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Answer:

x=12

Step-by-step explanation:

[tex]-\frac{7x}{10} =-\frac{42}{5}[/tex]      multiply both sides by -10 as the first step to get x by itself

[tex]7x =84[/tex].        divide both sides by 7

x = 12

The amount each boy receives from the R2100 is R420, R700 and R980 respectively

Total amount = R2100

Ratio = 3 : 5 : 7

Total ratio = 3 + 5 + 7

= 15

First boy = 3/15 × 2100

= 0.2 × 2100

= R420

Second boy = 5/15 × 2100

= 0.33333333333333 × 2100

= R700

Third boy = 7/15 × 2100

= 0.46666666666666 × 2100

= R980

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Answer:

volume is 1570 cm³

mass is 12560 g

Step-by-step explanation:

1m = 100 cm

the volume is :

1/4 x [tex]\pi[/tex] x 6² x 100 - 1/4 x [tex]\pi[/tex] x 4² x 100

= 900 [tex]\pi[/tex] - 400 [tex]\pi[/tex]              { v = 1/4 [tex]\pi[/tex] d²h }

= 500 [tex]\pi[/tex]

= 500 x 3.14

= 1570 cm³

the mass of the pipe is:

1570 x 8 = 12560 grams

Answer:

year, subtract that amount from the 230,000 gallons of seasonal water use. 230,000 gallons – 150,000 gallons = 80,000 gallons use for irrigation per year .

Step-by-step explanation:

I took the test

Answer:

Yes that's some of the digits

Step-by-step explanation:

You can round up pi to 3.14.

Actual digits of pi: 3.141592653589793238462...that's all I can memorize.

mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. The number appears in many formulas in all areas of mathematics and physics.

Answer: no its not 3.1415

Step-by-step explanation:

Answer: 10 feet post-1.167 ft shadow

119 feet shadow

Step-by-step explanation: brainliest pls

Answer:

a) 15.625 cm²

b) 8 cm²

c) 50 cm²

d) 12 cm²

Step-by-step explanation:

a) area of a parallelogram = base x height

⇒ area of yellow shape = 1/2 x base x height

                                        = 1/2 x 12.5 x 2.5

                                        = 15.625 cm²

b) area of triangle = 1/2 x base x height

                              = 1/2 x 2 x 8

                              = 8 cm²

c) area of a parallelogram = base x height

area yellow parallelogram = (10 x 6) - (5 x 2) = 50 cm²

d) area of a parallelogram = base x height

⇒ area of a 1/2 parallelogram = 1/2 x base x height

⇒ area yellow shape = 1/2 x 12 x 2 = 12 cm²

Answer:

d step 4

Step-by-step explanation:

hope it helps you on what u are doing

Answer:

x = 2

Step-by-step explanation:

180= 90 + 57 + Z

Z = 180 - 90 - 57

Z = 33

33 = 7X + 19

7X = 33 - 19

7X = 14

X = 2

Answer:

the answer is just 7/9

Answer:

382 x m= 249 divided by 110

Step-by-step explanation:

:)

Answer:

249= 382m-110

Step-by-step explanation:

Answer:

x=3×3

Step-by-step explanation:

ok it's fine if you don't mind

To find the equation, First step is to find the slope which we can use in the formula and then we will find the equation using the specific formula...

[tex] \boxed{ \sf \:m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} }[/tex]

[tex] \tt \to \: m = \frac{ - 2-( - 5)}{ - 8 -(- 4)} [/tex]

[tex] \tt \to \: m = \frac{ -2+5}{ -8+4} [/tex]

[tex] \tt \to \: m = - \frac{3}{4} [/tex]

[tex] \boxed{ \sf \:y - y_{1} = m(x - x_{1}) }[/tex]

[tex] \tt \nrightarrow \: y - ( - 5) = - \frac{3}{4} (x - ( - 4))[/tex]

[tex] \tt \nrightarrow \: y + 5 = - \frac{3}{4} (x + 4)[/tex]

[tex] \tt \nrightarrow \: y + 5 = - \frac{3}{4} x - 3[/tex]

[tex] \tt \nrightarrow \: y = - \frac{3}{4} x - 3 - 5[/tex]

[tex] \bf\nrightarrow \: y = - \frac{3}{4} x - 8[/tex]

The solution is, The equation the line is,  y = -3x/4 -8

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have

two points (-4, -5) and (-8, -2)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+5)/(x+4)=(-2+5)/(-8+4)

=>(y+5)/(x+4)= 3/ -4

=>-4y - 20 = 3x +12

=> -4y = 3x + 32

=> y = -3x/4 -8

Hence, the required equation is,   y = -3x/4 -8

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Answer:

A B and C are correct

Step-by-step explanation:

4 yards = 12 feet = 12x12 = 144 inches

A is correct since 15 feet > 12 feet

B is correct since 150 inches > 144 inches

C is correct since 3 yards + 4 feet = 4 yards and 1 foot > 4 yards

D  is incorrect since 3 feet + 15 inches is 4 feet and 3 inches < 12 feet

E is incorrect since 10 feet + 11 inches < 12 feet

Answer: Answer:[tex]x = 49.8^\circ\\y = 54.6^\circ[/tex]Step-by-step explanation: Kindly refer to the image attached in the answer region for labeling of triangle.

Step-by-step explanation: u multiply the numbers

Answer:

Above your sheet, they give you formulas for the rectangular prism.

Method one;

V = L x W x H

Where "L" is length, "W" is width, and "H" is height.

Method 2;

V = B x H

Where "B" is the area of the base, and "H" is the height.

Now let's apply these formula to your questions:-

(Using method 2 for most of these problems)

1. If we look for the area of the base, we can see that 2 is the width and 4 is the length, so we would need to multiply those two to get the area of the base (2 x 4) = 8.

Now the height is 3.

So we plug this into our formula,

V = B x H

V = 8 x 3

V = 24 cubic feet

2. If we look at this question, we can see that this is a cube, meaning that all lengths are the same. To make this easier, we can use method 1 and just multiply the given lengths;

V = L x W x H

V = 4 x 4 x 4

V = 64 cubic inches

3. If we look for the area of the base, we can see that 5 is the width and the length is 20, so we would need to multiply those two to get the area of the base (5 x 20) = 100.

The height is 5.

So we plug this into our formula;

V = B x H

V = 100 x 5

V = 500 cubic yards

4) If we look for the area of the base, we can see that 3.2, if i'm correct, is the width and 5.4 is the length, so we would need to multiply those two to get the area of the base (3.2 x 5.4) = 17.28.

The height is 1.9.

So we plug this into our formula;

V = B x H

V = 17.28 x 1.9

V = 32.832, 32.83 cubic centimeters

The function which represents the reflection of provided function across the x-axis is,

[tex]g(x) = -5(0. 8)x[/tex]

The reflection of a function is flipping the original function with respect to a reference line.

The following steps used to for reflecting a the function-

The function given in the problem is,

[tex]f(x) = 5(0. 8)x[/tex]

The function has the positive sign. Therefore, this function is located in the first quadrant.Now this function is reflected across the x-axis. This will lead this function in the fourth quadrant, with negative sign.

Therefore, the function become,

[tex]g(x) = -5(0. 8)x[/tex]

Hence, the function which represents the reflection of provided function across the x-axis is,

[tex]g(x) = -5(0. 8)x[/tex]

Learn more about the reflection here;

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[tex]Dear[/tex] [tex]friend,[/tex]

Aren't you so excited? This fall is when we get into HIGH-SCHOOL! But I have a problem. I need to know what I should wear for the first day! And my hair! Do you have any advice for me, friend? Can you send this letter back with advice, please? Thank you very, very much!

[tex]Sincerely,[/tex]

[tex]Jane[/tex]

Answer:

33

Step-by-step explanation:

Alright, so, let's break it down.

We know that d = negative 6 (-6)

Lets start with -5d.

Since d = -6, we have to do -5 × -6, which is 30.

So, now, we are using fractions. -6 plus 15.

(Which is, negative 6 plus 15)

That is 9. Since we are adding a negative number to a positive number, it will be the same way as 15 minus 6.

Now, we know that we are using division (due to the fraction line, we know that we are using division). Let's divide 9 into 3. That's 3, because 3 times 3 is also 9. Now, if we add 30 plus 3, we get 33, Therefore, the answer is 33.

Answer:

33

Step-by-step explanation:

-5(-6) + (-6) + 15/3

30 + -6 + 15/3

30 + 9/3

30 + 3

33

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

Answer:

x = 8

Step-by-step explanation:

Because the figure in the circle is a square, which has the property of possessing equal sides.

Therefore, the value of x is equal to 0.

The values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.

The Inverse of the logarithmic function is an exponential function.

The given logarithmic function is,

[tex]f(x) = \log_{0. 5}x[/tex]

The inverse of the given logarithmic function is,

[tex]f^{-1}(x) = 0.5^x.[/tex]

Put the value of x as -1 from the table attached below, to find the value of a.

[tex]f^{-1}(-1) = 0.5^{(-1)}\\f^{-1}(-1) = 2[/tex]

Similarly, put the value of x as 0 from the table attached below, to find the value of b.

[tex]f^{-1}(0) = 0.5^{(0)}\\f^{-1}(0) = 1[/tex]

Now, put the value of x as 2 from the table attached below, to find the value of c.

[tex]f^{-1}(2) = 0.5^{(2)}\\f^{-1}(2) = -2[/tex]

Thus, the values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.

Learn more about the inverse of the logarithmic function here;

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Answer:

1. Over three, up three
2. Over two, up one

Step-by-step explanation:

Given the following question:

Point A = (3, 3)
Point B = (2, 1)

To find the answer, please understand where the x and y axis is located. Remember that the x is the line intersecting the y axis.

So, in order to plot point A and B, we have to remember that the first value represents x, and the second represents the y value.

(3, 3) = (x, y)
(2, 1) = (x, y)

For the first point we will move over three on the x axis, and then up three on the y axis.

For the second point we will move over two on the x axis, and then up 1 on the y axis.

Hope this helps.

Answer:

Since  

4

4x

​

 and  

4

n

​

 have the same denominator, add them by adding their numerators.

Step-by-step explanation:

The factors of the polynomial are [tex]\rm (x^2+5)(3x^2-2)[/tex].

These factors can be numbers, variables, or an algebraic expression.

Given

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.

The factors of the polynomial are;

[tex]\rm 3x^4-2x^2+15x^2-10\\\\x^2(3x^2-2)+5(3x^2-2)\\\\(x^2+5)(3x^2-2)[/tex]

Hence, the factors of the polynomial are [tex]\rm (x^2+5)(3x^2-2)[/tex].

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Answer:

C

Step-by-step explanation:

multiply the 1st equation by -3

Answer:

2.5 feet per minute

Step-by-step explanation:

Rate of Change:  [tex]\frac{75-25}{30-10}[/tex] = 50/20 or 5 feet every 2 minutes or

2.5 feet per minute

Answer:

Step-by-step explanation:

To find how many solutions that this system equation has, we must solve it

since y equals to both '-5x +1' and '1-5x' we can set them equal to each other and get:

     [tex]-5x+1 = 1-5x\\0 = 0[/tex]

So there are infinitely many solutions as we got 0 = 0

Hope that helps!  

Answer:

The correct option is OPTION C.

Step-by-step explanation:

Recall that for a rhombus, the diagonals bisect the interior angles.

This means that if we are given that:

m∠DAB=160°

Then:

m∠EAB=m∠DAB/2=160/2=80°

Also, recall that the diagonals of a rhombus are perpendicular. Therefore:

m∠AEB=90°

Hence, we can have a triangle that looks like the one shown below:

Recall that the sum of angles in a triangle is 180°. Therefore, we have that:

m∠AEB+m∠ABE+m∠EAB=180°

Hence, we can calculate m∠ABE to be:

m∠ABE =180-80-90

m∠ABE=10°

The correct option is OPTION C.

Answer:

[tex] \frac{ {r}^{ 3} + 25}{p(q + r)^{4} } = \frac{ {(3.5)}^{3} + 25}{5(6 + 3.5)^{4} } = \frac{42.875 + 25}{5 {(9.5)^{4} }} \\ \\ = \frac{67.875}{5(8145.0625)} = \frac{67.875}{40725.3125} \\ \\ = 0.00166665 = 0.002[/tex]

Step-by-step explanation:

(3.5^3 +25) ÷5(6+3.5)^4

(42.875 + 25) ÷5 (9.5)^4

(67.875) ÷ 5 (8145.0625)

(67.875) ÷ 203626.5625

=0.00033333078)