Answers
Answer:
b = 320
Step-by-step explanation:
a + b = 880
1 - 4/7 = 3/7 (restant A)
1 - 1/4 = 3/4 (restant B)
(3/7) . a = (3/4) . b
a = (7/4) . b
a + b = 880
(7/4) . b + b = 880
7b + 4b = 880 . 4
11 b = 880 . 4
b = 320
Related Questions
What is the image of (-1, 1) after a dilation of 2?
O (1.3)
O (2.2)
O (-22)
Answers
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).
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.
Answers
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.)
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?
Answers
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
Danielle works at a toy store that sells remote control cars. She wants to fit 60 car boxes into a large crate. The car boxes have dimensions of 50 cm × 30 cm × 20 cm. The crate has dimensions of 140 cm × 120 cm × 110 cm. Predict whether all 60 boxes fit in the crate. Show your calculations to support your answer. Explain your thinking.
Answers
??????????????????????????????????????????????
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.
Answers
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]
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
Answers
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.
Answers
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:
The equation of the graphed line in slope-point form using (2,-1) is ___, and it’s equation in slope-intercept form is ___.
Answers
Answer:
[see below]
For "slope-point" form:Slope point (also called "Point-slope") form is: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)\text{ -Coordinate} \\m\text{ -Slope}[/tex]
Finding the Slope:We need to find the slope of the line given.
Slope is: [tex]m=\frac{y2_-y1}{x_2-x_1}[/tex]
We are given the points (2,-1) and (-2,-2).
[tex]m=\frac{-2-(-1)}{-2-2}=\frac{-1}{-4}=\boxed{\frac{1}{4}}[/tex]
The slope of the line is 1/4.
Creating the Point-Slope Equation:Replace 'm' with 1/4 and '(x1, y1)' with (2, -1).
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+1=\frac{1}{4}(x-2)}[/tex]
[tex]\text{The equation of the graphed line in slope-point form using (2,-1) is:}\\y+1=\frac{1}{4}(x-2)[/tex]
Creating the Slope Intercept Form Equation:Slope intercept form is: [tex]y=mx+b[/tex]
We can convert our point slope equation into slope intercept form.
[tex]y+1=1/4(x-2)\\\\y+1=1/4x-0.5 \leftarrow \text{Distribute}\\y+1-1=1/4x-0.5-1 \leftarrow \text{Subtraction Property of Equality}\\\boxed{y=\frac{1}{4}x-1.5}[/tex]
The equation of the line in slope intercept form is: [tex]y=\frac{1}{4}x-1.5[/tex] OR [tex]y=\frac{1}{4}x-\frac{3}{2}[/tex].
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.
Answers
Answer: 270g of butter
225g of flour
300g of sugar
6 eggs
Step-by-step explanation:
Mark the statements that are true.
Answers
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
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
Answers
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
Multiply the polynomials
Answers
Someone answer this :)
Answers
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]
Can somebody help me with this and show work ?? :)
Answers
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)
M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answers
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
A student simplified the rational expression using the steps shown.
Answers
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
Work out m and c for the line
y= x + 3
m=
c=
Answers
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
Caleb bought some snacks at the store that cost a total of $9.38. If Caleb paid with a $20 bill, how much change did he get back?
Answers
Answer:
10.62
Step-by-step explanation:
20- 9.38 = 10.62
I WILL GIVE BRANILEST! PLEASE HELPPPPPP a round flower garden with a radius of 23 metres is surrounded by a pathway of 2 metres wide. Calculate the circumference and area of the outer pathway.
Answers
Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
No Solutions
2x + 9 + 3x + 1 = _x + _
Answers
Answer:5x+10
Step-by-step explanation:
2x+3x+9+1=5x+10
pls answer this thanks
Answers
B= either 0.1 or 0.9 because I don’t know what digit 1 is
C=0.1 or 0.9
Answer:
1) 1/10
2)2/10
3)8/10
Step-by-step explanation:
the numbers 1 and 10 both have 1 in them
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.
Answers
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
Which of the following values are in the range of function graph below? check all that apply
Answers
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:
determine if each polygons are similar, if so, write the similarity statement and the similarity ratio. if not explain why.
Answers
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.
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
Answers
This is a answer of this question.
Can anyone help me on this question? Plese asap
Answers
Is it possible to ride a bike 200 miles in 13 hours
Answers
Answer:
no
Step-by-step explanation:
because even going back to back it would take you about one or two days
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
Answers
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
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
Answers
You distribute 5 to both 3x and 4, giving you 15x+20=23
Then, you subtract 20 from both sides of the equation, giving you 15x = 3
And then you divide both sides by 15 so you can isolate x
y+7=-2(x+3)
intercept form ):
Answers
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.