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3 years ago

12

I have 15 mins lefttttt

2 answers:

Setler [38]3 years ago

8 0

Answer:

6 square inches

Step-by-step explanation:

formula for area of triangle is $\frac{1}{2}$ ×lh

so you multiply 4 times 3, divide it by 2, and you get 6

Kamila [148]3 years ago

5 0

6 is the correct answer

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

3 years ago

Need Help!!! ASAP

RoseWind [281]

Answer:

$P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}$

$P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}$

$P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}$

Step-by-step explanation:

The given probabilities are:

$P(red)=\frac{2}{7}$

$P(blue)=\frac{3}{14}$

Their sum is $P(red)+P(blue)=\frac{2}{7}+\frac{3}{14}$

The probabilities that will complete the model should add up to $\frac{1}{2}$ so that the sum of all probabilities is 1.

$P(green)+P(yellow)=\frac{2}{7}+\frac{2}{7}\ne\frac{1}{2}$

$P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}=\frac{1}{2}$

$P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$

$P(green)+P(yellow)=\frac{5}{21}+\frac{11}{21}\ne\frac{1}{2}$

$P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}=\frac{1}{2}$

5 0

3 years ago

The product of of five and a number is twenty

Elan Coil [88]

The product of five and FOUR is twenty.

3 0

3 years ago

Read 2 more answers

the ratio of hopeless romantics to hard-headed skeptics was 459 to 2. if there were 7,803 hopeless romantics, how many hard-head

JulijaS [17]

Answer:

333

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Find the missing length in the image below

lara31 [8.8K]

Let it be x

Using basic proportionality theorem

$\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{14}{7}$

$\\ \sf\longmapsto \dfrac{x}{10}=2$

$\\ \sf\longmapsto x=10(2)$

$\\ \sf\longmapsto x=20$

7 0

3 years ago