Sand and gravel are mixed in the ratio 5:3
form ballast
a) How much gravel is mixed with 750kg of
sand?
b) How much sand is mixed with 750kg of
gravel?

Let S be the sum. So you have

S = 1 + 2 + 3 + … + 2004 + 2005 + 2006

as well as

S = 2006 + 2005 + 2004 + … + 3 + 2 + 1

Then

2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)

2S = 2007 + 2007 + … + 2007 + 2007

2S = 2006 × 2007

S = (2006 × 2007)/2

S = 2,013,021

which makes the last two digits 21.

Answer:

a

Step-by-step explanation:

follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time

Answer:

The answer is 144,5

Step-by-step explanation:

144,5/170×100 =85%

Answer:

B

add the two together.... 5x^3 is the only cube A or B  only x is 6x and only B  has that

Step-by-step explanation:

Answer:

your answer is B

[tex]f(x)=2x^{2} +6x-4[/tex]

[tex]g(x)=5x^{3} -6x^{2} -3[/tex]

[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]

[tex]=5x^{3} -4x^{2} +6x-7[/tex]

OAmalOHopeO

Answer:

[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

Answer:

Step-by-step explanation:

C = 16 * 3 = 48

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

Answer:

2 solutions

i hope this will help you

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

  = (28+26+30)/2

  = 42 centimeters

Now, to find the area, we can use Heron's formula:

A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

     [tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]

     [tex]\sqrt{42(14)(16)(12)}[/tex]

     [tex]\sqrt{112896}[/tex]

     336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

Answer:

The inequality is 0.6x < 12.5

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Step-by-step explanation:

14 gallons-1.5 gallons=12.5 gallons    

we know that  

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on    

so  

Let  

x ----> the number of days

0.6x < 12.5 inequality that represent the situation  

Solve for x

x < 12.5/0.6

x < 20.8 days

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Answer:

1

Step-by-step explanation:

Basically you just need to find the square root of all of them

36=6    -1=1      9=3 .     -1=1

6-1-3-1=1

Answer:

Step-by-step explanation:

The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9

4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴

= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)

= 4ⁿ × 341

= 4ⁿ × 11 × 31

Answer:  D) reflection across y = -x

Explanation:

When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).

When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]

So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).

Similarly, B(1,5) moves to B ' (-5, -1)

Finally, C(6,9) becomes C ' (-9, -6)

Answer:

Y= -1/2X- 2

Step-by-step explanation:

-3 - 11 = -14

2-(-5) = 7

7/-14 = -1/2

-3 = 2(-1/2) + b

-3 = -1 + b

-2 = b

Y= -1/2X-2

Answer:

answer is A

hope it helps please mark as brainliest answer and give me thanks

Answer:

648

Step-by-step explanation:

18√2×18√2= (18√2)²

                  = (18)²×(√2)²

                  = 324×2

                  = 648

Answer:

47.12

Step-by-step explanation:

C=2πr=2·π·7.5≈47.12389

Answer:

I can't help but I hope you succeed

Step-by-step explanation:

Let S be the sample space

S={HH, HT, TH, TT}

n(S)= 4

A: both the coins with some place

B: both the coins with different place

C:at least one tail

D:at the most one head

1) A={TT,HH}

n(A)=2

P(G)= n(A)/n(S)

= 2/4

= 1/2

2) B ={HT, TH}

n(B) = 2

P(B) = n(B)/n(S)

= 2/4

= 1/2

3) C= {HT, TH, TT}

n(C)=3

P(C) = n(C)/n(S)

= 3/4

4). D={HT, TH}

n(D) = 2

P(D) = n(D)/n(S)

= 2/4

=1/2

Answer:

+4/3

Step-by-step explanation:

-3/4 * -1 = 3/4 then flip it to 4/3

Answer:

4/3

Step-by-step explanation:

the slope of a perpedicular line is the inverse times negative one.

1)the inverse of -3/4 is -4/3

2)-4/3*-1 is 4/3

Answer:

[tex]5.06 x 10^{-3}[/tex]

Step-by-step explanation:

Move decimal 3 place to right.

Because the decimal was moved to right, the exponent is negative.

Answer:

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Step-by-step explanation:

The ratios are 5x + 9x + 6x

5x + 6x = 11x

Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.

11x = 44            Divide by 11

x = 44/11

x = 4

Colin gets 9x

x = 4

9*4 = 36

Colin gets 35 pounds.

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Caroline and Sarah get 20 + 24 = 44

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The value of n is n= 6/( m+1).

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

n= 6/( m+1)

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

16 direct

17 indirect

Step-by-step explanation:

16.

If it is a direct variation

y/x = constant

4/-2  -2

-8/4 = -2

-12/6 = -2

This is a direct variation

17.

y/x = -1/2 /-2 = 1/4

y/x = -1/-1 = 1

This is not a direct variation

If it is an indirect variation then

yx = constant

-1/2 * -2 = 1

-1*-1 =1

3 * 1/3 =1

This is an indirect variation

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

Step-by-step explanation:

Answer:f(x)=-5x^(2)-3x+9 this is the standard form