Answer:
let a, b, c be integers. Prove that if a to the power 3 + b to the power 3 + c to the power 3 is divisible by 9, then one of the numbers a , b , c is divisible by 3
Step-by-step explanation:
3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35
Answer:
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.
Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.
The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
Given the coordinate (15, -21) and the line 5x + 2y = 4
In order to get the point on the line 5x + 2y =4, we can a point on the line
Let x = 0
5(0) + 2y = 4
2y = 4
y = 2
The point (0, 2) is on the line.
Find the distance between the point (15, -21) and (0, 2) using the distance formula
[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]
Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
Learn more here: https://brainly.com/question/22624745
How have vaccines impacted health?
A: Vaccines have only made a little progress at preventing most diseases.
B: Vaccines are effective on some people but not others.
C: Large numbers of people have had allergic reactions to vaccines
D: Some diseases have almost completely disappeared
Answer:
D some disease have almost completely disappeared
What is 162 multiplied by 0.967
The answer would be 156.654
Answer:
Remove the decimals and multiply normally.
162 x 967
156654
Put back in the decimals. In this case, move the decimal point back three spaces from the end.
156.654
:)
WILL GIVE BRAINLEST! HELP ME ASAP
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?
5x−2y=−157x+4y=20
3x+5y=−185x−9y=25
x+4y=−89x−y=21
2x−y=−142x+y=6
Answer:
Step-by-step explanation:
Line s
slope m = Δy / Δx = (22 - 4) / (4 - (-5)) = 18/9 = 2
y = mx + b
22 = 2(4) + b
b = 14
y = 2x + 14
which can be rearranged to
2x - y = -14
Line t
slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2
-4 = (-2)(5) + b
b = 6
y = -2x + 6
2x + y = 6
2x − y = −14 2x + y = 6
Evaluate 11/6 - 2/8=
Answer:
19/12
Step-by-step explanation:
Which fraction converts to a repeating decimal number?
Answer:
1/3
Step-by-step explanation:
A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?
Answer:
58%
Step-by-step explanation:
Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.
Answer:
1.79
Step-by-step explanation:
^p = x/n
= 260/500
= 0.52
z = p1-p2 / √^p(1-p)/n
= 0.52 - 0.48 / √0.48x(1-0.48)/500
= 1.79
Help pls
A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.
How many seconds, s, will it take for the balloon to drop to below 465 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answer:
s> 144 2/3
Step-by-step explanation:
I took the test in k12 and i got it right so yea !
Answer: the other person was right
Step-by-step explanation:
solve pls brainliest
Answer:
Mixed Number = 2 9/10
Improper Fraction = 29/10
Step-by-step explanation:
Mixed Number = 29/10 = 2 9/10
Improper Fraction = 29/10
I'll give brainiest whoever answers first
aight slide it here big boy
Help I’ll mark you brainlist
Answer:
24.0
Step-by-step explanation:
do 34sin(45) to solve for x
Answer this please not links-
Answer:
I believe it's 9 hope this helps
You get brainist plz
Answer:
54
Step-by-step explanation:
54
I want to know what the letter a is , and how to do it.1/3 + a 5/4
STEP
1
:
5
Simplify —
4
Equation at the end of step
1
:
1 5
(— + a) - — = 0
3 4
STEP
2
:
1
Simplify —
3
Equation at the end of step
2
:
1 5
(— + a) - — = 0
3 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
a a • 3
a = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1 + a • 3 3a + 1
————————— = ——————
3 3
Equation at the end of step
3
:
(3a + 1) 5
———————— - — = 0
3 4
STEP
4
:
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
2 0 2 2
Product of all
Prime Factors 3 4 12
Least Common Multiple:
12
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = 3
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (3a+1) • 4
—————————————————— = ——————————
L.C.M 12
R. Mult. • R. Num. 5 • 3
—————————————————— = —————
L.C.M 12
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
(3a+1) • 4 - (5 • 3) 12a - 11
———————————————————— = ————————
12 12
Equation at the end of step
4
:
12a - 11
———————— = 0
12
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
12a-11
—————— • 12 = 0 • 12
12
Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
12a-11 = 0
Solving a Single Variable Equation:
5.2 Solve : 12a-11 = 0
Add 11 to both sides of the equation :
12a = 11
Divide both sides of the equation by 12:
a = 11/12 = 0.917
a = 11/12 = 0.917
Answer:
11/12
Step-by-step explanation:
You want to subtract 5/4 minus 1/3 but you cant so you have to find the greatest denominator first which would be 12 because 3x4=12.
Since you multiplied 4x 3 to get 12 then you will multiply the 5 by 3 and the 1 by 4 to get this -> 5/4= 15/12 1/3= 4/12
Then subtract 15/12- 4/12= 11/12
a=11/12
PLEASE HELP!!
Guys please help i need this
Answer:
Because they are both base angles of isosceles triangles
2. Solve the equation and check.
8x-8= 7 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
2-2 this is a freebie for points guys
Answer:
2-2=0
Step-by-step explanation:
You have 2 cookies and you give it to 2 friends.
Answer:
0
Step-by-step explanation:
According to the Laws of Physics, yeah I don't wanna try explaining this
dur rn help pls ))))))))))
Answer:
A is correct good luck bud
Step-by-step explanation:
For all horizontal lines the range is
When you have a function where y equals a constant, your graph is a truly horizontal line,
In that case, the range is just that one and only value. No other possible values can come out of that function! Many other functions have limited ranges.
What is the difference between (2.4x10^8) and (9.2x10^6)
Answer:
2.308×10^8
Step-by-step explanation:
Your calculator can tell you what the difference is.
2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8
_____
Additional comment
If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.
How to expand
5(2m)^3
Can anyone help! Please!
Determine whether the inverse of F(x) is a function.
Answer:
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
How many tiles would be used to make figure five
A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of pi
Answer:
5π
Step-by-step explanation:
v=1/3πrh
v=1/3×π×3×5=5π
The volume of the combined solid is given as 69π ft³.
What is a right circular cylinder?A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.
The volume of the combined solid is given as,
Volume of cone + Volume of cylinder
The expression can be written as,
1/3πr²h + πr²H
Where h and H are the heights of cone and cylinder respectively.
Plug r = 3, h = 5 and H = 6 to obtain as,
⇒ 1/3π × 3² × 5 + π × 3² × 6
⇒ 69π
Hence, the volume of the combined solid is obtained as 69π ft³.
To know more about cylinder click on,
brainly.com/question/16134180
#SPJ2
What is the sum of all positive integers n ≤ 20 that satisfy the condition that if n is odd, then n is a multiple of 5? I will give brainliest for the correct answer AND explanation (It is not 20)
The sum of all positive integers that satisfy the condition as described is; 100
The number set of n is therefore;
n = {1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.
According to the question;
If n is odd, then n is a multiple of 5.The data set therefore includes all odd numbers; This is so because the question says; if n is odd; then n is a multiple of 5.
The sum of all positive integers that satisfy the condition is therefore;
1 + 3 +5 +7 + 9 +11 +13 +15 +17 +19 = 100.Read more:
https://brainly.com/question/18837188
Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
-11 boys -6 girls
Step-by-step explanation:
(1/2)power 5=?? please help
[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]
Answer:
[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]
Step-by-step explanation:
[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]
[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]
[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]
[tex] \\ \tt = \frac{1}{32} [/tex]
what is the perimeter of khgj?
Answer:
58 in
Step-by-step explanation:
The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...
P = 2(L +W)
P = 2(18 in + 11 in) = 2(29 in)
P = 58 in
The perimeter of KHGJ is 58 inches.