Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
z+x*y
Start by plugging the corresponding values in.
2 4/5 + 3/5*1/3
Multiply first. (Order of operations)
Note: When multiplying fractions, simply multiply the denominators together, and then the numerators together.
2 4/5 + 3/15
Simplify.
(I divided 3/15 by 3/3, which just equals 1.)
2 4/5 + 1/5
Add.
2 5/5
Simplify
3
y+7=-2(x+3)
intercept form ):
Answer:
y = -2x - 13
Step-by-step explanation:
Answer:
y = - 2x - 13
Step-by-step explanation:
First, distribute out the two on the right side of the equation.
y + 7 = - 2x - 6
Next, subtract 7 from both sides to isolate the y variable on the left side.
y = - 2x - 13
That is your answer in slop-intercept form.
determine if each polygons are similar, if so, write the similarity statement and the similarity ratio. if not explain why.
Answer:
They are not similar
Step-by-step Explanation:
For two polygons to be considered similar, two conditions must be met:
1. The ratio of their corresponding sides must be equal, and must have the same scale factor.
2. Their corresponding angles must be the same. That is, the corresponding angles must be congruent.
Now let us examine the two polygons ( ∆AYP and ∆BOX) given to ascertain if they are similar.
First, we can observe that only two of their corresponding sides were given. The third corresponding side, "YP/OX" is not given. This makes it difficult for us to tell if the polygons are similar, if we are to base our conclusion on merely considering the ratio of their corresponding sides.
Although, the two given corresponding sides (AY/BO & AP/BX), both have equal ratio ⅖, i.e. AY/BO = AP/BX = ⅖. This is not enough to tell both polygons are similar, as we cannot tell if the third corresponding side would give us same ratio, since it wasn't given in the diagram.
==>Next is to examine the interior angles of the polygons, whether the measure of their corresponding angles are the same.
Thus, from the diagram, we can see that two angles of the each triangle were given. We can find the measure of the third angle not given since we know that sum of the interior angles of a triangle = 180°
Thus, <P in ∆AYP = 180 - (90+20) = 180 - 110
<P = 70°
Thus, <B in ∆BOX = 180 - (90+80) = 180 - 170
<B = 10°
From the above calculation, comparing both polygons having known the measures of their corresponding angles, we can conclude that both polygons given in the question are not similar.
This is because the measure of their corresponding angles are not congruent.
<A is not congruent to <B, so likewise with <P and <X.
Can anyone help me on this question? Plese asap
A student simplified the rational expression using the steps shown.
Answer:
No, the answer is not correct
Step-by-step explanation:
In the second step, the student didn’t use the quotient of powers property correctly. They should have subtracted inside the parentheses instead of dividing. This would have left them with x^(4/5). They should have then multiplied this power by ^(1/2) resulting in x^(4/10) which simplified is x^(2/5) which is the correct answer.
The resulting answer that the student got was wrong this was due to the wrong miscalculation when applying the division rule according to the law of indices. The difference between 6/5 and 2/5 is not 3 but 4/5
The expression simplified by the student is an indicinal expression
Indices are mathematical expressions that show the number of times a number or variable is being multiplied by itself.
According to the law of indices
[tex]a^m \times a^n=a^{m+n}[/tex][tex]\frac{a^m}{a^n}=a^{m-n[/tex]where a, and n are integers or fractions
Given the expression simplified by the student expressed as:
[tex](\dfrac{x^\frac{2}{5} \times x^\frac{4}{5} }{x^{\frac{2}{5} }})^\frac{1}{2}[/tex]
Using the laws above:
[tex]=(\dfrac{x^{\frac{2}{5}+\frac{4}{5} } }{x^{\frac{2}{5} }} )^\frac{1}{2} \\=(\dfrac{x^\frac{6}{5} }{x^\frac{2}{5} })^\frac{1}{2} \\[/tex]
Based on the law of division,
[tex]=(x^{\frac{6}{5}-\frac{2}{5} })^\frac{1}{2} \\=(x^{\frac{6-2}{5} })^\frac{1}{2} \\=(x^\frac{4}{5})^\frac{1}{2} \\=x^{\frac{2}{5} }[/tex]
Hence the resulting answer that the student got was wrong this was due to the wrong miscalculation when applying the division rule according to the law of indices. The difference between 6/5 and 2/5 is not 3 but 4/5.
Learn more about indices here: https://brainly.com/question/24160371
The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles? \((\pi^2-4):\pi^2\) a \(\pi^2:(\pi^2-4)\) b \(\pi:(4-\pi)\) c \((4-\pi):\pi\) d
Answer:
B, π:(4-π).
Step By Step:
With a side of length 12, we have an area of 144. The circle's radius is 3, so their area is 9π, per circle. All four circles have a total combined area of 36π - green. The area that is left of the square after the circles are painted green is 144-36π - White
So, the ratio of Green:White is (36π) : (144-36π), which simplifies to π:(4-π), B
Find the area of each figure to determine the area of the composite figure. The area of the rectangle is 44 m2. The area of the circle is about m2. the area of the circle by 2 to find the area of the semicircle. To find the area of the composite figure, the area of the rectangle and the area of the semicircle.
Answer:
The area of the circle is 12.6 m2
DIVIDE the area of the circle by 2 to find area of the semicircle.
To find the area of the composite figure, ADD the area of the rectangle and the area of the semicircle.
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
Answer:
12.6
Divide
Add
Step-by-step explanation:
Tyler just lit a new candle and then let it burn all the way down to nothing. The initial length of the candle was 15 inches and the candle burned at a rate of 1.25 inches per hour. Write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.
Answer:
15 in - (1.25 in/hr)t
Step-by-step explanation:
L(t) is a function of time, t: L(t) = 15 in - (1.25 in/hr)t
Note that when the candle has burned down to nothing, L(t) = 0. How long does that take? Set 15 in - (1.25 in/hr)t equal to zero and solve for t:
(1.25 in/hr)t = 15 in, or
15 in
t = ---------------- = 12 hrs
1.25 in/hr
Can somebody help me with this and show work ?? :)
Answer: D’ (3, -6), E’ (4, -2), F’ (5, -5)
Step-by-step explanation:
If it’s reflected across the x-axis, the y coordinates become negative. Then move each coordinate 2 units to the right.
(x, y) — (x + 2, -y)
D (1, 6) — D’ (3, -6)
E (2, 2) — E’ (4, -2)
F (3, 5) — F’ (5, -5)
I really need help asap please :( anyone know the answer ?
Answer:
see below
Step-by-step explanation:
x = kendalls money
98 = 7x
Divide each side by 7
98/7 = 7x/7
14=x
Kendall had 14 dollars
Answer:
D
Step-by-step explanation:
94 divided by 7 = 14 also
7x (x is 14) = 94
A salesperson is. On 50/50 split with an agency and sells a 300 acare farm at 1200 per acre. The commission schedule calls for %5 on the first $200000 3 1/2% on the next $50000 and 2% on the balance the realty company must pay the list agent %10 of the gross commission. The net amount the salesperson will receive is:
Answer: $49,950
Step-by-step explanation:
Given Data:
Land sold = 300acre
Cost of land = $1200/acre
Commission schedule = 5% on first $200,000, 3.5% on next $50,000 and 2% on the balance.
10% gross commission must be paid to the agent.
Therefore
1. Total amount generated by the agent
= Cost/acre * acre sold
= $1200 * 300
= $360,000
10% gross commission receivable by the agent
= 0.1 * $360,000
= $36,000
5% receivable for first $200,000
= 0.05 * $200,000
= $10,000
3.5% receivable on next $50,000
= 0.035 * $50,000
= $1,750
2% receivable on remaining balance
= 0.02 * $110,000
= $2,200
Net amount receivable by the salesperson
= $36,000 + $10,000 + $1,750 +$2,200
= $49,950
A room is 6 m long, 4.5 m wide and 3 m high. It has no window
or door. It only has 4 walls. Find the cost of painting the 4 walls at
$8.50 per m2
This is a answer of this question.
Here is a list of what you need to make 20 buns:
180g of butter, 150g of flour, 200g of sugar and 4 eggs. Work out what you need to make 30 buns.
Answer: 270g of butter
225g of flour
300g of sugar
6 eggs
Step-by-step explanation:
Here are the scores of 12 students on an algebra test.
63,65,67,67,77,80,87,87,89,90,92
Notice that the scores are ordered from least to greatest.
Give the five number summary and the interquartile range for the data set.
Five number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Answer:
Minimum: 63
Lower quartile: 67
Median: 80
Upper quartile: 89
Maximum: 92
I hope this helped!
z is equal to ____ units. Side RS measures _____ units long
Answer:
the answer is
z is equal to 12 units. Side RS measures 9 units longs
Step-by-step explanation:
Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in incUse the segment to complete the statements.Hes.
Answer:
x = 5, AB = 5 inches, BC = 15 inches
Step-by-step explanation:
The segment addition postulate states that for line AC having point B between point A and point C, the distances between the point satisfy the equation:
AB + BC = AC
Given that AB = x and BC = 3x, also AC = 20 inches
AB + BC = AC
x + 3x = 20
4x = 20
Dividing through by 4:
4x/4 = 20/4
x = 5
Therefore AB = x = 5 inches, BC = 3x = 3 * 5 = 15 inches
Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanation please and thank you so much
Answer:
An apple costs £0.25
A banana costs £0.34
Step-by-step explanation:
Let a be apples and b be bananas.
10a+5b=4.2
8a+10b=5.4
Solve for a:
10a+5b=4.2
Subtract 5b from both sides
10a=4.2-5b
Subtract 4.2 from both sides
10a-4.2= -5b
Multiply both sides by -1
-10a+4.2=5b
8a+10b=5.4
Subtract 10b from both sides
8a=5.4-10b
Subtract 5.4 from both sides
8a-5.4= -10b
Multiply both sides by -1
-8a+5.4= 10b
Divide both sides by 2
-4a+2.7=5b
Combine equations:
-4a+2.7= -10a+4.2
Add 10a to both sides
6a+2.7=4.2
Subtract 2.7 from both sides
6a=1.5
Divide both sides by 6
a=0.25
An apple costs £0.25
Solve for b:
10a+5b=4.2
Subtract 10a from both sides
5b= -10a+4.2
Subtract 4.2 from both sides
5b-4.2= -10a
Multiply both sides by -1
-5b+4.2=10a
8a+10b=5.4
Subtract 8a from both sides
10b= -8a+5.4
Subtract 5.4 from both sides
10b-5.4= -8a
Divide both sides by 4
2.5b-1.35= -2a
Multiply both sides by 5
12.5b-6.75= -10a
Multiply both sides by -1
-12.5b+6.75=10a
Combine equations:
-12.5b+6.75= -5b+4.2
Add 12.5b to both sides
6.75=7.5b+4.2
Subtract 4.2 from both sides
2.55=7.5b
7.5b=2.55
Divide both sides by 7.5
b=0.34
A banana costs £0.34
If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.
10a+5b=4.2
8a+10b=5.4
a=0.25
b=0.34
What is the value of x in the equation 5(3x + 4) = 23?
A)43/15
B)3/15
C)15/43
D)2/5
1) Evaluate [(1/3)-3 X (1/2)-3 ] ÷ ( ¼)-3
2) If (7-3)2 x 7x+4 = 77, find the value of x.
Answer :
(1) [tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})=3.375[/tex]
(2) [tex]x=\frac{45}{56}[/tex]
Step-by-step explanation :
Part 1:
The given expression is:
[tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})[/tex]
[tex]=[(\frac{1}{(\frac{1}{3})^3})\times (\frac{1}{(\frac{1}{2})^3})]\div (\frac{1}{(\frac{1}{4})^3})[/tex]
[tex]=[27\times 8]\div (64)[/tex]
[tex]=[216]\div (64)[/tex]
[tex]=\frac{27}{8}[/tex]
[tex]=3.375[/tex]
Part 2:
The given expression is:
[tex](7-3)2\times (7x+4)=77[/tex]
[tex](4)2\times (7x+4)=77[/tex]
[tex]8\times (7x+4)=77[/tex]
[tex]56x+32=77[/tex]
[tex]56x=77-32[/tex]
[tex]56x=45[/tex]
[tex]x=\frac{45}{56}[/tex]
Thus, the value of x is [tex]\frac{45}{56}[/tex]
Work out m and c for the line
y= x + 3
m=
c=
Answer:
1
3
Step-by-step explanation:
The equation of a graph is normally written in form Mx+c.
So, here there is x+3.
Thus, m = 1
C = 3
Hope this helps
Jim goes to the store and buys 3 sodas for $1.29 each and a bag of chips for 1.59. What is Jim's subtotal?
Answer:
$5.46
Step-by-step explanation:
Total = 3*1.29 + 1.59
= 5.46
Answer:
2.88
Step-by-step explanation:
that is total amount
College students borrowed $6000 for 2 years at a simple interest of 12%. How much would they owe at the end of 2 years?
Answer:
Principal amount (P) = $6000
Rate (R) = 12%
Time = 2 years
Simple interest, I = P X R X T / 100
= 6000 X 12 X 2 / 100
= 144000 / 100
= 1440
=> Simple interest, I = $1440
Amount they would owe at the end of 2 years,
= P + I
= 6000 + 1440
= $7440
Someone answer this :)
Answer:
x=29.9 degrees
Step-by-step explanation:
Sides we are given: x and side length of 92.
Angle we are given: angle of measure 18.
Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent.
Tangent 18= x/92
Tangent 18 (92)=x
x=29.9 degrees
Answer:
29.9 to one decimal place
Step-by-step explanation:
To work out X you can find the missing angle by doing;
[tex]180 - (90 + 18) = 72[/tex]
Then use Sine rule to work out X;
[tex]x = \frac{92}{ \sin(72)} \times \sin(18) \\ x = 29.89261.....[/tex]
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it take you to drive to Indianapolis if you are traveling at 72 mi/h (1 mile\approx≈1.61 km). Round your answer to the nearest hundredth.
Answer:
Time t = 3.02 hours
Step-by-step explanation:
Given;
Distance d = 350 km
Speed v = 72 mi/h
Since 1 mile ≈ 1.61 km
Converting the speed to km/h
Speed v = 72 mi/h × 1.61km /mi
Speed v = 115.92 km/h
Speed = distance/time
Time t = distance/speed = d/v
Substituting the values;
Time t = 350 km/115.92 km/h
Time t = 3.019 hours
Time t = 3.02 hours (to the nearest hundredth.)
Work out (4×10to the power of6) ×(2×10to the power of7) Give your answer in standard form.
Answer:
80,000,000,000,000 or 80 billion
Step-by-step explanation:
10 to the power of 6 is 1000000
1000000x 4 is 4000000
4000000 X 2 x 10 to the power of 7
4000000x (2 x10000000)
4000000 x 20000000
Is 8e+13
the number is 80,000,000,000,000
Please help i will mark brainliest for anyone who can help me 15 points on the line
A:a^5 divided by a^2
B:C^4 divided by c^3
Answer: A_a^3
B_c^1
Step-by-step explanation:they work like integers therefore vlby sharing the same base and Having the division sign u just subtract the powers
I need help with this assignment.
Answer:
x=3
z=112
Step-by-step explanation:
9x-27 needs to be solved for x.
Set the equation equal to zero.
9x-27=0
Now add 27 to both sides.
9x=27
Divide both sides by 9
x=3
Plug 3 into 5x+53 to find the angle.
5(3)+53=15+53=68.
Since 5x+53 and Z are on the same line, that means, when added together, they equal 180 degrees. Subtract 68 from 180.
z=112
Mark the statements that are true.
Answer:
Hi there!
The correct choices are: A, B, C
Step-by-step explanation:
π in radians equals to 180°
A is correct because 180/3 = 60
C is correct because 180/4 = 45
The measure angles π and π/4 is true
What is Radian and degree?Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.
Degree Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians
According to the question
To convert radians to degrees, multiply by 180/p,
like this: degrees = radians x (180 / π )
To convert degrees to radians,
multiply by p/180, like this
radians = degrees x ( π/180)
(A)
This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False
(B)
An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True
(C)
An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True
(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False
hence, measure angles π and π/4 is true, therefore option B and C are true
To learn more about radian and degree from here https://brainly.in/question/3390676
#SPJ2
No Solutions
2x + 9 + 3x + 1 = _x + _
Answer:5x+10
Step-by-step explanation:
2x+3x+9+1=5x+10
Which of the following values are in the range of function graph below? check all that apply
Answer:
B: -2
C: 0
D: -1
Step-by-step explanation:
We are looking at only the range in this problem. That means we are looking for y-values that are associated with this graph. Since the graph only includes negative values, you can rule out A, E, and F because they are positive. The answer choices you have left are the correct choices.
Answer:
-1
-2
-5
0
Step-by-step explanation:
What is the image of (-1, 1) after a dilation of 2?
O (1.3)
O (2.2)
O (-22)
Answer:
(-2, 2)
Step-by-step explanation:
When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.
Therefore, the coordinates will become (-2, 2).