Answer:
6
Step-by-step explanation:
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
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
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
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
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
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 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.
what type of number is 0.27820?
Answer:
it'sba decimal number
Answer:
0.27820 is a rational number
Please help me with this!!!!
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!
HELP PLS PLS PLS LOOK AT THE IMAGE. ThANKS! :)
Answer:
56
Step-by-step explanation:
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
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%
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]
Luis wants to buy a skateboard that usually sells for $79.76. All merchandise is
discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state
sales tax of 6.25%. Round your intermediate calculations and answer to the nearest
cent.
Answer:
$75.14 is the correct answer
Answer:
ert4tt45poti3905835049098534085983344533453
Step-by-step explanation:5
34534534353433434
5
3
5
3
45
3
543
354
3
53
4
53
5
34
5
44543
353
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
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
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°
52 points for answering this
Answer:
6314
Step-by-step explanation:
Answer: down and left and right and up
Step-by-step explanation:
For △PQR and △EFD shown, which of the following could be steps to show that the SSS congruence criteria follows from the definition of congruence in terms of rigid motion? Select two correct answers.
A.Translate EFD so that point F maps to point Q.
B. Rotate (Triangle)E'F'D' so that D' E maps to PR.
C. Reflect (Triangle) E"F"D" across PR so that E" F" maps to QR.
D. Translate (triangle) EFD so that point D maps to point P.
E. Rotate (triangle) E'F'D' so that D'F' maps to PQ.
Answer:
Letter B is the answer.
Step-by-step explanation:
B is the answer because you would want to rotate figure EFD to PQR, where line DE would line up with PR.
A is not correct because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.
C is not correct because it is only being reflected once and the line upon where it is being reflected wouldn't match up with the triangle PQR. EF would not be able to mapped onto line QR because of the line it is being reflected upon.
D is not correct for the same reason as A, which is because a translation would not line up the lines or points. Triangle DEF is facing in a different direction as PQR.
E gets close because of it being rotated, but it is incorrect since line DF wouldn't match up with line PQ. PQ is only congruent to line EF.
#teamtrees #WAP (Water And Plant)
Answer:
It is B and A
Step-by-step explanation:
I just took the test and got it right
Please help me out.
Answer:
it's 4
Step-by-step explanation:
big brainnnnnnnnnn
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]
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
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
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
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]What does the word “is” mean In math
I hope this helps you.
which statement is true about the solution ?
Answer:
There are no real solutions to this equation
Step-by-step explanation:
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