Steve has 10 biscuits in a tin.
There are 6 digestive and 4 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.

Answer:

72 lb

Step-by-step explanation:

Write and solve an equation of ratios:

80 pounds             x

----------------- = ------------------

100 pounds      90 pounds

Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.

The 80 pound child's weight includes 72 pounds of water.

Answer:

2/3

Step-by-step explanation:

2/3

Step-by-step explanation:

Very Simple

Take 2 points

x,y

x1,y1= 3,2

x2,y2=6,4

Find the slope

Y2-Y1/X2-X1

4-2/6-3

2/3

Answer:

We conclude that the solution is:

Step-by-step explanation:

Given the equation

[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]

Expand 12(x + 8):  12x + 96

[tex]12x+96=11x-5[/tex]

Subtract 96 from both sides

[tex]12x+96-96=11x-5-96[/tex]

Simplify

[tex]12x=11x-101[/tex]

Subtract 11x from both sides

[tex]12x-11x=11x-101-11x[/tex]

Simplify

[tex]x=-101[/tex]

Therefore, we conclude that the solution is:

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer:

Ykjhcgighgy7vgygoohgvg

Answer:

1,099.6

Step-by-step explanation:

if the radius is 5 and height is 14

you do

V=(pi)r squared × height

Answer:

i believe the answer is c

Step-by-step explanation:

i'm not entirely sure but i hope this helps :)

have a nice day !!

**please let me know if this was wrong**

Answer:

B & C

Step-by-step explanation:

you have to solve for x in both a negative and positive way

Answer:

1120

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If my eyes don’t fail me, it‘s true.

Sorry in advance if it’s wrong :<

Answer: True

Step-by-step explanation:

Answer:

6:2

Step-by-step explanation:

X share from old ratio is 1/2

Y share from old ratio is 1/3

Z share from old ratio is 1/6

Now, we are told Y retires and that X and Z purchase his shares.

Thus;

Amount X took from Y = 1/2 × 1/3 = 1/6

Amount Z took from Y = 1/6 × 1/3 = 1/18

Thus, new share of X is now; 1/6 + 1/2 = 2/3

New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9

Ratio is now X:Z = 2/3 : 2/9 = 6:2

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Answer:

Step-by-step explanation:

5

Answer:

4

Step-by-step explanation:

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]

[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059

Answer:

Y=3/5x-3

Step-by-step explanation:

Answer:

y=5/3x+5

Step-by-step explanation:

1)3y-5x=15

2)3y=15+5x

3)y=5+5/3x

4)y=5/3x+5    

1) Write the equation out

2) Add 5x to both sides of the equation

3) Divide both sides of the equation by 3

4) Reorder the terms  

Answer:

28/15

Step-by-step explanation:

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22

Answer:

 C

Step-by-step explanation:

Answer:

2z+7

Step-by-step explanation:

2*z+7

2z+7

Answer:

Y = -1/2x + 7/2

Step-by-step explanation:

slope = -1/2

Answer:

Emily's investment = $8,000

Step-by-step explanation:

Let Emily's invested amount = x

Let Samira's amount = y

8% of Emily's amount = 8/100 × x = 0.08x

9% of Samira's amount = 9/100 of y = 0.09y

∴ 0.08x + 0.09y = 1720

multiplying through by 100

8x + 9y = 172000 - - - - - (1)

7% of Emily's amount = 0.07x

6% 0f Samira's amount = 0.06y

0.07x + 0.06x = 1280

multiplying through by 100

7x + 6y = 128000 - - - - - - (2)

Next, let us subtract eqn 2 from eqn 1

equation (1) - equation 2

    8x + 9y = 172000

-

    7x + 6y = 128000

=     x + 3y = 44000 - - - - (3)

from eqn (3) x = 44000 - 3y - - - - - (4)

putting this value of x into eqn 1

8x + 9y = 172000

8 (44000 - 3y) + 9y = 172000

352000 - 24y + 9y = 172000

-15y = 172000 - 352000 = -180000

y = 180000 ÷ 15

y = $12,000

finding x using eqn (4)

x = 44000 - 3y

x = 44000 - 3(12000)

x = 44000 - 36000

x = $8,000

∴ Emily's investment = $8,000

Answer:

3( y - 2) + 2y =9

Step-by-step explanation:

It equals 3.

Answer:

y=3

Step-by-step explanation:

3(y-2)+2y=9

3y-6+2y=9

Isolate the variable y by transposing

3y+2y=6+9

5y=15

Simplify

y=3

Answer: x = 29

Step-by-step explanation:

both angles are the same

so:

2x = 3x-29

2x - 3x = -29

-x = -29

x = 29

Answer:

36°

Step-by-step explanation:

(6x)° + 54° = 90°

(complementary angles)

(6x)° = 90°- 54°

(6x)° = 36°

Answer:

you have 26 cups so i think its the 4th one or the 5th one

Step-by-step explanation:

Hope this helps!

Answer: 3x=60

Step-by-step explanation:

12x-20=10x+20

X=20

3(20)= 60

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

Answer:

75 m

Step-by-step explanation:

1m 60 cm = 160 cm

160cm-85cm= 75 cm

~ 75 cm of tape is left in the roll.