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Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
37
Step-by-step explanation:
if a = -5 find the value of 3a ²
Answer:
75
Step-by-step explanation:
We just need to plug in -5 for a so the answer is:
3a² = 3 * (-5)² = 3 * 25 = 75
Answer:
75
Step-by-step explanation:
A= (-5)²= 25
3(25)=75
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an equation that could be used to find how many ounces a letter that costs $0.93 weighs. (Let x represent the number of ounces.) A) 0.59 x = 0.93 B) 0.42 x + 0.17 = 0.93 C) 0.59 = 0.93 x D) 0.42 + 0.17 x = 0.93
Answer:
D) 0.42 + 0.17 x = 0.93
Step-by-step explanation:
0.93 - 0.42 = 0.51
0.51 / 0.17 = 3
3 ounces and the answer is D
Answer:
D) 0.42 + 0.17 x = 0.93
Step-by-step explanation:
help plz i want help
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Answer:
1/3
Step-by-step explanation:
3/9, simplify to 1/3
What number should replace the ?
Answer:
94
Step-by-step explanation:
There is a common pattern.
4² = 16
Switch digits 16 ⇒ 61
5² = 25
Switch digits 25 ⇒ 52
6² = 36
Switch digits 36 ⇒ 63
7² = 49
Switch digits 49 ⇒ 94
Which inequality is represented by this graph from a positive 0 to positive 5
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Answer:
(-6,6), (0,12), (4,8)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 2 --> 2(x, y)
Before-> After dilation
2(-3,3) = (-6,6)
2(0,6) = (0,12)
2(2,4) = (4,8)
Please leave a 'thanks' if this helps!
Germany has a population
of 82,217,800. If there are
636,854 births, 827,155
deaths, 684,862
immigrants, and 680,766
emigrants, what is the
population change?
A. 186,205
B. 98,381
C. -186,205
D. -98,381
Answer:
C. -186,205
Step-by-step explanation:
636,854 - 827,155 + 684,862 - 680,766
=> 1,321,716 - 1,507,921
=> -186,205
The population change of the given data set will be as 82,031,595. so the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Germany has a population of 82,217,800. If there are 636,854 births, 827,155 deaths, 684,862 immigrants, and 680,766 emigrants.
WE need to find the population change.
Now, we have to add the births, deaths and subtact 680,766;
82,217,800 + 636,854 - 827,155 + 684,862 - 680,766
= 82,031,595
Therefore, the population change of the given data set will be as 82,031,595.
So the correct option is C.
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Calculate the volume and surface areas of the following
Answer:
(VOLUME) A=24 cubic units B=98 cubic units C=36 cubic units D=64 cubic units
Step-by-step explanation:
To find Volume you multiply length, height and width.
ΔPQR is located at P (−3, −3), Q (0, 0), and R (3, −3). Which statement correctly classifies ΔPQR?
Answer:
Isosceles Triangle
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day. :D
Answer:
ΔPQR is an isosceles triangle.
Step-by-step explanation:
HELP! pleaseeee!!!!!!
Answer:
1,2, and 4.
Step-by-step explanation:
Hi there! I know that i am kind of late, but the answer on Edge 2020 are options 1,2, and 4. I hope this helps, have a great rest of your day :D
From the figure the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.
Given that a right triangle ΔABC is being dilated by a scale factor of 2/3 and reflected over the side AC to form the ΔDEF.
Since we know that in reflection transformations the object are similar so we can conclude that ΔABC ~ ΔDEC.
Also, by the definition of similar triangles,
∠B ≅ ∠E, ∠A ≅ ∠D and ∠ACB ≅ ∠DCE.
Now since the scale factor is 2/3,
so,
2AB = 3DE
2BC = 3CE
2AC = 3DC
Hence the correct options are ΔABC ~ ΔDEC, ∠B ≅ ∠E, 3DE = 2AB.
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Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?
Answer:
3.8%
Step-by-step explanation:
there r 2 black 10
2÷52×100=3.8
Can anyone help please I don’t understand how to do it
2) A builder is tiling a new bathroom and requires 30 tiles which are of
length z and height y. Find an equation that would show the area of the tiled
parts of the bathroom in terms of x and y.
Answer:
A= 30zy
Step-by-step explanation:
Let the area of the tiled parts of the bathroom be A.
A= area of 30 tiles
A= 30( length × height of tiles)
A= 30(z)(y)
A= 30zy
please hurry!
The pie chart shows the number of students signing up for various athletic classes. Which bar diagram shows the percent of students signing up for Track and Field class?
Athletic Class Sign Up
1.) A bar diagram with 2 shaded squares and 8 unshaded squares.
2.) A bar diagram with 3 shaded squares and 7 unshaded squares.
3.) A bar diagram with 4 shaded squares and 6 unshaded squares.
4.) A bar diagram with 8 shaded squares and 10 unshaded squares.
Answer:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
Step-by-step explanation:
There are 100 students (40+15+20+25).
20 signed up for Track and Field.
20 out of 100 would equate to 20/100, or 2/10, or:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
Answer:
a
Step-by-step explanation:
the two squares are shaded and eight are not
Giving Brainly Please Help I Am In A Rush: A 2-column table with 5 rows titled Games Played. Column 1 has entries a percent, a percent, a percent, a percent, b percent. Column 2 has entries c, c, c, c, d. So far this season, a team has won 51 out of 68 games. Identify the values of a, b, c, and d that complete the bar diagram for this situation. a = 10, 25,51,100 b = 25,51,68,100 c = 12.75,14,17,51 d = 30,51,68,100
Answer:
the answer is below
Step-by-step explanation:
a = 25
b = 100
c = 17
d = 68
Answer:
The correct answer is
a= 25
b = 100
c = 17
d = 68
Step-by-step explanation:
Drag the tiles to the correct box?
Answer:
1. (3,-1) and (5,4)
[tex]Distance\ = 5.39[/tex]
2. (2,3) and (4,5)
[tex]Distance\ = 2.83[/tex]
3. (-5,7) and (8,5)
[tex]Distance = 13.15[/tex]
4. (-2,4) and (3,-1)
[tex]Distance = 7.07[/tex]
Step-by-step explanation:
Given
The attached
Required
Calculate the distance between each points;
Distance between points is calculated using;
[tex]d =\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
1. (3,-1) and (5,4)
Here; [tex]x_1 = 3; x_2 = 5; y_1 = -1; y_2 = 4[/tex]
Substitute these values in the formula above
[tex]d =\sqrt{(3 - 5)^2 + (-1 - 4)^2}[/tex]
[tex]d =\sqrt{- 2^2 + (-5^2)}[/tex]
[tex]d =\sqrt{4 + 25}[/tex]
[tex]d =\sqrt{29}[/tex]
[tex]d = 5.39[/tex] (Approximated)
2. (2,3) and (4,5)
Here; [tex]x_1 = 2; x_2 = 4; y_1 = 3; y_2 = 5[/tex]
Substitute these values in the formula above
[tex]d =\sqrt{(2 - 4)^2 + (3 - 5)^2}[/tex]
[tex]d =\sqrt{- 2^2 + (-2^2)}[/tex]
[tex]d =\sqrt{4 + 4}[/tex]
[tex]d =\sqrt{8}[/tex]
[tex]d = 2.83[/tex] (Approximated)
3. (-5,7) and (8,5)
Here; [tex]x_1 = -5; x_2 = 8; y_1 = 7; y_2 = 5[/tex]
Substitute these values in the formula above
[tex]d =\sqrt{(-5 - 8)^2 + (7 - 5)^2}[/tex]
[tex]d =\sqrt{- 13^2 + 2^2}[/tex]
[tex]d =\sqrt{169 + 4}[/tex]
[tex]d =\sqrt{173}[/tex]
[tex]d = 13.15[/tex] (Approximated)
4. (-2,4) and (3,-1)
Here; [tex]x_1 = -2; x_2 = 3; y_1 = 4; y_2 = -1[/tex]
Substitute these values in the formula above
[tex]d =\sqrt{(-2 - 3)^2 + (4 - (-1))^2}[/tex]
[tex]d =\sqrt{- 5^2 + (4+1)^2}[/tex]
[tex]d =\sqrt{- 5^2 + 5^2}[/tex]
[tex]d =\sqrt{25 + 25}[/tex]
[tex]d =\sqrt{50}[/tex]
[tex]d = 7.07[/tex] (Approximated)
Please help !!!The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it. The radius is
yards. Find the volume of the solid in cubic yards, rounded to the nearest ten. Use
for
.
Answer:
1,788
Step-by-step explanation:
You calculate the volume of the cylinder minus the volume of the cube
[tex]volume = (\pi*r^2*height) - (width*lenght*height)\\ volume = (\pi*10^2*6) - (4*4*6) [yards]\\volume = 1,788[/tex]
The volume of solid in cubic yards is 1,788 cubic yards
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The radius of the solid = 10 yards
The height of the solid = 6 yards
The length of the box = 4 yards
The width of the box = 4 yards
Now ,
The volume of the solid = Volume of the cylinder - Volume of box
And ,
The Volume of cylinder = π x r² x h
The Volume of box = length x width x height
So , substituting the values in the equation , we get
Volume of Cylinder = π x r² x h
= ( 22/7 ) x 10 x 10 x 6
= ( 22/7 ) x 600
= 1884.95 yards³
Volume of the box = length x width x height
= 4 x 4 x 6
= 96 yards³
Therefore ,
The volume of the solid = Volume of Cylinder - Volume of the box
The volume of the solid = 1884 yards³ - 96 yards³
= 1788 yards³
Hence , the volume of the solid is 1788 cubic yards
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Plot the points A(-3, 2), B(-5, -4), C(-2, -4) and D(0, 2). What figure do you
get on joining the points in order (plz answer properly plz I beg you guys )
Answer:
It is a trapezium, I guess
Step-by-step explanation:
To know more see the picture attached
Can someone please help me I don’t understand how to do it
10) A rectangular patio measures 3x+4 meters by
2x-1 metres. If the perimeter of the patio measures 96
meters. Find the area of the patio.
This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem
Step 1: Create an equation for the perimeter respect to x
The equation for the perimeter p is:
[tex]p=2w+2l[/tex] where w is the width and l is the length
The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:
[tex]p=2(3x+4)+2(2x-1)[/tex]
[tex]=6x+8+4x-2[/tex]
[tex]=10x+6[/tex]
This is the equation for the perimeter
Step 2: Solve for x since we are given the perimeter
We are given that the perimeter is 96, thus we can create the equation:
[tex]10x+6=96[/tex]
Subtract 6 from both sides
[tex]10x=90[/tex]
Divide both sides by 10
[tex]x=9[/tex]
We have now found the value of x
Step 3: Find the length and width now that we know x
Plug the value of x into the expressions for the length and the width that we are given
[tex]\text{Length}=3x+4=3(9)+4=31[/tex]
[tex]\text{Width}=2x-1=2(9)-1=17[/tex]
Step 4: Solve for the area now that we know the dimensions
This is probably the easiest step. Multiply the length and width to find the area:
[tex]31 \times 17=527[/tex]
The area of the patio is 527.
I've double- and triple-checked that this is the correct answer, so do not worry about any errors.
Let me know if you need any clarifications, thanks!
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Answer:
Padoru Deserves a brainliest
Step-by-step explanation:
So i wrote this answer so she could have one please give them a brainliest
PLEASE HELP!!
Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125
Step-by-step explanation:
5^-2= 1/25 (as when taken up 25 it becomes 5^-2).2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)2^-4=1/16 (as when we take up 16 we get 2^-4)5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)Hope it helps...
Answer:
The picture should be easier to look at :)
Step-by-step explanation:
Just got it right on edge 2020
Plz help me 3(x + 1) = 5 + x
Answer:1
Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .
A box that has a width of 5 inches and a length of 12 inches is used to ship a part. The part lies along the diagonal of the bottom of the box. What is the longest possible length of the part?
Answer:
13 inches
Step-by-step explanation:
Draw a square and draw a diagonal line through it. It creates a right triangle. So we can then use the Pythagoras theorem to find the length of the object at it's max. so we do a^2+b^2=c^2. So we do (12*12) + (5*5) = 169 and the square root of 169 is 13.
which liner inequality represents the graph below?
[tex]y > \frac{2 }{3 } \times + 1[/tex]
[tex]y \geqslant - \frac{2}{3} \times + 1[/tex]
[tex]y \geqslant \frac{2}{3} \times + 1[/tex]
[tex]y > - \frac{2}{3} \times + 1[/tex]
17 points geometry question i need help asap.
need help refer to picture
Answer:
-6x + 54y + 4.83 xy + 9.32
Step-by-step explanation:
line up like terms next to each other:
7x - 13 x + 18y + 36y + 4.83xy + 9.32
solve:
-6x + 54y + 4.83xy + 9.32
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 22 and 15
Answer:
7 < (third side length) < 37
Step-by-step explanation:
Add these two side lengths together. We get 37. Unless the 3rd side is LESS than 37, we cannot form a triangle.
Next, subtract 15 from 22, obtaining 7. The 3rd side has to be GREATER than 7 in order for the sides 7+, 15 and 22 to form a triangle.
7 < (third side length) < 37
Answer:
26.63 ??
Step-by-step explanation:
I think you use pythagorean theorum to solve.
do 22^2 and 15^2 and get 709.1569
sqrt of that is 26.63
Find -8 ÷ -1/2 a. -1/4 b. 16 c. -4 d. 1/16
Answer:
16
Step-by-step explanation:
you would use the reciprocal when changing it from division to multiplication. So, it would be -8x-2 which equals 16.
Anton bought a picnic cooler. His total bill, with tax, was $7.95.
He paid 6 percent sales tax. How much did he pay for the cooler
alone without the tax?
Answer:
$ 7.50
Step-by-step explanation:
The cost of the picnic cooler would be 100%.
With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.
(since 100% +6%= 106%)
106%(picnic cooler)= $7.95
Cost of picnic cooler= 100%(picnic cooler).
Cost of picnic cooler
[tex] = \frac{7.95}{106} \times 100 \\ = 7.50[/tex]
Thus, he paid $7.50 for the cooler alone.
Which of the following expressions are equivalent to 4 - (-5) +0?
Intro
Choose 3 answers:
A: 4- (-5)
B: 4+5
C: 4- (-5+0)
D: (4-5)+0
E: 4- (5-0)
Answer:
A, B, C
Step-by-step explanation:
4 - (-5) + 0
4 - (-5) = 4 + 5 (because a negative + negative = positive)
4 + 5 = 9
a, b and c all equal 9
hopefully this helped you!! :3
What is x 5/9 of x is 90
help assap
Answer:
162Step by step explanation
[tex] \frac{5}{9} x = 90[/tex]
Multiply both sides of equation by 9/5
[tex] \frac{9}{5} \times \frac{5}{9} x = \frac{9}{5} \times 90[/tex]
Reduce the numbers with Greatest common factor 9
[tex] \frac{1}{5} \times 5x = \frac{9}{5} \times 90[/tex]
Reduce the numbers with G.C.F 5
[tex]x = 9 \times 18[/tex]
Multiply the numbers
[tex]x = 162[/tex]
Hope this helps..
Best regards!!
Answer:
1 62
Step-by-step explanation:
Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Question 1
Assign a variable to each of the following płeces of information:
• final balance
• initial investment
• return rate
use the variable to write a formula for the final balance after 2 years
Answer:
1.03x
Step-by-step explanation:
1 year b would be the inital investment added with interest
i believe this is the equation
b = x + r(x)= (1 + r)x
and since it says 3% each year we know its 0.03 (r)
and when you solve it out you get that answer