Solve the equation y = ax − b for the variable x.

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]

7C = 4A

[tex]C = \dfrac{4A}{7}[/tex] --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]

25(C + 68) = 41A

C + 68 = [tex]\dfrac{41}{25}A[/tex]

[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)

Equating (1) and (2) together;

[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]

[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]

[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]

[tex]\dfrac{-187A}{175} = -68[/tex]

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; [tex]C = \dfrac{4A}{7}[/tex]

[tex]C = \dfrac{4*64}{7}[/tex]

C = 36.57

C ≅ 37 beads

Answer: 9 quarters and 5 dimes

Step-by-step explanation:

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

Answer:

x=2, y=3

Step-by-step explanation:

This is a system of equations.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:

[tex]2*(2y-4)+y=7[/tex]

We simplify and solve for y:

→ [tex]4y-8+y=7[/tex]

→ [tex]5y=15[/tex]

→ [tex]y=3[/tex]

Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:

→ [tex]x=2*3-4[/tex]

→ [tex]x = 2[/tex]

Let me know if my explanation is unclear.

Answer:

D

Step-by-step explanation:

I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952

Sorry if this isnt enough, but i am sure.

Answer:

D.  11 < x < 19.

Step-by-step explanation:

The third side x is between 11 and 19 cm.

Consider sides AB (length 4) and BC (length 15) of the triangle.

Consider the angle between AB and BC is slightly less than 180 degrees.  To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.

Consider the angle between AB and BC is slightly more than 0 degrees.  To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side. 

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

Answer:

A. Bracelets take 3 minutes, and necklaces take 8 minutes.

Step-by-step explanation:

If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)

Answer:

23 56

Step-by-step explanation:

yt

Answer:

Step-by-step explanation:

2000264(X) b x a =177777082

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

===========================================================

Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

Answer:

Try writing to your teacher, why students should have game time on Fridays.

Step-by-step explanation:

Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.

Answer:

thanks man i really needed points

Step-by-step explanation:

Answer:

i really need it

Step-by-step explanation:

thanks for the points

Answer:

i believe their proportional

Step-by-step explanation:

cause they have a linear function

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer

9514 1404 393

Answer:

  A.  x^3 − 9x^2 + 14^x + 24

Step-by-step explanation:

(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)

  = x^3 -5x^2 -6x -4x^2 +20x +24

  = x^3 +x^2(-5-4) +x(-6+20) +24

  = x^3 − 9x^2 + 14x + 24 . . . . matches the first choice

Answer:

The other person is right it is "x^3 − 9x^2 + 14x + 24"

Step-by-step explanation:

They showed their work so i felt like u could just look at theirs!!!

Xoxo

Answer:

Look below :)

Step-by-step explanation:

1. coefficient

2. constant (it's referred to as a constant because the value never changes)

3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.

4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.

5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.

6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)

7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.

8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.

9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.

10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.

I hope this helps :)

Answer:

C. d= 1/6h

Step-by-step explanation:

2/3 dress in 4 hours

We need to find out how much of a dress can be finished per hour.

2/3 /4 = 2/12

2/12 ---> 1/6

d= 1/6h

Brainliest is much appreciated!

Answer:

On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts

Step-by-step explanation:

I got it right on the quiz

The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."

Probability is the possibility of happening an event.

Given that, there is a 60% probability of rain on a specific day.

Therefore, it rained 60% of the time on that day.

Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."

Learn more on probabilities here:

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Step-by-step explanation:

5/4+(12/4_1/2)^2

5/4+((12_8)/4)^2

5/4+1

9/4

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]

= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{6}{4}[/tex]

= [tex]\frac{3}{2}[/tex]

Answer:

80

Step-by-step explanation:

Given :

John has 3 ½ = 7/2 pounds of Skittles.

He decides to give ¾ pounds of Skittles to each friend.

To Find :

How much the leftover Skittles are.

Solution :

Let, his number of bands are x.

So, amount of Skittles left is :

[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]

Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.

Hence, this is the required solution.

Given:

Equation of line is [tex]y=3x-7[/tex].

To find:

The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get

[tex]m=3[/tex]

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

[tex]y-5=3(x-3)[/tex]

[tex]y-5=3x-9[/tex]

Add 5 on both sides.

[tex]y=3x-9+5[/tex]

[tex]y=3x-4[/tex]

Function notation of this equation is

[tex]f(x)=3x-4[/tex]

Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

Answer:80

Step-by-step explanation:

take 20 from 100 and give them to 60.

take 10 from 90 and give to 70.

adds ut to avg 80

Answer: there is no question. Its empty

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Answer:

f(-7) = -4

Step-by-step explanation:

We want to find the value of the function when x = -7

The y value of the function when x= -7 is -4

f(-7) = -4

Answer:

f(-7)=-4

Step-by-step explanation:

If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.

Answer:

1,4

2,3

1,6

6,7

5,8

5,2

1,6

7,2

8,1

3,6

4,5

1,5

2,6

3,7

4,8

Step-by-step explanation:

Alternate interior, exterior, vertical, and complemetary angles are congruent.

The pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure,

Vertically opposite angles:

∠1≅∠4

∠2≅∠3

∠5≅∠8

∠6≅∠7

Alternate interior angles:

∠3≅∠6

∠4≅∠5

Alternate exterior angles:

∠1≅∠8

∠2≅∠7

Corresponding angles:

∠1≅∠5

∠2≅∠6

∠4≅∠8

∠3≅∠7

Therefore, the pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Learn more about the parallel line angles here:

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A=90m^2

Cost=RS.7200

I hope that helps

Answer:

this is the formula that you want