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3 years ago

The equation y=5x describes a proportional relationship between x and y. What is the constant of proportionality?

Mathematics

1 answer:

umka2103 [35]3 years ago

7 0

Answer:

Step-by-step explanation:

y=Kx is the equation for proportions, k being constant, so k=5

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Someone please help me

yuradex [85]

Answer:

112in²

Step-by-step explanation:

Formulas: V = $\frac{lwh}{3}$ , V = lwh

Sub: v = $\frac{4 x 4 x 6}{3}$

Solve: 32

Sub: v = 4 x 4 x 5

Solve: 80

V = 80 + 32

V = 112

The total volume of the figure is 112in²

3 0

3 years ago

The bobcat bouncers jumping team can jump 18 times in 9 seconds. At this rate, how many jumps can they make in 45 seconds?

prisoha [69]

Answer:

The bobcat bouncers jumping team can jump 90 times in 45 seconds.

Step-by-step explanation:

6 0

3 years ago

Alison has all her money invested in two mutual funds, A and B. She knows that there is a 40% chance that fund A will rise in pr

alisha [4.7K]

Answer:

24% probability that both fund A and fund B will rise in price

Step-by-step explanation:

We have these following probabilities:

40% probability that fund A will rise in price.

If fund B rises in price, 60% probability that fund B does.

What is the probability that both fund A and fund B will rise in price

40% of A, and if A rises, 60% is B. Since the only outcome that interests us is both rising in price, we multiply these probabilities

$P = 0.4*0.6 = 0.24$

24% probability that both fund A and fund B will rise in price

3 0

4 years ago

Sabrina is in charge of ordering t-shirts for the Freshman council to sell at school. She has to decide whether to order the shi

ss7ja [257]

Answer:

(a)The cost of ordering 3 Custom T-shirts is $39.

The cost of ordering 3 Fancy T-shirts is $75

(b)15 T-Shirts

Step-by-step explanation:

(a)Let n be the number of T-Shirts ordered

Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.

Cost, C=15+8n

Therefore, the cost of ordering 3 Custom T-shirts

= 15+8(3)

=15+24

=$39

Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered

Cost, C=60+5n

Therefore, the cost of ordering 3 Fancy T-shirts

= 60+5(3)

=60+15

=$75

(b)We are to determine the number, n at which the costs, C will be equal.

If C=60+5n and C=15+8n are equal, then:

60+5n=15+8n

8n-5n=60-15

3n=45

n=15

Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.

3 0

4 years ago

Describe a way to calculate 304-81 mentally by using reasoning other that the common subtraction algorithm. Then write a coheren

Natasha_Volkova [10]

Answer:

See explanation

Step-by-step explanation:

To subtract mentally 81 from 304, complete following steps:

Step 1: Write number 304 as

$304=300+4\\ \\304=200+100+3+1\\ \\304=200+20+80+3+1$

Step 2: Write number 81 as

$81=80+1$

Step 3: Now subtract 80 and 1 from number 304:

$304-81=(200+20+80+1+3)-(80+1)\\ \\304-81=200+20+3\\ \\304-81=223$

6 0

3 years ago