8x+y=5 and x+y=12 , using substitution and elimination

Given:

The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.

There were 30 more cherry snow cones than lemon snow cones sold yesterday.

To find:

The number of snow cones which were sold altogether.

Solution:

Let x be the number of lemon snow cone sold.

The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.

So, number of cherry snow cone sold = 4x

There were 30 more cherry snow cones than lemon snow cones sold yesterday.

[tex]4x-x=30[/tex]

[tex]3x=30[/tex]

Divide both sides by 3.

[tex]x=\dfrac{30}{3}[/tex]

[tex]x=10[/tex]

Total number of snow cones sold is

[tex]\text{Total number of snow cones sold }=x + 4x[/tex]

[tex]\text{Total number of snow cones sold }=5x[/tex]

[tex]\text{Total number of snow cones sold }=5(10)[/tex]

[tex]\text{Total number of snow cones sold }=50[/tex]

Therefore, 50 snow cones were sold altogether.

Answer:

This is a function because it passes the vertical line test

Step-by-step explanation:

Answer:

7

Step-by-step explanation: please mark brainliest

(5*7)-11=24

Answer:

c

Step-by-step explanation:

a = 48 coins   4 x 6 = 24    3 x 8 = 24     24 + 24 = 48

b = 52 coins   2 x 6 = 12     5 x 8 = 40     40 + 12 = 52

c = 50 coins   3 x 6 =18      4 x 8 = 32      32 + 18 = 50   correct

d = 46 coins   5 x 6 = 30    2 x 8 = 16       30 + 16 = 46

Answer:

Step-by-step explanation:

( x + 25 )° + ( 5x + 10 )° = ( 15x - 10 )°

6x + 35 = 15x - 10

9x = 45

x = 5

Answer:

probability Han make a free throw is higher.

explanation:

Therefore, we can determine, the probability Han make a free throw is higher as the percentage of probability is more. 60% > 34.5%

Speed = Distance / time

Speed = 150 miles / 3 hours

Speed = 50 miles per hour.

Answer:

three thousand three hundred and fifty.3,350

Step-by-step explanation:

the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth  of 13,400. So, if you add 3,350 four times, it would be 13,400.

Hope this helped!<3

Answer:

6250000

Step-by-step explanation:

Answer:6250000

Step-by-step explanation:

Answer:

The value of x is D. 37°

Step-by-step explanation:

No need for math on this one, the angle next to x is 71° and is significantly bigger, so the only answer could be 37°.

The value of x will be 37°.

What is Vertically opposite angles?

Vertically Opposite Angles are the angles opposite each other when two lines cross.

Given that;

This figure has two intersecting lines and a ray.

Now, By the definition of vertically opposite angles, we get;

x° + 71° = 108°

Then, Solve for x as;

x° + 71° = 108°

Subtract 71 both side;

x° + 71° - 71° = 108° - 71°

x° = 37°

Thus, The value of x will be 37°.

Learn more about the vertically opposite angles visit:

https://brainly.com/question/1673457

#SPJ2

Answer:

$10.90

Step-by-step explanation:

Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90

A right angle = 90 degrees

A round angle = 360 degrees

1. 3 x 90 = 270 degrees

2. 4 x 90 = 360 degrees

3. 1 1/2 x 90 = 135 degrees

4. 2 1/3 x 90 = 210 degrees

5. 2/9 x 360 = 80 degrees

6. 3 3/8 x 360 = 1,215 degrees

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Step-by-step explanation:

PLATO

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

letters :- EMTY

There r only 4 letters in geometry which have one line of symmetry

Check the picture below.

[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]

Answer:

21

Step-by-step explanation:

7x3=21

21x1=21

EASY

Answer:

true

Step-by-step explanation: You are multiplying all numbers (ab)*c is basically a*b*c and a(cb) is basically a*b*c. [gimme 5-star :)]

Note the rules

The answer is option B

Answer:

a = -√3/3

b = 2√3/3

Step-by-step explanation:

Finding the slope of the tangent at C  by finding the derivative:

x^2 + y^2 = 1

2x + 2y y' = 0

2y y' = -2x

y' = -2x / 2y = -x/y

So the slope = - 1/2 / √3/2

= -1/2 * 2/√3

= -1/√3

= -√3/3

Using the point-slope form of a straight line

y - y1 = m(x - x1)

y - √3/2 = -√3/3(x - 1/2)

y - √3/2 =  -√3/3 x +√3/6

y =  -√3/3 x + √3/6 +√3/2

y =  -√3/3 x + 4√3/6

y = -√3/3x +  2√3/3

Answer: 17

Step-by-step explanation:

PEMDAS or wutever your teacher taught u

3(1+2(8-5))-(1+1)^2

Solve from the most inner parenthesis

8 - 5 = 3

3 x 2 = 6

6 + 1 = 7

7 x 3 = 21

Next solve the other part

1+1 = 2

2^2 = 4

Now put these two together

21-4 = 17

Answer:

8

Step-by-step explanation:

Using PEMDAS to solve

Parentesis

Exponents

Multiplication

Division

Addition

Subtraction

:) hoped it helped

Answer:

m needs 3 pounds of vegetables for a vegetable soup recipe. He already has 2/3 pound of carrots and 1/4 pound of celery.

Step-by-step explanation:

For Lauren's tower which he drew using only similar quadrilaterals the statement B is correct, which is the quadrilaterals are different shapes but the same size.

Quadrilateral is the plane shape which is closed polygon having which is made by using the four sides, four angles and four vertices.

The sum of all the interior angle in a quadrilateral is equal to 360 degrees.

The two quadrilateral are said to be a similar quadrilateral when the quadrilaterals are all the same size and shape.

Here, Lauren drew a tower using only similar quadrilaterals. Let's check all the statement about the quadrilaterals given as,

As for the similar quadrilaterals, quadrilaterals are all the same size and shape. Thus, the option B is the correct option.

Hence, for the Lauren's tower which he drew using only similar quadrilaterals the statement B is correct, which is the quadrilaterals are different shapes but the same size.

Learn more about the quadrilateral here;

https://brainly.com/question/16261621

Answer:100cm

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:1/-12=-0.08333

Step-by-step explanation:

-17- -18/-1 - 11

1/-12

Answer:

The answer is 12 remainder 6 but if it is a decimal form question it is 12.6

Answer:

the answer s 12$

Step-by-step explanation:

because if you do 504 divided by 42 you get 12 and if you do it backwards

42x12 you will get 504

Answer:

it would be any number that is less that ten but greater than 5

Flow is given as, F = - 4 gallon per minute into small tank.

( Since, flow is negative )

Volume of oil in large tank, V = 600 gallons.

Now,

Volume of oil has been moved :

[tex]v = F \times t\\\\v = -4 \ gallons/min \times\ 32\ min\\\\ v = -128\ gallons[/tex]

Therefore, 128 gallons of oil has been moved to small tank.

Hence, this is the required solution.

Answer:

128 gallons, into the small tank.  I think its the second option for the last box, not 100 percent sure but i did the question so yea :D

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Summing the ratios gives 1+2+2=5

300/5 = 60

(1 x 60) + (2 x 60) + (2 x 60)

(60) + (120) + (120) = 300

Hence the least share is 60

The other two shares are equal which is 120