Answer:
See Explanation
Step-by-step explanation:
Let the numbers be [tex]a, b\ and\ c.[/tex]
[tex]a = 17[/tex]
[tex]b * c = 28[/tex]
Required
Determine the possibilities for the other two
The possibilities of the other two (as a product) are:
[tex]1 * 28 = 28[/tex]
[tex]2 * 14 =28[/tex]
[tex]4 * 7 = 28[/tex]
All possible combinations are (where order is not important): 17 1 28, 17 2 14 and 17 4 7
Someone please help me, I’m stuck!
Answer:
.....................................
Step-by-step explanation:
y = 30 & x = 3
Math problem :Belvedere swam 35 laps in 1 2 / 3 hours. Find his swimming rate in laps
per hour.
Answer:
21 laps per hour
Step-by-step explanation:
2/3 = 20/30
20/30 × 2 = 40/60
1 and 2/3 = 1 hour 40 mins
60 + 40 = 100 mins
35 (laps) = 100 (mins)
÷10
3.5 = 10
×6
21 = 60
21 laps in 1 hour
so 21 laps per hour
For any number n>1, is
(0.7 + 0.7i)n
a. Greater than 1?
b. Less than 1?
C. Equal to 1?
Using complex numbers, it is found that the correct option regarding the expression is:
a. Greater than 1.
What are complex numbers?Complex numbers are numbers that have a real and an imaginary part, and are modeled by:
[tex]z = a + bi[/tex]
In which:
a is the real part.b is the imaginary part.The magnitude of the number is:
[tex]|z| = \sqrt{a^2 + b^2}[/tex]
In this problem, the number is:
[tex](0.7 + 0.7i)n[/tex]
The smallest possible value is n = 4, hence:
[tex]z = 1.4 + 1.4i[/tex]
And the magnitude is:
[tex]\sqrt{1.4^2 + 1.4^2} = 1.98[/tex]
Which is greater than 1, hence option a is correct.
You can learn more about complex numbers at https://brainly.com/question/25572463
Answer: it’s b
Step-by-step explanation: the answer is .98 which is less than 1
How do you solve this problem? What is the answer?
9514 1404 393
Answer:
65 feet
Step-by-step explanation:
The problem involves finding the perimeter of a rectangle, then making adjustments to remove parts of the perimeter that aren't wanted.
The perimeter of a rectangle is given by the formula ...
P = 2(L+W)
For Aubrey's 12' × 8' room, the perimeter is ...
P = 2(12' +8') = 40'
This is the length of the border Aubrey needs at the ceiling.
__
At "waist-high", we need to subtract the total width of all the windows and doors. That total is ...
3' + 4' + 3' + 5' = 15'
So, the waist-high border is 40' -15' = 25'.
__
The total amount of border Aubrey needs is ...
ceiling border + waist-high border = 40' + 25' = 65'.
Aubrey needs 65 feet of border.
What is the only prime number HURRY
CREATE A SYSTEM OF EQUATIONS AND FIND THE SOLUTION TO 5y-40x=10 y+6x=0
Answer:
x = -1/7
y = 6/7
Step-by-step explanation:
factor a 5 out of the first equation to work with smaller numbers:
y - 8x = 2
let y = -6x (derived from the second equation)
substitute: -6x - 8x = 2
-14x = 2
x = -2/14 or -1/7
find 'y': y - 8(-1/7) = 2
y + 8/7 = 14/7
y = 6/7
Answer:
x = -1/7, y = 6/7
System: [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex]
Step-by-step explanation:
The system of equations would be [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex].
To find out what x and y are, choose one of the equation and solve for y. Then, substitute the result for y into the other equation.
5y - 40x = 10 (Add 40x to both sides)
5y = 40x + 10 (Divide both sides by 5)
y = 1/5(40x + 10) (Multiply 40x + 10 by 1/5)
y = 8x + 2 (Substitute this for y in the other equation.)
8x + 2 + 6x = 0 (Add 8x to 6x)
14x + 2 = 0 (Subtract 2 from both sides)
14x = -2 (Divide both sides by 14)
x = -1/7 (Substitute this for x in the y = 8x + 2)
y = 8(-1/7) + 2 (Multiply -1/7 by 8)
y = -8/7 + 2 (Convert 2 into 14/7; show as a single fraction)
y = (-8 + 14)/7 (Add -8 and 14)
y = 6/7 (The system is solved)
10% more than a number of 132
factorise cos²A + 3 Cos A + 2
Answer:
[tex](cosA +1)(cosA +2)[/tex]
Step-by-step explanation:
[tex]cos^2(A)+3cos(A)+2[/tex]
Which number add up to 3 and multiply to 2?
That would be 1 and 2.
[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]
Please help the last question of the day! For brainliest
Answer:
2\10
Step-by-step explanation:
1\2 = 5\10
7\10 - 2\10 = 5\10
The number of girls in Mrs. Manning’s classes was 12 less than twice the number of boys. She had a total of 108 students in her classes. How many girls and how many boys are in Mrs. Manning’s classes?
40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
HELP ASAP!!WILL GIVE BRANLIEST!!!
Answer:
i think it is b
Step-by-step explanation:
1. The daily wages of 50 workers in a factory are given below:
Daily wages
in )
340-380 380-420 420-460 460-500 500-540 540-580
16
Number of
workers
9
12
2.
7
4
Construct a histogram to represent the above frequency distribution.
7
Two different schools, school A and school B, attended a conference.
12% of the attendees were teachers, the rest were students,
47% of the attendees were from school A.
48% of the attendees were students from school B.
One of the attendees is selected at random.
Find the probability that they are a teacher from school A
Answer as a %*
Answer:
is the any options?
Step-by-step explanation:
please help pls show ur work
Answer: a= -3 and b=2.
Step-by-step explanation:
If a system of linear equations has infinitely many solutions, then
Ratio of coefficient of y= ratio of coefficient of x = ratio of constants.
Given system: [tex]y=2x+a[/tex]
[tex]y=bx-3[/tex]
It it has infinitely many solutions, then
[tex]\dfrac{1}{1}=\dfrac{2}{b}=\dfrac{a}{-3}\\\\\Rightarrow\ \dfrac{2}{b}=1\ \ \ \text{ and }\ \ \dfrac{a}{-3}=1\\\\\Rightarrow\ b=2\ \ \ \text{ and } \ \ a=-3[/tex]
hence, a= -3 and b=2.
15х +6y = 21
7х + бу = -3
What is the solution for each of these
Answer:
15x +6y = 21. is equal to 07x +6y = -3. is equal to 0Step-by-step explanation:
15x +6y = 2 is equal to 0 because when we move the constant to the left and divide both sides of the equation by 3 we get:
5x + 2y - 7 = 0Same with 7x +6y = -3, when we move the constant to the left and sum the two opposites equal to 0 it give us:
7x + 6y + 3 = 0can someone help me to find the answer?
Questions:
Factorise completely 4-(x-1)²
please help me how to get the answer?:/
Step-by-step explanation:
Given
4 - (x -1 ) ²
= 2² - ( x - 1) ² [ putting it into the formula a² - b² = (a+b) (a - b) ]
= ( 2 + x - 1) ( 2 - x + 1)
= ( x + 1 ) ( 3 - x)
Hope it will help :)❤
494 is 152% of what number?
Answer:
747.84
Step-by-step explanation:
change the percent to a decimal 1.52 then multiply by 494
1.52×494=747.84
In the given diagram ⃤ ABC and ⃤ CDE are equilateral triangles. If ∠EBD = 62° then find the measure of 1/2 of ∠AEB.
Answer:
Given
△ABC and △CDE are equilateral.
AE
= 25
To find perimeters of the two triangles,
Let us consider the lengths of
AC
and
CE
to be
′
x
′
and
′
y respectively.
As △ABC is equilateral,
AC
=
AB
=
BC
= x
As △CDE is equilateral,
CE
=
CD
=
DE
= y
From the figure,
AE
=
AC
+
CE
25 = x + y
x + y = 25
Perimeter of the triangle is the sum of all sides of the triangle.
For △ABC,
Perimeter of △ABC =
AC
+
AB
+
BC
= x + x + x
= 3x
For △CDE,
Perimeter of △CDE =
CE
+
CD
+
DE
= y + y + y
= 3y
Now,
Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE
= 3x + 3y
= 3 × (x + y)
= 3 × 25 (from above)
= 75
Therefore, Perimeter of the two triangles is'75′units.
Step-by-step explanation:
Hope it is helpful...
Write the number as a quotient of integers to show that it is rational.
300= ?/?
Answer:
300 is a rational number because it can be expressed as the quotient of two integers: 300 ÷ 1.
Step-by-step explanation:
The number [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] as a quotient of integers to show that it is rational.
A rational number is a number of the form [tex]\frac{p}{q}[/tex], where [tex]q \ne0[/tex] and [tex]p[/tex] and [tex]q[/tex] must be co-primes.
To write a number in the form of quotient of integer, we write it as [tex]\frac{p}{q}[/tex], where [tex]q \neq 0[/tex].
Here, [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] or [tex]\frac{600}{2}[/tex]or [tex]\frac{900}{3}.[/tex]
But we should also take care that [tex]p[/tex] and [tex]q[/tex] must be co-primes.
Co-primes are the pairs of numbers that have only one common factor which is [tex]1[/tex].
So, [tex]300[/tex] can be written as [tex]\frac{300}{1}.[/tex]
Learn more here:
https://brainly.com/question/20435423?referrer=searchResults
100% Meiling and Jackie are playing a game of chance with a six-sided number cube. The sides of the cube are numbered 1 to 6. Meiling scores a point each time she rolls a number greater than 4.
Answer:
I'm not completely sure but I beileve Jackie less than 4
Step-by-step explanation:
good luck tho
Answer:
D
(i scored 100 on the quiz)
Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes at random two biscuits from the tin.
Work out the probability that the two biscuits were not the same type.
Answer:
[tex]\frac{111}{190}[/tex]
Step-by-step explanation:
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that the two biscuits were not the same type is 111/190.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of total biscuits = 20
Number of plain biscuits = 12
Number of chocolate biscuits = 5
Number of current biscuits = 3
The probability that two randomly chosen biscuits were not the same type.
= [tex]^{12}C_1 \times ^5C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^{12}C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^5C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex]
= 12 x 5 / 190 + 12 x 3 / 190 + 5 x 3 / 190
= (60 + 36 + 15) / 190
= 111 / 190
Thus,
The probability that the two biscuits were not the same type is 111/190.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
The table shows the profit and loss of the after -school snack stand write each profit as a positive number and each loss a negative number
Answer:
Profit
7.50
4.50
Loss
-3.50
-6.00
Step-by-step explanation:
Here, we want to write each profit as a positive number and each loss as a negative number
thus, we have that;
Profit;
7.50
4.50
Loss;
-3.50
-6.00
A jar contains at least 600 marbles. Two-thirds of the marbles are red. The rest are blue. How many marbles are blue?
Answer:
200 marbles are blue only if there are 600 marbles in total. If there are more than 600, you calculate by dividing the total number of marbles by three.
Answer:
200 blue marbles
Step-by-step explanation:
two-thirds of 600 is 400... so the rest is easy 600-400=200
brainliest pls
√27 + √48 - √12 the correct answers for this please
Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
Then
[tex]\sqrt{27}[/tex] + [tex]\sqrt{48}[/tex] - [tex]\sqrt{12}[/tex]
= 3[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex]
= 5[tex]\sqrt{3}[/tex]
Answer:
[tex] \sqrt{27} + \sqrt{48} - \sqrt{12} \\ \sqrt{3 \times 3 \times 3} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} - \sqrt{2 \times 2 \times 3} \\ 3 \sqrt{3} + 4 \sqrt{3} - 2 \sqrt{3} \\ 7 \sqrt{3} - 2 \sqrt{3} \\ \boxed{5 \sqrt{3}} [/tex]
5√3 is the right answer.Seventh graders collected some gold sand on a class field trip.
Class 7A collected 40 oz of gold sand that contains 12% gold.
Class 7B collected 55 oz of gold sand that contains 11% gold.
How much pure gold did 7A collect?
Answer:
Class 7A collected 4.8 ounces of pure gold.
Step-by-step explanation:
Key skills required are: Percentages, Multiplication
We only need the information about Class 7A. They collected 40 oz that contains 12% gold. In other words, this means that 12% of that 40 oz gold sand is pure gold.Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.
Do 0.12 x 40 and you will get 4.8
Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand
whats 28*292 yo someone help
Answer:
The answer to 28 times 292 is 8,176
Circle the polygon(s) which are similar to the shaded one:
Answer:
circle the second and forth one
Answer
Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)
Step-by-step explanation:
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
On a game show, one contestant correctly answered 43% of the questions. What fraction of the questions did she answer correctly
Please help it is due today!!
Answer: use a protractor and measure from the end of the line on the right side and measure 40 degrees and draw the line straight up from there