following a mixed number [tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex] , we get [tex]16 \frac{3}{8}[/tex]
According to the question, given that
Mixed numbers
[tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex]
⇒ [tex]\frac{87}{8} + (\frac{25}{2} - 7 )[/tex]
⇒ [tex]\frac{87}{8} + \frac{25}{2} - 7[/tex]
⇒ [tex]\frac{87 + 100 - 56}{8}[/tex]
⇒ [tex]\frac{131}{8}[/tex]
⇒ [tex]16 \frac{3}{8}[/tex]
Therefore, after solving a mixed number [tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex] , we get [tex]16 \frac{3}{8}[/tex]
A whole number plus a proper fraction are combined to form a mixed number. Mixed numbers, commonly referred to as mixed fractions, make it easier for us to comprehend numbers.
A whole number and a legal fraction make up a mixed number. A mixed number like [tex]3\frac{1}{4}[/tex] is one where 1/4 is the correct fraction and 3 is the whole number portion. It should be emphasized that once mixed numbers are transformed into an incorrect fraction, they are simple to add, subtract, multiply, and divide.
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Yannick bought a bicycle. He paid $194.25, including tax. If the sales tax rate is 5%, how many dollars did Yannick pay for tax?
Yannick paid $9.25 as sales tax on the bicycle.
Here, we are given that Yannick bought a bicycle and paid $194.25 for it, including tax.
Let the cost of the bicycle without tax be x
We are given that the rate of sales tax is 5%
Thus, the amount of tax on bicycle will be-
5% of x
= (5/100)*x
= 0.05x
Thus, we can form an equation as follows-
x + 0.05x = 194.25
1.05x = 194.25
x = 194.25/ 1.05
x = 185
Thus, the cost of bicycle without tax is 185
Therefore, the tax paid will be-
0.05x
= 0.05*185
= 9.25
Thus, Yannick paid $9.25 as sales tax on the bicycle.
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what is the equation is x+9<2
Answer: Look at image
Step-by-step explanation: Look at image
[tex]x+9 < 2[/tex]
Subtract 9 from both sides:
[tex]x+9-9 < 2-9[/tex]
[tex]x < -7[/tex]
What is the equation of the line that passes through the point (−2,−6) and has a slope of -1/2
Sipho buys peanuts in bulk at r5 per kg and sells them in 100g packets for r1 each .his aunt owns a packaging business and supplies sipho with free packets for packaging the peanuts .write sipho profit as a. a rate per kg b. a rate per 100g packet c.calculate the percentage profit that sipho makes on his peanuts
Answer:
the percentage is 100g divided by 5 to get 20
Answer:
Step-by-step explanation: a rate per 100 g packet
Solve for x: 1 < x + 3 < 4
[tex]1 - 3 < x < 4 - 3 \\ - 2 < x < 1[/tex]
WHAT YOU DO ON OTHER SIDE OF THE INEQUALITY YOU HAVE TO DO IT ON EVERY SIDE TO BALANCE THE INEQUALITY
GOODLUCK.
please help tomorrow is my exam
The radius of the pond is found to be 17.32m.
What is angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
Given;
Length of the pole above= 30m
Angle of elevation = 60°
From the given information we can draw the diagram as the pole becomes the opposite of the angle of elevation and radius becomes the base.
Therefore,
Opposite / Base = tan 60°
=> base = 30 / √3
=> base = 17.32m
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y = 3/2x - 2
m = Type here
b = Type here
Answer:
y = mx + b
y = 3/2x - 2
m = 3/2
b = -2
please help me with this please
Answer:
Slope-intercept form: y = 9/4x - 53/4
Point-slope form: y + 2 = 9/4(x - 5)
heyya can anyone help me w this?
In the given figure,
line a is parallel to line b,
Therefore,
∠1 + ∠90° = 180° ............... (Since they are Linear pairs)
⇒ ∠1 = 90°
∠1 = ∠3 and ∠2 = ∠90°............. (Vertically opposite angles)
⇒ ∠1 = ∠3 = ∠2 = ∠90°
∠2 = ∠4 and ∠3 = ∠5 ................ (Alternate interior angles)
⇒ ∠4 = ∠5 = ∠90°
∠4 = ∠6 and ∠5 = ∠7 ............. (Vertically opposite angles)
⇒ ∠6 = ∠7 = ∠90°
So,
∠1 = ∠2 = ∠3 = ∠4 = ∠5 =∠6 = ∠7 = 90°
What is a transversal?A transversal in geometry is a line that, at two different places, traverses two lines in the same plane. If two or more additional lines in the Euclidean plane are parallel, transversals can help determine this. Numerous pairs of angles, including successive interior and exterior, matching, and alternating angles, can be formed when a transversal intersects two lines.Euclid's parallel postulate states that if two lines are parallel, then corresponding angles are equal, alternate angles are equal, and subsequent inner angles are supplementary.Menelaus' theorem is satisfied by the lengths of the six segments produced when three lines in general position that form a triangle are cut by a transversal.In higher dimensional spaces, the transversal of a set of lines is a line that crosses each of the other lines in a unique location. Transversals are not always present for sets of more than two lines, in contrast to the two-dimensional (plane) situation.To learn more about Transversal, refer to:
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At 59°F, crickets chirp at a rate of 76 times per minute, and at 65°F, they chirp-100 times per minute. Whats the input
We have a relationship between temperature and chirp rate, such that the input in this case is the temperature.
What is the input?
We define a relation as an operator that maps elements from one set (the domain, set of the inputs) into elements of another set (the range, set of the outputs).
Particularly, the relations are written as:
x → y
Where y is the output and x is the input.
In this case, we have two pairs of the relation, these are:
At 59° F, the chirp rate is 76 times per min.At 65° F, the chirp rate is 100 times per min.So we are giving the temperature as the input, and the output is the chirp rate of the crickets at that particular temperature.
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A baby weights 7 1/8 pounds at birth. After 4 months the baby weighs 15 2/3 pounds. How much weight did the baby gain
Answer: = 8.54166666667
Step-by-step explanation:
15 2/3 - 7 1/8
which of the following transformation carry the given regular polygon onto itself
The required transformation of the regular polygon to onto itself is a rotation by the angle of 360° around its own center or any point in the plane.
Given that,
To determine which transformation carries the given regular polygon onto itself.
Here,
According to the question as asked.
There are only 2 usual possible ways of transforming a regular polygon that will onto itself as,
(1) A perfect rotation of 360° around its own center.
(2) A rotation of 360° around any point in the space and plane containing the regular polygon.
Thus, the required transformation of the regular polygon to onto itself is a rotation by the angle of 360° around its own center or any point in the plane.
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Brock rides his bike 22 1/8 miles to the nature preserve. On his way home, after 16 1/5 miles, he stops at a deli for lunch. How far is Brock from home?
Write and then evaluate an addition expression to solve the problem.
Brock is at a distance of 621/40 miles away from home.
Here, we are given that Brock rides his bike 22 1/8 miles to the nature preserve.
This means that he is now 22 1/8 miles away from his home. Now, he starts on his way home and after 16 1/5 miles, he stops at a deli for lunch.
Thus, he is now 22 1/8 - 16 1/5 miles away from his home.
To subtract the fractions we need to convert the mixed fractions into improper fractions, which can be done as follows-
22 1/8 = (22*8 + 1)/8
= 177/8
and 16 1/5 = (16*5 + 1)/5
= 33/5
Thus, the expression becomes-
177/8 - 33/5
now, we need to make the denominators of each fraction so that we can subtract them.
= (177*5)/40 - (33*8)/40
= 885/40 - 264/40
= 621/40
Thus, Brock is at a distance of 621/40 miles away from home.
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First derivative of f(x) = (5x + 3)^3
Answer:
f'(x) = 15(5x + 3)²
Step-by-step explanation:
using the chain rule to differentiate
f(x) = g(h(x) , then
f'(x) = g'(x) × h'(x)
f(x) = (5x + 3)³
f'(x) = 3(5x + 3)² × [tex]\frac{d}{dx}[/tex] (5x + 3)
= 3(5x + 3)² × 5
= 15(5x + 3)²
Which point lies on the line with a slope of m = ⅔ that passes through the point (-3, -2)?
Answer:
Step-by-step explanation: you would use point form slope in the equation and plug it in like this
y+2= 2/3(x+3)
y+2=2/3x+2
y= 2/3x
and whatever point goes through this line is your answer
Remember the y-intercept is 0!
(6.18 × 10¯¹) (8.7 x 10²)
Answer:
(6.18 × 10¯¹)=(0.618) (8.7 x 10²)=(870) so 0.618+870 is 870.618
Step-by-step explanation:
what is 220/275 simplified?
Answer:
4/5, 0.8 decimal form
Step-by-step explanation:
Hope this helps
Solve the inequality.
4x + 2 <2
5
x≤ [?]
Enter the number that belongs in the
green box.
Enter
The solution of the inequality in the variable x <0.
Any monotonically rising function can, by definition, be applied to both sides of an inequality without violating the asymmetry connection (provided that both expressions are in the domain of that function). The inequality relation is flipped when a monotonically decreasing function is applied to both sides of an inequality. In the criteria for the basic inverse and the multiplicative inverse for positive values, a monotonically decaying function is utilized.
The given inequality is
4x + 2 <2
subtracting 2 from both sides
4x+2-2<2-2
or,4x < 0
or, x < 0
If the inequality is strict (a< b, a > b) and the function is strictly monotonic, the inequality remains strict. If only one of the preceding conditions is met, the ensuing imbalance does not exist. Indeed, the rules for addition and multiplicative exponentiation use a monotonically decreasing function.
Hence the solution of the inequality in the variable x <0.
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Solve x² - 2x - 23= 0, giving your answers correct to one decimal places
Answer:
x ≈ - 3.9 , x ≈ 5.9
Step-by-step explanation:
x² - 2x - 23 = 0 ( add 23 to both sides )
x² - 2x = 23
using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = 23 + 1
(x - 1)² = 24 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{24}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{24}[/tex]
then
x = 1 - [tex]\sqrt{24}[/tex] ≈ - 3.9 ( to 1 dec. place )
x = 1 + [tex]\sqrt{24}[/tex] ≈ 5.9 ( to 1 dec. place )
Find the average rate of change
The average rate of change is D. 2.
What is the average rate of change?The average rate of change simply means the measure of how the function will change let unit of time.
In this case, it is important to look at the input and the output that wee given. It can seen that the difference between the output is given as:
13 - 11 = 2
15 - 13 = 2
In this case, the average change is 2.
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Please i need help :(
Answer:
< 3 = 90°, < 8 = 43° and < 4 = 146°
Step-by-step explanation:
Since < 1 and < 3 are on the same straight line, < 3 = 180° - 90°.
Since < 6 = 137° and < 6 and < 8 are on the same straight line, < 8 = 180° - 137° = 43°.
Since < 2 = 34° and < 2 and < 4 are on the same straight line, < 4 = 180° - 34° = 146°.
There are 60 in one hour.How many minutes are in 1 1/4 hours ?
Answer:
75
Step-by-step explanation:
Answer: 11/4
Step-by-step explanation:
11/4x60/60=11/4
The graph of y=f(x) is shown below. find f(-4)
Please help me with this!!
Answer: 33 in.
Step-by-step explanation: If the triangles are similar, you have to compare the same sides and find the scale. If you rotate the image, you see the 6 is the same side as the 18. A scale of 18:3 is the same as 3:1. Using this, you can see the missing side and 11 are the same, so you multiply the 11 by 3 to gett 33 as the length, and in. as your label.
I hoped this help and if I could get brainliest that would be nice <3
Answer
Step-by-step explanation:
Angelina bought a 64-ounce can of lemonade mix.She uses 4 ounces of mix for each pitcher of lemonade.How many pitchers of lemonade can Angelina make from the can of mix?
Answer:She can make 16 pitchers of lemonade
Step-by-step explanation:
1. Divide the amount of ounces needed for one pitcher of lemonade by the amount of ounces she has to get 16 pitchers of lemonade.
PLEASE ANSWER ILL GIVE MY LEFT KIDNEY, MOST BRAINLIEST AND 50 POINTS. plane x and plane y are parallel and plane z intersects plane x. Line ab is in plane x line cd is in plane y and line ef is in plane z. Determine whether each statement is always, sometimes, or never true. Justify your answer.
A) Line AB is skew to Line CD
B) Line AB intersects Line EF
Line AB is always skew to line CD as the two lines are in different planes.
Line AB will sometimes intersect line EF as the two planes intersect at some point.
We know that a plane represents a 2 dimensional surface in a 3 dimensional area.
A plane is a two-dimensional, flat surface in mathematics that never ends. A plane is a point's (zero dimensions), a line's (one dimensions), and space's (three dimensions) two-dimensional equivalents. A plane may appear as a subspace of a higher-dimensional space, such as the indefinitely long wall of a room, or it may enjoy a separate status in and of itself, such as in the context of two-dimensional Euclidean space.Now it is given that planes x and y are parallel to each other, therefore they will never intersect at any place.
Now two separate lines on these two separate planes will also not intersect with each other as they are on different planes and the ploanes do not meet.
Hence Line AB is always skew to line CD as the two lines are in different planes.
Again for Line AB it will intersect EF as the plane z intersects the plane x on which the line AB is located.
We know that the lines can still be skew lines but there is a possibility that they will meet.
Hence Line AB will sometimes intersect line EF as the two planes intersect at some point.
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Help with these questions
I can find percentages and values using the 68-95-99.7 rule, z-scores, and the standard normal distribution.only answer please if you know the answer
Let X be the weight of fish in the lake.
Given that the mean and standard deviation as 20 and 6 respectively,
[tex]\begin{gathered} \mu=20 \\ \sigma=6 \end{gathered}[/tex]Consider the formula,
[tex]z=\frac{x-\mu}{\sigma}[/tex]The proportion of fish weighing less than 15 pounds is calculated as,
[tex]\begin{gathered} P(X<15)=P(z<\frac{15-20}{6}) \\ P(X<15)=P(z<-0.83) \\ P(X<15)=P(z<0)-P(-0.83From the Standard Normal Distribution Table,[tex]\emptyset(-0.83)=0.2967[/tex]Substitute the value,
[tex]\begin{gathered} P(X<15)=0.5-0.2967 \\ P(X<15)=0.2033 \end{gathered}[/tex]Mulyiply by 100 to get the equivalent percent,
[tex]P(X<15)=20.33\text{ percent}[/tex]Thus, 20.33% of fish in the lake will weigh less than 15 pounds.
i neeeeeed help pls 6th grade easy
The information that is not needed to determine the total bill after tax is is the tax was 7%.
The total bill is $11.
What is the total bill?The total bill paid is the sum of the cost of the meal, tax and the tip paid. The tip and tax would increase in the total amount that is paid by the customers.
Tax is a compulsory amount that is levied by the government on certain goods and services.
Percentage is the fraction of an amount expressed as a number out of hundred. To convert a number from percentage to a number, divide the percentage by 100.
Tax paid = 10% x total bill
$1.10 = 0.1 x b
1.10 = 0.1b
b = 1.10 / 0.1
b = $11
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a. The information that is needed to solve the problem is D. All of this information is needed to solve the problem.
b. The total bill is $117.
What is an expression?It should be noted that an expression shows the relationship between the numbers or the variables
The total bill will be:
Tip = $1.10
Tax = 7%
Tip = 10% of cost:
$10 = 10% × c
0.1c = $10
c = $10/0.1 = $100
Cost = $100
The total bill. = Cost + Tip + Tax
= $100 + $10 + (7% × $100)
= $100 + $10 + $7
= $117
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Marco needs to buy some cat food. At the nearest store, 2 bags of cat food costs $9.50. How much would Marco on 3 bags?
Answer:
$14.25 for 3 bags
Step-by-step explanation:
First of all, the question is stating that 2 bags of cat food cost $9.50. This means each bag (1 bag) would cost ($4.75) So u would multiply that by 3, which is easy!
