Answer:
- 3a -16b
Step-by-step explanation:
2⁄5 + 3⁄7 + 5⁄6 = is what?
Answer:1.661905 or 349/210 Or 1 139/210
Step-by-step explanation:
2⁄5 + 3⁄7 + 5⁄6
29/35+5/6
349/210
1. Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. Which of the following is a true statement?
a. The group purchased 4 adult tickets.
b. The group purchased 9 kid’s tickets.
c. Both a and b are true.
d. Neither a nor b are true.
Answer:
A
Step-by-step explanation:
Multiply the cost of an adult ticket by 4 which is 36 and then subtract it from 91 you will get 55. You will see that 55 is divisible by 5 so you get 11kids
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm
Answer:
a
Step-by-step explanation:
r = 2.5 cm
V= 3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]
Answer:
a
Step-by-step explanation:
In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
btw i need two answers for bc not just one
Answer:
AB = 30 inch
BC = 14 inch or BC = 50 inch
Step-by-step explanation:
Make a drawing. Please see the attachment. All measurements are in inches.
Consider the two triangles:
∆ ABC and ∆ AB'C
1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.
AN is the height and there fore is perpendicular to NC and thus also to BC.
In ∆ ANC
AN² + NC² = AC²
We want to calculate NC, so:
NC² = AC² - AN²
Given: AC = 40 and AN = 24
NC² = 40² + 24²
NC² = 1600 + 576
NC² = 1024
NC = +-SQRT(1024)
NC = 32
NC = NB + BC
We want to know BC
BC = NC - NB
Given: NB = BN = 18 and we just calculated NC to be 32 so...
BC = 32 - 18
BC = 14
2. Looking only at ∆ AB'C
AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.
AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.
In ∆ AB'N
c² = a² + b²
AB'² = AN² + B'N²
Given: AN = 24 and B'N = 18
AB'² = 24² + 18²
AB'² = 576 + 324
AB'² = 900
AB' = +-SQRT(900)
AB' = 30
In ∆ AB'C
with AB' = 30 and AC = 40
c² = a² + b²
B'C² = AB'² + AC²
B'C² = 30² + 40²
B'C² = 900 + 1600
B'C² = 2500
B'C = +-SQRT(2500)
B'C = 50
Now we have our answers.
Extra:
Please look at the picture again, but now concentrate on the indicated 50 and - 50...
I am trying to explain something about the meaning of the outcome of mathematical calculations like:
c² = 2500
c = +- SQRT(2500)
c = 50 or c = - 50
Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...
1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?
2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).
It is important to understand that a negative sign means the 180° in the direction of the other way.
In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -
minus value of your calculated outcome.
Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.
I hope this has made some sense to you :-).
Henry's wage is £450 per week.
He spends 2/5 of his wage on food.
30% goes on the household bills and the rest is saved.
How much does Henry save each week?
Answer:
He saves £135 each week
Step-by-step explanation:
He spends 2/5 of his wage on food
2/5x450=£180
He spends 180£ on food each week
30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills
so his total expenditure is 135+180= £315
he saves the rest which is £135.
thus, your answer is £135
I WILL GIVE YOU BRAINLIEST!!!!!
Answer:
Brainelist goes to me!
Step-by-step explanation:
-6/3 = -2
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{3-x}{x-6}[/tex] ← substitute x = 9 into the expression
= [tex]\frac{3-9}{9-6}[/tex]
= [tex]\frac{-6}{3}[/tex]
= - 2 → B
which of the following statements are Ture...?
ANWSER:
[] The prime factorization of 14 is 2 times 7.
[] The prime factorization of 21 is 3 times 7.
[] 21 is a prime number.
[] 14 is a composite number
[] The GCF of 14 and 21 is 14.
[] The LCM of 14 and 21 is 42
Answer:
1, 2, 4, 6 are true statements
subtract the following integer in number line =5 from 3
Answer:
-2
Step-by-step explanation:
3-5= -2
Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my work, thank you!
Answer:
21+12i i hope this will help you
Step-by-step explanation:
(3-4i)(1+5i)-(2-i)
=[3(1+5i)-4i(1+5i)]-(2-i)
=[3+15i-4i-20i²]-(2-i)
=(3+11i-20i²)-(2-i)
opening brackeys
=3+11i-20i²-2+i
=3+11i+1i-20i²-2
as we know that i²=-1
=3-20(-1)-2+12i
=3+20-2+12i
=21+12i
The expression (3 - 4i)(1 + 5i) - (2 - i) is simplified as 21 + 12i
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be A = (3 - 4i)(1 + 5i) - (2 - i)
Now , we know i² = -1
And , on simplifying the expression , we get
A = (3 - 4i)(1 + 5i) - (2 - i)
A = 3 + 15i - 4i - 20i² - 2 + i
A = -20i² + ( 3 - 2 ) + ( 15i - 4i + i )
A = -20 ( -1 ) + 1 + ( 11i + i )
A = 20 + 1 + 12i
A = 21 + 12i
Hence , the value of the expression (3 - 4i)(1 + 5i) - (2 - i) is ( 21 + 12i )
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Hi can any one please help me In math please I don’t know any thing of it
Answer:
Step-by-step explanation:
volume=area of base×height
area= length×witgh
a)
a=5×4
a=20
v=20×10
v=200 sq. cen.
b)
lol idk how to explain this one
a=153
v=153×16
v=2448 sq. cm.
c)
V = 1/3AH
a= 15×15
a=225
v=1/3 225 17
v=1/3 3825
v=1275 sq. cm.
im to tired to do the rest but i hope i helped with what i did
also that took a long time can i plz get brainilest?
Answer:
a=l times w
Step-by-step explanation:
give her brainilest. that’s why i answered some she can get brainilest
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
Answer:
D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
Step-by-step explanation:
[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]
[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]
[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
The standard form of a polynomial is the general way of writing the polynomial.
The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
The polynomial expression is given as:
[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]
Collect like terms
[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]
Evaluate the like terms
[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]
Rewrite the polynomial in decreasing order of the power of x
[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Read more about polynomials at:
https://brainly.com/question/2833285
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
Pls help emergency will Mark bigbrain
Answer:
C.
Step-by-step explanation:
Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where volume of sphere = 81 π cm³
So, the equation becomes
81 π = [tex]\frac{4}{3} \pi r^3[/tex]
Answer:
the correct answer is the third row.
Step-by-step explanation
What is the value of the rational expression below when xis equal to 3?
15 - X
9-X
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6
Answer:
15-x is 12
9-x is 6
Step-by-step explanation:
Find the exact value using trigonometric identities.
Which arcs are congruent? Check all that apply. Arc B C ≅ Arc M P Arc B C ≅ Arc M O Arc C F ≅ Arc K P Arc E G ≅ Arc K L Arc L O ≅ Arc M P
Answer:
Step-by-step explanation:
The arcs that are congruent are:
Arc B C ≅ Arc M P. Arc E G ≅ Arc K L. Arc L O ≅ Arc M P.What congruent angles in math?
Two geometric figures can be described as congruent if on can be superpose on the other.
Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.
Learn more about congruent from
https://brainly.com/question/2938476
Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______
Answer:
g(x)=(x^2)-3
Step-by-step explanation:
f(x) is shifted down by 3 units
What is the product of 8/9 and 2/7
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63
The Answer is: 16/63
You just multiply 8/9 & 16/63
What’s the answer to this question?
Answer:
h=2A/b
Step-by-step explanation:
Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.
If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.
Answer:
3/4
Step-by-step explanation:
Let the unknown number be x.
Subtract 1/2 from the unknown number: x - 1/2
Multiply the result by 1/2: 1/2(x - 1/2)
You get 1/8: 1/2(x - 1/2) = 1/8
Now we solve the equation for x.
1/2(x - 1/2) = 1/8
Multiply both sides by 2.
2 * 1/2(x - 1/2) = 2 * 1/8
x - 1/2 = 1/4
Multiply both sides by 4
4x - 4 * 1/2 = 4 * 1/4
4x - 2 = 1
Add 2 to both sides.
4x = 3
Divide both sides by 4.
x = 3/4
Answer: The number is 3/4.
Solve the inequality.
Answer:
the first one, v < 1 23/25
Step-by-step explanation:
multiply both sides by 6 and divide by 5
v < 48/25, or v < 1 23/25
Answer:
v < 1 23/25
Step-by-step explanation:
5/6 v < 8/5
Multiply each side by 6/5
6/5*5/6 v < 8/5*6/5
v < 48/25
Rewrite as a mixed number
v < 1 23/25
Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number.
Answer:
A = 2/15 gallons per bottle
Step-by-step explanation:
Given;
Total volume of ketchup V = 2 gallons
Number of bottles N = 15
The amount of ketchup per bottle A;
A = total volume of ketchup ÷ number of bottles
A = V/N
Substituting the values;
A = 2gallons ÷ 15bottles
A = 2/15 gallons per bottle
Answer:
2/15
Step-by-step explanation:
2 divided by 15 is the same or equal to 2/15
example: 2 divided by 15= 2/15
It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4
Answer:
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Step-by-step explanation:
We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:
[tex]y = a*x[/tex]
The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:
[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Evaluate:
12.16 x .13 =
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
After proving two triangles are congruent, then one can prove parts of a triangle are congruent using the reasoning CPCTC.
True
False
Answer:
The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.
rational numbers are always sometimes never natural numbers
Answer:
Rational numbers are sometimes natural numbers
Step-by-step explanation:
8 is a Rational number and is natural too
1/2 is a Rational number and but is not natural
Find a linear second-order differential equation F(x, y, y', y'') = 0 for which y = c1x + c2x4 is a two-parameter family of solutions. Make sure that your equation is free of the arbitrary parameters c1 and c2. (Use yp for y' and ypp for y''.)
Answer:
[tex]4y+ y"x^2-4y'x = 0[/tex]
↓
[tex]F(x, y, y', y'') = 0[/tex]
Step-by-step explanation:
From the information given:
[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]
So;
[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]
∴
[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]
↓
[tex]F(x, y, y', y'') = 0[/tex]
Considere as funções com domínio dos números reais dadas por f(x) = -x + 5 e g(x) = 2x + 2 Calcule o valor de : F(0) + g(1) ________ F(2)
A 3.
B4.
C9.
D5.
E 7
Answer:
C) 9
f(0) +g(1) = 5 +4 =9
F(2) = -2 + 5 =3
Step-by-step explanation:
Given f(x) = -x + 5
g(x) = 2 x + 2
Put x=0 in f(x) = -x +5
f(0) = -0 +5 =5
g(x) = 2 x + 2
Put x= 1
g(1) = 2(1) +2
g(1) = 4
f(0) +g(1) = 5 +4 =9
b) f(x) = -x +5
put x = 2
F(2) = -2 + 5 =3
A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters
Answer:
Ryan had a head start of 10 meters
Answer:
Ryan had a head start of 10 meters.
Have a great day!
Step-by-step explanation:
Please mark me brainliest!
What is the equation of the following line? Be sure to scroll down first to see all answer options
Answer:
E. y = 1/4x
Step-by-step explanation:
Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis
