Answer:
4x+5y=-12
-2x+3y=-16 ×2
-----------------
eliminate x
4x+5y=-12
-4x+6y=-32
---------------+
11y=-44
y=-44/11
y=-4
y=-4 --->
-2x+3(-4)=-16
-2x-12=-16
-2x=-4
x=-4/-2
x=2
Find the slope of the given line please see attached photo thank you
Answer:
2/5
Step-by-step explanation:
Find two integer coordinate sets ( use the two points labelled)
slope = m = (y1-y2)/(x1-x2) =
= ( 1 - -1 ) / (3- - 2) = 2/5
(NOTE: it does not matter which point you choose to be x1,y1 or x2,y2 )
The wholesale price for a shirt is $7.50. A certain department store marks up the wholesale price by 80%. Find the price of the shirt in the
department store.
Round your answer to the nearest cent, as necessary.
Answer:
$13.50.
Step-by-step explanation:
80% = 0.80 as a decimal fraction.
The marked up price
= 7.50 + 0.80 * 7.50
= $13.50.
so the new price will just be 7.5 plus 80% of 7.5
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 7.50}}{\left( \cfrac{80}{100} \right)7.50}\implies 6\hspace{5em}\underset{selling~price}{\stackrel{7.50~~ + ~~6}{13.50}}[/tex]
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
v=50
u=80
Step-by-step explanation:
RT=RS
v=50
u=180-50-50=80
Plss I need help with this
Step-by-step explanation:
Since TRIANGLE BAD is an isosceles traingle you know line BA is equal to line AD
and since C is the given midpoint of line BD you know BC is equal to CD
both triangles share line AC so the third side is also the same
so now you know traingles BAC, and CAD have three sides which all measure the same making ABC equal to ADC
Robert and Casey added the following values shown below. Who solved correctly+
Casey is correct and he will get the correct solution.
We have given that,
ROBERT CASEY
5 1/8+ 2 1/3 = 7 1/2 -4 1/2+ 6 3/4= 2 1/4
Robert's 5 1/8 + 2 1/3 = 7 1/2 is wrong because if 5+2 = 7, I would have to change the denominator of both fractions so they are both the same.
What is the equation?A statement that the values of two mathematical expressions are equal.
The denominator would have to be 24.
That would make the fractions 3/24 and 8/24.
If you added them together, it would not be able to simplify to 1/2.
Casey is correct.
-4 1/2 + 6 3/4 = 2 1/4 is correct
because 4 - 6 = 2.
In order to make the fractions have the same denominator, you would have to multiply -1/2 by 2 on both numerator and denominator which would equal -2/4.
Now add -2/4 and 1/4 and you get 1/4.
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ASAP!!!
Every day, Jorge buys a lottery ticket. Each ticket has a probability of 0.2 of winning a prize. After seven days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.
(a) The probability that Jorge has won at least one prize is ____.
Step-by-step explanation:
the probability to win is 0.2.
the probability to lose is 1-02 = 0.8.
there is no sure win after at least n trials.
on day 1 the probability to win is 0.2.
on day 2 the probability to win at least once is
the probability to have won on day 1 but not on day 2, plus the probability to have won on day 2 but not on day 1 plus the probability to have won on both days :
0.2×0.8 + 0.8×0.2 + 0.2×0.2 = 0.32 + 0.04 = 0.36
...
on day 7 we have
the probability to have won on one day but not on 6 days times the combination of picking 1 day out of 7,
plus the probability to have won on 2 days but not on 5 days times the combinations to pick 2 out of 7,
plus the probability to have won on 3 days but not on 4 days times the combinations to pick 3 out of 7,
...
plus the probability to have won on all 7 days.
that is
0.2.×0.8⁶ × 7 +
+ 0.2²×0.8⁵ × C(7, 2) +
+ 0.2³×0.8⁴ × C(7, 3) +
+ 0.2⁴×0.8³ × C(7, 4) +
+ 0.2⁵×0.8² × C(7, 5) +
+ 0.2⁶×0.8 × 7 +
+ 0.2⁷
but before we lose ourselves in tons of little operations, this is the same as the opposite of having lost on all 7 days.
that is
1 - 0.8⁷ = 1 - 0.2097152 = 0.7902848 ≈ 0.7903
so, the probability that Jorge has won at least one prize is
0.7903
Guys, Can you please help me with these questions
Answer:
a) [tex]w^{13} x^{5} y^{6}[/tex]
b) [tex]\frac{x}{3y^{6} }[/tex]
Step-by-step explanation:
a) [tex](w^{2} xy^{3} )^{2}(w^{3}x )^{3}[/tex]
1. Distribute the second power (2) outside the first pair of parenthesis:
[tex](w^{2(2)} x^{2} y^{3(2)} )[/tex]
= [tex]w^{4} x^{2} y^{6} (w^{3}x )^{3}[/tex]
2. Distribute the third power (3) outside the second pair of parenthesis:
[tex](w^{3(3)} x^{3} )[/tex]
= [tex]w^{4} x^{2} y^{6} w^{9} x^{3}[/tex]
3. Combine like terms:
[tex]w^{13} x^{5} y^{6}[/tex]
--------------------------------------------
b) [tex]\frac{2x^{2} y^{5} }{6xy^{11} }[/tex]
1. Factor the number 6 (= 2 · 3):
[tex]\frac{2x^{2} y^{5} }{2(3)xy^{11} }[/tex]
2. Cancel the common factor (2):
[tex]\frac{x^{2} y^{5} }{3xy^{11} }[/tex]
3. Cancel out [tex]xy^{5}[/tex] in the numerator an denominator:
[tex]\frac{x}{3y^{6} }[/tex]
hope this helps!
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 4 points) 1. What is the value of x? Show all of your work. Answer:
To solve this equation we must find the value of x using the other values provided in the operation.
What is an equation?An equation is a type of mathematical operation that is characterized by expressing an equality between two expressions, each of these expressions involved in an equation are called members and are separated by the equal sign.
On the other hand, equations are characterized by having elements or known and unknown values related by mathematical operations.
According to the above, it can be inferred that we must use an equation to calculate the value of x using the other values provided by the situation.
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At Goodies restaurant the quantity of large pizza sold is 200 at the unit price of $15. suppose the price elasticity of demand for pizza is $1.5, and you would to increase the quantity sold to 250,then the new price must be?
The new price of pizza when the quantity sold is increased to 250 is $12.45.
What is the new price of pizza?Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
Percentage change in quantity demanded = (250 / 200) - 1 = 25%
Percentage change in price = 25% / 1.5 = 16.67%
New price = (0.1667 x 15) - 15 = $12.45
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(x + 7) + (y + 4)2 = 16
Center:
Radius:
Answer:
Center: (-7, -4)
radius = 4
Explanation:
Equation: (x + 7)² + (y + 4)² = 16Circle formula:
(x - h)² + (y - k)² = r²(h, k) denotes the center of the circle, "r is radius"
Rewrite the following equation in standard form:
(x - (-7))² + (y - (-4))² = 4²From this identify:
h = -7, k = -4, radius = 4General equation
(x-h)²+(y-k)²=r²
So
(x+7)²+(y+4)²=16(x+7)²+(y+4)²=4²Center=(-7,-4)
Radius=4
-x^+22+54 help me with this
Answer:
11
Step-by-step explanation:
Evaluate the expression when a=7 and b=-6.
7a-b
Answer:
54
Step-by-step explanation:
7*a-b , a = 7 , b = - 6
7*7 - (-6)
49 + 6 = 54
If its 7 * (a - b)
7*(7 - (-6))
7 * 13
91
[100 POINTS!!] Consider this cone and pyramid, which have the same height, h. Planes parallel to the base cut through each solid at equal heights, as shown.
#Circle 1
π12²144πunits²#Circle 2
6²π36πunits²#Circle 3
3²π9πunits²#Triangle 1
1/2(12π)(24)6π(24)144πunits²#Triangle 2
1/2(6π)(12)36π units²#Triangle 3
1/2(3π)(6)9π units²The area of each cross section of the cone and pyramid is the same which is 2[tex]\pi[/tex].
This is because the cone and pyramid are similar solids, and the cross sections are taken at equal heights.
The similarity of the cone and pyramid can be seen by comparing the triangles formed by the apex, a point on the base, and the intersection of the plane with the solid. These triangles are similar because they have the same angles.
The fact that the cross sections are taken at equal heights means that the triangles are similar in size as well. This means that the areas of the triangles are also the same.
Therefore, the area of each cross section of the cone and pyramid is the same.
[tex]\pi[/tex][tex]h^2[/tex] / (1/2) h*h = 2[tex]\pi[/tex][tex]h^2[/tex] / [tex]h^2[/tex] = 2[tex]\pi[/tex]
The cross sections of the cone and pyramid are both triangles. The triangles are similar because they have the same angles. The fact that the cross sections are taken at equal heights means that the triangles are similar in size as well. This means that the areas of the triangles are also the same. Hence, the answer is 2[tex]\pi[/tex].
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Hugo received $100 dollars for his birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his saving
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
v
The equation would be written as:
y=
X+
<
The x in this equation represents:
The y in this equation represents:
The linear equation for his balance over time is given by:
y = 20x + 100.
The x-intercept is of 20, which is the amount by which the balance increases each week.The y-intercept is of 100, which is the initial balance.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:
y = 20x + 100.
Hence:
The x-intercept is of 20, which is the amount by which the balance increases each week.The y-intercept is of 100, which is the initial balance.More can be learned about linear functions at https://brainly.com/question/24808124
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1 . The ratio of 3 1/3 to 2 1/4 is equal to the ratio of?
Answer:
40 : 27
Step-by-step explanation:
[tex]3\frac{1}{3} : 2\frac{1}{4}[/tex]
Turn into improper fractions:
[tex]\frac{10}{3} : \frac{9}{4}[/tex]
Make them integers by multiplying them by 12:
40 : 27
The ratio of 3 ¹/₃ and 2 ¹/₄ is 40 : 27.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b.
The given numbers are,
3 ¹/₃ and 2 ¹/₄
To find the ratio of the given numbers,
First simplify the numbers,
3 ¹/₃ = 10 / 3
2 ¹/₄ = 9 / 4
Divide 10 / 3 and 9 / 4
= (10 / 3) / (9 / 4)
= (10 x 4) / (9 x 3)
= 40 / 27
= 40 : 27.
The required ratio is 40 : 27.
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How to find surface area of prisms
Answer:
Step-by-step explanation:
The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.
In the diagram, AD = 5, BD = 4, and the area of triangle ACD is 15. Find the area of triangle ABC.
Answer:
√20 =4.47
Area =4.47*4.5
Area =20 unit ^2
Elodia borrowed $30,000 from her aunt to start a delivery business. Her
aunt charged her an annual simple interest rate of 4%. After 7 years,
Elodia repaid her aunt in one payment, with interest. What was the total
amount Elodia paid her aunt?
A $211,200
B $114,000
C $30,001
D $38,400
Answer:
The answer is D she paid 38,400
Step-by-step explanation:
30,000 + 8400 = 38,400
Triangle XYZ is equilateral with vertices located on circle W.
Circle W is shown. Line segments W Y, W Z, and W X are radii. Lines are drawn to connect the points on the circle to form a triangle. Sides Z X, X Y, and Z Y are congruent.
Which measurements are correct? Select two options.
mArc X Y = 60°
mArc Y Z = 120°
mArc Z X = 180°
m∠XWZ = 60°
m∠YWZ = 120°
Based on the inscribed angle theorem, the measurements that are correct are: B. m(arc YZ) = 120°; E. m∠YWZ = 120°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that the measure of an inscribed angle in a circle equals the twice the measure of the intercepted arc or twice the measure of the central angle.
In the circle given, since the triangle is an equilateral triangle, therefore, all its angles each equals 60°. Therefore:
m(XY) = m(YZ) = m(ZX) = 2(60°) = 120°.
The central angles, m∠XWZ = m∠XWY = m∠YWZ = 120°.
Therefore, the correct measurements are: B. m(arc YZ) = 120°; E. m∠YWZ = 120°.
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Answer:
B&E
Step-by-step explanation:
Trust me bruv
The soccer team played 7 games and scored the following number goals in each game: 2, 1, 3, 5, 3, 1, 4. What was the median number of goals the team scored for the seven games? goals
Answer:
3
Step-by-step explanation:
first put them in order
1 1 2 3 3 4 5
then cancel them down go from the front to the back so go like
1 then 5 then 1 again then 4 and etc
u would then end up with the last two numbers which is 3 and 3. if u had numbers like 5 and 7 u would have to find the number in the middle of which would be 6. in the case the two numbers you are left with is 3 and 3 since there both the same the answer would be 3
hope this helped :)
Five runners need to be arranged in 5 lanes for a race so that there is a runner in each lane. How many unique ways are there to arrange the runners in the 5 lanes?
Answer:
25
Step-by-step explanation:
When answer questions about unique combinations, there are usually two ways people go about finding the solutions.
First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.
The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.
So,
5 runners * 5 lanes = 25 possible combinations for each lane and runner
The number of unique ways that the runner can be arranged in 5 lanes for a race is 120.
What are Combinations?Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.
Total number of runners = 5
Total number of lanes = 5
Number of ways that 5 runners can be arranged = 5! = 120
Hence the number of ways is 120.
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Graph a line representing the proportional relationship with slope 3 containing the point (2, 6).
To graph the line, plot two points on the line.
Answer:
(1, 3) and (0, 0)
Step-by-step explanation:
y = mx + b
m is the slope which is 3 (given)
b is the y intercept
(x, y) → (2, 6)
6 = 3(2) + b
6 = 6 + b
b = 0
so the equation is y = 3x
one point:
y = 3(1)
y = 3 when x = 1
(1, 3)
y = 3(0)
y = 0 when x = 0
(0, 0)
Polygon abcde is congruent It polygon tvsrk
Answer: The answer is (A) ∠T.
Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.
In the two polygons, the corresponding vertices are
A ⇒ T
B ⇒ V
C ⇒ S
D ⇒ R
E ⇒ K.
Therefore, ∠EAB, which is ∠A will correspond to ∠T.
Thus, the correct option is (A) ∠T.
Kaitlin brought 21 pounds of sugar for $10 how many dollars did she pay per pound of sugar
PLEASE Find the value of x?
Answer:
Step-by-step explanation:
11 + 5 = big hipo = 16
16 / x = x / 5
x*x = 16*5
x² = 80
x = [tex]\sqrt{80}[/tex] (do this lame calculus)
x = 4[tex]\sqrt{5}[/tex]
y² = (4[tex]\sqrt{5}[/tex])² - 5²
y² = (4[tex]\sqrt{5}[/tex]) * (4[tex]\sqrt{5}[/tex]) - 25
y² = 16 + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] + [tex]\sqrt{25}[/tex] - 25
y² = 16 + 8[tex]\sqrt{5}[/tex] + 5 - 25
y² = 16 + 8[tex]\sqrt{5}[/tex] - 20
y² = - 4 + 8[tex]\sqrt{5}[/tex]...
I give up..
can you answer I need help
A reduction means that the original figure is made smaller.
An englargement means that the original figure is made larger.
The new figure (shown by the ' next to each letter) is smaller than the original. Therefore, the dilation was a reduction.
Hope this helps!
Which of the following describes a simple event?
A. Drawing a three from a deck of cards and rolling 2 on a die
B. Tossing 3 coins and getting tails once
C. Rolling a die and getting a 2
D. Spinning red on a spinner and rolling an odd number on a die
Answer: c
Step-by-step explanation:
C is the only that gave us a single outcome so it’s a simple event
Jenna’s car can travel 15 miles on 300 gallons of gas. How far can it travel on 18 gallons of gas?
Answer:
the answer is 36 gallon
Step-by-step explanation:
how to solve a pair of equations
There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white,
5
8
of the remaining boats are blue, and the rest are red. If there are 6 red boats, how many boats are in the marina?