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Answer:

3/2

Step-by-step explanation:

5x-7=-11x-25

5x+11x=-25+7

16x=18

x=18/16

x=3/2

Answer:

y=7.5x+6.2

Step-by-step explanation:

Hopefully this is the answer

Answer:

y=7.5x+6.2

Step-by-step explanation:

Hopefully this is the answer

Answer:

as a factor 2(x-1) this should help or be the correcr answer

Answer:

the answer is z^2-9. Using the box method line up equation. Then multiple numbers outside of the box and put numbers inside. Lastly combine like terms.

Answer:

2.5

Step-by-step explanation:

Taking eguation i

4x+y=13

x= 13-y/4

Taking equation ii

x-y = 2

Substituting the value of x in eq i from ii

x- y =2

13-y/4- y=2

13-y-y=2×4

13-2y =8

-2y=8-13

y=-5/-2

Therefore y=2.5

Step-by-step explanation:

a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m

(ii)3.14 m × ($4.70/m) = $14.76

b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2

Answer:

m=4

Step-by-step explanation:

look at the traingle formed with line with points (6,5) and (4, -3)

look at change in y (how tall the triangle is) and change in x (the base of triangle)

change in y=8

change in x=2

m=rise/run also known as change in y/change in x

=8/2

=4

note that this is a positive gradeint line

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

Answer:

C

Step-by-step explanation:

edge 2020

C 12y^2+5y-6/(y-3)(6y)

Answer:

obtuse angled triangle

Step-by-step explanation:

Given 3 segments , say a, b and c , with c the longest then

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute triangle

• If a² + b² < c² ⇒ obtuse triangle

Here c = 17 and 17² = 289

9² + 12² = 81 + 144 = 225

Since 225 < 289 , then triangle is obtuse

Answer:

(the last one) i think its B

Step-by-step explanation:

Answer:

138.23 cm²

Step-by-step explanation:

The formula for the area of a sector is given as:

θ/360 × πr²

θ = 110°

Radius = r = 12 cm

Hence

Area of a sector = 110/360 × π × 12²

= 138.23007676 cm²

Approximately, Area of a sector = 138.23 cm²

Answer: 54

Step-by-step explanation:

1) First, we need to find what 'x' is. We know that the exterior angles of a triangle equal to 360. So, we will add up all the expressions and set them equal to 360.

7x-2 + 9x-31 + 4x +33 = 360.

2) We will add all the like terms, which will give us: 20x + 0 = 360. We don't need to add the 0.

3) Now, we will isolate the 'x' by dividing 360 by 20 and we will get: x= 18.

4) To find the measure of angle DCE, we just have to substitute x in '7x-2' with 18, which then would equal to: 124.

5) Now, that we have the adjacent angle of DCE, we just have to subtract 124 from 180, and we will get the answer.

6) Angle DCE equals to 54.

Answer:

30

Step-by-step explanation:

Answer:

m= -1/3

Step-by-step explanation:

slope is rise/run or change in y/change in x

i pick out point (9,0) to (6,1)

the increase in y of this triangle is 1 and increase in x is 3

note that this line will have a negative slope as it goes downwards from left to right instead of upwards

hence m= rise/run= -1/3

The initial saving of the Winston was $55952.48

Compound interest is when you receive interest on both your interest income and your savings.

According to the question given,

Let the initial savings amount be P

We know Compound interest =

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per year

t = number of time periods elapsed

Given,

A = $65000

t = 3 years

r = 5% = 0.05

n = 2 *12 = 24

So

65000 = P(1 + (0.05/24))^72

P =  $55952.48

Therefore the initial savings was  $55952.48

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Subtract the smaller of the two numbers from the larger of the two numbers to discover the difference between them.

Subtract the smaller of the two numbers from the larger of the two numbers to discover the difference between them. The difference between the two numbers is the sum's product.

Subtracting two integers from each other is a type of subtraction.

The process for determining the difference between two decimals and two whole numbers is the same.

We only add a new step.

Finding the difference between 8.967 and 7.2, for instance, could appear more difficult.

To give them all the same amount of decimal places, we must first convert each decimal.

7.2 becomes 7.200 as a result.

The computation may now be done as before:

8.967 - 7.200 = 1.767

Therefore, there is a 1.767 discrepancy between these figures.

In order to find the difference between two fractions, simplify and find the lowest common denominator of each fraction.

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Answer:

8 x 16 = 128 (area of rectangle)

Area of triangle:

16 - 12 = 4

6 x 4 = 24

24 divided by 2 = 12 (area of triangle)

Now lets add both areas:

128 + 12 = 140 ft2 is your answer.

An equation is formed of two equal expressions. The number of solutions that the given system of equation will give is 3. Thus, the correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The number of solutions that the system of equations will have can be found by plotting both the equation on the graph.

Since the point at which the graph intersects is the solution of the system of equations.

Hence, the number of solutions that the given system of equation will give is 3. Thus, the correct option is D.

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Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

 + 4    +4                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

Answer:

x = 5

Step-by-step explanation:

i will insert an image of my work below

answer:

my answer to the first one would be false

my answer to the second would be a

Answer:

The answer is x= [tex]\frac{9+\sqrt{69}}{2}[/tex], x= [tex]\frac{9-\sqrt{69}}{2}[/tex]

Step-by-step explanation:

x^2=a

-9x=b

3=c

Plug into formula.

Equation: [tex]\frac{9+-\sqrt{(-9)^2-4(1)(3)}}{2}[/tex]

Simplify the equation.

Equation: [tex]\frac{9+-\sqrt{81-12}}{2}[/tex]

Subtract 81 and 12.

Equation: [tex]\frac{9+-\sqrt{69}}{2}[/tex]

Spit into two equations

Equation 1: [tex]\frac{9+\sqrt{69}}{2}[/tex]

Equation 2: [tex]\frac{9-\sqrt{69}}{2}[/tex]

Hope this helps!

Angle ADC = 120 degrees.

A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°

Given, two circles of radius 1 unit and 2 unit which have same center D.

We know area of a circle = π r²

Area of larger circle = π 2² = 4π

it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.

area of sector, ACD = 1/12 ×4π

as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.

formula for area of sector ACD = π r² ×Ф/360°

where,Фis the central angle of ACD sector

and Ф = ADC

from the above statement, 4π/12 = π r² ADC/360

                        ADC = 1/3×360°

ADC = 120 degrees

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Answer:

15

Step-by-step explanation:

5x + 15 <= 90

5x<=75

x=15

Answer:

15 roses

Step-by-step explanation:

90 (Amount Santo wants to spend)

15 (Shipping fee)

You first subtract Shipping Fee from the total amount Santo wants to spend

90-15=75

Next it's time to figure out how many roses he can buy with the $75

Each roses is $5, so you divide the left over money after shipping by the price of the rose.

75÷5=15

The best answer is t = 7. Option C

A quadratic equation is simply defined as an equation that could be rearranged in standard form.

It is also described as an algebraic equation having the highest exponent of as 2.

It is so arranged such that;

It is important to note that the three methods of solving quadratic equation are;

From the information given, we have that the form is;

x² = c

Given  t squared minus 49 = 0

First, represent mathematically

t² - 49 = 0

Now, collect like terms, we have;

t² = 49

Take square root of both sides

t = √49

t = 7

Hence, the equation is  t = 7

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