Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it take him to pack the remaining boxes?

The measure of ∠1 is 95°

Solution:

Given a || b.

m∠6 = 85° and m∠3 = 2x°

∠6 and ∠3 are co-interior angles.

Co-interior angles add up to 180°.

⇒ m∠6 + m∠3 = 180°

⇒ 85° + 2x° = 180°

Subtract 85° from both sides.

⇒ 2x° = 95°

⇒ m∠3 = 95°

If two lines cut each other, then vertically opposite angles are congruent.

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Hence the measure of ∠1 is 95°.

Answer:

6.28 feet

Step-by-step explanation:

1.) Find the radius.

The area is given, and the formula for area of a circle is A = [tex]\pi r^{2}[/tex]  Let's substitute.

3.14 = [tex]\pi r^{2}[/tex]

Divide by pi on both sides

1 = [tex]r^{2}[/tex]

Find the square root of r

1 = r

The radius is 1.

2.) Find the circumference.

C = [tex]2\pi r[/tex]

C = [tex]2\pi (1)[/tex]

Multiply 2 and 1

C = [tex]2\pi[/tex]

C ≈ 6.28

The circumference is approximately 6.28 feet.

Final answer:

To find the circumference of a circular serving tray with an area of 3.14 square feet, one must first calculate the radius using the area formula and then apply the circumference formula 2πr, yielding a circumference of 6.28 feet when rounded to the nearest hundredth.

Explanation:

In order to find the circumference of Isaac's circular serving tray given its area, we need to apply the formula for the area of a circle, which is A =
^2. Since the area was provided as 3.14 square feet, and using 3.14 as an approximation for
, we can set up the equation as 3.14 = 3.14r^2. This allows us to solve for the radius(r).

First, divide both sides by 3.14 to isolate r^2: r^2 = 3.14 / 3.14 = 1. Then take the square root of both sides to get the radius: r =
1 = 1 foot. Now that we have the radius, we can calculate the circumference using the formula C = 2
, substituting 3.14 for
, and the radius we just found: C = 2 * 3.14 * 1 = 6.28 feet.

After following these steps, we determine that the circumference of the serving tray is 6.28 feet. Rounded to the nearest hundredth, the circumference is 6.28 feet.

Answer:

see explanation

Step-by-step explanation:

A

Given

(x² + 3)² + 21 = 10x² + 30 ← factor out 10 from each term on the right side

(x² + 3)² + 21 = 10(x² + 3) ← subtract 10(x² + 3) from both sides

(x² + 3)² - 10(x² + 3) + 21 = 0

Substituting u = x² + 3 into the equation gives

u² - 10u + 21 = 0 → D

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

B

Using u² - 10u + 21 = 0 to solve the equation

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the u- term (- 10)

The factors are - 3 and - 7, since

- 3 × - 7 = 21 and - 3 - 7 = - 10, thus

(u - 3)(u - 7) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

u - 7 = 0 ⇒ u = 7

We now have to use the substitution to convert the solutions into terms of x, that is

x² + 3 = 3 ( subtract 3 from both sides )

x² = 0 ⇒ x = 0 → D

x² + 3 = 7 ( subtract 3 from both sides )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

Thus x = - 2 → C

x = 2 → E

I believe its A

Step-by-step explanation:you should upload picture

Solution:

Given that,

[tex]\text{ slope of line } =\frac{3}{4}[/tex]

A different line passes through the points (6, 3) & (-1, 5)

Find the slope of this line

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

From given,

[tex](x_1, y_1) = (6, 3)\\\\(x_2, y_2) = (-1, 5)[/tex]

Substituting we get,

[tex]m = \frac{5-3}{-1-6}\\\\m = \frac{2}{-7}[/tex]

For two lines are parallel, then their slopes must be equal

But here,

[tex]\frac{3}{4} \neq \frac{-2}{7}[/tex]

Therefore, They are not parallel because their slopes are not equal

Answer:

$65/hour

Step-by-step explanation:

Let C(h) represent the total amount payable to the plumber.  Then:

C(h) = $75 + (rate)(2 hr) = $205.  Solve for the "fixed hourly rate."

Subtracting $75 from both sides, we get:

(rate)(2 hr) = $130.

Dividing both sides by (2 hr) results in (rate) = $65/hour

The total bill of $205 is composed of a $75 fixed charge and $130 for the 2 hours worked. This implies that the plumber charges an hourly rate of $65. A representative tape diagram would show these components separately, with 2 equal blocks for the hourly rate totaling to the overall cost of $205.

The situation described is a basic arithmetic problem dealing with a fixed cost ($75) and a variable cost (hourly rate, represented as h). The equation that represents this problem is 75+2h=205, derived from the fixed cost plus two times the hourly rate (since the plumber worked for 2 hours). To solve for h (the hourly rate), we subtract 75 from both sides which leaves us with 2h=130, then divide by 2, giving us h=65. This means the hourly rate, h, the plumber charges is $65.

Without seeing the options A, B, C, and D, I can't explicitly say which tape diagram would best represent this situation. However, ideally, the tape diagram should illustrate $75 as a fixed cost and then two equal blocks (each equivalent to $65) to represent the cost of each hour worked. The total of all blocks combined should equal $205, the total cost.

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Answer:

x = 5 is incorrect

Step-by-step explanation:

12 1/2 should be -12 1/2

Hey there!

The distributive property is when you take one number and multiply by a quantity within parentheses and once multiplied and out of the parentheses it is the same value.

A is a simple addition problem.

C shows the associative property

D shows the commutative and associative property.

B shows that an expanded value is the same as something multiplied by something else in parentheses. Therefore, the answer is B.

I hope this helps!

Answer:

4 feet wide

Step-by-step explanation:

Area of the garden = 32 square feet

Length = 8 feet

Width = ?

The mimchi garden is rectangular in shape.

Area of a rectangle = L x W

32 = 8 x W

Divide both sides by 8

32/8 = 8/8 x W

4 = w

W = 4 feet wide

Answer:

4 ft.

Step-by-step explanation:

i did the quiz

Answer:

b = 5

Step-by-step explanation:

Proof: 5^-1 = 1/5 | 5^0 = 1 | 5^1 = 5

Answer:

Your question isn't clear

Step-by-step explanation:

Answer:

question is not clear

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

You have to do 3 x 2 x 12 = 72

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

Answer:

B. 3 ÷ 1/4 = 12

This is the correct division problem because the result is 12 and we're calculating how many fourths are in 3 wholes.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of circles = 3

Number of divisions of every circle = 4

2. Which of the following division problems describes Melinda's work?

A. 4 ÷ 3 = 4/3

It's incorrect because the total number of fourths in 3 circles is 12.

B. 3 ÷ 1/4 = 12

This is the correct division problem because the result is 12 and we're calculating how many fourths are in 3 wholes.

C. 4 ÷ 1/3 = 12

It's incorrect because the question is to determine how many fourths are in 3 wholes, not how many thirds are in 4 wholes.

D. 3 ÷ 4 = 3/4

It's incorrect because the total number of fourths in 3 circles is 12.

Answer:

(2, -5)

Step-by-step explanation:

Point slope form:  (y - y1) = m(x - x1)

(x1, y1) is the point

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

Since it is y + 5, the y value is -5

Since it is x - 2, the x value is 2

(2, -5)

Answer:  (2, -5)

Answer:

10

Step-by-step explanation:

-2k= -k-10

Add k to other side:

-2k+k=-k+k-10

-k=-10

Add + to other side which will leave you with:

k=10

Answer:

k=10

Step-by-step explanation:

If you do

-2k=-k-10

-2       -2

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

-4k-12

----- ------

-4    -4

k=10

I think it is wrong sorry if it is

Answer: He would have $1.33 after 3 years glad to help please mark brainliest!

Step-by-step explanation:

using simple interest formula: A = P(1 + r)^t

A= Total amount in 3 years

P=starting total

r=rate of percent as a decimal

t=time in years

A=1(1+0.10)^3

A=1(1+0.10)^3

A=1(1.10)^3

A=1(1.331)

A=1.331

A=1.33

Answer:$1.33

Step-by-step explanation: I did the math myself and i would say yes the person above is correct you should give him brainliest...

Answer:

x+2 1/8 = 7 2/3

Step-by-step explanation:

You write it the way it is said.

Answer:

70 days

Step-by-step explanation:

we  know that

A fort had provisions for 175 men for 70 days.

After 10 days a fort had provisions for 175 men for (70-10)=60 days

but

25 men left the fort

so

The remaining men are 175-25=150 men

Let

x ----> how long the provision will last

we know that

The equation that represent this problem is an inverse variation

[tex]175(60)=150(x)[/tex]

as the number of men decreases the number of days increases

solve for x

[tex]x=175(60)/150=70\ days[/tex]

using proportion

[tex]\frac{175}{60}=\frac{150}{x}\\\\x=150(60)/175\\\\x=70\ days[/tex]

Answer: 75 boys

Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's boys/girls.

Next, we set up our proportion.

We know that there are 5 boys for every 6 girls.

So we have 5/6 and we're asked how many boys are at the dance if 90 girls are at the dance.

So we have [tex]\frac{5}{6} = \frac{x}{90}[/tex].

Notice that the 99 girls must go on the bottom of the second ratio because our unit ratio tells us that we put boys/girls.

Solving from here, we use the means-extremes property.

The product of the extremes,

(90)(5) equals the product of the means, (6)(x).

So we have (90)(5) or 450 equals (6)(x) or 6x.

So we have 450 = 6x and dividing both sides by 6, 75 = x.

So 75 boys are at the winter dance.

Answer:

x = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the triangle into 2 right triangles.

Consider the right triangle on the left with base 2

Using Pythagoras' identity

The square on the hypotenuse (x) is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take the square root of both sides )

x = [tex]\sqrt{13}[/tex]

Answer:

Option 4

Step-by-step explanation:

sqrt(3² + 2²)

sqrt(9+4)

sqrt(13)

The possible length for the third side of a triangle with two sides of length 5 must be greater than 0 and less than 10, as determined by the Triangle Inequality Theorem.

The student is asking about a possible third side of a triangle with two sides of length 5. To answer this, we will apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, any third side length must be less than 10 (5 + 5) but also greater than 0, because if it were 10 or more it wouldn't form a triangle but a straight line. However, since the smallest possible non-zero length a side can have is just above 0, we can say the third side must be greater than 0 and less than 10.

i’m not sure but i think the function might be 75 + 8.50x=y

Answer:

1) C

Step-by-step explanation:

1) 2x + 4 < 5x + 3

3x > 1

x > ⅓

Answer:

bec we aree

Step-by-step explanation:

Answer:

1- After leaving C, I would travel to Buford.

2- After leaving Buford you can travel to either Athens or Dacula. Both rides cost the same so it doesn't matter which one you pick. I chose Athens.

3- The third city will be whichever option you didn't choose. For example because I chose Athens, I now have to travel to Dacula.

4- The total cost of the trip is $185

Step-by-step explanation:

I took the CR quiz and got a 100% I hope this helps :)

Answer:

The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices. Substitution and elimination are simple methods that can effectively solve most systems of two equations in a few straightforward steps.

Step-by-step explanation:

hope this helps

Answer:

x = -4

Step-by-step explanation:

1. Basically you do the cube root on both sides of the equation.

2. Giving you x = -4

Answer:

ONE

Step-by-step explanation:

Only one.  Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Answer:  ONE

The required, an obtuse triangle is a triangle that has one angle measuring more than 90 degrees. By definition, an obtuse triangle has exactly one obtuse angle.

An obtuse triangle, by definition, contains one obtuse angle, which is an angle greater than 90 degrees but less than 180 degrees. The obtuse angle is the largest angle in an obtuse triangle, while the other two angles are acute angles (less than 90 degrees).

Since there is only one angle in an obtuse triangle that qualifies as an obtuse angle, we can conclude that there is exactly one obtuse angle in an obtuse triangle. The remaining two angles are acute angles.

It's important to note that the sum of the angles in any triangle is always 180 degrees. In the case of an obtuse triangle, the obtuse angle occupies a portion of that sum greater than 90 degrees, leaving the remaining acute angles to share the remaining portion of the 180-degree total.

Learn more about Angle here:

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Answer:

  14.02056

Step-by-step explanation:

Multiply the rate by the quantity:

  38,946 × 0.36/1000 = 14.02056

_____

Sometimes it is helpful to think of "per" as meaning "divided by."