Can someone please help me?

Answer:

10 hours

Step-by-step explanation:

Given that time taken to clean the garden by Abe and Bianca together = 6 hours.

So, in 1 hour both can clean 1/6 of the garden.

Let Abe can clean the garden in x hours, as Bianca took 5 hours less than Abe took, time taken by Bianca alone to clean the garden = x-5 hours.

Therefore, in 1 hour Abe can clean 1/x portion of the garden while Bianca can clean 1/(x-5) portion of the garden.

Together, Abe and Biana can clean \frac 1 x + \frac {1}{x-5} portion of garden in 1 hour.

As both can clean 1/6 portion of the garden in 1 hour together, so

[tex]\frac 1 x + \frac {1}{x-5} = \frac 1 6 \\\\\Rightarrow \frac {2x-5}{x(x-5)}= \frac 1 6 \\\\\Rightarrow x^2 - 5x = 6(2x-5) \\\\\Rightarrow x^2 - 5x = 12x-30 \\\\\Rightarrow x^2 - 17x +30= 0 \\\\\Rightarrow x^2 - 15x-2x +30= 0 \\\\\Rightarrow x(x-15) -2(x +15)= 0 \\\\\Rightarrow (x-2)(x-15)= 0 \\\\\Rightarrow x-2=0 \;or\; x-15=0 \\\\\Rightarrow x = 2 \;or\; x=15.[/tex]

Now, if x=2, then the time taken by Bianca x-5 = 2-5=-3 hours (negative) which is not possible.

For x= 15, time taken by Bianca = x=5=15-5=10 hours.

Hence, the time taken by Bianca alone to clean the garden is 10 hours.

Answer:

No, a reasonable estimate is around 8 ⋅ $8 = $64.

Step-by-step explanation:

Answer:

the slope is -3

Step-by-step explanation:

down 6 and over 2 = -6/2 = -3

Answer:

slope = -3

Step-by-step explanation:

Line pass (1,2) and (3,-4)

slope = difference of y/difference of x

m = (-4 - 2)/(3 - 1) = -6/2 = -3

Answer: area= 38, perimeter=34

Step-by-step explanation: a=lw,p= sum of all sides

The area of the biggest, middle and smallest shapes are 14 cm²,16 cm², and 8 cm² respectively while the perimeter of the biggest, middle and smallest shapes are 18 cm,16cm, and 12 cm respectively.

Perimeter is the addition of an external measure of sides it will always positive.

A perimeter is a length and has a degree of the unit as one.

Perimeter of square = side + side + side + side

The given object is divided into three sections.

Biggest section :

Area = 2 x 7 = 14 cm²

Perimeter = 2(7 + 2) = 18 cm

Middle section :

Area = 4 x 4 = 16cm²

Perimeter = 2(4 + 4) = 16cm

Smallest section :

Area = 2 x 4 = 8 cm²

Perimeter = 2(2 + 4) = 12 cm

Hence "The area of the biggest, middle and smallest shapes are 14 cm²,16 cm², and 8 cm² respectively while the perimeter of the biggest, middle and smallest shapes are 18 cm,16cm, and 12 cm respectively".

To learn more about Perimeter,

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Answer:

An angle is a defined term

Step-by-step explanation:

An angle is a defined term.

Answer:

3/4 x 1/4 = 3/16 in fraction form. 3/4 x 1/4 = 0.1875 in decimal form.

Answer:

3/16  your welcome hehe

Step-by-step explanation:

Answer:

The relation is 1 digit is being added after every number in the pattern.

So, the 7th term can be found like this.

9+4=13   -4th

13+5=18   -5th

18+6=24    -6th

24+7=31      -7th

Answer:

42

Step-by-step explanation:

The answer is 42 because -3.5 multiplied by -12 is 42

Answer:

-3.5 * -12 = 42

Step-by-step explanation:

Hope this helps

Answer:

The value of x is 8

Step-by-step explanation:

In the given triangle

∵ A line segment joining points on two sides and parallel to the 3rd side

→ That means this line segment divided the two sides into equal ratios

∵ It divided the 1st side into 10 and 3x + 1

∵ It divided the 2nd side into 22 and 7x - 1

∴ [tex]\frac{10}{3x+1}[/tex] = [tex]\frac{22}{7x-1}[/tex]

→ By using cross multiplication

∵ 10(7x - 1) = 22(3x + 1)

∴ 10(7x) - 10(1) = 22(3x) + 22(1)

∴ 70x - 10 = 66x + 22

→ Subtract 66x from both sides

∵ 70x - 66x - 10 = 66x - 66x + 22

∴ 4x - 10 = 22

→ Add 10 to both sides

∴ 4x - 10 + 10 = 22 + 10

∴ 4x = 32

→ Divide both sides by 4

∴ x = 8

∴ The value of x is 8

Answer:

[tex]\huge\boxed{\sf x = 8}[/tex]

Step-by-step explanation:

[tex]\sf 3x+12 = 36\\\\Subtracting \ 12 \ to \ both \ sides\\\\3x=36-12\\\\3x = 24\\\\Dividing \ both \ sides \ by \ 3\\\\x = 24/3\\\\x = 8\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x=8

Step-by-step explanation:

3 times 8= 24+12=36

Answer:

15 rides= 40 and r rides= 10+2r

Step-by-step explanation:

Answer:

it 40

Step-by-step explanation:

10+5(15times 2)

10+30=

40 it should be it

Answer:

A, C, and E

Step-by-step explanation:

just did the assignment on edge 2020 uwu

Answer:

a, e, c or 1, 2, 3

Step-by-step explanation:

just got it right on edge 2021 trust me :)

Answer:

[tex]\displaystyle A_{\text{Total}}\approx45.0861\approx45.1[/tex]

Step-by-step explanation:

We can use the trigonometric formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are the side lengths, and C is the angle between the two side lengths.

As demonstrated by the line, ABCD is the sum of the areas of two triangles: a right triangle ABD and a scalene triangle CDB.

We will determine the area of each triangle individually and then sum their values.

Right Triangle ABD:

We can use the above area formula if we know the angle between two sides.

Looking at our triangle, we know that ∠ADB is 55 DB is 10.

So, if we can find AD, we can apply the formula.

Notice that AD is the adjacent side to ∠ADB. Also, DB is the hypotenuse.

Since this is a right triangle, we can utilize the trig ratios.

In this case, we will use cosine. Remember that cosine is the ratio of the adjacent side to the hypotenuse.

Therefore:

[tex]\displaystyle \cos(55)=\frac{AD}{10}[/tex]

Solve for AD:

[tex]AD=10\cos(55)[/tex]

Now, we can use the formula. We have:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Substituting AD for a, 10 for b, and 55 for C, we get:

[tex]\displaystyle A=\frac{1}{2}(10\cos(55))(10)\sin(55)[/tex]

Simplify. Therefore, the area of the right triangle is:

[tex]A=50\cos(55)\sin(55)[/tex]

We will not evaluate this, as we do not want inaccuracies in our final answer.

Scalene Triangle CDB:

We will use the same tactic as above.

We see that if we can determine CD, we can use our area formula.

First, we can determine ∠C. Since the interior angles sum to 180 in a triangle, this means that:

[tex]\begin{aligned}m \angle C+44+38&=180 \\m\angle C+82&=180 \\ m\angle C&=98\end{aligned}[/tex]

Notice that we know the angle opposite to CD.

And, ∠C is opposite to BD, which measures 10.

Therefore, we can use the Law of Sines to determine CD:

[tex]\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}[/tex]

Where A and B are the angles opposite to its respective sides.

So, we can substitute 98 for A, 10 for a, 38 for B, and CD for b. Therefore:

[tex]\displaystyle \frac{\sin(98)}{10}=\frac{\sin(38)}{CD}[/tex]

Solve for CD. Cross-multiply:

[tex]CD\sin(98)=10\sin(38)[/tex]

Divide both sides by sin(98). Hence:

[tex]\displaystyle CD=\frac{10\sin(38)}{\sin(98)}[/tex]

Therefore, we can now use our area formula:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

We will substitute 10 for a, CD for b, and 44 for C. Hence:

[tex]\displaystyle A=\frac{1}{2}(10)(\frac{10\sin(38)}{\sin(98)})\sin(44)[/tex]

Simplify. So, the area of the scalene triangle is:

[tex]\displaystyle A=\frac{50\sin(38)\sin(44)}{\sin(98)}[/tex]

Therefore, our total area will be given by:

[tex]\displaystyle A_{\text{Total}}=50\cos(55)\sin(55)+\frac{50\sin(38)\sin(44)}{\sin(98)}[/tex]

Approximate. Use a calculator. Thus:

[tex]\displaystyle A_{\text{Total}}\approx45.0861\approx45.1[/tex]

Answer:

209.1 cm2

Step-by-step explanation:

the area of the circle around the rectangle is 113.1 cm2 and the area of the rectangle is 12x8=96cm and 113.1+96=209.1

Answer:

$455

Step-by-step explanation:

Minimum unemployment benefit in Texas is $69 per week and the maximum is $521.

In order to determine unemployment benefits in Texas, you must first calculate total earnings for the last quarter = 13 x $1,750 x 1/2 = $11,375

Now, you divide that amount by 25, so $11,375 / 25 = $455. Since that amount is below the maximum unemployment benefit per week, then Morgan is going to receive $455.

Answer:

$31

Step-by-step explanation:

Please mark brainliest.

Answer:

$31

Step-by-step explanation:

$16+$15= $31

9514 1404 393

Explanation:

(In order avoid issues with the Brainly censor, we're going to rename point F as point G in this answer. Wherever you see G, you can use F in your own response to this question.)

General Approach

The perpendicular lines tell you these are right triangles. There are a few ways to show right triangles are congruent, one of which is the "HL theorem." It requires you show the hypotenuse and one leg are congruent in the two triangles.

Here, the hypotenuses, DE and AG, are shown as congruent. All that remains is to show one leg is congruent. We have no information about legs BE and CG, but we do have information that will let us show legs AC and DB are congruent.

_____

Proof

1. DE ≅ AG, DC ≅ AB, GC⊥AC, EB⊥DB . . . . given

2. m∠EBD = 90°, m∠GCA = 90° . . . . definition of perpendicular lines

3. CD + CB = DB . . . . segment sum theorem

4. AB + CB = DB . . . . substitution property of equality (CD→AB)

5. AB +CB = AC . . . . segment sum theorem

6. DB = AC . . . . transitive property of equality

7. ΔACG ≅ ΔDBE . . . . HL theorem

Answer:

D

Step-by-step explanation:

9514 1404 393

Answer:

  $6.50/lb

Step-by-step explanation:

To find price per pound, divide price by pounds.

  $35.75/(5.5 lb) = $6.50/lb

Answer:

What's "the following"?

Step-by-step explanation:

Answer:

104.5 square cm

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of two triangles

[tex] = 14 \times 11 - \frac{1}{2} \times 11 \times 4 - \frac{1}{2} \times 11 \times 5 \\ \\ = 14 \times 11 - 11 \times 2 - 11 \times 2.5\\ \\ = 154 - 22-27.5\\\\154-49.5 \\ \\ = 104.5 \: {cm}^{2} [/tex]

Answer:118.25

Step-by-step explanation:

Substract the area of two triangles from the rectangle

Answer:

Good for him also there is no question

Step-by-step explanation:

Answer: whats the car prices that was in the news paper

Step-by-step explanation:

Answer:

72%

Step-by-step explanation:

Answer:

seventy two percent