-3x+3y=9 2x−7y=−14 ​

Least possible sum of missing digits is 3 that is 3 + 0 and missing numbers are 30

Solution:

Given that number 42,__2 rounded to the hundred place is 42300 .

Need to determine least possible sum of the two missing digits.

first lets see what all numbers can be rounded to 300  

number from 251 to 349 can be rounded to 300 as 251 is more close to 300 than 200 and 349 is closer to 300 than 400.  

But in our case at ones place we are having 2 , so possible numbers having 2 at ones place and in between  251 to 349 are 252 , 262 , 272 , 282 , 292 , 302 , 312 , 322 , 332  and 342.

but we are only concern numbers at hundred and tens place

so now we have 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 and 34.  

Out of this set we want numbers whose sum is least . So if you carefull observer that number is  30 having least sum as 3 + 0 = 3 .

So missing numbers in 42,__2 is 30 and number is 42,302.

Hence we can conclude that least possible sum of missing digits is 3 that is 3 + 0 and missing numbers are 30.

Answer:

(7i-1)/5

Step-by-step explanation:

(4+2i)/(1-3i)

the opposite of 1-3i is 1+3i

multiply that

[(4+2i)(1+3i)]/[(1-3i)(1+3i)]

=[(4+2i+12i+6i^2)]/[(1-3i+3i-9i^2)]

=[(4+14i+6(-1))]/[(1-9(-1))]

=(4+14i-6)/(1+9)

=(-2+14i)/10

factor out the 2,

[-2(1-7i)]/10

-(1-7i)/5

(-1+7i)/5

(7i-1)/5

Remember that i^2=-1, because sqrt(-1)*sqrt(-1)=-1.

Answer:

No. if the length is 24 units and the width is 11 units, the perimeter would be p=48+22=70

Step-by-step explanation:

w=11 and l=24

P=2l+2w

P=2(24)+2(11)

P=48+22

P=70

The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units; No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.

Its the sum of length of the sides used to made the given figure.

Given that the perimeter of a rectangle can be found using the equation P = 2L + 2W.

where P is the perimeter, L is the length, and W is the width of the rectangle.

Thus, w=11 and l=24

P=2l+2w

P=2(24)+2(11)

P=48+22

P=70

Hence, The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units;

No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.

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Answer:

Step-by-step explanation:

The slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).

Answer:

Information from dependent and independent variables.

Step-by-step explanation:

Information from dependent and independent variables and how they are related to each other. A relationship is linear only is every ordered pair is related by the same number, which is represented by the slope.

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

[tex]y =\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

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

We have to find the slope first

[tex]m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}[/tex]

Putting the value of slope

[tex]y = \frac{1}{2}x+b[/tex]

To find the value of b, putting (12,1) in the equation

[tex]1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5[/tex]

Putting the values of m and b

[tex]y =\frac{1}{2}x-5[/tex]

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

[tex]y =\frac{1}{2}x-5[/tex]

Keywords: Equation of line, slope-intercept form

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To write the equation in slope-intercept form, find the slope and y-intercept using the given points. The slope is 1/2, and the y-intercept is -5. The equation is y = (1/2)x - 5.

To write an equation in slope-intercept form, we need to find the slope (m) and the y-intercept (b). The slope can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the slope is (1 - (-2)) / (12 - 6) = 3/6 = 1/2.

Now, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we get y = (1/2)x + b.

To find the value of b, we can substitute the coordinates of one of the given points (6, -2) into the equation. -2 = (1/2)(6) + b. Solving for b, we get b = -2 - 3 = -5.

Therefore, the equation in slope-intercept form of the line that passes through (6, -2) and (12, 1) is y = (1/2)x - 5.

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Answer:

I think it's supposed to be 200-3=? from what it looks like... the answer would be 197 if that is the case.

Step-by-step explanation:

Answer:

3-200= -197

Step-by-step explanation:

you can use a calculator, but you can also subtract 200 by 3 which equals 197. then add a negative sign to the left of the number :

Answer:

64

Step-by-step explanation:

Multiply 2 by itself three times, which gives you 8. Multiply 8 by itself twice, which gives you 64.

Tawa will multiply her initial 2 rocks by 3 in the first year, giving her 6 rocks.

In the second year, she multiplies the 6 rocks by 2, which results in a total of 12 rocks after two years.

To solve how many rocks Tawa will have after two years, we follow two steps of exponential growth.

Initially, she has 2 rocks.

After the first year, her collection will increase by a power of three, which means we will multiply 2 by 3 to find the new total:

2 rocks × 3 = 6 rocks.

After the second year, the number of rocks is going to increase by a power of two.

We then take the new total from the first year and multiply it by 2:

6 rocks × 2 = 12 rocks.

So after increasing her collection by a power of three in the first year, and then by a power of two in the second year, Tawa will have a total of 12 rocks

Answer: 78m^2

Step-by-step explanation:

multiply coefficients and variables

m13 x m6 = 78m^2

Answer:

78m

Step-by-step explanation:

Since the variables are alike, you would just multiply them as you would do a normal multiplication problem! I used to have so much trouble with this omg. Anyway, 13x6=78 so the answer would be 78m

Answer:

12 days

Step-by-step explanation:

At the end of the first day he has the distance left to climb = 5,250 feet

He plans to climb the distance each day = 500 feet

Number of days to complete his trip = [tex]\frac{5,250}{500}[/tex]

                                                             = 10.5 ≈ 11 days

He has already climbed for one day, so he will finish his trip in 1 + 11  = 12 days.

By setting up a system of equations to represent the mixing of solutions and the amount of alcohol present, we find that Teresa uses approximately 80 milliliters of Solution B.

In the lab, Teresa is mixing two solutions, A and B, with Solution A used 4 times as much as Solution B. Solution A consists of 17% alcohol and Solution B consists of 12% alcohol. In the question, we know that the resulting mixture contains 560 milliliters of pure alcohol. To find out how many milliliters of Solution B we need, we can set up a system of equations based on the given situation:

From these two equations, we can solve for x, which represents the amount of Solution B. This gives us x ~= 80 milliliters. This means Teresa uses approximately 80 milliliters of Solution B.

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Final answer:

To find the volume of Solution B that Teresa uses, we set up an equation using the given alcohol percentages and the total alcohol volume in the mixture. Solving the equation, we find that Teresa uses 700 milliliters of Solution B.

Explanation:

To solve this problem, we can use the concept of proportions and weighted averages to determine the quantity of Solution B. Let's denote the volume of Solution B as VB and therefore, the volume of Solution A is 4VB because we are given that Teresa uses 4 times as much Solution A as Solution B.

According to the alcohol percentages, we can write the following equations:

Solution A (17% alcohol): 0.17 × 4VB

Solution B (12% alcohol): 0.12 × VB

The total volume of alcohol in the resulting mixture is 560 milliliters, which is the sum of alcohol from both solutions:
0.17 × 4VB + 0.12 × VB = 560

Combining like terms, we obtain a single equation:
0.68VB + 0.12VB = 560

This simplifies to:
0.80VB = 560

Now, solving for VB:
VB = 560 / 0.80

After calculating, we get:
VB = 700 milliliters

Hence, Teresa uses 700 milliliters of Solution B.

The commission that the salesperson earns on the sale is $1320

The commission would be double when he doubles his sales of furnaces

Step-by-step explanation:

The given is:

We need to find the commission that the salesperson earns

∵ The salesperson earns 4% commission on furnaces sale

∵ The furnaces sale have worth $33,000

- Find the 4% of 33,000

∴ The salesperson earns 4% of 33,000

∵ 4% × 33,000 = [tex]\frac{4}{100}[/tex] × 33,000 = 1320

∴ The salesperson earns $1320

The commission that the salesperson earns on the sale is $1320

∵ The salesperson doubles his sales of furnaces

∴ The commission would be double

That because the commission is a constant percent from his sales of furnaces, so if the amount of his sales of furnaces doubles , then his commission also doubles, it is a direct proportion relationship

Commission = constant (4%) × amount of furnaces sale

The commission would be double when he doubles his sales of furnaces

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Answer:

2

Step-by-step explanation:

If 15 dollars is what she has. you take 6 for one plant away from that 15 to become 9. Then she can buy one more. 2 plants now for 12 dollars. since she only has 3 left, she can't buy another.

Answer:

the answer to your qestoin is 2

Answer:

1/400

Step-by-step explanation:

i put it in the calculator and got 1/400

Answer:

I believe it's 1/400 or 0.0025

Answer:

2.25

Step-by-step explanation:

5*.45=2.25

Answer:

The value of y is  [tex]\frac{5}{26}[/tex]  .

Step-by-step explanation:

Given expression as :

6 y - [tex]\frac{10}{5}[/tex] + 7 y =  [tex]\frac{1}{2}[/tex]

or, 6 y - 2 + 7 y =   [tex]\frac{1}{2}[/tex]

Or, 13 y = [tex]\frac{1}{2}[/tex] + 2

Or, 13 y =  [tex]\frac{5}{2}[/tex]

So, y =  [tex]\frac{5}{2\times 13}[/tex]

Or, y =   [tex]\frac{5}{26}[/tex]

Hence the value of y is  [tex]\frac{5}{26}[/tex]  . Answer

Answer:

4. The relationship is proportional because, for every 12 students, there is one chaperone and when you multiply 12 by the number of chaperones you get the same numbers that the table shows.

1. the relationship is proportional.

45/1= 45

45/2 = 90

45/3 = 135

45/3 = 180

2. the constant of 2 is 10. the constant of 3 is 2.

the relationship between x and y is that x divided by y equals the constant.

4. x divided by y equals the constant, or

x÷y=c(constant)

hope that helps and sorry for taking so long

Answer:

resistance is 1.5 ohms (1.5 Ω)

Step-by-step explanation:

R varies directly with l

R varies inversely with [tex]d^2[/tex]

We can set-up a proportionality statement as shown below:

[tex]R=k\frac{l}{d^2}[/tex]

Now, Given,

R = 1.50

l = 2

d = 1.5

We substitute and find k (the proportionality constant):

[tex]R=k\frac{l}{d^2}\\1.5=k\frac{2}{1.5^2}\\1.5=\frac{2k}{2.25}\\2k=1.5*2.25\\2k=3.375\\k=1.6875[/tex]

Now, we will use this value of k to solve the problem.

Given,

l = 8

d = 3

and

k = 1.6875

We find R:

[tex]R=k\frac{l}{d^2}\\R=1.6875\frac{8}{3^2}\\R=\frac{1.6875*8}{9}\\R=1.5[/tex]

The resistance is 1.5 ohms (1.5 Ω)

Answer:

any number less than 15 will work n<15

Step-by-step explanation:

I divided the 6n so I could do 90/6 then equals 15=n so if I do 6 times 15 it would be 90 so that would no be true 90<90 so that means n has to be less than 15

n<15

Answer:

Hahahahahaha how we Answer without any options

Answer: a, c, and d

Step-by-step explanation:
for anybody that needs it now ^^

it says the total number of all the desks from all classrooms and schools
a. 2 x (12 x 35) + 15 x 20) -- correct

b. 2 x (12 + 12 + 15) -- incorrect

c. (2 x 12) x 25 + 15 x 20 -- correct

d. 15 x 20 + (2 x 12) x 25 -- incorrect

why is b incorrect?
b says 2 times 12 + 12 + 15 --- 2 x (12 + 12 + 15) only shows two times the number of classrooms -- not the total number of desks from each classroom in each school (i cant english im sorry)

Answer: $12.50

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

To find the median of these numbers, let's start by writing our data set from least to greatest.

$9.84, $11.75, $12.50, $12.98, $13.88

So the median will be the middle number or $12.50.

The median is the middle number of a data set.

$9.84, $11.75, $12.50, $12.98, $13.88

If their isn't a perfect middle number then you take 2 middle numbers and find the number that is between them.

________

Best Regards,

Wolfyy :)

Answer:

2(3+2x)

Step-by-step explanation:

Answer:

(X + 2)^2

Step-by-step explanation:

Factor using the perfect square rule

Hope this helps.

PLEASE, consider brainliest. I only have one left and then my rank will go up.

Answer:

4/7= 12/21- mutiply the fraction by 3

(4)(3)/(7/(3)= 12/21

4/7= 16/28 - mutiply by 4

4/7= 20/35- mutiply by 5

Equivalent ratios are those that when reduced yield the same value. Any ratios that when reduced become 4/7 are equivalent to the ratio 4 to 7. An example is 8 to 14.

In mathematics, two ratios are equivalent if the fractions they represent are equal. For your question, you are asked to find all ratios that are equivalent to the ratio 4 to 7. Essentially, you need to find ratios where when reduced will become 4/7 or we can upscale the values while maintaining proportions. For instance, if we multiply both numbers in the ratio 4 to 7 by 2, we get the ratio 8 to 14. These two ratios are equivalent because 4/7 = 8/14.

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Answer:

11.x>50

12.y is greater than or equal to 8

15. z<8

Step-by-step explanation:

Answer:

Y=10

Step-by-step explanation:

Answer: y

=

−

6

Hopefully this helps!

Answer:

143.1818

Step-by-step explanation:

Answer:

14 pounds of each type should be used to make a 28 pounds blend that sells for $16 per pound.

Step-by-step explanation:

The Roasted Bean charges $17 per pound for Fair Trade Organic Mexican coffee and $15 per pound for Fair Trade Organic Peruvian coffee.

Let x pounds of Mexican coffee and y pounds of Peruvian coffee are mixed to prepare a 28 pounds blend that sells for $16 per pound.

So, x + y = 28 ........... (1)

Again, [tex]\frac{17x + 15y}{x + y} = 16[/tex]

⇒ 17x + 15y = 16x + 16y

⇒ x = y .......... (2)

Now, from equation (1) we have 2x = 28

⇒ x = 14 pounds  

And y = 14 pounds. (Answer)

Answer:

[tex] - 2x + 4 < x + 5 \\ - 2x - x < 5 + 4 \\ - 3x < 9 \\ x = - 3[/tex]

hope this helps you

After solving the inequality, the value obtained will be equal to x < 9.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given information in the question,

The given statement is,

Twice, the difference between a number and 4 is less than the sum of the number and five.

In mathematical form, it can be written as:

Let the unknown number be x.

2x - 4 < x + 5

Let's solve the equation for x.

2x - x < 5 + 4

x < 9

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Answer:

Megan is 14

Step-by-step explanation:

Megan is M

Molly is Mo

Mo = 8

M = x

6 + mo = x

6 + 8 = 14

If Molly is 8 years old and there is a 6-year age gap between her and Megan, then Megan must be 6 years older than Molly.

Therefore, Megan is 8 + 6 = 14 years old.

This age gap of 6 years means that Megan was born 6 years before Molly.

Age gaps are calculated by subtracting the younger person's age from the older person's age.

It's important to note that Megan is the older of the two, and the age difference remains constant as they both get older.

Understanding age differences is essential in various contexts, from family dynamics to social relationships and legal matters.

In this case, it's a straightforward calculation, but age gaps can have significant implications in more complex situations, such as legal age requirements, generational differences, and even compatibility in personal relationships.

In this instance, Megan is 6 years older than Molly, and that age gap will remain consistent as they both grow older.

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