Alfred has 10 more tokens than Clarissa. Clarissa has twice as many tokens as Benji. They have 85 tokens altogether. How many tokens does each person have.

Given:

The inequality is

[tex]3|p+4|+5<8[/tex]

To find:

The solution set for the given inequality.

Solution:

We have,

[tex]3|p+4|+5<8[/tex]

[tex]3|p+4|<8-5[/tex]

[tex]3|p+4|<3[/tex]

Divide both sides by 3.

[tex]|p+4|<1[/tex]

It can be written as

[tex]-1<p+4<1[/tex]

Subtracting 4 from each side, we get

[tex]-1-4<p+4-4<1-4[/tex]

[tex]-5<p<-3[/tex]

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

Answer:

m = 8

n = 9

Step-by-step explanation:

Remark

By similar triangles

(m - 4) /8 = 8 / 2m             Cross multiply

2m(m - 4) = 64                  Expand the left

2m^2 - 8m = 64                Divide through by 2

m^2 - 4m = 32                   Subtract 32 from both sides.

m^2 - 4m - 32 = 0             Factor

(m - 8)(m + 4) = 0

m + 4 has no meaning in geometry. - numbers cannot be distances.

m - 8 = 0

m = 8

===================

By the same kind of similar triangles used in problem A we get

7 / x = x / 9

x^2 = 63

Just leave this as it is. We'll solve this by the Pythagorean Theorem.

x^2 + 9^2 = (n + 3)^2

63 + 81 = (n + 3)^2

144 = (n + 3)^2                   Take the square root of both sides

12 = n + 3                           Subtract 3 from both sides.

9 = n

Answer:

4

Step-by-step explanation:

(3y^4+5y)  =

(3⋅y^4+5⋅y)

=4

Answer:

235

Step-by-step explanation:

94% of 250 is 235. To get 235, you can simply multiply 250 by .94

Answer:

l = 40 m and b = 30 m

Step-by-step explanation:

Let the length and breadth of a rectangle be 4x and 3x.

We know that,

The perimeter of a rectangle is given by :

P = 2(l+b)

140 = 2(4x+3x)

70 = 7x

x = 10

Length, l = 4x = 4(10) = 40 m

Breadth, b = 3x= 3(10) = 30 m

So, the length and breadth of a rectangle are 40 m and 30 m respectively.

Answer:

Step-by-step explanation:

The value of y is given in equation 2

Putting value of y = 3x in equation 1

Y = - x + 4

3x = - x + 4

Bringing like terms on one side

3x + x = 4

4x = 4

x = 4/4 = 1

Now putting value of x = 1 in equation 2

Y = 3x

Y = 3(1) = 3

Answer:

Point Form:

( − 9 , 9 )

Equation Form:

x = − 9 , y = 9

Answer:

the answer is C (3,-4)

Step-by-step explanation:

read the X axis then y axis

Answer:

300m

Step-by-step explanation:

Answer:

[tex]175[/tex] meter is  difference in height between the submarine and the aircraft

Step-by-step explanation:

The height of aircraft above the surface [tex]= 150[/tex] meter

Depth at which the submarine lies below the surface [tex]= 25[/tex] meter

Depth at which the underwater robotic vehicle  below the surface [tex]= 186[/tex] meter

Difference in height between the submarine and aircraft is equal to

[tex]25 +150 = 175[/tex] meter

Answer:

its b as the variables have no values

Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

Answer:

24 degree's

Step-by-step explanation:

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

Answer:

she listed the multiples of 15, not the factors. The factors would be 1, 3, 5, 15.

Step-by-step explanation:

Answer: 1x+2y= 8

I think

Answer:

5323

Step-by-step explanation:

453

Answer: No solution because both the y and x cancel each other out so it would be 0=12

Answer:

Step-by-step explanation:

this system has no solutions,

we divide first equation by 4

x-4y=2

x-4y=4

4 not equal to 2

Answer:

x = 6

Step-by-step explanation:

Answer:

There is 8 possible combinations.

Step-by-step explanation:

4 sandwiches: turkey, ham, cheese, chicken

2 drinks: milk, water

1 desert: cake

possible combinations:

1: turkey, milk, cake

2:turkey, water, cake

3: ham, milk, cake

4: ham, water cake

5: cheese, milk, cake

6: cheese, water, cake

7: chicken, milk, cake

8: chicken, water, cake

Answer:

B.

Step-by-step explanation:

If you calculate the sum of both you get:

5x + 2x + 4y - 7y = 24 + 26

7x - 3y = 50, which is B

Answer:

All of the above.

Step-by-step explanation:

By looking at the graph and taking point x at 4 and y at around 300. This shows us the precise rate of the graph which is when x = 4, y is equal to 300.

Now if we substitute the x as 4 in any of the equations we will get values larger than 300. Therefore, all the equations have a greater rate of change.

y = 85(4) = 340 (Greater)

y = 50(4) + 150 = 350 (Greater)

y = 65(4) + 100 = 360 (Greater)

Answer:

A= 16 B=28

Step-by-step explanation:

So the ration is 4:7, you have to find multiples that have that same ratio

Multiply both numbers by 4, this should get you

16:28

16 + 28 = 44

Therefore this is the correct answer

Answer:

y= -1

Step-by-step explanation:

Answer:

The answer would be y= -1

Step-by-step explanation:

When we have a number outside the parenthesis we do the rainbow method where we multiply the number on the outside of the parenthesis to the numbers inside the parenthesis so

-4*y= -4y and -4*-2=8

-4y+8=12

-4y=4

y=-1

Answer:

Step-by-step explanation:

d

Answer:

C

Step-by-step ex

Answer:

Congruent.

Step-by-step explanation:

Answer: 7ft

Step-by-step explanation:

The shape is a trapezium

Area of Trapezium= (1/2)(a+b)(h)

Area of Trapezium= 40sqft

a= x

b= 9ft

h= 5ft

40= (1/2)(x+9)(5)

40= (5(x+9)/2)

Cross multiply

80= 5(x+9)

80= 5x + 45

5x= 80-45

5x= 35

Divide both sides by 5

x= 7