what’s the reciprocal of 5 4/9
Answer:
9/49
Step-by-step explanation:
5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49
Fifty-four percent of the students in your class have moved at least one
time. Write this percent as a decimal.
Answer:
0.54
Step-by-step explanation:
54 space 2 times is 0.54
Solve 6(x - 3) + 7 = -5.
The answer will be:- x = 1
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?
The values of a and b from the given complex numbers is 8 and -3 respectively.
The standard form of representing complex number is expressed as z = x + iy
Given the complex numbers z = 8 – 3i, and z2 = a + bi
To get the values of a and b, we need to compare both expressions as shown:
For the real part;
a = 8
For the imaginary part:
-3i = bi
-3 = b
Swap
b = -3
Hence the values of a and b from the given complex numbers is 8 and -3 respectively.
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a table is 60 cm in diameter. A tablecloth hangs 65cm all around. how much lace trim is needed to edge the cloth
The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.
The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:
= 60 cm + 2*65 cm
= 60 cm + 130 cm
= 190 cm
The diameter of the tablecloth required is 190 cm.
Thus to determine the circumference of the tablecloth, we have;
C = 2[tex]\pi[/tex]r
= [tex]\pi[/tex]D
where D is the diameter of the tablecloth.
C = [tex]\frac{22}{7}[/tex] x 190
= 597.1429
C = 597.1429 cm
Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.
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30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm
bob's tire outlet sold a record number of tires last month . one salesman sold 165 tires
which was 60% of the tires sold in the month what was the record number of tires sold
Answer: 275 tires
Step-by-step explanation:
0.60X = 165 [One salesman sold 60% of the tires sold. X is the tires total sold]
X = 275 tires
The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain Talisa’s error.
Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.
In the function:
The input is x, which is the number of minutes.The output is f(x), which is the cost of playing the game for x minutes.Talisa's expression is given by:
[tex]f(x) = 12x[/tex]
The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:
[tex]c = \frac{1}{12}[/tex]
And the correct expression for the cost is:
[tex]f(x) = \frac{x}{12}[/tex]
Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided 20 ctn 8 Citi 6 Cm 12 CITL 16 cm Drawing not to scale The two triangles above are similar a. Find x using the ratio of the sides 12 cm and 16 cm. 20 T 12 16 Show your work b. Find x using the ratio of the sides 6 cm and 8 cm Show your work C. Explain why the answers to (a) and (b) should be the same
Choose ALL of the transformations that have been applied to the linear function below.
()=−2−4
(It’s multiple choice)
1.Reflected over x-axis
2.Vertical stretched
3.Shifted down 4
4.None of the above
What is the slope of the line?
7x + 2y=5
A. 7/2
B. -7/2
C. -2/7
D. 2/7
Answer:
B) -7/2
Step-by-step explanation:
You would have to convert to slope-intercept form.
[tex]y=mx+b\\[/tex]
7x+2y=5
2y= -7x+5
y= -7/2x+5/2,
m= -7/2 = slope
(sin30° + cos30°) – (sin 60° + cos60°)
Answer:
0
Step-by-step explanation:
Sin 30° = ½
Cos 30° = √3/2
Sin 60° = √3/2
Cos 60° = ½
Therefore,
(½ + √3/2) - (√3/2 + ½)
[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]
[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]
[tex] \frac{0 - 0}{2} [/tex]
Answer: 0
For more information on trigonometric refer to this link
divide 81 ft in the ratio 5 :4
Answer:
Rr = 51 : 68
Step-by-step explanation:
What does a residual value of â€""0. 8 mean in reference to the line of best fit?.
Residuals are used to determine how the line of best fit relates to the data points
A residual value of -0.8 means, the point is 0.8 units above the line of best fit
The residual value is given as:
[tex]\mathbf{Residual = -0.8}[/tex]
When the residual value is less than 0 (i.e. negative), then the point is above the line of best fit.
So, the interpretation of a residual value of -0.8 is that, the point is 0.8 units above the line of best fit
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The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs. A monorail in one city has $69 million in operating costs per year, and uses $30 million from tax revenue.
To the nearest hundredth, what is the farebox recovery ratio for the city?
Answer:
0.57 or 0.56
Step-by-step explanation:
passenger fares + tax revenue = operating costs
Thus:
passenger fares = operating costs - tax revenue
= $69 million - $30 million
= $39 million
The ratio of passenger fares to total operating costs is:
$39 million
= 0.5652.
$69 million
To the nearest hundredth, the farebox recovery ratio is 0.57.
Find the value of z.
7
Х
3
Z
Z =✓[?
Applying the leg rule, the value of z in the right triangle given is: √30 units.
What is the Leg Rule?The leg rule states that, hypotenuse/leg = leg/part.
Given the following:
Leg = z unitsPart = 3 unitsHypotenuse = 3 + 7 = 10 unitsPlug in the values into the leg rule:
10/z = z/3
z² = (10)(3)
z² = 30
z = √30 units
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solve for x 10 points
3 1/5−1/4x=−4/5
3⅕ - ¼x = -⅘
-¼x = -⅘ - 3⅕
-¼x = -4 / · (-4)
x = 16
the radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?
Answer:
Step-by-step explanation:
Area of a circle = πr², plug in r= 3, we get:
A = π(3)²
A = 9π or 28.26 in³(if the π is calulate as 3.14)
When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answer:
Step-by-step explanation:
c sssDetermine if the statement is true or false.
Justify your response.
If one vertex of a slope triangle is at (0,0), the other vertex on the line will be the point that represents the simplified unit rate or slope
The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).
Explain about the Slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.
The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.
This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.
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What is the solution to the system of equations?
y = 2x -1
y = -x +5
x= −2 and y=3
I can't explain this very well, sorry.
How many times does 5 go into 604 with partial quotient divison
plzz help me asap no link for 30 points
Answer:
Liam's work is correct
Step-by-step explanation:
25 is a percent so should always write in fraction form
25/100
then you find what number multiply by 25 gives 150
which is 6, so you do the same on the bottom
which is 600
or 150 ÷ 25/100 which also gives 600
so 600 is the number
Which expressions are equivalent to 2^5 2^4? CHECK ALL THAT APPLY!!!
2^20
2.2^9
2^10 • 2²
2^-2 2^11
(2.2.2.2.2).(2.2.2.2)
Answer:
last option is correct
...................................
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
x<4
Step-by-step explanation: brainlieast plz
Evaluate the expression for p = 2.4 and q = 8.
Write your answer as a decimal or whole number.
pq =
Answer:19.2
Step-by-step explanation:
Answer:
19.2
Step-by-step explanation:
pq is the same as p x q.
then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number
7x-3y = 8
3x-4y = 1
solving this by using eliminination method.
Lucazz please solve this
Given pair of linear equations in two variables are :
7x-3y = 8------------(1)
3x-4y = 1-------------(2)
On multiplying (1) with 3 then
21x-9y = 24 ---------(3)
On multiplying with 7 then
21x-28y = 7 ----------(4)
On subtracting (4) from (3) then
21x-9y = 24
21x-28y = 7
(-) (+) (-)
__________
0+19y = 17
__________
→ 19y = 17
→ y = 17/19
On substituting the value of y in (2) then
→ 3x-4(17/19) = 1
→ 3x -(68/19) = 1
→ (57x-68)/19 = 1
→ 57x-68 = 1×19
→ 57x -68 = 19
→ 57x = 19+68
→ 57x = 87
→ x = 87/57
Therefore, the value of x and y is 87/57 and 17/19 respectively.
Express each ratio as a fraction in the simplest form:
8dm to 3.2 m and 0.3k to 500 m
Answer:
1/4, 3/5
Step-by-step explanation:
0.8/3.2=8/32=1/4
0.3/0.5=3/5
Complete the table shown to the right for the population growth model for a certain country.
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
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