What is the solution to the system of equations shown below? Be sure to list your solution as an ordered pair in the form (x,y)

Answer:

The total cost is D) $141

Step-by-step explanation:

To solve we can use the equation: [tex]y=25d+0.10m[/tex]

d= number of days  m= number of miles

We know both of these values so we can plug them in and solve.

y= 25(3) + 0.10(660)

y= 75 + 66

y = 141

Answer:

x = (4z -y)/(3 – y); y ≠ 3

Step-by-step explanation:

3x – xy = 4z - 5y     Factor

  x(3-y) = 4z - y        Divide each side by 3-y

        x = (4z -y)/(3 – y); y ≠ 3

x is undefined when y = 3, so we must include the condition that y ≠ 3.

Answer:

16 times the square root of 6

Step-by-step explanation:

2 radical54 simplifies:

2(radical6 x radical9), which is 6 radical6

and 5 radical24 simplifies:

5(radical6 x radical4), which is 10 radical6,

10 radical6 + 6 radical6=

16 radical6

Answer:

The value of cos 0 = - 2 sqrt(85) /  85 = - 0.216930458

Step-by-step explanation:

cos 0 = ?

Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9

cos 0 = x/r

r=sqrt(x^2+y^2)

Replacing the known values:

r=sqrt( (-2)^2+(9)^2)

r=sqrt(4+81)

r=sqrt(85)

cos 0 = x/r

cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458

Rationalizing:

cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]

cos 0 = - 2 sqrt(85) /  [sqrt(85)]^2

cos 0 = - 2 sqrt(85) /  85

Answer:

0

Step-by-step explanation:

full answer guide attached

Answer:

18 = diameter

Step-by-step explanation:

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

Angle bisector of the triangle.

To find

The angle bisector of a triangle divides the triangle into two similar triangles always, sometimes, or never.

The angle bisector of a triangle divides the triangle into two similar triangles sometimes true and sometimes not true. Because the sum of the angle of the triangle is 180 degrees. But all three angles are not equal.

More about the triangle link is given below.

https://brainly.com/question/25813512

The angle bisector divides a triangle into two similar triangles Option B) sometimes, specifically when the triangle is isosceles.

1. Isosceles Triangle: In an isosceles triangle, two sides are equal in length. When the angle bisector of the vertex angle is drawn, it also bisects the base, creating two congruent triangles (by the Angle Bisector Theorem). Congruent triangles are always similar, so in this case, the statement holds true.

2. Scalene Triangle: In a scalene triangle, none of the sides are equal. When you draw the angle bisector of one of the angles, it won't necessarily bisect any other side into two equal lengths. Hence, the resulting triangles formed by the angle bisector won't necessarily be similar.

So, the angle bisector divides the triangle into two similar triangles sometimes (when it's an isosceles triangle) but not always (when it's a scalene triangle).

Answer:

51.544 L  in our tank

Step-by-step explanation:

We have a 13.6 gallon tank

Our conversion factor is 3.79 L = 1 gallon.  We want liters on top since that is where we want to end up

3.79 L /1 gallon is what we want to use

13.6 * 3.79L/1 gallon = 51.544 L  in our tank

Answer:

The second dealer is better.

Step-by-step explanation:

To figure this out we need to divide the price by the amount of milk. Lets do both at the same time.

3.8/2=   2.7/1.5=

3.8/2=1.9   2.7/1.5=1.8

The second dealer is better.

Price per unit is the cost of the sing unit or measure of goods or the service provided.The second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.

Given information-

First vendor sells 2 liters for $3.80.

Second vendor sells 1.5 liters for $2.70.

Price per unit is the cost of the sing unit or measure of goods or the service provided.

Price per unit helps to compare the two product with there cost. The less will be the price per unit of a product the product will be more cheaper.

Price per unit is the ratio of the total cost to the number of units.

The vendor which provide more milk in less rate will be the better deal.

As first vendor sells 2 liters for $3.80. Thus the price of milk per liter is,

[tex]P_1=\dfrac{3.80}{2} \\P_1=1.90[/tex]

Hence the first vendor sells the 1 liter milk in $1.90.

As Second vendor sells 1.5 liters for $2.70. Thus the price of milk per liter is,

[tex]P_2=\dfrac{2.70}{1.5} \\P_2=1.80[/tex]

Hence the second vendor sells the 1 liter milk in $1.80.

Hence the second vendor sells 1 liter of fresh milk at $1.80 which is $0.10 less than the first vendor. Therefore the second vendor gives the better deal.

Learn more about the price per unit here;

https://brainly.com/question/20038944

Answer: A swimming pool that is 5/10 full.

Step-by-step explanation:

What number(s)?

The correct answer is option (D).

Inequality shows relation between two expression which are not equal to each others.

The graph shows an open circle at -6,

which implies that -6 is not a solution to the inequality.

The shaded arrow on all values shows that values are smaller than -6 and  x < -6 is the inequality that represented on the line graph.

The required inequality is x < -6.

To know more about Inequality on:

https://brainly.com/question/20383699

#SPJ

Answer:

Step-by-step explanation:

It is given that the perimeter of the regular hexagon is 48 inch. Thus,

Perimeter of the regular hexagon = 48

⇒[tex]Sum of all the sides=48[/tex]

⇒[tex]6x=48[/tex]

⇒[tex]x=8inch[/tex]

Thus, the side of the regular hexagon is 8 inch.

Now, [tex]area of the regular hexagon=\frac{3\sqrt{3}}{2}(x)^2[/tex]

⇒[tex]A=\frac{3\sqrt{3}}{2}(8)^2[/tex]

⇒[tex]A=\frac{3\sqrt{3}}{2}(64)[/tex]

⇒[tex]A=96\sqrt{3}[/tex]

⇒[tex]A=166.03 sq inches[/tex]

Thus, the area of the regular hexagon is 166.03 sq inches.

The area of the regular hexagon that's given will be 166.03 inches².

From the information, it was stated that the regular hexagon has a perimeter of 48 inches.

Therefore, the length of each side will be:

= 48/6

= 8 inches

The area of a regular hexagon calculated as:

= 3✓3/2 × x²

= 3✓3/2 × 8²

= 96✓3

= 166.03

In conclusion, the area is 166.03 inches².

Learn more about hexagon on:

https://brainly.com/question/3812956

Answer:

The jogging rate of Matthew is 5 mph.

Step-by-step explanation:

Let the jogging rate of Matthew be x mph.

It is given that his jogging rate was 25 mph slower than the rate when he was riding. So, the riding rate is (x+25) mph.

The distance between Matthew and his friend's house is 12 miles.

[tex]Speed=\frac{Distance}{Time}[/tex]

[tex]Time=\frac{Distance}{Speed}[/tex]

The time taken by Matthew in jogging is [tex]\frac{12}{x}[/tex] and the time taken by Matthew in riding is [tex]\frac{12}{x+25}[/tex].

It took him 2 hours longer to jog there than ride back.

[tex]\frac{12}{x}=\frac{12}{x+25}+2[/tex]

[tex]\frac{12}{x}-\frac{12}{x+25}=2[/tex]

[tex]\frac{12(x+25)-12x}{x(x+25)}=2[/tex]

[tex]12x+300-12x=2x(x+25)[/tex]

[tex]300=2x^2+50x[/tex]

[tex]0=2x^2+50x-300[/tex]

[tex]0=x^2+25x-150[/tex]

[tex]0=x^2+30x-5x-150[/tex]

[tex]0=(x+30)(x-5)[/tex]

Equate each factor equal to 0.

[tex]x=5,-30[/tex]

The speed cannot be negative, therefore the jogging rate of Matthew is 5 mph.

Answer:

the answer is D

Step-by-step explanation:

Answer:

14.39

Step-by-step explanation:

a^2 + b^2 = c^2

33^2 + b^2 = 36^2

1089 + b^2 = 1296

1089 - 1089 + b^2 = 1296 - 1089

b^2 = 207

b = 14.39

Answer:

∠RQP

Step-by-step explanation:

I think it's "Adrienne did not enter her ATM withdrawal correctly"

Answer:

" Adrienne did not enter her ATM withdrawal correctly."

D.

Step-by-step explanation: <3

Answer:

Option 4 which is 1,430.

Step-by-step explanation:

Step 1

In this this step we will break up the terms in the summation symbol using the rules for manipulation summations.

[tex]\sum_{i=1}^{n}(aX^2_i+k)=\sum_{i=1}^{n}(aX)+\sum_{i=1}^{n}k\\\\\sum_{i=1}^{n}(aX^2_i+k)=a\sum_{i=1}^{n}X^2+nk.[/tex]

This means that for our case, the sum can be simplified to be,

[tex]\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2+11\times(-8)\\\\\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2-88[/tex]

Step 2

In this step we use the formula for the sum of the first n squares to evaluate the first part of the sum in step 2. The formula for the sum of the first n squares is,

[tex]\sum_{i=1}^{n}n^2=\frac{n(n+1)(2n+1)}{6} \\\\\implies\sum_{i=1}^{11}i^2=\frac{11(11+1)(2\times 11+1)}{6} =506[/tex]

Step 3

In this step we use the result from step 1 to evaluate the sum.[tex]3\sum_{i=1}^{11}i^2-88=3(506)-88=1,430.[/tex]

The correct answer is Option 4,which is  1,430.

Answer:

[tex]\boxed{\boxed{\sum_{i=1}^{11}(3i^2-8)=1430}}[/tex]

Step-by-step explanation:

The given expression is,

[tex]\sum_{i=1}^{11}(3i^2-8)[/tex]

[tex]=\sum_{i=1}^{11}(3i^2)-\sum_{i=1}^{11}(8)[/tex]

[tex]=3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)[/tex]

we know that,

[tex]\sum_{i=1}^{n}i^2=\dfrac{n(n+1)(2n+1)}{6}[/tex] and

[tex]\sum_{i=1}^{n}c=cn,\text{ Where c is a constant}[/tex]

Hence,

[tex]3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)=3\left(\dfrac{11(11+1)(2(11)+1)}{6}\right)-8(11)[/tex]

[tex]=3\left(\dfrac{11(12)(23)}{6}\right)-8(11)[/tex]

[tex]=3\left(506}\right)-8(11)[/tex]

[tex]=1518-88[/tex]

[tex]=1430[/tex]

Answerenise's rock sample has  

38

,

890

centigrams more mass than that of Pauline

:

Step-by-step explanation:

Answer: [tex]F=15N[/tex]

Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

[tex]F=ka[/tex]

Where [tex]F[/tex] is the force acting on the object, [tex]a[/tex] is the object's acceleration and [tex]k[/tex] is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting [tex]F=18[/tex] and [tex]a=6[/tex] into the equation and solving for [tex]k[/tex]:

[tex]18=k6\\k=\frac{18}{6}\\k=3[/tex]

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

[tex]F=3(5)\\F=15[/tex]

3. The result is:

[tex]F=15N[/tex]

The acceleration that an objects gains is given by the mass of the object.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

[tex]Mass, \, m = \dfrac{F}{a}[/tex]

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

[tex]Mass \ of \ the \ object, \, m = \dfrac{18 \, N}{6 \ m/s^2} = 3 \, kg[/tex]

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Learn more here:

https://brainly.com/question/17067013

Answer:

the answer is 16

Step-by-step explanation:

25-9=16 pens

Answer:25-9= 16 pens

Step-by-step explanation:

Answer: The Perimeter is 90 meters

Step-by-step explanation:

Area = 126

Width = 3

Length = L

3 x L = 126

3 x L / 3 = 126/3

L = 42

Check:

3 x 42 = 126

126 = 126

Perimeter = L2 + W2

P = 42 x 2 + 3 x 2

P = 84 + 6

P = 90

Divide 8.75 by 35 and multiply the result by 100 to get 25 hours.

f(-4) This means that x is -4, so you can plug in -4 for "x" in the equation

f(x) = 5x + 5

f(-4) = 5(-4) + 5

f(-4) = -20 + 5

f(-4) = -15

Answer: 27-c =x

Step-by-step explanation:

We'll use c to represent the amount taken away (subtracted) and x to represent the amount left (the answer).

We begin with 27 balloon, and take away c amount to make x.

27-c =x

The number of balloons left after c balloons have popped from an initial number of 27 balloons can be represented by the mathematical expression 27 - c.

In order to determine the number of balloons that were left after some of them had popped, we can use a simple mathematical expression. If there were initially 27 balloons and c balloons popped, then the number of balloons left would be the initial number of balloons minus the number popped.

Mathematically, this can be represented by the expression: 27 - c.

The variable c is used to represent the number of balloons that popped during the party. By subtracting this from the total number of balloons, we're left with the number of balloons that survived the party.

https://brainly.com/question/30350742

#SPJ3

Answer:

2 hours

Step-by-step explanation:

To find out how much she has read, we multiply the number of nights by how much read per night

time read = 8 nights * 1/4 hours per night

time read = 8/4 hours

time read = 2 hours

Answer: 2 weeks?

Step-by-step explanation: 1/4 x 8= 2

Answer:

-g * (2+5)

Step-by-step explanation:

The opposite of g times the quantity 2 plus 5

Opposite means put a negative sign

times means multiply

Quantity means parenthesis

plus means addition

-g * (2+5)

The problem 'The opposite of g times the quantity 2 plus 5' translates into the mathematical equation -g*(2+5) or -g*7 in which g is multiplied by 7, and the result is negated.

The word sentence 'The opposite of g times the quantity 2 plus 5' can be represented by the equation -g*(2+5) or -g*7, where * denotes multiplication, + denotes addition, and - denotes opposite or negation. Therefore, the interpretation of the sentence is 'multiply g by 7 and then take the opposite or negative of the result'. The use of parentheses ( ) in the equation ensures we first perform the addition within, according to the order of operations in math, most commonly known as BIDMAS/BODMAS or PEMDAS rules.

https://brainly.com/question/29021969

#SPJ3