Answers
Answer: first one is a the second one is b
Step-by-step explanation:
the bottom is the total amount and the top should relate to the bottom
Related Questions
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answers
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
Write a problem that could be modeled with y = 200(0.9)^x
Answers
Answer:
Step-by-step explanation:
A new TV sells for $200. Every year, the TV loses 10% of the initial value.
Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.
Answers
Answer:
Step-by-step explanation:
Area of the figure = Area of semicircle + area of rectangle
Area of semicircle:
d = 14 mm
r = 14/2 = 7 mm
Area = (1/2)πr²
[tex]=\frac{1}{2}*\frac{22}{7}*7*7\\[/tex]
=11 *7
= 77 mm²
Area of rectangle:
length = 14 mm
Width = 10 mm
Area = length *width
= 14 * 10
= 140 mm²
Area of the figure = 77 + 140 = 217 mm²
The top of the gumball machine on the left is a sphere with a diameter of 20 inches. When the machine is full it can hold 3500 gumballs, leaving 40% of the space in the machine empty. What is the approximate radius of each gumball? Round to the nearest hundredth and use 3.14 for Pi
Answers
Answer:
0.555 in
Step-by-step explanation:
The first thing we must do is calculate the volume of the machine, the volume of a wait is:
v = (4/3) * pi * (r ^ 3)
we know that the diameter is twice the radius, therefore:
r = d / 2 = 20/2
r = 10, replacing:
v = (4/3) * 3.14 * (10 ^ 3)
v = 4186.66 in ^ 3
Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.
4186.66 * 0.6 = 2512
to calculate the volume of a chewing gum:
3500 * v = 2512
v = 2512/3500
v = 0.7177 in ^ 2 is the volume of a single chewing gum
if we solve the sphere formula for r, we are left with:
r ^ 3 = v * (3/4) / pi
replacing
r ^ 3 = 0.7177 * (3/4) /3.14
r ^ 3 = 0.1714
r = 0.1714 ^ (1/3)
r = 0.555
the radius of each gum is 0.555 in
The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.
Answers
Answer:
60ft^2
Step-by-step explanation:
60% of 10 is 6 and LxW is 10x6 so the area is 60 feet
Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times Marco can go on the ride if he wants to spend at most $35
Answers
Answer:
(35-5) / 0.75 = amount of times he can ride.
30/0.75 = 40
Does this help?
Step-by-step explanation:
If 50% of an item is 22.00 what is the original price ?
Answers
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
Find the quotient.
1. 48÷3=
.
2. In the expression, 96 divided by 8 = a , the quotient a =
.
3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.
Answers
Answer:
48÷3=16
Step-by-step explanation:
In the expression, 96 divided by 8 = a , the quotient a =12
. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are2
lizards in each group.
Answer:
1. 16
2. 6
3. 2
Step-by-step explanation:
Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)
Answers
Answer: 4
Step-by-step explanation:
Using pythagoras theorem =>
b=[tex]\sqrt{c^2-a^2[/tex]
b=[tex]\sqrt{5^2-3^2}[/tex]
b=[tex]\sqrt{25-9}[/tex]
b=[tex]\sqrt{16}[/tex]
b=4
Answer:
4
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
The measure of the hypotenuse is 5. The measure of the given leg is 3.
[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]
The unknown side of the triangle should be four units.
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answers
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
SDRTYUK243567Iaqwertyh.
Answers
Answer
B, i think
Step-by-step explanation:
If cos omega =
3
5
find tan omega
Answers
Answer:
mmm 30
Step-by-step explanation:
Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining
Answers
Answer:
He can make 4 groups as for the 5th group he left with 4 cookies.
So your answer would be 4 groups and 4 cookies.
hope it helps!
Find the least common denominator (LCD) of
3
7
and
5
8
Answers
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answers
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answers
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3%. Why is Jack's rule incorrect?
Answers
Answer:
B) [tex]3^{4} \neq 243[/tex]
Step-by-step explanation:
Rewrite the expression with a positive rational exponent simpmplify if possible 8^-5/3
Answers
Answer:
Step-by-step explanation:
hello : here is an solution
PLEASE HELP! Will KARK BRAINLIEST!
If 3/8 inches on a scale drawing is equivalent to one foot at full scale, what distance on the drawing will stand for 40 inches?
Answers
Answer:
A.) 1/8 Inches
Step-by-step explanation:
Please tell me the answer quick. Thank you in advance.
Answers
Answer:
1176 cm3
Step-by-step explanation:
What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98
Answers
64+ (98 +28) = (j +64) + 98
64+126 = (j+64)+98
190 = (j+64)+98
-98 -98
92 = j+64
-64 -64
28 = j
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answers
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
Which interval for the graphed function has a local
minimum of 0?
[-3,-2]
[-2,0]
[1,2]
[2,4]
Answers
Answer:
Interval for the function has local minimum of 0 is [2,4].
Step-by-step explanation:
You need to find the local minimum of 0 in the given function's graph.
In mathematics, local minimum is a point on a graph whose value is less than all other points near it.
See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4
So, final answer is :
Interval for the function has local minimum of 0 is [2,4].That's the final answer.
hope it helps
Answer: D
Step-by-step explanation:
2,4
The equation below describes a parabola. If ais negative, which way does the
parabola open?
Answers
Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
Look at the pic in the corner it’s math
Answers
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answers
Answer:
B
Step-by-step explanation:
A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answers
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
Select the correct answer.
Which statement describes the situation shown in the graph?
Answers
Answer:
there is no photo??where are the graphs??
(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
