4 3/8 + 5 6/10= 9 39/40

How do I explain how this was estimated

The amount of metal he will need to cover the back of the shelves is 180 inches².

The figure above is like a composite figure. Therefore, lets find the area.

The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.

Therefore, two rectangles can be drawn from it.

area of rectangle = lw

where

l = length

w = width

Therefore,

area of rectangle 1 = 9 × 8 = 72 inches²

area of rectangle 2 = 6 × 18 = 108 inches²

Total area = 108 + 72 = 180 inches²

Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².

learn more on area here: https://brainly.com/question/25849553

Answer:

b){ f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

I took a test recently on this and am not really sure how to explain it.

Hope this helped.

A brainliest is always appreciated.

Step-by-step explanation:

total student in the class = 30

10% are male students

[tex] = \frac{10}{100} \times 30[/tex]

= 3 male students

therefore female students = total students - male students

= 30 – 3 = 27 female students

if this helped pls give brainliest

Answer:

354.2

Step-by-step explanation:

Answer: 24 degrees

Step-by-step explanation:

The measure of a central angle is equal to the measure of the arc that it intercepts.

Answer:

31/40

Step-by-step explanation:

Find the common denominator

15/40 + 16/40 = 31/40

Let me know if this helped. Brainliest is appreicated <3

There are 12 number of ski trails shown in the table.

An equation is an expression that shows the relationship between two or more variables and numbers.

From the table attached, we can see that there are only 12 different ski distances, that is there are 12 data's in the table, hence:

The total number of ski trails = 12

There are 12 number of ski trails shown in the table.

Find out more on equation at: https://brainly.com/question/2972832

So

P(AUB)=P(A)+P(B)

Answer:

a.

Step-by-step explanation:

[tex] \frac{n - 9}{2n - 5} + \frac{3n - 1}{2n - 5} [/tex]

Since the denomaitor is the same, just add straight across.

[tex] \frac{4n - 10}{2n - 5} [/tex]

The numerator can be factored.

The greater common factor is 2 so we have

[tex] \frac{2(2n - 5)}{2n - 5} [/tex]

Notice that the numerator and denomiator are the same.

This means they will divide out to 1 so we have

[tex]2[/tex]

Answer:

If one angle is 23 then the other is 180-23 = 157

one angle is the supplementary of other

23 is the supplementary of 157

157 is the supplementary of 23

Answer: $97.2

Step-by-step explanation: 75+8%/100=81+20%/100=97.2

If their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Franklin treated his sister to lunch while visiting her in Ashland. Their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$.

We have to apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

If their lunch costs $75 and the sales tax in Ashland is 8%.

= 75+8% of 75

=75+(8/100)×75

=81

If Franklin left a 20% tip on the 75$

=81+20% of 81

=$ 97.2

Thus, if their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

Learn more about the percentage here:

brainly.com/question/8011401

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Answer:

30 cm

Step-by-step explanation:

18x1.66666667=30

Hope this helps :)

Explanation:

x = length of the actual car in inches

5% of x = 9 inches

0.05x = 9

x = 9/(0.05)

x = 180 inches

Divide by 12 to convert from inches to feet.

180 inches = (180/12) feet = 15 feet

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

Expand 4(1+0.5m): 4+2m

[tex]4\left(1+0.5m\right)[/tex]

[tex]a=4,\:b=1,\:c=0.5m[/tex]

[tex]=4\cdot \:1+4\cdot \:0.5m[/tex]

Simplify 4*1+4*0.5m: 4+2m

[tex]4\cdot \:1+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4[/tex]

[tex]=4+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.5=2[/tex]

[tex]=4+2m[/tex]

[tex]4+2m=7m[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]

[tex]4+2m-4=7m-4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2m=7m-4[/tex]

[tex]\mathrm{Subtract\:}7m\mathrm{\:from\:both\:sides}[/tex]

[tex]2m-7m=7m-4-7m[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5m=-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5m}{-5}=\frac{-4}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=\frac{4}{5}[/tex]

Answer:

The answer is 12.4641016151

Step-by-step explanation:

Trust me, I did this on a test before

Answer:

The number is 69.

Step-by-step explanation:

[tex]\sqrt{(x+12)} =9[/tex]

Square both sides.

[tex]x+12=81[/tex]

Solve for x. Subtract 12 from both sides.

[tex]x=81-12\\x=69[/tex]

Check.

[tex]\sqrt{(69+12)} =9\\\sqrt{81} =9[/tex]

Answer:

This statement is not true. (Alternate Interior Angles Theorem)

Step-by-step explanation:

<6 and <3 are both interior angles, meaning that they are on the interior of two transversals. They are also alternating the transversal, so they are alternate interior angles. The Alternate Interior Angles Theorem states that if a transversal crosses the set of parallel lines, the alternate interior angles are congruent. This means that <6 and <3 would be congruent to one another, so they would have to measure the exact same degree. Hope this helps! :)

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

Answer:

Mary

Step-by-step explanation:

You have to change the fractions so that the denominator is the same in both of them. To do this, you can multiply the numerator and denominator in 3/4 by 2. This would equal 6/8.

6/8 > 3/8

This shows that Mary climbed higher.

the answer is 15 because it is in the middle

Answer:

Step-by-step explanation:

Median is the middle term of the data set.

Median = 15

13 , 13 , 13 , 15 , 15 , 16 , 16 , 17 , 17

1 hour and 43 minutes

if ten to 11 is 1 hr, there is 43 mins left over so the answer is 1 hr 43 mins

so from 10 am to 11 am would 60 minutes (1 hour) and from 11 am hannah spent 43 additional minutes because the finish time reads 11:43 (where the numbers after the ":" sign are minutes) we add the 60 minutes with 43 to get 103 minutes or 1 hour and 43 minutes.

Answer:

You are multiplying two factors in the argument.  So we add the logs.

log(x4y3) + log((x2y5)1/3)

log(x4y3) + log(x2/3y5/3)

For each log term. The arguments are being multiplied.  So we further add the logs.  Also, any exponents become of the coefficients of logs.

4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)

Combine like log terms.

(14/3)log(x) + (14/3)log(y)

Answer:

Step-by-step explanation:

here !

Answer:

Step-by-step explanation:

in 10 hrs distance covered=speed×time=15×10=150 nautical miles.

x²=600²+150²-2×600×150×cos 20°

x²=360,000+22,500-180,000×cos 20°

x=√(382,500+180,000×cos 20°)

x\approx 742.73 nautical miles

time taken=742.73/15 \approx ~49.52 hours

total time taken=10+49.52=59.52 hours

applying sine formula

[tex]\frac{sin ~B}{150} =\frac{sin~20}{742.73} \\\sin~B=\frac{150}{742.73} \times~sin~20\\B=\sin^{-1} [\frac{150}{742.73} \times \sin~20]\\B\approx~3.96 ^\circ\\B\approx 4^\circ[/tex]

so it has to make a turn=20+4=24°

Answer:

  B.  Substitute for x in the first equation

Step-by-step explanation:

The solution to a system of equations in which one is quadratic and the other is linear will necessarily involve solving a quadratic equation. Generally, we want to arrive at that quadratic as early as possible in the solution process.

Here, we have a linear expression for x, so it is pretty simple to use that to substitute for x in the first equation:

  (2y -1)² -(2y -1) +3y = 5 . . . . substitute for x

  4y² -4y +1 -2y +1 +3y = 5 . . . . eliminate parentheses

  4y² -3y -3 = 0 . . . . quadratic in y in standard form

This does not have integer solutions, so it is perhaps best solved using the quadratic formula.

  [tex]y=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-3)}}{2(4)}=\dfrac{3\pm\sqrt{57}}{8}[/tex]

__

Additional comment

A best first step might be to input both equations to a graphing calculator and let it show you the solutions.

Answer:

X >= 5

Step-by-step explanation:

8 - 4 = 4

So X can be any number greater than or equal to 5.

Hope this helps - have a nice day! :)

Answer:

126

Step-by-step explanation:

42 homes = 2 months

multiply 3 both sides

126 homes = 6 months (if it is the same rate)