Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18.

Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.

the diameter of the clock= 30 cm

the radius of the clock= 15 cm

(a) the area of the clock is

[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]

(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.

The circumference of the clock is

[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]

Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4

Answer:

x = 1.25

Step-by-step explanation:

-3x+10 = 5x-8

+3x        +3x

10 = 8x - 8

+8           +8

18 = 8x

x = 18/8

x = 1 1/4 = 1.25  

Answer:

30 boxes

Step-by-step explanation:

if that is a 1/2,

then he needs half for each box

he has 15 feet's of ribbon

for every two boxes he needs 1 foot of ribbon

2×15=30

Answer:

Students who watch television in the evenings tend not to have any homework is the association suggested by the two-way table.

Step-by-step explanation:

Of the students who watch television, 33% have homework, and 67% do not have homework.

So, students who watch television in the evening tend not to have homework.

Of the students who do not watch television, 75% have homework, and 25% do not have homework.

So, students who do not watch television in the evenings tend to have homework.

I just had the question on Study Island!

Answer:

Students who watch television in the evenings tend not to have any homework.

Step-by-step explanation:

Have a good day :)

Answer:

R(x) = (4.50 – 0.50x)(700 + 100x)

___________________________

R(x) is in factored form

Where x is each decrease in the price.

____________________________

Explanation:

R(x) is in the form ax² + bx + c.

This is where the equation is distributed and simplified [Standard form]

The maximum revenue is represented by

R(-b/2a), where the vertex of this relationship is, at x = -b/2a.

Revenue = (Price)(Quantity)

____________________________

R(x) = (4.50 – 0.50x)(700 + 100x) →

-50x² + 100x + 3150 [ax² + bx + c].

x = -b/2a

x = -(100)/2(-50)

x = -100 / -100

x = 100 / 100

x = 1

Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.

R(2) = -50(1)² + 100(1) + 3150

R(2) = -50(1) + 100 + 3150

R(2) = -50 + 100 + 3150

R(2) = 3200.

_______________________________

Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.

Answer:

32

since 2^-2 is equal to 0.25, you divide 8 by 0.25 which is 32

Answer b=-2

Step-by-step explanation: Simplify  2^2 to 4 so 4−2b=8 then -2b=4 b=-4/2= b-2

Hope this helped :)

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Answer:

341km2

Step-by-step explanation:

7km*25km=175km2

8km*(11km+6km)=136km2

5km*6km=30km2

175km2+136km2+30km2=341km2

Answer:

Conner's work is correct

Jana's work is incorrect

Step-by-step explanation:

Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.

Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

Answer:

c.

Step-by-step explanation:

Please note that the angle A and B are somewhat close to 45deg, so we expect AC and BC to be close in length.

We can drop answer a on that basis.

We can also drop abswer d on the basis that AC is longer than AB there and that cannot be the case in a right triangle.

We can verify that for both b and c the Pythagoras theorem holds, so we need to choose the answer that fits the angles A and B. Te can check the tan of the angle to get the ratio between BC and AC.

tan(48.8deg) ~= 1.1423

1.6/1.4 ~= 1.1429; close enough.

So we choose answer c.

Answer:

4 ) reflexive property of congrunce

5 ) Definition of Equilateral Triangle

Step-by-step explanation:

4) the lines are equal to each other

5) if one triangle is equal to another triangle than they must be the same triangle

Answer:

112.2857143 Or 112 with a remainder of 2

Step-by-step explanation:

 1 1 2

7 7 8 6

− 7    

 0 8  

−   7  

   1 6

 − 1 4

     2

Answer:

B

Step-by-step explanation:

B

Answer:

Cone

Step-by-step explanation:

A cone's cross sections are either a circle or a triangle

Answer: 68%

Step-by-step explanation:

Empirical rule is basically using a bell curve along with mean and SD to find the center percentage. So take the mean right. 100 if you add 15 which is the SD you get 115 or 34.1% from 100 to 115. If you do the same thing but subtract this time 100-15=85 34.1% again from 85 to 100. So 85 to 115 is 34.1%+34.1%=68%

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

Answer:

9: 1,3,9

45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

So the gcf is 9

Answer:

Step-by-step explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 9 and 45 by the following methods.

GCF of 9 and 45 by Listing the Common Factors Method

GCF of 9 and 45 by Prime Factorization Method

Answer:

27

Step-by-step explanation:

The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.

5t - 13 = 3t + 3

2t - 13 = 3              (Subtract 3t from both sides)

2t = 16                   (Add 13 to both sides)

t = 8                      (Divide both sides by 2)

Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.

5(8) - 13

40 - 13

27

So, the measure of angle X is 27

Answer:

Let hardcover book be x

Let paperback book be y

2x+3y=$118....Equation 1

3x+2y=$137.... Equation 2

Solve for x and y using simultaneous equation

Using elimination method

2x+3y=118......×3

3x+2y=137......×2

6x+9y=354

6x+4y=274

9y-4y=80

5y=80

y=80÷5=16

substituting y=16 into equation 1

2x+3(16)=118

2x+48=118

2x=70

x=70÷2=35

Therefore hardcover costs $35 each

paperback cover costs $16 each

Answer:

its a little blurry

Step-by-step explanation:

1. 34c = 68

Divide both sides by 34

C = 68/34

C = 2

2. D - 1/2 = 3/4

Add 1/2 to both sides

D = 3/4 + 1/2

D = 1 1/4

3. E + 52.5 = 81

Subtract 52.5 from both sides

E =81-52.5

E = 28.5

4. 18 = f/0.3

Multiply both sides by 0.3

F = 18 x 0.3

F = 5.4

Answer:

A -7

Step-by-step explanation:

the x intercept of a line means where it cross the x coordinate, which is -7

Answer:

a) -7

Step-by-step explanation:

(calculate the dots in the graph)

Answer:

828 rs

Step- -step explanation:

pradeep sold the item for 60 rs less than the cost price

The cost price = amount lost + amount it was sold

60 + 660 = 720 rs

To determine the selling price that would yield a gain of 15%,

15/100 x 720 = 108

108 + 720 = 828 rs

Answer:

Isosceles right triangle.

Step-by-step explanation:

From the given triangle ABM,

AM ≅ MB [Given]

∠AMB is an angle subtended by the diameter AB.

By theorem, angle subtended by a diameter is always 90°.

m∠AMB = 90°

So the given triangle is a right triangle with two equal sides AM and MB.

Therefore, ΔAMB is an isosceles right triangle.

Answer:

About 250 attendance

Step-by-step explanation:

Answer:

The attendance of 250

Step-by-step explanation:

You would see where the 125 containers is on the left is and then you would just go right from there until you hit a meeting point on the straight line which would be at 250

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

Answer:

its the last one D

Step-by-step explanation:

The median is 22 and the rest dont have that as the median

Answer:

x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

Step-by-step explanation:

let's solve for x.

y=23x(45)−7x+678

step 1: flip the equation.

1028x+678=y

step 2: add -678 to both sides.

1028x+678+−678=y+−678

1028x=y−678

step 3: divide both sides by 1028.

1028x/1028=y-678/1028

x=1/028 y+-339/514

answer- x= [tex]\frac{1}{1028} y[/tex]+[tex]\frac{-339}{514}[/tex]

good luck :)

have a great day !!