Limits do not give the y-value AT the given x; rather they give what y-values the function is __________ AROUND the given x

Answer: smaller number = 5, bigger number = 8

Step-by-step explanation:

Let x represent the smaller number

and y represent the bigger number.

The sum of 2 times the smaller number and 3 times the bigger number is 34.

EQ1: 2x + 3y = 34

Two times the bigger number is subtracted from 5 times the smaller number is 9.

EQ2: 5x - 2y = 9

Solve the system of equations using the Elimination method:

EQ1: 2x + 3y = 34      →   2(2x + 3y = 34)     →   4x + 6y = 68

EQ2: 5x - 2y = 9       →    3(5x - 2y = 9 )      →   15x - 6y = 27

                                                                         19x         = 95

                                                                      ÷19            ÷19

                                                                                  x =  5

Substitute x = 5 into either equation to solve for y:

EQ2: 5x - 2y = 9

      5(5) - 2y = 9

        25 - 2y = 9

              -2y = -16  

                  y =  8

The smaller number (x) is 5 and the bigger number (y) is 8.

[tex] \huge\fbox { \: smaller \: no. = 5}\ \\ \huge\fbox { \: bigger \: no. = 8} \: [/tex]

Here,We'll assume the smaller no. as x & the bigger one as y

Now,

ATQ,

(sum of two times the smaller number and three times the bigger number is 34.)

(Two times the bigger number is subtracted from the five times the smaller one)

Now,

we'll apply the elimination method to find The value of the variables↷

Here,

Let's equalize the variable ,'x'

[tex]To \: equalize \: the \: variable,[/tex]

[tex]We \: need \: to \: multiply \: the \: first \: equation \\ \: by \: 5 \: and \: the \: second \: one \: by \: 2↴ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]5(2x + 3y = 34) \\ \: \: \: = > 10x + 15y = 170......(3) \\ \\ 2(5x - 2y = 9) \\ = > 10x - 4y = 18 ......(4)\\ \\ [/tex]

Since Now our variable'x' is equalize in Both of the equations (10x),

We'll subtract the Equation 4 From Equation 3rd so that we can find out the Value of y

[tex] \: \: \: \: \: \: \: 10x + 15y = 170 \\ \: \ - 10x - 4y = 18 \\ \: \: - - - - - - - - \\ 0 + 19y = 152 \\ \: \: \: - - - - - - - - \\ 19y = 152 \\ \frac{19y}{19} = \frac{152}{19} \\ \huge\fbox{y = 8} [/tex]

Now,

By plugging the Value of y in any of the equation,we can find the Value of x.

Here,

We'll plug the value of y into the equation 2↴

[tex]5x - 2(8) = 9 \\ 5x - 16 = 9 \\ 5x - 16 + 16 = 9 + 16 \\ 5x = 25 \\ \frac{5x}{5} = \frac{25}{5} \\ \huge\fbox{x = 5} [/tex]

Hence, the Value of the smaller number = 5

and the value of the bigger one = 8

[tex] \small\mid{ \underline{ \overline{ \tt \: －ɪƭ'ꜱ \: ʙᴙᴜᴛᴀʟ \: σʋʇ \: ɦэŗǝ~}} \mid} [/tex]

Answer: 8 I’m order to meet goal

Step-by-step explanation: 25-9=16 16-8=8

As P varies directly as the product of I and V it is P = KVT

Proportions are of two types one is the direct proportion in which if a constant k increases one quantity the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if a constant k increases one quantity the quantity will decrease by the same constant k and vice versa.

Given, P varies directly as the product of I and V, therefore if P increases

V or I or V and I will also increase.

We can write this direct proportionality as,

P ∝ VI.

Now to remove the proportionality sign we'll use a constant factor K and an equality sign,

P = KVT.

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Answer: The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list. Your welcome <3

Answer:

The midpoint is (4, 3).

Step-by-step explanation:

to get the midpoint (x1+x2/2, y1+y2/2)

(0+8/2, 0+6/2)

(4, 3)

Answer:

[tex]y = 5x + 3[/tex]  

I hope this helps!

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

[tex]Area=\pi r^2/2[/tex]

[tex]Area=\pi (3)^2/2=9\pi /2[/tex]

The area of a rectangle is the length multiplied by the width:

[tex]Area=l*w[/tex]

[tex]Area=6*9=54[/tex]

The net area is the sum of the rectangle and the semi-circle:

[tex]Area=(9\pi /2)+(54)=68.1[/tex]

For rectangle

Area:-

For semicircle

Area:

Total:-

Answer:

2,5,5,5

Step-by-step explanation:

50×5=2×5×5×5

Answer:

The area is 5x

Step-by-step explanation:

1) a = lw (starter equation)

2) a= 5x (substiute x in for the width, and 5 in for the length)

Answer:

5x^2

Step-by-step explanation:

[tex]Solution \\

Here \\ \hookrightarrow \: length(l) = x \: units \\ \hookrightarrow \: breadth(b) = 5 \: units \\\hookrightarrow \: area = l \times b \\ \hookrightarrow \: area = x \: units \times 5 \: units \\ \hookrightarrow \: area = 5 {x}^{2} [/tex]

Answer:

70

Step-by-step explanation:

From the question given above, the following data were obtained:

TU = 8x + 11

UV = 12x – 1

Next, we shall determine the value of x.

From the question:

U is the midpoint. This means that TU and UV are equal i.e

TU = UV

With the above idea in mind, we shall determine the value of x as follow:

TU = UV

TU = 8x + 11

UV = 12x – 1

8x + 11 = 12x – 1

Collect like terms

11 + 1 = 12x – 8x

12 = 4x

Divide both side by the coefficient of x i.e 4

x = 12/4

x = 3

Next, we shall determine the length of TU and UV. This can be obtained as follow:

TU = 8x + 11

x = 3

TU = 8(3) + 11

TU = 24 + 11

TU = 35

UV = 12x – 1

x = 3

UV = 12(3) – 1

UV = 36 – 1

UV = 35

Finally we shall determine the length of TV. This can be obtained as follow:

TV = TU + UV

TU = 35

UV = 35

TV = 35 + 35

TV = 70

Therefore, the distance between my house and grandma's house is 70.

NOTE: Assume the distance is measured in kilometer (km)

This means that I will travel 70 km from grandma's house to my house.

Answer: equal to

Step-by-step explanation:

If c is zero and b+c=a then b would equal a

Answer:

Step-by-step explanation:

alr so you have to mutiply the ngitive 19 after u get the answer of 2 times negitive fiveafter you get tHATt u will have ur answer as long as you follow my steps u got that.

Answer: A ) -19/2 , -5

Step-by-step explanation:

Using an exponential function, it is found that the value of Yong's investment account after 7 years is given by:

(C) $2363

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Her account was worth $2000 initially, and it increases by 10%, percent every 4 years, hence, it is modeled by:

[tex]y(t) = 2000(1.1)^{\frac{t}{4}}[/tex]

After 7 years, the amount is:

[tex]y(7) = 2000(1.1)^{\frac{7}{4}} = 2363[/tex]

Hence option C is correct.

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discount = 1/5

so after the discount we will pay 4/5 of the shirt

The height of the prism that's depicted in the water tank will be 8m.

The area of the base of the triangular prism will be calculated thus:

= 1/2 × 4 × 9

= 18m²

The volume of water removed from the rectangular tank will be:

= (6 × 6) × 4

= 144m³

Therefore, the height will be calculated thus:

18 × h = 144

18h = 144

h = 144/18

h = 8m

Therefore, the height is 8m.

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Answer:

660g

Step-by-step explanation:

take bean can as b and soup can as c

3b+5c=700

4b=300 therefore b=75

3b+5c=700 is 3(75)+5c=700

225+5c=700

5c=475

c=95

5×75+3×95

660

Answer:

The value of the car will be $2,363.19 after 14 years

Step-by-step explanation:

The rule of depreciating is  

[tex]A=p(1-r)^{t}[/tex] , where

∵ A new car is purchased for 18000 dollars

∴ P = 18,000  

∵ It depreciates at a rate of 13.5% per year

∴ r = 13.5% = 13.5/100 = 0.135  

∵ We need to find how much it will be worth after 14 years

∴ t = 14

→ Substitute all of these values in the rule above to find A  

∵  [tex]A=18000(1-0.135)^{14}[/tex]

→ Use your calculator to find the answer  

∴ A = 2,363.186569

→ Round it to the nearest cent (2d.p.)

∴ A = 2,363.19

∴ The value of the car will be $2,363.19 after 14 years.

Answer:

Step-by-step explanation:

Isosceles Obtuse.

It is obtuse because the largest angle is over 90.

It is Isosceles because the two base angles are equal.

If you get it wrong, it is because the question assumes that the two base angles are acute (which they are) but for this question I think you are referring to the lone angle at the top.

Answer:

(-3,-6)

Step-by-step explanation:

y=7x+15

y=2x

2x=7x+15

-5x=15

x=-3

y=-6

Explanation:

The diameter of the semicircle is 6 inches, which divides in half to the radius of r = 3 inches.

Add the two sub-areas to get the total area.

14.13 + 21 = 35.13 square inches

This answer is approximate since pi = 3.14 is approximate.

The value of sin c is 7/7.6.

The three sides of the right triangle is calculated as follows;

tan a = opposite / adjacent side

Length BC = opposite side = 3

Length AB = adjacent side =  7

The hypotenuse side of the right triangle is calculated as follows;

AC² = 3² + 7²

AC = √(3² + 7²)

AC = 7.6

Sin c = |AB| / AC

sin c = 7/7.6

sin c = 0.92

Thus, the value of sin c is 7/7.6.

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The Margin of error is 0.3 when assuming a 90% confidence level.

It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.

It is required to find the margin of error when the confidence level is 90%.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE= Z_{score}\times\frac{s}{\sqrt{n}}[/tex]

Where  [tex]\rm Z_{score}[/tex] is the z score at the confidence interval

             s is the standard deviation

             n is the number of samples.

We have in the question:

[tex]\rm Z_{score}[/tex] at 90% confidence interval = 1.645 (From the Z score table)

s = 2.9

n = 320

Put the above values in the formula, we get:

[tex]\rm MOE= 1.645\times\frac{2.9}{\sqrt{320}}[/tex]

MOE = 0.2666

Rounding the nearest tenth:

MOE = 0.3

Thus, The Margin of error is 0.3 when assuming a 90% confidence level.

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Answer:

0.3

Step-by-step explanation:

edg

Step-by-step explanation:

This is the correct answer Step-by-step

I hope you understand...

Answer:

(a) 1800m

(b) 1540

Step-by-step explanation:

(a)

1km = 1000m

1.8km = ?

1.8 x 1000 = 1800m

(b)

Benjamin Sheares Bridge is 1.8km = 1800m (in meters)

Esplanade Bridge is 260m

difference in length in meters = 1800m - 260m = 1540m

Hope it helps

Answer:

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

Answer:

294mm

Step-by-step explanation:

The surface area of each side is 7mm x 7mm. 7•7 = 49

There are 6 sides on a cube, so just multiply 49 times 6.

49•6= 294 mm

If [m] represents the greatest possible length of line segment AD, and [p] represents the least possible length of line segment AD, than the value of [m - p] will be 2.84.

        where : [m] → is slope of line and [c] → is the y - intercept

We have in a plane, the lengths of line segments AB, BC, and CD are 3, 5, and 1.

Using the Pythagoras theorem, the length of side AC will be -

AC² = AB² + BC²

AC² = 9 + 25

AC² = 34

AC = √34

Also, we can write, the sum of two sides of a triangle is greater than the third side. So, in triangle ACD, we can write -

1 + √34 > AD

AD + √34 > 1

AD + 1 > √34

AD[min] = √34 - 1 = 4.84

AD[max] = √34 + 1 = 6.84

So -

m - p = 2.84

Therefore, if [m] represents the greatest possible length of line segment AD, and [p] represents the least possible length of line segment AD, than the value of [m - p] will be 2.84.

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The equivalent of the given expression -8.2-5 is -13.2.

It is a sentence with a minimum of two numbers or variables and at least one math operation.

The given expression is -8.2-5.

Its simplified value is -13.2.

Hence, the equivalent expression is negative 13.2.

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