Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you
m∠RSU = (7x + 3)° and m∠UST = (11x − 21)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?
Step-by-step explanation:
m∠RSU + m∠UST = 90° (as complementary angles)
(7x + 3)° + (11x − 21)° =90°
18x -18° = 90°
18x = 108°
x = 6
so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°
and m∠UST = (11x − 21)° = 11(6) -21 = 45°
The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.
What is the angle?The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.
The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4
Required measures of the angles,|
1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|
m∠RSU = 31°
2) m∠UST = (11x − 21)°.
m∠UST = (11 * 4 − 21)°
m∠UST = (44 − 21)°
m∠UST = 23°
Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.
Learn more about Angles here:
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Is 4.357216436 rational
Answer: It is a rational number.
Step-by-step explanation: Because rational numbers can also be terminating decimals.
The box plots show the amount of time It took members of cross-country teams from two different schools to finish a two-mile run.
A. There is a weak evidence that team members from School J run slower than team members from School K.
B. There is no evidence that team members from School J run slower than team members from School K.
C. It is certain that team members from School J run slower than team members from School K.
D. There is strong evidence that team members from School J run slower than team members from School K.
Answer:
D
Step-by-step explanation:
Need Help, with steps
Answer:
It is C
Step-by-step explanation:
PM = QM
[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]
Answer:
C.) x = 3
Step-by-step explanation:
The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.
Determine if the following statement is true or false. If false provide a counterexample.
An equation with an integer coefficient will always have an integer solution.
Answer: An equation with an integer coefficient will NOT always have an integer solution.
Explanation: 3x=25⟹x=253 , therefore it is false.
How to evaluate a2 + b - c2
please help asap need answer
Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?
A) 5/5
B) 12/12
C) 15/15
D) 4/4
E) 3/3
Answer:
E) 3/3
Step-by-step explanation:
12/15 ÷ X = 4/5
We need to divide the top and bottom by 3/3
12 ÷3 =4
15÷3 = 5
Cho is making a rectangular garden, where the length is x feet and
the width is 4x – 1 feet. He wants to add garden stones around
the perimeter of the garden once he is done. If the garden is 4 feet
long, how many feet will Cho need to cover with garden stones?
Answer:16x-6
Step-by-step explanation:4(4x-1) distributed is 16x-6
-3(2d + 5) please help me solve this using distributive property
Answer:
-6d -15
Step-by-step explanation:
-3(2d + 5)
Distribute
-3 *2d -3*5
-6d -15
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
Answer:
1.) x = 150
2.) x = 8.5
Step-by-step explanation:
1.)
[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]
2.)
[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]
Answer:
1. x = 150
2. x = 8.5
Step-by-step explanation:
1. x/5 + 10 = 40
Get x by itself and then solve for x.
First, subtract 10 from both sides
x/5 + 10 - 10 = 40 - 10
x/5 = 30
Then, multiply by 5 to get x by itself.
x/5 = 30
x/5 * 5 = 30 * 5
x = 150
2. 4x - 36 = -2
Get x by itself and then solve for x.
First, add 36 to both sides
4x - 36 + 36 = -2 + 36
4x = 34
Then, Divide each side by 4
4x/4 = 34/4
x = 8.5
what is the square root of 465
Answer:
The square root of 465 with one digit decimal accuracy is 21.5.
Step-by-step explanation:
√465 = 21.5
The average of five numbers is 34. Two of the numbers are the same, and the other three are 49, 25, and 42. Find the value of the two numbers missing numbers.
Answer:
Both numbers = 27
Step-by-step explanation:
( x + x + 49 + 25 + 42)/ 5 = 34 Multiply both sides by 5
(2x + 49 + 25 + 42) = 34*5 = 170 Combine the left
(2x + 116) = 170 Remove the brackets.
2x + 116 = 170 Subtract 116 from both sides
2x = 170 - 116
2x = 54 Divide by 2
x = 54/2
x = 27
Check
27 + 27 + 49 + 25 + 42
170 / 5 = 34
It does check out.
27 is right.
What is the distance between points (6,-5) and (2,-2)
Answer:
ans is 5.
hope it will help you.
what is the area of a rectangle which is 7.2cm by 3cm
Answer:
21.6cm^2
Step-by-step explanation:
area = length * breadth
= 7.2 * 3 = 21.6
Factorize 2x^2-5/3xy-2y^2
I hope it helps you
Answer:
[tex]y = 0 \: .x = \frac{2}{3} y[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]
[tex]3xy - 2 {y}^{2} = 0[/tex]
[tex]y \times (3x - 2y) = 0[/tex]
[tex]y = 0 = 3x - 2y = 0[/tex]
[tex]y = 0 = 3x = 2y[/tex]
[tex]y = 0[/tex]
[tex]x = \frac{2}{3} y[/tex]
[tex]y = 0. \: x = \frac{2}{3} y[/tex]
IN NEED OF HELP LIKE ASAP!
Answer:
Below
Step-by-step explanation:
2^-3 / 2^2 is equal to 1 / 2^5
Write the expression in exponential form
2^-5 = 2^-5
Set the exponents as equal
-5 = -5
So this is true
Hope this helps! Best of luck <3
can Someone Answer This Please! The Question Is on the Attached Photograph Below: Thanks!
Answer:
a^5÷a^3=a^5×a^-3=a^5+-3=a^2
Answer:
[tex]a) \: \: {a}^{2} [/tex]
[tex]b) \: \: c[/tex]
Step-by-step explanation:
[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]
[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]
Hope it is helpful.....Find the perimeter of the following figures and circle the figure with the greatest perimeter
Answer:
figure plz
Step-by-step explanation:
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer.
[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\longmapsto ^{12}C_3[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]
cancel 9![tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]
[tex]\\ \rm\longmapsto 220[/tex]
. A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
both the numerator and the denominator the fraction becomes 1⁄2, find the fraction.
Class 10 cbse maths
the answer is 7/9. ...........
Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?
Help ill give branliest
Answer:
i flipped the images upside down.
Step-by-step explanation:
R= 8,5
Q=8,7
R=5,9
A person picks 250 apples an hour and works for 5 hours a day. How many apples can be picked in 2 weeks, assuming apples are picked each day??
Answer:
17,500 Apples in 2 weeks
Step-by-step explanation:
250 apples*5 hours*14 days= 17,500 Apples in 2 weeks
Find the value of x
Picture shown!
Describe and correct the error in solving the equation
Describe and correct the error in solving the equation
2(s - 5) = 2 (s + 5)
2s - 10 = 2 s - 10
2s = 2s
0 = 0
Answer:
2(s + 5) = 2s + 10, not 2s - 10
2s - 10 = 2s + 10
[tex]0 \neq 20[/tex]
Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?
Answer:
-5.35
Step-by-step explanation:
-20.85
+15.50
this helps with the problem
If 4/5 = N/1٫ then N=
Answer:
4/5 ....
Step-by-step explanation:
N/1 = N
so... um...
4/5 = N/1
4/5 = N
N = 4/5
Answer:
N = 0.8
Step-by-step explanation:
4/5 = N/1
0.8/1 = N/1
0.8 = N
Can you write - 14 as a fraction?
Answer:
-14/1 or 14/-1
Step-by-step explanation:
The fraction for 14 is 14/1
to make it negative, just add a negative sign for numerator or denominator.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If B is mid point of AE and AB is 25 what is AE
Answer:
50 i think not sure what kind a question this is
