MATHEMATICS COLLEGE

5.Eight feet of plastic tubing costs $4.08. If you only have $8.16 to spend, how much plastic tubing
can you afford?
Cho

Answers

Answer 1

Answer:

Answer:

You can afford 16 feet of plastic tubing.

Step-by-step explanation:

Divide 8.16 by 4.08 = 2

Multiply 8 by 2 = 16

Hope this helps! Have a good day!

Answer 2

Answer:

Answer:

Sixteen feet of plastic tubing

Step-by-step explanation:

4.08x2=8.16 and 8x2=16 so its just double the amount.

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Barbara is 142 cm tall this is 2 cm less than 3 times her height at birth find her heaight at birth

Answers

142/3= 47.333-2 =45.333

Help me factorise 25tx squared + 20t - 24 please?

Answers

I tried to figure it out but Math Way says it cant be factorized? Sorry i hope you figure it out! Math way might be your best bet though

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?

Answers

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want $f(a) = a^2 + 7a + 12 = 2$ . We can subtract 2 from both sides of this equation to get $a^2+7a+10=0$ . We can factor this to get that $(a+2)(a+5)=0$ . When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.

The salary of members of two governing bodies in 2008 was $167.2

167.2 thousand, and has increased by approximately $

2

2 thousand per year since then.

Complete parts a. and b.

Answers

Complete Question

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

$\left|\begin{array}{c|c}-------&------\n$Years since 2008&$Salary (thousands of dollars)\n-------&------\n0&(2*--) + --\n1&(2*--) + --\n2&(2*--) + --\n3&(2*--) + --\n4&(2*--) + --\nt&(2*--) + --\end{array}\right| \n$

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer:

(a) $S(t)=2t+167.2$

(b) S(5)=$177.2 thousand.

Step-by-step explanation:

(a)

The salary increases by $2 thousand per year since 2008. Therefore, the completed table is below:

$\left|\begin{array}{c|c}-------&------\n$Years since 2008&$Salary (thousands of dollars)\n-------&------\n0&(2\cdot 0) + 167.2\n1&(2\cdot 1) + 167.2\n2&(2\cdot 2) + 167.2\n3&(2\cdot 3) + 167.2\n4&(2\cdot 4) + 167.2\nt&(2\cdot t) + 167.2\end{array}\right| \n$

Therefore, an expression that gives the salary (in thousands of dollars) of members of the two governing bodies t years since 2008 is:

$S(t)=2t+167.2$

(b)

When t=5

$S(5)=2*5+167.2\nS(5)=177.2$

This means that 5 years after 2008 (i.e Year 2013) the salary of members of the two governing bodies will be approximately$177.2 thousand.

Solve for x. Enter your answer in the box. x = A triangle with vertices labeled as A, C, D. Side C D is the base and the top vertex is A. Side C D is parallel to B E. Side A E is labeled as 7x minus 40, side E D is labeled as 18, side C B is labeled as 15, and side A B is labeled as 25.

Answers

Answer:

x = 10

Step-by-step explanation:

In ΔADC

∵ EB // DC

∴ m∠AEB = m∠ADC ⇒ corresponding angles

∴m∠ABE = m∠ACD ⇒ corresponding angles

In the two triangles ADC , AEB

∵ m∠AEB = m∠ADC

∵ m∠ABE = m∠ACD

∵ ∠A is a common angle

∴ ΔADC similar to ΔAEB

∴ AE/AC = AB/AC

∵ AE = 7x - 40 , ED = 18

∴ AD = 7x - 40 + 18 = 7x - 22

∵ AB = 25 , BC = 15

∴ AC = 25 + 15 = 40

∴ (7x - 40)/(7x - 22) = 25/40 ⇒ use cross multiplication

∴ 40(7x - 40) = 25(7x - 22)

∴ 280x - 1600 = 175x - 550

∴ 280x - 175x = 1600 - 550

∴ 105x = 1050

∴ x = 1050 ÷ 105 = 10

Answer:

Step-by-step explanation:

They said a whole lot of nothing so imma give the easier breakdown:

18/15=1.2
1.2x25=30
30+40 = 7x
7x = 70
x=10

Julio is planning activities for a trip that lasts from Thursday to Sunday. He is interested in visiting a museum, hiking the trails, attending the food festival, riding a jet ski, exploring a famous park, or going shopping. each activity takes a full day, and he will not do any activity twice. Julio wants to either visit a museum or explore the park on Thursday, and he is definitely attending the food festival on Saturday. How many different ways can he plan activities for his trip?A)24
B)30
C)40
D)120