Find the area of these composite shapes

Answer:

There are 6 dimes and 9 quarters.

Step-by-step explanation:

Represent the number of dimes and the number of quarters by d and q.

Then d + q = 15, or q = 15 - d.

Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.

Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or

75 - 5d + 2d = 57, or

75 - 3d = 57, or

3d = 18.  Thus, there are 6 dimes.  Since q = 15 - d, q = 15 - 6 = 9.

There are 6 dimes and 9 quarters.

The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.

To solve this, we can set up two equations based on the number of coins and their total value.

Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:

d + q = 15

The second equation is based on the total value of the coins:

0.10d + 0.25q = 2.85

To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:

d + 2.5q = 28.5

Subtracting the first equation from this results in:

1.5q = 13.5

Dividing by 1.5 gives us the number of quarters:

q = 9

Substituting q = 9 into the first equation gives us the number of dimes:

d + 9 = 15

d = 6

Therefore, there are 6 dimes and 9 quarters in the cup.

Look at the attached picture ⤴

Hope it will help u..

Answer

Answer:

growth

Step-by-step explanation:

srry im late

64 - (3y + 8y + y) / 40 = 37

Simplify 3y + 8y + y

64 - 12y / 40 = 37

Add 12y / 40 to both sides and subtract 37

27 = 12y / 40

Multiply both sides by 40

1080 = 12y

Divide both sides by 12

90 = y

Answer:

y=90

Step-by-step explanation:

Collect the like terms first (3y, 8y, and y) and add them together, which gives you 12y. Equation looks like this so far 64-12y/40=37

Divide the -12 by 40, which can be reduced to -3/10.Equation so far: 64-3/10y=37

Multiply each side by 10 to cancel out the 10 in -3/10y. Equation so far: 640-3y=370

Use inverse operations to move the 640 with the 370. Equation so far: 3y=370-640

Subtract 640 from 370, which gives you -270. Then you'll have -3y=-270 and divide both sides by -3.

Answer:

0.926

Step-by-step explanation:

5/12 as a decimal is 0.416 and

5/9 as a decimal is 0.5 repeating

You just have to turn the fraction into a decimal and

add those together.

So your final equation would be 0.416+0.5

Answer:

35/36

Step-by-step explanation:

The least common denominator for both 12 and 9 is 36.

5        3 = 15

—  X         —

12        3 = 36

5      4 = 20

–   X

9     4 = 36

15+20 = 35

so, 35/36

Hope this help, have a great day, and Stay Safe.

:)

Answer:

201

Step-by-step explanation:

The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = 2x + 4 → (1)

y = x² + x - 2 → (2)

Substitute y = x² + x - 2 into (1)

x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )

x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )

Answer:

A

Step-by-step explanation:

15x+35=65

15x=30

x=2

Answer: X= 2

Step-by-step explanation:

We know that 15 + 35 = 50.

But we still need to figure out the X, out of the options multiply it by 2 will get you 30. If we have 30 then we can complete our equation.

15x2 = 30 + 35 = 65

Hope this helps :D

Answer:

Hence After 2 years from 2009 to 2011 THe price for share of stock will be 5.8141 $

Step-by-step explanation:

Given:

Initial price=$5.36

Rate=4.15 %

To Find:

Function which represents the growth price for stock market?

Solution:

As the function is growing one and with same rate and depends upon the time period ,

So the exponential function as

[tex]P=A(1+R)^t[/tex] will the required function ,

So P will be price of stock at t time period with R as rate for  function.

A be the previous year price

From 2009 to 2013 rate is 4.15 %

we have to find price after 2 years

So t=2  , A at 2009 =5.36$

So P at 2011 will be given by,

[tex]P=A(1+R)^t[/tex]

[tex]P=5.36(1+0.0415)^2[/tex]

[tex]P=5.36(1.0415)^2[/tex]

[tex]P=5.8141 $[/tex]

From 18 wolves to 27 wolves, what was the increase? 27 - 18 is 9, so the increase was 9.

How much of 18 is 9? 9 / 18 is equal to 1 / 2, which is 0.5. To make 0.5 a percent we multiply by 100.

0.5 times 100 is 50%.

Can you give us the options so we can try to help you?

These are the dilations

Answer:

2/7

Step-by-step explanation:

Even numbers: 6, 8, 10, 20

P(E1) = 4/7

P(E2) = 3/6

4/7 × 3/6

2/7

Step-by-step explanation:

Tn = n² - 3

Now

the first three terms

t1 = 1² - 3 = 1 - 3= -2

t2 = 2² - 3= 4 - 3 = 1

t3 = 3² - 3 = 9 - 3 = 6

----------------

The first three terms are -2 , 1 , 6

and

tenth term

t10= 10² - 3= 100-3 = 97

Hope it will help you :))

Answer:

-2, 1, 6  and the 10th is 97

Step-by-step explanation:

to find the terms, in a row, replace n with 1

nth = 1^2 -3   -2 is the answer  (1^2) is 1 -3 = -2

then replace the n with 2, 3, 4 etc till you have your sequence

nth = 2^2 -3  1 is the answer (2^2) is 4 -3 = 1

nth = 3^2 -3  6 is the answer (3^2) is 9-3 = 6

nth = 4^2 -3  13 is the answer (4^2) is 16-3 = 13

nth = 5^2 -3  22 is the answer (5^2) is 25-3 = 22

etc to 10

nth = 10^2 -3 97 is the answer (10^2) is 100 - 3 = 97

sequence is -2, 1, 6, 13, 22, . . . . 97

Answer:

they will need 1,400,000

Step-by-step explanation:

1 ton is 2,000 pounds. so 700x 2,000=1,400,000

Answer:

7/9

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

Slope is rise/run

In the picture the graph 'raises' by -1 (Because its going down) and runs by 1

so the slope is -1/1 or -1

Answer:

They are called tie's

Step-by-step explanation:

They basically mean to carry the note out longer so instead of it being 4 beats its now 8

Hope that helped!

Answer:

45√q^5

Step-by-step explanation:

Answer: she needs a 9 from the fifth judge

Step-by-step explanation: so you have 5 judges and to get a perfect score you need 8. when you multiply the amount of judges by the score of 8 you get 40 witch is 100%, and when you add 6+8+9+8 you get 31 so there is 9 missing to get 40 so the answer is 9.

Answer:

Independent event

Step-by-step explanation:

Answer:

a triangle

Step-by-step explanation:

Answer:

a right triangle

The answer is C

Insert y=X-2 into the equation y=-X+2

You will get the point (2,0)

Insert y=2X-1 into the same equation

you will get the point (1,1).

Without solving for the last point

you will realize that your answer is C

Note: This approach is appropriate for solving objective questions

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

[tex]c^{2} = a^{2} + b^{2} - 2ab (cos(c))[/tex]

By inserting the values in the formula, we get

[tex]c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )[/tex]

[tex]c^{2} = 16 + 36 + 12[/tex]

[tex]c^{2} = 64[/tex]

[tex]\sqrt{c^{2} } = \sqrt{64}[/tex]

c = 8.

Therefore, the length of side c would be 8.

The length of side [tex]\( c \)[/tex] is 8. The option (1) is correct.

To find the length of side [tex]\( c \)[/tex] in triangle ABC given [tex]\( a = 4 \), \( b = 6 \)[/tex], and [tex]\( \cos C = -\frac{1}{4} \),[/tex] we use the cosine rule:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos C \][/tex]

Substitute the given values:

[tex]\[ c^2 = 4^2 + 6^2 - 2 \cdot 4 \cdot 6 \cdot \left(-\frac{1}{4}\right) \][/tex]

[tex]\[ c^2 = 16 + 36 + 12 \][/tex]

[tex]\[ c^2 = 64 \][/tex]

Now, take the square root of both sides to find [tex]\( c \):[/tex]

[tex]\[ c = \sqrt{64} \][/tex]

[tex]\[ c = 8 \][/tex]

Therefore, the length of side [tex]\( c \)[/tex] is 8.

Answer:

Step-by-step explanation:

hello :

sinx = - -√2/2        0°≤x≤360°

x = 225°

x= 315°

The value of x in this equation is 315°

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here:

Sinx= -√2/2

x     =sin⁻¹( -√2/2)

x      = -45°

Therefore positive angle of x is given by 360-45=315°

Hence, The value of x in this equation is 315°

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Answer:

21

Step-by-step explanation:

At the intersection of two lines, the x's are equal and the y's are equal. We may set 2x - 13 = 92 - 3x to find an x, where the y's are equal.

2x - 13 &= 92 - 3x  

5x = 105

x  =21

Answer:x=7 y=5

Step-by-step explanation:

I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.

Answer:

-4

Step-by-step explanation:

magic

Answer:

4c=4 c=3/4

Step-by-step explanation:

B is the correct answer with the explanation of a score of 90 on a test with a mean of 86 and a standard deviation of 18.

The highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values.

Given that, three students take equivalent stress tests, we need to calculate the highest relative score among them,

Z-score = X-μ / σ,

X = observed value, μ = mean and σ = standard deviation

a) A score of 144 on a test with a mean of 128 and a standard deviation of 34 :-

Z-score = X-μ / σ

Z-score = 144-128 / 34 = 0.47

b) A score of 90 on a test with a mean of 86 and a standard deviation of 18 :-

Z-score = X-μ / σ

Z-score = 90-86 / 18 = 0.22

c) A score of 18 on a test with a mean of 15 and a standard deviation of 5​ :-

Z-score = X-μ / σ

Z-score = 18-15 / 5 = 0.6

Hence, the highest relative score is of the student with a score of 18 on a test with a mean of 15 and a standard deviation of 5​

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