Cindy wants to put new carpet in her entryway. The entryway is 15ft. long and 7ft. wide. She wants to buy 10% extra carpet in case it is needed. How much carpet will she need to order?

Answer:

[tex]x = - \frac{7}{4} \: \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]8 {x}^{2} + 14x - 4x - 7 = 0 \\ 2x(4x + 7) - (4x + 7) = 0 \\ (4x + 7)(2x - 1) = 0[/tex]

Answer:

[tex]\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

When factoring trinomials of the form ax² + bx + c:

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

Case 1:

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = [tex]\bold{-\dfrac{7}{4}}[/tex]

Case 2:

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = [tex]\bold{\dfrac{1}{2}}[/tex]

Solutions:

[tex]\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}[/tex]

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

If the hockey team scores 9 goals in their next game, it means that; the mean would be the most affected.

We are given the data set as;

3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.

Let us rearrange in ascending order to get;

0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6.

The mean = (0 + 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6)/12 = 3

Median = (3 + 3)/2 = 3

Mode = 1, 2, 3, 3, 5

Now, if they score 9 goals in their next game, it means that;

Mean = 45/13 = 3.46

Median = 3

Mode remains the same

Thus, mean will be the most affected.

Read more about Mean, Median and Mode at; https://brainly.com/question/14532771

#SPJ1

Answer:

adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.

Step-by-step explanation:

Angle B is the largest angle. , Option D is the correct answer.

A triangle that has two sides equal is called an Isosceles Triangle.

It is given in the question a triangle ABC

With BA =BC

therefore angle A is equal to angle C

In a triangle the angle opposite to the longest side is the biggest angle

Therefore angle B is the largest angle.

Option D is the correct answer.

To know more about Isosceles Triangle

https://brainly.com/question/2456591

#SPJ1

Given, a = 1

common difference = 3

Eighth term = a+(n-1)d = 1+(8-1)3

= 1 + 21 = 22

Hope this helps :)

Answer:

The formula for the volume of a rectangular prism is: length x width x height

Volume of the mango jelly : 14 x 8 x 3 = 336 cm³

Volume of the cleaning box: 6 x 4 x 15 = 360 dm³

Volume of the cake each classmate would get =  (18 x 10 x 4) / 3 = 240 cm³

Volume of the remaining ream of paper : (28 x 4 x 22) / 250 = 9.9 cm³

To learn more about rectangular prisms, please check: https://brainly.com/question/8890358

#SPJ1

Answer:

a= 2x-3 b= 2x+5

ab= (2x-3)(2x+5)

= 2x*2x+ 2x*5- 3*2x- 3*5

= 4x+ 10x- 6x- 15

= 14x- 6x- 15

= 8x -15

x= 2

= 8(2)- 15

= 16-15

= 1

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

Learn more about the interval notation here:

https://brainly.com/question/13048073

#SPJ1

Answer:

Step-by-step explanation:

You save 25% on a $199 television. How much do you save?

25% = 1/4

so

199 : 4 = 49.75$

Answer:

You save $49.75

The value of the angle P and Q are equal which is equal to 36.86°.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From Δ it is obtained that;

[tex]\rm cos P = \frac{B}H} \\\\ \rm cos P = \frac{16}{20} \\\\ P=cos^{-1}\frac{16}{20} \\\\ P= 36.86 ^0[/tex]

[tex]\rm sin \ Q = \frac{12}{20} \\\\ Q= sin^{-1}(0.6) \\\\ Q= 36.86^0[/tex]

sin P= sin Q

Hence, the value of the angle P and Q are equal which is equal to 36.86°.

To learn more about trigonometry, refer to the link https://brainly.com/question/26719838

#SPJ1

Answer:

  (4, -8)

Step-by-step explanation:

The components of a vector are found by subtracting the tail from the head.

__

  Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)

⇒ The component form is (4, -8), or maybe 4i -8j.

_____

Additional comment

There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.

(4,-8) is the answer

Answer:

Step-by-step explanation:

→ The lines TN and FL intersect each other  

at the point R forming the opposite angles ∠TRF and ∠NRL

then

∠TRF and ∠NRL are verticals angles.

………………………………………………………………………

→ The lines LF and AE intersect each other  

at the point R forming the opposite angles ∠LRE and ∠FRA

then

∠LRE and ∠FRA are verticals angles.

We will see that Jo's speed, rounded to 2 digit places, is:

S =  6.42 km/h

Remember that:

speed = distance/time.

Nina takes 2 hours and 10 minutes to finish the race, first, let's write the time in hours:

1 hour = 60 min.

Then:

10 min = (10/60) hours = 0.167 hours.

So we can write the time as:

2.167 hours.

And the distance is 13km, so her speed is:

S = 13km/2.167h = 6 km/h

The time that she takes to reach a distance of 11km (where she meets with Jo) is:

T = 11km/(6 km/h) = 1.83 hours.

Now, Jo starts 7 minutes after Nina, then the time in which he travels the 11 km is:

1.83 hours - 7 minutes.

Where:

7 min = (7min/60 min) hours = 0.117h

Then the time is:

T= 1.83h - 0.117h = 1.713 hours.

So he travels 11km in 1.713 hours, then his speed is:

S = 11km/ 1.713 hours = 6.42 km/h

If you want to learn more about speed:

https://brainly.com/question/4931057

#SPJ1

Answer:

Jan is not correct

Step-by-step explanation:

Rhombus and parallelogram both have their opposite angles to be equal and the opposite sides to be parallel but Rhombus has all its sides to be equal like the square while the parallelogram has only the opposite sides to be equal like the rectangle

The balloon's vertical distance above the ground is 430 feet.

You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.

The angle from horizontal to the point where you stopped your head is called the angle of depression.

From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.

The angle of depression = 39°

The base = 532

We need to find the vertical distance consider perpendicular.

[tex]\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80[/tex]

Therefore, the balloon's vertical distance above the ground is 430.80 feet.

Learn more about the angle of depression here;

https://brainly.com/question/23931413

#SPJ1

Answer:

430.81

Step-by-step explanation:

hard way

Answer:

Mean: 123

Median: 28

Mode: 23

Step-by-step explanation:

give brainliest

Answer:

Mean = 123, Median = 28 , Mode = 23

Step-by-step explanation:

Mean is the average of all the numbers.

Mean = [tex]\frac{3+721+23+63+27+29+95+23}{8} \\= \frac{984}{8} \\= 123[/tex]

Median is the middle most value of the numbers when arranged in ascending order. (Average of the 2 middlemost numbers if there are even number of values.)

Arranged Values: 3,23,23,27,29,63,95,721

Median = [tex]\frac{27+29}{2} \\= \frac{56}{2} \\= 28[/tex]

Mode is the value that occurs the most in the numbers.

Mode =  23

Answer:

B

Step-by-step explanation:

substitute b = 7 into the expression

2(10 - b)

= 2(10 - 7)

= 2(3)

= 6

Answer:

all you have to do is substitute

B. 6

Step-by-step explanation:

2(10-7)

2(3)

6

Answer: COSINE

Step-by-step explanation:

I PROMISE

Answer:

See below

Step-by-step explanation:

For a right triangle, with the information given,   tangent function is most appropo

tan 41 = 4/x re-arrange to

      x = 4 / tan(41)             then x = 4.60

Answer:

you will only pay one dollar I did this question before, and it was easy Please mark me brainiest please

Step-by-step explanation:

Answer:

3/11 in decimal form is 0.272727272727....

Step-by-step explanation:

Yw ! :)

Answer:

Below in bold.

Step-by-step explanation:

Petra uses the expression distance = time * speed

which is (4 + h)55    where 4 + h = total time for the 2 days.

Sierra uses the same expression but for each individual day and adds them:

4*55 + 55h

= 220 + 55h.

Answer:

3/4

Step-by-step explanation:

Scale factor is the ratio between two different triangles. They can be scaled if they are similar triangles, which they are (in this case). Since we know that these two triangles are similar, we want to match all the sides up in a way where they all have the same ratio.
NK=3 and AH = 4, so NK/AH = 3/4.
GK=6 and LH = 8, so GK/LH = 6/8 = 3/4.
GN = 15 and LA = 20, so GN/LA = 15/20 = 3/4.
We found the matching ratios, so the answer is 3/4.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . .

We are asked to find the slope of the line that is parallel to the line [tex]\star~\mathrm{y=-\cfrac{2}{5}x+\cfrac{4}{5}}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

So let's first determine the slope of the first line, and then let's find the slope of the line that's parallel to it.

[tex]\circ\!\!\!\star\mathcal{HINT:}[/tex]

So the slope is

[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex].

Can you guess the slope of the line that is parallel to the first line?

That's right! The slope is...

[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]~~~~\dfrac{12}{x^2 -49} \cdot \dfrac{x^2+9x+14}{9}\\\\\\=\dfrac{4}{x^2 -7^2}\cdot \dfrac{x^2 + 7x +2x +14}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)} \cdot \dfrac{x(x+7)+2(x+7)}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)}\cdot \dfrac{(x+7)(x+2)}{3}\\\\\\=\dfrac{4(x+2)}{3(x-7)}[/tex]

Answer:

[tex]\frac{4(x + 2)}{3(x - 7)}[/tex]

Step-by-step explanation:

Hello!

We can simplify this by factoring, and cross reducing.

The final simplified form is [tex]\frac{4(x + 2)}{3(x - 7)}[/tex]