Answer:
k = 13Step-by-step explanation:
[tex]k - 4 \frac{3}{4} = 8 \frac{1}{4} [/tex]To solve first change the mixed number to an improper fraction
That's
[tex]4 \frac{3}{4} = \frac{19}{4} [/tex][tex]8 \frac{1}{4} = \frac{33}{4} [/tex]So we now have
[tex]k - \frac{19}{4} = \frac{33}{4} [/tex]Move the fraction to the right side of the equation
That's
[tex]k = \frac{33}{4} + \frac{19}{4} [/tex]Since they have the same denominator we can add them directly
We have
[tex] \frac{33}{4} + \frac{19}{4} = \frac{52}{4} = 13[/tex]we have the final answer as
k = 13Hope this helps you
this is my question
Answer:
299 and 45 if I am correct due to alternate angles and angles adding up to 360
Answer:
1)B+125=180
so,B=55
and x=B=55(alternate angles are equal)
2)a+136=180
so, a=44
3)2x+3x+x=180
or, 6x=18
so, x=3
I really stuck on this question can someone help me out? What rational number, when multiplied by an irrational number, has a product that is a rational number? a. 1/2 b. 1 c. 1/10 d. 0
Answer:
d. 0
Step-by-step explanation:
Given that:
A rational number is multiplied by a irrational number.
And the result is a rational number.
To find:
Such rational number wil be:
a. [tex]\frac{1}2[/tex]
b. 1
c. [tex]\frac{1}{10 }[/tex]
d. 0
Solution:
Let us consider the given options one by one.
Let the irrational number be = [tex]\pi[/tex]
Checking option a.
Multiply [tex]\pi[/tex] and [tex]\frac{1}2[/tex].
Result is: [tex]\frac{\pi}2[/tex] which is again irrational.
So, a. is not correct.
Checking option b.
Multiply [tex]\pi[/tex] and 1.
Result is: [tex]\pi[/tex] which is again irrational.
So, b. is not correct.
Checking option a.
Multiply [tex]\pi[/tex] and [tex]\frac{1}{10}[/tex].
Result is: [tex]\frac{\pi}{10}[/tex] which is again irrational.
So, c. is not correct.
Checking option d.
Multiply [tex]\pi[/tex] and 0.
Result is: 0 which is rational.
So, d. 0 is the correct answer.
What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4)
Answer:(-5,4)
Step-by-step explanation:
Just took the test on edge
Answer:
(-5,4)
Step-by-step explanation:
write each side of the equation as a single power.then write and solve an equation to find the value of n. show your work. 23^8.23n=23^5
Answer:
[tex]23^{n + 8} = 23^5[/tex].
n = -3.
Step-by-step explanation:
[tex]23^8 * 23^n = 23^5[/tex]
[tex]23^{n + 8} = 23^5[/tex]
Since both sides have the same base (23), we can solve for n.
n + 8 = 5
n = 5 - 8
n = -3.
Hope this helps!
Answer:
[tex]\huge \boxed{n=-3}[/tex]
Step-by-step explanation:
[tex]23^{8} \times 23^{n}=23^{5}[/tex]
[tex]\sf Apply \ rule : a^b \times a^c=a^{b+c}[/tex]
[tex]23^{8+n}=23^{5}[/tex]
[tex]\sf Apply \ rule : a^b=a^c \rightarrow b=c[/tex]
[tex]8+n=5[/tex]
[tex]\sf Subtract \ 8 \ from \ both \ sides.[/tex]
[tex]8+n-8=5-8[/tex]
[tex]n=-3[/tex]
Enter the solutions from least to greatest. -2x^2 -9=-107
Answer:
x = -7, 7
Step-by-step explanation:
Step 1: Write out equation
-2x² - 9 = -107
Step 2: Add 9 on both sides
-2x² = -98
Step 3: Divide both sides by -2
x² = 49
Step 4: Square root both sides
x = ±7
Step 5: Arrange
-7 < 7
So x = -7, 7
Use the equation below to find y, if m=5, x= 7, and b = 4.
y=mx+b
Answer:
y = 39Step-by-step explanation:
y=mx+b
m = 5
x = 7
b = 4
Substitute the values into the above expression and simplify to solve for y
That's
y = 5(7) + 4
y = 35 + 4
We have the final answer as
y = 39
Hope this helps you
Find the inverse f-1(x) for the function f(x).
6x + 3y = 24
Answer:
for the question x is 2 and y is 4
Step by step:
The graph of f(t) = 6.2" shows the value of a rare coin in year t. What is the
meaning of the y-intercept?
fit
10
A. When it was purchased (year 0), the coin was worth $2
B. Every year the coin is worth 6 more dollars.
C. When it was purchased (year 0), the coin was worth $6.
D. In year 1, the coin was worth $12
Answer:
C. When it was purchased (year 0), the coin was worth $6.
Step-by-step explanation:
The y-intercept is 6, indicating the value of the rare coin was 6 in year zero.
Please help me with my assignment. I need to past this tom :(
Answer:
Step-by-step explanation:
a. 128
b.148
c.178
d.167
e.295
Consider the exponential function f(x) = b^x, where b ≠ 1. Explain WHY the base has such a restriction.
If b = 1, then the function would be a straight line, f(x) = 1 which isn't exponential.
IF MN 13x-5, LM = 2x + 9, and NL = 36 – x, find the value of NL.
Answer:
i think it c
Step-by-step explanation:
Answer:
x = 2Step-by-step explanation:
let
LM = 2x + 9
MN = 13x-5
NL = 36 – x
find: x
LM + MN = LN2x + 9 + 13x - 5 = 36 – x2x + 13x + x = 36 - 9 + 516x = 32x = 32 / 16x = 2the area of a rectangular field is 18000m^2 if the ratio of length and breath is 5:4 find its perimeter
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{540 \: m}}}}}[/tex]
Step-by-step explanation:
Let the length and breadth be 5x and 4x respectively.
Area of rectangular field = 18000 m²
Finding the value of x
Area of rectangle = [tex] \sf{l \times b}[/tex]
Plug the values
⇒[tex] \sf{18000 = 5x \times 4x}[/tex]
Calculate the product
⇒[tex] \sf{18000 = 20 {x}^{2} }[/tex]
Swap the sides of the equation
⇒[tex] \sf{20 {x}^{2} = 18000}[/tex]
Divide both sides of the equation by 20
⇒[tex] \sf{ \frac{20 {x}^{2} }{20} = \frac{18000}{20} }[/tex]
Calculate
⇒[tex] \sf{ {x}^{2} = 900}[/tex]
Squaring on both sides
⇒[tex] \sf{x = 30}[/tex]
Replacing the value of x in order to find the value of length and breadth
Length = [tex] \sf{5x = 5 \times 30 = 150 \: m}[/tex]
Breadth = [tex] \sf{4x = 4 \times 30 = 120 \: m}[/tex]
Finding the perimeter of the rectangular field
Perimeter of rectangle = [tex] \sf{2(l + b)}[/tex]
plug the values
⇒[tex] \sf{2(150 + 120)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{300 + 240}[/tex]
Add the numbers
⇒[tex] \sf{540 \: m}[/tex]
Hope I helped !
Best regards!!
Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically charges
clients either less than $250 or more than $700. Which inequality represents x, the typical number of hours
worked?
75x + 100 < 250 or 75x + 100 > 700
100x + 75 < 250 or 100x + 75 > 700
250 < 75x + 100 < 700
250 < 100x + 75 < 700
Answer:
75x + 100 < 250 or75x + 100 > 700Step-by-step explanation:
This problem basically tests our understanding of representing word problems using inequalities and equations.
In the first instance, Lawrence can charge his client an amount that is less than $250, hence all terms to the right should not be greater $250 when executed.
Also, the second expression says that he can also charge more than $700 when hence all terms in the right-hand side should be greater than $700 when executed
Answer:
A
Step-by-step explanation:
1. Are there more inches in a mile or second in a day?
Answer:
Step-by-step explanation:
60 x 60 = 3600
3600 x 24
5280 x 12
I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.
The area of quadrilateral ABCD in the below figure is
(a) 57 cm
(b) 95 cm2
(c) 102 cm2
(d) 114 cm
Answer:
a)57
Step-by-step explanation:
Answer these questions:
* If the probability of passing an
examination is 0.8, what is the
probability of failing the examination
b If the probability that a girl wins a race is 0.6, what is the probability that she loses?
c if the probability that a pen does not write is 0.05, what is the probability that it writes
Answer:
a: 0.2
b: 0.4
c: 0.95
Step-by-step explanation:
the whole probability is 1, use 1 to subtract and you will find the answer
Liam spent $42 on 8 pounds of strawberries at $x per pound and a $15 bouquet of flowers. Write an equation that can be used to find the cost of one pound of strawberries.
Answer:
42=8x+15
Step-by-step explanation:
He spent a total of $42 and $15 of that $42 went to the flowers. It was $x per pound.
Which of the following describes the quotient of 4 and -28? A) The quotient is undefined. B) The quotient is an integer. C) The quotient is an irrational number. D) The quotient is a rational number.
Answer:
-1/7
Step-by-step explanation:
Divide the first expression by the second expression.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2. x > 17
3. x ≤ 7
4. a < 4
5. t ≥ -2
Step-by-step explanation:
simply
7(-3x+2)-11x+18
Answer:
-32x + 32
Step-by-step explanation:
7(-3x + 2) - 11x + 18
( -7 * 3x + 7 * 2) - 11x + 18
-21x + 14 - 11x + 18
-21x - 11x + 14 + 18
-32x + 32
What is the sum of 12 - and its additive inverse?
Hi
a number is additive inverse if the sum =0
so 0 as the additive inverse of 12 would be -12.
and the additive inverse of -12 is 12 (it works both ways)
The sum of number 12 and the additive inverse of 12 is given by the equation A = 12 - 12 = 0
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 equation be represented as A
Now , the value of A is
Let the number be n = 12
Now , the additive inverse of the number 12 = -12
So , the sum of 12 and -12 is given by the equation ,
A = 12 - 12
A = 0
Therefore , the value of A is 0
Hence , the sum of the two numbers is 0
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
3x + 1
8x – 24
Х
M
N
Ο Ν
Ο Χ
9
MN
MY
The length of XY is
HELP ME PLEASE
Answer:
The length of XY is 32
Step-by-step explanation:
Notice that you have a bisector segment (that divides the segment XY into two equal parts.
since these parts are equal, they must satisfy:
3 x + 1 = 8 x - 24
so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:
1 + 24 = 8 x - 3 x
25 = 5 x
then x = 25/5 = 5
then,now you can find the length of XY as the addition of both parts:
3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32
Which property is illustrated by the equation 3 (m n) = (3 m) n? HELP ME PLZ I NEED THIS THANK YOU
Answer:
Associative properties of multiplication
Please solve 4x = 24
Answer:
x is equal to six
Step-by-step explanation:
4 × 6 = 24
Answer: There is only one step to this equation. We will use inverse operations to isolate the x by dividing 4 on both sides. (4 is being multiplied by x, and the opposite of multiplication is division.)
4x/4 = x
24/4 = 6
The equation now looks like:
x = 6
x is equal to 6, so this is your answer.
Simplify: 108÷36 of 1/4 + 2/5 x 13/4
A) 123/10 B) 133/10 C)41/20 D) 123/20
Answer:
B
Step-by-step explanation:
soln
=108 ÷36×1/4+2/5×13/4
=108÷9+2/5×13/4
=12+2/5×13/4
=12+13/10
=133/10✅
Solve for r 0.5(r+2.75) = 3
Answer:
r+2.75=3÷0.5
r+2.75=6
r=6-2.75=3.25
Answer:
3.25
Step-by-step explanation:
It's the answer on Khan
Can someone help me find identify the range?
=====================================================
Explanation:
The idea is to plug in the smallest value of the domain, which is x = 1, to get
f(x) = -2x+5
f(1) = -2(1)+5
f(1) = 3
Showing that y = 3 is the largest value in the range. Any larger x value produces a smaller y value. Eg: x = 2 leads to f(2) = 1
So the range is the set of y values such that [tex]y \le 3[/tex] which converts to the interval notation [tex](-\infty, 3][/tex]. This is the interval from negative infinity to 3.
The square bracket says to include the endpoint while the curved parenthesis means we exclude the endpoint. We always exclude infinity as we can't ever reach it.
15 + 48 ÷ (–2) raised to power 4 *
Greetings from Brasil...
First we will solve the power:
(- 2)⁴ = (- 2)·(- 2)·(- 2)·(- 2) = + 16
rewriting our expression
15 + 48 ÷ (–2)⁴
15 + 48 ÷ 16
(the division / multiplication has priority over the addition / subtraction, so let's do the division first 48 ÷ 16 = 3)
15 + 3
18
If m BAC = 90°, and m DAC = 689,
then m BAD = [ ? ]°
Answer:
22 degrees
Step-by-step explanation:
90-68=22
i need help finding a solution to this equation: 5 (n-1/10)=1/2
Answer:
n = 1/5
Step-by-step explanation:
Let's solve your equation step-by-step.
5(n− 1 /10 )= 1/ 2
Step 1: Simplify both sides of the equation.
5(n− 1 /10 )= 1 /2
(5)(n)+(5)( −1 /10 )= 1/2
(Distribute)
5n + −1 /2 = 1 /2
Step 2: Add 1/2 to both sides.
5n + −1 /2 + 1 /2 = 1 /2 + 1 /2
5n=1
Step 3: Divide both sides by 5.
5n /5 = 1 /5
n= 1 /5