Tam buying stationary. I buy 3 pens and 4 pencils costing 83p and Caroline
buys 2 pens and 7 pencils costing 90p.
How much is one pen?

Answer: It will take approximately 30 months to pay off the $500.00.

Step-by-step explanation:

Since we have given that

Principal = $10.00

Amount = $500.00

Rate of interest = 18.24%

So, we will apply "Compound interest" to find the number of months:

[tex]A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5[/tex]

So, the number of months would be

[tex]2.5\times 12=30\ months[/tex]

Hence, it will take approximately 30 months to pay off the $500.00.

Answer:

-3

Step-by-step explanation:

2x-1=4x+5

-1=2x+5

-6=2x

x=-3

Answer:

x = -3

Step-by-step explanation:

Solve for x:

2 x - 1 = 4 x + 5

Subtract 4 x from both sides:

(2 x - 4 x) - 1 = (4 x - 4 x) + 5

2 x - 4 x = -2 x:

-2 x - 1 = (4 x - 4 x) + 5

4 x - 4 x = 0:

-2 x - 1 = 5

Add 1 to both sides:

(1 - 1) - 2 x = 1 + 5

1 - 1 = 0:

-2 x = 5 + 1

5 + 1 = 6:

-2 x = 6

Divide both sides of -2 x = 6 by -2:

(-2 x)/(-2) = 6/(-2)

(-2)/(-2) = 1:

x = 6/(-2)

The gcd of 6 and -2 is 2, so 6/(-2) = (2×3)/(2 (-1)) = 2/2×3/(-1) = 3/(-1):

x = 3/(-1)

Multiply numerator and denominator of 3/(-1) by -1:

Answer: x = -3

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

Answer:

A B and D but don’t quote me on it

Step-by-step explanation:

Answer:25

Step-by-step explanation:

you have to times 5 by 5

Answer:

The answer is explained below

Step-by-step explanation:

y = kx

A) y is directly proportional to x

When two terms are directly proportional to each other, it means that as one term increases, the other term also increases. Also as one term decreases, the other term also decreases.

If y is directly proportional to x, and k is the constant it can be represented by the equation:

y = kx

y = k/x

C) y is inversely proportional to x

When two terms are inversely proportional to each other, it means that as one term increases, the other term also decreases. Also as one term decreases, the other term increases.

If y is inversely proportional to x, and k is the constant it can be represented by the equation:

y = k/x

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer:

F(x)= -7

Step-by-step explanation:

f(-3)=4(-3)+5

F(-3)=  - 12 + 5

F(x)= -7

Hope this helps

Answer:

f(-3)= -7

Step-by-step explanation:

To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.

f(x)=4x+5

Therefore, we can substitute -3 in for x.

f(-3)=4(-3)+5

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 4 and -3

f(-3)=-12+5

Add -12 and 5

f(-3)= -7

Answer:

1.C 2.D

Step-by-step explanation:

Answer:

1 is C and 2 is D

Step-by-step explanation:

Answer:

A cofunction is whenever A and B are completmentary angles.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] - 1[/tex]

Step-by-step explanation:

[tex](-5 + 3i) \times (1 - 2i) \\ ( - 5 + 6) \times (1 - 2) \\ ( 1) \times ( - 1) \\ = - 1[/tex]

Answer:

No, she won’t make a profit

Step-by-step explanation:

Here, we are interested in determining if Lucy made a profit or a loss.

The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter

The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter

Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.

This means that she mixed them the ratio as follows per liter;

For yellow, we have; 5/(5+2) = 5/7

For blue we have 2/(5+2) = 2/7

Now since a liter of yellow paint cost 4 pounds

5/7 of a liter will cost 5/7 * 4 = 20/7 pounds

For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7

The total cost in pounds in this;

20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place

Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss

Equation: [tex] 4x\degree + 2x\degree = 180°[/tex]

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

[tex] \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

[/tex]

Answer:

It would be 94 cm

Step-by-step explanation:

Answer:

94 cm

Step-by-step explanation:

just googled a rectangular prism calculator

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor 3 out of 3x.

3(x)+6

Factor 3 out of 6.

3x+3⋅2

Factor 3 out of 3x+3⋅2.

3(x+2)

Answer:

The missing justification is the transitive property.

Step-by-step explanation:

The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.

The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. The missing justification is the transitive property of equality.

The transitive property of equality states that if A is equal to B, and B is equal to C. Then B is equal to C. For Example,

A = B and B = C, then,

A = C

Given ∠A≅∠B and ∠C≅∠B therefore, using the transitive property of equality we can write ∠A≅∠C.

Hence, the missing justification is the transitive property of equality.

Learn more about Transitive Property:

https://brainly.com/question/2437149

#SPJ2

Answer:

5.2 feet.

Step-by-step explanation:

The useful equation to use for this problem is sine. Given the angle of measure 64 degrees, we have O (opposite) and H (hypotenuse).

From SOH CAH TOA, we see that we have O and H, so thus we should use sine.

Sine of any angle= opposite/hypotenuse.

Sine of 64= x/5.8

Sine of 64 (times 5.8)=x

x= 5.2 feet.

Additionally, you could use a right triangle calculator to solve for side x.

Answer:

Step-by-step explanation:

sin 64=x/5.8

x=sin64* 5.8

x=0.92*5.8

x=5.3

Answer:

(5x+2)(3x-2)

Step-by-step explanation:

15x^2-4x-4

= 15x^2+6x-10x-4

= 3x(5x+2) - 2(5x+2)

= (5x+2)(3x-2)

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....

Answer:

y = (x + 3)² - 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

To obtain this form use the method of completing the square

Given

y = x² + 6x + 2

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 2

  = (x + 3)² - 7

Answer:

PD is the answer

Step-by-step explanation:

(PA) (PC) = (PB) (PD)

Answer:

A

f(9) = 5

Step-by-step explanation:

Ex:

If we have an x value of 9, it would look like

f (9) = 9 + y-intercept

So in this situation we have a x-value of 9.

We know that at 9, y = 5.

So f (9) = 5.

Answer:

The answer is A

Step-by-step explanation:

Just took the test on Edge

I have never been marked Brainiest before if you would PLEASE pick mine.

Answer:

b = 3Vh

Step-by-step explanation:

When they ask to solve for b, you are essentially rearranging the equation so that b is alone on one side.

V = 1/3bh

(V)(3) = (1/3bh)(3)

3V = bh

(3V)/h = (bh)/h

3Vh = b

b = 3Vh

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

Answer:

D. 13 Units

Step-by-step explanation:

I just took the test

Answer:

1/12. What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.? 72°.

Step-by-step explanation:

Answer:

A. $ (5 + 2x), B. = $ 305

Step-by-step explanation:

x miles

A. cost for x miles = 5 + 2x ($)

B. cost for 150 miles = 5 + 2*150 =305 ($)

Answer:

A. let the mile driven = x

5 + 2x

B. × = 150 mile

taxi service = $5 + $2(150)

= $305

*in an equation u dont have to write the symbol . for example, $, ml, km, etc.

Answer:

o preço da cozinha era 106,20 reais.

Step-by-step explanation:

porque 590-16% e iqual a 106,20 reais  

foi o retirar o IGV

Answer:

Direction

Step-by-step explanation:

poop

Answer:

5

Step-by-step explanation:

The check digit is the very last digit on the right, the one by itself

5

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where's your picture?