given the 5th term is 103 and the come differences is -6 2/3 what is the 6th term?

Answer:

3 pounds and 3/4th of a pound

Step-by-step explanation:

2000 x 3 is 6000 and you have 1500 left

you can divide 2000 equally by 4 and get 500.

Multiply 500x3 and get 1500

(the 3 and the 4 is how i got the fraction)

6000+1500 = 7500

boom big brain answer good luck

In this question, we know that 1 ton = 2000

We're trying to find how many tons is 7500 tons.

In order to find your answer, you would divide 7500 by 2000 in order to know how many tons there are.

Divide:

7500 ÷ 2000 = 3.75

This means that there are 3.75 tons in 7500 pounds

Answer:

3.75 tons

Answer:

Anna is incorrect.

Step-by-step explanation:

Find lengths of diagonals SQ and OM.

1. Consider right triangle SQR. By the Pythagorean theorem,[tex]SQ^2=SR^2+RQ^2\\ \\SQ^2=14^2+7^2\\ \\SQ^2=196+49\\ \\SQ^2=245\\ \\SQ=\sqrt{245}=7\sqrt{5}\ units[/tex]

2. Consider right triangle OML. By the Pythagorean theorem,

[tex]OM^2=OL^2+LM^2\\ \\OM^2=7^2+7^2\ [\text{In square LMNO, side } OL \text{has the same length as side }LM]\\ \\OM^2=49+49\\ \\OM^2=98\\ \\OM=\sqrt{98}=7\sqrt{2}\ units[/tex]

Since [tex]7\sqrt{5}\neq 2\cdot 7\sqrt{2}=7\sqrt{8},[/tex] diagonal SQ is not two times diagonal OM. Thus, Anna is incorect.

Answer:

Anna is not correct

Step-by-step explanation:

 Part A: No, anna is not correct because first the rectangle (PQRS) its says that the length of (SR) is 14 inches and if cut in half at the diagonal a rectangle or a square would have 2 triangles so if A2 + B2 = C2 then if C = the length of the diagonal and A would = 14 in ( the length of the rectangle) and then B would = 7 inches which is the width of the rectangle. It concludes that 14 to the power of 2 + 7 to the power of 2 = 245 which its square root is 15.65 ( if rounded to the hundredth place) 

Part B: Next, is the square (LMNO) if its length and width are both 7 inches then A2 = 7 to the power of 2 and also B2 will also = 7to the power of 2 and C2 will = will be the length of the diagonal.So, all of that 7 to the power of 2 + 7 to the power of 2 = 98 and its square root is 9.89 ( if rounded to the hundredth place) so lets just say 9.9.

Then you can see that 9.9 times 2 does not equal 15.65 so Anna was wrong.  

Answer with Step-by-step explanation:

We are given  that

COAL is a rhombus .

CA and LO are the diagonals of rhombus COAL.

CA=27 m

OL=19 m

We know that

Diagonals of rhombus are bisect to each other.

Let P(0,0) be the intersecting point of diagonals

Therefore, CP=PA

LP=PO

Length PO=[tex]\frac{1}{2}LO=\frac{19}{2}=9.5 m[/tex]

Length of CP=[tex]\frac{1}{2}PA=\farc{1}{2}(27)=13.5 m[/tex]

Let C([tex]0,y_2),O(x_1,0),A(0,y_1) \;and\;L(x_2,0)[/tex].

Distance formula:[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

[tex]CP=\sqrt{(0-0)^2+(0-y_2)^2}=13.5[/tex]

[tex]\sqrt{y^2_2}=13.5[/tex]

[tex]y_2=\pm 13.5[/tex]

C(0,13.5) or (0,-13.5)

[tex]\sqrt{(y_2-y_1)^2}=27[/tex]

Substitute the value [tex]y_2=13.5[/tex]

[tex]\sqrt{13.5-y_1}=27[/tex]

[tex]13.5-y_1=\pm 27[/tex]

[tex]y_1=13.5-27=-13.5[/tex]

A(0,-13.5)

[tex]13.5-y_1=-27[/tex]

[tex]y_1=13.5+27=40.5[/tex]

A(0,40.5)

Substitute [tex]y_2=-13.5[/tex]

[tex]\sqrt{(-13.5-y_1)^2}=27[/tex]

[tex]-13.5-y_1=\pm 27[/tex]

[tex]-13.5-y_1=27[/tex]

[tex]y_1=-13.5-27=-40.5[/tex]

A(0,-40.5)

[tex]-13.5-y_1=-27[/tex]

[tex]y_1=-13.5+27=13.5[/tex]

A(0,13.5)

[tex]LP=\sqrt{(x_2-0)^2}=9.5[/tex]

[tex]\sqrt{x^2_2}=9.5[/tex]

[tex]x_2=\pm 9.5[/tex]

L(9.5,0) or L(-9.5,0)

[tex]\sqrt{x_2-x_1)^2}=19[/tex]

[tex](9.5-x_1)^2}=19[/tex]

[tex]9.5-x_1=\pm 19[/tex]

[tex]9.5-x_1=19[/tex]

[tex]x_1=9.5-19=-9.5[/tex]

[tex]9.5-x_1=-19[/tex]

[tex]x_1=9.5+19=28.5[/tex]

[tex](-9.5-x_1)=19[/tex]

[tex]-9.5-x_1=\pm 19[/tex]

[tex]-9.5-x_1=19[/tex]

[tex]x_1=-9.5-19=-28.5[/tex]

[tex]-9.5-x_1=-19[/tex]

[tex]-9.5+19=x_1[/tex]

[tex]x_1=9.5[/tex]

O(-9.5,0) or O(28.5,0) or (-28.5,0) or (9.5,0)

Answer:

[insert name here] drove his scooter around. When he started, his speed increased constantly to 10 mph (O-A). He cruised at 10mph for a few seconds. (A-B) Then he slowed down (B-C) and stopped for a few seconds (C-D). He then started speeding up (D-E) and cruised for a few more seconds. (E-F)

Answer:

[tex]\displaystyle x = 8[/tex]

Step-by-step explanation:

Anything set to equal x is considered an undefined rate of change [slope], which is a vertical line. This is not a function, since it flunks the vertical line test.

I am joyous to assist you anytime.

Step-by-step explanation:

Picture############

Answer:

k=2

Step-by-step explanation:

We are given that two function f(x) and g(x)

[tex]g(x)=f(kx)[/tex]

From given graph

[tex]g(-2)=0[/tex]

[tex]f(-4)=0[/tex]

[tex]g(-2)=f(-4)[/tex]

By comparing we get

x=-2 and

[tex]kx=-4[/tex]

[tex]k(-2)=-4[/tex]

[tex]k=\frac{-4}{-2}=2[/tex]

Hence, the value of k=2

Based on information provided, the value of k is 2.

Here's why:

1. Understanding the problem: We are given two functions, f(x) and g(x), where g(x) is defined as f(k * x). The graph shows both functions, and we are asked to find the value of k.

2. Analyzing the graph: The graph shows two lines:

  - The red line represents f(x).

  - The blue line represents g(x).

3. Key observation: We are given that g(-2) = 0. This means the blue line intersects the x-axis at x = -2.

4. Relating g(x) to f(x): Since g(x) = f(k * x), we know that the blue line is obtained by horizontally stretching or compressing the red line by a factor of k.

5. Finding k: To make the blue line intersect the x-axis at x = -2, we need to stretch the red line to the left by a factor of 2. This means k = 2.

Therefore, based on the given information and the analysis of the graph, the value of k is 2.

Answer:3/8 as a fraction and 3/8%

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

20 squared+21 sqaured= 29 squared

To find the solution to the system of equations 5x - 8y = -45 and 9x - 8y = 49, you can solve by elimination. The solution is x = 23.5 and y = 20.3125.

To find the solution to the system of equations:

5x - 8y = -45

9x - 8y = 49

Answer: Lucy sews [tex]\frac{16}{21}[/tex] of a dress in one hour.

Step-by-step explanation:

The complete question is:

"Lucy is a dress maker. She sew [tex]\frac{4}{7}[/tex] of a dress in [tex]\frac{3}{4}[/tex] hour. At this rate, how many dresses does Lucy sew in one hour?"

Let "x" represents the number of dresses that Lucy sews in one hour.

You need to analize the information given in the exercise.

According to the exercise, you know that, in [tex]\frac{3}{4}[/tex] hour, Lucy sews [tex]\frac{4}{7}[/tex] of a dress.

Then, knowing this data, you can set up the following proportion:

[tex]\frac{\frac{4}{7}}{\frac{3}{4}}=\frac{x}{1}[/tex]

Therefore, you must solve for "x" in order to find the he number of dresses that Lucy sew in one hour.

You get this result:

[tex](1)(\frac{4*4}{7*4})=x\\\\x=(1)(\frac{16}{21})\\\\x=\frac{16}{21}[/tex]

Then, Lucy sews [tex]\frac{16}{21}[/tex] of a dress in one hour.

Answer:

3 8/35 is the answer your welcome

Answer:

please include more info

Step-by-step explanation:

The equation for the height, h, in terms of the base, b, and area, A is [tex]h = \frac{2A}{b}[/tex]

Solution:

Given that area of a triangle is given by the formula:

[tex]A = \frac{1}{2}bh[/tex]

Where,

A is the area of triangle

b is the base of triangle

h is the height of triangle

We have to find the equation for height in terms of base and area

So we have to arrange the equation in such a way that height can be found by using area and base

Given formula is:

[tex]A = \frac{1}{2}bh[/tex]

Keep "h" alone in L.H.S and move the other terms to other side of formula

[tex]A = \frac{bh}{2}\\\\2A = bh\\\\h = \frac{2A}{b}[/tex]

Thus height is expressed in terms of base and area

Answer:

All the points on (x - 2)² + (y - 5)² = 100

Step-by-step explanation:

It should be the circle with its center on point (2,5) and radius is 10.

(h , k) : center of circle (2,5)    h = 2     k = 5

r: radius     r = 10

Circle: (x - h)² + (y - k)² = r²

(x - 2)² + (y - 5)² = 100

Answer:

Below.

Step-by-step explanation:

There are many .

Two are  (2+10, 5) =  (12,5) and (2,5+10) = (2, 15).

1. Let us first find the missing interior angle.

m<C+53+61=180

m<C=66 degrees

law of sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

a,b, and c represents the lengths of the triangles and A,B, and C represents the measures of the interior angles opposite to the sides.

For the purposes of this problem let us use a shorthand version for the law of sines.

[tex]\frac{sin(B)}{b} =\frac{sin(C)}{c}\\\frac{sin(61degrees)}{b} =\frac{sin(66degrees)}{142}\\b=142sin(61degrees)/sin(66degrees)\\[/tex]

b=134.95 meters approx.

AC is equal to length b in this case so AC=134.95 meters approx.

2. law of cosines: a²=b²+c²-2bccos(A)

Let us rearrange this formula so that we can solve for cos(C) in terms of a, b, and c (the sides lengths of the triangle).

a²=b²+c²-2bccos(A)

a²-b²-c²=-2bccos(A)

[tex]\frac{a^{2}-b^{2}-c^{2}}{-2bc}[/tex]=cos(A)

cos(A)=[tex]\frac{a^{2}-b^{2}-c^{2}}{-2bc}[/tex]

Now, because we want to find measure of angle A...

cos(A)=[tex]\frac{13.7^{2}-12.2^{2}-22.1^{2}}{-2(12.2)(22.1)}[/tex]

cos(A)=0.83 approx.

A=33.52 degrees approx.

3. Solving with law of cosines.

law of cosines: a²=b²+c²-2bccos(A)

a²=16²+18²-2(16)(18)cos(52 degrees)

a²=256+324-576cos(52 degrees)

a²=580-576cos(52 degrees)

a²=225.38 approx.

a=15.01 units approx.

Solving with law of sines.

law of sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

For the purposes of this problem let us use a shorthand version for the law of sines.

[tex]\frac{sin(71 degrees)}{18} =\frac{sin(52 degrees)}{x}\\xsin(71 degrees)=18sin(52degrees)\\x=\frac{18sin(52degrees)}{sin(71 degrees)} \\[/tex]

x=15.00 un approx.

We have 1 square with side length 8 inches, and 4 triangles with a base length of 8 inches and a height of 15.

Surface area = (8 × 8) + 4(0.5 × 8 × 15)

The first part of this equation is the area of the square

The second part is the area of a triangle, multiplied by 4 (because there are 4 triangles)

= 64 + 4(60)

= 64 + 240

= 304 in²

The total surface area is 304 square inches.

Let me know if you need any clarifications, thanks!

Step-by-step explanation:

If you're asking for an equation, the equation would be: [tex]y=-4x-3[/tex]

(probably what you're looking for) if you're looking for what y equals, the answer is: 9

for equation:

1. write an equation with the information you have

[tex]y=-4x+b[/tex]

2. Plug in the values for x and y

[tex]-7=-4(1)+b[/tex] where b equals -3

so your equation would be [tex]y=-4x-3[/tex]

for what y equals:

1. since you've figured out the equation, plug in the value for x and solve for y

[tex]y=-4(-3)-3[/tex] which then gives you [tex]y=9[/tex]

cost of one peppermint cookies = $ 0.6

cost of one cinnamon sugar cookies = $ 0.3

Let "p" be the cost of one peppermint cookies

Let "c" be the cost of one cinnamon sugar cookies

To find: cost of each cookie

We can frame a equation as:

120  peppermint cookies x cost of one peppermint cookies + 30  cinnamon sugar cookies x cost of one cinnamon sugar cookies = $ 81

[tex]120 \times p + 30 \times c = 81[/tex]

120p + 30c = 81  --------- eqn 1

70  peppermint cookies x cost of one peppermint cookies + 60  cinnamon sugar cookies x cost of one cinnamon sugar cookies = $ 60

[tex]70 \times p + 60 \times c = 60[/tex]

70p + 60c = 60 --------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "p" and "c"

Multiply eqn 1 by 2

240p + 60c = 162  --- eqn 3

Subtract eqn 2 from eqn 3

240p + 60c = 162

70p + 60c = 60

(-) -------------------------

170p = 102

Substitute p = 0.6 in eqn 1

120p + 30c = 81

120(0.6) + 30c = 81

72 + 30c = 81

30c = 9

Summarizing the results:

cost of one peppermint cookies = $ 0.6

cost of one cinnamon sugar cookies = $ 0.3

Answer:

18 feet

Step-by-step explanation:

1 inch = 6 feet

3 * 6 = 18

Answer:

Approx. 2

Step-by-step explanation:

round 3.8 to the nearest whole number, which is 4.

Divide 4 by 2.

3.8/2 is approx. 2.

(the exact answer would be 1.9)

To estimate the result of 3.8 divided by 2, you can round 3.8 to 4 which, when divided by 2, gives an estimate of 2. This method provides a result that is close to the actual answer of 1.9.

The question '3.8 divided by 2 estimated' is asking for an approximate result of dividing 3.8 by 2. To estimate this, you can round 3.8 to 4 because it is close to this even number which makes mental math easier. Now, divide 4 by 2 to get 2. Although this is an estimate, the actual calculation of 3.8 / 2 yields 1.9. So, our estimated answer is close to the actual result.

When performing division, estimation can be a useful tool, especially when dealing with decimals. Estimating can also help in checking the reasonableness of answers obtained via calculators, which can sometimes provide more precision than necessary. For example, when using significant figures in calculations, a calculator does not limit the precision of the result, but estimating can help a user decide how many decimal places to report.

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Answer:

weight * (4 / 5) = 30

weight * .8 = 30

weight = 30 / .8

weight = 37.5 pounds

Step-by-step explanation:

Answer:

[tex]0\leq 4x+8\leq 12[/tex]

Step-by-step explanation:

Compound inequality contain at least 2 or more inequality which is separated by "either" or "or". The end result has to satisfy both the inequality to be correct.

Now, creating compound inequality.

Lets assume a number "x" to create inequality.

As per given word problem: The sum of four times a number and eight.

∴[tex]4\times x + 8[/tex] = [tex]4x+8[/tex]

Next, as given the equation has to be between zero and twelve.

∴ [tex]0\leq 4x+8\leq 12[/tex]

∴ We have the inequality for word problem is [tex]0\leq 4x+8\leq 12[/tex].

The compound inequality that represents the given word problem is [tex]\( 0 < 4x + 8 < 12 \).[/tex]

To create a compound inequality for the given word problem, we need to translate the words into a mathematical expression. The problem states that "the sum of four times a number and eight is between zero and twelve." Let's break this down:

1. Identify the variable: The problem is asking about "a number," which we will represent with the variable [tex]\( x \).[/tex]

2. Translate "four times a number" into a mathematical expression: This phrase becomes  [tex]\( 4x \).[/tex]

3. Translate "the sum of four times a number and eight" into a mathematical expression: This phrase adds 8 to the previous expression, resulting in[tex]\( 4x + 8 \).[/tex]

4. Translate "is between zero and twelve" into a mathematical inequality: This phrase indicates that the expression [tex]\( 4x + 8 \)[/tex]  should be greater than zero and less than twelve. In mathematical terms, this is written as two separate inequalities:[tex]- \( 4x + 8 > 0 \)- \( 4x + 8 < 12 \)5.[/tex]  Combine the two inequalities into a compound inequality: Since we want both conditions to be true at the same time, we use the logical "and" to combine them. The compound inequality is then:[tex]\( 0 < 4x + 8 < 12 \[/tex] )This compound inequality states that the expression [tex]\( 4x + 8 \)[/tex]  should yield a value that is greater than 0 and less than 12, which accurately represents the conditions given in the word problem.

Answer:

Amy spent $11 for lunch.

Step-by-step explanation:

x+y=25

x+(x+3)=25

2x+3=25

2x=25-3

2x=22

x=22/2

x=11

Answer:amy spent 11 dollars.

Step-by-step explanation:I did math

Answer:

(2.5, 2 )

Step-by-step explanation:

Given the 2 equations

2x + 2y = 9 → (1)

2x - y = 3 → (2)

Rearrange (2) expressing y in terms of x

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (1)

2x + 2(2x - 3) = 9 ← distribute left side and simplify

2x + 4x - 6 = 9

6x - 6 = 9 ( add 6 to both sides )

6x = 15 ( divide both sides by 6 )

x = 2.5

Substitute x = 2.5 into (3) for corresponding value of y

y = 2(2.5) - 3 = 5 - 3 = 2

Solution is (2.5, 2 )

Solve this using the elimination process.

They're already lined up so just solve!

2x + 2x = 4x

2y+ (-y) = 3y

9 + 3 = 12

4x + (-1y) = 12

Now solve.

4x + -1 x y = 12

4x - y = 12

4x = 12 + y

x = 12 + y / 4

First, when a problem is lined up with the same vales/terms, you can use the elimination process while doing math.

Then, make your equation by adding and subtracting the same terms.

Therefore, you finally get your answer.

Keep in mind not all answers will be a full number.

Answer:

Step-by-step explanation:

Is called a letter that stands for the number

Answer:

Step-by-step explanation:

√10x - 1 = 7

Square both sides,

10x - 1 = 7²

10x - 1 =  49

10x = 49 + 1

10x = 50

x = 50/10

x=5

This seems confusing, like part of the question was cut off, but I'll try my best!

Answer: (For Part A)

I'm gonna assume that the $25.30 is the sum of all food and beverages.

So, if that's the case, the bill should be $27.32

Step-by-step explanation:

The meals tax is 8%, so all you have to do is multiply 25.30 (or 25.3) with 0.08 (8%) to get 2.024. Then you add 2.024 to the original number;

25.30 + 2.024 = 27.324

Finally you round to the nearest cent. So you get $27.32

However this might be incorrect because it looks like a  part of the question is missing.

Answer:

There is 1.587 ounces of sodium chloride that he will need.

Since we have given that

Quantity of sodium chloride in grams = 45 grams

We need to find the number of ounces of sodium chloride.

As we know that

1 ounce = 28.35 gram

So, 1 gram =

So, 45 grams =

Hence, there is 1.587 ounces of sodium chloride that he will need.

Step-by-step explanation: Since we have given that

Quantity of sodium chloride in grams = 45 grams

We need to find the number of ounces of sodium chloride.

As we know that

1 ounce = 28.35 gram

So, 1 gram =

So, 45 grams =

Hence, there is 1.587 ounces of sodium chloride that he will need.