Solve the riddle. Two-thirds of a number increased by five is the same as negative two-sixths of a number increased by fourteen. Two-thirds x + 5 = negative StartFraction 2 Over 6 EndFraction x + 14 What is the number?

Answer: He is able to carry 40 letters

Step-by-step explanation: The total weight the mail carrier is allowed is 30 pounds, whereas each letter weighs 12 ounces.

What we need to do is simply find the rate of conversion between an ounce and a pound.

By conversion, 1 ounce equals 0.0625 pounds, that is;

1 ounce = 0.0625 pounds

Therefore 12 ounces would be 0.0625 times 12 which equals, 0.75 pounds. This means one letter weighs an equivalent of 0.75 pounds. If the mail carrier is allowed to carry a total of 30 pounds, then he can carry;

No of letters = Total weight allowed/weight of one letter

No of letters - 30/0.75

No of letters = 40

Hence the mail carrier is able to carry 40 letters.

Your Answer is C. He can carry 40 letters.

Step-by-step explanation:

Hope it helps!

Good luck!

Answer:

#1: x=6, -1

#2: x=2, 3

#3: x = - 4/3, 2

#4: x = -5/2, -2

#5: x = 1/2, -7/2

#6: x= -1/2, 2/3

#7: x = 1/3, 1/4

Step-by-step explanation:

You’re gonna have to copy this down quickly because if they see that I don’t have an explanation, they are going to delete my comment. So hurry!!!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have that

[tex]f(x) = x^2 + x - 9[/tex]

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

Answer:

(-6,0)(-5,0)

Step-by-step explanation:

Final answer:

The area of Ciro's trapezoidal sign is calculated using the formula for the area of a trapezoid, which is 503.5 square inches.

Explanation:

The student's question involves calculating the area of a trapezoid. The formula for the area of a trapezoid is ½(√ + ∛)×h, where √ and ∛ are the lengths of the parallel sides and h is the distance between these sides. Given that √ = 18 inches, ∛ = 35 inches, and h = 19 inches, plug these values into the formula to get:

Area = ½(18 inches + 35 inches) × 19 inches

Area = ½(53 inches) × 19 inches

Area = 26.5 inches × 19 inches

Area = 503.5 square inches

So, the area of Ciro's sign, which is trapezoidal is 503.5 square inches.

Answer:

y+4(-1)=11

y=11+4

y=15.

ii)y+4(0)=11

y=11

ii)y+4(3)=11

y=11-12

y=-1

when y=1

1+4x=11

4x=11+1

4x=12

x=3

Answer:

The answer is D. x= 4

Step-by-step explanation:

The angles are congruent so

2.3x +25 = 5.8x + 11

2.3x - 5.8x = 11 - 25

-3.5x = -14

x = 14/3.5

x = 4.

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

First angle          2.3x + 25

Second angle    5.8x + 11

Process

1.- This angles are congruents, this menas that they measure the same so to find x, equal both values.

                         2.3x + 25 = 5.8x + 11

2.- Solve for x

                         2.3x - 5.8x = 11 - 25

3.- Simplification

                                -3.5x = -14

                                      x = -14/-3.5

4.- Result

                                     x = 4

The total cost (excluding raw materials) of filling this order is $11,300.

Let's denote the matrices as follows:

[tex]\[ B = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \][/tex]

This matrix represents the number of loaves for each type of bread.

[tex]\[ A = \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \][/tex]

This matrix represents the cost per hour for mixing, baking, and packaging.

[tex]\[ C = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]

This matrix represents the number of hours needed for each process (mixing, baking, packaging).

Now, we can calculate the product BAC to find the total cost:

[tex]\[ BAC = B \cdot A \cdot C \][/tex]

Let's perform the calculations:

[tex]\[ BAC = \begin{bmatrix} 400 \\ 200 \\ 350 \end{bmatrix} \begin{bmatrix} 14 & 25 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} (400 \times 14 + 200 \times 25 + 350 \times 2) \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} 5600 + 5000 + 700 \end{bmatrix} \][/tex]

[tex]\[ BAC = \begin{bmatrix} 11300 \end{bmatrix} \][/tex]

So, the total cost (excluding raw materials) of filling this order is $11,300.

20% of a = 11

[tex]\frac{20}{100}[/tex] a = 11

[tex]\frac{1}{5}[/tex] a = 11

a = 55

I hope this helps! If you have any questions, feel free to ask.

Answer.

2.2

Why:

in percents you always put the percent above 100% ( so it'll look like this---- 20/100) and your number that is left out would be 11 so you put it by your percent like this----20         a

                               100        11

so now you do divide and multiply: you divide 20 by 100 and multiply by 11 to get a which is 2.2

Answer:

Step-by-step explanation:

Given:

250 students And respective percentage of students who are having dogs and cats.

To Find:

60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog

Solution:

Taking each condition as follows:

60% of 250 have cats

i.e   0.6 *250= 150 students have cats

So 150 students of that 70% has dogs

i.e 0.7*150=15*7=105 students have dogs

Now 40 % of 250 dont have cats

i.e  0.4*250=100 students dont have cats

So  Of which 75 % have dogs

i.e 0.75*100= 75 students will have dogs.

Now making tabular forms to understand properly,

(Refer the Attachment)

To find the probability of getting all 4 cards that are queens, we calculate the number of favorable outcomes and the total number of possible outcomes. The probability is the number of favorable outcomes divided by the total number of possible outcomes.

To find the probability of getting all 4 cards that are queens, we need to calculate the number of favorable outcomes (4 queens) and the total number of possible outcomes when 4 cards are dealt from a shuffled deck of 52 cards.

The total number of possible outcomes can be calculated using combinations. We can use the formula C(n, r) = n! / (r!(n-r)!), where n is the total number of items (52 cards) and r is the number of items to be selected (4 cards). So, C(52,4) = 52! / (4!(52-4)!) = 270,725.

The number of favorable outcomes is 4 since we want all 4 cards to be queens.

Therefore, the probability is the number of favorable outcomes divided by the total number of possible outcomes: P(all 4 cards are queens) = 4/270,725 = 0.00001475 (rounded to 5 decimal places) or approximately 0.0015%.

Answer:

(0,-5)

Step-by-step explanation:

(−2,−2)

and

(2,−8)

Midpoint: (-2+2)/2, (-2-8)/2

0/2, -10/2

(0,-5)

Answer:

36.87°

Step-by-step explanation:

Since ABC is a right-angle triangle, we can use trigonometric ratios to solve for unknown angles and sides.

For Angle at A, we have lengths of opposite and adjacent sides so we can use tangent at A.

tan(A) = opposite/adjacent

tan(A) = CB/AB

tan(A) = 6/8

A = (tan^-1)(0.75)

A = 36.86989765°

Answer:

My friends

Step-by-step explanation:

the surface area of the triangular prism is

60 square feet

This is hard hi and I'm guessing 60 also

Answer:

1 1/3 ft

Step-by-step explanation:

We have 8 feet of board to work with. In order to find how long each of the 6 pieces are, we need to divide 8 by 6: 8 / 6 = 4 / 3 = 1 1/3 ft.

Thus, the length of each piece is 1 1/3 ft.

Hope this helps!

Answer:

he's 7 years old

Answer:

Step-by-step explanation:     Kevin will actually be 6 years and 2 months old

Answer:

Step-by-step explanation:

Given that,

Rate of change of a function

1. From x = 1 to x = 4

2. From x = 5 to x =8

Then,

Rate of change for first condition

∆x/∆t = (x2-x1) / (t2-t1)

∆x/∆t = (4-1) / (t2-t1)

∆x/∆t = 3 / (t2-t1)

Rate of change for second condition

∆x/∆t = (x2-x1) / (t2-t1)

∆x/∆t = (8-5) / (t2-t1)

∆x/∆t = 3 / (t2-t1)

The rate of change are equal, it shows that the slope are equal.

So, it is a straight line function.

Since it has equal rate of change..

Answer:

11/16 and 12/16=3/4

Step-by-step explanation:

First we need to get a common denominator

5/8*2/2 = 10/16

The fractions between 10/16 and 13/16

are 11/16 and 12/16

We can simplify 12/16 =6/8=3/4

There are many others if we go with a higher common denominator.  These are just two examples

Answer:

D

Step-by-step explanation:

100+25 * 12 ; 100+300 = 400 ; difference = 400-320=80 ; percent increase since it is 1 year = 80/320 =1/4=0.25 = 25/100=25%

When you cross-multiply the fractions 2/5 and 3/8, you obtain two products: 16 and 15.

To find the products obtained when you cross-multiply the fractions 2/5 and 3/8, you multiply the numerator of the first fraction with the denominator of the second fraction, and the denominator of the first fraction with the numerator of the second fraction.

So, here are the steps:

Therefore, the two products you get when you cross-multiply the fractions 2/5 and 3/8 are 16 and 15. Thus, the correct answer is option c: 16 and 15.

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Answer:

Inscribed angle

Step-by-step explanation:

an angle is a inscribed angle if the vertex is on a circle and the sides of the angle are chords of the the circle

Final answer:

An angle with its vertex on a circle and sides that are chords of the circle is called an inscribed angle. This concept relates to the angle of rotation, which is the arc length divided by the radius of the circle.

Explanation:

An angle with its vertex on a circle and sides that are chords of the circle is known as an inscribed angle. The angle is formed by the two chords that intersect on the circumference of the circle, creating an angle inside the circle.

To understand this concept in relation to movement along a circle's circumference, like a compact disc (CD), one can think of the movement in terms of the angle of rotation. For any point on a rotating CD, the rotation angle can be calculated. This angle is the ratio of the arc length (the distance traveled along the circumference) to the radius of the circle. If the CD completes one full revolution, this angle equals 2π radians (or 360 degrees), indicating a full rotation.

Understanding inscribed angles and rotation angles helps us think about geometric figures and rotational movement, whether in a mathematical problem or in a physical example like a CD rotating on its axis.

Answer:

A) 18+81=9(x^2+6x+9)

D)11+(x+3)^2

Step-by-step explanation:

To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9

There are multiple ways to get there.

First we could divide by 9 to get.

x^2 + 6x = 0

Then, add 9 to both sides to get:

x^2 + 6x + 9 = 9

Factor the left side:

(x + 3)^2 = 9

Now, you can solve this equation by completing the square.

(*I think you have a typo in your answer choices)

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Answer:

.003539823 to be exact

Step-by-step explanation:

well 565 cant go into 2 one time so it be a decimal.

Answer:

153.1ml

Step-by-step explanation:

We have 12.5ml of acid in the solution.

If we want this to be 3% then we can divide this value by 3 and times by 100 to get the total value.

416.6ml total solution amount

415.6-12.5-250=153.1

Answer:

Angle E should be 105 degrees.

Step-by-step explanation:

Since a triangle equals 180, you subtract 47° and 28° from that and come up with 105°.

The angle E is 105 degrees when  Angle D is 28 degrees. Angle F is 47 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let the triangle be DEF.

Angle D is 28 degrees. Angle F is 47 degrees.

We need to find the angle E

By angle sum property we know the sum of three angles of a triangle is 180 degrees.

28+47+x=180

75+x=180

Subtract 75 from both sides

x=180-75

x=105 degrees.

Hence, the angle E is 105 degrees when  Angle D is 28 degrees. Angle F is 47 degrees.

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y < 2/3x - 1

Find the Equation of the line

P1(-3,-3) P2 (3,1)

1.) Find the Slope

Rise: 1-(-3) = 4

Run: 3-(-3) = 6

m = [tex]\frac{Rise(Changeiny)}{Run(Changeinx)}[/tex] = [tex]\frac{4}{6}[/tex]=[tex]\frac{2}{3}[/tex]

2.) Find y intercept (B)

 y = 2/3x + b

-3 = 2/3(-3) + b <-Plug a point in

-3 = 2 + b

-2   -2

 -1 = b

3.) Equation

y = 2/3x - 1

Write an inequality

Since y must be below the line, that means y is less than the equation used to find the line.

y < 2/3x - 1

Though I was not able to get the right answer I'll just answer what has the right equation.

Answer:

y < Two-thirdsx – 1

Step-by-step explanation:

Answer:

About 6 athletes.

Step-by-step explanation:

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.

Hope this helps.

The solution is: About 6 athletes does that represent.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40

= 0.159 · 40

= 6.36 or about 6 athletes.

Hence, The solution is: About 6 athletes does that represent.

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$65×25%=$65×($65×0.25)=$1056.25

$823×21.4%=$823×($823×0.214)=$144,948.406

$33,333×4.3%=$33,333×($33,333×0.043)=$47,776,822.227

$12,831×52%=$12,831×($12,831×0.52)=$85,609,971.72

$44,893×3.4%=44,893×(44,893×0,034)=$68,522,969.266

Answer:

Explanation:

The measure of the missing angle is [tex]25^\circ[/tex]. So, the first option is correct.

Important information:

We need to find the third angle of the triangle.

According to the angle sum property, the sum measure of all interior angles of a triangle is 180 degrees.

Let [tex]x[/tex] be the measure of the missing angle.

[tex]x+35^\circ+120^\circ=180^\circ[/tex]

[tex]x+155^\circ=180^\circ[/tex]

[tex]x=180^\circ-155^\circ[/tex]

[tex]x=25^\circ[/tex]

Thus, the first option is correct.

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Answer:

A

Step-by-step explanation:

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

or

C=pi times 2r

Answer:

A

GIVE THE OTHER GUY BRAINLIEST

ALL CREDIT TO HIM

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

             y = x² + 10x + 26

Factor the right side of the equation

         y - 26 = x² + 10x

-Complete the perfect trinomial square

         y - 26 + (5)² =  x² + 10x + (5)²

-Simplify

        y - 26 + 25 = x² + 10x + 25

              y - 1 = (x + 5)²

Vertex = (-5 , 1)

The function given is a vertical parabola whose axis of symmetry goes through x = -5