Add. Write your answer as a decimal.

10.9+(−15.6)+2.1

Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

Remember that:

We want to find the value of x such that [tex]\overline{BC}\parallel\overline{DE}[/tex].

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-5}{11-17}[/tex]

Subtract:

[tex]m=-8/-6=4/3[/tex]

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

[tex]\displaystyle m=\frac{-6-2}{x-(-1)}[/tex]

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

[tex]\displaystyle \frac{4}{3}=\frac{-6-2}{x-(-1)}[/tex]

Solve for x. Simplify the right:

[tex]\displaystyle \frac{4}{3}=\frac{-8}{x+1}[/tex]

Cross multiply:

[tex]4(x+1)=-8(3)[/tex]

Multiply on the right:

[tex]4(x+1)=-24[/tex]

Divide both sides by 4:

[tex]x+1=-6[/tex]

Subtract 1 from both sides:

[tex]x=-7[/tex]

So, the value of x is -7.

And we're done!

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Actual length of rectangular bedroom = 5m

Actual width of rectangular bedroom = 3m

Scale = 1 to 50

Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm

Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm

If width of door = 0.8m wide

Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm

Bed measures : 4cm by 3cm on scale drawing ;

Actual bed dimension:

4cm * 50 = 200cm ; 200/ 100 = 2m

3cm * 50 = 150cm ; 150 / 100 = 1.5m

Answer:

71.32 feet

Step-by-step explanation:

We set up a trigonometric function to get height of tree

Distance ,x = 35 feet away from tree base

Angle = 62⁰ at eye level

Y = tan(angle) * x

= Y = tan(62⁰) x 35

Y = 1.881 x 35

Y = 65.82 feet

We add Tamara's height to the total height of the tree

= 65.82feet + 5.5 feet

= 71.32 feet is the height of the tree

Answer:

8576×7=60032

Step-by-step explanation:

Answer:

XDDDDDDDD

Step-by-step explanation:

Answer:

C: 5/11

Step-by-step explanation:

The top line over the numbers usually mean the numbers are recurring (occurring again and again)

So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)

To solve you convert each option to a decimal and find one that has 0.45 recurring.

A: 4/5 =0.8

B: 5/9 = 0.55...

C: 5/11 = 0.45...

D: 4/9 = 0.44...

Hence, our answer is C.

Answer: It means that the numbers the bar is over repeats. Answer is C

Step-by-step explanation:

For example:

Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.

Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat.  [tex]0.12 \overline {34} = 0.12343434343434...[/tex]

Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...

Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\

To solve your problem, it will be easiest to use a calculator and test each answer.

Choice A:  [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]

Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]

Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]

Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]

The Correct Answer is Choice C

Answer:

-50

Step-by-step explanation:

Answer:

85.5 grams of 17% gold alloy is added.

Step-by-step explanation:

A metal worker has 57 grams of an alloy that is 37% gold.

And let x grams of an alloy which is 17% gold.

Let's add them to get 25% of (x+57)grams of alloy.

So, we can set up equation as

57(37%) +x(17%) =(x+57)(25%)

Simplify and solve the equation for x.

21.09+0.17 x=  0.25 x+14.25

Subtract both sides 0.25 x

21.09-0.08 x =14.25

Subtract both sides 19.95

-0.08 x=-6.84

Divide both sides by -0.08

x=85.5 grams

The slope of the line is B. 5/7

Answer:

[tex](19,6.4)[/tex]

Step-by-step explanation:

[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]

so it would look like

[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]

then

[tex](19)[/tex],[tex](6.4)[/tex]

or

[tex](19,6.4)[/tex]

Answer: C

Step-by-step explanation:

Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

- 2 1/3

Hi there !

6  2/9 : ( - 2 2/3) =

= (6*9+2)/9 : -(2*3+2)/3

= 56/9 : - 8/3

= 56/9 × - 3/8

simplify 56 - 8 ; 9 - 3

= 7/3 × - 1/1

= - 7/3

= - 2 1/3

Good luck !

Answer:

Like what type of expression? And Is it for all the numbers at once, or is it each number separately?

Step-by-step explanation:

Answer: x= -9/5   or x = -1.8

Step-by-step explanation:

4x + 30 = -6(x - 2)   First apply the distributive property on the left side

4x + 30 = -6x + 12      Add 6x to both sides

+6x           +6x

   10x + 30 = 12     Subtract 30 from both sides

           -30    -30

10x = -18     Divide both sides by 10

 x = -9/5     or x = -1.8

Answer:

the answer is -1.8 if you want to use the decimal and -9/5 if you want to use the fraction

Step-by-step explanation:

4x + 30 = -6(x - 2)

4x+30 = -6x + 12

4x + 6x = 12 - 30

10x = -18

divide both side by 10

x = -9/5 or -1 4/5 or -1.8

( also not trying to gatekeep so i wanna say that i got this answer from an app named photomath. i scanned the question in the camera and it pulled the answer. hoped it helped love!)

Answer:

25

Step-by-step explanation:

Answer:

no it doesn't

Step-by-step explanation:

[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]

( x - 1 )s simplifies

[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]

_________________________________

Thus ; the expression doesn't simplify to x.

Answer:

y=8

Step-by-step explanation:

y= 5(2) -2

y= 10-2

y=8

Answer:

y=8

Step-by-step explanation:

i dont have a step by step

Answer:

D a reflection over the x axis by a reflection over the y axis

Step-by-step explanation: if u put the triangle on the button left up then move it to the upper right it’s congruent.

Answer: A rotation of 270° clockwise about the origin followed by translation left 1 and up 10

Step-by-step explanation:

The measure of the PRS angle is : 99°

_________________________________

The length of the x is : 18

So the B is the correct answer.

Answer:

width- 22ft : length-51 ft

Step-by-step explanation:

if you add 22+22 its 44 +7 it will give you 51.

that is twice the width+ the 7 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular room is 7 feet longer than twice the width. Then we have

L = 2W + 7

If the room's perimeter is 146 feet. Then the dimension of the rectangle will be

P = 2(L + W)

146 = 2(2W + 7 + W)

73 = 3W + 7

3W = 66

W = 22 feet

Then the length of the rectangle will be

L = 2 x 22 + 7

L = 44 + 7

L = 51 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

Answer: It will take 12 minutes to the reach the park.

Step-by-step explanation:

We know that, [tex]\text{Speed }=\dfrac{\text{distance}}{\text{time}}[/tex]

[tex]\Rightarrow\ \text{Time}=\dfrac{\text{Distance}}{ \text{Speed}}[/tex]

Given: Speed = 50 miles per hour

Distance needs to travel =  10 miles

Now, Time required to reach the park = [tex]\dfrac{10}{50}=\dfrac{1}{5}\text{ hour}[/tex]

Since 1 hour = 60 minutes

So, [tex]\dfrac15\text{ hour}=\dfrac15\times 60=12\text{ minutes}[/tex]

Hence, it will take 12 minutes to the reach the park.

Square of 9 is 81 and it is less than 100

Answer:

t represents the time in minutes since the balloon started descending.

a(t) represents the altitude of the balloon at t minutes.

a(5.5) gives the altitude at 5.5 minutes.

Answer:

What does t represent?

✔ time after the balloon begins to descend

What does a(t) represent?

✔ altitude of the balloon

What information will a(5.5) give?

✔ altitude of the balloon after 5.5 minutes

Step-by-step explanation:

edge 2021

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