Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $490 of interest after 5 years,

Answer:

X=22

Step-by-step explanation:

258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.

Step-by-step explanation:

given :

The driving distance from Los Angeles to a Chicago is 2,054 mi. The distance from Chicago to Boston is 983 mi.

so, the numbers of mile driving from Los Angeles to Boston though Chicago =

2,054 + 983 = 3.037 mi

There are no solutions to this system.

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Explanation:

Let's simplify and rearrange terms for the first equation. The goal is to get it into the form Am+Bn = C, where A,B,C are constants.

4(m-n) = 7(1-n)

4m-4n = 7-7n

4m-4n+7n = 7

4m+3n = 7

Let's do the same for the second equation

(3/2)n = 4 - 2m

3n = 2(4-2m)

3n = 8 - 4m

4m+3n = 8

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The result of each simplification is that we ended up with 4m+3n on the left hand side for each equation. The only difference is that we got 7 for the first equation and 8 for the next one.

This is a contradiction because 4m+3n can only equal one number at a time for any given (m,n) pair. It's like saying z = 7 and z = 8 at the same time, where z = 4m+3n. But z can only equal one value at a time.

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In summary, the given system leads to a contradiction and the system is inconsistent. This means that there are no solutions. There are 0 ordered pairs (m,n) that make both original equations to be true.

The correct answer is there is exactly one ordered pair ([tex]m = \dfrac{73}{56}[/tex] , [tex]n = \dfrac{13}{14}[/tex] ) that satisfies the given system of equations.

Given

[tex]4(m - n) = 7(1 - n)[/tex]

[tex]\dfrac{3}{2} n = 4 - 2m[/tex]

First, simplify the second equation:

[tex]\dfrac{3}{2} n +2m = 4[/tex]

Now,  solve this equation for n:

[tex]n = (4 - 2m) * \dfrac{2}{3}[/tex]

[tex]n = \dfrac{(8 - 4m)}{3}[/tex]

Now, substitute this value of n into the equation [tex]4(m - n) = 7(1 - n)[/tex] :

[tex]4(m - \dfrac{(8 - 4m)}{3}) = 7(1 - \dfrac{(8 - 4m)}{3}[/tex]

[tex]m = \dfrac{73}{56}[/tex]

From the value of m, substitute it back into the equation for n:

[tex]n = \dfrac{(8 - 4m)} { 3}[/tex]

[tex]n = \dfrac{13}{14}[/tex]

The solution is one ordered pair  [tex]m = \dfrac{73}{56}[/tex]  and  [tex]n = \dfrac{13}{14}[/tex].

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Answer:

-45

Step-by-step explanation:

Get a common denominator

4y/9-6y/9=10

-2y/9=10

Multiply by 9

-2y=90

Divide by -2

y = -45

Answer:

30% decrease in price

Step-by-step explanation:

Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.

Answer:

7

Step-by-step explanation:

To solve this, we have to solve for h.

We can use order of operations to figure this one out.

[tex]18h-9h-7h+3=17\\18h-9h-7h=14[/tex]

Now that every variable on the left side of the equation has an h, we can factor.

[tex]h(18-9-7)=14\\h=\frac{14}{18-9-7} \\h=\frac{14}{2} \\h=7[/tex]

Answer:

6

I just did some trial and error with the numbers

186-96-76+3=17

Unless I did it wrong, then just ignore this answer

Answer:

1.300

Step-by-step explanation:

The length and the width get multiplied and your answer would be 1.300

Answer:

ignore this

Step-by-step explanation:

5-7=21

Answer:

[tex]a = \sqrt{63} [/tex]

Answer:

2.8n.8n.8n.8n

option no. 4

Answer

[tex]\frac{4}{5}[/tex]；0

Step-by-step explanation:

Log3 81- loge 1=4-0=4

And then 2 minus negative 3 is 5 so the answer is 4/5

144, 0

Answer:

there are 2 circles for each square

Answer:

OC 12

Step-by-step explanation:

:)

Answer:

d. 7 × (10 + 9) = (7 × 10) + (7 × 9)

Step-by-step explanation:

The format of writing numbers in distributive property is a(b+c) = (a×b)+(a×c)

We can see that in choice d. 7 × (10 + 9) = (7 × 10) + (7 × 9) it is in correct format of writing numbers in distributive property. Thus, choice d. is correct.

Verification:-

a(b+c) = (a×b)+(a×c)

7 × (10 + 9) = (7 × 10) + (7 × 9)

Answer:

12 hours

Step-by-step explanation:

X = 6:30

From 6:30 am to 6:30 pm = 12 hr

The number of hours that Ben worked at the restaurant can be calculated by the expression, Xpm - Xam.

The number of hours that Ben worked can be represented as:

= Time he finished working - Time he started working

= X pm - X am

If for instance, he started work at 7 am and finished at 12 pm, he would have worked:

= 12 - 7

= 5 hours

The expression that shows the length of time he worked can therefore be concluded to Xpm - Xam.

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Answer:

x = 16

Step-by-step explanation:

6x + 3 = 7x -19

3 + 19 = 7x - 6x

22 = x

so

=6x + 3

=6× 22 +3

=135°

then

=7x - 19

=7 × 22 -19

=135°

Answer:

(6x+3)=(7x-19)

-x+3=-19

-x=-22

x=22

Step-by-step explanation:

Answer:

lol this is easy use a cal  4 x

Step-by-step explanation:

the answer is 14 !

Step-by-step explanation:

sorry i think its 14 its 14 beacuse if u subtract 16-2=14 14x1=14

Answer:

Angle 4 and angle 5 also equal 180

Because angles 4 and 5 are supplementary angles (two angles that add to 180) and because 4 and 5 equal 180 that means that 5 equals 6. So 5 and 6 are congruence angels

Answer:

y=-5+2/3(x)

Step-by-step explanation:

take 2x-3y=15, then subtract 2x from both sides

       -2x      -2x

that gives you -3y=15-2x

divide by -3

-3y=15-2x

________

      3

that gives you y=-5+2/3(x)

Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed

Answer:

Answer:

x < 4

Step-by-step explanation:

f(x) = 9x+4

here,9*1+4=13

9*2+4=22

9*2+4=31

.

.

.

Answer:

50 mL

Step-by-step explanation:

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Answer:

50mL

Step-by-step explanation:

20% = 1/5

1/5 of 250 is 50

Therefore, she received 50mL of IV fluids.

Hope this helped!

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation of a vertical line is ...

  x = constant

If you want the line to go through a point with an x-coordinate of 3, then the constant must be 3.

  x = 3 . . . . . . .vertical line through (3, 4)

Answer:

6.38 × 0.08 = 5,104 not 6,9768 .

step by step attached

The next term of the sequence of the numbers 2, 5, 4, 10, 8, 20, is 16.

A Sequence is a list of numbers that are in order. Sequence follows a particular pattern.

Therefore, let's study the pattern of the sequence to know the next term.

2, 5, 4, 10, 8, 20,

The pattern can be explained as follows;

2(2) = 4

5(2) = 10

10(2) = 20

8(2) = 16

Therefore, the next term of the sequence of the number is 16.

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Answer:

These answer are written in standard form

Step-by-step explanation:

D. The sum of four and twice a number = 2x+4

C. Seven more than three times a number, all multiplied by itself = 3x+7

B. Nine less than a number, all divided by three = [tex]\frac{n-9}{3}[/tex]