The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second number. Set up a system of equations and use the elimination method to find the numbers

Answer: 1. 0.185185185 keeps going

2. 56

3. 63.02

Step-by-step explanation:

The expected pesos after exchange are 3858 , we can find  out by using the concept of exchange rate.

How to calculate currency after exchange rate?

Multiplying the money you have budgeted by the exchange rate .

for example,

If "a" is the money in one currency , you have

"b " is the exchange rate

"c" is the expected money in another currency after exchange.

So, a * b = c

Here, a= $200

b=19.29

now, c = 200 * 19.29

           = 3858.

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The distance between points Math(-3, -5), and English(2, 2) is  8.60 units after using the distance formula.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

Math(-3, -5)

English(2, 2)

Using distance formula:

D = √[(x₂ - x₁)² + (y₂ - y₁)²]

D = √[(2 - (-3))² + (2 - (-5)₁)²]

D = √74

D = 8.60 units

Thus, the distance between points Math(-3, -5), and English(2, 2) is  8.60 units after using the distance formula.

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Answer:

Step-by-step explanation:

4.50 per sandwich

6 sandwiches

4.50 x 6 = 27

+ Delivery fee $10

$27 + $10 =

$37 total

Answer:   huh?

Step-by-step explanation:

huh?

The amount at the end of 30 days, when interest compounded daily is found as $982.53.

The formula for calculating the compound interest is;

A = P(1 + r/100n)∧nt

Where,

Now put the values in the formula.

A = 980(1 + 3.1/3000)∧30(1/12)

A = 980(1.0025)

A= 982.53

Thus, the amount at the end of 30 days, when interest compounded daily is found as $982.53.

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The complete question is-

Mrs.smith deposits $980 in a saving account that pays 3.1% interest compounded daily. Calculate the total amount for 30 days.

The time at which the football is 25 feet above the ground is 1/2 seconds and 21/8 seconds.

Given that:-

[tex]s(t) = -16t^2 + 50t + 4[/tex]

Where s(t) represents the distance traveled by the football after t seconds.

We have to find the time at which the football is 25 feet above the ground.

Putting s (t) = 25 feet, we get,

[tex]25 = -16t^2 + 50t + 4\\\\ -16t^2 + 50t -21=0\\\\ 16t^2 - 50t - 21=0[/tex]

Using middle term split theorem to solve the equation, we get,

[tex]16t^2 -42t -8t+ 21=0[/tex]

2t(8t - 21) -(8t-21) = 0

(8t - 21)(2t - 1) = 0

t = 21/8 and 1/2 seconds.

Hence, the time at which the football is 25 feet above the ground is 1/2 seconds and 21/8 seconds.

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The picture provides to stacks of coins and the number of coins used in both stacks are the same. One stack is straight while the other has been slightly distorted. Nonetheless, since the stacks of coins are congruent, the volume would be the same.

The expression "negative 7 minus one fifth times p end quantity plus the quantity nine tenths times p minus 2 end quantity" is given as "7 over 10 times p minus 9".

The correct answer is option B

negative 7 minus one fifth times p end quantity plus the quantity nine tenths times p minus 2 end quantity

= (-7 - 1/5 × p) + (9/10 × p - 2)

open parenthesis

= (-7 - 1/5p) + (9/10p - 2)

= -7 - 1/5p + 9/10p - 2

= -1/5p + 9/10p - 2 - 7

= (-2p + 9p) / 10 - 9

= 7p/10 - 9

= 7/10p - 9

Therefore, the solution to the fractional expression (-7 - 1/5 × p) + (9/10 × p - 2) is 7/10p - 9

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⇒[tex]T_{n} =a+(n-1)d[/tex] is the formula to find the general term of the arithmetic sequence.

⇒Note to find the second term we will plug in 2 in the place of n in the formular and simplify.

⇒[tex]T_{2} =a+(2-1)d\\T_{2} =a+(1)d\\T_{2} =a+d[/tex]

⇒It is given that the second term is 7 meaning in the place of [tex]T_{2}[/tex] in the equation above since we do not know the value of a and d we will plug in  7 and have the equation [tex]7=a+d[/tex] as our first equation.

⇒ For the fourth term [tex]T_{4}[/tex] we follow the same step of using the general formula to find the nth term by plugging in 4 in the place of n and and simplify

[tex]T_{4} =a+(4-1)d\\T_{4}=a+(3)d\\T_{4}=a+3d[/tex]

In the place of [tex]T_{4}[/tex] plug in 1 for the fourth term is equal to 1 to have the second equation

[tex]1=a+3d[/tex]

Note we can now use the two equations we have now to find the value of a which is the first term and d which is the difference.

7=a+d......1st equation

1=a+3d...2nd equation

∴from the first equation by making a the subject of the equation we get

a=7-d

from the second equation making a the subject of the equation we get a=1-3d

Now let us equate first equation and the second equation since they are both equal to a and solve for d.

[tex]7-d=1-3d\\-d+3d=1-7\\2d=-6\\\frac{2d}{2} =\frac{-6}{2} \\d=-3[/tex]

⇒Now you can see that we have the difference of the arithmetic sequence equal to -3

⇒To find the value of a you can use any of the equations from the ones we created . I will use the equation a=7-d

[tex]d=-3\\a=7-d\\a=7-(-3)\\a=7+3\\a=10[/tex]

⇒ to get the 15th term we will go back to the general formula of finding the nth term in the place if n we will plug in 15 and simplify the formula

[tex]T_{15} =a+(15-1)d\\T_{15}=a+(14)d\\T_{15}=a+14d\\[/tex]

⇒Now we find that the 15th term is equal to a plus 14(d)

⇒Note we already have the value of a and we can just plug them in to find the value of the 15th term and simplify.

[tex]a=10,d=-3\\T_{15}=a+14d\\\\T_{15}=10+14(-3)\\T_{15}=10-42\\T_{15}=-32[/tex]

⇒The 15th term is -32

How many bytes have their second, third, and fourth digit equal to 0.

If we refer to 8-bits, we would have a value from 00000000 to 11111111, there would be a total of 256 values.

Considering that we only need it to have its second, third and fourth digit equal to 0, we can add the values from 2^0 up until 2^4

That would be equal to 31 bytes.

Answer:

Step-by-step explanation:

Ashley had more yarn, 1 yard = 3 ft 3 times 4 = 12 so 3 yards is 12 feet. 

Answer:

Ashley has more yarn than Ramon.

Step-by-step explanation:

1 yard is 3 feet, so thats 4 (yards) time 3 (feet per yard) is 12. Ashley has 12 feet of yarn. Ramon has 11. 12 is greater than 11, so Ashley has more yarn.

Solution:

Let's make,

mechanic #1's rate = x

mechanic #2's rate = y

Note that their rate is dollars per hour.

Now, mechanic #1 worked for 20 hours. Then, we get the following equation:

20x = money earned by mechanic #1

On the other hand, mechanic #2 worked for 15 hours. Then, we get the following equation:

15y = money earned by mechanic #2

together they charged a total of $2250. So the amount of money earned by both mechanics is:

20x + 15y = 2250 EQUATION 1

On the other hand, the sum of the two rates was:

x + y = 125 EQUATION 2

From the equation, if we solve for x, we get:

x = 125-y EQUATION 3

plug (125-y) in for "x" in equation 1 to get everything in terms of one variable:

20(125-y)+15y = 2250

this is equivalent to

2500-20y +15y = 2250

this is equivalent to

2500 -5y = 2250

this is equivalent to

-5y = 2250 -2500

this is equivalent to:

-5y = -250

or

5y = 250

solving for y, we get:

now, replacing this into equation 3, we get:

x = 125-y = 125 - (50) = 75

so that, we can conclude that the correct answer is:

mechanic #1 charged 75 $/hr

mechanic #2 charged 50 $/hr

Answer:

60 meters^2

Step-by-step explanation:

1/2= 3/x

2(3)=x

6=x

1/2=5/x

x=2(5)

x=10

And then we multiply the 2 sides together

10x6

60

Hopes this helps please mark brainliest

Answer:

Many solutions

Answer: (-16)-(-20)= 4

Step-by-step explanation:

For choice (a);

For choice (b);

Both options (a) and (b) have the same price per ounce which is $0.415.

Therefore, none of them is a cheaper option.

Angle 1 = A

Angle 2 = B

They are supplementary, that means that they add 180 degrees, then: A + B = 180

One angle measures 12 degrees less than 3 times the other, tahn means: A - 12 = 3B

Equation 1: A + B = 180

Equation 2: A - 12 = 3B

Solving for A in equation 1:

A + B = 180

A = 180 - B

Using this value into equation 2, and solving for B:

A - 12 = 3B

(180 - B) - 12 = 3B

180 - B - 12 = 3B

168 = 3B + B = 4B

4B = 168

B = 168/4 = 42

B = 42

Using the expression we found for A:

A = 180 - B = 180 - 42 = 138

A = 138

Answer

42 degrees and 138 degrees

The solution for the equations are :

She subtracts 12 from w , divides by 3 , then multiplies by 6 = 2w - 24

She subtracts 12 from w , multiplies by 3 , then divides by 6 = w/2 - 6

She multiplies w by 3 , subtracts 12 , then divides by 6 = w/2 - 2

She divides w by 3 , subtracts 12 , then multiplies by 6 = 2w - 72

She multiplies w by 6 , subtracts 12 , then divides by 3 = 2w - 4

She divides w by 6 , subtracts 12 , then multiplies by 3 = w/2 - 36

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Winnie is thinking of a number = w

Now ,

a)

She subtracts 12 from w , divides by 3 , then multiplies by 6

So , the equation will be

A = ( (w - 12 ) / 3 ) x 6

A = ( w - 12 ) x 2

A = 2w - 24

Therefore , the equation is 2w - 24

b)

She subtracts 12 from w , multiplies by 3 , then divides by 6

So , the equation will be

A = ( ( w - 12 ) x 3 ) / 6

A = ( w - 12 ) / 2

A = w/2 - 6

Therefore , the equation is w/2 - 6

c)

She multiplies w by 3 , subtracts 12 , then divides by 6

So , the equation will be

A = ( 3w - 12 ) / 6

A = w/2 - 2

Therefore , the equation is w/2 - 2

d)

She divides w by 3 , subtracts 12 , then multiplies by 6

So , the equation will be

A = ( ( w/3 - 12 ) ) x 6

A = ( w/3 ) x 6 - 12 x 6

A = 2w - 72

Therefore , the equation is 2w - 72

e)

She multiplies w by 6 , subtracts 12 , then divides by 3

So , the equation will be

A = ( 6w - 12 ) / 3

A = ( 6w ) / 3 - 12/3

A = 2w - 4

Therefore , the equation is 2w - 4

f)

She divides w by 6 , subtracts 12 , then multiplies by 3

So , the equation will be

A = ( w/6 - 12 ) x 3

A = ( w/6 ) x 3 - 12 x 3

A = w/2 - 36

Therefore , the equation is w/2 - 36

Hence , the equations are evaluated and solved

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The multiplication expression will be (3/8 × 4/3) and the resultant answer of this expression will be 1/2.

So, the expression to solve the given fractions will be:

Now, also solve as follows:

Therefore, the multiplication expression will be (3/8 × 4/3) and the resultant answer of this expression will be 1/2.

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Answer:

3/8 x 4/3

(That equals 1/2)

hope this helps. Currently doing this i-Ready lesson right now.

The expression -b³c is the polynomial. The type of the polynomial is cubic polynomial and the degree is 3.

Polynomial:

Polynomial is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Given,

Here we have the expression  -b³c.

And we need to find the following:

1) check it if is polynomial or not

2) type of the polynomial

3) degree.

As per the given definition, the expression -b³c is the polynomial.

Here we have the expression  -b³c the highest power value for this polynomial is 3.

Therefore, the degree of this polynomial is 3 and the type of the is cubic polynomial.

Because we have identify the type based on the degree value here the value of degree is 3 so the type of the polynomial is cubic one.

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EXPLANATION

The measure of the

By applying this theorem we can get the value of the angle CAB as shown as follows:

180 - 90 - 42 = 48 degrees

Then, by the supplementary angles theorem, we can assevere that the sum of supplementary angles is equal to 180 degrees.

180 - 48 = 132 degrees

Hence, the value of the supplementary angle is 132 degrees.

The values of a, b, c are a = -1, b = -14, c = 24

Given expression is f(x)=x³ +ax² + bx+c,

To find out the values of a, b, c:

There are two methods

Method - 1:

(x-2)(x-3)(x+4)= x³ +ax² + bx+c

Now we have to compare coefficients as

a = -1, b = -14, c = -24

Method - 2:

If (x-2) is a factor, then x = 2 is a solution. If x = 2 is a solution, then if we substitute x = 2, the polynomial will equal 0.

The same with x-3 and x+4. We can form 3 equations which we can solve simultaneously.

So, Equation 1 = 8+4a+2b+c = 0

Equation 2 = 27+9a+3b+c = 0

Equation 3 = -64+16a-4b+c = 0

As you can see, we get the same answer, just with a different methods.

Hence the answer is, the values are a = -1, b = -14, c = 24.

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The new coordinates of the point (9, 10) after a rotation of 270 degrees counter-clockwise around the origin are (10, -9).

The coordinates of the point are (9, 10). We perform a transformation on the point. The type of transformation performed is rotation. The rotation is done at an angle of 270 degrees in a counter-clockwise direction around the origin. First of all, we need to convert the angle of rotation from degrees to radians. The angle θ is 270*(π/180) = 3π/2. Let the original coordinates be denoted by (a, b) and the coordinates after rotation be (x, y). We can write the following equations using the theory of rotation.

x = a×cos(θ) - b×sin(θ) = 9×cos(3π/2) - 10×sin(3π/2) = 0 - 10(-1) = 10

y = b×cos(θ) + a×sin(θ) = 10×cos(3π/2) + 9×sin(3π/2) = 0 + 9(-1) = -9

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Answer:

see explanation

Step-by-step explanation:

the domain is the x- coordinates (input) of the ordered pairs, note repeated values are only listed once , then

domain { - 3, 0, 1, 2 }

the range is the y- coordinates (output) of the ordered pairs , note repeated values are only listed once, then

range { 1, 2, 4, 5 }

For the relation to be a function then each value of x must map to one unique value of y.

here - 3 → 1 and 2 → 1

Thus the relation is not a function

From the information available, the puppy weighs 21 1/2 pounds (or 21.5 pounds) at nine weeks old. We shall take this to be the initial value. Hence, we can deduce the following function that relates the weight to the age (in weeks).

However,the puppy gains weight at the rate of 2/5 pounds per week.

Using the weight at nine weeks as the initial value as shown above, we would now have the function re-written as;

However, the weight currently is given as 25 1/10 pounds, and we can insert this into the output of the function and then derive the input, as follows;

1) Since in this pie chart, we have a budget. Let's locate the sectors for Housing, Insurance, and utilities

2) Enlisting them:

Housing: 24.8%

Insurance: 26.7%

Utilities: 12.9%

\%

So we can add them up:

Answer:

Step-by-step explanation: A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

We have the following:

therefore:

The margin the error that corresponds to a sample of size of 5 with mean 75.2 and a standard deviation of 21.2 at a confidence level of 98% is 35.52

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The recursive formula have the following format:

Where 'd' is the common difference between each term.

From the text, we know that

Plugging those values in our formula, we find that the common difference between our terms is 3.

This gives us the following recursive function:

Evaluating the function at '5' and '6', we get the following: