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2 years ago

Which of the following values are solutions to the inequality - 10 > 3x - 6?

Mathematics

1 answer:

Stells [14]2 years ago

7 0

Number 3 is the answer but the precise answer would be 1 1/3

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John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its wid

tatuchka [14]

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

7 0

2 years ago

Read 2 more answers

Find the sum.

Strike441 [17]

You are gonna use the distributive property.

4(2.5g - 4) + 3(1.2g - 2)

So you are going to multiply 4 with everything inside the first set of parenthesis and your gonna multiply 3 with everything insides the second set of parenthesis.

4 x 2.5g - 4 x 4 + 3 x 1.2g - 3 x 2

10g - 16 + 3.6g - 6

You wanna combine like terms:

10 - 3.6g + 16 - 6

6.4g + 10

You answer is 6.4g + 10.

Hope this Helps!!

6 0

3 years ago

6% of a value is 510

Dennis_Churaev [7]

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

6% * V = 510

Change percent to decimal form

.06V = 510

Divide each side by .06

V = 510/.06

V =8500

6 0

3 years ago

Read 2 more answers

Find the hypotenuse of a right triangle if side a=3 and side b=4

Slav-nsk [51]

Answer:

5 units

Step-by-step explanation:

By Pythagoras theorem:

$(hypotenuse)^2 = a^2+ b^2\\\therefore hypotenuse = \sqrt{a^2+ b^2} \\\therefore hypotenuse = \sqrt{3^2+ 4^2} \\\therefore hypotenuse = \sqrt{9+ 16} \\\therefore hypotenuse = \sqrt{25} \\\therefore hypotenuse = 5\: units$

4 0

3 years ago

Nth term of 8,11,16,23

Dmitry [639]

The ninth term will be 71.

3 0

3 years ago