The larger of two numbers is 10 less than twice the smaller number, If the sum of the two numbers is 38, find the two numbers.

Answer:

A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.

Step-by-step explanation:

Answer:

C)  $84

Step-by-step explanation:

40 x 14 = 560

she made $560 prior to raise

14 x 1.15 = 16.10

her new hourly rate is $16.10

40 x 16.1 = 644

she now earns $644 per week

644 - 560 = 84

Answer:

Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

Step-by-step explanation:

Answer:

around 5,-5

Step-by-step explanation:

since its gona move 3 units up and 3 units left

Answer:

(a) The population in 2000 is 450

(b) 15% decreases each year

Step-by-step explanation:

Given

[tex]P = 450(0.85)^t[/tex] --- since 2000

[tex]P \to Population[/tex]

[tex]t \to years[/tex]

Solving (a): The population in 2000

First calculate t

[tex]t = 2000 - 2000[/tex] --- years since 200

[tex]t = 0[/tex]

So, we have:

[tex]P = 450(0.85)^t[/tex]

[tex]P = 450 * 0.85^0[/tex]

[tex]P = 450 * 1[/tex]

[tex]P = 450[/tex]

Solving (b): Rate of population decrease

A function that decreases is represented as:

[tex]P(t) = a(1 - r)^t[/tex]

Where

[tex]r \to[/tex] rate of decrement

Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]

[tex]1- r = 0.85[/tex]

Collect like terms

[tex]r = 1 - 0.85[/tex]

[tex]r = 0.15[/tex]

Express as percentage

[tex]r = 15\%[/tex]

Answer:

Measure of arc SR = 62°

Step-by-step explanation:

By using the property,

"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."

m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]

m(arc SR) = 2m∠SUR

                 = 2(31°)

                 = 62°

Answer:

15x - 4y =-50 -----(i)

3x - 2y=-16 --------(ii)

Using Substitution

From (i)

15x=4y-50

x=4y-50/15

Substitute x=4y-50/[15] into eqn (ii)

3x - 2y= -16

3[4y-50]/15 - 2y =-16

Multiply through by 15 to clear the fraction

3(4y - 50) - 30y=-240

12y - 150 -30y=-240

12y-30y=-240+150

-18y = -90

y=90/18

y=5.

Substitute into any eqn of choice to get x

3x - 2y=-16

3x - 2(5)=-16

3x - 10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2.

x= -2

y=5

Answer:

Me too, I need this 12

Step-by-step explanation:

Ughh

Answer:

38 degrees

Step-by-step explanation:

Angle 6 and the angle that we already know the measurement of are vertical angles.

And vertical angles are always equal to each other, so that means that the measure of angle 6 is also 38 degrees.

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps

Answer:

2w+12x

Step-by-step explanation:

distribute the 2

Answer:

20 cm tall

Step-by-step explanation:

12 x 20 x 20 = 4800

Answer:

5.49 inches

Step-by-step explanation:

Given data

Circumference= 34.48inches

The expression for the circumference of a circle is

C= 2πr

Make r the subject of formula

r= C/2π

r= 34.48/2*3.14

r= 34.48/6.28

r= 5.49 inches

Hence the radius is  5.49 inches

Answer:

36 Cubic Units

Step-by-step explanation:

Volume of a cube: Length x Width x Height

4 x 3 x 3 = 36

Answer:

First number = 19

Second consecutive = 20

Third consecutive = 21

Step-by-step explanation:

Assume;

First number = x

So,

Second consecutive = x + 1

Third consecutive = x + 1 + 1 = x + 2

So,

(x + 2)² - x² = 80

x² + 2(2)(x) + 2² - x² = 80

x² + 4x + 4 - x² = 80

4x + 4 = 80

4x = 80 - 4

4x = 76

x = 76 / 4

x = 19

First number = x

First number = 19

Second consecutive = x + 1

Second consecutive = 19 + 1

Second consecutive = 20

Third consecutive = x + 2

Third consecutive = 19 + 2

Third consecutive = 21

Answer:

Step-by-step explanation:

'Area of a square' formula is A = s^2, where s in the length of one side.

Here, with s = 4 cm, A = 16 cm^2

Answer:

Symmetric, If you fold the graph along the median, the point will almost match.

Step-by-step explanation:

The dot plot shows an approximately normal distribution with the peak being approximately in the centre and the tail shared to either sides of the peak. The median seem to reside at the centre of the distribution as well.

The median = 1/2(n+1)th term

n = 12

1/2(13)th term

Median = 6.5 term

Median = (6+6) /2 = 12/2 = 6

Answer:

Step-by-step explanation:

-3,5 to find it first go over then go up and you have your answer

Answer:

The answer is (5, -3)

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

G. Angle NKL is congruent to angle ZWX is the answer

Step-by-step explanation:

Hope it helps you:)

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

Answer:

yes

Step-by-step explanation:

$60×25%=$15...so the coupon she have worth $15 but she also have $50

so she has an overall of $65 she can use

but she must pay sales tax:$60×6,75%=$4.05

so then the overall money that she must pay for the printer is $60+$4.05=$64.05

so then the difference of her money and the price of the printer is:

$65-$64.05=$0.95

$0.95 is left over

Answer:

hey there buddy

Step-by-step explanation:

Answer:

2000 feet

Step-by-step explanation:

200*2=400

800*2=1600

400+1600=2000

Answer:

x < -3

Step-by-step explanation:

The domain in which the function is increasing or getting bigger is from x is negative infinity to  is -3

x < -3

Answer: 118

Step-by-step explanation: