Combine the like terms to create an equivalent expression:
8t+1+(−4t)+(−6)

Answer:

A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can form up a simultaneous equation and get the value of a.

To determine the value of a, set up and solve a system of equations in two variables

For the X coordinates;

X = x₁+x₂/2

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1  * 1

For the Y coordinates;

5 = a+2+3b+3/2

cross multiply

10 =  a+2+3b+3

collect like terms

a+3b = 10-2-3

a+3b = 5 ........ 2  * 2

Solving the resulting  simultaneous equation to get the value of a

multiply equation 1 by 1 and 2 by 2 to have the resulting equations;

2a+b = 5 ...........3  

2a +6b = 10.......... 4

subtract 3 from 4

(2a-2a)+(b - 6b) = 5-10

0-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 1 to get a;

2a + b = 5

2a + 1 = 5

2a = 5-1

2a = 4

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

Answer:

p=9

Step-by-step explanation:

p is equivalent to 9

Answer:

8

Step-by-step explanation:

Total length of the fabric is [tex]6\dfrac{2}{3}=\dfrac{20}{3}\ \text{yards}[/tex]

We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.

Let she needs x scarves. So, ATQ

[tex]x\times \dfrac{5}{6}=\dfrac{20}{3}\\\\x=\dfrac{20}{3}\cdot\dfrac{6}{5}\\\\x=8[/tex]

Hence, she can make 8 scarves.

Answer:

8

Step-by-step explanation:

the guy above me explained

Answer:

Apply inverse law

a a⁻¹ = 1

The solution of the given linear equation is x = -6

Step-by-step explanation:

Step(i):-

Given equation -3 x-5=13

Adding '5' on both sides, we get

- 3 x - 5 + 5 = 13  + 5

- 3 x  = 1 8

step(ii):-

apply inverse law

a a⁻¹ = 1

(- 3)(-3)⁻¹ x = 18 (-3)⁻¹

x = 18/-3 = -6

(or)

Dividing '-3' on both sides , we get

                            [tex]\frac{-3 x}{ -3} = \frac{18}{-3}[/tex]

                             x =- 6

Answer:

t= -15/2       or       t= -7.5

Step-by-step explanation:

We are given the equation:

[tex]\frac{-6}{5}t=9[/tex]

and asked to solve for t. Therefore, we must isolate t on one side of the equation.

t is being multiplied by -6/5. The inverse of multiplication is division. We should divided both sides by -6/5, but we are dividing by a fraction. Instead, we can multiply by the reciprocal.

To find the reciprocal, flip the numerator (top number)  and denominator (bottom number).

-6/5 ----> -5/6

Multiply both sides of the equation by -5/6

[tex]\frac{-5}{6} *\frac{-6}{5}t=9 *\frac{-5}{6}[/tex]

[tex]t=9 *\frac{-5}{6}[/tex]

[tex]t=\frac{9}1 *\frac{-5}{6}[/tex]

Multiply across the numerator and denominator.

[tex]t= \frac{9*-5}{1*6}[/tex]

[tex]t=\frac{-45}{6}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 3.

[tex]t=\frac{-45/3}{6/3}[/tex]

[tex]t=\frac{-15}{2}[/tex]

[tex]t= -7.5[/tex]

t is equal to -15/2 or -7.5

Answer:

220

Step-by-step explanation:

I hope this helps you

Answer:

A compass and straightedge allow for a more accurate rendition of a triangle, especially one needed to be specific measures

Step-by-step explanation:

Answer:

48/6 ÷ 6/6 = 8/6

8/6 ÷ 2/2 = 4/3

Answer:

69 years

Step-by-step explanation:

Trust me 69

Answer:

$70.62

Step-by-step explanation:

25.62 is the money he had overdrawn

45 is the money money charged buy the bank for overdraft fee

So the Total balance to the bank is

25.62+45=$70.62

Correct question is;

The medical thermometer commonly used in homes can be read +/-0.1 °F, whereas those in the doctor's office may be accurate to +/- 0.1 C in degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9 °C

Answer:

A) percent error in homes = 0.144 %

B) percent error in doctors office = 0.257 %

Step-by-step explanation:

A) Temperature is 38.9° C

Converting to Fahrenheit using the formula; (°C × 9/5) + 32

So;

(38.9°C × 9/5) + 32 = 102.02 °F

Since thermometer in homes can be read to +/-0.1 °F, then

Expected values = 102.02 +/- 0.1 = 102.12 °F or 101.92 °F

Since we want to find the error from °C, let's convert to °C.

We will use 101.92 °F.

Thus; 102.12 °F = (101.92 - 32) × 5/9 = 38.844 °C

Thus percent error = (38.9 - 38.844)/38.9) × 100% = 0.144 %

B) Temperature is 38.9 °C

Since thermometer in Doctors office can be +/- 0.1 °C, then;

Expected values = 38.9 +/- 0.1 = 38.8 °C or 39 °C.

We will use 38.8°C

Thus;

percent error = (38.9 - 38.8)/38.9) × 100% = 0.257 %

Answer:

Your answer is B

Step-by-step explanation:

Because if they are already $60 and she wants one more it would be $75

The cost for the 6th pajama bought by Keli is given as $85.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The equation of the straight line from the given graph can be formed as below,

Take any two coordinates from the graph as (1, 10) and (2, 25) respectively.

Suppose the cost be y and the number of pajamas be x.

Now, the equation for the slope can be written as,

(y - 10)/(x - 1) = (25 - 10)/(2 - 1)

⇒ (y - 10)/(x - 1) = 15

⇒ y = 15x - 5.

Then, the cost of 6th pajama can be calculated by substituting x = 6 in the above equation as,

y = 15 × 6 - 5

  = 85

Hence, the cost of sixth pair of pajama is $85.

To know more about straight line equation click on,

brainly.com/question/21627259

#SPJ2

Answer:

32

Step-by-step explanation:

62  divided by 2

Answer:BRAINLIEST PLS

x2=64

Step-by-step explanation:

S

x2=64

Step 1: Take square root.

x=±√64

x=8 or x=−8

Answer:

x=8 or x=−8

factoring

x2=64

Step 1: Subtract 64 from both sides.

x2−64=64−64

x2−64=0

Step 2: Factor left side of equation.

(x+8)(x−8)=0

Step 3: Set factors equal to 0.

x+8=0 or x−8=0

x=−8 or x=8

Answer:

25π/6 yd

Step-by-step explanation:

∠DCE = 110°, so arc DFE = 360° − 110° = 250°.

In radians, that's 250° × π/180° = 25π/18.

Arc length is:

s = rθ

s = (3 yd) (25π/18)

s = 25π/6 yd

Answer:

The line that can be drawn through points D and E is contained in plane Y.

Step-by-step explanation:

Let's just go through all of these answer choices.

The first one says that "The line that can be drawn through points C and D is contained in plane Y." Is this true? If we drew a line connecting points C and D, it looks like it would cross through both planes X and Y, so it cannot be contained in only plane Y. This is false.

The second one says that "The line that can be drawn through points D and E is contained in plane Y." If we imagine a straight line going from point D to point E, it looks like it's just a line in plane Y; so this can be contained in plane Y. This seems true.

The third one says that "The only point that can lie in plane X is point F." This is false because plane X has a ton of points, but point F is just the only one that's labeled. This is false

The fourth one is similar, and says that "The only points that can lie in plane Y are points D and E." Again, this is false because points D and E just happen to be the only two labeled points, but there are infinitely many points on plane Y; points D and E are not all of them.

The second answer choice is true.

Please mark as Brainliest! :)

Answer:

2 m/s

Step-by-step explanation:

Since speed is total distance over time, we first need to find the total distance the car traveled.

Total distance = 200 + 80 + 120 = 400 m

total time = 200 sec

speed = distance/time = 400/200 = 2 m/s

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Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

1km=1000m, right?

so 7km = 7 * 1000 m = 7000m

thanks

Answer:

45

Step-by-step explanation:

you can use m a th w ay to help you

Answer

1.) 50 mistakes per test

2.) 8 girls per group

3.) 27 pages per hour

4.) $1.30 per banana

5.) $0.50 per pencils

6.) 13 points per game

7.) $1.25 per cup of tea

8.) 65 liters per hour

9.) 25 calls per hour

10.) 35 words per minute

11.) 8 miles per liter of gas

12.) 0.4 eggs per day

13.) $28 per hour

14.) 3.5 miles per hour

Step-by-step explanation:

*Hope this helped*

Answer:

1.50 mistakes per test

2.8 girls per group

3.27 pages per hour

4.$1.30 per banana

5.$0.50 per pencils

6.13 points per game

7.65 liters per hour

8.25 calls per hour

9.35 words per minute

10.8 miles per liter of gas

11.0.4 eggs per day

12.$28 per hour

Answer:

20 rabbits, 10 chickens

Step-by-step explanation:

Because chickens and rabbits each have 2 eyes, the number of animals is 60 ÷ 2 = 30.

Let's say that all of the 30 animals are chickens. There would be a total of 30 × 2 = 60 legs.

So the extra (100 – 60) = 40 legs must have come from the rabbits.

Every rabbit has (4 – 2) = 2 more legs than a chicken.

So there are 40 ÷ 2 = 20 rabbits and 30 – 20 = 10 chickens.

Answer:

20 rabbits and 10 chicks

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan(35°) ≈ 0.7002

from triangle:

tan(35°) = 7/x

so:

    7/x = 0,7002

    7 = 0.7002•x

     x =  7/0.7002 = 9,9971...

      x ≈ 10.0

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2[tex]\times 2[/tex])

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes [tex]\times[/tex] Number of doors options  [tex]\times[/tex] Number of exterior colors

2 [tex]\times[/tex] 2 [tex]\times[/tex] 10 = 40

The number of possible outcomes of a new car will be 40. Then the correct option is B.

A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite sample is shown as a curly bracket {..}.

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors.

Then the number of possible outcomes will be

[tex]\rm Possible \ outcomes = 2*2*10\\\\Possible \ outcomes = 40[/tex]

More about the sample link is given below.

https://brainly.com/question/350477

Answer:

a

Step-by-step explanation:

Answer:

for the first one x=4 and y=2

Complementary angles are angles whose sum is 90 degrees.

This means that we can make an equation.

[tex](8x-23)+(7x-7)=90[/tex]

[tex]15x-30=90[/tex]

[tex]15x=120[/tex]

[tex]x=8[/tex]

Then we can plug in the value we got into the express for angle A's measure.

[tex]8(5)-23[/tex]

[tex]40-23[/tex]

[tex]17[/tex]

The measure of angle A is 17 degrees.

Hope this helps.

頑張って!

Answer:

B, AC = 2AB

Step-by-step explanation:

C is the mid point of AB so we have:

AC = CB = 1/2 AB

AC + CB = AB