c)
How many quarters make a whole?
d) How many fifths make a whole?
e) How many tenths make a whole?
nta Excel in Mathematics - Book 3
108​

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the system of equations

2x - 5y = -5    --- [Equation 1]

y = -3x + 1​      --- [Equation 2]

converting the equation 1 in the slope-intercept form

2x - 5y = -5

5y = 2x+5

divide both sides by 5

y = 2/5x + 1

Thus, the y-intercept  = 1

Now, please check the attached graph below.

The red line represents the equation  2x - 5y = -5

From the graph, it is clear that the red line has the y-intercept y = 1.

Now, considerng the equation 2

y = -3x + 1​  

comparing with the slope-intercept form of line equation

The y-intercept b = 1

Hence, the y-intercept of the line y = -3x + 1​ is y = 1

The green line represents the equation  y = -3x + 1​  

From the graph, it is clear that the green line has the y-intercept y = 1.

Point of Intersection:

It is clear from the graph:

As both lines meet or intersect at the point (0, 1).

Therefore, the point of intersection of both the lines is:

(x, y) = (0, 1)

As we know that the point of intersection of both the lines represents the solution to the system of equations.

Therefore, (0, 1) on the graph represents the solution to the system of equations.

The graph is attached below.

Answer:

3 + 35 = 38?

Step-by-step explanation:

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

Given f(x) = 14(5−x)², the value of f(11) = 504

The given function is:

f(x) = 14(5 - x)²

To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²

f(11) = 14(5 - 11)²

Simplify the expression

f(11) = 14(-6)²

f(11) = 14(36)

f(11) = 504

Therefore, given f(x) = 14(5−x)², the value of f(11) = 504

Learn more on function here: https://brainly.com/question/10439235

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

Answer:

53.52°

Step-by-step explanation:

cos x° = 22/37 = 0.59456

x = 53.52°

Answer:

Hope it works for u

Step-by-step explanation:

As we have given two shapes bathroom

square and rectangle

Parameter of square= sum of all the sides   ( : In square all sides are equal

Parameter of square= 4*L  = 4*(x+3)       (:L=x+3

similarly,

In rectangle opposites sides  are equal hence

Perimeter of rectangle= 2*length+2*width  ( : length=x+4,width can't be seen clearly so I assume and take it width=x+1  hope this is equal to the width of ur question otherwise do the calculation by ur self).

Perimeter of rectangle= 2*(x+4)+2(x+1)

so now we have to find the value of "x" for which both perimeter are equal, so

perimeter of square= perimeter of rectangle

4*(x+3)=2*(x+4)+2(x+1)  we can also write as

for which both parameters become equal

Please brain-list it if u find it help-full it requires effort!

Answer: B option is correct. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

explanation: I hope that was helpful!

Answer:

x = -6

Step-by-step explanation:

4x - 2 - 8x = 22

-4x - 2 = 22

-4x = 24

4x = -24

x = -6

Answer: The probability is that it has a 50/50 chance of landing on either side

Step-by-step explanation:

Answer:

y=2x-4

Step-by-step explanation:

gdgdvdjsksevsg

Answer:

Approximately 3.81 seconds

Step-by-step explanation:

d = 3t + 5t²

d = 84

84 = 3t + 5t²

3t + 5t² - 84 = 0

5t² + 3t - 84 = 0

5(t² + 3/5t - 84/5) = 0

5(((t + 3/10)² - 9/100) - 84/5) = 0

5((t + 3/10)² - 9/100 - 84/5) = 0

5((t + 3/10)² - 9/100 - 1680/100) = 0

5((t + 3/10)² - 1689/100) = 0

5(t + 3/10)² - 1689/20 = 0

5(t + 3/10)² = 1689/20

(t + 3/10)² = 1689/100

t + 3/10 = ±√(1689)/10

t = -3/10 ± √(1689)/10

t = -3/10 ± ≈41.1/10

t = -3/10 ± ≈4.11

t ≈ -0.3 ± 4.11

t [can only be positive] ≈ 4.11 - 0.3

t ≈ 3.81

Answer:

M = rise/run is the formula

Step-by-step explanation:

That's it

Answer:

21 I think, might be wrong.

[tex]3(4 - 2x) = - 2x[/tex]

[tex]12 - 6x = - 2x[/tex]

[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Answer:

no rocky

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I think it's C and I am always right so it is C! You're welcome!

The simple interest earned by Donna by the end of the sixth year is $74.24

Simple interest is the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.  

Given that, Donna deposits $275 into her savings account for 6 years, the account earns 4.5% simple interest each year,

We need to find the interest earned by the end of the sixth year

Simple Interest = PRT / 100

Where,

P = Principal ($275)

R = rate (4.5%)

T = time (6 years)

SI = 275 × 6 × 4.5 / 100

= 7425 / 100

= 74.25

Hence, the simple interest earned by Donna by the end of the sixth year is $74.24

Learn more about simple interest, click;

https://brainly.com/question/25845758

#SPJ2

Answer:

I don't have graphing paper but this problem will have no solution. It will create two parallel lines going downwards.

Step-by-step explanation:

They both have the same slope and different y intercept so they will never intersect

Answer:

3 (x+5)

Step-by-step explanation:

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]

Answer:

b^7 / 8.

Step-by-step explanation:

Answer:

The lion eats 66 pounds of food per day

Step-by-step explanation:

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

Learn more about equations at

https://brainly.com/question/2972832

#SPJ2

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Answer:

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Step-by-step explanation:

Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

Answer:

No, the answer is 5

Answer: No the solution is 5

Step-by-step explanation:

When you substitute x with 6 you get 6+13= 18.

Obviously 6+13 is not 18 so this means that 6 is not a solution.

Hope this helps ;)

Answer:

Number of cars needed for the trip = 11

Step-by-step explanation:

Given that:

Number of children = 40

Number of adults = 12

Total number = 40 + 12 = 52 people

Each car can hold 5 people.

Number of cars = [tex]\frac{52}{5}[/tex]

Number of cars = 10.4

Rounding off to next whole number as one car can hold a maximum of 5 people.

Number of cars = 11

Hence,

Number of cars needed for the trip = 11

Answer: x = -5

Step-by-step explanation:

-3.4x - 9 = 8

         +9  +9

    -3.4x = 17

-3.4x ÷ -3.4 = x

17 ÷ -3.4 = -5

Answer:

a) % age of samples containing none of these defects = 93.9%

b)% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect = 98.9%

Step-by-step explanation:

Data Given:

Number of Samples = 1000

Type X defect = 2.1% = 21 samples

Type Y defect = 2.4% = 24 samples

Type Z defect = 2.8% = 28 samples

Both Type X and Y defect = 0.3% = 3 samples

Both Type X and Z defect = 0.4% = 4 samples

Both Type Y and Z defect = 0.6% = 6 samples

Type X and Y and Z defect = 0.1%  = 1 sample

Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.

a) % age of samples containing none of these defects.

Solution:

Number of samples containing none of these defects = Total - Samples with defects

Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

 Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }

Number of samples containing none of these defects = 1000 - 61

Number of samples containing none of these defects = 939

% age of samples containing none of these defects = 939/1000 x 100

% age of samples containing none of these defects = 93.9%

b) % age of samples containing at least one of these defects:

We have already calculated this above, number of samples containing at least on of these defects:

number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }  

number of samples containing at least on of these defects = 61

% age of samples containing at least one of these defects = 61/1000 x 100

% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects.

For this find, we need to find the samples with only Z Type defect.

Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

Number of Samples with Only Z type defects = { (28)  -(4) - (6) + (1) }

Number of Samples with Only Z type defects = 19

Now, we also know the number of samples without any defects = 939

Now,

The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects

The number of samples free of type X and/or type Y defect = 19+939

The number of samples free of type X and/or type Y defect = 958

% age of samples free of type X and/or type Y defects = 958/1000 x 100

% age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect:

For this find, we need to find number of samples with only X type and with only type Y and with only type Z.

We have already found the number of samples with only Z type defect = 19

Now,

number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only X type defect =  { (21)  -(4) - (3) + (1) }

number of samples with only X type defect =  15

Similarly,

number of samples with only Y type defect =  { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only Y type defect =  { (24)  -(6) - (3) + (1) }

number of samples with only Y type defect =  16

For,

samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects

samples with not more than 1 defect = 939 + 16 + 15 + 19

samples with not more than 1 defect = 989

%age of samples with not more than 1 defect = 989/1000 x 100

%age of samples with not more than 1 defect = 98.9%

9514 1404 393

Answer:

  200

Step-by-step explanation:

If P is the total number of plates, we have ...

  0.59P = 118

  P = 118/0.59 = 200

There are 200 plates total.

Answer:

2

Step-by-step explanation:

yaw

Answer:

2

Step-by-step explanation

Got it correct in Edgen :D