5x-4y=19
x+2y=8
solve the simaltaneous equation

Answer:

43.52 in.

Step-by-step explanation:

7 in. x 10.2 in. = 71.4 in.

4.1 in. x 6.8 in. = 27.88 in.

71.4 in. - 27.88 in. = 43.52 in.

Answer:

₹ 108

Step-by-step explanation:

Let the money Ali saved be x

As he spent 3/4 of x, part of money save is (1/4) of x

[tex]\frac{1}{4}*x = 36\\\\[/tex]

    x = 36*4

    x = ₹ 144

Price of toy = 144 - 36 =  ₹ 108

Ali saved Rs. 36. So, the saving of Ali is Rs. 36

Now he is spending some money for buying a toy car for him with his savings. He spent 3/4 of the saving for paying for the car.

So, Price of the car:

• 3/4 of the saving

Proceeding further mathematically,

➝ 3/4 × Rs. 36

➝ Rs. 108 / 4

➝ Rs. 27

Thus the price of the car is Rs. 27. And we are done...

Carry On Learning [tex]![/tex]

Answer: 214332.47

There is no need to explain you can just see the photo that I had displayed.

Caution:-

Calculated approximate values as we can't use ruler in screen !

As

#1

Sides are

Perimeter=20in=20(8)=160ft

#2

Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft

#3

Width:-

Answer:

[tex]144 \times \pi = 452.38[/tex]

Answer:

144π ft² or approximately 452.16 ft²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.

Approximation of Pi:

In terms of Pi:

Answer:

Profit % = 111.1 %

Step-by-step explanation:

Cost of glove = £4

Sales price of glove and skirt = £48

100% profits on the cost of the glove

20% profit on the total cost

Profit on the total cost = 20% = 0.20

Total cost + 0.20 total cost = Sale value

1.20 * total cost = 48

Total cost = 48 / 1.20

Total cost = 40

Cost of the skirt = Total cost - cost of the gloves

Cost of the skirt = 40 - 4

= 36

Price of the skirt = total value - price of the gloves

Total value = £48

100% of £4 = 100/100 * £4

= £4

Profits + cost of glove = $8

Amount remaining = £48 - £8

= £40

Profit percentage on the skirt = price of the skirt / cost of the skirt

= 40 / 36 * 100

= 1.1111 * 100

Profit % = 111.1 %

Answer:

- 20/21

Step-by-step explanation:

Calculate the product

5/6 x (-8/7)

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-5/6 x 8/7

Reduce the number with the greatest common factor 2

-5/3 x 4/7

Multiply the fractions

-20/21

Solution

-20/21

Alternate form

- 0.952380

Answer

Simplify the expression.

Exact Form:

−20/21

Decimal Form:

−0.952380

Step-by-step explanation:Please mark as brainliest!

I'm not sure if I'm right on this though

Answer:

m= [tex]-\frac{1}{3}[/tex]

Explanation:

Formula is Y=mx+b

m equals the slope (rise/run each point).

x stays for an ongoing function.

b is the y intersect(You'll see that the line crossed +4 on the vertical line).

Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.

[tex]y=-\frac{1}{3}x+4[/tex]

That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]

Answer:

r >3

Step-by-step explanation:

1 + 3r > 10

Subtract 1 from each side

1-1 + 3r > 10-1

3r > 9

Divide by 3

3r/3 > 9/3

r >3

The time needed to reach the amount of $21000 will be 36.5 years.

It is given that

Principle = $8600

Rate = 3.95%

Total amount = $21000

So the total interest will be = Amount -principle = 21000-8600=$12400

So by using the formula

[tex]SI = \dfrac{P\times R\times T}{100}[/tex]

Here p = principle

R= Rate of interest

T= time

SI= interest amount

Now putting the values

[tex]12400= \dfrac{8600\times3.95\times T\time}{100}[/tex]

[tex]T=\dfrac{12400\times100}{3.95\times8600}[/tex]

[tex]\rm T=36.5 \ years[/tex]

Thus the time needed to reach the amount of $21000 will be 36.5 years.

To know more about simple interests follow

https://brainly.com/question/2294792

Answer:

  7) 28.27 cm²

  8) 63.62 ft²

  9) 113.10 in²

Step-by-step explanation:

You want the areas of the circles with the given diameters.

The area formula for a circle is usually written in terms of the radius of the circle. Since the diameter is given, we can rewrite the formula to make use of the diameter:

  A = πr²

  A = π(d/2)² . . . . . . . use d/2 for r

  A = (π/4)d² . . . . . . . collect constants

7) Diameter = 6 cm; Area = (π/4)(6 cm)² = 9π cm² ≈ 28.27 cm²

8) Diameter = 9 ft; Area = (π/4)(9 ft)² = 20.25π ft² ≈ 63.62 ft²

9) Diameter = 12 in; Area = (π/4)(12 in)² = 36π in² ≈ 113.10 in²

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Answer:

440!!

Hope I helped! (and also if nobody said this today, remember that you´re loved) <33

Given:

The height h of an object after t seconds is

[tex]h=-16t^2+48t+210[/tex]

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

[tex]h=-16t^2+48t+210[/tex]

Here, t is the time in seconds.

For t=-2,

[tex]h=-16(2)^2+48(-2)+210[/tex]

[tex]h=-64-96+210[/tex]

[tex]h=50[/tex]

For t=5,

[tex]h=-16(5)^2+48(5)+210[/tex]

[tex]h=-400+240+210[/tex]

[tex]h=50[/tex]

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

850 students so those with no participation would be 12% of 850, which is also 0.12*850. Only one sport would be 0.42*850. Two sports would be 0.28*850. Three or more sports would be 0.18*850.

No participation: 102 students

Only one sport: 357 students

Two Sports: 238 students

Three of more sports: 153 students

Answer:

No Participation: 102 students

Only One Sport: 357 students

Two Sports: 238 students

Three or More Sports: 153 students

Step-by-step explanation:

The percentages represent parts of the total.

To calculate the number of students, we would need to take a percentage of the total.

So for the No Participation group, we would take 12% of 850. "Of" indicates that we would multiply the terms together.

To multiply a %, we first need to convert it to a decimal by moving the decimal point to the left two times.

The No Participation group would then be 0.12 × 850 which equals 102.

The 1 sport group would be 0.42 × 850 = 357

The 2 sport group would be 0.28 × 850 = 238

And the 3+ sport group would be 0.18 × 850 = 153

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.

The diagonals in a parralelogram bisect each other.

The diagonals in a rectangle are congruent.

[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]

[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]

Answer:

80

Step-by-step explanation:

since it is a parallelogram, you can multiply it easily. 8x5+40 40x2+80

Answer:

1

Step-by-step explanation:

all the other are less than -1 and since the rule is that x has to be greater than -1 its 1

Answer:

70x³ - 73x² - 155x + 168

Step-by-step explanation:

Given

(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL

= (10x² + x - 21)(7x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis

= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms

= 70x³ - 73x² - 155x + 168

Answer:

-4

Step-by-step explanation:

Answer:

9) 5.8

10) 27.9

11) 37.1

12) 16.8

Step-by-step explanation:

For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).

For 9, you have one side 15 and one angle 21 degrees.  We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"

We then evaluate tan21=x/15.

1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.

2) Use a calculator to get the answer 5.8 (5.7579..)

For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"

We then evaluate cos47=19/x.

1) To get rid of the fraction multiply x on both sides to get x*cos47=19.

2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21

3) Use a calculator to get the answer 27.9 (27.8593...)

For 11, refer to how I did question 9 on how it's tan68 = 15/x.

Then refer to question 10 on what to do if x is the denominator (isolate the x).

You should end up with x=15/tan68 which is 37.1 (37.1263...)

Finally for 12, it's the same but for sine (sin=opp/hyp).

You should get that the opp=15 and hypo=x.

That means sin63=15/x which is then x=15/sin63

Answer is 16.8 (16.834...)

Answer:

20.8

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3 from both sides of the equation:

x + 3 (-3) = 12 (-3)

x = 12 - 3

x = 9

x = 9 is your answer.

~

Answer:

  1/5³ = 1/125 = 5⁻³

Step-by-step explanation:

It can be useful to remember that an exponent signifies repeated multiplication.

  5^3 = 5×5×5

  5^6 = 5×5×5×5×5×5

Then the ratio is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5\times5\times5}{5\times5\times5\times5\times5\times5}=\dfrac{1}{5\times5\times5}=\boxed{\dfrac{1}{125}}[/tex]

__

If you want to leave this in terms of exponents, you can see that factors in the denominator cancel (subtract from) those in the numerator. That is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-3}}{5^{6-3}}=\dfrac{5^0}{5^3}=\boxed{\dfrac{1}{5^3}}[/tex]

The same sort of exponent arithmetic works to leave a numerator value with a negative exponent:

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-6}}{5^{6-6}}=\dfrac{5^{-3}}{5^0}=\dfrac{5^{-3}}{1}=\boxed{5^{-3}}[/tex]

_____

Additional comment

These ideas are formulated as the rules of exponents:

You always have to mutiply the week number by 1.5 to see how many pounds the dog has lost. For example, week 1 = 1*1.5 = 1.5 pounds lost in the first week. You can also divide the pound by 1.5 to get the week number which is what I will be doing. 58 - 40 = 18 pounds minimum to be healthy. 18/1.5 = 12. That means if Jasmin's dog is dieting properly for 12 weeks, she will be healty.    

If she diets more, she will still be healty because you need 40 or less pounds to be healty.

This sentance is extra but why are 0 pounds healthy?

Step-by-step explanation:

[tex] {x}^{2} + 8x = 0[/tex]

[tex] {x}^{2} + 8x + 16 = 16[/tex]

[tex](x + 4) {}^{2} - 16 = 0[/tex]

Answer:

13/5

Step-by-step explanation:

Multiplying 5 and 2 and adding to 3 will give u the new numerator

Answer:

13/5 or 2.6

Step-by-step explanation:

2 3/5

2×5=10

10 + 3= 13

Put it in top of your original denominator

13/5 or 2.6

Answer:

The answer is H.

SLOPE CAN BE FOUND BY:  Decrease(negative) and rise/run equation.

Y-INTERCEPT CAN BE FOUND BY: where the line touches the y-axis.

Answer:

30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30