Amir drove from Jerusalem to the lowest place on earth, the Dead Sea.

The units digit of 23^23 is 7. This is found using the power cycle of 3 (the units digit of the base number), which is 3, 9, 7, 1 and the remainder when the exponent 23 is divided by the length of this power cycle (4).

To find the units digit of 2323, one needs to understand a pattern in power cycles. For any number, the units digit will repeat in a certain cycle when the number is raised to higher powers. For number 3, every fourth power goes back to the value 1. Thus, the cycle for the number 3 is 3, 9, 7, 1.

Here’s how the calculation works:

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3x + 5 = 17    subtract 5 from both sides

3x = 12    divide both sides by 3

x = 4

3x + 14 = 11       subtract 14 from both sides

3x = -3    divide both sides by 3

x = -1

Answer:

4 and -1

Step-by-step explanation:3x+5=17, x=4 because 17-5=12 and 12 divided by 3 is 4.

3x=14=11 we need to subtract 14 from both sides which will give us an end result of 3x=-3, so x =-1

Answer:

Vertical lines have an undefined slope. Horizontal lines have a 0 slope.

So, undefined.

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

this slope is undefined because it goes straight down and is vertical. the x and y-coordinates never change and there is no run when doing rise over run.]

pls mark brainliest

Answer:

When you have large numbers to divide,

draw a tableau for long division on the side.

Write the steps that will be your guide,

D, M, S, B and R – Abide by to long divide!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

290 ans 4/5 miles

Step-by-step explanation:

174/24=7.25

7.25X40=290

Next problem

10/2=5

4/5

Answer:

Vegetable soup costs less because it's only $0.24/oz while chicken soup costs $0.25/oz.

Step-by-step explanation:

Vegetable = $2.88/12 = $0.24/per 1 oz

Chicken = $2.25/9 = $0.25/per 1 oz

GEMDAS!

1:

3 - 7 x 5 + 2 x 4

3 - 35 + 2 x 4

3 - 35 + 8

3 - 27

-24

2:

7 - 2 x 5 + 9 x 3

7 - 10 + 9 x 3

7 - 10 + 27

7 + 17

24

3:

2 - 8x + 3x When x = 5

2 - 8(5) + 3(5)

2 - 40 + 15

2 - 25

-23

4:

4 - 2x + 5x when x= 4

4 - 2(4) + 5(4)

4 - 8 + 20

4 + 12

16

5:

z ÷ 2 - 4z + 3(z - 3) when z = 8

8 ÷ 2 - 4(8) + 3(8 - 3)

8 ÷ 2 - 32 + 24 - 9

4 - 32 + 24 - 9

4 - 8 - 9

-13

I might've did #5 incorrect.... Really really sorry...

the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000[/tex]

Answer:  There are 13 children.

Step-by-step explanation:

1. Let's call x the number of children in the classroom. We know that each child received 4 oranges, except 5 of them.

2. There were 32 oranges in total.

3. We can write this problem as an equation that represents the number of oranges distributed, as follows:

[tex]4(x-5)=32[/tex]

4. Now we solve the equation to find the value of x:

[tex]x-5=\frac{32}{4}[/tex]

[tex]x-5=8[/tex]

[tex]x=13[/tex]

5. There are 13 children in the classroom. 8 of them received oranges and the rest did not.

Answer:

71

Step-by-step explanation:

One way in which to work this out is to multiply 100 by 5, obtaining 500, and then dividing this result by 7.  The nearest whole number is 497, or 71.

Answer:

x = 4

Step-by-step explanation:

cross- multiplying gives

5 × 3x = 4(2x + 7) ← distribute

15x = 8x + 28 ( subtract 8x from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Cross multiplication is used to solve equations with fractions or ratios. Multiply across the equals sign ('cross multiply'), and then isolate 'x' by adjusting the equation. Replace variable with actual figures to get the exact value.

Cross multiplication is a mathematical technique used to solve problems involving fractions or ratios. Let's do an example. Suppose we have a ratio equation like this: a/b = c/ x (x is the variable we need to find).

The first step is to cross multiply. So, you multiply 'a' and 'x', and 'b' and 'c'. This gives us: ax = bc.

Next, we isolate 'x' by dividing both sides of the equation by 'a'. This gives us: x = bc/a.

Now, put the actual numbers into the equation to get the value of 'x'.

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Answer:

error in summing terms in x

Step-by-step explanation:

x + 3x + 5x = 180 ( collect like terms on left )

9x = 180 ← ( 9x not 8x )

divide both sides by 9

x = 20

Alma made a calculation error in solving for the angles with a ratio of 1:3:5. The correct values for x, which is the smallest angle, should be 20 degrees with the middle and largest angles being 60 degrees and 100 degrees respectively.

Alma is attempting to solve for the measures of angles in a triangle with a ratio of 1:3:5. However, there seems to be a mistake in her calculation. To correct it, we start with her equation x + 3x + 5x = 180, which represents the fact that the sum of the angles in a triangle is always 180 degrees (Theorem 20).

Combining like terms we do have 9x = 180. Solving for x gives us x = 20.

Therefore, the measure of the smallest angle is 20 degrees, the middle angle is 60 degrees, and the largest angle is 100 degrees.

Answer:

3000 gallons of 12 percent is required

Step-by-step explanation:

We can use the formula

percentage * amount + percentage * amount =  percentage*total amount

We have 9 percent and 15 percent wine that we are mixing to get 12 percent wine.

We are adding g gallons and 3000 gallons to get a total of (g+3000) gallons

Substituting this information in

.09 *g + .15 * 3000 = .12 (g+3000)

Distribute

.09g +450 = .12g+360

Subtract .9g from each side

.09g-.09g +450 = .12g-0.09g+360

450 = .03g + 360

Subtract 360 from each side

450-360 = .03g

90 =.03g

Divide each side by .03

90/.03 = .03g/03

3000 = g

Answer:

209  = v / 255

Step-by-step explanation:

209 is v divided by 255

The word is  means equals

209  = v / 255

For the first question you best estimate would be : (1, 7) because these points are the closest co-ordinates to the real answer

Second question answer will be: The 2 lines have different slope, one is negative and another is positive. The y-intercepts for both equation are different but the x co-ordinate in both intercepts is 0

Answer: fvkglf

Step-by-step explanation: wdkogtrjfigtrkfijpwoeeefkjdmsjlfmhuygbnm,kjliuhyjbnmbgtfrghjklhyughbjnkuyliuynijedju ypour welcomebhf

Answer:

(x-10)(x+10)

Step-by-step explanation:

Here, the given expression,

[tex]x^2-100[/tex]

[tex]=(x)^2-(10)^2[/tex]

By using the identity [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]=(x+10)(x-10)[/tex]

[tex]=(x-10)(x+10)[/tex]   ( By the commutative property )

Since, further factorization is not possible,

Hence, the factors of [tex]x^2-100[/tex] are,

[tex](x-10)(x+10)[/tex]

Second option is correct.

Answer:

A

Step-by-step explanation:

Distribute the (-)

6x^3y^3+x^3y^3  +  5x^2y^2 - x^2y^2  -  x^2y+x^2y  +xy^2 +3x+3x +2-4

Cancel out bold and add:

7x^3y^3 + 4x^2y^2 +xy^2+6x-2

Answer:

350 Stamps left

Step-by-step explanation:

First do 5/8*400= 250

Then take 1/5 of it 1/5*250

You end up with 50 so do 250-50= 200 and add the 150 Canadian stamps to get a total of 350 stamps.

You can use the fact that value of a fraction of a number can be calculated by multiplying that  fraction with that number.

Peter is left with 350 stamps.

The value of a fraction of a number can be calculated by multiplying that  fraction with that number.

For example, 2/3 of 30 is calculated as:  [tex]\dfrac{2}{3} \times 30 = 2 \times 10 = 20[/tex]

Count of total stamps = Count of US stamps + Count of Canadian stamps.

Number of US stamps = 5/8 of total stamps.

Total stamps = 400.

Thus,

[tex]\text{Number of US stamps} = \dfrac{5}{8} \times 400 = 5 \times 50 = 250[/tex]

Thus, we have:

400 = 250 + Count of Canadian stamps.

400 - 250 = Count of Canadian stamps.

Count of Canadian stamps = 150

Since Peter gave 1/5 of US stamps to his friend, thus:
[tex]\text{Count of US stamps Peter gave} = \dfrac{1}{5} \times 250 = 50[/tex]

Thus, out of 400 stamps, Peter gave 50 stamps.

Thus, peter is left with 400 - 50 = 350 stamps.

Thus,

Peter is left with 350 stamps.

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Answer:

see explanation

Step-by-step explanation:

To find the intercepts, that is where the graph of the lines cross the x and y axes.

• let x = 0, in the equation for y-intercept

• let y = 0, in the equation for x-intercept

Consider each equation separately

2x + 5y = 10

x = 0 : 5y = 10 ⇒ y = 2 ⇒ (0, 2) ← y -intercept

y = 0 : 2x = 10 ⇒ x = 5 ⇒ (5, 0) ← x- intercept

2x + 3y = 6

x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y- intercept

y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept

The common solution is the y-intercept in both equations (0, 2 )

Answer:

Step-by-step explanation:

If you want the mid point for these questions then for the 1st

1. add -6 and -2 which is -8 then divide by 2 which is -4, then add -1 and -3 which is -4 and then divide by 2 which is -2. so the mid point is (-4,-2)

2. its the same as above first add -4 and 2 which is -2 then divide by 2 which is -1, then add -5 and 3 which is -2 and divide by 2 which is -1. the point is (-1,-1)

3. -3+3=0 dived by 2 which is 0, -1+5=4 divide by 2 which is 2

point is (0,2)

4. -3+4=1 divide by 2 which is 1/2 =0.5, -2+7=5 then divide by 2 which is 5/2=2.5. point is (0.5,2.5)

The slope-intercept form:

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

[tex]9y-27x=18[/tex]      add 27x to both sides

[tex]9y=27x+18[/tex]      divide both sides by 9

[tex]\boxed{y=3x+2}[/tex]

I will get in 2:16.

Now it is given that I clock out or I got out when the time was 1 hour 46 minutes.

And I have 30 minutes to go in.

So after 30 minutes, the time will be :

   1 hour +  46 minutes

+                 30  minutes  

   1 hour  +  76 minutes

Now we know that 60 minutes = 1 hour

So the time will be 2 hours and 16 minutes.

Therefore, the time at which I will get in after 30 minutes is 2:16

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Answer:

$0.24

Step-by-step explanation:

1.49 - 1.25 = 0.24

Answer:

$0.24

Step-by-step explanation:

Answer:

its 33 cm

Step-by-step explanation:

Problem 7a

Answer: [tex]18 \le y < 300[/tex]

where y is the amount of tax paid in dollars

So y is between 18 and 300; including 18 but excluding 300.

-----------------------

Explanation:

x = annual income (in dollars)

y = amount of tax you have to pay (in dollars)

If x is between 600 and 10,000 then y is 3% of that, so y = 0.03*x is the rule for the first tax bracket.

If someone's income is x = 600 dollars, then they have to pay y = 0.03*600 = 18 dollars. This is the "floor" or lowest amount of tax that must be paid. We can't go any lower.

On the other side of the spectrum for this bracket, the highest income possible is x = 10,000 so 3% of this is y = 0.03*x = 0.03*10000 = 300 dollars. This is the "ceiling" or highest amount of tax paid for this bracket.

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

Problem 7b

Answer: Annual income is over $10,000

Possible annual incomes can be expressed by this compound inequality [tex]12000 \le x \le 19000 [/tex] meaning the incomes could be between $12,000 and $19,000 (inclusive of both endpoints).

-----------------------

Explanation:

From part A above, we found that the highest paid tax in the first bracket was $300 (well $299.99 because the exact amount 300 wasn't included). The lowest amount 400 is well above the ceiling mentioned, so we must be in the second tax bracket.

Here's how we compute the second tax bracket: we take 3% of 10,000 to get $300 and then we add on 5% of the remaining income over $10,000. The equation that represents this is y = 0.05*x + 300 where x is the extra amount of money over $10,000. For example, if I said x = 20, then we are 20 dollars over $10,000

Plug in y = 400 and let's solve for x to get

y = 0.05*x + 300

400 = 0.05*x + 300

0.05x = 100

x = 100/0.05

x = 2000

Meaning that a person making an extra $2000 on top of the $10,000 already taxed earns a total of $12,000 annually

Repeat for y = 50

y = 0.05*x + 300

750 = 0.05*x + 300

0.05x = 450

x = 450/0.05

x = 9000

So the annual income is 10,000+x = 10,000+9,000 = 19,000

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

Problem 7c

Answer: Anyone earning over $20,000 will pay less in tax at the 4% tax rate.

-----------------------

Explanation:

y = original tax rate for the second bracket (3% of first 10,000 plus 5% extra)

y = 5% of (extra amount over $10,000) + (3% of 10,000)

y = 5% of (x - 10000) + (3% of 10,000)

y = 0.05*(x-10000) + 300

z = 4% of annual income

z = 0.04*x

We want to see what x values will make z smaller than y

z < y

0.04x < 0.05*(x-10000) + 300

0.04x < 0.05*x-0.05*10000 + 300

0.04x < 0.05*x-500 + 300

0.04x < 0.05*x-200

0.04x-0.05*x < -200

-0.01*x < -200

x > -200/(-0.01) ......... note the inequality sign flips

x > 20000

If you earn more than $20,000 then the original rule of "3% plus the first $10,000 plus 5% of any extra income" will charge more tax. So for higher earners, they will want the flat tax rate of 4%

Answer:

Answer:  3240 = 2^3×3^4×5

Factor the following integer:

3240

The last digit of 3240 is 0, which means it is even. Therefore 3240 is divisible by 2:

3240 = 2 1620:

3240 = 2×1620

The last digit of 1620 is 0, which means it is even. Therefore 1620 is divisible by 2:

1620 = 2 810:

3240 = 2×2×810

The last digit of 810 is 0, which means it is even. Therefore 810 is divisible by 2:

810 = 2 405:

3240 = 2×2×2×405

405 is not divisible by 2 since 405 is odd and 2 is even:

3240 = 2×2×2×405 (405 is not divisible by 2)

The sum of the digits of 405 is 4 + 0 + 5 = 9, which is divisible by 3. This means 405 is divisible by 3:

405 = 3 135:

3240 = 2×2×2×3×135 (135 is not divisible by 2 since 405 is not)

The sum of the digits of 135 is 1 + 3 + 5 = 9, which is divisible by 3. This means 135 is divisible by 3:

135 = 3 45:

3240 = 2×2×2×3×3×45 (45 is not divisible by 2 since 135 is not)

The sum of the digits of 45 is 4 + 5 = 9, which is divisible by 3. This means 45 is divisible by 3:

45 = 3 15:

3240 = 2×2×2×3×3×3×15 (15 is not divisible by 2 since 45 is not)

The sum of the digits of 15 is 1 + 5 = 6, which is divisible by 3. This means 15 is divisible by 3:

15 = 3 5:

3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 since 15 is not)

Divide 3 into 5:

| 1 | (quotient)

3 | 5 |  

- | 3 |  

| 2 | (remainder)

5 is not divisible by 3:

3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 or 3)

No primes less than 5 divide into it. Therefore 5 is prime:

3240 = 2×2×2×3×3×3×3×5

There are 3 copies of 2, 4 copies of 3 and 1 copy of 5 in the product:

Answer:  3240 = 2^3×3^4×5

3,240 =

= 324 × 10 =

= 4 × 81 × 10 =

= 2^2 × 3^4 × 2 × 5 =