A number added to five times the second number is 36. The first number decreased by twice the second number is 1. Find the two numbers.
Answers
Let x be the first, number and y be the second, then we can set the following system of equations:
\(\begin{gathered} x+5y=36, \\ x-2y=1. \end{gathered}\)Subtracting the second equation from the first one, and solving for y we get:
\(\begin{gathered} x+5y-x+2y=36-1, \\ 7y=35, \\ \frac{7y}{7}=\frac{35}{7}, \\ y=5. \end{gathered}\)Substituting y=5 in the second equation, and solving for x we get:
\(\begin{gathered} x-2(5)=1, \\ x=1+10, \\ x=11. \end{gathered}\)Answer: The first number is 11 and the second one is 5.
Related Questions
Anne had seven times as many stickers as Jasminka. Anne then lost 13 stickers at school. If x represents the number of stickers that Jasminka has, which expression below represents the number of stickers Anne has left?
A. 7(x - 13)
B. 7x - (x - 13)
C. 7x - 13
D. (7x + 13) - x
Answers
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
Answers
Answer:
Step-by-step explanation:
90 degrees is the answer because there is no movement
Calculate the bill total for the week by summing the daily bill amounts. In cell B26, enter a formula using the SUM function. The function argument should be the range of cells representing the daily bill totals (B25:H25).
Answers
The formula for the bill total for the week by summing the daily bill amounts is (=sum(B25:H25)).
What are excel math functions?Numerous common mathematical operations are carried out by the Excel Math Functions, such as fundamental arithmetic, conditional sums and products, exponents and logarithms, and trigonometric ratios. Please take note that the Excel Statistical Operations and Excel Engineering Functions categories also offer other math-related Excel functions.
Given finding the bill total for the week in cell B26
To sum the daily bill amounts, use Excel's Sum function, which is a pretty simple mathematical procedure. You can manually input the sum function by typing (=sum) in the field designated for the sum, after which you provide the parameters (=sum(B25:H25)). When you hit "enter," the outcome is presented immediately. By selecting the Sum Function from the Ribbon or by hitting Alt + =, this can also be done automatically.
Hence the formula is (=sum(B25:H25)).
Learn more about excel math functions;
https://brainly.com/question/22372736
#SPJ1
x + 2y > 15 solution or not solution
Answers
The solution for the equations is -5 and -10.
What is an equation?An equation contains one or more terms with variables connected by an equal sign and we can find the solutions using the equation or solving for the variables.
Example:
34x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
-x + 2y = -15 _____(1)
8x - 2y = -20 ______(2)
Using the substitution method.
From (1),
2y = -15 + x ______(3)
Substituting in (2),
8x - 2y = -20
8x - (-15 + x) = - 20
8x + 15 - x = - 20
7x + 15 = - 20
7x = -20 - 15
7x = -35
x = -5
And,
Substituting x = -5 in (3),
2y = -15 + x
2y = -15 - 5
2y = -20
y = -10
Thus,
The solution for the equations is -5 and -10.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ9
The complete question.
Find the solutions for the equations.
-x + 2y = -15
8x - 2y = -20
Compute the flux of the vector field LaTeX: \vec{F}=F → =< y + z , x + z , x + y > though the unit cubed centered at origin.
Answers
Assuming the cube is closed, you can use the divergence theorem:
\(\displaystyle\iint_S\vec F\cdot\mathrm dS=\iiint_T\mathrm{div}\vec F\,\mathrm dV\)
where \(S\) is the surface of the cube and \(T\) is the region bounded by \(S\).
We have
\(\mathrm{div}\vec F=\dfrac{\partial(y+z)}{\partial x}+\dfrac{\partial(x+z)}{\partial y}+\dfrac{\partial(x+y)}{\partial z}=0\)
so the flux is 0.
Ms. Garcia, an art teacher, is buying supplies for her next unit on ceramics. Her 25 sixth graders are making mugs, and she estimates each one will use about 3/4
of a pound of clay. She also wants to have 20 pounds of clay for her seventh graders' sculptures. If Ms. Garcia has 5 2/5 pounds of clay leftover from last year, how much more clay does she need?
Answers
Answer: 2 1/2 pounds of more clay
Step-by-step explanation:
To calculate how much more clay Ms. Garcia needs, we need to add up the clay requirements for each grade level and then subtract the amount she already has.
For the sixth graders:
Number of students: 25
Clay required per student: 3/4 pound
Total clay required for sixth graders: 25 * (3/4) = 75/4 = 18 3/4 pounds
For the seventh graders:
Clay required for sculptures: 20 pounds
Total clay required for both grade levels: 18 3/4 + 20 = 38 3/4 pounds
Clay leftover from last year: 5 2/5 pounds
To find out how much more clay Ms. Garcia needs, we subtract the clay she already has from the total required:
38 3/4 - 5 2/5 = 38 3/4 - 27/5 = 38 3/4 - 27/5 = (155 - 108 + 3)/20 = 50/20 = 5/2 = 2 1/2 pounds
Therefore, Ms. Garcia needs an additional 2 1/2 pounds of clay.
please explain thoroughly so i can understand
Answers
Answer:
\((x+3)^{2} + 1\)
Step-by-step explanation:
Step1: First break "10" into 9 + 1
Arrange the given expression according to the formula;
\(\\Step 2: (a+b)^{2} = a^{2}+2ab+b^{2}\)
\(x^{2} + 2 (x)(3) + (3)^{2} + 1\)
\((x + 3)^{2} + 1\)
Answer:
a) (x + 3)^2 + 1
we know that ( x + a )^2 = x^2 + 2ax + a^2
so just need to think whats number will be 6 after times 2
until here we can get (x + 3)^2
expand it you can only get x^2 + 6x + 9
so +1 to make it become 10
this is my method as I think it's fast to get the answer if you don't get it you may just follow completing the square formula
b) ( -3 , 1 )
you can just get it after you completing the square
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.
Their choices were as follows:
Grades 9–10: Rap 40; Rock: 25; Country: 60
Grades 11–12: Rap: 55; Rock: 30; Country: 40
Which of the following is a correct two-way relative frequency table for the data?
Rap Rock Country Total
Grades 9–10 16% 10% 24% 50%
Grades 11–12 22% 12% 16% 50%
Total 38% 22% 40% 100%
Rap Rock Country Total
Grades 9–10 22% 12% 16% 50%
Grades 11–12 16% 10% 24% 50%
Total 38% 22% 40% 100%
Rap Rock Country Total
Grades 9–10 40 25 60 125
Grades 11–12 55 30 40 125
Total 95 55 100 250
Rap Rock Country Total
Grades 9–10 55 30 40 125
Grades 11–12 40 25 60 125
Total 95 55 100 250
Points earned on this question: 0
Answers
The correct option is C for the frequency table.
What is a frequency table?A table that depicts the frequency of occurrence of a given characteristic according to a specified set of class intervals.
The correct two-way frequency table for the date will look like this:
RAP ROCK COUNTRY TOTAL
Grades 9-10 40 30 55 125
Grades 11-12 60 25 35 120
TOTAL 100 55 90 245
The sum of the row total is equal to the sum of the column total
125 + 120 = 100 + 55 + 90
245 = 245
The correct option for the frequency table is C.
To know more about the frequency table follow
https://brainly.com/question/16148316
#SPJ1
Find the area of these figures
Answers
Answer:
I think the answer for the first one would be 32^2 meters for 4m × 4m and 13m. The 6m and 8m would be 48^2 meters. The second one would be 5in × 5in would be 25in and 2in × 4in would be 8in. The third one would be 6ft × 6ft × 6ft would be 48ft.
Step-by-step explanation:
To find area, you have to multiply the sides of each figure.
A = a^2 = 4m × 4m × 13m = 32.A = a^2 = 6m × 8m = 48.5 × 5 = 25.2 × 4 = 8.6 × 6 = 36 + 12 = 48.I hope this helps your question!
y varies directly with x Part 1
19. If y = 4 when x = -2, find x when y = 6
20. If y = 6 when x = 2, find x when y = 12
21. If y = 7 when x = 2, find x when y =3
Answers
Answer:
19. -3
20. 4
21. 6/7
Step-by-step explanation:
Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.
19. x = 6/4(-2) = -3
20. x = (12/6)(2) = 4
21. x = (3/7)(2) = 6/7
In the similar triangles below , what is the measure of D
Answers
The measure of angle D is 45°
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.
And also the ratio of corresponding sides of similar triangles are equal.
To know the corresponding angles
side AC is corresponding to side EF, therefore angle D is congruent to angle A
angle D = 45°
OR , we can use the sum of angles In a triangle , which is 180°
angle D = 180 -( 72+63)
= 180 - 135
= 45°
learn more about similar triangles from
https://brainly.com/question/14285697
#SPJ1
Alex wrote the expanded form for the number 165.038 as 100+60+5+30+8. Was he correct? If not give expanded form.
Answers
We have the next number
\(165038\)The expanded form of the number is
\(100000+60000+5000+30+8\)Also, we can verify that Alex was incorrect because if we do the sum of the expanded form that Alex calculated we obtain
\(\begin{gathered} 100+60+5+30+8=203 \\ \text{And }203\ne165038 \end{gathered}\)Finally, the correct answer is
\(100000+60000+5000+30+8\)Find m angle K Please help im so un-smart and I dont understand this can someone brefily explain
Answers
Answer:
B. 63
Step-by-step explanation:
Let's first find angle M.
Angle M has 118 by it. The line below it is also a straight line. The angle of a straight line is 180. This means that 180-118 equal angle M.
Angle M = 180-118 = 62
Now the angles of a triangle also equal 180 and since 1 angle is 62, these other two angles must equal 118.
\((6x - 9) + (4x + 7) = 118\)
Lets combine like terms. We combine the numbers. -9+7 equals -2. 6x + 4x = 10x. Putting those answers together
\(10x - 2 = 118\)
If we add 2 to both sides, that gets rid of the 2 on the left side
\(10x = 120\)
Lastly, we divide by 10
\(x = 12\)
Now that we have X, we can plug it into angle L's equation!
\((6x - 9) = (6(12) - 9) = ((72) - 9) = 63\)
To show it's correct, plugging it into the other equation makes it 55.
55 + 63 + 62 = 180
IDENTIFYING
RADIUS & DIAMETER
Radius =
36 cm
Diameter =
Answers
Answer: 72 cm
Step-by-step explanation:
The diameter is twice the radius, in other words just multiply the radius by 2.
36*2= 72 (You could also just add 36 to itself). I hope this helps!
You can sand 4/9 square yard of wood in 1/2 hour. How many square yards can you sand in 3.2 hours? Justify your answer.
Answers
Answer:
4/9 = 1/2 x
Step-by-step explanation: 2.84 sands
given that the dice lands on a number greater than or equal to 5, what is the probability that the selected die is die
Answers
The probability of getting a number greater than 5 is = 1/6
Option (b) is correct.
The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.
Die with numbers; 1,2,3,4,5,6
A number greater than 5 on the dice
A number greater than 5 is,6 out of which only one Number appears while throwing dice
So, using the formula :
probability(number greater than 5)= favorable outcome/ total number of outcomes
The probability of getting a number greater than 5 is = 1/6
The complete question is -
The probability of getting a number greater than 5 in throwing a die is
a) 1/3
b) 1/6
c) 3/4
d) 2/3
learn more about probability
https://brainly.com/question/30034780
#SPJ4
PLZ ANSWER NEED IT ASAP
Answers
Answer:
80 square units
Step-by-step explanation:
beep
0ne elven and ninty ten thousandths. How would you write this
Answers
Answer:
one elven? do you mean eleven? if so, the answer is 11.00900 hope this helps
Step-by-step explanation:
Answer:
11.091000
Step-by-step explanation:
Dexter runs around a track at 10 laps in 20 minutes. How many laps per minute is that?
Answers
Answer:
2
Step-by-step explanation:
20/10=2
The answer is:
30 seconds!
special triangles please help part 5. Please show work
Answers
9514 1404 393
Answer:
3. 4 N
4. 3√2 N
Step-by-step explanation:
Again, these are "special triangles," so you already know the ratios of the side lengths.
3. The given sides have the ratio 2 : 3.464 = 1 : 1.732 = 1 : √3, so the remaining side finishes the special triangle ratios 1 : √3 : 2 = 2 : 3.464 : 4.
T = 4 N
__
4. The given sides have the ratio 3 : 3 = 1 : 1, so the remaining side finishes the special triangle ratios 1 : 1 : √2 = 3 : 3 : 3√2.
T = 3√2 N
#8 i
A parabola with its vertex at (2,5) and its axis of symmetry parallel to the y-axis passes through point (22,365). Write an equation
of the parabola. Then find the value of y when x = 12.
An equation is
Elio Mendoza
When x = 12, y =
Answers
y = a(x - 2)^2 + 5
where a is a coefficient that determines the shape and direction of the parabola.
We can find the value of a by substituting the coordinates of the given point (22, 365) into the equation:
365 = a(22 - 2)^2 + 5
Then, we can solve for a by rearranging the terms and solving for a:
360 = a(20^2)
a = 360 / (20^2)
a = 0.225
Now that we have found the value of a, we can substitute it back into the equation to get the final equation of the parabola:
y = 0.225(x - 2)^2 + 5
To find the value of y when x = 12, we can substitute 12 for x in the equation:
y = 0.225(12 - 2)^2 + 5
y = 0.225(10^2) + 5
y = 2.25 + 5
y = 7.25
Therefore, the value of y when x = 12 is 7.25.
Look at the chart showing a clothing stores daily stock data for the past month . Which statement is a fair conclusion based on the chart
Answers
Answer: c
Step-by-step explanation:
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
For more such questions on future value
https://brainly.com/question/24703884
#SPJ8
The weights of four similar packs of tomatoes are listed below.
Pack A: 2.456 pounds
Pack B: 2.457 pounds
Pack C: 2.454 pounds
Pack D: 2.459 pounds
Malcolm rounds the weights to the nearest hundredth pound. Which weight does
not round to 2.46 pounds?
A 2.456 pounds
B 2.457 pounds
C 2.454 pounds
D 2.459 pounds
Answers
Answer:
The weight that does not round to 2.46 pounds is C 2.454 pounds.
Step-by-step explanation:
Based on the given information, the weights of the four similar packs of tomatoes are as follows:
Pack A: 2.456 poundsPack B: 2.457 poundsPack C: 2.454 poundsPack D: 2.459 poundsMalcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:
Pack A: 2.46 poundsPack B: 2.46 poundsPack C: 2.45 poundsPack D: 2.46 poundsFrom the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.
please help with math problem if do 5 star
Answers
Answer:
D
Step-by-step explanation:
The word elevation means above or on top.
This means our answer must be a positive so option C is eliminated.
Sea level is 0 ft
So we can make an equation with x as our unknown:
x = sea level + feet elevated
x= 0 + 373
x =373
Therefore Option D is the correct answer
Please mark as Brainliest as I am on my road to genius rank/level.
Listed below are annual revenues for a few travel agencies:
AAA Travel Agency
Riser Group
Casto Travel
Balboa Travel
Hunter Travel Managers.
a. What would be the mean and the median?
Mean
Median
$86,700,000
63,200,000
62,900,000
36,200,000
36,000,000
$ 57,000,000
$ 62,900,000
Answers
Mean= $57,000,000 and Median=$57,000,000
What is Mean?
One of the most significant and often employed metrics of central tendency is the mean. In mathematics, there are various different kinds of means. In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a particular set of observations. To put it another way, calculating the mean of a data set only requires adding up all the values and dividing the result by the total number of values. However, depending on whether grouped or ungrouped data is provided, the basic approach and formulae change.
Mean = 1/5 * (Sum of all agencies)
= 1/5 * (86,700,000 + 63,200,000 + 62,900,000 + 36,200,000 + 36,000,000)
= $57,000,000
Since the number of entries are odd,
hence median = 1/2 * (5+1) = 3rd item in the sorted list, which is equal to $57,000,000
To know more about mean checkout https://brainly.com/question/13451489
#SPJ1
Help me with this plzzzzzzzzz
Answers
Answer:Hi
Step-by-step explanation:
PLZ HELP I WILL MARK BRAINLEST!
Answers
Answer:
Most likely B.}21 inches,
Please mark me brainliest
Answer:
The answer is B, 21 inches
Step-by-step explanation:
You find what happened with the width which is time 3. Then you multiply 7 by 3 to get 21!
Hopefully that helps! Please mark BRAINILEST
A diamond merchant received a shipment of 7/10 of a pound of diamonds. He divided the diamonds into 7 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?
Write your answer as a fraction or as a whole or mixed number.
Answers
The weight of the diamonds in each lot was 1/10 of a pound, or 0.1 pound.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic sequence with a common difference of 3, since each term after the first is found by adding 3 to the preceding term.
The nth term of an arithmetic sequence can be found using the formula:
an = a1 + (n-1)d.
The merchant received 7/10 of a pound of diamonds and divided them into 7 equal lots. To find the weight of each lot, we need to divide 7/10 by 7:
(7/10) ÷ 7 = (7/10) × (1/7) = 1/10
Therefore, the weight of the diamonds in each lot was 1/10 of a pound, or 0.1 pound.
To learn more about arithmetic sequence from the given link:
https://brainly.com/question/15412619
#SPJ1