Remove the parentheses from the following expression, and combine like terms: (a + b - c) + 3a - 2c

Answer:

1:3

Step-by-step explanation:

First, of all, keep in mind that you don't need the number of boys, because it is not in the question. Now we can look at the basic equation, which is "What is the ratio of counselors to girls." That would be Counselor: Girls. There are 10 counselors and 30 girls. Now we need to simplify the ratio. Much like simplifying a fraction, you need to simplify it with the same number. In this case, the best number to simplify with is 10, because it works with both numbers. 30 divided by 3 is 10. 10 divided by 10 is one.  Now, lets put this in an easier way to understand:

Counselor = 1

Girls = 3

So, the ratio would be 1:3.

Answer:

c. -10/7

Step-by-step explanation:

-v-23/21=1/3

-v=1/3+23/21

-v=10/7

v=-10/7

Answer:

Step-by-step explanation:

Simple Interest = Principal * Rate * Time/100

Amount = Principal + Interest

If  $120 doubles in approximately 13 years, then the amount after 13years = 2*$120 = $240

Interest = $240-$120

Interest = $120

120 = 120*Rate * 13/100

1 = 13Rate/100

13rate = 100

rate = 100/3

rate = 33.3%

Hence the interest rate is 33.3%

Answer:

Step-by-step explanation:

256

The required solution for the total area of the shape is 129 square feet.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

In the given diagram, there are two shapes,

One is rectangle whose sides are 16 feet and 5 feet.

And other is square whose side is 7 feet.

Since, the area of rectangle = length x width = 16 x 5 = 80 square feet.

And area of square = (side)² = (7)² = 49 square feet.

Total area of shape = area of rectangle + area of square

                                 = 80 + 49

                                 = 129 square feet.

The total area of the shape is 129 square feet.

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Answer:

A) 585 miles

B) 584 miles

Step-by-step explanation:

We are told that the satellite pass directly over two tracking stations A and B, which are 90 mi apart.

This means that we can look at this as forming a kind of triangle where Tracking stations A & B will be

opposite ends of the base of the triangle while the satellite position will be the apex of the triangle.

We are given the angles of elevation at A and B to be 87.0° and 84.2° respectively.

Now, if we depict the satellite position as C. Then we have;

Angle at C = 180 - (87 + 84.2)

Angle at C = 8.8°

I've attached an image depicting this triangle.

A) To find the distance of the satellite from Station A, from the image attached, the distance will be AC.

Since AB is 90 mi.

Thus, using sine rule, we have;

AB/sin C = AC/sinB

Plugging in the relevant values;

90/(Sin 8.8) = AC/(sin 84.2)

AC = (90 × (sin 84.2))/(Sin 8.8)

AC = 585.27

To the nearest mile gives;

AC = 585 miles

B) To find out how high the satellite is above the ground, is the perpendicular distance from point C to line AB

Let's call the point at which the line touches AB as D.

It means angle D is 90° and it means triangle ADC it's a right angled triangle where AC is the hypotenuse = 585 miles.

Thus, using Trigonometric ratios we can find CD

Sin(87) = CD/585

CD = (Sin 87) x 585

CD = 584.198 miles

Approximating to the nearest mile gives;

CD = 584 miles

Answer:

Distance from A to Satellite: 1832.951 miles

Distance from satellite to ground: 1830.439 miles

Step-by-step explanation:

Answer: So unfortunately a lot of these answers for this question are not answering it correctly for the way that it is asked, which is not their fault because they cannot see the image in which it is referring to. Thats because in this question when it says the angle of elevation of A is 87° it is actually talking about the angle OUTSIDE of side A in the image, NOT THE INSIDE ANGLE. meaning that the inside angle across from angle B at 84.2 is actually 93° not 87°. (since it is the corresponding angle on a 180° line and we follow the geometric laws).

Now say we name the triangle ABC, we now have INNER ANGLE A at 93° and INNER ANGLE B at 84.2°.

To get INNER ANGLE C you subtract both ANGLE A & B added together from 180° to get ANGLE C since the all interior angles of a triangle = 180°

180°-(93°+84.2°)=2.8° so INNER ANGLE C =2.8°

Now we can use the LAW OF SINES to find the LENGHT OF SIDE "a"(lower case) (DISTANCE from A to C)(Which is Distance from Satellite to Station A)

DISTANCE FROM A TO C is referred to side "b" (lower case), as it is the side across from the INNER ANGLE B, same as side "c" (lower case) is DISTANCE FROM A TO B, as it is across from INNER ANGLE C.

LAW OF SIGNS EQUATION

b/sinB= c/sinC which means:

b/sin(84.2)=90/sin(2.8)

Which equates to c=90sin84.2/sin(2.8)

Which = 1832.951 (DISTANCE FROM SATELLITE TO A)

NOW to find the DISTANCE FROM THE SATELLITE TO GROUND: Draw a straight line down from satellite making a new RIGHT TRIANGLE.

Even though it is a RIGHT TRIANGLE (Call it XAC, X being the GROUND ANGLE) you can still use the Law of Sines to figure out the HEIGHT FROM GROUND TO SATELLITE.

This is where the 87° ANGLE comes in. With the new RIGHT TRIANGLE we have created, we know 2 of the interior angles: 87° and 90°. to find last interior angle just add together and subtract from 180.

180°-(87°+90°)=3°

Since we know side a SIDE "a" from previous Triangle, it now just becomes SIDE "x" (DISTANCE FROM A TO SATELLITE) which is 1832.9 miles.

Now use law of sines to find new side A (DISTANCE FROM X(GROUND) to SATELLITE(C)

The equation would be:

a/sinA=x/sinX which is

a/sin87=1832.951/sin90 which equates:

1832.951sin(87)/sin90=

1830.439 miles.

Very long and hard problem especially without image which I shall add. Good effort to everyone who tried to answer problem, it was correct if ANGLE A was inside the 2 SATELLITES, unfortunately it just wasn't the right way to find the answer that the actual question being asked (or I assume the actual question since I had it in my homework as well), which again was impossible to know without the image the problem gave.

I could never find the right answer for this problem so I made this to try and help others once I finally found the right answer (which I did finally get correct on the homework so I know this is correct, my problem simply had the distance from A to B as 80 Miles so I just reworked it for this problem with 90 miles instead. It is the same procedure no mater the values you are given, just replace them with the ones you're being asked)

HOPE THIS HELPS =]

Answer:

7000

Step-by-step explanation:

I think this is the answer

Answer:

D. x + 1

Step-by-step explanation:

The expression[tex] \frac{x^2+3x+2}{x+2} [/tex] can be simplified as follows:

[tex]x^2 + 3x + 2 [/tex]

Doing middle term factorisation

[tex]= x^2+(2+1)x+2[/tex]

[tex]=x^2+2x+1x+2[/tex]

[tex]=(x + 2)(x + 1)[/tex]

Again

Dividing both side by x+2.

[tex]\frac{x^2 + 3x + 2}{x + 2} = \frac{(x + 2)(x + 1)}{x + 2}[/tex]

we get

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

Therefore, the expression

[tex]\frac{x^2+3x+2}{x+2}[/tex] is equivalent to D. x + 1.

Note that the expression is only equivalent to x + 1 when x is not equal to -2. If x = -2, then the expression is undefined.

Answer:

Step-by-step explanation:

Statements:

A. The ratio of ginger ale to the entire punch bowl is 1 to 4

B. The ratio of orange juice to ginger ale is 2 to 2

C. The ratio of juices to the ginger ale is 2 to 2

D. The ratio of the entire punch bowl to the juices is 2 to 4

E. The ratio of the orange juice to the raspberry juice is 1 to 1

Answer:

Showing results for plants

Search instead for plsntd

Map of plants

Burson Feed & Seed Inc

4.7  

(26) · Garden center

124 Rome St

Open ⋅ Closes 5PM · (770) 832-6252

Sold here: plants

Pat's Place

3.3  

(3) · Garden center

60 Old Airport Rd

Open now · (770) 836-0597

Sold here: plants

Garden Center at The Home Depot

5.0  

(2) · $ · Garden center

1332 S Park St

Open ⋅ Closes 9PM · (770) 832-1796

Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

Answer:

c + s = 258

s = c - 60

---

c + s = 258

c + c - 60 = 258

2c - 60 = 258

2c = 318

---

c = 159

s = 99

Step-by-step explanation:

Answer:

At $8.40 an hour for a 40 hour week the earnings would be $336. With 5 hours overtime the pay would be $12.60 an hour which equals $63 making her earnings a total of $399 for the 45 hour work week. would be Step-by-step explanation:

Answer:

x > -6/11

Step-by-step explanation:

4x - 10 > x/3 - 12

~Simplify

4x - 10 > 1/3x - 12

~Add 10 to both sides

4x > 1/3x - 2

~Subtract 1/3x to both sides

11/3x > -2

~Multiply 3/11 to both sides

x > -6/11

Best of Luck!

Answer:

Volume of the figure = 704 units³

Step-by-step explanation:

The figure is composed of a triangular prism and a square prism.

Volume of the figure = volume of triangular prism + volume of square prism

Volume of the figure = ½*a*b*a + a³

Given, that, a = 8 units; b = 6 units, plug in the values into the equation.

Volume of the figure = ½*8*6*8 + 8³

Volume of figure = 4*6*8 + 512

Volume of the figure = 192 + 512

Volume of the figure = 704 units³

Answer:

for example...

Step-by-step explanation:

dame un ejemplo!!

Answer:

(y-1)= -4(x-4)

Step-by-step explanation:

point slope form is y - y1= m (x - x1) so just plug in the slope and the (x,y).

Answer:

yes

Step-by-step explanation:

Answer:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Step-by-step explanation:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Answer:

1. 2x + y = 3

2. y = -5

3. x -y = -3

4. 3x -y = 9

5. x + y = -2

6. 6x + y = -5

7. x + y = 2

8. y = -3

9. x + y = 4

10. x - y = -2

Step-by-step explanation:

It will take too long to explain all questions, so if you want more information on how to do these kinds of math problems please comment on this answer.

Answer:

1

Step-by-step explanation:

if you plug in 12 it's 5- 12/3 which gives you 5-4 then you just subtract and get 1

Answer:

  -8

Step-by-step explanation:

Find the ordered pair with 3 as the first element: (3, -8). This tells you ...

  g(3) = -8

Answer:

$0.067

Step-by-step explanation:

Total cost of 16 bags = $12.80

weight in 1 bag = 12 ounce

weight in 16 bag = 16 * weight in 1 bag

weight in 16 bag = 16* 12 ounce = 192 ounce

Thus,

192 ounce cost = Total cost of 16 bags= $12.80

cost of 182 ounce = $12.80

to find cost of 1 ounce , we divide both side by 182

cost of 1 ounce = 12.80/192 = $0.067

Thus,

the unit cost per ounce is $0.067

Answer:

-3-9x/3=y or just 9x if you divide completely by the 3

Answer:

your answers c. v t and t w

Answer:

TV and TW

Step-by-step explanation:

Answer:

u=16

Step-by-step explanation:

Considering the margin of tolerance, the correct option regarding which shelves are not within the specified tange is given by:

Both the 114.3 and 115.7 cm shelves.

The margin of tolerance is of values within 0.6 cm of 115, hence values between 114.4 cm and 115.6 cm.

Hence, the correct option regarding which shelves are not within the specified tange is given by:

Both the 114.3 and 115.7 cm shelves.

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Answer:

122

Step-by-step explanation:

The complement of an angle adds up to 90.

The supplement of an angle adds up to 180.

So if the unknown angle has a complement of 32, then that angle has to be 58.   32 + 58 = 90.

You now know the angle is 58 so the supplement is

180 - 58  which is 122

Answer:

2 3/8 hours longer

Step-by-step explanation:

Please mark Brainliest when able.

Answer:

The correct answer is 3 + -4.

Step-by-step explanation:

First the arrow begins at 0 and moves to the right 3 spaces positive, ending at 3. Then it moves backwards, which is subtracting left 4 spaces towards -1 past zero. When adding a negative to a positive, you convert it to subtraction. 3 + -4 is the same as 3 - 4. We know 4 - 3 normally is 1, but the other way around, since 4 is more than 3, we go one extra space negative to -1. Therefore, 3 + -4 is the answer.

A linear inequality is an inequality in which each term is either a constant or the product of a constant and a single variable.

In mathematics, an inequality expresses a relationship between two quantities using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to). A linear inequality specifically refers to inequalities where the terms involved are either constants or the product of a constant and a single variable.

For example, consider the linear inequality 3x - 2y < 5.

Here, the terms 3x, -2y, and 5 satisfy the criteria of a linear inequality as they involve constants (3 and -2) and a single variable (x and y).

The multiplication of constants and variables is allowed in linear inequalities as long as each term follows the specified conditions.

Linear inequalities are commonly used in various fields of mathematics, economics, and sciences to represent relationships between quantities, such as constraints in optimization problems or conditions for feasible solutions.

They provide a framework for analyzing and modeling real-world situations where variables are subject to certain limitations or conditions.

In summary, a linear inequality is an inequality where each term is either a constant or the product of a constant and a single variable, allowing for the representation of relationships between quantities in various mathematical and real-world contexts.

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Answer:

You can finish 1 problem (rounded) or 1.35 problems

Step-by-step explanation:

6 2/3 minutes=9 math problems

1 minute=1.35