Answer:
The algebraic expression is: [tex]8x-5=-1[/tex]
the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]
Step-by-step explanation:
Translating "Five less than eight times a number is equal to -1" into algebraic expression
Let the number = x
[tex]8x-5=-1[/tex]
Now solving the expression to find value of x
[tex]8x-5=-1\\Add\:5\:on\:both\:sides\\8x-5+5=-1+5\\8x=4\\x=\frac{4}{8}\\x=\frac{1}{2}[/tex]
So, the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]
Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7
Answer: = 4y + 7z + 8
Answer:
7z+4y+8
Step-by-step explanation:
Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8
Mariko spent 2 1/2 hours or less doing Spanish and history homework last night. She spent at least 3/4 hour on history, and she spent more time in Spanish in history. Which system of equalities represents the time Mariko spent on homework if X represents the number of hours spent on Spanish NY represents the number of hours spent on history?
hey i dont know it im just doing a glitch right now
find value for x please and thank you
Answer:
x = - 3
Step-by-step explanation:
Given
3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6 ( subtract 5x from both sides )
- 2x - 12 = - 6 ( add 12 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
find the domain of the following equations and solve them
Answer:
Domain → x > 0
Solution → x = 100
Step-by-step explanation:
Given equation is,
[tex]x^{0.5\text{logx}}=0.01x^2[/tex]
Since, log of any number 'x' is defined when x > 0
Therefore, domain of the equation → x > 0
By taking log on both the sides of the equation,
[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]
0.5(logx)(logx) = log(0.01) + log(x²)
0.5(logx)²= -2 + 2log(x)
Let log(x) = a
Then the equation becomes as,
0.5a² = -2 + 2a
0.5a² - 2a + 2 = 0
a² - 4a + 4 = 0
(a - 2)² = 0
a = 2
Since, a = log(x)
log(x) = 2
x = 10²
x = 100
Therefore, solution of the given equation is x = 100.
[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]
Step-by-step explanation:A equation is given to us and need to find the domain of the equation . So , given equation is ,
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]
Now , let's simplify this equation to find the domain of x .
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]
Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.
[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]
In set builder Notation we can write as ,
[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]
Hence the domain of x is ( 0 , ∞ ) .Please help asapp!!!?!!?!?!?
Answer:
I am sorry I just saw the question!
a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass
ABC=DBC, AB=10, mA=44
mD = ?
Answer: 44
Step-by-step explanation:
Since ABC=DBC. that means A=D so that would mean 44=D since A=44 and they’re both congruent (equal)
Answer:
its 44
Step-by-step explanation:
Please help.............
Answer:
a. 754cm³ (3 s.f.)
b. 415cm² (3 s.f.)
Step-by-step explanation:
Formulas (for easier reference):
Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³
Surface area of cone without base: [tex]\pi[/tex]rl
Surface area of hemisphere without base: 2[tex]\pi[/tex]r²
We can just apply the formulas for the question:
Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)
= 96[tex]\pi[/tex] + 144[tex]\pi[/tex]
= 240[tex]\pi[/tex]
= 754cm³ (3 s.f.)
Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)
= 60[tex]\pi[/tex] + 72[tex]\pi[/tex]
= 132[tex]\pi[/tex]
= 415cm² (3 s.f.)
Determine the intercepts of the line
Answer:
x-int: (-40, 0)
y-int: (0, 15)
General Formulas and Concepts:
Algebra I
The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis. The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the line on the graph, it passes the x-axis at x = -40 and it passes the y-axis at y = 15.
Therefore, our x-int is (-40, 0) and our y-int is (0, 15)
log(x - 3) + log(x + 4) – log x = log 5
Please find attached photograph for your answer.
There are 17 members in a travel group. The Venn diagram below shows members that have been to the United
States, Australia, both, or neither
Complete the following two-way frequency table.
Have been to the United States Have not been to the United States
Have been to Australia
Have not been to Australia
Australia
United States
5
2
6
Answer: 2 . 5
6 4
Step-by-step explanation:
The solution is
The equation of sets is given by n(A∪B) = n(A) + n(B) - n(A⋂B)
What is Set Theory Formula?
The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
Given data ,
Let the equation be represented as A
The value of A is
n(A∪B) = n(A) + n(B) - n(A⋂B)
So , from the given Venn diagram , we get
The number of people who have been to the United States and Australia is given by A = 2
The number of people who have been to Australia and not been to United States is B = 5
The number of people who have not been to Australia but been to United States is C = 6
The number of people who have not been to Australia and not been to United States is D = 4
Hence , the equation is solved by sets
To learn more about sets click :
https://brainly.com/question/26397859
#SPJ2
Which equation could be used to find the length of the hypotenuse?
Help me edjdhvsvjwjsjdhsb
Answer:
C
Step-by-step explanation:
Please help thanks !!!!
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6(x - 1) = -72
Step 2: Solve for x
Divide 6 on both sides: x - 1 = -12Add 1 to both sides: x = -11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(-11 - 1) = -72Subtract: 6(-12) = -72Multiply: -72 = -72Here we see that -72 does indeed equal -72.
∴ x = -11 is a solution to the equation.
Answer:
x = - 11
Step-by-step explanation:
Given
6(x - 1) = - 72 ← divide both sides by 6
x - 1 = - 12 ( add 1 to both sides )
x = - 11
Write fifty-three dollars and six cents using the dollar symbol (without spaces)
Answer:
$53.06
Step-by-step explanation:
Answer:
$53.06
Step-by-step explanation:
ANSWER FAST PLEASE!
Ms. Barcht Open a savings account with $50 and deposit $25 every week. Mrs. Greene save $75 every week. How many weeks will Mrs. Greene have more money in her account than ms. Bracht?
A. 25x+75>50
B. 75x=25x+50
C. 75x>25x+50
D. 75x<25x+50
Answer:
C
Step-by-step explanation:
Ms. Barcht's savings account can be modeled with the expression
50 + 25x
Mrs. Greene's savings account can be modeled with the expression
75x
Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.
Mrs.Greene > Ms. Bracht
75x > 25x + 50
Answer:
The answer would be C. 75x>25x+50
Step-by-step explanation:
The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150
Hope this helps.
Which one is correct :)
Answer:
Top Left Again :D
Step-by-step explanation:
yes
Factor completely (x2 + x - 6)(2x2 + 4x)
Answer:
Eq 1) x^2 + x - 6
Factors are : x-2(x+3)
Eq 2) 2x^2 + 4x + 0
Factor out 2x
Factors are: 2x(x+2)
Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x
Step-by-step explanation:
What is the best solution to the equation 14x+15=7x44
A) infinite real solutions
B) exactly one real solution, x=4 1/2
C) exactly one real solution, x=29
D) no real solutions
Answer:
D
Step-by-step explanation:
B and C aren't correct
HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
24 games can be played for $20
Answer:
20 ≥ 8 + 0.50g
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
plz oh plz with a cherry on top help me with this because it is due tonight help me wind the two decimals plzzzzzzzzzzzzz
Answer:
7.1 and 7.2
Step-by-step explanation:
if you look on the number line 51 is in between what two numbers
Please help!!
what is the slope, y intercept, and equation for this?? I’ll give brainliest!!!!
Answer:
Slope: -1/3
y intercept: -2
CAN SOMEONE HELP ME WITH THIS PLEASE!!
Answer:
B
Step-by-step explanation:
the money increases hourly so A and C are wrong. and it is constant so the answer is B
ASAP PLZ HELP WILL MARK AS BRAINLSIT
Answer:
9
Step-by-step explanation:
18/2=9
The pattern below follows the rule, "starting with a value of 4, every
consecutive row has a value that is 2 less than twice the value of the previous
row."
Value
Row 1
4
Row 2
6
Row 3
10
What is the value for the 5th row?
A. 36
Ο Ο
O B. 66
O c. 34
O D. 20
SUBMIT
Answer:
C
Step-by-step explanation:
What is the yyy-intercept of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
(-1,0)(−1,0)left parenthesis, minus, 1, comma, 0, right parenthesis
(Choice B)
B
(0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis
(Choice C)
C
(5,0)(5,0)left parenthesis, 5, comma, 0, right parenthesis
(Choice D)
D
(0,5)(0,5)
Answer:
B.(0,-1)
Step-by-step explanation:
Answer:
B.(0,-1)
Step-by-step explanation:
i just got it right
**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?
Answer:
$88.3
Step-by-step explanation:
Here 42% of annual health premium($5450)=*5450
=$2289
This amount is being paid by the company means it is deducted amount in one year.
One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.
Deducted amount=
=$88.30
After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price
10x – 2 – 6x = 3x – 2 + x
A. one solution
B. no solutions
C. infinitely many solutions
Answer:
C
Step-by-step explanation:
4x-2=4x-2
when u simplify the equations you get 4x-2=4x-2 therefore they are the same line which results in infinitely many solutions.
(pls mark brainliest)
Answer:
there is one solution
Step-by-step explanation:
Is the equation proportional?
y = 2x + 6
Answer:
yep
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2x + 6 is equal