Olivia is cutting a 1 1/2m by 3/4m piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the pieces
Answer:
Step-by-step explanation:
1½ m = 1.5 m
¾ m = 0.75 m
area of rectangle = 1.5×0.75 = 1.125 m²
Each piece is half the rectangle. Area of one piece = 0.5625 m²
What is the product of 4.5 ⋅ 10^5 and 1.6 ⋅ 10^2?
Answer: 450000, 160
Step-by-step explanation:
4.5 ⋅ 10^5 =
4.5*100000=
4*100000+0.5*100000=
400000+50000=450000
1.6 ⋅ 10^2=
1.6*100=
1*100+0.6*100=
100+60=160
Find the midpoint of the line segment with the given endpoints.
6) (-7, -10), (-2, -3)
(separate questions)
7) (-4,-3), (8, 2)
Question 6
\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)
Question 7
\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)
A car is 170 inches a tuck is 8% longer how long is the truck
In parallelogram PQSR, what is PQ? 2 cm 5 cm 6 cm 9 cm
Answer:
D) 9 cm
Step-by-step explanation:
EDGE 2020
(D) 9 cm.
Parallelogram:A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.In contrast, a quadrilateral with only one set of parallel sides is referred to as a trapezoid or trapezium in British or American English.The parallelepiped is a parallelogram's three-dimensional equivalent.Therefore, the correct answer is (D) 9 cm.
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I need help on number 5 please. will mark brainlist
Answer:2 5/10 ton
Step-by-step explanation
Write the equation of the line that passes through the points (5, -1) and
(2, -1). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
y = -1
Step-by-step explanation:
First, you find the slope by using the slope formula and get 0. Now, choose one coordinate and plug it into the equation y = mx + b along with the slope. If you chose the first coordinate, the equation would be -1 = (0)(5) + b. After solving for b (the y-intercept) you would get -1. Lastly, you rewrite the equation as y = -1.
Find the total value of an investment of $12,700 at 8.8% for 1 year to the nearest dollar.
Answer:
$13,817.60
Step-by-step explanation:
Interest earned = $12,700 × \(\frac{8.8}{100}\) × 1
= $1,117.60
Total earned = $1,117.60 + $12,700
= $13,817.60
Help!!!
The bike store marks up the wholesale cost of all of the bikes they sell by 50%. Andre wants to buy a bike that has a price tag of $250. What was the wholesale cost (before the price markup) of this bike? Round to the nearest hundredth (cent). Remember your units ($ sign).
The bike store marks up the wholesale cost of all of the bikes they sell by 50%. Andre wants to buy a bike that has a price tag of $250. If the bike is discounted (on sale) by 40%, how much will Andre pay (before taxes)?
With a coupon, you can get a pair of shoes that normally costs $184 for only $114. What percentage was the discount? Round to the nearest HUNDREDTH. Remember your units (% sign).
9514 1404 393
Answer:
a) $166.67
b) $150
c) 38.04%
Step-by-step explanation:
a) The selling price (s) is the sum of the wholesale price (w) and the markup (m).
s = w + m
We have ...
250 = w + 0.50×w
250/1.50 = w = 166 2/3 ≈ 166.67
The wholesale cost of the bike is $166.67.
__
b) The price of the bike after the discount is 100% -40% = 60% of the tagged price:
0.60 × $250 = $150 . . . . . the discounted price
(Aside: we note this is less than the wholesale price, so the store is taking a loss on the bike when it is discounted this much.)
__
c) The percentage change is found by ...
percent change = ((new value)/(old value) -1) × 100%
= (114/184 -1) × 100% = (0.619565 -1) × 100% ≈ -38.04%
The discount is about 38.04%.
using a calculator, or otherwise calculate the exact value of 1 4/7 + 2/3 - 1 5/6
Answer:
1/6
Step-by-step explanation:
i used a calculator
Decide whether the function is polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.
f(x)= 9x^4 + 8x^3 - 6x^-2 + 2x
Answer:
It is not a polynomial function, because it includes a negative exponent.
Answer:
Step-by-step explanation:
Leading coefficient = 9
It is in standard form.
It is degree 4
It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.
I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder
A class of 100 students contains 20 freshmen, 30 sophomores, 40 juniors, and 10 seniors. I randomly select one student. What is the conditional probability they are a sophomore, given that they're an underclassman
Answer:
There would be a 30% chance that you would select a sophomore.
Step-by-step explanation:
Since there is 100 students all together then 30 of the sophomores would be 30% of 100. So the answer is 30%
A tennis shop uses a machine to string tennis racquets to specific tensions requested by their customers. There's variability in the results, so when the machine is set to string at a tension of 60 pounds, the resulting racquets have a mean tension of 60 pounds with a standard deviation of 0.5 pounds.
Suppose that we took random samples of 36 racquets and calculated the sample mean tension from each sample. We can assume that the racquets in each sample are independent.
What would be the shape of the sampling distribution of the sample mean tension?
Answer:
Approximately Normal
Step-by-step explanation:
Even though we don't know the shape of the population distribution of tensions, the sampling distribution of the sample mean will be approximately normal since the sample size is large (n=36≥30).
2(3y+6)−3(−4−y) simplified
Answer:
9y+24
Step-by-step explanation:
2(3y+6)-3(-4-y)
Expand the brackets.
6y+12+12+3y
Rearrange.
6y+3y+12+12
Add like terms.
9y+24
Answer:
9y+24solution,
\(2(3y + 6) - 3( - 4 - y) \\ = 6y + 12 + 12 + 3y\)
Collect like terms,
\(6y + 3y + 12 + 12\)
Simplify
\(9y + 24\)
hope this helps...
Good luck on your assignment..
Where does the normal line to the paraboloid z = x2 + y2 at the point (4, 4, 32) intersect the paraboloid a second time?.
The normal line intersects the paraboloid again at the point (-2, -2, 20).
Where does the normal line to the paraboloid intersectThe normal to the paraboloid at point (4, 4, 32) is perpendicular to the tangent plane at that point. The equation of the tangent plane is given by:
z - 32 = f_x(4,4)(x-4) + f_y(4,4)(y-4)
where f_x and f_y denote the partial derivatives of f(x,y) = x^2 + y^2 with respect to x and y, evaluated at (4,4):
f_x(4,4) = 8
f_y(4,4) = 8
Therefore, the equation of the tangent plane is:
z - 32 = 8(x-4) + 8(y-4)
Simplifying:
z = 8x + 8y - 32
The normal to the paraboloid at (4, 4, 32) is the gradient of f(x,y) = x^2 + y^2 at that point, which is:
grad f(4,4) = <8, 8>
Therefore, the equation of the normal line passing through (4, 4, 32) is:
x = 4 + 8t
y = 4 + 8t
z = 32 + 8t
We need to find where this line intersects the paraboloid z = x^2 + y^2 a second time. Substituting the equations of x and y into the equation of the paraboloid, we get:
z = (4 + 8t)^2 + (4 + 8t)^2
Simplifying:
z = 128t^2 + 64t + 32
Setting this equal to the equation of the line, we get:
32 + 8t = 128t^2 + 64t + 32
Simplifying:
128t^2 + 56t = 0
Factorizing:
t(128t + 56) = 0
Therefore, t = 0 or t = -7/16.
When t = 0, the line intersects the paraboloid at the point (4, 4, 32), which is the point of tangency.
When t = -7/16, the line intersects the paraboloid a second time. Substituting t = -7/16 into the equations of x, y, and z, we get:
x = 4 + 8(-7/16) = -2
y = 4 + 8(-7/16) = -2
z = 32 + 8(-7/16) = 20
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Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
Which of these is not a factor you need to consider when choosing a bank?
a. The number of ATM machines
b. Branch locations
c. How often you need access to your money
d. The amount of money you paid in income taxes last year
СА
ОООО
С
D
Answer:
a,b,c
Step-by-step explanation:
I don't know how banks in books work, but in reality you have to know the amount of money you paid in income taxes last year, because you don't want to get cheated with money especially by a bank.
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23Each time Kristine gets paid, she spends $20 and saves the rest. If the amount Kristine earns is represented by x and the amount she saves is represented by y, which graph models her savings?
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (5, 100) and (10, 200).
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 1) and (40, 2).
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (0, 20) and (10, 30).
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).
Answer:
A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).
Step-by-step explanation:
If Kristine spends $20 and saves the rest when she gets paid, the amount she saves should always be 20 less than the amount she earned.
The points (20, 0) and (25, 5) accurately represent this, where x is how much she earns and y is how much she saves.
(20, 0) represents her earning $20 and saving $0, because she spends $20 every time she gets paid.
(25, 5) represents her earning $25 and saving $5, because she spent $20.
So, the correct graph is A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).
Answer:
d
Step-by-step explanation:
Write the following ratio using two other notations.
1
6
Use only the numbers above (not any others).
Notation one:
口口
Notation two:
The ratio of values 1 and 6 in two notations are 1:6 and 1/6.
What is the Ratio?The ratio can be given as the composition of one value over another value or the fraction of one quantity towards others. e.g.- water in milk.
Here,
While writing the ratio it must be a fraction pattern so it shows the relation of one value with other.
Now, the two types of writing the ratio are given as,
Type 1 of writing the ratios of 1 and 6,
is 1 : 6
Type 2 of writing the ratio of 1 and 6,
is 1 / 6
Thus, the ratios using two notations are given as 1:6 and 1/6.
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I don’t think this is right I need help?
Answer:
1 and 2
Step-by-step explanation:
If x is 1: 2 x 1 + 7 = 2 + 7
= 9 This works.
If x is 2: 2 x 2 + 7 = 4 + 7
= 11 This works
If x is 3: 2 x 3 + 7 = 6 + 7
= 13 This does not work since 2x + 7 has to be less than 13.
Which expression shows a way to find 20% of 950
1/20 / 950
1/20 • 950
1/5 • 950
1/5 / 950
Answer:
C
Step-by-step explanation:
20% x 950
Calculate 20% x 950 = 190
Match the options one by one and there
Answer:
C: 1/5 · 950Step-by-step explanation:
I got it correct on I-ready.
Hope this helps!!
The question is in the picture.
Answer:
6/3=22/x would be 11
Step-by-step explanation:
hope this is helpful
Answer:
Answer is 11
Step-by-step explanation:
3x22=66
6×X=6X
66/6X=11
In the figure below, O is between M and P , and N is the midpoint of MO . If N P=12 and NO=5 , find MP.
MP= ?
Answer:
MP = 17
Step-by-step explanation:
given N is the midpoint of MO , then MN = NO = 5 and
MP = MN + NP = 5 + 12 = 17
Decide whether the following statement makes sense or does not make sense. My monthly cash flow was -$249 which explains why my credit card debt kept rising.
How Much Does One Apple Cost?
Answer: 0.28
Step-by-step explanation:
give banana = x and apple = y
2x + y = 1.12 --- 1
x + y = 0.70 --- 2
1 - 2
= (2x + y) - (x + y) = 1.12 - 0.70
2x + y - x - y = 0.42
x = 0.42
so apple ; 0.42 + y = 0.70
= 0.28
please give me a brainliest answer
solve for x 3(x + 2) = y - 6
Answer:
(y - 12)/3.
Step-by-step explanation:
To solve for x in the equation 3(x + 2) = y - 6, we need to isolate x on one side of the equation.
First, we will distribute the 3 to the expression inside the parentheses:
3x + 6 = y - 6
Next, we will isolate the x term by subtracting 6 from both sides:
3x = y - 12
Finally, we will solve for x by dividing both sides by 3:
x = (y - 12)/3
Therefore, the solution for x in terms of y is x = (y - 12)/3.
Answer:
therefore x = y-4
Step-by-step explanation:
\(3(x + 2) = y - 6 \\ 3x + 6 = y - 6 \\ 3x = y - 6 - 6 \\ 3x = y - 12 \\ \frac{3x}{3} = \frac{y - 12}{3} \\ x = y - 4\)
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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