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Luke has a savings account with an initial balance of $380. He makes two transactions.
After the two transactions, the balance of Luke's savings account is the same as the
initial balance.
Which of the following could be the two transactions that Luke made?
a. A withdrawal of $200 and a deposit pf $180
b. A withdrawal of $215 and a deposit of $215
C. A withdrawal of $200 and a withdrawal of $180
d. A deposit of $400 and a withdrawal of $20

Answer:

x = 12

Step-by-step explanation:

The sum of a heptagon interior angles is 900 degrees, so:

10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900

rearrange to make it easier to subtract/add, u don't have to do this it's optional

10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900

add liket terms

22x + 29x + 19 + 269 = 900

51x + 288 = 900

subtract 288 from both sides

51x = 612

divide by 51

x = 12

9514 1404 393

Answer:

Step-by-step explanation:

Let e represent the number of pounds of expensive chocolate in the bag. Then (3-e) is the amount of the other chocolate. The total cost of the bag will be ...

  6.00e +4.50(3 -e) = 15.00

  1.50e = 1.50 . . . . . . collect terms, subtract 13.50

  e = 1 . . . . . . . . . . . . .divide by 1.50

1 pound of expensive chocolate is used; 2 pounds of other chocolate is used.

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2

Answer:

msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx

Answer:

y intercept = -5

slope= 4

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

SO THATS HOW WE ARRIVED AT -5 AND 4.

WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

​

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

​

y≤15−

4

7

​

x

​

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

​

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

To learn more about inequality equations click :

https://brainly.com/question/11897796

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Answer:

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])

                                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]

                                               = [tex]\frac{4}{7}[/tex]

Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]

                                 = [tex]\frac{1}{7}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

the answer is

[tex]1 \frac{1}{3} [/tex]

Answer:

m, p

Step-by-step explanation:

i really really really like birds

Answer:

Its the upper limit and lower limit of the class

Answer:

a)

(4a - 3b + 4) + (a + 3b - 1) =

4a - 3b + 4 + a + 3b - 1 =

5a + 3

b)

(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =

2x^2 - 3x - 3 - x^2 - 6x + 8  =

x^2 - 9x + 5

c)

(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =

3m^2 + 5m - 6 - m^2 - 4n + 5 =

m^2 + 5m - 4n -1

d)

(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =

4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =

7x^3 - 8xy^2 - 5y^2

e)

(5m + 2lm) + (l^2 - 3m^2 - 2lm) =

5m + 2lm + l^2 - 3m^2 - 2lm =

5m + l^2 - 3m^2

Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ2

Answer:

y = 2x + 1

Step-by-step explanation:

-3 = 6x - 3y

Add 3y to both sides.

3y - 3 = 6x

Add 3 to both sides.

3y = 6x + 3

Divide both sides by 3.

y = 2x + 1

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer:

Step-by-step explanation:

3000

Answer:

[tex] \frac{1} {2^{-1}}[/tex]

Step-by-step explanation:

[tex] \huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } } [/tex]

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

Answer:

I think that it would be -4.5

Step-by-step explanation:

Have a great day!

Answer:

-4.5

Step-by-step explanation:

yeahhhhhhh

Answer:

Note that  24  - 10  =  14  don't have black  fur

And suppose  that these 14 are part of the 17 that don't catch mice

Then.....3 that catch mice  must also have black fur....and this is the smallest number that do not catch mice but have black fur

the answer os 60% of 20 is 12

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct