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2 years ago

Needs help with algebra

Mathematics

1 answer:

Maslowich2 years ago

6 0

Answer:

$4 {a}^{2} + 5b = 9b - 7c$

$=> 4 {a}^{2} + 7c = 9b - 5b$

$=> \frac{4 {a}^{2} + 7c }{4} = b$

option C

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A small plane flew 808 miles in 4 hours with the wind. Then on the return trip flying against the wind it travels only 488 miles

Blababa [14]

Answer:

Step-by-step explanation:

let wind velocity=x

speed of plane=y

(x+y)*4=808

x+y=808/4=202 ...(1)

(y-x)*4=488

y-x=122 ...(2)

add (1) and (2)

2y=202+122=324

y=324/2=162

from (1)

x+162=202

x=202-162=40

wind velocity=40 m/hr

speed of plane=162 m/hr

8 0

2 years ago

An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H

9966 [12]

Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

4 0

3 years ago

What is the answer to 54,000×10

mr Goodwill [35]

the answer to 54,000 x 10 is 540,000

8 0

2 years ago

Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models

kumpel [21]

Answer:

Option C $\left|80-5x\right|\le 4$

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above $80

$5x\leq 80+4$

Solve for x

$x\leq \$16.80$

The total cost to be no more than $4 below $80

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$

therefore

The inequality that represent this problem is

$\left|5x-80\right|\le 4$

Verify

First solution (positive case)

$+(5x-80)\le 4$

$5x\le 80+4$

Solve for x

$x\leq \$16.80$ ----> is ok

Second solution (negative case)

$-(5x-80)\le 4$

Multiply by -1 both sides

$(5x-80)\ge -4$

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$ ---> is ok

Remember that

$\left|5x-80\right|\le 4$ is equivalent to $\left|80-5x\right|\le 4$

Because is a absolute value

8 0

2 years ago

Need help with mathematics,can you help me? Ohh please answer this

asambeis [7]

Answer:

see explanation

Step-by-step explanation:

The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.

Δ FUN

largest angle is ∠ FUN ( opposite FN )

smallest angle is ∠ NFU ( opposite NU )

Δ GEO

largest angle is ∠ GEO ( opposite GO )

smallest angle is ∠ GOE ( opposite GE )

---------------------------------------------------------------------------

The longest side is opposite the largest angle and the shortest side is opposite the smallest angle.

∠ RTY = 180° - (70 + 55)° = 180° - 125° = 55°

Δ TRY is therefore isosceles with 2 congruent legs RT, RY

longest side is TY ( opposite 70° )

shortest sides are RT , RY ( opposite 55° )

8 0

2 years ago

Needs help with algebra ​

Needs help with algebra