Write and solve an equation for the following:

Answer:

It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0

Answer:

5

Step-by-step explanation:

There are 7 dimes and 9 quarters in his pocket.

If there are 16coins in total, hence;

If hamid has $2. 95 in dimes and quarters, this is expressed as:

From equation 1

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

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2 sin A = √3

=》sin A = √3/2

■ If sin A = √3/2, then A = 60° (trigonometric value)

So,

cot A = cot 60° = 1/√3

1 - cot²A / 2 cot A

= 1 - (1/√3)² / 2*(1/√3)

= 1 - (1/3) / 2/√3

= 2/3 / 2/√3

= 2/3 / 2√3/3

Cancel out the 3 in the denominator.

= 2/2√3

= 1/√3

1 - cot²A / 2 cot A = 1/√3

_____

● See the attachment for the trigonometric values.

Hope it helps ⚜

Answer:

Step-by-step explanation:

Rewrite as:

Substitute the value of sinA:

Answer:

the correct answer is $80

Step-by-step explanation:

your welcome(:

can I get the brainliest?(:

thank me if it was right for you too

She saved 20%.

The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.

Answer:

x < 56

Step-by-step explanation:

- x + 40 > -16

-x + 40 - 40 > -16 -40

-x > -56

-x / -1 > -56 / -1

x < 56

Answer:

0

Step-by-step explanation:

because your making it all to the zero power which equals zero

Answer:

0

Step-by-step explanation:

We will use the rule of order of operations

15 + 4 = 19

20 + 5 = 25

19 squared = 361

3 x 361 = 1083

25 squared = 625

625 x 2 = 1250

New equation =

1083 + 1250

=

2333

But you multiply by 0 so it equals 0

Answer:

Because it can't be written as a Ratio of two integers

Answer:

the BIG B (big base) is 2(5*6)*½ which is 30.

the bottom is 8*5 which is 40.

the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.

30+40+104=174 SQUARE FEET

Answer:

888.125

Step-by-step explanation:

(225/.25) - 11.875

(Divide 225 by .25)

900 - 11.875

888.125

Answer:

15.03m

Step-by-step explanation:

h=V/πr2

h=1700/π·62

h≈15.0313

Hope that helps

The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.

Based on the information given, the equations to solve the question will be:

28s + 4a = 262 ....... i

22s + 2a = 191 ....... ii

Multiply equation i by 2

Multiply equation ii by 4

56s + 8a = 524

88s + 8a = 764

Subtract the equations above

32s = 240

s = 240/32 = 7.5

Student's tickets = $7.5

Adult's ticket will be:

22s + 2a = 191 .

22(7.5) + 2a = 191

165 + 2a = 191

2a = 191 - 165

2a = 26

a = 26/2 = 13

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Answer:

Option B is the correct answer

Step-by-step explanation:

Complimentary angles mean sum of angles is [tex]90^{0}[/tex]

Let the smaller angle be [tex]x[/tex]

Other angle is [tex]90-x[/tex]

We have

Two complementary angles are in the ratio [tex]3: 2[/tex]

[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]

Smaller angle is [tex]36^0[/tex]

Option B is the correct answer

Answer:

kiran will take 48 minutes 16 x 3

mai will take 36 minuttes 13 x 3

Step-by-step explanation:

(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.

(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Kiran rides 4 miles every 16 minutes.

Also, Mai rides 4 miles every 12 minutes.

To find the time taken by Kiran and Mai to reach 12 mile bike paths,

Use ratio property,

Time taken by Kiran to ride 4 miles = 16 minutes,

For 1 mile = 4 minutes,

For 12 miles = 12 x 4 = 48 minutes

Time taken by Mai to ride 4 miles = 12 minutes,

For 1 mile = 3 minutes

For 12 miles = 12 x 3 = 36 minutes.

Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.

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Answer:

Line 3 is the only one that is not a line of symmetry.

Using proportions, it is found that the old minimum wage was of $8.50.

The equation for the relationship between these wages is:

[tex]1.029412x = 8.75[/tex]

[tex]x = \frac{8.75}{1.029412}[/tex]

[tex]x = 8.50[/tex]

The old minimum wage was of $8.50.

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[tex]\huge \bf༆ Answer ༄[/tex]

Plug the values of x and y in the given expression ~

The equivalent value is 19

Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time

Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.

Part C. Olivia's puppy weighed the most. It weighed 5 pounds.

Part D. Camille's puppy only gained 1/2 a pound each week.

Step-by-step explanation:

The original

Equation is V = IR

Where I is multiplied by R

To solve for I you need to isolate it by dividing both sides by R

I = V/ R

Answer: divide both sides by R

Answer:

To make I a subject of the formula V = IR, we divide both sides by R.

Step-by-step explanation:

V = IR

V/R =IR/R

The R in IR/R cancels out because it is on the other side.

We then have:

V/R = I

Which can be written as:

I = V/R

Hope this helps! Have a great day!

Answer:

X=18y+5

EXPLANATION

4(X-5)/8 =9Y

(4X-20)/8 =9Y

4X-20=9Y×8

4X=72Y+20

X=(72Y+20)/4

X=18Y+5

Answer:

10 Weeks

Step-by-step explanation:

If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260.....  260x10=1200 So he would have to work 10 weeks at a minimum.

The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.

The unitary method is used to find the value of a single unit from a given multiple.

For example, the price of 40 pens is Rs. 400

It should be noted that the concept of ratio and proportion is used for problems related to this method.

According to questions,

He makes $300 per week

and spends $40 each week on his expenses.

Therefore his total savings per week = $300 -  $40

                                                              =  $260.

Also he wants to save a total of at least $2,600.

Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260

                       = 10 weeks.

Hence the required number of weeks = 10 weeks.

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Answer:

Answer B:

Step-by-step explanation:

just took the test)))):

the answer: B

ok done. Thank to me :>

Answer:

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

[tex]\frac{54}{24}[/tex] = k = 2.25

z = 2.25xy ← equation of variation

Answer:

−2≤−2 True

6.1<6.1 False

5.6≥5.6 True

5.6≥5.6 True

−4>4  False

Step-by-step explanation:

Hence,  all the statements are true except option (4).

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.

[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].

Hence,  all the statements are true except option (4).

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Answer:

c = $5.50

Step-by-step explanation:

Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:

c = cost of one cheeseburger

s = cost of one soda

Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.

5s + 5c = 33.75

We are given the price of soda, however, so we can insert that number into the equation for s.

5(1.25) + 5c = 33.75

Then we can simplify and solve for c.

6.25 + 5c = 33.75

5c = 27.5

Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.

c = 5.50

So one cheeseburger costs $5.50.

Hope this helps.

Answer:

B, 13.2

Step-by-step explanation:

Multiply 60 by 0.22 for your answer and you get 13.2