How do you solve this?

Answer:

C)3x+6y=9

-2x-4y=4

Step-by-step explanation:

A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together.

Lets check with each option

We multiply the first equation by 2  and second equation by 3 and add it.

When both x  and y terms gets cancelled then we can say there were no solutions.

A) -2x+4y=4

-3x+6y=6

Equation becomes

-4x + 8y = 8

-9x + 18y = 18

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

-13x + 26y = 26

B) 3x+y=12

-3x+6y=6

Multiply first equation by 2  and second equation by 3

6x + 2y = 24

-9x + 18x = 18

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

-3x + 20y = 42

C)3x+6y=9

-2x-4y=4

Multiply first equation by 2  and second equation by 3

6x + 12y = 18

-6x - 12y = 12

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

          0 = 30

Both x  and y terms becomes 0. Hence there is no solution for these system of equations.

Answer:

.3x+6y=9

-2x-4y=4

Step-by-step explanation:

college bridje

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:

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.

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:

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

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:

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:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

[tex]t_{1} =\frac{30}{v}[/tex]           ( [tex]time=\frac{distance}{speed}[/tex])

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

[tex]t_{2} =\frac{17}{v+2}[/tex]

now total time t spent by the bicyclist to cover entire trip is given by

[tex]t=t_{1} +t_{2}[/tex]

[tex]t=\frac{30}{v} +\frac{17}{v+2}[/tex]

now if v=18 , we have

[tex]t=\frac{30}{18} +\frac{17}{20}[/tex]

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

[tex]t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}[/tex][tex]t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}[/tex]

[tex]t=\frac{453}{180} =2.52[/tex] hours (approx)

Answer:

2 hours 31 minutes

Step-by-step explanation:

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)

Answer:

209  = v / 255

Step-by-step explanation:

209 is v divided by 255

The word is  means equals

209  = v / 255

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50

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:

Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11  USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign  -x=11-5 subtract the numbers -x=6 final answer is X=-6

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:

its 33 cm

Step-by-step explanation:

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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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.

Learn more about fractions here:

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Answer:

290 ans 4/5 miles

Step-by-step explanation:

174/24=7.25

7.25X40=290

Next problem

10/2=5

4/5

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...

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:

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 )

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:

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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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]

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:

(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.