7 (42 ÷ 3) + 4 (72 + 53) + 8 (-3) 4

Answer:

x ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ WXY

[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values

[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )

x sin107° = 10 sin33° ( divide both sides by sin107° )

x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )

Answer:

[tex]n = 65m[/tex]

Number of minutes is 80 minutes

Step-by-step explanation:

Given

The attached table

Calculating the number of copies the machine can make in a minute

Represent number of minutes with m and number of copies with n

First, we need to calculate the ratio of m to n

[tex]Ratio = \frac{n}{m}[/tex]

When m = 5; n = 325

[tex]Ratio = \frac{325}{5}[/tex]

[tex]Ratio = 65[/tex]

When m = 10; n = 650

[tex]Ratio = \frac{650}{10}[/tex]

[tex]Ratio = 65[/tex]

When m = 15; n = 975

[tex]Ratio = \frac{975}{15}[/tex]

[tex]Ratio = 65[/tex]

When we continue for other values of m and n, the ratio remains the same;

So; we make use of [tex]Ratio = \frac{n}{m}[/tex] to determine the relationship between m and n

Substitute 65 for Ratio

[tex]65 = \frac{n}{m}[/tex]

Multiply both sides by m

[tex]m * 65 = \frac{n}{m} * m[/tex]

[tex]65m = n[/tex]

[tex]n = 65m[/tex]

This implies that, you have to multiply the number of minutes by 65 to get the number of copies

Calculating the number of minutes to print 5200 copies;

In this case;

Ratio = 65 and n = 5200

So;

[tex]Ratio = \frac{n}{m}[/tex] becomes

[tex]65 = \frac{5200}{m}[/tex]

Multiply both sides by m

[tex]65 * m = \frac{5200}{m} * m[/tex]

[tex]65 * m = 5200[/tex]

Divide both sides by 65

[tex]\frac{65 * m}{65} = \frac{5200}{65}[/tex]

[tex]m = \frac{5200}{65}[/tex]

[tex]m = 80[/tex]

Hence; number of minutes is 80 minutes

Answer:

Step-by-step explanation:

[tex]D_f=D_g\quad\implies\quad (f-g)(x)=f(x)-g(x)\\\\\\(f-g)(x)=f(x)-g(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]

Answer:

Hey there!

The width is 3 inches, and in real life it would be 90 inches. (3x30)

The length is 5.5 inches, and in real life it would be 165 inches. (5.5x30)

90 inches is 7.5 feet

165 inches is 13.75

13.75 times 7.5 is 103.125, so rounded to the nearest integer, that would be 103 ft^2.

Hope this helps :)

Answer:

9% loss

Step-by-step explanation:

We first can find the amount of money the saree was sold for by multiplying its buy cost, 1,750, by 1.04 (adding 4% to 1)

[tex]1750 \cdot 10.4 = 1820[/tex]

Now, 1820 is definitely less than 2000, so we need to find the percent difference between 2000 and 1820. We can use the formula:

[tex]\frac{higher-lower}{higher} \cdot 100[/tex]

So,

[tex]\frac{2000-1820}{2000} \cdot 100[/tex]

[tex]\frac{180}{2000} \cdot 100[/tex]

[tex]0.09 \cdot 100[/tex]

9

So, the loss percent of this dress is 9%.

Hope this helped!

Answer:3.82

Step-by-step explanation: Find 80% of 4.50 (4.50 x 0.8=3.60) then find 6% of 3.6 (0.06 x 3.6= 0.216) add 0.216 + 3.6= 3.816 but in money you have to round so the answer is 3.82

Answer:

1.8

Step-by-step explanation:

$4.50-%20=3.6

3.6- %9=1.8

Answer:

61% is a reasonable choice

Step-by-step explanation:

The probability of a strike is 79% or 0.79

=> Independently, the probability of 2 consecutive strikes:

P = 0.79 x 0.79 = 0.6241 ~ 61%

Answer:

C. center: (7/2, -3/2); radius: sqrt(74)/2

Step-by-step explanation:

x^2 + y^2 - 7x + 3y - 4 = 0

We can put the equation in standard form by completing the square in x and in y.

x^2 - 7x + ___ + y^2 + 3y + ___ = 4 + ___ + ___

x^2 - 7x + (7/2)^2 + y^2 + 3y + (3/2)^2 = 4 + (7/2)^2 + (3/2)^2

(x - 7/2)^2 + (y + 3/2)^2 = 16/4 + 49/4 + 9/4

(x - 7/2)^2 + (y + 3/2)^2 = 74/4

(x - 7/2)^2 + (y + 3/2)^2 = (sqrt(74)/2)^2

Answer: center: (7/2, -3/2); radius: sqrt(74)/2

Answer:

[tex]\boxed{12}[/tex]

Step-by-step explanation:

When x = 3, y = 13

When x = 5, y = 37

Subtract both y-values to find the change:

37 - 13 = 24

Average of the change:

[tex]\frac{24}{2}[/tex] = 12

Answer:

15 ml

Step-by-step explanation:

We are told

Solution A = 15% of water

Solution B = 20% of water

Let's assume, the entire solution = 100ml

We are told that in the beaker we have 10 ml of Solution A already

Mathematically,

100 ml = 15%

10 ml = X

100ml × X = 15 × 10

X = 150/ 100

X = 1.5%

Hence in the beaker, we have 1.5% of water from Solution A

We are asked to find how many ml of solution B must be added to make the solution have 18% of water

Let y = number of ml of solution B

Hence

10 ml × 15%(0.15) = 1.5 ml of water - Equation 1

y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2

Add up the above equation

10ml + y ml ×18% (0.18) = 1.5 + 0.20y

(10 + y)(0.18) = 1.5 + 0.20y

1.8 + 0.18y = 1.5 + 0.20y

Collect like terms

1.8 - 1.5  = 0.20y - 0.18y

0.3 = 0.02y

y = 0.3/0.02

y = 15ml                              

Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water

Answer:

[tex]\boxed{\sf B. \ \sqrt{61} }[/tex]

Step-by-step explanation:

The line can be made into a hypotenuse of a right triangle.

Find the length of the base and the height of the right triangle.

The base (leg) is 6 units.

The height (leg) is 5 units.

Apply Pythagorean theorem.

[tex]\sf c=\sqrt{a^2 +b^2 }[/tex]

[tex]\sf c=\sqrt{6^2 +5^2 }[/tex]

[tex]\sf c=\sqrt{36+25 }[/tex]

[tex]c=\sqrt{61}[/tex]

Answer:

Option B is the correct option

Step-by-step explanation:

Assuming center of co-ordinate axes at lower left corner at the line. So end points are:

( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )

Distance between two points is given by formula:

D [tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } [/tex]

[tex] = \sqrt{ {6}^{2} + {5}^{2} } [/tex]

[tex] = \sqrt{36 + 25} [/tex]

[tex] = \sqrt{61} [/tex]

Hope this helps..

Best regards!!

Answer:

(B) 3/5

Step-by-step explanation:

In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

(A) 2/3

(B) 3/5

(C) 9/16

(D) 1/2

(E) 4/9

Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:

Circumference = 2 π r.   Where r is the radius of the circle.

The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5

Circumference of the bigger circle = 2 π (5) = 10π

The radius of the smaller circle = length of OA = 3

Circumference of the smaller circle = 2 π (3) = 6π

The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5

Step-by-step explanation:

I answered the first three in your next question :)

4) 2x + 15 = 37

Subtract 15

2x = 12

Divide by 2

x = 6

Ryan is 6 years old

5) A = 2/5(10)

A = 4

Andy is 4 years old

Hope it helps <3

Answer:

3 but not positive

Step-by-step explanation:

Answer:

5! i just did this question

Step-by-step explanation:

Answer:

D (8z-4)*(-7)

Step-by-step explanation:

Given:

-56z+28

D (8z-4)*(-7)

-56z+28

Therefore, option D is the equivalent expression

Finding the equivalent expression by solving each option and eliminating the wrong option

​A 1/2*(-28z+14)

=-28z+14/2

=-14z+7

B (-1.4z+0.7) /* 40

Two signs ( division and multiplication)

Using multiplication,we have

-56z+28

Using division, we have

0.035z + 0.0175

C (14-7z)*(-4)

-56+28z

D (8z-4)*(-7)

-56z+28

E -2(-28z-14)

56z+28

Answer:

B and D

trust me

Answer:

y  = ± 2sqrt(3)

Step-by-step explanation:

5y^2 - 60 = 0

Add 60 to each side

5y^2  = 60

Divide by 5

y^2 = 60/5

y^2 = 12

Take the square root of each side

sqrt( y^2) = ± sqrt(12)

y = ± sqrt(4*3)

y =  ±sqrt(4) sqrt(3)

y  = ± 2sqrt(3)

Answer:

Option D.

Step-by-step explanation:

Sten thinks of a number and gives his friends some clues about it.

"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."  

Number     Nearest ten   Nearest Hundred   Nearest thousand

A. 735,619      735,620          735,600               736,000

B. 423,006     423,010          423,000               423,000

C.958,598      958,600         958,600               959,000    

D.517,996       518,000          518,000                518,000

The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.

Therefore, the correct option is D.

Answer:

2143.57m^3

Step-by-step explanation:

since the equation for the volume of a sphere is

V=4/3πr^3

plug the radius, 8m into the equation in place of r

V=4/3π(8)^3

and from there multiply the rest so

V=2048(3.14)/3

V= 6430.72/3

V= 2143.57

Answer:

2143.60

OR 2143.57

EXACTLY OR 682.6 *PI (6 IS REPEATING)

Step-by-step explanation:

THE FORMULA FOR FINDING THE VOLUME OF A SPHERE IS 4/3*PI*R^3=V

SO IN THIS CASE

4/3* 3.14* 8^3=V

4/3*3.14*512=V

682.6(6 IS REPEATING)*3.14

IF U WANNA STOP NOW YOUR ANSWER WILL BE 682.6(6 IS REPEATING)*PI

IF U CONTINUE THEN

682.6(6 IS REPEATING)*3.14=V

2143.57=V

WHICH ROUNDED IS 2143.6=V

HOPE I HELPED

I SPENT 10 MINS TYPING THIS

CAN I PLS GET BRAINLIEST? (DESPERATELY TRYING TO LEVEL UP)

                             -ZYLYNN JADE

Answer:

x = 6.

Step-by-step explanation:

x - y = 4

x + y = 8

2x = 12

x = 6.

6 - y = 4

-y = -2

y = 2

6 + y = 8

y = 2

Hope this helps!

The solution to the system of equations is (6, 2).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are

x-y=4 ------(i)

x+y=8 ------(ii)

Subtract equation (ii) from equation (i), we get

x+y-(x-y)=8-4

x+y-x+y=4

2y=4

y=2

Substitute y=2 in equation (i), we get

x-2=4

x=6

So, the solution is (6, 2)

Therefore, the solution to the system of equations is (6, 2).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ7

Answer:

x=6

Step-by-step explanation:

2x - 5 = 7

Add 5 to each side

2x-5+5 = 7+5

2x= 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

x = 6.

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 6

Check your work!

2 * 6 - 5 = 7

12 - 5 = 7

7 = 7

Hope this helps!

Answer:

[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]

[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]

[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]

Step-by-step explanation:

We are given that The point (2, 3) is on the terminal side of angle Θ, in standard position

First Draw a vertical line from the point(2,3) to the x axis.

So, Length of vertical line is 3

The intersection of the line with the x axis is at x=2.

 So, now we have obtained a triangle with the horizontal side of length 2, the vertical side of length 3

To Find hypotenuse we will use Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2\\Hypotenuse^2=3^2+2^2\\Hypotenuse=\sqrt{9+4}\\Hypotenuse=\sqrt{13}[/tex]

[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]

[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]

[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]

Answer:

As the number of trials increases, experimental probability is closer to theoretical probability; as the number of trials increases, there is no change in the theoretical probabilities.

This is a bit hard to explain. I would recommend looking back at your  definitions/study guides to better understand this question.

A and D

Please mark brainiest

Answer:

[tex] t = 17.3 [/tex]

Step-by-step explanation:

Given ∆TUV,

m < T = 87°

TV = u = 11

TU = v = 14

UV = t = ?

Find t using the Law of Cosines.

[tex] t^2 = u^2 + v^2 - 2*u*v*cos(T) [/tex]

Plug in your values.

[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]

[tex] t^2 = 317 - 16.119 [/tex]

[tex] t^2 = 300.881 [/tex]

[tex] t = \sqrt{300.881} [/tex]

[tex] t = 17.3 [/tex] (to the nearest tenth)

Answer: The Third one is correct

Step-by-step explanation:

Answer:

Current Bond price = $1155.5116

Step-by-step explanation:

We are given;

Face value; F = $1,000

Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)

Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)

Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)

Formula for bond price is;

Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]

Plugging in the relevant values, we have;

Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]

Bond price = (36.5 × 18.2954) + (487.7295)

Bond price = $1155.5116

Answer:

Step-by-step explanation:

Given,

Perpendicular ( p ) = 3√2

Base ( b ) = 2√3

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

plug the values

[tex] {h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2} [/tex]

To raise a product to a power, raise each factor to that power

[tex] {h}^{2} = 9 \times 2 + 4 \times 3[/tex]

Multiply the numbers

[tex] {h}^{2} = 18 + 12[/tex]

Add the numbers

[tex] {h }^{2} = 30[/tex]

Take the square root of both sides of the equation

[tex]h = \sqrt{30} [/tex]

Hope this helps...

Best regards!!

[tex]\small\star\underline\bold\red{Given-}[/tex]

Sides of the right triangle

[tex]\small\star\underline\bold\red{To\:Find-}[/tex]

[tex]\small\star\underline\bold\red{Solution-}[/tex]

By Pythagoras Theorum ,

[tex]\small\fcolorbox{red}{white}{h² = b² + p² }[/tex]

[tex]\implies[/tex] h² = (2√3)² + (3√2)²

[tex]\implies[/tex] h² = 12 + 18

[tex]\implies[/tex] h² = 30

[tex]\implies[/tex] h = √30

Step-by-step explanation:

[tex] \sqrt{p} = \sqrt[r]{w - {as}^{2} } [/tex]

Find raise each side of the expression to the power of r

That's

we have

Send w to the left of the equation

Divide both sides by - a

We have

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer:

d. 200%

Step-by-step explanation:

( 800 ÷ 400 ) × 100