Which expression is equivalent to (2r2+r - 1) – (3r2+48 - 5)?
-p2 – 3r+4
°-p2 + 58 - 6
5r²+5r-6
5r2 - 3r + 4

Final answer:

The problem involves creating two linear equations based on the given information and then solving them simultaneously to find that there are six 6-volt batteries and four 12-volt batteries among the ten.

Explanation:

Solving the Battery Voltage Problem

To solve the problem, we will use a system of linear equations. Let's denote the number of 6-volt batteries as x and the number of 12-volt batteries as y. Since there are ten batteries in total, we can write the following equation:

1. x + y = 10 (Equation for the total number of batteries)

The sum of voltages of all batteries is given to be 84 volts. Each 6-volt battery contributes 6 volts and each 12-volt battery contributes 12 volts to the total voltage. We can write the second equation for the sum of the voltages:

2. 6x + 12y = 84 (Equation for the total voltage from the batteries)

To find the values of x and y, we can simplify the second equation:

3. Divide the second equation by 6:

x + 2y = 14

Now we can subtract the first equation from this new equation to find the value of y:

4. (x + 2y) - (x + y) = 14 - 10

5. y = 4

Now that we know there are four 12-volt batteries, we can use the first equation to find the number of 6-volt batteries:

6. x = 10 - y

7. x = 10 - 4

8. x = 6

Therefore, the group consists of six 6-volt batteries and four 12-volt batteries.

Answer:

4/1 = 4

So positive because it's a positive 4.

Step-by-step explanation:

4/1 = 4

if you divide 4 into 1 piece it will still be intact. It would be the one piece that you have. So, the answer is positive. Positive 4.

Step-by-step explanation:

We know: 1 hour = 60 minutes

60 - 32 = 28

32 past 8 o clock is the same as 28 to 9 o clock.

Answer:ssssssss

Step-by-step explanation:

Final answer

Triangle FAD and triangle BEC is congurent by SSS rule

Explanation

For port (a), determine whether the triangles are congruent by SSS or SAS. If not congruent. wille "not congruent." If congruent, write a congruency statement

From figure 11

We can clearly see that pq is a common line foe both the triangle

FD=BE (COMMON)

FA=BC (GIVEN)

AD=EC (given)

Then we can sat that:

triangle FAD and triangle BEC is congurent by SSS rule

Learn more about Proving Congruent Triangles here:

https://brainly.com/question/11895545

#SPJ2

Answer:

5^12

Step-by-step explanation:

When you have a question where a number is raised to the power of twice you just multiply both exponents. In this case 4x3=12

So 5 to the power of 4 to the power of 3 is 5 to the power of 12

Answer:

The equation in point slope form is [tex]y-6=\frac{1}{3}(x-4)[/tex]

The equation in slope intercept form is [tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](-5,3),(4,6)[/tex]

Substitute the values

[tex]m=\frac{6-3}{4+5}[/tex]

[tex]m=\frac{3}{9}[/tex]

simplify

[tex]m=\frac{1}{3}[/tex]

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=\frac{1}{3}[/tex]

[tex](4,6)[/tex]

substitute

[tex]y-6=\frac{1}{3}(x-4)[/tex] ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

[tex]y-6=\frac{1}{3}(x-4)[/tex] ----> convert to slope intercept form

[tex]y-6=\frac{1}{3}x-\frac{4}{3}[/tex]

[tex]y=\frac{1}{3}x-\frac{4}{3}+6[/tex]

[tex]y=\frac{1}{3}x-\frac{14}{3}[/tex]

Good morning ☕️

______

Answer:

800

_____________________

Step-by-step explanation:

758 rounded to the nearest hundred 800 because 5 is greater than 4.

:)

Answer:

H = -3

Step-by-step explanation:

H - 26 = -29

    +26   +26

H = -3

H-26=-29

move -26 to the other side

sign changes from -26 to +26

H-26+26=-29+26

H=-29+26

Answer: H=-3

Answer:

y = 2x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x - 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2, thus

y = 2x + c ← is the partial equation of the line

To find c substitute (1, - 4) into the partial equation

- 4 = 2 + c ⇒ c = - 4 - 2 = - 6

y = 2x - 6 ← equation of line

Answer:

(a+b)2 = a2 + b2

Step-by-step explanation:

Answer:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Step-by-step explanation:

We have been given an incomplete statement [tex](a+b)^2=a?+b^2[/tex]. We are supposed to complete the given statement.

We can see that left side of our given equation represents a perfect square. The right side of equation would be perfect square trinomial.

Let us use perfect square formula to expand our given perfect square as:

[tex](x+y)^2=x^2+2xy+y^2[/tex]

Substitute [tex]x=a[/tex] and [tex]y=b[/tex]:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Therefore, the complete statement would be [tex](a+b)^2=a^2+2ab+b^2[/tex].

Answer:

6

Step-by-step explanation:

3 1/2 = 3.5

21/3.5 = 6

The cost of one yard of fabric is required.

The cost of one yard of fabric is [tex]\$6[/tex]

Cost of [tex]3\dfrac{1}{2}\ \text{yards}[/tex] of fabric is [tex]\$21[/tex]

[tex]3\dfrac{1}{2}=\dfrac{7}{2}\ \text{yards}=\$21[/tex]

We need to divide both sides by [tex]\dfrac{7}{2}[/tex]

[tex]1\ \text{yard}=\dfrac{21}{\dfrac{7}{2}}[/tex]

[tex]=21\times \dfrac{2}{7}=\$6[/tex]

The cost of one yard of fabric is [tex]\$6[/tex]

Learn more:

https://brainly.com/question/9815733?referrer=searchResults

Answer:

Since, an airplane descended 4,000 feet before landing.

Now, we have to determine the integer which represents the number of feet, the airplane was above the ground before its descent.

Before the descent, airplane was at the height of 4,000 feet.

And the distance above the ground is represented by the positive integers and distance below the ground is represented by the negative integers.

Since, 4,000 feet is the distance of airplane above the ground.

So, the airplane was +4,000 feet above the ground before its descent.

Answer:

$3.57

Step-by-step explanation:

You multiply .40 by 2.55 which gives you 1.07 then you add that to the original

Answer:

3.57 dollars

Step-by-step explanation:

Cost of sandwich = $2.55

We are given that  To make a profit, the deli sells it at a price that is 140% of the cost

So, selling price of sandwich = [tex]140\% \times 2.55[/tex]

                                             = [tex]\frac{140}{100} \times 2.55[/tex]    

                                             = [tex]3.57[/tex]    

Hence The sandwich sells for 3.57 dollars

Answer:

0

Step-by-step explanation:

two minus two equals 0 :)

2 minus 2 equals zero

Answer:

the answer = 0.000089x

Step-by-step explanation:

The fraction [tex]\( \frac{2}{3} \)[/tex] results in a repeating decimal [tex]\( 0.\overline{6} \)[/tex], which falls between 0.5 and 1.

Sure, here's a step-by-step explanation:

1. Start with the fraction: We begin with the fraction [tex]\( \frac{2}{3} \)[/tex].

2. Convert to decimal: To convert this fraction to a decimal, divide the numerator (2) by the denominator (3).

[tex]\[ \frac{2}{3} = 0.66666... \][/tex]

The decimal representation of [tex]\( \frac{2}{3} \) is \( 0.\overline{6} \)[/tex], which means the digit 6 repeats infinitely.

3. Determine where it falls between 0.5 and 1: Since the decimal [tex]\( 0.\overline{6} \)[/tex] is greater than 0.5 and less than 1, the fraction [tex]\( \frac{2}{3} \)[/tex] indeed fits the criteria of being a fraction with a repeating decimal between 0.5 and 1.

Answer:

-30

Step-by-step explanation:

1) Remove unnecessary parenthesis:

-20-10

2) Calculate the difference:

-30

Hey!

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

Solution:

= (-20) - (10)

= -20 - 10

= -30

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

Answer:

A. -30

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

Hope This Helped! Good Luck!

Answer:

3/2

Step-by-step explanation:

1) Reduce the numbers with greatest common divisor (2 goes into 4 2 times, so your new problem would be 3/2 x1)

2) Multiply (3/2 times 1 equals 3/2)

Answer:

5

Step-by-step explanation:

Multiply (3x2)=6

the 4 on top add that with 6 (6+4)= 10

keep the denominator so 10/2

10/2 = 5/1 = 5

Answer:

d. -x + y = 8

Step-by-step explanation:

First find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-7 + 10}{1 + 2} = \frac{3}{3} = 1[/tex]

Then, we can go ahead and use the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done swifter. It does not matter which ordered pair you choose:

10 = 1[2] + b

2

8 = b

y = x + 8 >> Line in Slope-Intercept Form

Since the exercise wants the equation in Standard Form:

y = x + 8

-x -x

________

-x + y = 8 >> Line in Standard Form

__________________________________________________________

7 = 1[-1] + b

-1

8 = b

y = x + 8 >> Line in Slope-Intercept Form

y = x + 8

-x -x

________

-x + y = 8 >> Line in Standard Form

** You see? I told you it did not matter which ordered pair you chose because you will always get the exact same result, plus the fact that I told you it was alot swifter than the Point-Slope Formula.

* Tip: Use the Point-Slope Formula when it tells you to, otherwise keep using the Slope-Intercept Formula. That way, you get your work done in a jip!

I am joyous to assist you anytime.

Answer:

The correct answer is B.

Step-by-step explanation:

In this graph we can see a "Parabola", this is the curve for a second degree polynomial function, and based on "Fundamental theorem of algebra" we can know that this polynomial has 2 roots (they can be real or imaginary).

In this graph, the curve doesn't touch the X axis, so we know that this function has not real root. So both roots are complex

Say the other number is a. The sum is a+P, which also equals 24.

Write it as, a+P=24.

Now subtract P from both sides.

you get, a = 24-P

So, the other number in terms of P is 24 - P

To express the other number in terms of P when the sum of the two numbers is 24, subtract P from 24: Q = 24 - P.

In Mathematics, when you have a sum of two numbers, and you know the value of one number, you can find the other number by subtracting the known number from the total sum.

This is known as solving for a variable.

In this specific question where two numbers have a sum of 24, and if one number is P, the other number can be expressed in terms of P as 24 - P.

It is a simple equation derived from the basic formula: Sum = Number1 + Number2

Learn more about Variable here:

https://brainly.com/question/32878076

#SPJ2

Answer:

m=88

Step-by-step explanation:

First we have to isolate the variable. In this case, it would be by multiplying the reciprocal of the fraction the both sides. M will be alone and the other side should come out to be 88. Assuming you know how to multiply with fractions, of course.

Answer:

33.25

Step-by-step explanation:

Answer: 36.5

Step-by-step explanation:

Answer:

○ B x² + 3x - 6

Step-by-step explanation:

Here is the Quadratic Equation:

y = Ax² + Bx + C

Find the expression that is in this form, which would be answer choice B.

I am joyous to assist you anytime.

Answer:

C

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← where r is the radius

here r = 4, thus

x² + y² = 4², that is

x² + y² = 16 → C

Answer:

C). x^2 + y^2 = 16.

Step-by-step explanation:

The equation of a circle with  center (0, 0) and radius r is

x^2 + y^2 = r^2

So our equation  (with r = 4) is:

x^2 + y^2 = 4^2

x^2 + y^2 = 16.

I believe the answer is D. $34.43

[tex]\huge\boxed{80}[/tex]

Let's start off by writing this with symbols. [tex]8^2+3(\frac{36}{6})-2[/tex]

Follow the order of operations and start with the exponent. [tex]64+3(\frac{36}{6}-2[/tex]

Now, solve the parentheses. [tex]64+3*6-2[/tex]

Multiply. [tex]64+18-2[/tex]

Add. [tex]82-2[/tex]

[tex]\boxed{80}[/tex]

Final answer:

Explanation of solving an arithmetic expression with exponents, division, addition, and subtraction following the order of operations.

Explanation:

To solve the expression 82 + 3 ×(36 / 6) - 2, follow the order of operations (PEMDAS):

Calculate the exponential term: 82 = 64

Divide 36 by 6: 36 / 6 = 6

Multiply 3 by the result of the division: 3 ×6 = 18

Substitute the values back into the original expression: 64 + 18 - 2

Perform the addition and subtraction: 64 + 18 = 82, then 82 - 2 = 80

Therefore, the result of the expression 82 + 3 ×(36 / 6) - 2 is 80.

Answer:

It is about 3.18 inches

Step-by-step explanation:

54 divide by 17 equals to 3.17647058824

estimate 3.17647058824 to hundredth place equals to 1.18

Answer:

first do addition of x no.