F}{NF} = \frac{8}{5}[/tex]
or 5F = 8NF
Now, NF = F-678
By putting the value, we get
5F = 8 ( F - 678)
5F = 8F - 5424
3F = 5424
F = 1808
So, By putting in 1st eq. we get,
5 [tex]\times[/tex] 1808 = 8NF
NF = 9040 [tex]\div[/tex] 8
NF = 1130
Non fiction books = 1130 books.
Learn more about ratio : https://brainly.com/question/606119
Philip ran out of time while taking a multiple-choice test and plans to guess on the last 444 questions. Each question has 555 possible choices, one of which is correct. Let X=X=X, equals the number of answers Philip correctly guesses in the last 444 questions. Assume that the results of his guesses are independent.
The probability that Philip answers exactly one question correctly in the last 4 questions is 0.4096.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur
It should be noted that this relates to a binomial probability. This is Illustrated as:
n! / x! (n - x)!
n = number if questions = 4
The probability will be:
P(x = 1) = (0.2)¹ × 0.8³.
= 0.4096
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Find the sale price.
Original price: $50
Discount: 15%
Sale price: $
Answer:
$42.50
Step-by-step explanation:
Take 50 multiplied by .15 and that gives you 15% of 50. Then just subtract the answer from 50.
Answer: $42.50
Step-by-step explanation: (50 x 15)/100 = $7.50 than 50 - 7.50 = $42.50
guys help please bro
Answer:
132 square meters
Step-by-step explanation:
You can split the shape into two figures. They both will be parellelograms.
Area of parallelogram: A=bh
11 *6=66
66 *2= 132
Answer: 132 square meters
PLZ HELP I GIVE 15 POINTS
Answer:
4 1/12. (Four, one by twelve).
Step-by-step explanation:
7/12 × 7 =?
7/12×7 = 49/12.
The answer is now in improper fraction. When we convert it to mixed fraction we get the answer as 4 1/12. (Four, one by twelve).
HELPPP PLSSS , geometry
Answer:
64
Step-by-step explanation:
Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64
Bath and $38,000 in student loans the interest rate on her salons is 8.25% per year she will be painless loans off for 20 years how much will Best pay altogether
Answer:
$100,700
Step-by-step explanation:
Given data
Principal= $38,000
rate= 8.25%
Time= 20 years
Applying the simple interest
A=P(1+rt)
substitute
A=38000(1+0.0825*20)
A=38000(1+1.65)
A=38000*(2.65)
A=$100,700
Hence in 20 years she will pay $100,700
Lauren is given a 12% pay rise. Her new salary is £24,080
What was Laurenʼs salary before the pay rise?
Answer:
21,500
Step-by-step explanation:
Why was it important for Athens to have a good navy?
Athens was located on an island.
Sparta was likely to attack by sea.
They needed a way to quickly flee the city.
Transportation in the area was mostly by sea.
Answer:
this would be answer d
owu when minecraft talks to me its like mr blue horse please tell me why you you lead all the creepers to my Mario world 1. he go brrr on a stick is a dog that wants to be a bottle at night with the sun up and the bird went for a walk in his cage while sleeping so i opened a book and it played a video
Step-by-step explanation:
Answer:
the other person is correct
Step-by-step explanation:
D
Which inequality is NOT true if y = -5?
A. 2y - 10 > 13
B. -14 + 6y < 8
C. 3y + 9 > -15
D. -24 - 4y < -3
Answer:
A
Step-by-step explanation:
2(-5) - 10 > 13
-10 - 10 > 13
-20 is not greater than 13.
Answer:
A
Step-by-step explanation:
There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble
is selected, it is not replaced. Find the probability.
(Red and then blue)
9. What is the numerator for the probability?
10. What is the denominator for the probability?
Step-by-step explanation:
step 1. we will call the probability P.
step 2. P = (3/6)(1/5) = 3/30 = 1/10.
PLEASE HELP URGENT!! giving 20pts and brainliest!!
Rule: opposite sides are equal/ angles are equal.
simplify the expression for the area
Answer:
10x+276
Step-by-step explanation:
Use the equation (12)(5/6x+23)=area
Use the distributive property as seen in the image below.
This will get (12(5/6x)) + (12(23))Solve
60/6x+276Now simplify
10x+276Solve for m
-3/7m=12
m=-28
m=-26
m=26
m=28
Angles Relations
PLEASE HELP!!
A. complementary
B. Alternate exterior
C. alternate interior
D. corresponding
Answer:
here you can see that this angles formed is alternate interior angles because you can see SZ shape the angle formation in here angle relation is 100% sure it is alternate interior angles don't confuse with alternate exterior it is alternate interior angles
Answer:
option B
[tex]aleternate \: exterior[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.
Answer:
Step-by-step explanation:
2n+15>3
Answer:
2x + 15 > 3
IS THIS RHIGT?
eXPLANATION :
Twice a num = 2(x)
sum of it and 15 = 2x + 15
is greater than 3 = >3
so : 2x + 15 > 3
Pls help me this is do in 10 minutes
y= - 1 / 4 x + 8
its for math 8 thanks yall :)
Answer:
[tex]x =-4y+32[/tex]
Step-by-step explanation:
Calculations:
[tex]y=-\frac{1}{4} x+8[/tex]
[tex]y-8=-\frac{1}{4}x[/tex]
[tex]x =-4y+32[/tex]
Questions one and two I'll give brainliest if right.
Mandis planned to spend RI 000 for shoes this week.
On Monday she spent R228.95 ond on Thursdays she spent
38 on shoes
how much money does she have left for the week?
P700
Answer:
733.05
Step-by-step explanation:
170% of what number is 35? Provide an exact fraction answer.
Answer: 25.88
Step-by-step explanation:
As a fraction it is 22/25 pls mark brainliest
find the value of x in the diagram below
Answer:
x=26
Step-by-step explanation:
4x-8+34+76-x=180
4x-x-8+34+76=180
3x+102=180
3x=180-102
3x=78
x=78/3
x=26