Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation

Answers

Answer 1

Answer:

M =290

Step-by-step explanation:

Subtraction of numbers


Related Questions

4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C

Answers

Length of bc is 8
hope this helps :))

need help fast given lim x→c f(x) = "-4" and lim x→c g(f) =1/5 what is lim x→c [g(f)/f(x)]

Answers

Answer:  -1/20

Work Shown:

[tex]\displaystyle \lim_{x \to c}f(x) = -4\\\\\\\lim_{x \to c}g(x) = 1/5\\\\\\L = \lim_{x \to c}\frac{g(x)}{f(x)}\\\\\\L = \frac{\displaystyle \lim_{x \to c}(g(x))}{\displaystyle \lim_{x \to c}(f(x))}\\\\\\L = \frac{1/5}{-4}\\\\\\L = (1/5)*(-1/4)\\\\\\L = -1/20\\\\[/tex]

Put simply, we divide the two given values g(x) = 1/5 over f(x) = -4 to end up with -1/20

Find the third, fourth, and tenth terms of the sequence describe by the rule below
A(n)=3+(n-1)(-2)

Please help ASAP, I need to get this done by midnight...

Answers

The third term, fourth term and tenth term are -1, -3, -15 respectively.

What is a sequence?

A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.

Analysis:

For a sequence defined by the rule A(n) = 3 + (n-1)(-2)

Third term, n = 3

A(3) = 3 + (3-1)(-2) = -1

Fourth term, n = 4

A(4) = 3 + (4-1)(-2) = -3

Tenth term, n = 10

A(10) = 3 + (10-1)(-2) = -15

In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.

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Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = =x
h(x) = ÷x

Answers

Answer:

h(x) = 1/4 x

Step-by-step explanation:

h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.

Answers

The error Kevin made was in step 2 when he added before he multiplied.

What error did Kevin make?

This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:

bracket of division multiplication addition subtraction

Step 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66

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I have a bag with 6 marbles numbered from 1 to 6. mathew has a bag with 12 marbles numbered from 1 to 12. matthew chooses one marble from his bag and i choose two from mine. in how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles equals the number on his?

Answers

Answer:

It would be 30.

Step-by-step explanation:

If we make a list of all the sums that we can get, we have:

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.

That gets us to 15x2 which is 30.

The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

I have a bag with 6 marbles numbered from 1 to 6.

Mathew has a bag with 12 marbles numbered from 1 to 12.

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways,

Since order matters, and we could do 2+1 instead of 1+2.

15 x 2 which is 30.

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PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?

Answers

Answer:

46.272 or 46 34

125

Explains :

Let see :

Based on the given conditions, formulate: 16×14.46÷5

Calculate the product or quotient:231.36

5

Convert decimal to fraction:23136

100

5

Divide a fraction by multiplying its reciprocal:23136 × 1

100 5

Write as a single fraction:23136

100×5

Cross out the common factor:5784

25×5

Calculate the product or quotient:5784

5784 125

get the result: 46.272 or 46 34

125

Answer: 46.272 or 46 34

125

The cylinder in a sphere have the same radius for the height of the cylinder is equal to the diameter of the spear select the expression that describes the volume of the cylinder that is not occupied by the sphere

Answers

The volume of the cylinder that is not occupied by the sphere is 2πr³/3

Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.

What is volume of a cylinder?

The volume of a cylinder is given by V '= πr²h where

r = radius of cylinder and h = height of cylinder.

Since the height of the cylinder equals the diameter of the sphere, h = 2r

So, V' = πr²h

V' = πr² × 2r

V' = 2πr³

What is volume of sphere?

The volume of a sphere of radius r is given by V = 4πr³/3

Volume of cylinder not occupied by sphere

The volume of the cylinder not occupied by the sphere is V" = V' - V

=  2πr³ - 4πr³/3

= (6πr³ - 4πr³)/3

= 2πr³/3

So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3

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Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D

Answers

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

What are vertical angles?

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

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1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?

Answers

Answer:

yes there is a correlation

Step-by-step explanation:

here's how I found this by looking up all key words.

This table displays the market share in percent of four companies.

Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?

A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40

Answers

The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is  0 to 40.

How do you set the vertical axis of a Bar Chart?

In setting the  vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.

That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.

Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is  0 to 40 as it range from 0 to the highest value.

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Answer:

A

Step-by-step explanation:

i think i can be wrong

please help me! will give the brainliest answer!

Answers

Answer:

1, -1/3, 1/3, 1}

Latoya created a factor tree and wrote the prime factorization of 90 shown below.

Answers

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

She should have included an exponent of 2 on the 3

An isosceles right triangle has an area of 8cm^2. What is the length of its hypotenuse?

Answers

Answer:

Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.


Find the 14 term of the following geometric sequence.
10, 20, 40, 80,

Answers

Answer:

81920

Step-by-step explanation:

Finding the common ratio (r) :

20/102

Finding the 14th term :

a₁₄ = ar¹⁴⁻¹a₁₄ = ar¹³a₁₄ = (10)(2)¹³a₁₄ = (10)(8192)a₁₄ = 81920

Answer:

the 14th term in the sequence would be 81920.

Step-by-step explanation:

because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.

Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

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Answer:

Step-by-step explanation:

3

39

39

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.

Answers

Answer:

it's 8

Step-by-step explanation:

the lil hand is on the 8 and the big hand is on the 12

Answer:

The time is 8:00  but with out a question im not sure what your asking

Step-by-step explanation:

what are the key features of the graph of a trigonometric function? How do you find them from a graph or an equation?

Answers

Answer:

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.


x y

4 3

6 4

8 9

11 12

13 17



A: y = 1.560x - 4.105

B: y = -4.105x + 1.560

C: y = 4.105x - 1.560

D: y = -1.560x + 4.105

please hurry

Answers

Answer:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases.  Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).  

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other.  The options given for the slope are either 1.560 or 4.105.  If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A:  y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit:  (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

guys help just with part b for number 2!

Answers

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =

Answers

The value of z if x = 36 and y = 6 is 42

Direct and inverse variation

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8, 9).

Answers

Step-by-step explanation:

Solution,Given,Coordinates of A and B are (2,3) and(8,9) respectively. Let A(2,3)= (x1,y1) and B(8,9)=(x2,y2)Midpoint of AB(m)=?Now,using midpoint formulam= {(x1+x2)/2 ,(y1+y2)/2}or m= {(2+8)/2,(3+9)/2}.°. m=(5,6)

Answer:Mxy= [(Xa+Xb/2);(Ya+Yb/2)]

=(2+8/2);(3+9/2)

Midpoint= (5, 6)

Step-by-step explanation:

Find x, rounding to the nearest tenth (one decimal place)

Answers

Answer:

x= 27.5

Step-by-step explanation:

any help is great find the missing length?

Answers

Answer:

3

Step-by-step explanation:

Similar = proportional

solve with an equation

12 : 9 = 4 : x

x = 4 * 9 : 12

x = 3

55 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!!! PLS HELP ASAP!!!!!


Danielle is trying to solve the equation [tex]8^x=\frac{1}{64}[/tex]. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.

Answers

Answer:

x=-2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

help me pls I need to get my grade up before July 11th so help ASAP​

Answers

Second option:
-7x^2+4x+2

Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?

Answers

Answer:

do the calculation below

Step-by-step explanation:

(4/52 ) *(3/51)

leave a comment if you need more help

Horizontal stadia sights. Determine the error in distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight

Answers

The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

Tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as

tan(θ)=0.14/3

θ = 2.672°

Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,

tanθ=x/1.75

x = 1.75 tan(θ)

x = 1.75 × tan(2.672°)

x = 0.08167 m = 8.167 cm

Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

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help me please i still struggle ​

Answers

Answer:

59 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees

Angles in a triangle add up to 280 degrees

180 minus 149 is 31

31 add 90 is 121

180 minus 121 is 59

Identify the expressions for which limits exist.

Answers

Answer:

Step-by-step explanation:

Limits exist for:

[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7

[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6

[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]

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