The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers(help a sis out)

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

Answer:

28,000

Step-by-step explanation:

Answer:

28,000

Step-by-step explanation:

if u multiply 6,827 by 4 u get 27,303  and 208, 000 is way off so is 240, 000 24,000 is off by 3,303 and 28, 000 is off by 697. so it's 28,000.

The fractional form is 7/10.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

We have to divide 7 by 10.

The common factor for 7 and 10

7 = 7 x 1

and, 10= 2 x 5 x 1

so, there is only one factor common is 1.

Thus, the fraction is 7/10.

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Answer:

Step-by-step explanation:

Answer:

50000. easy

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

Answer:

-1,-2,-4

an = a1 * r^(n - 1)

a1 = first term = -1

r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

Answer:

c= -2

Step-by-step explanation:

Answer:

The scatter plot would closely resemble a straight line with a positive slope, but causation  cannot be determined.

Step-by-step explanation:

Recall that causation and correlation are 2 different things. Say Taller people usually had a name that started with the letter “A” It's a correlation, but a name does not determine the height, so it's not causation. (I took the test and got it right too.)

The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning would be imply about the football team winning at home.

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

It also is the slope of the line of best fit.

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win.

Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated.

The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

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Answers that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression

Answer: 100,000,000,000,000

Step-by-step explanation:

1.0 x 10^14

since the exponent is positive that means we move the decimal to the right 14 times and you should get 100000000000000.0

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

[tex]f(t)=a(r)^t[/tex]

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]

One year has 365 days.

Therefore, the amount remaining after one year will be:

[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

[tex]f(t)=Ce^{kt}[/tex]

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

[tex]255=510e^{38k}[/tex]

Solving for k:

[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]

Thus, our function is:

[tex]f(t)=510e^{t\ln(.5)/38}[/tex]

Then after one year or 365 days, the amount remaining will be about:

[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]

Answer:

ultiply by 2 and then add 2

Step-by-step explanation:

....hi

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

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Answer:

A

Step-by-step explanation:

Answer:

D: 11,046

Step-by-step explanation: i took the quiz

Answer:

radius =3cm

volume of the sphere =4/3 πr^3

=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7

=113.1cm^3

Answer:

none/0

Step-by-step explanation:

they ate all the cake.

now harry is gonna get sick

Answer:

79/79 or 1

Step-by-step explanation:

47+14+10+8=79

If Harry, Jack, Dave, and Mary all ate 79 slices in total, then there would be no more cake left since there are only 79 slices. The fraction answer would be 79/79 or 1, because they 79/79 is equivalent to 1.

Answer: -10-16i

Step-by-step explanation:

Given

(4-5i)-(12+11i)

Expand parenthesis

2-5i-12-11i

Put like terms together

(2-12)-(5i+11i)

Combine like terms

-10-16i

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9x

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x

Answer:

2 × 2 × 3 × 3 × 3

The total weight of the grain purchase is 5.5 tons when grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds.

To find the total weight of the grain purchase in tons, we need to convert the weight from pounds to tons and then sum them up.

Given the weights from the three suppliers:

Supplier 1: 3,200 pounds

Supplier 2: 7,200 pounds

Supplier 3: 600 pounds

To convert pounds to tons, we divide the weight in pounds by the conversion factor of 2,000 (since there are 2,000 pounds in a ton).

Supplier 1's weight in tons: 3,200 pounds / 2,000 = 1.6 tons

Supplier 2's weight in tons: 7,200 pounds / 2,000 = 3.6 tons

Supplier 3's weight in tons: 600 pounds / 2,000 = 0.3 tons

Now, we can calculate the total weight by summing up the weights from each supplier:

Total weight in tons: 1.6 tons + 3.6 tons + 0.3 tons = 5.5 tons

Therefore, the total weight of the grain purchase is 5.5 tons.

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Answer:

4 pencils

Step-by-step explanation:

Note=  pencils costing 0. 90p

Given data

Balance= £10

pen= 3*1.45= £4.35

pencils=0.90p

change= £2.05

2.05= 10-4.35-90p

solve for p

2.05= 5.65-90p

collect like terms

5.65-2.05= 0.90p

3.6=90p

divide both sides by 90

p=3.6/0.90

p=4

Answer:

3

Step-by-step explanation:

In expressions, there are 4 items to look at :

1. Terms

2. Coefficients

3. Like Terms

4. Constant Terms

Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.

This would mean numbers without a variable, look at the expression below :

7x + 3

Since 3 doesn't have a variable, therefore 3 is a constant term.

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

Answer:

2x(x+3)(x-3)

Step-by-step explanation: