Answer:
y = -6, x =2
Step-by-step explanation:
To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.
2x+y = -2
5x + 3y = - 8
There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.
-6x -3y = 6
5x +3y = -8
Imagine you are adding the two equations together. You end up with
-x = -2
Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.
x = 2
Finally, choose one of your beginning equations and plug your new-found x value back into the equation.
2(2) +y = -2
4 + y = -2
y = -6
Which sign makes the statement true? 1
The sign that makes the statement true is < (less than): 1/3 < 2/3.
What is inequality?In mathematics, an inequality is a mathematical expression that shows the relationship between two values or quantities, usually indicating which value is greater than, less than, or equal to the other. Inequalities are represented by the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, x < y means x is less than y, and x ≥ y means x is greater than or equal to y. Inequalities can also involve variables, and can be solved to find the range of values that make the inequality true.
Here,
The statement 1/3 < 2/3 means that the value of 1/3 is less than the value of 2/3. In other words, when we compare the two fractions, we find that 2/3 is larger than 1/3.
To understand this better, we can think of a whole object (e.g. a pizza) that we want to divide into three equal parts. If we take only one of those parts, that would be represented by the fraction 1/3. On the other hand, if we take two of those equal parts, that would be represented by the fraction 2/3. Therefore, 2/3 is a larger fraction than 1/3, which is why the sign < (less than) makes the statement true.
To know more about inequality,
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A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.
1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?
2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?
Answer:
I think the volume would be 9 times greater, and the surface area would be 3 times greater
Step-by-step explanation:
Answer:
the volume would be 9 times greater
the surface area would be 3 times greater
Step-by-step explanation:
Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.
If bananas are $0.50 each, how much would it cost for 7 bananas?
Answer:
Step-by-step explanation:
total cost = unit cost times number purchased:
total cost = ($0.50/banana)(7 bananas) = $3.50 for 7 bananas
Answer: $3.50
Step-by-step explanation:
Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1
Given:
The ratio is [tex]\dfrac{3}{1}[/tex].
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]\tan^{-1}\dfrac{3}{1}[/tex]
= [tex]\tan^{-1}3[/tex]
Using scientific or graphing calculator, we get
Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]71.565^\circ[/tex]
Round to the nearest degree
Inverse tangent of the ratio [tex]\dfrac{3}{1}\approx 72^\circ[/tex]
Therefore, the correct option is C.
Lisa was hiking Death Valley and began at the elevation of 300 feet. She hiked down 450 feet. At what elevation did she end her hike
Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?
Step-by-step explanation:
Amount of additive in each can
= Total amount of additive / Number of cans
= (1/2 of a pint) / (3)
= 1/6 of a pint.
Noah put 1/6 of a pint of additive in each can.
At a used bookstore, Cindy bought 2 paperback books for $1.75 and some children's books for $0.75 each,
including tax. She spent a total of $5.75. How many children's books did Cindy buy?
A. 3
B. 4
C. 5
D. 7
Ο Α
B
ос
D
8. Which of the following Mathematical expressions is equivalent to a cubed of a number x increased by
ten" ?
A. 3x + 10
B. 10x3
C. x3 – 10
D. x3 + 10
Answer:
B
Step-by-step explanation:
The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km 1.2km
Answer:
110.4km
Step-by-step explanation:
1 lap is equal to 4.8
4.8×23=110. 4
(Need someone to confirm)
Find the perimeter and area of the semi circle
Answer:
Step-by-step explanation:
Perimeter of a semicircle with diameter d = πd/2 + d
Can you prove these similar triangle step by step?
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.
hopes this helps
Step-by-step explanation:
[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]
Answer:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Step-by-step explanation:
Given
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Required
Simplify
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Rationalize:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]
Expand the numerator
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
açıl hızlı cevap verin lütven
Answer:12
Step-by-step explanation:
1) An item has a regular price of x dollars. It is being sold at a 40% discount. Write two
expressions that could be used to determine the sale price.
Answer:
Step-by-step explanation:
Your answer
Price = x dollar. Discount = 40%
Discount price is 0.4x
Net price = x-0.4x= 0.6x
Mark it as Brainlist answer. Follow me.
I need help ASAP will mark you the brainliest
Answer:
The similarity is they are using tools to help them make the lines, but the differences are they are using different tools to make different lines. While 1 of the tools is similar to the other
Step-by-step explanation:
21 divided by 4,857 with remainder
which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3
Answer:
Option (4) is correct.
Step-by-step explanation:
We need to show that [tex]5^{3/2}[/tex] is equivalent to radical [tex]\sqrt{5^3}[/tex].
We can do it as follows :
[tex]\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}[/tex]
Hence, the correct option is (4).
Answer:
last two options
Step-by-step explanation:
El triple del mayor de tres números pares consecutivos, más 6 es igual al doble del menor. Encuentra el número mayor. Porfaaaa :(
Answer:
-14. Aunque podría estar equivocado. Espero poder ayudar
Step-by-step explanation:
Adigital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{ST>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Snd. As usual, if T denotes the length of each time step, d < erT < u. Find the time zero price of the above option. You may leave your answer as a sum.
Answer:
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
Step-by-step explanation:
The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.
Current value of asset price = Sn after evolvement of asset price in reference to binomial model
Hence at every step value changes to SnU and Snd
where ; d < e^rΔT < u and Δ T = length of each step
u = ups
d = downs
Determine the time zero price of the above option
First we will find the price after each period
After one period :
when the price goes up, Sn + ΔT = Su
when the price goes down, Sn + ΔT = Sd
After period two
For Su
when price goes up, Sn +2ΔT = Su2
when price goes down, Sn +2ΔT = Sud
For Sd
when price goes down, Sn +2ΔT = Sd2
when price goes up, Sn +2ΔT = Sdu
To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is
sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
Whats the y-intercept of the line x + 6y = -18
Answer:
18
Step-by-step explanation:
Answer:
it's −3
Step-by-step explanation:
Write 45.21% as a decimal
Answer:
.4521
Step-by-step explanation:
when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00
Answer:
0.4521
Step-by-step explanation:
Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.
45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:
45.21 ÷ 100 = 0.4521
Shortcut: When you divide anything by 100, just move the decimal point two places to the left.
Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.
(hope this helps can i plz have brainlist :D hehe)
A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?
Answer:
$56.16
Step-by-step explanation:
74.88 times 0.75 =56.16
Answer:
$56.16
Step-by-step explanation:
To find the sale price, multiply the original price by 0.75:
74.88(0.75)
= 56.16
So, the sale price is $56.16
Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?
Answer:
the height of the triangle is 47 inches
whose
The boy ..... dog was hit by a car has not been to school for 3 days,
Step-by-step explanation:
huh what you are trying to say
GUYS I WILL GIVE BRAINLIEST IF U HELP ME PLS
What is the value of |26| - |-4| ?
Answer:
22
Step-by-step explanation:
26=26
-4=4
26-4=22
Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00
Answer:
B.$149.00
Step-by-step explanation:
=$42.00÷3=$14.00
=$14.00×10=$140.00
Im sorry if this not helpfull
Have a nice day
a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice the area of the rectangle. What is the height of the parallelogram
Answer:
12m
Step-by-step explanation:
work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.
The height of the parallelogram is 12 meters.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.
The area of the rectangle is A1 = lw = (8 m)(4.5 m) = 36 m².
The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height.
Since the area of the parallelogram is twice the area of the rectangle, we have:
2A1 = A2
2(36 m²) = 72 m²
So the area of the parallelogram is A2 = 72 m².
We are given that the length of the parallelogram is 6 m, so we can use the formula for the area to solve for the height:
A2 = bh
72 m² = (6 m)h
h = 12 m
Therefore,
The height of the parallelogram is 12 meters.
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a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]
[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]
[tex] V_{box} =l^3 [/tex]
[tex] V_{box} =(10)^3 [/tex]
[tex] V_{box} =1000\: In^3 [/tex]
Percentage of the space in the box occupied by the ball
[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]
[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]
[tex] = \frac{1570}{3000} \times 100 [/tex]
[tex] = \frac{157}{3} [/tex]
[tex] = 52.33\% [/tex]
Solve the answer for n
4/5 = n/3
Answer:
2.4
Step-by-step explanation:
4/5 = n/3
Cross multiple
4*3 = n *5
12= 5n
12/5 = 5n/5
n= 2.4
Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
