Answers
[tex]\sqrt{3x+10}=\sqrt{2x+3}\\\\\\\dfrac{\sqrt{3x+10}}{\sqrt{2x+3}}=1\\\\\\\sqrt{\dfrac{3x+10}{2x+3}}=1\\\\\\\dfrac{3x+10}{2x+3}=1\\\\\\3x+10 =2x+3\\\\x = -7[/tex]
Answer:
x=-7
Step-by-step explanation:
first simplify your equation to:
3x+10=2x+3
combine like terms
3x-2x=3-10
solve for x
x=-7
Related Questions
Can I please get help with this?
Answers
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
These are the times for 200 people to get to work. A 10% sample, stratified by time, is taken. Complete the table.
Answers
Answer:
look at the atachment below! :)
Step-by-step explanation:
The entries that complete the table are 1, 2, 8, 6 and 3
How to complete the table?To do this, we multiply the number of people by the proportion of sample i.e. 10%.
The product is then approximated to the nearest unit
So, we have:
7 => 7 * 10% ≈ 1
22 => 22 * 10% ≈ 2
77 => 77 * 10% ≈ 8
63 => 63 * 10% ≈ 6
31 => 31 * 10% ≈ 3
Hence, the entries that complete the table are 1, 2, 8, 6 and 3
Read more about sampling at:
https://brainly.com/question/15713806
How many cubes are needed to build this figure?
Answers
Answer:
6
Step-by-step explanation:
the box has 2 x 3 x 1
so if we use cube 1 x 1 x 1
we need 6 cubes
Answer:6
Step-by-step explanation:
I counted the top
Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same number she originally thought of. What was Amrita's number?
Answers
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
Amrita's number was 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
We can write an expression from the given statement.
{ (2x + 9) ÷ 3 } - 1 = x
Solve for x.
{ (2x + 9) ÷ 3 } - 1 = x
(2x + 9)/3 - 1 = x
2x + 9 - 3 = 3x
Add 3 on both sides.
2x + 9 = 3x + 3
Subtract 9 on both sides.
2x = 3x + 3 - 9
2x = 3x - 6
6 = 3x - 2x
x = 6
We can cross-check.
{(2 x 6 + 9) ÷ 3} - 1 = 6
{(12 + 9) ÷ 3} - 1 = 6
7 - 1 = 6
6 = 6
Thus,
The number was 6.
Learn more about expressions here:
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Josie is a travel agent who loves to analyze data about the vacation destinations she books for her clients. She believes that the
more she knows about a destination, the better she can educate and prepare her clients to get the most enjoyment out of
their trips. She's recently been investigating the climate of Paradise Island, where one of her biggest clients, Jack, is planning to
visit. Her research of the temperature history of Paradise Island is vital to Jack's travel plans, as he has an ideal temperature
that he prefers for vacationing. In this task, you'll use technology and regression techniques to help Josie plan Jack's ideal
vacation to Paradise Island.
Part A
Josie has collected data that shows the average daily high temperature for several months over the last year. In her table
of data, month 1 can be interpreted as January, month 2 as February, and so on.
Month, x
Average Daily High Temperature, y
(°F)
50
56
1
2
3
67
5
84
6
89
7
98
92
84
9
10
12
58
button to insert a screenshot of your scatter plot in the
Answers
Answer:
The scatter plot for the data is attached below.
Step-by-step explanation:
The data collected by Joise for the average daily high temperature for several months over the last year is as follows:
Month X Average Daily High Temperature, Y (°F)
January 1 50
February 2 56
March 3 67
May 5 84
June 6 89
July 7 98
September 9 92
October 10 84
December 12 58
The scatter plot for the data is attached below.
Quiana’s initial loan amount is -$15,234.68. This is the total amount of money she must pay back to the lender. Part B What is the sign of the rational number you wrote in part A for Quiana’s loan? What does the sign represent?
Answers
Answer:
Minus sign & it represents that the money is a debt
Step-by-step explanation:
Quiana took a loan of $15,234.68. This is also the same amount of money that Quiana wil return to the lender.
A minus sign (-) was inserted before the amount of money that Quiana borrowed. It represents that the money is a debt that Quiana owes and she will have to return (pay back) to the lender.
A reaction occurs when solid X is placed into solution Y. As a result, the temperature of the new solution increases by 3°C. The
temperature rises another 2°C when more of solid X is added to the solution. What does this indicate about the effect of
adding more solid?
It increased the number of molecular collisions.
It decreased the number of molecular collisions,
It decreased the space between the molecules and lowered the reaction rate.
It increased the space between the molecules and increased the reaction rate.
Answers
Answer:
A. It increased the number of molecular collisions.
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answers
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
Need help ASAP, thanks
Answers
Answer:
1364
Step-by-step explanation:
use the calculator
A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the rectangle?
Answers
Answer:
The width is 5/2 = 2.5 cm
The length is 9/2 = 4.5cm
Step-by-step explanation:
The length is 2 longer than the width
l = w+2
The perimeter is 14
P =2 ( l+w)
14 = 2 (l+w)
Replace l with w+2
14 = 2 ( w+2+w)
14 =2 (2w+2)
Divide each side by 2
14/2 = 2/2(2w+2)
7 = 2w+2
Subtract 2
7-2 = 2w+2-2
5 = 2w
Divide by 2
5/2 = w
The length is w+2
5/2+2
5/2+4/2 = 9/2
The width is 5/2 = 2.5
The length is 9/2 = 4.5
please answer all 3 percentages questions below
Answers
Answer:
a). 16% of £50
= 16/100 ×50
= 8
= £8
b). 44% of 781g
= 44/100 × 781
= 343.64
= 343.64g
c). 92% of 1050km
= 92/100 × 1050
= 996
= 996km
Hope this helps.
Mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away. The
equation d - 100 - 50t gives the distance d (in miles) that he has left to travel as a function of the time t (in hours) that he has
been driving. Write and interpret the inverse of this function (2 points per part).
a. Solve the equation for t by
filling in the empty spaces.
d = 100 - 50
Write the equation.
d-
100 = - 50t
Subtract 100 from both sides.
D-100/-50=t
Divide both sides by -50.
D/-50+2=t
Simplify the left side.
b. Use the inverse function to find the time that Mr. Williams has left to travel when he has driven 75 miles.
Answers
Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
14 less than 'n' is no less than -112 (Enter your answer using interval notation)
Answers
Answer:
bruh
14 less than n is not less than -112
this is ambiguous.
do you mean 14<n≥-112 or n-14≥-112
Reduce la siguiente expresión algebraica: -3x +4 -x +1=
3a -3b +a +b=
-6 +3a -5b +1 +2a -b=
-6 +3a -5b +1 +2a -b=
3a -b -7a -3 -b +1=
Necesito que me reduzcan las expresiones algebraicas
Answers
-3x +4 -x +1 = 5 - 4x
3a -3b +a +b = 4a - 2b
-6 +3a -5b +1 +2a -b = 5a -6b -5
3a -b -7a -3 -b +1= -2b -4a -2
Hope this helps ^-^
The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial? x5 – 3x3 – 2x2 – 10x + 10 x7 – 8x5 – 3x4 + 5x3 + 30x2 + 50x – 75 x3 + 2x – 3 x5 – 3x3 – 4x2 – 10x + 20
Answers
Answer:
C
Step-by-step explanation:
The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) will be (x^5-3x -3 - 24x/(x²-5)) polynomial.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The quotient of the given expression (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.
(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5
p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)
= x^5 -3x - 3 - 24x/(x² - 5)
x^5 3x³ + 15x
x^5 - 3x² - 24x + 15
x^5 - 3x² + 15
0 - 24x + 0
Learn more about quotient here;
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V=1/3Πr^2(2r+h)
PLEASE HELP!!!!!!!
Make h the subject of the formula
Need help ASAP...
PLEASE
Answers
Answer:
h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]
Step-by-step explanation:
v=( [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)
Step 1: Flip the equation.
1.047198hr2+2.094395r3=v
Step 2: Add -2.094395r^3 to both sides.
1.047198hr2=−2.094395r3+v
Step 3: Divide both sides by 1.047198r^2.
h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]
Answer:
[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]
Step-by-step explanation:
Step 1 add -2/3Πr^3 to both sides
v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3
Step 2 divide both sides by (Πr^2)/3
(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3
(3v - 2Πr^3)/Πr^2 = h
hope this helps....
Which value in scientific notation is about 9,802,733?
A. 9 x 105
B.
9 x 106
C.
9 x 107
D.
9 x 108
Answers
Answer:
B
Step-by-step explanation:
One million has 6 zeros.
9 x 10^5 = 900, 000
9 × 10^6 = 9, 000, 000
9 x 10^7 = 90, 000, 000
9 x 10^8 = 900, 000, 000
The correct answer is 9 × 10^6
Answer:
Option B
Step-by-step explanation:
=> 9,802,733
The decimal point will come after the first non zero digits and since six digits come after it , So the exponent/power/indices will be 6
So, it becomes:
=> [tex]9 * 10^6[/tex]
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answers
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
Please help!! Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Which statement is correct?
a. The two tiles are not similar because SP:SR is 5 : 1 and MJ:ML is 2 : 3.
b. The two tiles are similar because PQ:QR is 1 : 3 and JK:KL is also 1 : 3.
c. The two tiles are similar because SR:SP is 3 : 2 and ML:MJ is also 3 : 2.
d. The two tiles are not similar because PQ:QR is 1 : 6 and JK:KL is 1 : 3.
Answers
Answer: Statement B is correct; the two tiles are similar because PQ:QR is 1:3 and JK:KL is also 1:3
Step-by-step explanation: The two tiles as shown in the diagram has their dimensions given according to their position on the Cartesian plane. Tile SRQP has its width at coordinates (2,2) and (4,2) which means the width spans from 2 cm to 4 cm on the x-axis, that is a length of 4 minus 2 which is 2 cm. Similarly the length is at coordinates (2,2) to (2,8) which means the length spans from 2 cm to 8 cm on the y-axis, that is a length of 8 minus 2 which is 6 cm. Therefore the dimensions of the first tile is 6 cm by 2 cm.
Similarly, we can derive the length and width of the smaller tile MLKJ, by applying the same procedure and what we would have is a tile measuring 3 cm by 1 cm.
The ratio of tile SRQP can be derived as
Ratio = 2 : 6
Ratio = 1 : 3
Also the ratio of the tile MLKJ can be derived as
Ratio = 1 : 3
Having calculated the ratio 1 : 3 for both tiles, then we can safely conclude that both are similar.
The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder, in
cubic units?
2x
47x2
2x
x2 + 2x
O2 + x
Save and Exit
Next
Submit
Mark this and return
Answers
Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\pi r^2 h[/tex]
r is the radius of the base of a cylinder
h is height of cylinder
The height of a cylinder is twice the radius of its base. It means that h = 2r
So, volume of cylinder becomes :
[tex]V=\pi r^2(2r)\\\\V=2\pi r^3[/tex]
So, the volume of the cylinder is given by the expression [tex]2\pi r^3[/tex].
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answers
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).
Calculate the surface area of a solid box in the shape of a cube with side length 10cm
Answers
Answer:
600 cm
Step-by-step explanation:
Surface Area of a box: SA=2lw+2lh+2hw
Since a box has equal side lengths, l = 10, w = 10, and h = 10.
SA = 2(10)(10) + 2(10)(10) + 2(10)(10)
SA = 600cm
11 pens weigh 53.43 grams how many grams will 2 pens weigh
Answers
Answer:
9.72
Step-by-step explanation:
53.43/11 = 4.86
4.86*1 = 9.72
Answer:
2 pens will weigh about 9.7 grams.
Step-by-step explanation:
1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)
2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.
4. Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?
Answers
Answer:
75 degrees Celsius
Step-by-step explanation:
-114 - -39 = -75
What is the length of BC in the right below?
Answers
Answer:
B. 17
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We have a and b, so:
8² + 15² = c²
c = √(8² + 15²)
c = 17
And we have our final answer!
Answer:
To find the length of BC we use Pythagoras theorem.
BC² = AB² + AC²
AB = 8 AC = 15
BC² = 8² + 15²
BC = √64 + 225
BC = √ 289
BC = 17
BC is 17
Hope this helps.
A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters
Answers
Answer:
450
Step-by-step explanation:
Since we are estimating, we can round 596 to 600, and 77 to 75
So, we need to find 75%, or 3/4 of 600
600 * 3/4 = 150 * 3 = 450
Answer:
450 meters
Step-by-step explanation:
Graph the equation.
y = 1/3 (x + 3)(x – 3)
Answers
Answer:
Step-by-step explanation:
screen shot attached
Can someone help me please
Answers
Answer:
First 10% of 360 = 36
Next 5% of 360 = 18
Final 2.5% of 360 = 9
After adding 17.5% of 360 = 63
Hope this helps.
In the figure below, AB: BC is 3 : 1 and AC = 48. The length of AB is:
Can someone help me with this i included a picture
Answers
Answer:
36
Step-by-step explanation:
Here, we shall be splitting the total length using the ratio given.
The total ratio is 3 + 1 = 4
Since AB is the bigger length, the ratio 3 belongs to it.
Thus; 3/4 * 48 is the length of AB
= 3/4 * 48 = 3 * 12 = 36
find the sum 12x^2+3x+6
Answers
Answer:
[tex]3(8x ^{2} + x + 2)[/tex]
factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots
Answer:
This cannot be simplified any further.
Step-by-step explanation: