Answer:
Step-by-step explanation:
if 3 pairs of gloves cost 26.67
one pair will cost
26.67/3=8.89
Answer:
$8.89
Step-by-step explanation:
$26.67 / 3 = $8.89
Can you help me from 1 to 8 and tell me how you get the answers for each one of them please
Answer:
See below.
Step-by-step explanation:
1) 4x + 8 = 2x + 10
2x = 2
x = 1
2) 9y - 3 = 6y + 12
3y = 15
y = 5
3) 8m + 4 = 4m - 20
4m = -24
m = -6
4) 11z - 14 = 5z + 4
6z = 18
z = 3
5) 3q - 6 = 8q - 6
5q = 0
q = 0
6) 20n + 7 = 6n - 21
14n = -28
n = -2
7) 2w - 8 = 7w - 3
5w = -5
w = -1
8) 9k + 4 = k - 12
8k = -16
k = -2
what type of number is 0.27820?
Answer:
it'sba decimal number
Answer:
0.27820 is a rational number
HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6
Solve the following three equations
Answer:
2 sq rt 33
Step-by-step explanation:
1st step: subtract one, each side
(radical 2/3)r = 22
2nd step: set up a proportion
(radical 2/3)r = 22
3rd step: cross-multiply
radical 2*r = 66
4th step: solve for 'r'
r = 66 / radical 2
5th step: rationalize the denominator
multiply numerator and denominator by radical 2
6th step: simplify
(66[tex]\sqrt{2}[/tex]) / 2 = 33 [tex]\sqrt{2}[/tex]
if 3^-x=2 what does 3^2x equal?
Answer:
nice question...
so here we go
3^ -x = 1 / 3^x
so 1/ 3^x = 2 so 3^x = 1/2
we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)
recall that 3^x =1/2
so now according to question we have to find the value of 3^2x = 1/2 * 1/2 = 1/4
Step-by-step explanation:
The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Given that [tex]3^{-x}=2[/tex]
This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]
Cross multiply
[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]
Take the square root of both sides
[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]
The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Learn more here: https://brainly.com/question/16088078
Please help me with this!!!!
AYUDAAAAAAA!!!!!
¿Cuál es el resultado al resolver al siguiente ecuación lineal: - 3(2x + 8) = [6(4x+3)]/-5
Les doy 5 estrellitas por faaaaa
Answer:
Forma exacta:
x= −37/30
Forma decimal:
x=−1.23
Forma numérica mixta:
x=−17/30
1/2(x+4) plsss help!!!!!
Answer: 1/2x+2
Step-by-step explanation:
I just simplified
what is the value of log 9 81
The number [tex]\log_9(81)[/tex] means: which exponent we have to give to 9 in order to get 81?
Since [tex]81=9^2[/tex], the answer is 2.
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (5,-4); m = -1
Answer:
y + 4 = - (x - 5)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (5, - 4) , then
y - (- 4) = - 1 (x - 5) , that is
y + 4 = - (x - 5)
Answer:
[tex]y+4=-(x-5)[/tex]
Step-by-step explanation:
Point-slope form equation is written as:
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point which the line passes through so to to find the equation of line which passes through the point
(5 , -4) it means the point should satisfy the equation which furthermore means that the point lies on the lie so we can replace y1 with -4 and x1 with 5 and since we have m = -1 we can thus find b and rewrite the equation like this:
[tex]y-y_1=m(x-x1)\\y-(-4)=-1(x-5)\\y+4=-x+5[/tex]
since we need it point-slope form we leave it like this
[tex]y+4=-(x-5)[/tex]
3(-2x-1)=2(x+5)
the choices are
1.) -13/8
2.) -3/4
3.)13/8
4.) 3/4
Answer:
1) -13/8
Step-by-step explanation:
decimal form is -1.625
What does the word “is” mean In math
I hope this helps you.
Decide if the expressions in each pair are equivalent. Explain how you know.
x + x + x + x and 4x
5x and x + 5
Answer:
20x²+5x+5
Step-by-step explanation:
any more help just ask
The town of Apple Valley, California is at an elevation of 2,900 feet above sea level. Death Valley, California has an elevation of 282 feet below sea level. What is the difference in elevation of the two towns?
Answer:
The difference in elevation of the two towns is 3182 feet.
Step-by-step explanation:
Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.
Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.
Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.
Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.
Therefore, the difference in elevation of the two towns is 3182 feet.
Hope this helped!
52 points for answering this
Answer:
6314
Step-by-step explanation:
Answer: down and left and right and up
Step-by-step explanation:
HELP PLS PLS PLS LOOK AT THE IMAGE. ThANKS! :)
Answer:
56
Step-by-step explanation:
which statement is true about the solution ?
Answer:
There are no real solutions to this equation
Step-by-step explanation:
A store spends 1/4 of its income on salaries and 1/6 of its income on advertising. If the store pays $150,000 for salaries, how much does it spend on advertising? Be sure to explain your reasoning.
Answer:
$100,000
Step-by-step explanation:
Let the total income of the store = [tex]\$x[/tex]
Total spends on salaries = [tex]\frac{1}{4}[/tex] of total income
Total spends on advertising = [tex]\frac{1}{6}[/tex] of total income
Also, we are given that:
Total money paid as salaries = $150,000
To find:
Total spends on advertising ?
Solution:
As per question statement, we can write the following equation:
[tex]\dfrac{1}{4}x =\$150000\\\Rightarrow x =\$150000\times 4\\\Rightarrow x = \$600000[/tex]
Now, as per the given statement, total spends on advertising are:
[tex]\dfrac{1}{6}x =\dfrac{1}{6}\times 600000 = \bold{\$100,000 }[/tex]
Therefore, the answer is $100,000
You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books. How much money was spent on books?
Answer:
35 dollars
Step-by-step explanation:
10% is 5 dollars so 30% is 15. 50 - 15 = 35
Answer: thirty five dollars
Step-by-step explanation: if you spent 30% on other things you have 70% on books and that is 35 dollars
Dahlia noticed that her tomato plant grew new leaves at a steady rate, after the plant sprouted. She recorded the number of leaves on her plant on various days (see table) how many leaves should she expect on the 32nd day
Answer:
D; 85 leaves
Step-by-step explanation:
From what we can see, each 4 days there is a growth of an additional 9 leaves
So for the 20th day, we can see 58
The difference between the 20th and 32nd day is 12
The number of 4s we can see here is 12/4 = 3
For each 4, we can count extra 9 leaves
So for the 12, the number of leaves we can count is 3 * 9 = 27
we proceed to add this to 58
That will yield 58 + 27 = 85
It's c Bye bye have a amazing day
5,9,13...
Find the 31st term
Answer:
a(31) =125
Step-by-step explanation:
d=9-5=13-9=4
then it is an arithmetic sequence
a(n) = a1 +(n-1)d
a(n) = 5 +(n-1)4
a(31) = 5 +(31-1)4
=125
hope this helps
Problem 11-15 Using CAPM A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
the risk free rate of return is 4.86%
Step-by-step explanation:
The computation of the risk free rate is shown below;
As we know that
Expected return = Risk free rate of return + Beta × (Market rate of return - risk free rate of return)
10.5% = Risk free rate of return + 1.55 × (8.5% - Risk free rate of return)
10.5% = Risk free rate of return + 13.175% - 1.55 Risk free rate of return
10.5% - 13.175% = -0.55 risk free rate of return
-2.675% = -0.55 risk free rate of return
So, the risk free rate of return is
= 2.675% ÷ 0.55
= 4.86%
Hence, the risk free rate of return is 4.86%
2. What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)
Answer:
[tex]m=\frac{-5}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-2, 4)
Point D(1, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-1-4}{1+2}[/tex]Subtract/Add: [tex]m=\frac{-5}{3}[/tex]Solve: 6-x=4 (5+x) -4
A. x= -5
B. x= -2
C. There are infinitely many solutions
D. x= -10/3
Answer:
B
Step-by-step explanation:
Distributing the right side, the equation becomes
6-x=16+4x
Add x to both sides and subract 16
5x=-10
Divide by 5
x=-2
Finn read 43 pages of his book in an hour
and a half. How many minutes would it take
to read 135 pages?
135 /43 = 3.14
60 * 3.14 = 188.4 minutes
I. Is point (6;-2) solution for -4x-5y=32? Why? Show me the steps how are checking?
II. What is the slope of the line through (-4,1) and (-7,-5)? Write the formula and show me the
solution.
III. What is the slope of the line x=-7? Why?
IV. What is the slope of the line y=-6? Why?
V. What will be x and y intercepts for the given equation y= -2x+25? How will you find them?
VI. Write the equation of the line through (-3,8) and (-4,-9) points.
Answer:
I. The point (6, -2) is not a solution for the given equation
II. The slope of the line going through (-4, 1) and (-7, -5) is 2
III. The slope of the line x = -7 is ∞
IV The slope of the line y = -6 is 0
V. The coordinate of the x-intercept is (12.5, 0)
The coordinate of the y-intercept is (0, 25)
VI. The equation of the line is y = 17·x + 59
Step-by-step explanation:
I. The given equation is -4·x - 5·y = 32
The given point = (6, -2)
Therefore;
The x-coordinate value of the point = 6
The y-coordinate value of the point = -2
Plugging in the x and y-coordinate values into the given equation gives;
-4 × (6) - 5 × (-2) = -14 which does not correspond to the given equation, therefore, the point (6, -2) is not a solution for the given equation;
We can also show, by making y the subject of the formula of the given equation, weather the point is a solution of the given equation as follows;
-4·x - 5·y = 32
y = (-4/5)·x - 32/5
For x = -2, we have;
y = (-4/5) × (-2) - 32/5 = - 4.8
Therefore, the point (6, -2) where y = 6 when x = -2 is not a solution of -4·x - 5·y = 32
II. The slope of a straight line, given two points on the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where the two points are (-4, 1), and (-7, -5), we have;
x₁ = -4, y₁ = 1, x₂ = -7, and y₂ = -5
[tex]Slope, \, m =\dfrac{-5-1}{-7-(-4)} =2[/tex]
The slope, m, of the line going through (-4, 1) and (-7, -5) is m = 2
III. The slope of the line x = -7 = ∞ because, the difference in the x-value which is the denominator of the slope equation = 0 for all differences in the y-coordinate values
IV The slope of the line y = -6 is 0 because, the difference in the y-values which is the numerator of the slope equation = 0 for all differences in the x-coordinate values
V. The x and y-intercept of an equation is found by finding the values of the variable, x or y, in the equation, when the other variable, y or x is equal to zero respectively, which is given as follows;
The given equation is y = -2·x + 25
When y = 0, we have the x-intercept as 0 = -2·x + 25
∴ 2·x = 25
x = 25/2 = 12.5
Therefore, the coordinate of the x-intercept is (12.5, 0)
When x = 0, we have the x-intercept as y = -2·x + 25 = -2 × 0 + 25 = 25
The coordinate of the y-intercept is (0, 25)
VI. The general equation of a straight line is y = m·x + c
Where;
m = The slope of the line
c = The y-intercept
For the line that goes through the points (-3, 8) and (-4, -9), we have;
[tex]The \ slope, \, m =\dfrac{-9-8}{-4- (-3)} = \dfrac{-9-8}{-4+3} = 17[/tex]
The equation in point and slope form is y - 8 = 17 × (x - (-3))
∴ y = 17·x + 51 + 8 = 17·x + 59
The equation of the line is y = 17·x + 59
Please help me out.
Answer:
it's 4
Step-by-step explanation:
big brainnnnnnnnnn
8(4-x)=7x+2
what is the value of x?
Answer:
The answer is x=2
Step-by-step explanation:
8(4-x)=7x+2
32-8x=7x+2
-8x+32=7x+2
8x+32-7x=7x+2-7x
-15x+32=2
-15x+32-32=2-32
-15x=-30
-15x/-15=-30/-15
x=2
Answer:
2
Step-by-step explanation:
First, do the distributive property: 32-8x =7x+2
Next, get the variable to one side: 32-8x(-7x)=7x(-7x)+2
Then, subtract 32 from both sides to isolate the variable: -15x+32(-32)=2(-32)
Finally, we divide -30 by -15 : -15x= -30
x= 2
Circle theorems maths... Please help me!
Answer:
m = n = 14°
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended on the same arc.
angle at circumference = 0.5 × 98° = 49°, then
35° + m = 49° ( subtract 35° from both sides )
m = 14°
Angles subtended on the same arc are congruent.
m and n are 2 such angles, thus
n = m = 14°
PLEASE I NEED HELP
Enter in the missing numbers to create equivalent ratios.
Answer:
The table with the missing number
1 5
2 10
5 25
10 50
Step-by-step explanation:
The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers
From the given table, we will use the first row in all cases (a = 1 and c = 5)
∵ a = 1 and b = 2
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 2 × 5
∴ d = 10
∴ The first missing is 10
∵ a = 1
∵ c = 5 and d = 25
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]
→ By using the cross multiplication
∵ 5 × b = 1 × 25
∴ 5b = 25
→ Divide both sides by 5
∴ b = 5
∴ The second missing is 5
∵ a = 1 and b = 10
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 10 × 5
∴ d = 50
∴ The third missing is 50
∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]
The table with the missing numbers
1 5
2 10
5 25
10 50