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3 years ago

What is "six times a number y is less than or equal to 10 written as an inequality"

Mathematics

1 answer:

jekas [21]3 years ago

6 0

XY< 10

if you get too confused whether the x is a variable or a sign, use the * .

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Zack has been planting young trees in his garden. The maple tree that is 42 inches tall is growing 1 inch per month, whereas the

kolezko [41]

In 16 months, two trees will be of same height

The trees will be of 58 inches tall

Solution:

Let "x" be the number of months

The maple tree that is 42 inches tall is growing 1 inch per month

Thus, equation for maple tree is given as:

Maple tree : 42 + 1 inch (number of months)

Maple tree : 42 + x ------- eqn 1

The oak tree that is 10 inches tall is growing 3 inches per month

Thus, equation for oak tree is given as:

Oak tree : 10 + 3 inch (number of months)

Oak tree : 10 + 3x -------- eqn 1

For two two trees to be equal in height, equate eqn 1 and eqn 2

$42 + x = 10 + 3x\\\\3x - x = 42 - 10\\\\2x = 32\\\\x = 16$

Thus, in 16 months, two trees will be of same height

What will that height be?

Substitute x = 16 in any one eqn

$10+3x = 10 + 3(16) = 10+48 = 58$

Thus the trees will be of 58 inches tall

3 0

4 years ago

Lisa says that 43 is a 2-digit odd number that is composite us she correct

kogti [31]

Yes Lisa is correct 43 is a 2 digit number 4 is one digit and 3 is a digit so it makes two digits 43 is a prime number because 43 has no positive divisors rather than 1 and itself.

SO answer is YES

7 0

3 years ago

Read 2 more answers

A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a ubiform border. What is

zlopas [31]

Answer:2 in.

Step-by-step explanation:

Given

Dimension of photo frame is $20\ in.\times 24\ in.$

If the photo cover an area of $320\ in.^2$

Suppose x be the width of border

Therefore dimension of frame without border is

$A'=(20-2x)(24-2x)$

And $A'$ must be equal to $320\ in.^2$

So,

$\Rightarrow (20-2x)(24-2x)=320$

$\Rightarrow (10-x)(12-x)=80$

$\Rightarrow 120-10x-12x+x^2=80$

$\Rightarrow x^2-22x+40=0$

$\Rightarrow x^2-20x-2x+40=0$

$\Rightarrow (x-2)(x-20)=0$

Thus there are two values of x out of which $x=20\ in.$ is not valid because it is not feasible

thus width of border is $x=2\ in.$

5 0

3 years ago

Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^

MrMuchimi

Answer:

$- \bigg(3a - \frac{5}{2} b) \bigg)^{2}$

Step-by-step explanation:

$15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2}$

3 0

3 years ago

1 Work out the sizes of the unknown angles. a 66° 63 50° 1090

Stels [109]

Answer:

x = 110°

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

the exterior angle to 109° is

180° - 109° = 71° ( adjacent angles on a straight line )

then summing the exterior angles and equating to 360°

63° + 66° + 50° + x + 71° = 360° , that is

250° + x = 360° ( subtract 250° from both sides )

x = 110°

5 0

2 years ago

Read 2 more answers