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2 years ago

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

spayn [35]2 years ago

5 0

Answer:X=5/6 Y=8/5

Step-by-step explanation:

-6x +5y=3

+6x

5y=6x+3 (divide each number by 5)

Y=6/5x + 3/5 (Plug that into your x equation)

12x+15 (6/5x + 3/5) =34

(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )

15•6=90 divided by 5=18x

15•3= 45 divided by 5=9

(Add like variables)

12x+18x=30x

30x+9=34

(Subtract 9 from itself do the same to 34)

9-9= 0

34-9=25

Divide 30 by itself to get x by itself then divide 25 by 30

25 divided by 30= 5/6

X=5/6 (plug that into the y equation)

Y=6/5•5/6+3/5

Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators

6/5•5/6=30/30=1

Y=1+3/5

1/1 + 3/5

Here you need to have like denominators because it is addition so just use 5

5•1=5

5/5+3/5=8/5

Y=8/5

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What is the value of d to the nearest tenth?

Ghella [55]

Answer: $d=13.8$

Step-by-step explanation:

A line that cuts a circle at two points is called "secant".

There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".

According the Intersecting Secant Theorem:

$(14)(14+20)=(16)(16+d)\\(14)(34)=(16)(16+d)$

Having this expression, the next step is to solve for "d":

Use Distributive property:

$476=256+16d$

Subtract 256 from both sides:

$476-256=-256+256+16d$

$220=16d$

Divide both sides by 16:

$\frac{220}{16}=\frac{16d}{16}\\\\13.75=d$

The value of "d" rounded to the nearest tenth is:

$d=13.8$

6 0

3 years ago

Connor earned $85 at his job when he worked for 10 hours. What was his hourly pay rate in dollars per hour?

Rus_ich [418]

Answer:

8.5$

Step-by-step explanation:

85 diveded by 10 is 8.5$.

3 0

3 years ago

Read 2 more answers

What are the answers to these i put them in the picture

tekilochka [14]

The problem to number 1 is a inequality, so
x-2<-7
x<-5
since it is < it will have open dot.
Answer: C

2. x/3>-3
x>-9

Answer: D

3. 5p+26<72
5p<46
p<9.2

Answer: C

4. -3w+3>=18
-3w>=15
x<=-5

5. 15x-21>= 12x+18
x>=13
Answer A

6: |3x|=15
Absolute values positive so {-5,5}
Answer: B
7: |2x-3|=5
x=4,-1
Answer: C

8 0

3 years ago

Please can anyone help me on this question information below.

Delvig [45]

Answer:

a) 0.11

b) 60

Step-by-step explanation:

Total frequency:

12+35+11+23+7+12 = 100

P(3) = 11/100 = 0.11

P(6) = 12/100 = 0.12

Expected no. of sixes:

500 × 0.12 = 60

5 0

3 years ago

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to kilometers

Ira Lisetskai [31]

Answer:

The kilometers Jupiter travel in 5 seconds is 64 kilometers.

Step-by-step explanation:

Given:

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second.

1 mile is equal to 1.6 kilometers.

Now, to convert this speed to kilometers per second, and at this speed to find kilometers will Jupiter travel in 5 seconds.

So, to convert speed of miles per second into kilometres per second:

1 mile = 1.6 kilometres.

Thus, 8 miles = 8 × 1.6 = 12.8 kilometres per second.

Now, at this speed we calculate the kilometres Jupiter travel in 5 seconds by multiplying:

In 1 second Jupiter travel = 12.8 kilometres.

So, in 5 seconds Jupiter travel $=12.8\times 5$

$=64\ kilometers.$

Therefore, the kilometers Jupiter travel in 5 seconds is 64 kilometers.

6 0

3 years ago