A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is
$
.

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b.  Then b = -3 and the desired equation is:

y = (-1/2)x - 3

y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that a line has slope -1/2 and passes through point (4, -5)

The standard equation of a line is y = mx + c where m is the slope of the line.

Solving for c,

-5 = -1/2*4 + c

c = -3

Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

For more references on the equation, click;

https://brainly.com/question/10413253

#SPJ6

Answer:

-25

Step-by-step explanation:

Answer:

c) quadrant III

Step-by-step explanation:

I will be quick in this question:

[tex]\text {For }y<0 \Rightarrow \text{Quadrant III or Quadrant IV}[/tex]

[tex]\text {For }x<0 \Rightarrow \text{Quadrant II or Quadrant III}[/tex]

What both have in common?

So, the answer is Quadrant III.

Answer:

Quadrant III

Step-by-step explanation:

x < 0 is the area to the left of the y-axis, and y < 0 is the area beneath the x-axis.  This point is therefore located in Quadrant III.

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

pls mark me brainliest pls

Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

Answer:

Yes she has enough money. She would have $3.42 left over.

Answer: -third

Step-by-step explanation:

Answer: a = 8, x = 56, y = 68

Step-by-step explanation:

Was there a description that stated this was a parallelogram?

Since that information was not provided....

I used the Law of Cosines to find x = 56°.

Congruent sides implies congruent angles so Center-Q-R = 56°.

Triangle Sum Theorem results in y = 68°

Vertical angles results in S-Center-P = 68°

Triangle sum Theorem results in S-P-Center = 68°

Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8

Answer:

f(x) = 16 * ( 3/4) ^x

Step-by-step explanation:

y = a ( b) ^x

where a is the initial value and b is the growth rate

We know when x =0 y = 16

and when x = 1 y = 12

16 = a * b^0

16 = a * 1

a = 16

So the initial value is 16

12 = 16 * b^ 1

Divide each side by 16

12/16 = b^1

3/4 = b

y = 16 * ( 3/4) ^x

Greetings from Brasil...

In the statement are given 2 moments:

X = 0 ⇒ F(0) = 16

and

X = 1 ⇒ F(1) = 12

F(X) = a . bˣ

F(0) = a . b⁰

16 = a . 1

a = 16

F(X) = a . bˣ

F(1) = a . b¹         a=16  calculated above

12 = 16 . b

b = 12/16

b = 3/4 = 0,75

so,

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

Answer:

change your cringe username please lol

Step-by-step explanation:

jk heres the answer D, x = 2

The Value of x would be as follows:

2

Given that,

Important Equations:

[tex]-8x + 8y = 8[/tex]

(i) [tex]3x - 8y = -18[/tex]

(ii) [tex]-5x - 0 = - 10[/tex]

(iii) Solving equation

By equation

(iii) [tex]x = -10 / -5[/tex]

∵ [tex]x = 2[/tex]

Thus, [tex]2[/tex] is the value of x.

Learn more about "equation solving," refer

brainly.com/question/112509

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

Answer:

[tex]\boxed{\mathrm{True}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2+3[/tex]

Put x = x -1

[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]

So, it is true.

Answer:

True

Step-by-step explanation:

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Answer:choice one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the test

Answer:

A. No Solution

Step-by-step explanation:

To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution

Answer:

A. No solution

Step-by-step explanation:

-7x - 10 - 15x = -22x + 83

-22x - 10 = -22x + 83

0 = 93

Zero doesn't equal to 93, so there are no solutions.

Answer:

The first one isn't the second one is.

Step-by-step explanation:

In the first one, they have to be equal because they're corresponding angles so m and n are parallel.

In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.

Answer:

7 nickels and 17 pennies

Step-by-step explanation:

7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each

Answer:

c

Step-by-step explanation:

Answer:

Question one

2121.76 km

Question two

(N30°E)

Step-by-step explanation:

The given information are;

The time the plane takes off = 10:15 a.m.

The direction of flight of the plane = S30E

The speed of flight of the plane = 700 km/h

Question one

The of flight at 1:45 p.m. - 10:15 a.m = 3.5 hours

The distance traveled South by the plane is the product of the y-component of the velocity and the time of travel of the plane

The y-component of the velocity = v×cos(θ) = 700 × cos(30) =  350·√3 km/h

The distance traveled = 350·√3 km/h × 3.5 = 2121.76 km

Question two

The compass bearing of the airport the plane is North 30° West (N30°E).

Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

Answer:

-1

Step-by-step explanation:

f(x) = x

g(x) = x +1,

g[f(-2)].

First find f(-2) = -2

Then substitute into g(x)

g(-2) = -2+1

        =-1

Answer:

The answer is C.

Step-by-step explanation:

First, you have to make expressions for all the flags :

[tex]let \: blue \: flag = x[/tex]

Green flag cost 10 times the price of blue flag,

[tex]green \: flag = 10 \times x = 10x[/tex]

Red flag is half the price of green flag,

[tex]red \: flag = 10x \div 2 = 5x[/tex]

Orange is 10 dollars less than red flag,

[tex]orange \: flag = 5x - 10[/tex]

Assuming that the total cost of all 4 different coloured flags is $200. So you have to solve the value of x :

[tex]x + 10x + 5x + 5x - 10 = 200[/tex]

[tex]21x - 10 = 200[/tex]

[tex]21x = 200 + 10[/tex]

[tex]21x = 210[/tex]

[tex]x = 210 \div 21 = 10 \: dollars[/tex]

Then, you have to substitute the value of x into the expression of orange flag :

[tex]orange flag = 5x - 10[/tex]

[tex]orange flag = 5(10) - 10[/tex]

[tex]orange flag = 50 - 10[/tex]

[tex]orange flag = 40 \: dollars[/tex]

Answer:

We should definitely be using the metric system in the U.S.A, as 94.7% of the world uses this system. The metric system, moreover the newer more polished system is exclusively the only system used in science. People who are unexperienced with the metric system, may encounter difficulties when dealing with real-life businesses and work that is publicly available globally, as if you need to measure a given contrivance, the metric system will be used. When countries follow a similar system to majority of the others, it will help make that country more open and less inclusive, providing a greater and more civil world.

Answer:

The biggest reasons the U.S. hasn’t adopted the metric system are simply time and money. When the Industrial Revolution began in the country, expensive manufacturing plants became a main source of American jobs and consumer products. Because the Imperial System (IS) of measurements was in place at this time, the machinery used in these factories was developed to size in IS units; all of the workers were trained to deal with IS units; and many products were made to feature IS units. Whenever the discussion of switching unit systems arose in Congress, the passage of a bill favoring the metric system was thwarted by big businesses and American citizens who didn’t want to go through the time-consuming and expensive hassle of changing the country’s entire infrastructure. Many also believed that the United States should keep its particular system, setting it apart from other countries and symbolizing its status as a leader rather than a follower.

Step-by-step explanation:

brainlist plz

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer:

15.  18 groups

16.  60 combinations

Step-by-step explanation:

6*3=18

20*3=60

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

[tex]\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}[/tex]

multiply x-5y=35 by 3

= 3x-15y=105

[tex]\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}[/tex]

[tex]3x-6y=51[/tex]

-[tex]\underline{3x-15y=105}[/tex]

[tex]9y=-54[/tex]

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

[tex]3x-15\left(-6\right)=105[/tex]

[tex]3x+15\cdot \:6=105[/tex]

[tex]15\cdot \:6=90[/tex]

[tex]3x+90=105[/tex]

subtract 90 on both sides

[tex]3x=15[/tex]

[tex]\frac{3x}{3}=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Please mark brainliest

Answer:

x=5

y= -6

Step-by-step explanation:

equ= equation

x - 5y= 35 ----- equ (1)

3x - 6y= 51 ----- equ (2)

Multiply equ (1) by 3

3x - 15y= 105 ----- equ(3)

3x - 6y= 51 ----- equ(4)

Subtract equ(4) from equ(3)

-9y= 54

y= -6

Substitute value of y into equ(1)

x - 5 x -6= 35 (the second x here means multiplication)

x + 30= 35

x= 5

Answer:

13

Step-by-step explanation:

volume of pad : 8x8x1=64

64/5=12.8

so you would need 13 bags

Answer:

Step-by-step explanation:

Since the pad frame is a square frame measuring 8 feet long and 1 foot high, we would determine its volume by applying the formula for determining the area of a cuboid which is expressed as

Volume = length × width × height

Volume of pad frame = 8 × 8 × 1 = 64 cubic feet

Since each bag of cement will fill 5 cubic feet, then the number of bags that you will need to buy to ensure enough to fill the entire frame is

64/5 = 16.8

Approximately 17 bags