The number, 19/7, is B. a rational number
Rational numbers are numbers that can be written as a fraction.
In this case, 19/7 is already a fraction
~Rise Above the Ordinary
why does an angle that is supplementary to an acute angle have to be obtuse
This is because the total needs to be equal to 180 degrees. Since obtuse angles are greater than 90 degrees, then it needs an acute angle (lower than 90 degrees) to supplement it to equal 180
What is the inverse of the functionf(x)=2x+1
x = 2x + 1
x - 2x = 1
-x = 1
x = -1
Solution :
Given , function[tex]f(x) = 2x+1[/tex]
we have to find the inverse of the function f(x)
Substitute y for f(x): [tex] y=2x+1[/tex]
Subtract 1 from both sides, [tex]y-1=2x+1-1[/tex]
Divide both sides by 2, [tex]\frac{y-1}{2} = x[/tex]
[tex]\Rightarrow x=\frac{y-1}{2}[/tex]
Substitute [tex]f^{-1}(y)\:for\:x [/tex][tex]\RIghtarrow f^{-1}(y)=\frac{y-1}{2}[/tex]
Hence, The inverse of the function [tex]f(x)=2x+1\:is f^{-1}(y)=\frac{y-1}{2}[/tex]
The height of an ostrich is 20 inches more than 4 times the height of a kiwi .if an ostrich is 108 inches rall,how tall is a kiwi
Estimate then find the sum 169+354
169+354=523 I think thats what you were asking
SOLVE THE INEQUALITY -X/7+ 4 ≥ 3X A. x ≤ 14/11 B. x ≤ 2/5 C. x ≤ 2/1 D. x ≥ –1
You can eliminate fractions by multiplying the whole thing by 7.
... -x +28 ≥ 21x
Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.
... 28 ≥ 22x
... 28/22 ≥ x
This fraction can be reduced, so we have ...
... A. x ≤ 14/11
The expanded form of a number is (6 × 1) + (2 × 0.1) + (7 × 0.01). How should the number be written in word form? six and twenty-seven six and twenty-seven tenths six and twenty-seven hundredths six and twenty-seven thousandths
All choices agree that it is "six and (something)".
So, you're asked to figure out whether 0.2 + 0.07 = 0.27 is
twenty-seventwenty-seven tenthstwenty-seven hundredthstwenty-seven thousandthsYou can start with the original expanded form to decide
... (2 × 0.1) + (7 × 0.01) = (20 × 0.01) + (7 × 0.01)
... = (20+7) × 0.01 = (27 × 0.01)
Since you know 0.01 is 1 hundredth, you know the correct choice is ...
... six and twenty-seven hundredths
the answer would be -six and twenty-seven hundredths
8. When hired at a new job a a salesperson you are given two pay options:
A base salary of $17,000 per year with a commission of 12% of your sales
A base salary of $20,000 per year with a commission of 5% of your sales
How much you need to sell for option A to pay more?
9. When hired at a new job as a salesperson you are given two pay options:
A base salary of $20,000 per year with a commission of 9% of your sales
A base salary of $25,000 per year with a commission of 3% of your sales
How much you need to sell for option A to pay more?
You can write equations for total pay, but in the end, you want to find the amount of sales that makes the difference in commission make up for the difference in base pay.
... (commission rate difference) × sales = (base pay difference)
To find the sales, divide by its coefficient:
... sales = (base pay difference)/(commission rate difference)
8.Sales = (20,000 -17,000)/(.12 -0.05) = 3000/0.07 ≈ 42,857.14
You need to sell more than $42,857.14 for option A to pay more.
9.Sales = (25,000 -20,000)/(.09 -.03) = 5000/0.06 ≈ 83,333.33
You need to sell more than $83,333.33 for option A to pay more.
_____
In each case, total pay is ...
... total pay = (base pay) + (commission rate) × sales
For the two options to give the same total pay, the difference in total pay is zero. That occurs when ...
... 0 = (base pay₁) + (commission rate₁) × sales -((base pay₂) + (commission rate₂) × sales)
... 0 = (base pay₁) - (base pay₂) - sales × ((commission rate₁) -(commission rate₂))
Solving for sales, we get the above result:
... sales = ((base pay₂) -(base pay₁))/((commission rate₁) -(commission rate₂))
Solution 8:
We are given base salary of 17000 and 12% of sales.
Les us say salesperson does sales of x amount.
So 12% of x is 0.12x
Total salary = 17000+0.12x
In second case base salary is $20000 and commission of 5% of sales.
Total salay=20000+0.05x
Now for option A to pay more we have:
[tex]17000+0.12x>20000+0.05x[/tex]
Solving we get:
[tex]0.07x>3000[/tex]
x>42,857
Answer: Option A need to make sales of $42,857 more.
Solution 9:
We are given base salary of 20000 and 9% of sales.
Les us say salesperson does sales of x amount.
So 9% of x is 0.09x
Total salary = 20000+0.09x
In second case base salary is $25000 and commission of 3% of sales.
Total salay=25000+0.03x
Now for option A to pay more we have:
[tex]20000+0.09x>25000+0.03x[/tex]
Solving we get:
[tex]0.06x>5000[/tex]
x>83,333.33
Answer: Option A need to make sales of $83,333.33 more.
PLZZZZZZZZZZZZZZZZZZZZ HELP IM IN A RUSH
If the answer is not a whole number, it should be entered as a decimal rounded to the hundredths place.
A photograph with a width of 5.5 inches is being enlarged by a factor of 4 1/2 to make a poster.
The new width of the photograph is ________
inches.
Answer:
24.75 i just had this question got it wrong but there's the correct answer
Question 3
What is the value of the expression?
4!(7 – 4)!
A.) 5040
B.) 479,001,600
C.) 120,384
D.) 144
4!(7 – 4)! is equivalent to (4!)(3)!
3! = 3*2*1 = 6, and 4! = 4(6) = 24.
Thus, 4!(7 – 4)! = 24(6) = 144
jerome tries to find the value of the expression 3-6+5 by first applying the communtative property. he rewrites the expression as 3-5+6. explain what is wrong with jeromes approach
The commutative property is a property of addition, not of subtraction. It can work in a subtraction problem if you keep the sign with the number, so you're adding positive and negative numbers.
3 - 6 + 5
= (3) + (-6) + (5)
= (3) + (5) + (-6)
= 3 + 5 - 6
a team played 42 games and won 5/14 of them. how many games were lost?
27 games were lost
fraction of games lost = 1 - [tex]\frac{5}{14}[/tex] = [tex]\frac{14}{14}[/tex] - [tex]\frac{5}{14}[/tex] = [tex]\frac{9}{14}[/tex]
number of games lost = [tex]\frac{9}{14}[/tex] of 42
= [tex]\frac{9}{14}[/tex]× 42 = 27
The team played 42 games and won 5/14 of them, which equals 15 games. Subtracting the number of games won from the total number of games played gives the total number of games lost, which is 27.
Explanation:The team played 42 games and won 5/14 of them. To find out how many games were lost, we first have to find out how many they won. 5/14 of 42 games is 15 games. So, they won 15 games. Now, to find out how many games were lost, we need to subtract the number of games won (15 games) from the total number of games played (42 games). Therefore, 42 games - 15 games = 27 games. So, the team lost 27 games.
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Writing two column proofs
Given: BC bisects. ABD M ABD =52° prove: mABC=26°
An angle bisector divides the angle into equal halves.
Given that:
[tex]\angle ABD = 52^o[/tex]
From the question, we understand that:
BC bisects [tex]\angle ABD[/tex]
This means that:
[tex]\angle ABD = 2 \times \angle ABC[/tex] ---- By definition of midpoint
So, we have:
[tex]52^o= 2 \times \angle ABC[/tex] ---- By substitution property
Divide both sides by 2
[tex]26^o= \angle ABC[/tex] ---- By division property of equality
So, we have:
[tex]\angle ABC = 26^o[/tex] --- By symmetric property of equality
Hence,
[tex]\angle ABC = 26^o[/tex] --- proved
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To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles.
Explanation:To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles. Here is a step-by-step proof:
Given: BC bisects ∠ABD (angle bisector)m∠ABD = 52° (given)From the angle bisector theorem, we know that m∠ABC = m∠CBD (angles formed by the angle bisector are congruent)Therefore, m∠ABC = m∠CBD = 26° (since m∠ABD = 52°)Therefore, we have proven that m∠ABC = 26°.
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Match the vocabulary word with the correct definition. 1. circle circles that have equal radii 2. radius a segment joining the center of a circle to a point of the circle 3. diameter the set of all points in a plane that are at a given distance from a given point in the plane 4. congruent circles two or more circles that lie in the same plane an have the same center 5. concentric circles a chord of a circle that contains the center of the circle
Answer:
1 - Circle 2 - Concentric 3 - Congruent 4 - Diameter 5 - Radius
Step-by-step explanation:
1. the set of all points in a plane that are at a given distance from a given point in the plane
Circle
2. two or more circles that lie in the same plane and have the same center
Concentric Circles
3. circles that have equal radii
Congruent Circles
4. a chord of a circle that contains the center of the circle
Diameter
5. a segment joining the center of a circle to a point of the circle
Radius
The given vocabulary words are all related to the concept of circles in mathematics. Each term is defined in respect to a characteristic or property of a circle. The terms covered were circle, radius, diameter, congruent circles and concentric circles.
Explanation:The vocabulary words match with the correct definitions as follows:
A circle is defined as the set of all points in a plane that are at a given distance from a given point in the plane. The term radius refers to a segment joining the center of a circle to a point of the circle. The diameter is a chord of a circle that contains the center of the circle. Congruent circles are circles that have equal radii. Finally, concentric circles are two or more circles that lie in the same plane an have the same center. Learn more about Circle Vocabulary here:
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Landau has some nickels,dimes,amd quarters. The number of dimes is 3 more than 7 times the number of nickels. The number of quarters is 4 less than 2 times the number of nickels. The total value of the coin is 330 cents. Write and solve an equation of each type of the coin
This question is one where the numbers don't add up. You should ask your teacher to show you how to work it.
___
Let n, d, q represent the numbers of nickels, dimes, and quarters Landau has, respectively.
... d = 7n +3 . . . . . the number of dimes is 3 more than 7 times the number of nickels
... q = 2n -4 . . . . . the number of quarters is 4 less than 2 times the number of nickels
... 5n +10d +25q = 330 . . . . the total value of the coins is 330 cents
Using the first two equations to substitute into the last one, we get
... 5n +10(7n +3) +25(2n -4) = 330
... 125n -70 = 330 . . . . . . eliminate parentheses, collect terms
... n = 400/125 . . . . . . . . add 70, divide by 125
... n = 3.2
... d = 7·3.2 +3 = 25.4
... q = 2·3.2 -4 = 2.4
Landau has 3.2 nickels, 25.4 dimes, and 2.4 quarters.
What is the answer of -3 2/3 + 1.1 as a fraction?
if you miss a payment for a bill, how do you compute the interest due on the next bill?
To calculate the interest due after missing a payment, add any late fees to the unpaid bill and apply the monthly interest rate to the outstanding balance. Interest compounds monthly, so it's crucial to pay off the debt quickly to prevent the balance from growing.
Explanation:To compute the interest due on the next bill after missing a payment for a bill, you need to consider any late fees in addition to the compounded interest. For a credit card company that charges a flat rate of $10 for a late payment and a daily rate of $5 for each day the payment remains unpaid, you would add these fees to the subtotal of the unpaid bill. Additionally, most creditors use a formula to calculate minimum payments and interest on the outstanding balance, typically on a monthly basis.
The interest on the next bill is calculated by multiplying the balance you owe by the interest rate that is applied each month. If you continue to carry a balance from month to month, this interest will be added to your outstanding balance, which will increase the amount you owe. It is important to pay off credit card debt as promptly as possible to avoid accruing additional interest.
1 .Which statement correctly describes the relationship between the graph of f(x)=2x
and the graph of g(x)=f(x)−4 ?
A. The graph of g(x) is the graph of f(x) translated 4 units right.
B. The graph of g(x) is the graph of f(x) translated 4 units left.
C. The graph of g(x) is the graph of f(x) translated 4 units up.
D. The graph of g(x) is the graph of f(x) translated 4 units down.
2. Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) ?
A. The graph of g(x) is the graph of f(x) translated 7 units down.
B. The graph of g(x) is the graph of f(x) translated 7 units left.
C. The graph of g(x) is the graph of f(x) translated 7 units right.
D. The graph of g(x) is the graph of f(x) translated 7 units up.
3. The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis.
Which equation describes the function g?
A. g(x)=−x−6
B. g(x)=x−6
C. g(x)=−x+6
D. g(x)=−6x−6
4. The graph of g(x) is the graph of f(x)=12x+6 compressed vertically by a factor of
1/3 .
Which equation describes the function g?
A. g(x)=4x+2
B. g(x)=4x+6
C. g(x)=12x+2
D. g(x)=36x+6
5. Which series of transformations take the graph of f(x)=2x+3 to the graph of g(x)=−2x+4 ?
A. reflect the graph about the y-axis and translate 1 unit up
B. reflect the graph about the y-axis and translate 1 unit down
C. reflect the graph about the x-axis and translate 1 unit up
D. reflect the graph about the x-axis and translate 1 unit down
D
the graph of g(x) is the graph of f(x) translated 4 units down
I looked at them and i'm not sure its d but you should try d.
4- is there any price for which there are. I data
5-
4. There are no data for prices other than integer values in the range $11 to $16. For example, there is no data for a price of $11.50, or for a price of $17.
5. insufficient information
Two lines intersect to form a linear pair with equal measures. One angle has the measure 3x° and the other angle has the measure (9y − 18)°. Find the values of x and y.
3x + 9y - 18 = 180
3x = 9y - 18
Which means
3x = 90
9y - 18 = 90
Solving for each:
x = 90/ 3
x = 30
And
9y = 108
y = 108/9
y = 12
Answer: x = 30 , y = 12
The values of x and y are 33 and 13, respectively. To find these, we used the properties of a linear pair of angles being equal and supplementary, which led us to a system of equations that we solved for both variables.
When two angles form a linear pair with equal measures, they are supplementary and equal to each other. Therefore, the sum of their measures is 180 degrees. Since both angles in the linear pair are equal, we can set them equal to each other to find the values of x and y.
The first angle is given as 3x degrees and the second angle is given as (9y - 18) degrees. Since they are equal, we can set up the equation:
3x = 9y - 18
To find the value of x and y, we also need to use the fact that angles in a linear pair add up to 180 degrees. Thus:
3x + (9y - 18) = 180
Substituting the value of 3x from the first equation into the second:
3x + 3x = 180 + 18
6x = 198
x = 33
Now substituting the value of x back into the first equation to find the value of y:
3(33) = 9y - 18
99 = 9y - 18
9y = 117
y = 13
The values of x and y are therefore 33 and 13, respectively.
is a fraction a numerical or algebraic
[tex] \frac{n}{4} [/tex]
Algebraic is your answer
In a numerical fraction, there can only be numbers and the operation that is connected with the numbers
In an Algebraic fraction, not only can you have numbers and operation, you can also have variables.
~Rise Above the Ordinary, Senpai
HELP PLEASE!!!! 8TH GRADE MATH
1. 12 pages per minute
A bucket holds c liters of water, but a jar holds d liters more. How much water do they hold together?
The total volume of water that the bucket and jar hold together is found by adding the liters the bucket holds (c) and the liters the jar holds more than the bucket (d). Therefore, the expression for total volume is c + d.
Explanation:The subject of the question is simple addition in Mathematics. To solve this, we need to add the liters of water the bucket holds (represented by c) and the liters of water the jar holds (represented by d liters more than the bucket). On this basis, the equation is as follows: total liters = c + (c + d).
However, as the question states that the jar holds d liters more than the bucket, not that it holds d liters more than the total amount in the bucket, the correct equation to find out the total volume of water in both the bucket and the jar together is: total liters = c + d.
So, if the bucket holds 5 liters of water (c=5) and the jar holds 2 liters more (d=2), then together, they hold 5 + 2 = 7 liters of water.
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One coin weighs 11 grams. How many grams do 10 coins weigh?
Answer:
110
Step-by-step explanation:
evaluate this expression
[tex]2^{-2}[/tex]
Answer:
0.25
Step-by-step explanation:
we have to use the following formula here-
[tex]a^{-m}= \frac{1}{a^{m}}[/tex]
Now, here we get,
[tex]2^{-2}[/tex]
So, applying the formula we get
[tex]2^{-2}= \frac{1}{2^{2}}= \frac{1}{4} =0.25[/tex]
So, the answer is 0.25
[tex]2^{-2}[/tex] = [tex]\frac{1}{4}[/tex]
using the law of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{}a^{m}[/tex]
[tex]2^{-2}[/tex] = [tex]\frac{1}{}2^{2}[/tex] = [tex]\frac{1}{4}[/tex]
if a cd can store 700,000,000 bytes of data express, in scientific notation the number of bytes of data which can be store on 2 such cd
700,000,000 = 7.00E8 bytes of data. Then, 2 such cd's will hold 2(7.00E8 bytes of data) = 1.4E9 byes of data (answer)
Given: △DMN, DM=10 3 m∠M=75°, m∠N=45° Find: Perimeter of △DMN
Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN
The Perimeter of △DMN is 35.9
First step
sin 45 / 10 = sin 60/ x
x = sin 60 × 10 / sin 45
= √(3)/2 × 10 × 2 / √(2)
= √(3) / 2 × 10 ×√(2)
= 5 × √(6)
Second step
sin 45 / 10 = sin 75 / y
y = sin 75 × 10 / sin 45
= sin 75 × 10 × 2 / √(2)
= sin 75 × 10 ×√(2)
= 13.066054
Now let determine Perimeter of △DMN
Perimeter of △DMN=10 + 5*√(6) + 13.06605425
Perimeter of △DMN= 35.90770275
Perimeter of △DMN=35.9
Inconclusion Perimeter of △DMN is 35.9
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1. what is the simplified form of -(x - 4)?
A. - × -4
B. - × + 4
C. x + 4
D. x - 4
2. what is the simplified form of the expression -4xy/3x?
A. -3y/4
B. -4×/3
C. -4y/3
D. -3×/4
1. To simplify -(x-4) change the sign on each term inside parenthesis:
-(x-4) would become -x+4
The answer is B.
2. -4xy / 3x
Cancwl the common factor out
-4xy / 3x (cross out the x's)
-4y /3
The answer is C.
Answer:
C thank you next
Step-by-step explanation:
Solve for x.
3x / 6 + 1 = 7
3x/6 +1 = 7
Subtract 1 from each side:
3x/6 = 6
Multiply both sides by 6:
3x = 36
Divide both sides by 3:
X = 36 / 3
X = 12
x = 12
given [tex]\frac{3x}{6}[/tex] + 1 = 7 ( subtract 1 from both sides )
[tex]\frac{3x}{6}[/tex] = 6 ( multiply both sides by 6 )
3x = 36 ( divide both sides by 3 )
x = 12
Which is a translation of the shaded figure?
A.) D
B.) A
C.) B
D.) C
The answer is D. because they are the same shape and have the same dimensions.
The solution is Option A.) D
What is Translation?
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
From the given figure , we can see that only figure represents the same exact figure as per the pre-image
Now , a translation moves a figure only up , down or from side to side
The figure in the image is only translated by a scale factor and no other changes are happening or no other transformations occur.
So , it is clear from the options that the image D is the only possible outcome where a translation of the shaded figure takes place.
Hence , the solution is figure D
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In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that they were opposed.
Using this survey as a basis, if 40,000 citizens vote next week, how many are likely to be opposed to the new park? Round to the nearest whole number.
10, 267
the fraction of voters opposed from the survey = [tex]\frac{250}{974}[/tex]
Assuming this fraction as a basis then the predicted number against will be
40, 000 × [tex]\frac{250}{974}[/tex] = 10, 267 ( nearest while number )