Herbert has sold 92, 28, 83 and 75 suits in the last four months, respectively. How many suits will he need to sell this month to maintain an average of at least 71 sales per month? ​

Answer:

-39/15

Step-by-step explanation:

=-8/5-4/3+1/3

Taking LCM of 5,3 and 3.

=3(-8)-5(4)+5(1)/15

=-24-20+5/15

=-44+5/15

=-39/15

Note:if you need to ask any question please let me know.

Answer:

f(x) = x²-x+12

Step-by-step explanation:

f(x)=(x-4)(x+3)

or, f(x)=x²+3x-4x-12

or, f(x) = x²-x-12

Answer:

Rectangular pyramid volume: 120 ft³

Rectangular prism volume: 840 ft³

Total volume of the composite figure: 120+840 = 960 ft³

Answer:

x = - 2

Step-by-step explanation:

Given

[tex]2^{x+3}[/tex] × [tex]3^{x+4}[/tex] = 18 = 2 × 9 = [tex]2^{1}[/tex] × 3²

Then

[tex]2^{x+3}[/tex] = [tex]2^{1}[/tex]

Since bases on both sides are equal, both 2, then equate exponents

x + 3 = 1 ( subtract 3 from both sides )

x = - 2

Then

[tex]2^{-2+3}[/tex] = [tex]2^{1}[/tex]

and

[tex]3^{-2+4}[/tex] = 3²

18 = 2 × 3²

Answer:

x=-2

Step-by-step explanation:

[tex]2 {}^{x + 3} \times 3 {}^{x + 4 = 18} [/tex]

Apply the Inverse of the Product of Power Rule

If

[tex]x {}^{y} \times x {}^{z} = x {}^{y + z} [/tex]

This means that

[tex] {x}^{y + z} = {x}^{y} \times {x}^{z} [/tex]

So in order words,

[tex](2 {}^{x} \times 2 {}^{3} ) \times (3 {}^{x} \times 3 {}^{4} ) = 18[/tex]

[tex](2 {}^{x} \times 8) \times (3 {}^{x} \times 81) = 18[/tex]

Divide both sides by 31 and 8.

We get that

[tex]2 {}^{x} \times {3}^{x} = \frac{1}{36} [/tex]

[tex]6 {}^{x} = \frac{1}{36} [/tex]

Take the log of both sides.

[tex] log_{6}( \frac{1}{36} ) = x[/tex]

[tex]6 {}^{ - 2} = \frac{1}{36} [/tex]

so

[tex]x = - 2[/tex]

Answer:

6 schools

Step-by-step explanation:

The answer is 6 schools.

In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.

The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.

To make an equation we need to set 100% = 24 and solve for 25% :

[tex] \frac{25}{100} = \frac{x}{24} [/tex]

solvr and x=6

There are various charts which represents mathematical and statistical data with graphical representation.

The correct answer for the given question is ,

I - Chart

Since this chart is used to present data for continuous inspection.

The charts are used for representation of inspected data in to structure way which helps understand the changes easily.

I chart is usually used when there is continuous inspection for the data. This type of chart used to monitor the process when measuring data at regular intervals.

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Answer:

the 2 numbers are 38 and 24

Answer:

24 and 38

Step-by-step explanation:

If we assign the variables x and y to the two numbers we can set up two equations,

x+y = 62

x = y + 14

Substituting the second equation into the first,

(y+14)+y = 62

2y + 14 = 62

subtract 14 on both sides

2y = 48

divideboth sides by 2

y = 24

If y = 24, then x = 38 because x is 14 more than y.

Step-by-step explanation:

angle x is equal to 65

angles of triangle is equal to 180

Answer:

Hello,

Step-by-step explanation:

[tex]mes\ \widehat{QOP}=60^o\ since \ triangle \ OQM\ is\ isocele\\\\M=middle\ of\ [OP]\\\\x=90^o -60^o=30^o\\[/tex]

Answer:

1) 1 * 10^5    2) 3.5 * 10^3

Step-by-step explanation:

Pages read by Arnold in 7 minutes = 3 pages

Pages read by Arnold in 1 minutes

= 3/7 pages

= 6/14 pages

Pages read by Brenda in 14 minutes = 8 pages

Pages read by Brenda in 1 minutes = 8/14 pages

(6/14) < (8/14)

So, speed of Arnold < speed of Brenda.

So, Brenda reads faster.

Answer:

An E

Step-by-step explanation:

Answer:

e comes in every odd number

i.e. one,three,five,seven,nine,eleven......

Step-by-step explanation:

Answer:

-6 = n

Step-by-step explanation:

-6=2n-n

Combine like terms

-6 = n

Answer:

8% out of 175 = ( 8 ÷ 100 ) × 175 = 14

175 cm - 14 = 161 cm

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

Answer:

Convert fraction (ratio) 8 / 16 Answer: 50%

Step-by-step explanation:

Step-by-step explanation:

what to find then??.........

Answer:

-2(x^2 - 2x + 7) = 0

Step-by-step explanation:

-2x^2+4x=14

subtract 14 on both sides

-2x^2+4x-14=0

Pull out a -2

-2(x^2 - 2x + 7) = 0

Answer:

k = 6704x

Step-by-step explanation:

4x + 6700x = k

Simplify terms by subtracting or adding.

➡️ 4704x = k

swap both sides of the following equation.1

➡️ k = 6704x, x ∈ ℝ

Answer:

32

Step-by-step explanation:

A = l*w

55 = 5*w

55 /5 = 5w/5

11 = w

The perimeter is

P =2(l+w)

P = 2(5+11)

  =2(16)

  = 32

Answer:

32Units

Step-by-step explanation:

We know Area of rectangle=LENGTH×BREADTH

Here, breadth and Area given

55=5×L

L=11(value of length=11)

Perimeter=2(L+B)

32=2(5+11).

Answer:

stop cheating

Step-by-step explanation:

get smart

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

Answer:

B

Ive had this before

Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

−

5

=

7

−

9

3x-5=7x-9

3x−5=7x−9

3

−

5

+

5

=

7

−

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

−

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

−

4

3x=7x-4

3x=7x−4

3

−

7

=

7

−

4

−

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

−

4

=

−

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

−

4

=

−

4

-4x=-4

−4x=−4

−

4

−

4

=

−

4

−

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

The pattern is going backwards, and every time, the gap between each number increases by one.

For example 49 comes directly after 48 when counting, so in this pattern, 48 is one behind 49. While 46 is two behind 48, and so on and so forth.

49 - 48 - - 46 - - - 43 - - - - 39 - - - - - 34 - - - - - - 28 - - - - - - - 21.

Hope that makes sense.

Answer:

210 ways

Step-by-step explanation:

The number is ₁₀C₄=10!/4!*6! = 210 ways

Hope this helps. Please mark as brainliest

The correct answer is 210

They can do this in ¹⁰C₄ ways. Because there is no order to be followed while selecting, we use the combinations formula

ⁿCₓ = n!/x!(n-x)! , where n is the number of people, and x is the sample

Substituting n = 10, x = 4, we get

​¹⁰C₄ = 10!/4!(10-4)!

¹⁰C₄ = 10!/4!6!

¹⁰C₄ = 10*9*8*7*6/4!6!

¹⁰C₄ = 10*9*8*7/4*3*2*1

¹⁰C₄ = 210

So, the group of 4 members can be sent in 210 ways.

There are 210 different groups of 4 members they could send.

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Answer:

[tex]\boxed {\boxed {\sf 8.7}}[/tex]

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

[tex]a^2 + b^2 =c^2[/tex]

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

[tex]a^2 + (5)^2 = (10)^2[/tex]

Solve the exponents.

[tex]a^2 + 25=100[/tex]

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

[tex]a^2 +25-25=100-25[/tex]

[tex]a^2=100-25[/tex]

[tex]a^2 = 75[/tex]

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {a^2}= \sqrt{75}[/tex]

[tex]a= \sqrt{75}[/tex]

[tex]a= 8.660254038[/tex]

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

[tex]a \approx 8.7[/tex]

The length of the third side is approximately 8.7

Using Pythagorean theorem

[tex]\boxed{\sf B^2=H^2-P^2}[/tex]

[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]

[tex]\\ \sf \longmapsto B^2=100-25[/tex]

[tex]\\ \sf \longmapsto B^2=75[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]

[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]

[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]

[tex]\\ \sf \longmapsto B=8.66[/tex]

[tex]\\ \sf \longmapsto B\approx 8.7[/tex]

Answer:

48.32

Step-by-step explanation:

It's the 2nd labeled angle from the right end of the upper horizontal line.

Answer: A) Reflection along the line y = -1

===========================================================

Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.