Answers
Answer:
a = 8/29 thus: Step 1 is wrong!
Step-by-step explanation:
Solve for a:
8 - a/2 = 3 (4 - 5 a)
Hint: | Put the fractions in 8 - a/2 over a common denominator.
Put each term in 8 - a/2 over the common denominator 2: 8 - a/2 = 16/2 - a/2:
16/2 - a/2 = 3 (4 - 5 a)
Hint: | Combine 16/2 - a/2 into a single fraction.
16/2 - a/2 = (16 - a)/2:
(16 - a)/2 = 3 (4 - 5 a)
Hint: | Make (16 - a)/2 = 3 (4 - 5 a) simpler by multiplying both sides by a constant.
Multiply both sides by 2:
(2 (16 - a))/2 = 2×3 (4 - 5 a)
Hint: | Cancel common terms in the numerator and denominator of (2 (16 - a))/2.
(2 (16 - a))/2 = 2/2×(16 - a) = 16 - a:
16 - a = 2×3 (4 - 5 a)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
16 - a = 6 (4 - 5 a)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
16 - a = 24 - 30 a
Hint: | Move terms with a to the left hand side.
Add 30 a to both sides:
30 a - a + 16 = (30 a - 30 a) + 24
Hint: | Look for the difference of two identical terms.
30 a - 30 a = 0:
30 a - a + 16 = 24
Hint: | Group like terms in 30 a - a + 16.
Grouping like terms, 30 a - a + 16 = (-a + 30 a) + 16:
(-a + 30 a) + 16 = 24
Hint: | Combine like terms in 30 a - a.
30 a - a = 29 a:
29 a + 16 = 24
Hint: | Isolate terms with a to the left hand side.
Subtract 16 from both sides:
29 a + (16 - 16) = 24 - 16
Hint: | Look for the difference of two identical terms.
16 - 16 = 0:
29 a = 24 - 16
Hint: | Evaluate 24 - 16.
24 - 16 = 8:
29 a = 8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 29 a = 8 by 29:
(29 a)/29 = 8/29
Hint: | Any nonzero number divided by itself is one.
29/29 = 1:
Answer: a = 8/29
Related Questions
Calculate 12 x 15 by changing the numbers into friendlier numbers as we saw in the videos. Show how you work it out – write out your methods using the number keys on your computer here: Please write your response.
Answers
Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
On a vertical line segment, point A is located at 50. Point B is located at 104. Point P is a point that divides segment AB in a ratio of 1:5 from A to B. Where is point P located?
Answers
Answer:
Step-by-step explanation:
Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;
AO+OB = AB
(-OA)+OB = AB
-50+104 = AB
AB = 54
If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5
AP = 54/6
AP = 9
PB = 54-9
PB = 45
Hence the point P is located at 9 units from A and 45 units from B
12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47. Make a box-and-whisker plot for the data. What is the 5 point summary for this box and whisker plot?
Answers
Answer:
Hence the five point summary is:
i) Minimum = 12
ii) Maximum = 47
iii) Median = 26
iv) First quartile = 15
v) Third quartile = 32
Step-by-step explanation:
The five point summary of a box and whisker plot is the minimum, maximum, median, first quartile and third quartile.
Given the number 12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47.
The median is the middle number = 26
The first quartile is the median of the numbers to the left of the median. Hence the first quartile is the median of 12, 13, 14, 15, 21, 24, 25
First quartile = 15
The third quartile is the median of the numbers to the right of the median. Hence the third quartile is the median of 27, 29, 32, 32, 38, 41, 47.
Third quartile = 32
The minimum is the lowest number = 12
The maximum is the largest number = 47
The box and whisker plot is attached
Hence the five point summary is:
i) Minimum = 12
ii) Maximum = 47
iii) Median = 26
iv) First quartile = 15
v) Third quartile = 32
what is a - 6 = 13 (solve the equation, check your solution)
Answers
Answer:
A=19
Step-by-step explanation:
Add 6 to both sides
Answer:
a = 19
Step-by-step explanation:
a - 6 = 13
+6 +6
a = 19
Checked: 19 - 6 = 13
Find the value of each variable in the parallelogram.
Answers
Answer:
w = 2, z = 7
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
Sorry about the quality of the picture but
Answers
Answer:
52.5 km
Step-by-step explanation:
1cm: 2100000cm
2.5cm: x cm
you get 52.5 km
54:23
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-3-2x+10?
O x = 5
05 = X
-15 = -5x
-5x = 15
Answers
Answer: -5x=15
Step-by-step explanation:
f
The keyword "altogether" refers to what operation?
Answers
Answer:
addition
Step-by-step explanation:
altogether means to put things together or to combine.
addition is taking two or more things and combining them.
Answer:
The keyword "altogether" refers to addition.
Step-by-step explanation:
altogether = the sum of something
If there are 48 boys and 32 girls what are all of the possible ratios
Answers
Answer:
48 to 32 8 to 4 4 to 2 24 to 16
Step-by-step explanation:
What is x2=361 equation for x
Answers
Answer:
x = ± 19
Step-by-step explanation:
x² = 361
x = ±√361
x = ± 19
write a word problem for this equation $2 x n = $18
Answers
Answer:
If You have $18, how many $2 items can you purchase?
Once a hot-air balloon reached its highest point, it dropped 25 feet. Then five minutes later, it dropped another 13 feet. Find its total change in altitude during this time.
Answers
Answer:
The total change of altitude should be, -38ft.
Step-by-step explanation:
1) ¿CUÁLES DE ESTAS OPERACIONES SE PUEDEN EXPRESAR COMO POTENCIAS? ¿POR QUÉ? a) 4 x 4 x 4 x 4 b) (-3) +(-3) + (-3) c) 7 + 7 + 7 d) 7 x 7 x 7 e) (-2) x (-2)
Answers
Answer:
4 × 4 × 4 × 4 7×7×7(-2)×(-2)Step-by-step explanation:
solo las expresiones con signos de multiplicación pueden expresarse como potencias
[tex]4\times 4\times4\times4 = 4^4\\\\7\times7\times7 =7^3\\\\(-2)\times(-2) = (-2)^2[/tex]
What might cause a theory to change over time
Answers
Answer:
Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did and more. The process of theory change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.
The discovery of new evidence because it's the only one that would give proof and science relies on proof.
What might cause a theory to change over the time?Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did.
The process of theories change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.
The discovery of new evidence because it's the only one that would give proof and science relies on proof.
Learn more about the theories here, please visit the link below;
https://brainly.com/question/17449725
#SPJ2
x-8/2=4 please help me asap this assignment is due in and hour! and please teach me how to do it! 10 points!!
Answers
Answer:
x = 8
Step-by-step explanation:
x - 8/2 = 4
Follow your order of operations and divide first.
8/2 is 4
x- 4 = 4
Next, isolate the variable by using the additive property of equality.
x - 4 + 4 = 4 + 4
x = 8
Answer:
ok so u do the opposite of 8/2 so do 8*2 which is 16 then add the answer which is 4 which equals 20 so 20- 8/2=4, 20-16=4
In ΔQRS, the measure of ∠S=90°, QR = 8.2 feet, and SQ = 4.2 feet. Find the measure of ∠R to the nearest degree.
Answers
Answer:
R=30.81≈31
Step-by-step explanation:
Answer:
R=30.8
Step-by-step explanation:
The answer you'd get on the calculator when simplisfied is 30.81, and when that answer is rounded to the nearest tenth, it'd equal 30.8 and not 31
7 19/50 as a decimal
Answers
Answer:
Here you go:)
Step-by-step explanation:
7.38
What is a fraction grader than 33% and less than 1/2
Answers
Answer: 45% or 9/20
Step-by-step explanation:
50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.
6x + 3 (2x) - 7 - 2³ Please include th steps to solving it.
Answers
Answer:
24x-15
Step-by-step explanation:
Let's do this together with a step-by-step explanation!
First we need to make sure we remember that there are appropriate ways on how to solve these. LIKE PEMDAS.
6x + 3 (2x) - 7 - 2³
Let's multiply the 3 and 2x together.
6x + 6x - 7 - 2³
Now let's do the exponent
6x + 6x - 7 - 8
Now let's add everything together! But remember only common variables can be added together.
24x - 15 is the answer.
You can no longer break anything down.
I really hope this helped you!
Answer:
12x - 15
Step-by-step explanation:
so you would have to do the order of operations. so your exponent would be first. so 2×2×2=8.
6x + 3 (2x) -7 + 8
Now you can look at your parentacese which is (2x) so you need to do 3(2x) which gets you 6x.
6x + 6x -7 + 8
So you need to combine like terms.
so starting with the x
6x + 6x = 12x
Now your equation looks like this
12x + -7 +8
now you need to add like terms. (numbers)
-7 -8
so your answer is
12x -15
Use long to divide 34298 by 26 then select the true statement the quotient has a remainder of 4 the quotient has a remainder of 14 the quotient has a no remainder, the quotient has a remainder of 12
Answers
Answer:
the quotient has a remainder of 4
Step-by-step explanation:
The computation of the long division is shown below:
1 3 1 9
--------------------------------
26 34298
26
-------------------------------------(deduct)
82
78
--------------------------------------(deduct)
49
26
------------------------------(deduct)
238
234
--------------------------
4
hence, the first option is correct
A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps
Answers
Answer:
[tex]Area = \frac{3}{4} cm^2[/tex]
Step-by-step explanation:
Given
[tex]Length =\frac{1}{2}\ cm[/tex]
[tex]Width = 1\frac{1}{2}\ cm[/tex]
Required
Determine the Area
Area is calculated as follows
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]
Convert mixed fraction
[tex]Area = \frac{1}{2} * \frac{3}{2}[/tex]
[tex]Area = \frac{3}{4}[/tex]
Hence, the area is
[tex]Area = \frac{3}{4} cm^2[/tex]
Find the length of the arc
A.8 pie ft
B.32 pie ft
C.64 pie ft
D. 361 pie/ 12 ft
Answers
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
The length of the arc is exactly 8π feet long.
To find the length of the arc.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.
Given that:
Ф=90°
r=16 feet
The perimeter around the circle is known as the circumference.
The circumference of a circle with radius r is
C = 2*π*r
C = 2*π*16
C = 2*16*π
C = 32π
But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.
=(1/4)*32π
= (1/4*32)π
= 8π
Therefore, the length of the arc is exactly 8π feet long.
Learn more about circle here:
https://brainly.com/question/17377122
#SPJ5
write a pair of equal angles which are supplementary
Answers
Step-by-step explanation:
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An _____________is an approximate number or answer
Answers
Answer:
≈ or estimate
Step-by-step explanation:
Answer:
average
Step-by-step explanation:
In the triangle below, find the measurements of the unknown angles.
2a
75
O °
A. 75°, 1050
OB. 40°, 80°
Oc.
C. 50, 10°
OD. 25°, 50°
O E
E. 35º, 70°
Answers
Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in a to find last angle
2(35) = 70°
Answer:
E. 35°, 70°
Step-by-step explanation:
Given that 4 x − 5 y = 12 Find y when x = − 3
Answers
Answer:
When x = -3.
4(-3)-5y=12.
-12-5y=12.
-5y=12+12.
-5y=24.
y= -4.8
Solve linear equation
- 0.75p - 2 =0.25p
Answers
Answer: p = -2
Step-by-step explanation:
- 0.75p - 2 =0.25p add .75p on both sides
-2 = p That's the same thing at p = -2
Answer:
p = -2
Step-by-step explanation:
-0.75p - 2 = 0.25p Subtract 0.25p from both sides
-1p - 2 = 0 Add 2 to both sides
-1p = 2 Divide by -1 on both sides
p = -2
can someone show me the answer + how they got there? (x+4)(x-1)
Answers
Answer:
x^2+3x-4
Step-by-step explanation:
x * x - x + 4x - 4
x^2 - x + 4x - 4
x^2 + 3x - 4
=============================================
Explanation:
You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.
Let y = x+4
This means we replace (x+4) with y to get y(x-1)
Distribute the y term through to get yx-y which can be written as x(y) - 1(y)
After this, replace y with x+4 getting x(x+4)-1(x+4)
Distribute a second time and simplify like so
x(x+4)-1(x+4)
x^2+4x-1x-4
x^2+3x-4
(9b−1)(9b+1) Me pueden ayudarme con esta otra pregunta Please.
Answers
Answer:
Using identify (a+b)(a-b) =a²-b²
Ur answer is (9b-1)(9b+1) =81b²-1
What is the image point of (6,1) after a translation left 5 units and down 1 unit?
Answers
Answer:
(1, 0 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the x- coordinate
A translation of 1 unit down means subtract 1 from the y- coordinate, thus
(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )