Answer:
a. 53/82
b. 13 7/8
c. 12 16/23
d. 8 1/2
e. 5 8/15
f. 10 1/2
g. 3 13/18
h. 1 39/40
Step-by-step explanation:
Step-by-step explanation:
a. 13/41 + 27/82
[tex]\frac{13}{41}+\frac{27}{82}[/tex]
[tex]\frac{13\times 82+27\times 41}{82\times 41}=\frac{53}{82}[/tex]
b. [tex]3\frac{5}{24} + 6\frac{7}{24} + 4\frac{9}{24}[/tex]
[tex]\frac{77}{24}+\frac{151}{24}+\frac{105}{24}[/tex]
[tex]\frac{77+151+105}{24}=\frac{333}{24}[/tex]
c) [tex]5\frac{2}{3} + \frac{29}{69} + 6 \frac{21}{23}[/tex]
[tex]\frac{17}{3}+\frac{29}{69} +\frac{159}{23}[/tex]
[tex]\frac{17\times 23}{3\times 23}+\frac{29}{69} +\frac{159\times 3}{23\times 3}[/tex]
[tex]\frac{17\times 23+29+159\times 3}{69}=\frac{897}{69}=\frac{13}{1}[/tex]
d) [tex]3\frac{9}{10} + \frac{4}{9} + \frac{7}{45} + 4[/tex]
[tex]\frac{39}{10} + \frac{4}{9} + \frac{7}{45} + \frac{4}{1}[/tex]
[tex]\frac{39}{10} +\frac{4\times 10}{1\times 10}+\frac{4\times 5}{9\times 5} + \frac{7}{45}[/tex]
[tex]\frac{39+1\times 10}{10}+ +\frac{4\times 5+7}{45}[/tex]
[tex]\frac{49}{10}+\frac{27}{45}[/tex]
[tex]\frac{49\times 45+27\times 10}{10\times 45}=\frac{11}{2}[/tex]
e)[tex]6-\frac{7}{15}[/tex]
[tex]\frac{6}{1}--\frac{7}{15}[/tex]
[tex]\frac{6\times 15-7\times 1}{1\times 15}=\frac{83}{15}[/tex]
f)[tex]11\frac{3}{8} - \frac{7}{8}[/tex]
[tex]\frac{91}{8}- \frac{7}{8}[/tex]
[tex]\frac{91-7}{8}=\frac{84}{8}=\frac{21}{2}[/tex]
g)[tex]7 \frac{1}{6} - 3\frac{4}{9}[/tex]
[tex]\frac{43}{6}-\frac{41}{9}[/tex]
[tex]\frac{43\times 9-41\times 6}{54}[/tex]
[tex]=\frac{141}{54}=\frac{47}{18}[/tex]
h)[tex]5\frac{3}{8}-3\frac{2}{5}[/tex]
[tex]\frac{43}{8}-\frac{17}{5}[/tex]
[tex]\frac{43\times 5-17\times 8}{8\times 5}=\frac{79}{40}[/tex]
5k - 7 > 5k + 8
guys I really need help!!
Answer:
Step-by-step explanation:
For h(x) = x - 5, find the value of x for which h(x) = -7.
Answer:
x=2
Step-by-step explanation:
2x+1=5
2x+1−1=5−1
2x+0=4
2x=4
2x2=42
2
x2
=2
x=2
To find the value of 'x' for h(x) = -7 in the function h(x) = x - 5, you would solve the equation for 'x' which results in x = -2.
Explanation:To find the value of 'x' when h(x) = -7 for the function h(x) = x - 5, you have to solve the equation for 'x'. This involves setting the function equal to -7, and then solving for x. Here are the steps:
Set up the equation: h(x) = -7 => x - 5 = -7 Add 5 to both sides of the equation to isolate the variable 'x': x = -7 + 5 Solve the equation: x = -2
So, the value of x for which h(x) = -7 in the function h(x) = x - 5 is -2.
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solve the inequality 18-5z+6z>3+6
Circle Q is shown. Secant L N and tangent P N intersect at point N outside of the circle. Secant L N intersects the circle at point M. Arc M P is y, arc L P is x, and arc M L is z.
Which equation is correct regarding the measure of ∠MNP?
m∠MNP = One-half(x – y)
m∠MNP = One-half(x + y)
m∠MNP = One-half(z + y)
m∠MNP = One-half(z – y)
Answer: FIRST OPTION.
Step-by-step explanation:
By definition, the "Angle formed by a Tangent and a Secant" is:
[tex]Angle\ formed\ by\ Tangent\ and\ Secant=\frac{1}{2}({Difference\ of\ Intercepted\ Arcs)[/tex]
In this case you can identify in the figure that the Intercepted Arcs are:
[tex]LP=x[/tex] and [tex]PM=y[/tex]
And the Angle formed by the tangent and the secant is:
[tex]\angle MNP[/tex]
Therefore, the following equation can be used to calculate the measure of the angle ∠MNP:
[tex]m\angle MNP=\frac{1}{2}(LP-PM)\\\\m\angle MNP=\frac{1}{2}(x-y)[/tex]
This matches with the First option.
Answer:
A.
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
If KM bisects JKL, m JKL = 92, and MKL = (5x+1), find the value of x.
Answer:
x = 9
Step-by-step explanation:
The trick here is knowing that JKM and MKL are equal, which means MKL is equal to JKL/2. From that knowledge, we can solve.
MKL = JKL/2
5x + 1 = 46
5x = 45
x = 9
The value of the x is 9 if KM bisects JKL, m JKL = 92, and MKL = (5x+1).
Since KM bisects JKL, it divides the angle JKL into two congruent angles. Therefore, angle MKL is equal to angle JKL divided by 2.
Given that angle JKL is 92 degrees, we can find the value of x by setting up the following equation:
5x + 1 = 92/2
First, we simplify the right side of the equation:
92/2 = 46
Now, we can solve for x:
5x + 1 = 46
5x = 46 - 1
5x = 45
x = 45/5
x = 9
Therefore, the value of x is 9.
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a television with a 5:4 screen shows an image with a ratio of 20:12 which creates a letter boxed image. What percent of the screen area is occupied
Answer: [tex]75\%[/tex]
Step-by-step explanation:
You know that the ratio of the television's screen is [tex]5:4[/tex] . This ratio can be also written as the following fraction:
[tex]\frac{5}{4}[/tex]
The television shows an image with a ratio of [tex]20:12[/tex] which can be also written as a fraction:
[tex]\frac{20}{12}[/tex]
Set up the following proportion and solve for "x":
[tex]\frac{20}{x}=\frac{5}{4}\\\\x=\frac{4*20}{5}\\\\x=16[/tex]
Now, in order to find the percent of the screen area occupied make the following division:
[tex]\% occupied=\frac{12}{16}*100=75\%[/tex]
Verbal expression for 3n-2
Answer:
three times a number n reduced by two.
What is the solution to this equation?
7x – 3(х – 6) = 30
A.x= 12
B.х = 6
C. х = 3
D. x= 9û
Answer:
x = 3
Step-by-step explanation:
[tex]7x-3(x+6)=30[/tex]
Isolate the variable by dividing each side by factors that don't contain the variable.
Please answer with a detailed explanation. Thank you!
Answer:
This answer is 8
Step-by-step explanation:
It actually is very simple. For this question you do not even need the g(x) equation to continue, so put it aside for now. F(x) means that whatever number that will take the place of x will be used in this equation. If f(x)=3x-1, then f(3)=3(3)-1
This happens because the 3 in f(3 tells you to substitute x for 3 in the equation. ) So just plug in 3 for x and solve to get the answer 8.
Answer:
This answer is 8
Step-by-step explanation:
is 3 power of 2 a rational,integer whole number or real
Answer:
All four sets of numbers
Step-by-step explanation:
3 to the power of 2 is 9. real numbers are all numbers, whole numbers are the counting numbers plus zero, integers are whole numbers with their opposites ( 3 and -3), rational numbers are any numbers that can be written as a fraction, or is a decimal with an end or a repeated pattern to it.
last question of my homework pls <3
Answer:
J(2, 5 )
Step-by-step explanation:
Using the section formula
[tex]x_{J}[/tex] = [tex]\frac{1(-2)+2(4)}{2+1}[/tex] = [tex]\frac{-2+8}{3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
[tex]y_{J}[/tex] = [tex]\frac{1(1)+2(7)}{2+1}[/tex] = [tex]\frac{1+14}{3}[/tex] = [tex]\frac{15}{3}[/tex] = 5
Thus J = (2, 5 )
What is the relationship between the independent and dependent variable?
Answer: Direct proportion because as the time goes up the distance goes up
6(k-5)<-6, solve for k
Answer:
k > 4
Step-by-step explanation:
Answer:
k< 4
Step-by-step explanation:
6(k-5)<-6
divid by : 6 (k-5)<-1
add : 5 k<-1+5
k< 4
This box holds 4 crates of eggs each holds 6 dozen eggs how many eggs are in a eggs are in the box when it is full.
Each crate holds 6 dozen eggs.
1 dozen = 12 eggs.
Multiply 12 by 6 to get the total number of eggs per crate:
6 x 12 = 72 eggs per crate.
The box holds 4 crates, multiply the number of each in a crate by the number of crates:
72 eggs x 4 crates = 288 total eggs.
The value of the 6 in 5426.37 is 1/10 of the value of the 6 in which number
A. 4643.92
B. 6129.83
C. 2371.67
D. 1565.44
Answer:
D
Step-by-step explanation:
the value of 6 in 5426.37 is 6 which is 1/10 of 60 so the answer is 1565.44
Which number line best represents the solution set for the inequality 3(8-4x)<6(x-5)
- Dareonna went to get a no-chip manicure. Usually it cost $50 but there is a special going on today
and it is half off. How much will she pay to get her nails done today?
Answer:
$25
Step-by-step explanation:
because of the special sale going on, and the price being half off. You only need to divide the cost by 2.
50 ÷ 2 = 25
A driveway is in the shape of a rectangle 3.0 meters wide by 5.0 meters long. What is its perimeter?
Answer: I believe the answer is 18 meters
Step-by-step explanation:
Answer:
The perimeter would be 16.
Step-by-step explanation:
3.0+3.0=6
5.0+5.0=10
10+6=16
Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?
Answer:
The cost of one bag of diapers is $11 and the cost of one can of formula is $13
Step-by-step explanation:
Let
x -----> the cost of one bag of diapers
y ----> the cost of one can of formula
we know that
[tex]x+2y=37[/tex] -----> equation A
[tex]2x+5y=87[/tex] ----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (11,13)
see the attached figure
therefore
The cost of one bag of diapers is $11 and the cost of one can of formula is $13
Final answer:
The cost of one bag of diapers is $11, and the cost of one can of formula is $13, as determined by solving a system of two linear equations that describe Malik's purchases.
Explanation:
The student is presented with a system of linear equations based on the purchases made by Malik at different times. The purchases involve a bag of diapers and cans of formula, with the total amounts spent being provided. This information can be turned into a system of equations to solve for the price of one bag of diapers and the price of one can of formula.
Let D represent the cost of one bag of diapers and F represent the cost of one can of formula. From the given information, we can construct the following equations:
D + 2F = $37 (Equation 1: One bag of diapers and two cans of formula cost $37)
2D + 5F = $87 (Equation 2: Two bags of diapers and five cans of formula cost $87)
Now, let's solve this system of equations using the method of substitution or elimination. For simplicity, let's use the elimination method:
Multiply Equation 1 by 2, so it can be arranged to eliminate D:
2D + 4F = $74
Subtract Equation 1 modified from Equation 2:
(2D + 5F) - (2D + 4F) = $87 - $74,
which simplifies to F = $13.
Now plug the value of F back into Equation 1:
D + 2($13) = $37,
D + $26 = $37,
therefore D = $37 - $26,
D = $11.
Therefore, the cost of a bag of diapers is $11, and the cost of one can of formula is $13.
what's the slope intercept for (-4,-7) and (-6,9)
Answer:
[tex]y = -8x - 39[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{7 + 9}{4 - 6} = -\frac{16}{2} = -8[/tex]
Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:
y - y₁ = m(x - x₁)
y - 9 = -8(x + 6)
y - 9 = -8x - 48
+ 9 + 9
______________
y = -8x - 39
__________________________________________________________
y + 7 = -8(x + 4)
y + 7 = -8x - 32
- 7 - 7
______________
y = -8x - 39
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Use the given D to find the range of each function: a f(x)=3x−5, D={−1, 0, 3}
Answer:
Given the domain D = {-1, 0, 3}, the range of f(x) = 3x - 5, is {-8, -5, 4}.
Step-by-step explanation:
To find the range you have to replace the values indicated by the domain in the function (range refers to "y" values of the function).
f(-1) = -8
f(0) = -5
f(3) = 4.
So the range for the given domain is {-8, -5, 4}.
Answer: The required range of the given function is {-8, -5, 4}.
Step-by-step explanation: We are given to find the range of the following function :
[tex]f(x)=3x-5,~~D=\{-1,0,3\}.[/tex]
Since the domain D contains points -1, 0 and 3, so the range will be the following set :
{f(-1), f(0), f(3)}.
We have
[tex]f(-1)=3(-1)-5=-3-5=-8,\\\\f(0)=3\times0-5=-5,\\\\f(3)=3\times3-5=4.[/tex]
Thus, the required range of the given function is {-8, -5, 4}.
How do you solve |x-4| is less than or equal to 2?
Answer:
|x - 4| ≤ 2
-2 ≤ x - 4 ≤ 2
2 ≤ x ≤ 6
is 0.9 repeating a rational or irrational number
Answer:
rational
Step-by-step explanation:
it is rational
a rational number is that which is non-terminating (a number which cannot be terminated) and repeating . So 0.99999…. aquires both repeating and non-terminating property . Hence it is a rational number .
What is 7ab(2a+4b-6)
Answer:
[tex]14a^{2}b[/tex] + [tex]28ab^{2}[/tex] - 42ab
Step-by-step explanation:
The expression 7ab(2a+4b-6) simplifies as 14a^2b + 28ab^2 - 42ab by distributing 7ab to each number within the parentheses.
Explanation:This question involves distribution which is a property in Mathematics. To simplify the expression
7ab(2a+4b-6), you need to distribute or multiply 7ab with each number within the parentheses. When we do this step-by-step:
7ab times 2a = 14a2b7ab times 4b = 28ab27ab times -6 = -42abSo, the expression 7ab(2a+4b-6) simplifies as 14a2b + 28ab2 - 42ab.
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Darelene has 3/4 lb. of almonds. She needs to share it equally among 6 freinds. How many will each freind be given ( please show step by step explanation)
Answer:
1/8 lb. of almonds for each of her 6 friends
Step-by-step explanation:
So i'm doing this in school too. This is how I would do it.
She has 3/4 lb. of almonds, and she needs to split it with 6 friends.
So what you would do is do 3/4 ÷ 6/1
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply. Cancelling by a common factor of 3 gives 1 /8.
I hope this helps!
A reasonable estimate for 597 x 52 is
Answer: 30,000
Step-by-step explanation: Round 597 to nearest hundred and 52 to nearest ten.
Final answer:
To estimate 597 x 52, round 597 to 600 and 52 to 50, then multiply to get 600 x 50 = 30,000. Therefore, a reasonable estimate is 30,000.
Explanation:
The student has asked for a reasonable estimate for 597 x 52. To provide an estimate, we can round numbers to simplify the multiplication. In this case, we can round 597 to 600 and 52 to 50. Now, let's multiply these rounded numbers.
First, multiply 6 by 50, which equals 300.Then, since we rounded up to the hundreds, we recall that 600 is 10 times greater than 60, so we must multiply 300 by 10, which equals 3000.Therefore, a reasonable estimate for 597 x 52 is 30,000.
Round 10.213 to the nearest whole number.
Answer:
10.2
Step-by-step explanation:
remove .13 from there
Answer:10
Step-by-step explanation:
10.213
10.(2)13
if it smaller than 5 you round down
if its larger than 5 you round up
if 3 pizzas serve 12 people, how many pizzas are needed for a pizza party with 68 people
Answer:
17
Step-by-step explanation:
if 3 pizzas serve 12 people then 17 pizzas can serve 68 people.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 3 pizzas serve 12 people.
Assuming y = kx.
12 = 3k.
k = 4.
Now,
68 = 4x.
x = 17
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HELP ASAP PLZ !! Is triangle MNP a dilation of triangle JKL? Explain why or why not.
To confirm if triangle MNP is a dilation of triangle JKL, one must examine the ratios of the corresponding sides. In a dilation, a figure's size changes but its shape and the angles between its sides remain the same, and the lengths of the sides remain proportional. Without the specific measurements, it's not possible to definitively say if MNP is indeed a dilation of JKL.
Explanation:To determine if triangle MNP is a dilation of triangle JKL, we need to examine the ratios of the corresponding sides. Dilation in mathematics is a transformation that alters the size of a figure without changing its shape or the angles between its sides. In a dilation, the lengths of the sides are proportional.
For example, if triangle MNP has sides that are twice as long as the corresponding sides of triangle JKL, then MNP is a dilation of JKL by a factor of 2.
If the sides of triangle MNP do not maintain the same proportionality with triangle JKL, then triangle MNP is not a dilation of triangle JKL. Therefore, without concrete values or further details, it's difficult to definitively answer whether MNP is a dilation of JKL.
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You are on a hockey team your time on the ice is 12 minutes per game per season is 20 games how many minutes do you play during the season