Mathematics Middle School

Simplify a - {b - [c- (d - e) - f] - g]

Answers

Answer 1

Answer is a - b + c - d + e - f + g


Answer 2

Answer:

After Simplifying we get a - b + c - d + e - f + g

Step-by-step explanation:

We are given : a - { b - [ c - ( d - e ) - f ] - g }

We have to simplify it.

Step 1: First open the parenthesis mean ( ) brackets  

we get ,  a - { b - [ c -  d + e  - f ] - g }

Step 2: Now we open Square brackets .i.e.,  [ ]

we get,  a - { b - c + d - e + f - g }

Step 3: In last we open curly brackets .i.e, { }

we get, a - b + c - d + e - f + g

Therefore, After Simplifying we get a - b + c - d + e - f + g

Related Questions

nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain

Answers

the answer isn't reasonable. the actual circumference is 15.386

The circumference of circle is given by :

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

where r is radius of circle and pi =3.14

Radius = half of diameter

Radius = (1/2) *4.9 = 2.45 in.

Now let us plug the value of radius in the formula for circumference.

[tex] C =2(3.14)(2.45) [/tex]

C = 15.386 inches

But circumference found by Nadiyah is 20 inches.

So the circumference found by Nadiyah is incorrect as correct one is 15.386 inches.

The points (j, - 8) and (1, - 2) fall on a line with a slope of - 6. What is the value of j?

Answers

Answer:
j = 2

Explanation:
Slope of the line can be calculated using the following rule:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]

We are given:
slope = -6
point (j,-8) representing (x1,y1)
point (1,-2) representing (x2,y2)

Substitute with the givens in the above equation and solve for j as follows:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
-6 = [tex] \frac{-2-(-8)}{1-j} [/tex]
-6(1-j) = -2-(-8)
-6 + 6j = 6
6j = 6+6 = 12
j = 12/6
j = 2

Hope this helps :)

solve for x. 4x+28° x+19° 3x+13°

Answers

Interior angles of triangles always add up to equal 180 degrees, no matter the triangle. So, you can set all these expressions equal to 180 and solve algebraically for x.

180 = (4x + 28) + (x + 19) + (3x + 13)
180 = 4x + 28 + x + 19 + 3x + 13
180 = 8x + 60
120 = 8x
15 = x

Answer:
x = 15

To solve for angle measures, plug 15 for x into each expression.

4x + 28
4(15) + 28
60 + 28
88°

And so on.

1. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.30 m?




2. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 0.10 m?




3. What is the frequency of a wave that has a wave speed of 20 m/s and a wavelength of 0.50 m?




4. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.20 m?




5. What is the frequency of a wave that has a wave speed of 120 m/s and a wavelength of 0.40 m?




6. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 440 Hz?




7. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 880 Hz?




8. What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 400 Hz?




9. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?




10. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.50 m?

please answer fast

Answers

1. 30 Hz
2. 5 Hz
3. 40 m/s
4. 400 m/s
5. .48 m/s
6. .77 m/s
7. .39 m/s
8. .625 m/s
9. 100 Hz
10. 50 Hz

Answer:

For 1: The wave speed of the wave is 30 m/s

For 2: The wave speed of the wave is 5 m/s

For 3: The frequency of the wave is 40 Hz

For 4: The frequency of the wave is 400 Hz

For 5: The frequency of the wave is 300 Hz

For 6: The wavelength of the wave is 0.773 m

For 7: The wavelength of the wave is 0.386 m

For 8: The wavelength of the wave is 0.625 m

For 9: The wave speed of the wave is 100 m/s

For 10: The wave speed of the wave is 50 m/s

Step-by-step explanation:

Wave speed is defined as the product of its wavelength and frequency.

Mathematically,

[tex]\text{Wave speed}=\lambda\times \nu[/tex]

where,

[tex]\lambda [/tex] = wavelength of the wave

[tex]\nu [/tex] = frequency of the wave

For 1:

We are given:

[tex]\lambda =0.30m\\\\\nu=100Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.30\times 100=30m/s[/tex]

Hence, the wave speed of the wave is 30 m/s

For 2:

We are given:

[tex]\lambda =0.10m\\\\\nu=50Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.10\times 50=5m/s[/tex]

Hence, the wave speed of the wave is 5 m/s

For 3:

We are given:

[tex]\lambda =0.50m\\\\\text{Wave speed}=20m/s[/tex]

Putting values in above equation, we get:

[tex]20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}[/tex]

Hence, the frequency of the wave is 40 Hz

For 4:

We are given:

[tex]\lambda =0.20m\\\\\text{Wave speed}=80m/s[/tex]

Putting values in above equation, we get:

[tex]80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}[/tex]

Hence, the frequency of the wave is 400 Hz

For 5:

We are given:

[tex]\lambda =0.40m\\\\\text{Wave speed}=120m/s[/tex]

Putting values in above equation, we get:

[tex]80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}[/tex]

Hence, the frequency of the wave is 300 Hz

For 6:

We are given:

[tex]\nu =440Hz\\\\\text{Wave speed}=340m/s[/tex]

Putting values in above equation, we get:

[tex]340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m[/tex]

Hence, the wavelength of the wave is 0.773 m

For 7:

We are given:

[tex]\nu =880Hz\\\\\text{Wave speed}=340m/s[/tex]

Putting values in above equation, we get:

[tex]340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m[/tex]

Hence, the wavelength of the wave is 0.386 m

For 8:

We are given:

[tex]\nu =400Hz\\\\\text{Wave speed}=250m/s[/tex]

Putting values in above equation, we get:

[tex]250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m[/tex]

Hence, the wavelength of the wave is 0.625 m

For 9:

We are given:

[tex]\lambda =2.0m\\\\\nu=50Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=2.0\times 50=100m/s[/tex]

Hence, the wave speed of the wave is 100 m/s

For 10:

We are given:

[tex]\lambda =0.50m\\\\\nu=100Hz[/tex]

Putting values in above equation, we get:

[tex]\text{Wave speed}=0.50\times 100=50m/s[/tex]

Hence, the wave speed of the wave is 50 m/s

Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′? A′(4, 6), B′(6, 10), C′(7, 4) A′(2, 3), B′(3, 5), C′(7, 4) A′(4, 6), B′(6, 10), C′(14, 8) A′(4, 6), B′(3, 5), C′(14, 8)

Answers

Hello,

When you dilate a shape by a scale factor of 2, you simply multiply the coordinates by 2.

Therefore, the points become:
A(2, 3)  ===>  A'(4, 6)
B(3, 5)  ===>  B'(6, 10)
C(7,4)   ===>  C'(14,8)

Good luck,
MrEQ

The Answer is C for plato

Convert 1 3/4 feet into inches

Answers

It is 21 inches because it is



1 3/4 feet = 1.75 ft
1.75 x 12 = 21 inches

answer
21 inches

Katie Fulton, a food supplements Representative, had sales of 5859 with allowances of $422. If her commission rate is 5%, find her gross earnings.

Answers

Apparently, Katie's net sales were $5859 -422 = $5437. Her commission on those sales was 0.05*$5437 = $271.85.

Katie earned $271.85.
Final answer:

Katie Fulton's gross earnings would be $271.85 as calculated deducting allowances from total sales and then applying the 5% commission rate.

Explanation:

In this problem, Katie Fulton, the food supplements Representative, had total sales of 5859 dollars and the allowance has to be deducted from the total sales making the correct value for calculation 5437 dollars ($5859 - $422 = $5437).

Given that she earns a commission of 5%, we can calculate her gross earnings by multiplying her sales after allowance with this commission rate:

Gross Earnings = Commission rate * Sales after allowance = 0.05 * 5437 = $271.85.

So, Katie Fulton's gross earnings would be $271.85.

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Which angles are verticle? PLEASE HELP!!!

Answers

∠KLN and ∠MLI make up a pair of vertical angles. 

Vertical angles share a vertex and are the opposite angles formed by intersecting lines. They are also congruent, but just because two angles are congruent doesn't mean they are vertical. That's why ∠KLN and ∠JIG are NOT vertical, for instance.

Estimate the quotient of 239.63 ÷ 7.51

Answers

239.63 ÷ 7.51
estimate
= 240 / 8
= 30

find the zeros x^2+5x-24

Answers

x^2 + 5x - 24 = 0

(x + 8)(x - 3) = 0

x + 8 = 0   or   x - 3 = 0

x = -8   or   x = 3

A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Lisa chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.

Answers

1/9 is the probability the first marble is red. 1/6 is the probability for a blue marble.

A wire is stretched from the top of an 8 ft. pole to a bracket 5 ft. from the base of the pole. How long is the wire?

Answers

pathagorean theorem:
[tex] {a}^{2} + {b}^{2} = {c }^{2} \\ {8}^{2} + {5}^{2} = {c}^{2} \\ 64 + 25 = {c}^{2} \\ 89 = {c}^{2} \\ \sqrt{89 } = \sqrt{ {c}^{2} } \\ the \: wire \: is \: 9.43ft[/tex]

The length of the stretched wire is required.

The length of the wire is 9.43 feet.

Pythagoras theorem

b = Length of the pole = 8 ft

a = Distance between bracket and base of pole = 5 ft

c = Length of wire

The two lengths form a right triangle.

From the Pythagoras theorem we have

[tex]c^2=a^2+b^2\\\Rightarrow c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{8^2+5^2}\\\Rightarrow c=9.43\ \text{feet}[/tex]

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A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?

PLEASE HELP!!!

Answers

To figure this out you could use trial and error. I started with trying 60 mph for the freight train which means the passenger train would go 180 mph. This gave me too big of a difference (540-180 after they each travel three hours).

Then I tried 50 mph and 150 mph, and it was still too big(450-100).

When I did 40 mph it was 120 travel miles for the freight train, and 360 travel miles for the passenger train. This was the difference of 240 miles that was needed.

So the freight train traveled 40 mph and the passenger train traveled 120 mph.

Answer:

passenger was 120 and freight was 40

Step-by-step explanation:

Maria would like to leave a tip (t) of at least 15% of her dinner bill (b). Which inequality best could be used to find the amount of the tip Maria would like to leave?

Answers

First let's define the variables of the problem:
 t: Tip
 b: dinner bill.
 We write the inequality based on the following proposition:
 "Maria would like to leave a tip (t) of at least 15% of her dinner bill (b)"
 We have then that the inequation is:
 t> = 0.15b
 Answer:
 An inequality best could be used to find the amount of the tip Maria would like to leave is:
 t> = 0.15b

how to graph a function p(t)=t^4+12t^2-9t^2+108t^2

Answers

How do we graph any function? We select different values for y and simplify. We then plot the points on the xy-plane.

The population of a city in 2005 was 18000. By 2010, the city’s population had grown to 45,000. Economists have determined that the growth is exponential. If they are correct, what is the projected population for 2015?

Answers

first do 45000-18000=27,000 
and approx projected population is 45,000+18000=63,000
your answer is 63,000

Solution:

we are given that

The population of a city in 2005 was 18000.

By 2010, the city’s population had grown to 45,000.

Economists have determined that the growth is exponential.

As we know the exponential growth is defined by the relation

[tex]P=p_0e^{rt}\\ \\ \text{where P is the population at time t and initial population is } p_0\\[/tex]

Here we have [tex]p_0=18000, P=45000, t=5[/tex]

substitute these values we get

[tex]45000=18000e^{5r}\\ \\ r=0.183[/tex]

So we get

[tex]P(t)=18000e^{0.183t}[/tex]

So For population is 2015 substitute t=10

[tex]P(10)=18000e^{0.183*10}[/tex]

[tex]P(10)=112209.9598 [/tex]

The projected population for 2015 is 112210

What is the median of the data set represented by the dot plot?


Enter the answer in the box.


Answers

Answer:

The median is 14.

Step-by-step explanation:

You count 4 dots on both side and in the middle is 14 so 14 is the median.

Answer: 14

Step-by-step explanation: count 4 dots on both side and in the middle is 14

PLEASE HELP WITH 4,5,6

Answers

4. Yes because while also growing the volume of the can of juice would have to grow too. 5. It would be around 220. If we’re estimating

Anna completed 40% of her homework . Her homework has 30 question how many problems does she still need to complete

Answers

She still has to complete 18 problems!

Draw 6 circle make 3 groups shade 1 group

Answers

alright i did it..
what next

I drew 6 circles and i made three groups and i shaded one group......stop pretending that i am a slave.......

Mrs. Bowen told Mr. Bowen that there is no way he is way he is spending that much money on golf clubs. instead she wants to buy a new flat screen television for the living room. Walmart has a 55 inch ultra slim HDTV flat screen that is normally $1099.99 but its on sale for 42% off. The sales tax on the TV will be 6.5%. How much will the final price of the TV be?
Can you please explain how to do it?

Answers

Hi there!
Sounds confusing, I know.

But let me try to explain.
First we need to subtract the discount from the total.

1099.99- 42%= 637.99

So, 637.99 is our new total, but wait!
We have to add the SALES TAX!! That’s kind of important. ; )

Okay so now let’s take our new total and then add the tax.

637.99+ 6.5%= 679.45

And... there we have it. $679.45 for that beautiful flat screen tv.
Looks like the Bowen’s are in for some big savings! Maybe they can buy those golf clubs after all...

Have a terrific day! I hope I have successfully helped you.
~Brooke❤️

Beth created this design to cover a rip in her jacket. It took half an hour toplan the design and two and a quarter hours to cut and sew the frabric to the jacket. How much time did it take Beth to save her favorite jacket?

Answers

2 1/4 + 1/2
first you change 2 1/4 to an improper fraction.
4 x 2=8 +1=9 keep the denominator
9/4
and when adding to fractions you have to multiply.
(9 x 2) + (1 x 4)/4 x 2=  22/8
22 ÷ 2/22 ÷ 8= 11/4
or 2 3/4 hope it helped:D

What algebraic expressions are equivalent to “seven subtracted from a number”?

Answers

Answer will helped you!!

x-7 

there is no like terms. 

x-7 is answer.

Hopes it helped

Please help and for number 2
The answers are
1.362.24mm
2.20.55mm
3.181.12mm
4.41.1mm

Answers

area = 1/2 x B x H
1/2 x 28.3 x 12.8 = 181.12

Answer is #3

List all subsets of the following set: {dog, cat, fish}

Answers

There are 8 subsets here. We have the original set {dog, cat, fish} which we can list the items in any order we want.

Then we have the set of items where we only pick two pets
{dog, cat}
{dog, fish}
{cat, fish}
the order for any given set does not matter

Then we have the set of just one pet only
{dog}
{cat}
{fish}

And finally, we have the empty set { } which is just curly braces with nothing inside.

In summary, we have these 8 subsets
{dog, cat, fish}
{dog, cat}, {dog, fish}, {cat, fish}
{dog}, {cat}, {fish}
{ }

Note how this is equal to 2^n  = 2^3 = 8. The n = 3 indicates how many items are in the original set. The set of all possible subsets is known as the power set.

Dog , cat
Dog , fish
Cat , fish
Dog, fish , cat
Fish, cat, dog
Cat, dog , fish
Fish , dog , cat

Arlene Frank is saving money for her college

Answers

Can you please include a question please? Thank you
With all respect may you say or continue the question do we can help you out. Thank you so very much

Rewrite the following equation in slope-intercept form. 19x − 20y = -13 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Y= 0

19x = -13
X= -13/19

X=0

-20y=-13
Y= 13/20

Final answer:

To rewrite the equation 19x - 20y = -13 in slope-intercept form, you subtract 19x on both sides and then divide by -20 to isolate y. The resulting equation is y = (19/20)x + 13/20.

Explanation:

To rewrite the equation 19x - 20y = -13 in slope-intercept form, follow these steps:

Move 19x to the other side by subtracting it from both sides: -20y = -19x - 13

Divide by -20 to isolate y: y = (19/20)x + 13/20

Therefore, the equation in slope-intercept form is y = (19/20)x + 13/20.

Find the sum. 13(9−6m)+14(12m−8)

Answers

Final answer:

To solve the expression 13(9−6m)+14(12m−8), distribute the numbers and combine like terms to get the sum, which is 90m + 5.

Explanation:

To find the sum of the expression 13(9−6m)+14(12m−8), we need to distribute the numbers outside the parentheses across the terms inside the parentheses and then combine like terms.

Distribute the numbers:

13 × 9 = 117

13 × (−6m) = −78m

14 × 12m = 168m

14 × (−8) = −112

Now we combine like terms:

117 (−78m) + (168m − 112)

Simplifying this we get:

−78m + 168m = 90m

−112 + 117 = 5

So the sum is 90m + 5.

You have 4/6 cup of cornmeal in your cupboard. A recipe for 2/5 muffins calls for cup of cornmeal. How much cornmeal would you have left if you made the muffins?

Answers

4/15 is the answer
:)
4/15 is the answer to the problem

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:

Here, a is the side length of the pyramid’s square base and h is its height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
x2 +
= 0 can be used to find that the length of the sculpture’s base is
centimeters.

Answers

Final answer:

The student needs to apply the formula for the volume of a pyramid, V = 1/3 * a² * h. Since the height is 3 cm less than the side length, this introduces a variable in the equation, (x - 3), to solve for x.

Explanation:

The question relates to pyramid volume and the formulation of mathematical equations. First, it requires understanding that the volume of a pyramid is derived using the formula V = 1/3 * a² * h, where V is the volume, a is the length of the side of the square base, and h is the height of the pyramid. Since the height is stated as 3 cm less than the base (x), we can interpret this in the formula as h = x - 3.

Replacing these values in the volume formula gives us V = 1/3 * x² * (x-3). As the volume given is 162 cubic centimeters, this forms the equation: 162 = 1/3 * x² * (x-3). Simplifying this equation would provide the base length x in cm.

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