evaluate 0.3y+ y/z when y= 10 and z=5

For this case we have the following system of equations:

[tex]x + y = -9\\4x + y = -19[/tex]

We multiply the first equation by -4:

[tex]-4x-4y = 36[/tex]

We have the following equivalent system of equations:

[tex]-4x-4y = 36\\4x + y = -19[/tex]

We add the equations:

[tex]-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}[/tex]

We find the value of the variable "x":

[tex]x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}[/tex]

Thus, the solution of the system is:

[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]

See the graphic in the attached image

ANswer:

[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]

See the graphic in the attached image

Answer: D

Step-by-step explanation:

Edge 2021

-p - 4p > -10

-5p > -10

p < 2

Hope this helps! ;)

Answer:

Raquel spend 2 hr 15 Minutes at the volley ball game and 1 hour at the lunch

Step-by-step explanation:

Time Spent at the Volley ball match

The difference of 11:45 and 9 :30 is 2:15 which indicate she spend 2 hour and 15 minutes at the lunch.

sameway , from 12 pm to 1 pm , it encounter a difference of 1 Hour.

hence , she spent 1 hr at lunch.

The circumference of circle P is 6π ft. This corresponds to option (b) in the choices provided.

Understanding the Problem: The problem provides the length of the line segment PA, which is considered the radius of circle P.

Circumference Formula: The circumference of a circle is the distance around its edge. The formula to calculate it is C = 2πr, where C is the circumference and r is the radius.

Identifying the Radius: In this problem, PA is given as 3 ft. This represents the radius of circle P.

Substituting Values into the Formula: We substitute the given radius into the circumference formula:

  C = 2π ˣ 3 ft

Calculating: We perform the multiplication to find the circumference:

C = 6π ft

Complete Question:

What is the circumference of circle P?

PA = 3 ft

Express your answer in terms of π.

a. 3π ft

b. 6π ft

c. 12π ft

d. 24π ft

Answer:

The answer is b. $ 74.75

Step-by-step explanation:

Data:

Let x be the value of items to be insured.

1. if the items are more than $ 3 000 it means that x is greater than  $  3000 and the annual premium will be 23 % of the total value.

2. if the items are less or equal to  $ 3 000, it means that x ≤ $ 3 000 ( in other words, x is less than or equal to $ 3 000)

The annual premium for the goods will be:

annual premium = 23 % × $ 3900

                          = $ 897

However, the premium is supposed to be paid monthly. Divide the total premium by 12 to get:

$ 897/12 = $ 74.75

This is option c.

Answer:

The co-ordinates of A' is

A)  [tex](-2,\frac{14}{3})[/tex]

Step-by-step explanation:

Given point:

(-3,7)

The point is dilated with a scale factor  [tex]r=\frac{2}{3}[/tex]  with the center of dilation at the origin.

To find the co-ordinates of the dilated point A'.

Solution:

Any  point dilated with the center of dilation at the origin with a scalar factor [tex]k[/tex] is given by:

[tex]D(x,y)\rightarrow D(kx,ky)[/tex]

Thus, the point (3,-7) dilated with a scale factor  [tex]r=\frac{2}{3}[/tex]  with the center of dilation at the origin  is given as :

[tex]A(-3,7)\rightarrow A'(\frac{2}{3}\cdot -3,\frac{2}{3}\cdot 7)[/tex]

[tex]A(-3,7)\rightarrow A'(-2,\frac{14}{3})[/tex]

Thus, the co-ordinates of A' is [tex](-2,\frac{14}{3})[/tex].

Answer:

all real values of x except x=5

Step-by-step explanation:

If [tex]f(x) = x2 – 25 and g(x) = x – 5,[/tex]

Then the domain is all real values of x except [tex]x=5[/tex].

The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5), and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Learn more about the domain in math here: https://brainly.com/question/24539784

#SPJ2

Answer:

2) Option 9.4 is correct

Therefore the length of the given line segment is [tex]s=9.4[/tex] units

3) Option (1,1) is correct

Therefore the midpoint of the given line  segment is M=(1,1)

Step-by-step explanation:

2) Given that the line segment CD with endpoints C at (-3,1) and endpoint at D (5,6)

To find the length of the given line segment :

That is to find the distance of the end points using distance formula

[tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] units

Let [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] be the given points (-3,1) and (5,6) respectively

Substitute the points in the distance formula we have

[tex]s=\sqrt{(5-(-3))^2+(6-1)^2}[/tex] units

[tex]=\sqrt{(5+3)^2+(5)^2}[/tex] units

[tex]=\sqrt{8^2+5^2}[/tex]

[tex]=\sqrt{64+25}[/tex]

[tex]=\sqrt{89}[/tex]

[tex]=9.4[/tex]

Therefore [tex]s=9.4[/tex] units

Option 9.4 is correct

Therefore the length of the given line segment is [tex]s=9.4[/tex] units

3) Given that the line segment PG with point P at (-6,4) and point at G (8,-2)

To find the midpoint of the given line segment :

Midpoint formula is [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Let [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] be the given points (-6,4) and  (8,-2) respectively

Substituting the points in the midpoint formula we get

[tex]M=(\frac{-6+8}{2},\frac{4-2}{2})[/tex]

[tex]=(\frac{2}{2}+\frac{2}{2})[/tex]

[tex]=(1,1)[/tex]

Therefore M=(1,1)

Therefore option (1,1) is correct

Therefore the midpoint of the given line  segment is (1,1)

Answer:

y=-3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-3(x-0)

y-4=-3(x)

y-4=-3x

y=-3x+4

Answer:

24

Step-by-step explanation:

We want to set up an expression involving 1, -6, -7, -3.

-6*-3--7+1

We use BODMAS to simplify:

We multiply to get:

18--7+1

We now add to obtain:

18--6

Note that negative negative gives addition.

Therefore:

18+6

This finally simplifies to:

24

Answer:

72

Step-by-step explanation:

72 i did the math

Answer:

1 and 2 or A

Step-by-step explanation:

it is only what macks seans

Answer:

Step-by-step explanation:

2/5=6/15

1/3=5/15

Answer:

6/15 and 5/15

Step-by-step explanation:

multiply 2/5 by 3 and 1/3 by 5

Answer:

answer is 148y + 102

Step-by-step explanation:

First add like terms 14y + 134y = 148y

then add the whole numbere 112 + 2 = 114

then subtract 114 - 12 = 102

and you get 148y + 102

Answer:

Eight plus twenty four equals thirty two

have an amazing day! (❁´◡`❁)

Step-by-step explanation:

The word equation for "eight more than the number of children is 24" can be written as:

Number of children + 8 = 24

Let's break it down step by step:

1. Identify the unknown: The unknown in this equation is the number of children. Let's represent it as "x".

2. Translate "eight more than the number of children" into mathematical language: "Eight more than" means adding 8 to the number of children.

3. Write the equation: The equation becomes x + 8 = 24.

To find the value of x, we need to isolate it on one side of the equation. We can do this by subtracting 8 from both sides:

x + 8 - 8 = 24 - 8

Simplifying further:

x = 16

Therefore, the number of children is 16.

It's important to note that the word equation can be translated into different mathematical expressions. For example, another way to represent "eight more than the number of children is 24" would be:

Number of children = 24 - 8

This equation would also yield the same answer: 16.

Remember, word equations help us represent real-life situations in mathematical form, allowing us to solve problems and find solutions.

Answer:

10

Step-by-step explanation:

Divide 40 by 4, and you get 10. 10 rows.

Answer:

x = 3 or x = -3

Step-by-step explanation:

If x^2 - 9 = 0 we transfer 9 to the right side of the equation and it's change negative sign to positive while doing so

now we have x^2 = 9 the square of a number must be equal to a positive number in real numbers

but the root can be either negative or positive so we say x = 3 or x = -3

Answer:

2-x=1

2-1=1

Step-by-step explanation:

1 + 1 - 1 x 1 / 1.

Uses all 4 basic symbols.

Answer:0.8

Step-by-step explanation:

Answer:

  37.0

Step-by-step explanation:

Half of x is the longer leg of the right triangle shown. That leg length can be found using the Pythagorean theorem:

  x/2 = √(24.6² -16.2²) = √(605.16 -262.44) = √342.72

  x ≈ 2×18.513 ≈ 37.025 . . . . . . rounding to 3 decimal places

  x ≈ 37.0

Cost of item of $ 310 including the sales tax is $358.05.

Convert the percentage rate of sales tax to a decimal by dividing the percentage by 100.

A 15.50% sales tax rate becomes 0.155 when converted to a decimal.

After performing the multiplication, you will get the amount of sales tax that needs to be added to the item's price. So, $310  x 0.155 = $48.05.

Therefore, the total cost of the item after sales tax would be the original price plus the amount of sales tax, which is $310 + $48.05 = $358.05.

Answer:

4.2

Step-by-step explanation:

5.7-1.5=4.2

Answer: x = 4.2

Explanation: If we're asked to solve for x in the equation x + 1.5 = 7.5, what we're really being asked to do is get x by itself on one side of the equation.

So if we take a look at the left side of our equation, notice that 1.5 is being added to x so in order to get x by itself, we must subtract 1.5 from the left side of the equation. Now remember your first rule of solving equations. If we subtract 1.5 from the left side of the equation, we must also subtract 1.5 from the right side of the equation.

So on the left side our +1.5 and -1.5 cancel out and we're simply left with x. On the right side of the equation,

5.7 - 1.5 simplifies to 4.2 so our answer is x = 4.2.

The nice thing about solving equations is that you can always check your answer by plugging it back in to the original equation.

So here, we're gonna plug a 4.2 back in for x in the original equation and we get (4.2) + 1.5 = 5.7.

Since 4.2 + 1.5 = 5.7 is a true statement, our answer checks and we know that it's right.

Answer:

a = −6

Step-by-step explanation:

Step 1: You should divide both sides by 2.

[tex]23+a=\frac{34}{2}[/tex]

Step 2: then simplify [tex]\frac{34}{2}[/tex] into 17.

23 + a = 17

Step 3: next, you need to subtract 23 from both sides.

a = 17 − 23

Step 4: lastly, Simplify 17 − 23 to −6 and you're done!

a = −6

Answer:

a = -6

Step-by-step explanation:

2 (23 + a) = 34

46 + 2a = 34

2a = 34 - 46

2a = - 12

a = - 12/2

a = - 6

Answer:

The given sum expressed in sigma notation is

Step-by-step explanation:

Given series is [tex]\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]

The given sum expressed in sigma notation is

Answer:

Option 2

Step-by-step explanation:

1/64 = 4^-3

1/16 = 4^-2

1/4 = 4^-1

1 = 4^0

4 = 4^1

Answer:

The correct answer is: [tex]4\frac{3}{5}[/tex]

Step-by-step explanation:

According to the rule of BODMAS, division is done before addition.

So, in a + b ÷ c, we will first calculate,  b ÷ c

Given b =  [tex]2\frac{2}{5}[/tex] = [tex]\frac{12}{5}[/tex] , c = [tex]\frac{3}{4}[/tex] .

So, [tex]\frac{b}{c}[/tex] = [tex]\frac{12}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

So, [tex]\frac{b}{c} = \frac{12}{5} \times\frac{4}{3}[/tex] , as the numerator and denominator gets reversed as division is changed to multiplication.

So, [tex]\frac{b}{c} = \frac{16}{5}[/tex] .

Next the value of a to  [tex]\frac{b}{c}[/tex]  , where, [tex]a = 1\frac{2}{5} = \frac{7}{5}[/tex], we get,

[tex]\frac{7}{5} +\frac{16}{5} = \frac{23}{5} = 4\frac{3}{5}[/tex].

Answer:

16 x 9 = 144 144 is the answer.

Step-by-step explanation:

Answer:

2/5+0.6=1 and 9/10+0.1=1

Step-by-step explanation:

1-2/5=3/5

3/5=0.6

1-9/10=1/10

1/10=0.1

Answer:

36

Step-by-step explanation:

Easy math all you have to do is look at he problem

Answer:

the answer would be is 6

Answer:

a

Step-by-step explanation:

Answer:

y=4x-22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-10)=4(x-3)

y+10=4x-12

y=4x-12-10

y=4x-22