Please help me solve question 2

Answer:

solution: ( 3 , 6 )

[tex]\sf y =6[/tex]

[tex]\sf x =3[/tex]

Step-by-step explanation:

[tex]\sf y = \frac{2}{3} x+4[/tex]

[tex]\sf 2x+3y = 24[/tex]

make y the subject in equation 2:

[tex]\sf 2x+3y = 24[/tex]

[tex]\sf 3y = 24-2x[/tex]

[tex]\sf y = \frac{24-2x}{3}[/tex]

insert this in equation 1:

[tex]\sf \frac{24-2x}{3} =\frac{2}{3} x+4[/tex]

[tex]\sf \sf \frac{24-2x}{3} =\frac{2x+12}{3}[/tex]

[tex]\sf (24-2x) = (2x+12)[/tex]

[tex]\sf -2x-2x=12-24[/tex]

[tex]\sf -4x=-12[/tex]

[tex]\sf x =3[/tex]

solve for y:

[tex]\sf y = \frac{24-2x}{3}[/tex]

[tex]\sf y = \frac{24-2(3)}{3}[/tex]

[tex]\sf y =6[/tex]

Answer:

(3, 6)

Step-by-step explanation:

[tex]\textsf{Equation 1}: \ y=\dfrac23x+4[/tex]

[tex]\textsf{Equation 2}: \ 2x + 3y =24[/tex]

Substitute equation 1 into equation 2:

[tex]\implies 2x + 3\left(\dfrac23x + 4 \right) =24[/tex]

Expand brackets:

[tex]\implies 2x +2x+12=24[/tex]

Collect like terms:

[tex]\implies 4x+12=24[/tex]

Subtract 12 from both sides:

[tex]\implies 4x=12[/tex]

Divide both sides by 4:

[tex]\implies x=3[/tex]

Now substitute found value of x into equation 1:

[tex]\implies y=\dfrac23(3)+4[/tex]

[tex]\implies y=2+4[/tex]

[tex]\implies y=6[/tex]

Therefore, solution is (3, 6)

EXplain please ! i will mark brainliest show UR WORKING

I will give BRAINLIEST :))

Question 4 mille Choice Worth 5 points)
(LC)

STORIES OF USEFUL INVENTIONS, excerpt
By S. E. Forman
1911

THE MATCH

There never was a time when the word was without fire, but there was a time when men did not know how to Kindle fire and after they teamed how to Kindle one, it was a long, long time before they learned how to kindle one easily
In these days we can kindle a fire without any trouble, because we can easily get a match, but we must remember that the match is one of the most wondertul things in the world, and that it took men thousands of years to kam how
to make one. Let us learn the history of this familiar e object, the match
Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set abtaze by a thunderbolt, we may say that nature strikes a match. In the eany history of the world,
nature had to kindle all the fires, for man by his own effort was unable to produce a spark The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by nature-by a volcano, perhaps, or by a stroke of
lightning These firebrands were carried to the home and used in kinding the fres there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would
sometimes be extinguished a sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.
In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, Chlorate of potash, and sulphid of antimony, and nutbed it on sandpaper, and it burst into fame. The druggist had discovered the first friction
chemical match the kind we use to-day. It is called friction chemical because it is made by miding certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless was not a
good one it could be lighted only by hard rubbing, and it sputtered and the in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now
Delighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub t. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the
match with which we are so familiar

Which does the author mean by nature had to knde as the fires, for man by his own effort was unable to produce a spark?

1. Humans were unable to make fire

2. Nature was unable to make fire

3. Humans were not very intelligent

4. Humans did not try to make fire

(PLEASE GIVE GOOD ANSWER ILL GIVE BRAINLIEST)
A cornhole board measures 30 inches by 12 inches. The hole has a diameter of 4 inches. What is the probability of a point being on the board but not inside of the hole?
(PLEASE GIVE GOOD ANSWER ILL GIVE BRAINLIEST)

is 5=-2 no infinitely many or 1 solution ​

simplify to create an equivalent expression. 8 -4(-x + 5)

Simplify the expression.
27 1/3+ 32 1/5

select one:
a. 2
b. square root of 5
c. 1/2
d. 5
e. 4 square root of 3

I need help with this equation

If p is inversely proportional to the square of q, and p is 27 when q is 5, determine p when q is equal to 3.

WILL MARK BRAINLIEST PLEASE HELP!!!​

The letters of the word HAPPINESS are written on cards. One card is chosen random. Find the probability that the letter on the card is
(a) P.
(b) T.

I'll mark you as brainliest ​

Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)​

a child has a box of candies which might have a toy inside. the odds against the box having toys inside are 6/7. what is the probabilty of the box having a toy?

Tanner is walking home from school, which is 9 blocks from his home. He walks 1 block per minute.
Write an equation that shows the relationship between the number of minutes Tanner has been walking, x, and the number of blocks he is from home, y.

A bag contains x white, y red and z blue balls. A ball is drawn at the random, then what is the probability of drawing a blue ball.

​

Show that the triangles are similar and write a similarity statement.
E
14
27
A
C 18
D
21
B
ZACB4
DC
CE
=
So ΔABC ΝΔ

Can you please help me with this question using proportions

Does anyone know the answer to this I will make brainliest

Josh makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours

Write equivalent fractions for 3^3 bottom 4 and 1^2 bottom 3

Rachel, a 45-year-old female, bought a $120,000, 20-year life insurance policy through her employer. Rachel is paid biweekly.

How much is deducted from each of her paychecks for life insurance?
$63.14
$68.40

$81.05

$87.80

Brain invests £2500 into his bank account he receives 2.5% per year simple interest how much will Brian have after 5 years give your answer to the nearest penny where appropriate

76 divided by 19 using a array

Hannah was getting ready for a party. It took her 24 minutes to pack her toys to bring and 16 minutes to have lunch. If she was ready to leave at 4:42 p.m., what time did she start getting ready? 3:02 p.m. 4:02 p.m. 4:12 p.m. 5:12 p.m.

The quotient of a number,g, and the sum of 3e and 5

Check all the statements that are true: A. The equality relation on the real numbers is an equivalence relation. B. If a relation is symmetric, it cannot be anti-symmetric. C. A relation from a set with n elements to itself can have up to elements. D. If is an equivalence relation, then . E. A function is a special relation. F. If a relation is anti-symmetric, it cannot be symmetric. G. The equality relation on the real numbers is anti-symmetric. H. If is a reflexive relation on a set S, then any two - related elements of S must also be related. I. The less than or equal relation on the real numbers fails to be an equivalence relation because it is reflexive and transitive but not symmetric. J. There are relations from a set with n elements to itself.

help ill give brainliest
alculate the area of the figure below using the following information:

Area of triangle ABC = 7.95 square units

Area of triangle ACD = 9.8 square units

Area of triangle AED = 8.75 square units

Image of irregular pentagon with vertices points A, B, C, D, and E starting at upper left moving clockwise. Two dotted diagonal lines, one connecting vertices A and C, and the second connecting vertices A and D.

The area of the Figure ABCDE is ______ square units

Help 'Find the area of the figure'​

Need help with my assignment

you can helps me?
f(x) = x + 20
g(x) = x + 5
(f o g) (2) = ?​

Solve the triangle, AMDM

The vertices A(-2,-1), B(-3, 2), C(-1, 3), and D(0, 0) form a parallelogram. The vertices A'(-1, -2), B'(2, -3), C'(3,-1),
and D'(0, 0) are the image of the parallelogram after a sequence of transformations. Which sequence of transformations
could produce the image from the pre-image?
O a reflection over the x-axis and then a reflection over the y-axis
O a reflection over the y-axis and then a 90clockwise rotation about the origin
O a 90clockwise rotation about the origin and then a reflection over the y-axis
O a 90 counterclockwise rotation about the origin and then a reflection over the x-axis
Save and Exit
Next
Mark this and return
Submit