What is this answer

The formula for the area of a triangle is A= hb/2

grin007 [14]

H = 2A/b
h = 2(24/12)
h = 4 units

4 0

3 years ago

Amber bought three 8 pound bags of dog food at $2.25 per pound, two 4 pound bags of cat food at $1.75 per pound, and three 1/4 p

Romashka-Z-Leto [24]

Answer:

$Total = \$73$

Step-by-step explanation:

Given

$Three\ 8lb = \$2.25/lb$ --- Dog Food

$Two\ 4lb = \$1.75/lb$ ----- Cat Food

$Three\ \frac{1}{4}lb = \$6.98$ -------- Fish Food

Required

Determine the amount spent

For Dog Food

$1\ lb = \$2.25$

Amber bought 8lb.

So, that is:

$8 * 1\ lb = \$2.25 * 8$

$8\ lb = \$18$

He bought 3 of those;

$Cost = 3 * \$18$

$Cost = \$54$

For Cat Food

$1\ lb = \$1.75$

Amber bought 4lb

So, that is:

$4 * 1\ lb = 4 * \$1.75$

$4\ lb = \$7$

He bought 2 of those;

$Cost =2 * \$7$

$Cost =\$14$

For Fish Food

$1\ lb = \$6.98$

Amber bought 1/4lb

So, that is:

$\frac{1}{4} * 1\ lb = \$6.98 * \frac{1}{4}$

$\frac{1}{4}\ lb = \$1.745$

He bought 3 of those;

$Cost = 3 * \$1.745$

$Cost = \$5.235$

Total amount spent is:

$Total = \$54 + \$14 + \$5.235$

$Total = \$73.235$

$Total = \$73$ (approximated)

3 0

3 years ago

Pls help it is due today

Serga [27]

Answer:it increased

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Liliana use for dark power crystals to raise 14 zombie soldiers she wants to know how many zombie soldiers Z she can race with 1

laiz [17]

Answer:

140 zombies

Step-by-step explanation:

Since this is a proportions problem and we are given three values and a variable we must solve for which is the number of zombie soldiers she can raise (z) with 10 dark power crystals. Therefore, we can use the rule of three to solve for this, in which we multiply the diagonal values and divide by the last remaining value in order to solve for the variable like so...

1 crystal <===> 14 zombies

10 crystals <===> Z zombies

(10 * 14) / 1 = 140 zombies

4 0

3 years ago

Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that (a)

UNO [17]

Answer:

a) P=0.226

b) P=0.6

c) P=0.0008

d) P=0.74

Step-by-step explanation:

We know that the seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Therefore, we have 46 balls.

a) We calculate the probability that are 3 red, 2 blue, and 2 green balls.

We calculate the number of possible combinations:

$C_7^{46}=\frac{46!}{7!(46-7)!}=53524680$

We calculate the number of favorable combinations:

$C_3^{12}\cdot C_2^{16}\cdot C_2^{18}=660\cdot 120\cdot 153=12117600$

Therefore, the probability is

$P=\frac{12117600}{53524680}\\\\P=0.226$

b) We calculate the probability that are at least 2 red balls.

We calculate the probability withdrawn of 1 or none of the red balls.

We calculate the number of possible combinations:

$C_7^{46}=\frac{46!}{7!(46-7)!}=53524680$

We calculate the number of favorable combinations: for 1 red balls

$C_1^{12}\cdot C_7^{34}=12\cdot 1344904=16138848$

Therefore, the probability is

$P_1=\frac{16138848}{53524680}\\\\P_1=0.3$

We calculate the number of favorable combinations: for none red balls

$C_7^{34}=5379616$

Therefore, the probability is

$P_0=\frac{5379616}{53524680}\\\\P_0=0.1$

Therefore, the the probability that are at least 2 red balls is

$P=1-P_1-P_0\\\\P=1-0.3-0.1\\\\P=0.6$

c) We calculate the probability that are all withdrawn balls are the same color.

We calculate the number of possible combinations:

$C_7^{46}=\frac{46!}{7!(46-7)!}=53524680$

We calculate the number of favorable combinations:

$C_7^{12}+C_7^{16}+C_7^{18}=792+11440+31824=44056$

Therefore, the probability is

$P=\frac{44056}{53524680}\\\\P=0.0008$

d) We calculate the probability that are either exactly 3 red balls or exactly 3 blue balls are withdrawn.

Let X, event that exactly 3 red balls selected.

$P(X)=\frac{C_3^{12}\cdot C_4^{34}}{53524680}=0.57\\$

Let Y, event that exactly 3 blue balls selected.

$P(Y)=\frac{C_3^{16}\cdot C_4^{30}}{53524680}=0.29\\$

We have

$P(X\cap Y)=\frac{18\cdot C_3^{12} C_3^{16}}{53524680}=0.12$

Therefore, we get

$P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)\\\\P(X\cup Y)=0.57+0.29-0.12\\\\P(X\cup Y)=0.74$

8 0

4 years ago