Franklin has a five-dollar bill and d dimes in his money jar. Which expression could represent the value, in dollars, in franklins money jar?

Answer:  5) 72.6°      6) 68.7°       7) 37.3°        8) 81.5°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

5) a = 27, b = 26, c = 20, A = ???

   a² = b² + c² - 2bc · cos A

27² = 26² + 20² - 2(26)(20) · cos A

729 = 676 + 400 - 1040 cos A

729 = 1076 - 1040 cos A

-311 = -1040 cos A

[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]

72.6° = A

6) a = 11, b = 13, c = 12, B = ???

   b² = a² + c² - 2ac · cos B

13² = 11² + 12² - 2(11)(12) · cos B

169 = 121 + 144 - 264 cos B

169 = 265 - 264 cos B

-96 = -264 cos B

[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]

68.7° = B

7) a = 19.2, b = 11.7, c = 16.5, B = ???

   b² = a² + c² - 2ac · cos B

11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B

136.89 = 368.64 + 272.25 - 633.6 cos B

136.89 = 640.89 - 633.6 cos B

-504 = -633.6 cos B

[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]

37.3° = B

8) a = 8.8, b = 12.4, c = 14.1, C = ???

   c² = a² + b² - 2ab · cos C

14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C

198.81 = 77.44 + 153.76 - 218.24 cos C

198.81 = 231.2 - 218.24 cos C

-32.39 = -218.24 cos C

[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]

81.5° = C

Answer:

1,3,5,7,9...

Step-by-step explanation:

All of the answers go up by +2

Answer: u may want to look at your vocabulary

Step-by-step explanation:

anyways: The entire collection of individuals about which information is being sought is called a. population.

Answer:

28.1 - (-6.5) = 34.6

Step-by-step explanation:

Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6

Answer:

yeah it is 34.6

Step-by-step explanation:

Answer:the answer would be i do believe 32

Answer:

1/529

Step-by-step explanation:

[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]

Answer:

1/529

Step-by-step explanation:

just done it on edge

Answer:

9 1/9 per cousin

Step-by-step explanation:

if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.

since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9

Answer:

the answer on eduguinty is 5/48 of the inherrit .

Step-by-step explanation:

:)

Answer:

ggtr

Step-by-step explanation:

GIMME THOSE POINTS

The number of more yards of red fabric Tammy used will be 1/12 yards.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Tammy made a shirt using 1/4 yards of green fabric and 1/3 yards of red fabric.

Then the number of more yards of red fabric Tammy used will be

⇒ 1/3 - 1/4

⇒ (4 - 3) / 12

⇒ 1 / 12

The number of more yards of red fabric Tammy used will be 1/12 yards.

More about the Algebra link is given below.

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Answer:

there are no options given

Step-by-step explanation:

Answer:

The answer would be B because Ms. Shah's class planted four more trees so you would subtract 36 by 4 to get your answer

Answer:

y = 1/2x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

m = 1/2

y = 1/2x + b

Step 2: Find b

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5

Answer:

[tex]x < -2[/tex].

Step-by-step explanation:

It is given that [tex]3x + 6 < 12[/tex] and [tex]6x + 24 < 12[/tex].

For [tex]3x + 6 < 12[/tex],

[tex]3x < 12-6[/tex]

[tex]3x < 6[/tex]

Divide both sides by 2.

[tex]x < 2[/tex]      ...(i)

For [tex]6x + 24 < 12[/tex],

[tex]6x< 12-24[/tex]

[tex]6x< -12[/tex]

Divide both sides by 6.

[tex]x < -2[/tex]      ...(ii)

From (i) and (ii), we get

[tex]x < 2\text{ and }x<-2[/tex]

[tex]\Rightarrow x<-2[/tex]

Therefore, the required answer is [tex]x < -2[/tex].

Answer:

p multiplied by 3 is 3p I'm not great at explaining but that's the answer

Answer:

3p

Step-by-step explanation:

Answer:

-20 + 12y

Step-by-step explanation:

Equation: 10 - 6(5 - 2y)

Step 1:

10 - 30 + 12y          Multiply (5 - 2y) by -6 (distributive property)

Step 2:

-20 + 12y            Subtract 10 by 30 (10 - 30 = -20)

Answer:

[tex]12y-20[/tex]

Step-by-step explanation:

First, we need to distribute.

[tex]= 10+(-6)(5)+(-6)(-2y)= 10+-30+12y[/tex]

Now, we need to combine these terms.

[tex]=10+-30+12y=(12y)+(10+-30)=12y+-20[/tex]

The answer is

[tex]12y-20[/tex]

Answer:

Option D - bottles of orange juice produced in the plant on june 12

Step-by-step explanation:

The population describes the data from which the sample size is gotten.

Now, we are told that A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.

This means that the sample size is 40 bottles. The population from which this sample is gotten is therefore:

bottles of orange juice that were filled on june 12.

Option D is correct

Step-by-step explanation:

Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.

Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid  

Answer:

k = 7/3

Step-by-step explanation:

Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:

5 - 2k = -(-k) - 2

5 - 2k = k - 2

5 - 3k = -2

-3k = -7

k = 7/3

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

Answer:

The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"

45.50 ÷ 7 = ?

As per linear equation, 4th problem can be solved by division of decimals.

"A linear equation is an equation in which the highest power of the variable is always 1."

The given questions are:

1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?

This problem can be solved by multiplication of decimals.

2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?

This problem can not be solved by division of decimals. It requires addition and subtraction.

3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?

This problem can not be solved by division of decimals. It requires subtraction.

4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

This problem can be solved by division of decimals.

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Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

Answer:

[tex] {10}^{3} [/tex]

Answer:

x=−5

Step-by-step explanation:

x+12=7

Step 1: Subtract 12 from both sides.

x+12−12=7−12

x=−5

Answer:

x = -5

Step-by-step explanation:

We subtract 12 on both sides.

After that, we got x = -5

And we're done ^^

Answer:

126

Step-by-step explanation:

because after point no. greater than 5 will definitely

be 1 no. more than that

Answer:

2

Step-by-step explanation:

-4x - 6x = -10x

Divide both sides by -10

Answer:

m = 2x

Step-by-step explanation:

Simplifying

4x + -2m = 0

Reorder the terms:

-2m + 4x = 0

Solving

-2m + 4x = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2m + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0

-2m + 0 = 0 + -4x

-2m = 0 + -4x

Remove the zero:

-2m = -4x

Divide each side by '-2'.

m = 2x

Simplifying

m = 2x

Answer:

Step-by-step explanation:

4x - 2m  = 4*8 - 2*3 = 32 - 6 = 26