Subtract 6 2/5- 1 1/4. Simplify the answer and write as a mixed number.
O 5 3/20
O 7 13/20
O 3/20
O 5 1/20
Answers
Answer:5 3/20
Step-by-step explanation:
6 8/20 - 1 5/20= 5 3/20
Related Questions
Standard form at for 900,000+50,000+9,000+600+20+7
Answers
Answer:
959,627
Step-by-step explanation:
Just add up all the numbers to make one whole number. An easy way of doing it by just adding on the non-zero digits onto 900,000.
Take the 5 from 50,000 and add it by the 9 in 900,000 to get 950,000. Do that for every other number until all the numbers are gone and you're left with 959,627.
the sum of two numbers is 20 and their difference is 6. what are the two numbers?
Answers
7+13=20
13-7=6
Answer:
13 and 7
Step-by-step explanation:
13 - 7 = 6
13 + 7 = 20
hope this helps...
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
Answers
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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pls help this is urgent! Graph the Solution to this inequality on the number line!
Answers
Answer: A. x <= -3
Step-by-step explanation:
First, let's begin by simplifying the inequality:
-4x >= 12 ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...
-4x / -4 <= 12 / -4 ← Simplify...
x <= -3
Now, we need to find the right number line representing this inequality.
There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.The number line that fits these criteria would be number line A.
The number line that represents the solution for the inequality -4x ≥ 12 is between the interval (-3 , -∞) .
What is number line?A number line is a representation of real numbers in the form of a graduated straight line. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point. Some will have a defined beginning and end point. These are known as closed number lines. Number lines can also be empty or blank.We now have
-4x ≥ 12
We have to divide both sides by -4
-4x/-4 ≥ 12/-4
x ≤ -3
Keep in mind that less change equals more change.
The interval (-3 , -∞) is the solution.
All real numbers that are lesser than -3
The shaded area to the right of the dashed line represents the solution to the inequality.
Therefore the number line of this solution will be option 1.
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its Z because it's on -3.5 and 4....its on the graph just look
Answers
Answer:
.,. uhh Where's the question?
Question 7 (1 point)
Anna wanted to bake cookies for Luke's birthday party. The recipe required 4 cups of
flour for every 1 cup of sugar. If Anna used 4 cups of sugar, how much flour did she
use?
(you may want to make a tape diagram to help solve for the answer)
20 cups of flour
4 cups of flour
16 cups of flour
Answers
Answer:
16 cups of flour
Step-by-step explanation:
step 1 - cups of flour-4, cups of sugar -4
therefore, multiply 4 and 4
= 4x4 =16
so she used 16 cups of flours
HAVE A GREAT DAY!
\(tanx^{2} -\frac{1}{3} =0\)
Answers
These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29
Trigonometry expression
These are expression written as a function of sine, cosine and tangent.
Given
tanx² - 1/3 = 0
Add 1/3 to both sides
tanx² - 1/3 + 1/3 = 0 + 1/3
tanx² = 1/3
x² = arctan(1/3)
x² = 18.44
x =4.29
Hence the value of x from the given function is 4.29
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NEED THE AGE OF HIDE
Situation: A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. N = Noe No = inital amount of C-14 (at time t = 0) N = amount of C-14 at time t k = 0.0001 t = time, in years
Answers
Answer:
54678 years
Step-by-step explanation:
The coefficient in the expression x + 7 is
Answers
the coefficient in the expression is x
For what value of A is the function, (x), continuous at x=0?
Answers
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1
(iii) h(0) = 1/7
The value of λ must be 7, for h(x) to be continuous at x = 0.
The given function is,
h(x) = 1/7, when x = 0
= 1 - 2 cos 2x, when x < π/2
= 1 + 2 cos 2x, when x > π/2
= x cos x/sin λx, when x < 0
Now,
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1
(iii) h(0) = 1/7
Since the function is continuous at x = 0, so
\(\lim_{x \to 0}\) h(x) = h(0)
\(\lim_{x \to 0}\) x cos x/sin λx = 1/7
\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7
1/λ = 1/7
λ = 7
Hence the value of λ must be 7.
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Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answers
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
Brainliest, 5 star, & thanks.
The coordinates of the vertices of △PQR are P(4, −2) , Q(6, −4) , and R(8, 0) .
The coordinates of the vertices of △P′Q′R′ are P′(−4, 3) , Q′(−6, 5) , and R′(−8, 1) .
Answers
help I give brainliest if u correct
Answers
Answer:
D is the answers for the question
Step-by-step explanation:
please give me brainlest and follow me
Answer:
d
Step-by-step explanation:
D is your answer
hope it's helpful for you
pls mark above guy ans as brainliest
Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
Answers
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
Answers
Answer:
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
2mx^2+x^2-2mx+5x+2m+1=0
3mx^2+5x+1=0
That's as far as you can get simplifying it.
Step-by-step explanation:
Simplify the expression.
Write your answer without negative exponents.
Answers
Answer:
((x^2)×(1/y^2))/(x×1/y)
=x×1/y=x/y
Let S be the universal set, wiere:
S= {1, 2, 3, ..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Set A=
= {1, 2, 3, 5, 7, 10, 11, 13, 18, 20}
Set B = {2, 4, 5, 6, 8, 11, 14, 15, 16, 17, 18, 19, 20}
Find the following:
LIST the elements in the set (A U B):
(AU B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (AN B):
(AN B) = {
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
Answers
A U B is the set containing all elements from both A and B:
A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20}
A ∩ B is the set containing all elements that are common to both A and B:
A ∩ B = {2, 5, 11, 18, 20}
Find the mass at time t=0. ANSWER HAS TO BE IN GRAMS
How much of the mass remains after 20 years?
Your answer HAS TO BE IN grams.
How long will it take for the sample to lose half of its mass?
Your answer has to be in years.
Answers
For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an equation for radioactive decay:
\(\rm m(t) = 400e^{-0.035t}\)
a) Plug t = 0
\(\rm m(0) = 400e^{-0.035\times 0}\)
m(0) = 400 grams
b) plug t = 20 years
\(\rm m(20) = 400e^{-0.035\times 20}\)
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
\(\rm 200 = 400e^{-0.035t}\)
x = 19.80 years ≈ 20 years
Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
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Solve 2x+8 <_ 10x or 2x + 8 > 20
Answers
Answer:
b
Step-by-step explanation:
How do you get from 10° to 10-¹?
Select the correct response:
Multiply by -10
Multiply by 10
Divide by -10
Divide by 10
Answers
If we divide \(10^{0}\) by 10 we will get our final result that is \(10^{-1}\).
Why is 10 to the power zero is 1?In other words, the multiplicative identity is 1, since 1*x = x for every other number x. Because any number to the power of zero is just the result of no other numbers at all, or the multiplicative identity, 1, any number to the power of zero must be one.
What is rule for power of 10?A power of 10 is the sum of all the tens that the exponent indicates. As a result, a power of 10 is represented in long form as the number 1 followed by n zeros, where n is the exponent and is bigger than 0; for instance, 106 is represented as 1,000,000.
\(\frac{10^{0} }{10}\\ = \frac{1}{10^{1} } \\=10^{-1}\)
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Felipe has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?
Answers
Answer: 20 different total voting combination
Step-by-step explanation: So we have 5 bands. Lets called them A, B, C, D, and E.
If John has to vote on his favorite and second favorite that means we will be selecting 2 bands out of the 5 possible to choose from.
To find the TOTAL amount of different combinations we need to pair up bands and find all the combo's.
Here are the results/totals:
AB
AC
AD
AE
BA
BC
BD
BE
CA
CB
CD
CE
DA
DB
DC
DE
EA
EB
EC
ED
So this is 20 different total voting combinations.
If you want to do it simpler without listing you can take the the 5 bands and multiple by 4 since you know each initial band (A, B, C, D, and E) will be paired with another band other than itself.
I'm using system of equations and I have to use either substitution or elimination. My two equations are
2x - 6y = 13
8x - 24y = 8
Answers
Can someone plz help me on this
Answers
Answer:
i don't know but I hope you find out good lucky
each letter in a box from left to right (first box has "a" & the second box has "d" & the third box has "b")
Finding a specified term of a geometric sequence given to terms of the sequence
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given parameters
\(\begin{gathered} a_6=ar^5=\frac{17}{625} \\ a_{11}=ar^{10}=-85 \\ where\text{ a is the first term and r is the common ratio} \end{gathered}\)STEP 2: Divide the two expressions to get the common ratio
\(\begin{gathered} \frac{a_{11}}{a_6}=\frac{ar^{10}}{ar^5}=-\frac{85}{\frac{17}{625}} \\ a\text{ cancels a} \\ r^{10-5}=-85\div\frac{17}{625} \\ r^5=-85\times\frac{625}{17}=-5\times625=-3125 \\ r=\sqrt[5]{-3125}=-5 \\ common-ratio=-5 \end{gathered}\)STEP 3: Get the first term
\(\begin{gathered} From\text{ equation in step 1,} \\ ar^5=\frac{17}{625} \\ By\text{ substitution,} \\ a(-5)^5=\frac{17}{625} \\ a\times-3125=\frac{17}{625} \\ Divide\text{ both sides by -3125} \\ a=\frac{17}{625}\div-3125=\frac{17}{625}\times\frac{1}{-3125} \\ a=-\frac{17}{1953125} \end{gathered}\)STEP 4: Calculate the 14th term
\(\begin{gathered} a_{14}=ar^{13} \\ a_{14}=-\frac{17}{1953125}\times-5^{13} \\ a_{14}=10625 \end{gathered}\)Hence, the 14th term is 10625
This diagram shows the blue prints a contractor drew for a ramp. In order for the ramp to meet safety regulations, the angle created by the bottom of the ramp and the ground should be no more than 18°.
How many degrees should the contractor lower the ramp by in order to meet safety regulations?
Enter your answer, rounded to the nearest tenth, in the box.
Answers
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
We have,
To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.
In the given triangle, the height is 6 ft and the base is 16 ft.
The angle we want to find is opposite the height (let's call it θ).
The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.
sin(θ) = opposite/hypotenuse
sin(θ) = 6/16
sin(θ) = 0.375
To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:
θ = arcsin(0.375)
θ ≈ 22.62°
To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:
22.62° - 18° ≈ 4.62°
Thus,
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
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I don’t know what to do
Answers
Answer:
G
Step-by-step explanation:
In quadrent 2, the x value is negative and the y value is postive.
Hope this helps.
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answers
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answers
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 3What is the slope of the line through the points (2, 8) and (5, 7)?
3
- 1/3
-3
1/3
Answers
Answer:
Option B
Step-by-step explanation:
In order to find the answer to this question you need to use the slope formula and solve by subtracting the numerator and the denominator.
\(slope=\frac{y^2-y1}{x^2-x^1}\)
\(x^1,x^2=(2,5)\)
\(y^2,y^1=(8,7)\)
Substitute:
\(\frac{8-7}{2-5}\)
Subtract:
\(8-7=1\)
\(2-5=-3\)
\(=\frac{-1}{3}\)
Hope this helps.