The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!​
(this is linear combinations)

Answers

Answer 1

Answer:

x = 65, y = 25

Step-by-step explanation:

Given system of linear equations:

x + y = 90 2x - y = 105

Add up the equations to eliminate y:

x + 2x = 90 + 1053x = 195x = 65

Find y:

y + 65 = 90y = 90 - 65y = 25

Related Questions

What is the area of this figure?
3 mm
4 mm
13 mm
what’s the area of this figure?
12 mm
4 mm
15 mm
8 mm
10 mm
.
Write your answer using decimals, if necessary.

Answers

you multiple every side of the figure then you should get the answer

The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

The chart shows the sizes and prices of different sized boxes of Alex's favorite cereal.

Answers

Step-by-step explanation:

Compare the rates

Whichever has the smaller rate is the best deal.

remember, to be able to compare both cereal boxes they must have the same unit of measure (grams with grams, ounces with ounces, etc.)

Answer:

Price of box of cereal #1

---------------------------- = $ per ounce(or other unit)

Size of box #1 (in ounces,

or some other unit)

y=x-5 find the four points in the inverse

Answers

(0,5)
(-5,0)
(-1,4)
(1,6)

i’m not sure what your asking, but it’s an equation of a like with the y int at 5 with a slope of one

At the local ballpark, the team charges $5 for each ticket and expects to make $1,500 in consessions. The team must pay its players $2,200 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
A - 275 B - 1100. C - 2600 D - 440​

Answers

Answer:

  B - 1100 tickets

Step-by-step explanation:

Fixed costs appear to be ...

  $2,200 +1,500 = $3,700

The amount of cost that is not covered by concession income is ...

  $3,700 -1500 = $2,200 . . . . remaining cost

The contribution margin per ticket is apparently ...

  $5 -3 = $2

So, the number of tickets that must be sold to cover the remaining cost is ...

  $2200/($2/ticket) = 1100 tickets

profit = revenue minus cost.

revenue is 5 dollars a ticket plus 1400 dollars in concessions.

the cost for the players is 2000 dollars and the cost for the other workers is 1600.

each person who buys a tickets gets a free bat that costs 3 dollars each.

let x equal the number of people who buy a ticket.

revenue = 1400 + 5x.

that's the revenue from the concessions plus 5 dollars for each ticket sold.


cost = 3600 + 3x

that's 2000 for the players and 1600 for the workers and 3 dollars for each bat given away.

profit = revenue minus cost.

profit = 1400 + 5x - (3600 + 3x)

simplify to get:

profit = 1400 + 5x - 3600 - 3x.

combine like terms to get:

profit = -2200 + 2x.

to find the break even point, set profit equal to 0.

set p = 0 and the profit equation becomes:

0 = -2200 + 2x.

add 2200 to both sides of this equation to get:

2200 = 2x

divide both sides of this equation by 2 to get:

1100 = x

Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73​

Answers

Answer: The answer is the last option, Option D.

Simplify completely

(192x^12/3x^3)^1/3

Show all work for full credit

Answers

Answer and Explanation: The answer and explanation is in the image.

2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3

Answers

Answer:

C

Step-by-step explanation:

The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. About how many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed.

Answers

About 262.5 gallons of milk

262.5 gallons of milk does the class drink in 10 weeks.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week.

as, we know that

1 pint= 0.125 Galloon

So, 210 pints milk = 210 x 0.125 = 26.25 Galloon

Then, In 10 weeks amount of milk drink

= 26.25 x 10

= 262.5 Gallon

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

I need a lot of help

Answers

Answer:

lol wat r u doing .........

Henry jumped up 6 steps. Each step was 3/10 feet high. How high did he jump all together (in simplest form)

Answers

Answer:

1.8 or 14/5

Step-by-step explanation:

HENry MuST Be A KaNGaRoO

Answer:

Step-by-step explanation:

Multiply "3/10 ft high per step" by "6 steps."  This works out to:

18/10 ft was the highest that this young man jumped.

This reduces to 9/5 ft, or 1.8 ft

help guys HURRY!!! plsss! :D

Answers

Answer:

B. x+240=425

Step-by-step explanation:

Just list all of the possible answers

Answers

Answer:

what grade are you??........

Answer:

8th idea I'm sorry. uhhhhhhhh just wait not

2/3 divided by 10

PLEASE answer

Answers

Answer:

1/15

Step-by-step explanation:

2/3 x 1/10 = 2/30 or 1/15

Answer:

1/15

Step-by-step explanation:

A mechanic is paid $61,490 in salary for a year. Assuming there are 26 pays in a year, what is her biweekly (average) salary? $30,745 $3,074.50 $1,182.50 $2,365​

Answers

Answer:

$2,365

Step-by-step explanation:

Divide $61,490 by 26...

8 to the 2 power-28/4+2?

Answers

Answer:

59

Step-by-step explanation:

hope it helps brainliest pls

I need help please I'll give you 25 points​

Answers

Answer:

t = 11/21

Step-by-step explanation:

Hope this helps!!

At the movie theatre, child admission is $5.50 and adult admission is $8.90. On Friday four times as many adults tickets as child tickets were sold, for a total sales of $986.40. How many child tickets were sold that day?

Answers

Answer:

You can use grouping, quantity and value to solve this question.

Child admission = $5.50

Adult admission = $8.90

Friday sales (Quantity):

Child = x

Adult = 4x

Total sales = 5x

Friday sales (Value):

Child = $5.50

Adult = 4 × $8.90

         = $35.60

Total sales = $986.40

1 group = $5.50 + $35.60

            = $41.10

Number of groups = $986.40 ÷ $41.10

                               = 24

The number of child tickets sold is 24.

Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?

Answers

Answer:

16

Step-by-step explanation:

x+y=30  solve for x   x=30-y

substitute x with 30-y and solve

11.25x+22.4y=515.9

11.25(30-y)+22.4y=515.9

337.5+11.15y=515.9

11.15y=178.4

y=16

since we're solving for just large candles it's 16

if need small cangle number 30-16=14

9 + 6 + 5+ 15
Is that

Answers

9+6= 15
15+5=20
20+15=35
35 is the answer.

Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?

A.
5
6
miles per hour

Answers

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6

Answers

Answer:

x=0 ,y=6

Step-by-step explanation:

solve for the first variable in one of the equations

Find the perimeter of the figure.

Answers

[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]

[tex]perimeter = 72 \: \: cm[/tex]

BRAINLIEST IF CORRECT! (pls no links it rlly annoying)

Answers

looking at the picture, the region AB is where the inequality of f(x) overlaps the inequality g(x), so if we pick any point on that blue region AB, then f(x) will be TRUE and g(x) will also be TRUE, lemme narrow it down some, let's pick the point on AB of say (0,0), namely x = 0 and y = 0

let's try the 1st set

0 ⩽ - 2(0) + 3

0 ⩽ 3  <--- is that true? well yes, zero is less or equals, actually less than 3

0 ⩽ 0 + 3

0 ⩽ 3 <--- is that true? yes it's

let's try the 2nd inequalities set with the same values for "x" and "y"

0 ⩾ -2(0) + 3

0 ⩾ 3 <--- is that true? nope, no dice

let's not bother checking the other, since it already gave FALSE

let's try the 3rd inequalities set, same values

0 ⩽ -3(0) + 2

0 ⩽ 2  <--- is that true? yeap

0 ⩽ -(0) + 2

0 ⩽ 2 <---- is that true? yeap

not to bother you with the 4th set one, the 4th one fails and gives FALSE

so we know the 1st and 3rd one give TRUE on for f(x) and g(x), so which one is it?

take a peek at the picture below, notice the rise and run and therefore the slopes for each, g(x) has a slope of 2/2 = 1, and f(x) has a slope of 3/1 = 3, both going downwards, so both are negative, namely -1 and -3.

that means that  g(x) will look like -1x + something, or -x + something.

and means that f(x) will look like -3x + something.

so that means the only set with those slopes will be    [tex]\begin{cases} y\leqslant -3x + 2\\ y \leqslant -x + 2 \end{cases}[/tex]

Daniel made 32 ounces of soup for 5 people. How many ounces will each person get?

Answers

Answer:

6.4 ounces

Step-by-step explanation:

If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.

32 / 5 = 6.4

Answer: If there's a remainder, then it's 6 with a remainder of 2

If it's a decimal (depends on what grade your sister's in), it's 6.4

If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5

Step-by-step explanation:

32÷5=6r2, 6.4, or 6 2⁄5

6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?

Answers

The time it would take to paint one figurine is 0.125 hour.

The time it would take to paint 8 figurine is 1.5 hours.

The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.

Average rate = 8 /1 = 8 figurines / hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

1 / 8 = 0.125 hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

12 / 8 = 1.5 hours

A similar question was answered here: https://brainly.com/question/11967364

House of Mohammed sells packaged lunches, where their finance department has established a
weekly relationship between its Revenue R, in dollars and the number of lunches x, as R=x(82−x)
(a) Write the revenue R, in the form R=ax2+bx+c (b) What is the revenue when 35 lunches are sold? (c) Explain why the graph of R has a maximum.
(d) Write R in the form a(x−h)2+k
(e) How many lunches must be sold for them to achieve their maximum revenue?
(f) State the company's maximum revenue.
(2 marks) (2 marks) (2 marks)
(5 marks)
(2 marks) (2 marks)
(g) Complete the following table of values and graph the Revenue equation using the ordered pairs
(x , R). Label the coordinates of the vertex.
x
10
20
30
40
50
60
70
80
90
R
( 10 marks)

Answers

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

(a) R = -x² + 82·x(b) $1,645(c) The graph of R has a maximum because the leading coefficient of the quadratic function for R is negative.(d)  R = -1·(x - 41)² + 1,681(e) 41(f) $1,681

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

R = -x² + 82·x

Where, the constant term, c = 0

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

The revenue when 35 lunches are sold, R = $1,645

(c) The given function for R is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function R is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c,  we have;

[tex]\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}[/tex]

Therefore, for the revenue function, the x-value of the vertex, is; [tex]\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}[/tex]

The revenue at the vertex is; [tex]R_{max}[/tex] = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

The revenue equation in the form, a·(x - h)² + k is; R = -1·(x - 41)² + 1,681

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

The number of lunches that must be sold for the maximum revenue to be achieved is 41 lunches

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

The maximum revenue of the company is $1,681

Learn more about the quadratic function here:

https://brainly.com/question/2814100

Color The paint buckets to show the parts and then write the numbers to tell how many of each Freddy has 10 paint buckets he fills some with purple paint he fills the others with red paint how many does he fill with with each other

Answers

Is there more to the question that we are missing cause i need a little more for it to make sense

HURRY PLS!

Evaluate if a= 4 and b=7
28÷ b+7

A. 14
B. 11

Answers

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

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