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3 years ago

4 times a number plus 5 times a number is the same as ten more than 8 times the number

1 answer:

6 0

So first lets make the equation
4x+5=10+8x
so we subtract 8 on each side to get
-4x+5=10
then subtract 5 on each side
-4x=5
then divide -4 on each side to get -1 1/4

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What is 5/8 + 3/4 divided by -2 /3 - 5/6

pentagon [3]

$\text{Hey there!}$

$\frac{5}{4}+\frac{3}{4}\div-\frac{2}{3}\ -\ \frac{5}{6}$

$\frac{5}{8} +\frac{3}{4}=\frac{11}{8}$

$\frac{-2}{3}-\frac{5}{6}=\frac{-3}{2}$

$\text{Problem becomes:}\frac{11}{8}\div\frac{-3}{2}$

$\frac{11}{8}\div\frac{-3}{2}=\frac{-11}{12}$

$\boxed{\boxed{\bf{Answer:\frac{-11}{12}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

5 0

4 years ago

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

4 years ago

About 1.2 million people live in a region with a 6-mile radius what is the population destiny in people per square mile

Paladinen [302]

Answer:

10616 people per square mile

Step-by-step explanation:

No. of people living in the region = 1.2 million

Radius of the area = 6 mile

Since radius of region is given, area of can be calculated by using formula to get area of circle which is $\pi r^2$ where r is radius of circle.

the value of pie is 3.14 which will be used in the calculation

Area of region

$\pi r^2 \\=> 3.14 * 6^2\\=> 113.04$

population density of any place is calculated by dividing the total population of region with area of the region

mathematically it can be written as

population density of any place = the total population of region / area of the region

substituting the value of total population of region with 1.2 million and area of the region as calculated 113.04 square mile we have

population density of any place = 1.2 million/113.04 square mile

= 0.0106157113 million / square mile

Since one million is equal to 1,000,000

0.0106157113 million will be equal to 0.0106157113 * 1,000,000

= 10615.7113

rounding 10615.7113 nearest to unit value, it will be 10616.

Therefore, population density is 10616 people per square mile.

3 0

3 years ago

What is an equation of the line in point slope form that passes through the given point and has the given slope?

NemiM [27]

It is the fourth option, y+8=3(x-8)

3 0

3 years ago

help please i’ll give brainliest an explanation would help a lot too because i don’t know how to do this

anygoal [31]

Answer:

Exponential Function

Step-by-step explanation:

If you graph the numbers you'll get an exponential function graph. Hope this helps!

3 0

3 years ago