Answer: a=6
Step-by-step explanation:
a-(7-a)=5
a-7+a=5
2a-7=5
2a=12
a=6 :)
Answer:
[tex]\Huge \boxed{a=6}[/tex]
Step-by-step explanation:
[tex]a-(7-a)=5[/tex]
We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.
Distribute the negative sign.
[tex]a-7+a=5[/tex]
Combine like terms.
[tex]2a-7=5[/tex]
Add 7 to both sides of the equation.
[tex]2a=12[/tex]
Divide both sides of the equation by 2.
[tex]a=6[/tex]
Dr.Hong prescribed 0.019 liter more medicine then Dr.Tannenbaum. Dr.Evans prescribed 0.02 Less then Dr.Hong. Who prescribe the most medicine? Who Prescribed the lest?
Answer:
Dr. Hong prescribed the most medicine
Dr. Evans prescribed the less medicine
Step-by-step explanation:
Dr. Hong =0.019 liters more than Dr.Tannenbaum
Dr.Evans prescribed 0.02 Less than Dr.Hong.
Let
Dr.Tannenbaum=x liters
Dr. Hong =0.019 + x liters
Dr. Evans= 0.019 + x - 0.02 liters
= x - 0.001 liters
Therefore,
Dr. Hong prescribed the most medicine
Dr. Evans prescribed the less medicine
write 0.18 repeating as a fraction in simplest form.
Answer:
180/1000 or 18/100 0.18
Step-by-step explanation:
The repeating decimal 0.18 to a fraction is 2/11
Converting the repeating decimal to a fraction.From the question, we have the following parameters that can be used in our computation:
Number = 0.18
Express as fraction
So, we have
Number = 18/100
Subtract 1 from the denominator
Number = 18/99
Simplify
Number = 2/11
Hence, the fraction is 2/11
Read more about fraction at
brainly.com/question/31896427
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Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
when x = 8?
Answer:
y = 2Step-by-step explanation:
To find the value of y when x = 8 we must first find the relationship between the two variables.
The statement
y varies directly with variable x is written as
y = kx
where k is the constant of proportionality
when
x = 12
y = 3
Substitute the values into the above formula and solve for k
That's
3 = 12k
Divide both sides by 12
[tex]k = \frac{1}{4} [/tex]
So the formula for the variation is
[tex]y = \frac{1}{4} x[/tex]
when
x = 8
[tex]y = \frac{1}{4} \times 8[/tex]
we have the final answer as
y = 2Hope this helps you
How many different two digit numbers can be formed from the digits, 7,8, and 9 if the numbers must be even and no digit can be repeated?
Answer:
2
Step-by-step explanation:
If the number must be even, the units digit must be 8. That leaves 2 choices for the tens digit. The possible numbers are ...
78
98
There are 2 of them.
Answer: Only two: 78 and 98
Step-by-step explanation: 8 is the only even number available to put in the units place where even or odd is determined. With no repetition allowed, the only possibilities left are to switch positions of the 7 and 9 in the tens place.
how do you rewrite the formula to solve for r?
Answer:
The answer is C.
The steps are :
[tex] {T}^{2} = ( \frac{4 {\pi}^{2} }{GM} ) \times {r}^{3} [/tex]
[tex] {T}^{2} \div ( \frac{4 {\pi}^{2} }{GM}) = {r}^{3} [/tex]
[tex] {T}^{2} \times \frac{GM}{4 {\pi}^{2} } = {r}^{3} [/tex]
[tex] \frac{GM {T}^{2} }{4 {\pi}^{2} } = {r}^{3} [/tex]
[tex] \sqrt[3]{ \frac{GM {T}^{2} }{4 {\pi}^{2} } } = r[/tex]
[tex]r = \sqrt[3]{ \frac{GM {T}^{2} }{4 {\pi}^{2} } } [/tex]
Answer :
C
[tex]r = \sqrt[3]{ \frac{ {T}^{2}GM} {4 {\pi}^{2} } } [/tex]
Step-by-step-explanation :
[tex] {t}^{2} = ( \frac{4 {\pi}^{2} }{gm} ) {r}^{3} \\ {t}^{2} = \frac{4 {\pi}^{2} {r}^{3} }{gm} [/tex]
[tex] {t}^{2} gm = 4 {\pi}^{2} {r}^{3} \\ \frac{ {t}^{2} gm}{4 {\pi}^{2} } = \frac{4 {\pi}^{2} {r}^{3} }{4 {\pi}^{2} } [/tex]
[tex] {r}^{3} = \frac{ {t}^{2} gm}{4 {\pi}^{2} } [/tex]
[tex] \sqrt[3]{ \frac{ {t}^{2} gm}{4 {\pi}^{2} } } = \sqrt[3]{r} [/tex]
[tex]r = \sqrt[3]{ \frac{ {t}^{2} gm}{4 {\pi}^{2} } } [/tex]
Solve for . Simplify your answer as much as possible. please help
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-34=7(x+8)+8x[/tex]
First, distribute the 7 into the (x+8) and simplify:
[tex]-34=7(x)+7(8)+8x\\-34=7x+56+8x[/tex]
Combine the like terms 7x and 8x by adding them together:
[tex]-34=56+15x[/tex]
Subtract 56 from both sides to isolate the x:
[tex]-34-56=15x+56-56\\15x=-90[/tex]
Divide both sides by 15 to get x:
[tex]x=-90/15=-6[/tex]
Plzzz solve question 8 and 9. I will mark as BRAINLIEST FOR correct answers.
Answer:
a) >
b) =
c) =
d ) >
this number 8
9 .A B B C C C D E E F F F G H H I I I J KK L L L M NN OOO P QQ RRR S TT UUU V WW XXX Y ZZZ
THE 45TH LETTER IS W
Given: DC =6x, and DA =4x+18 EB =4y-12, and ED =y+17 Y Find y. Then find ED, DB and EB.
Given:
(1) DC = 6x, and DA = 4x + 18, find the value of x. Then find AD, DC, and AC
(2) EB = 4y - 12, and ED = y + 17. Find y. Then find ED, DB and EB.
Answer:
x = 9, AD = 54, DC = 54, AC = 108
y = 23, ED = 40, DB = 40, EB = 80
Step-by-step explanation:The diagram for this question has been attached to this response.
(1) From the diagram, it can be observed that;
(a) DC and DA have equal lengths. i.e
=> DC = DA ---------------------(i)
(b) AC = DA + DC --------------------(ii)
But;
DC = 6x
DA = 4x + 18
Substitute the values of DC and DA into equation (i) as follows;
6x = 4x + 18 [Solve for x]
6x - 4x = 18
2x = 18
x = 9
Since x = 9, then
DC = 6x = 6(9) = 54
DA = 4x + 18 = 4(9) + 18 = 54
Therefore
DC = 54
AD = DA = 54
AC = 54 + 54 = 108 [using equation (ii)]
(2) Also, from the diagram, it can be observed that;
(a) ED and DB have equal lengths. i.e
=> ED = DB ---------------------(iii)
(b) EB = ED + DB --------------------(iv)
=>EB = ED + ED [since ED = DB]
=>EB = 2ED ------------------(v)
But;
EB = 4y - 12
ED = y + 17
Substitute the values of EB and ED into equation (v) as follows;
4y - 12 = 2(y + 17) [Solve for y]
4y - 12 = 2y + 34
4y - 2y = 34 + 12
2y = 46
y = 46 / 2
y = 23
Since y = 23, then
EB = 4y - 12 = 4(23) - 12 = 80
ED = y + 17 = 23 + 17 = 40
Therefore
EB = 80
ED = DB = 40
Answer:
x = 9, AD = 54, DC = 54, AC = 108
y = 23, ED = 40, DB = 40, EB = 80
Step-by-step explanation:
What is the range of the graph? A) (3, 5) B) [3, 5] C) (2, 5) D) [2, 5]
Answer:
B. [3, 5]
Step-by-step explanation:
The range of a graph are the y-values that are plotted on the vertical axis (y-axis). In order words, the range values, are the possible set of output values of that are plotted on the vertical axis on the graph.
"[ ]" is usually used to denote the possible set of values.
Therefore, the range of the given graph, as we can see from the y-axis, include values from 3 to 5. Therefore, the range of the graph is [3, 5].
A teacher is making a history test composed of the same number of multiple choice questions as short answer questions she estimates it will take students an average of two minutes to complete each multiple-choice questions and an average of 3.5 minutes to complete each short answer questions, n,quality to determine how many questions and the teacher can include if the test must take students less than 45 minutes to complete
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
Given:
The number of multiple choice questions and number of short answer type questions are same.
Let it be equal to [tex]x[/tex].
Average Time taken to attempt multiple choice question = 2 minutes
Total time taken to attempt multiple choice question = 2[tex]\times x[/tex] minutes
Average Time taken to attempt short answer type question = 3.5 minutes
Total Time taken to attempt short answer type question = 3.5[tex]\times x[/tex]
Total time for test should be less than 45 minutes.
Therefore, the equation becomes:
[tex]2x+3.5x<45\\\Rightarrow 5.5x <45\\\Rightarrow x<8.18[/tex]
Hence, the value of [tex]\bold{x=8}[/tex]
Therefore, the answer is:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Answer:
Step-by-step explanation:
2n+3.5n <45
please help me on this
Answer:
(-3,-2)
Step-by-step explanation:
well, you take the difference between the midpoint and given endpoint and add it on in the other direction
S is in between T and U. ST = x + 4 and SU = 2x. TU = 16. Find the value of x.
George had $6,000 in a savings account earning simple interest at a rate of 5% per year. At the end of the year, George paid 25% in taxes on his interest. How much money did George earn in interest that year after paying taxes?
Answer:
$225
Step-by-step explanation:
Given that:
Principal = $6,000
Interest rate = 5%
Time = 1 year
Taxes paid = 25% on the interest earned
To find:
Money earned after paying taxes ?
Solution:
First of all, let us calculate the total interest earned:
Formula for Simple Interest is given as:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where P is the principal
R is the rate of interest
T is the time taken
Putting the given values:
[tex]SI =\dfrac{6000 \times 5\times 1}{100} =\$300[/tex]
Now, it is given that 25% of the interest earned is given as taxes.
Taxes paid = 25% of $300
[tex]\Rightarrow \dfrac{25}{100} \times 300 =\$75[/tex]
Therefore, the money earned = Interest earned - Taxes paid
The money earned = $300 - $75 = $225
Jada wanted to construct a line perpendicular to line L through point C. The diagram shows her construction. What was her mistake?
Answer:
Perpendicular lines are 90 degrees on their central angle.
Step-by-step explanation:
1. Draw the line L with a meter-rule and a pencil.
2. extend the hand of the protractor beyond the radius of the line and bisect the line L, by placing the protractor pin on both ends of the line and marking up and down.
3. Join the points where the markings meet drawing a line through C which is the center of the line L.
solve each system by elimination 7x-4y=-6
-5x+4y=-2
Answer:
(-4, -5.5).
Step-by-step explanation:
7x - 4y = -6
-5x + 4y = -2 Adding these 2 equations:
2x = -8
x = -4
Substituting for x:
7(-4) - 4y = -6
-4y = - 6 + 28 = 22
y = -5.5.
PLZ HELP DUE IN 1 HOUR Do you think the mean would be an appropriate measure of center to describe the data shown in the histogram? Explain your answer.
Answer:
Step-by-step explanation:
the mean would be appropriate measure of center to describe the data shown in the histogram because the data is symmetrical.A symmetric histogram is a distribution in which the 2 halves appear to be the same on both sides.
Barun said says, "The number sqrt49 is an irrational number." Do you agree or disagree? Explain using the definition of rational and irrational numbers.
Here's why:
sqrt(49) = sqrt(7^2) = 7
We can write 7 as a ratio or fraction of two integers 7 = 7/1
This shows that 7 is rational, so that makes sqrt(49) rational as well.
An irrational number is one where we cannot write it as a fraction of two integers. An example of an irrational number would be pi. Another irrational number is sqrt(2).
Note: the denominator can never be zero.
can someone help me
Step-by-step explanation:
k(-5)= 6.(-5)+100
=30 + 100
=70
Answer:
70
Step-by-step explanation:
We can substitue -5 in for x:
k(-5) = 6(-5) + 100 = 70.
Factor the following polynomial completely.
Hello, please consider the following.
[tex]\begin{aligned}1280x^{11}-405x^7&=5x^7(256x^4-81)\\\\&= 5x^7(16^2(x^2)^2-9^2)\\\\&=5x^7(16x^2-9)(16x^2+9)\\\\&=5x^7((4x)^2-3^2)(16x^2+9)\\\\&\large \boxed{=5x^7(4x-3)(4x+3)(16x^2+9)}\end{aligned}[/tex]
So, the last one is the correct answer.
Thank you.
what is the slope for y=3x+6
The formula for slope is y=mx+b.
In this problem m=3; meaning the slope is 3.
Answer:
m = 3
Step-by-step explanation:
y = 3x + 6
Slope formula
y = mx + b
m = 3
Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.
Answer:
[tex]2\frac{8}{15}[/tex]
Step-by-step explanation:
The calculation of average speed in kilometres per hour is shown below:-
As we know that
[tex]Speed = \frac{Distance}{Time}[/tex]
So, the average speed is
[tex]= 3\frac{1}{6} \div 1\frac{1}{4}[/tex]
Now we will convert into a mixed number i.e
[tex]3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}[/tex]
Now the cross cancel common factor is 2
So,
[tex]= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}[/tex]
hence, the average speed is [tex]2\frac{8}{15}[/tex] in kilometers per hour
Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour
Solve the equation below for x. −12(3x−4)=11 A. −1323 B. −813 C. −6 D. 6
-1/2( 3x -4) = 11
Use distributive properties:
-3/2 + 2,= 11
Subtract 2 from both sides:
-3/2x = 9
Divide both sides by -3/2
X = 9/ -3/2
X = -6
The answer is c. -6
Which of the following quadratics is a Perfect Square Trinomial?
Answer:
[tex] 16x^2 + 8x +1[/tex]
Step-by-step explanation:
[tex] 16x^2 + 8x +1 = (4x+1)^2 [/tex]
NEED MATH HELP NOW. I WILL BRAINLIEST
Answer:
see below (I hope this helps!)
Step-by-step explanation:
To find the distance between two points, we can use the formula d = √(x₂ - x₁)² + (y₂ - y₁)² where d = distance and (x₁, y₁), (x₂, y₂) are the points. Therefore:
d = √(-6 - 2)² + (2 - (-6))²
= √(-4)² + (8)²
= √16 + 64
= √80 ≈ 8.944272
Use the distributive property to multiply the polynomials.
-5x²(6x - 1)
Enter the simplified polynomial expression in the box.
Answer:
-30x^3+5x^2
Step-by-step explanation:
If B is the midpoint of AC, AB = x + 6, and AC = 5x - 6, then what is BC?
BC =
HELP PLEASE
Answer:
bc= 12 :)
Step-by-step explanation:
please help me on this geometry
Answer:
x = 30
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
x + 4x + 30 = 180
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Solve for x. A. 24 B. 32 C. 22 D. 35
Answer:
B. 32
Step-by-step explanation:
The product of the lengths of segments to the near and far circle intercepts are the same, where the length is measured from the point where the secant and tangent meet. The tangent point counts as both circle intercepts, so we have ...
30×30 = 18×(18 +x)
900 = 324 +18x . . . . eliminate parentheses
576 = 18x . . . . . . . . . subtract 324; next, divide by 18
32 = x
Solve the equation
(If possible please show work)
Answer:
3 is right answer
Step-by-step explanation:
see in attached picture
hope it helped you:)
8-2b = -2 find the solution to the equation
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5