1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?

Answer:

16 5c coins

34 10c coins

Step-by-step explanation:

(I prefer to use whole numbers)

5x + 10y = 420

x+y=50

multiply the bottom problem by -5

5x +10y =420

-5x -5y = -250

combine the problems

5y = 170

divide by 5

y = 34

that means x = 16

34 10c coins

16 5c coins

-- Gage Millar, Algebra 1/2 tutor

The number of 5 cent coins are 16 and the number of 10 cent coins are 34.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, a trader has a mixture of 5 c and 10 c coins.

Let the the number of 5 c coins be x and the number of 10 c coins be y.

He has 50 coins in all, with a total value of $4.20.

So, x+y=50 ---------(I)

5x+10y=420 ---------(II)

Multiply equation (I) by 5, we get

5x+5y=250 ---------(III)

Subtract equation (III) from (II), that is

5x+10y-(5x+5y)=420-250

⇒ 5y=170

⇒ y=34

Substitute y=34 in equation (I), we get

x=16

Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.

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Answer:

1) 11c

2) 9m - 14

3) 4x - 5

-----

4) x = 4

5) x = 2

Step-by-step explanation:

1)

10c + c

11c

2)

5m + 2( 2m - 7 )

5m + 4m - 14

9m - 14

3)

6x - ( 2x + 5 )

6x - 2x - 5

4x - 5

-----

4)

3x + 7 = -5

3x = 12

x = 4

5)

18 = 4x + 10

8 = 4x

2 = x

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

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Answer:

No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.

Answer:

D I believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combining like terms occurs at this step:

3x - 6 + 6 = 3 + 6

Combining the - 6 + 6 =and 3 + 6 yields:

3x = 9

Answer:

2. a.

3. g.

4. e.

Answer:

A = 87.5 sq cm

Step-by-step explanation:

A = 1/2·h·(sum of bases)

A = 1/2 · 7 · (10 + 15)

A = 3.5(25)

A = 87.5 sq cm

Step-by-step explanation:

two equations if you want an inequality

y = -3x + 60

3x <= 60

graph it and you get x = 20 which is your answer

Answer:

the negative 5 is showing that you are losing grain in the silo because you are letting some out.

Answer:

20 feet

Step-by-step explanation:

The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.

When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.

20 - 14 = 6 feet

This means that the balloon is now 6 feet above the ground.

I hope I've helped! :)

well im guessing it the average highway speed 60 mph so it is $7

Answer:

38.66

Step-by-step explanation:

Answer:

aaa is easy you can pitch the ball

Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have Owen's score in a card game is 6 points away from zero. David's score is the opposite of Owen's and is a positive value.

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

A number cannot be negative and positive at the same time, therefore, Owens score is 6 points away from 0, but in the negative direction of number line. So, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

Therefore, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

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To find the parallel :

First of all, Parallel equations should have the same slope and a different y-intercept!

Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.

When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!

Practice

We already know our equation will be in the form y = mx + b

And we also know that the slope will be the same : m = 4/7

So y = 4/7x + b

Lets find b !

The line passes through the point (0,0) of origin :

0 = 4/7*0 + b

b = 0

So the y intercept is b = 0

And finally the equation will be :

y = 4/7x

Good Luck

Answer:

See attachment

Step-by-step explanation:

Answer:

an = a(n-1) -4

Step-by-step explanation:

From the table we see that

a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...

Notice the numbers decrease by 4 so

a2 = a1 -4

a3 = a2 -4

a4 =a3 -4

a5= a4-4

generalized we will have

an = a n-1 -4

Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87

The chicken thighs cost $1.29 per pound purchased.

The cost of 3 pounds is:

= Cost per pound x Number of pounds

Solving would give:

= 1.29 x 3

= $3.87

In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.

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Step-by-step explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

y=mx+

lb

Where

m

is the slope and

b

is the y-intercept value.

y

=

−

4

x

+

1

Therefore, the slope of the line represented by the equation in the problem is:

m

=

−

4

Let's call the slope of a perpendicular line:

m

p

The slope of a perpendicular line is:

m

p

=

−

1

m

Substituting gives:

mp=

[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]

Answer: B

Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.

Answer:

C

Step-by-step explanation:

first way: (easier way)

Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.

(0,5 is in the blue region)

second way:

find the equation of the in-equality:

the line that divides solutions and non-solutions passes through 3,3 and -3,-1

y=mx+b

m=change in y/change in x = (-1-3)/(-3-3) = 2/3

y=2/3x+b

plug x=3, y=3 (from the point "3,3")

3=2/3*3+b

3=2+b

b=1

y=2/3x+1 is the solution of the line.

the in-equality is

y(?)2/3x+1

plug in -5,5, which is a solution (looking at the graph)

5>-7/3

so use >, and not <

y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that

x=0,y=5 is a solution

Step-by-step explanation:

(b + 3)(b + 7) = ...

= b² + (3 + 7)b + (3•7)

= b² + 10b + 21

Answer:

421.88

Step-by-step explanation:

7.5^3=421.88

Answer:

121

Step-by-step explanation:

Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.

In other words, y °, the angle next to 59°, is equal to x°.

Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.

So, 59° + y ° = 180°

Isolate y by subtracting 59 from 180.

180 - 59 = 121

y ° = 121

So, x° = 121°

We want to see underline the correct part in each statement.

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

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If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).

Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.

Check the 2 attachments for the steps.

______

RainbowSalt2222 ☔

Answer:

infinite number of solutions

Step-by-step explanation:

x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1

x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side

[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60

Since expressions on both sides are equal then any value of x is a solution.

That is there is an infinite number of solutions