4.
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Answer:

$270

Step-by-step explanation:

20% of 225 is 45. So, 225+45=270

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The value of m and t is 4- 3m/2 and 8/3 -2t/3.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

2t+3m=8

For t:

2t= 8-3m

t= (8-3m)/2

t= 8/2 -3m/2

t= 4- 3m/2

For m:

3m= 8-2t

m= (8-2t)/3

m=  8/3 -2t/3

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Answer:

Skewed Right

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

Answer:

26° 26° 128°

77° 77° 26°

Step-by-step explanation:

So we have two scenarios here.

One of them is if the base angles are 26°.

If that's true, the other angle is 128°

The other scenario is the opposite.

This means the base angles are 77°

Answer: [tex]13.34\ \text{miles}[/tex]

Step-by-step explanation:

Given

First the person travels 13 mi west and then 3 mi due to south

The distance traveled by crow is represented by line BO

using Pythagoras theorem, we can write

[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]

Answer: 322in 2

Step-by-step explanation:

1. Cut it in half

2. 8*21=168 (first half)

3. 11*14=154 (second piece)

4. Add 168 and 154, equals to 322in 2

Answer:

Length = 12 cm

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 5² = 169 - 25 = 144

Length = √144 m= 12 cm

Answer:

It's 34 cm

Step-by-step explanation:

Width of a rectangle = 5 cm

Diagonal of a rectangle = 13 cm

By Pythagoras Theorem,

Length of a rectangle = √(13² - 5²)

Or, Length of a rectangle = √(169 - 25)

Or, Length of a rectangle = √144

Or, Length of a rectangle = 12 cm

Perimeter of a rectangle = 2(12+5)

Or, Perimeter of a rectangle = 2×17

Or, Perimeter of a rectangle = 34 cm

Therefore, the perimeter of a rectangle = 34 cm

Answer:

I hope this helps!

Step-by-step explanation:

ACB

Answer:

[tex]x=23.82^o[/tex]

Step-by-step explanation:

[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]

[tex]tan~36=\frac{225}{y}[/tex]

[tex]y=\frac{225}{tan ~36}[/tex]

[tex]y=309.6859321[/tex]

[tex]tan(x)=\frac{225}{y+200}[/tex]

[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]

[tex]x=23.81898048[/tex]

[tex]x=23.82^o[/tex]

------------------------

hope it helps...

have a great day!!

23.82° is derived as the value of x according to nthe diagram shown.

This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.

36 = 225/y

y = 225/tan 36

  = 309.686.

tan(x) = 225 / y+200

x = tan -1 (225/309.686)

x = 23.82

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Answer:

7.29%

Step-by-step explanation:

Given data

Principal=  $1,000

Final amount= $2,400

TIme= 12 years

The expression for the compound interest is given as

A= P(1+r)^t

Make r subject of fomula

r = ln(A/P) / t

r= ln(2400/1000)/12

r= ln(2.4)/12

r= 0.875/12

r= 0.0729

Hence the rate is 7.29%

Answer:

5.3 years or 17.2 years

Step-by-step explanation:

Answer:

2x^2 + 5x - 8

Step-by-step explanation:

   6x^2 + 3x - 5

- (4x^2 - 2x + 3)

--------------------------

2x^2 + 5x - 8

Answer:

Step-by-step explanation:

Rewrite 3x²-12x+16 as follows:

3(x^2 - 4x) + 16

Complete the square of x^2 - 4x; it is (x - 2)^2 - 4.  We then have:

3( (x - 2)^2 - 4) + 16, or:

3(x - 2)^2 - 12 + 16, or

3(x - 2)^2 + 4

Then a = 3, p = -2 and q = 4

********************************************************************

Completing the square of x^2 - 4x is done as follows:

1.  Identify the coefficient of x:  It is -4.

2.  Take half of this result:  It is -2

3.  Square this, and then add the square to x^2 - 4x, and then subtract it:

    x^2 - 4x = x^2 - 4x + 4 - 4

4.  Rewrite this result in the form (x - a)^2 - c:

    (x - 2)^2 - 4  

5.  Now follow the remainder of the problem solution (given above)

Answer: [tex]6.04\ ft[/tex]

Step-by-step explanation:

Given

The fence has a length of 38 ft i.e. it is the circumference of the circular flower

The circumference of the circle is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]

The largest radius of the garden is  [tex]6.04\ ft[/tex]

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 =  1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

Answer:

1) (B) 25/18 ft³

2) (C) 1/216 ft³

Step-by-step explanation:

1) 1 2/3 x 5/6 x 1 = 5/3 x 5/6 x 1 = 25/18 ft³

2) 1/6 x 1/6 x 1/6 = 1/216 ft³

Answer:

Step-by-step explanation:

Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?

Answer:

2.275%

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score = 14.9 ft

μ is the population mean = 12.5 ft

σ is the population standard deviation = 1.2 ft

We are to find the percentage of the apple trees are taller than 14.9 ft,

This means x > 14.9, x greater than 14.9

Hence,

z = (14.9 - 12.5)/1.2

z = 2

Probability value from Z-Table:

P(x<14.9) = 0.97725

P(x>14.9) = 1 - P(x<14.9) = 0.02275

Converting to Percentage

= 0.02275 × 100

= 2.275%

Therefore, the percentage of the apple trees that are taller than 14.9 ft is 2.275%

Answer:

A ≈ 153.86 in²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

   = π × 7²

   = 3.14 × 49

   ≈ 153,86

   ≈ 154 in² ( to the nearest whole number )

Answer:

Here we have the position of an object represented by the equation:

y = 4*sin(3*x) + 4

Where we can assume that y represents the height of the object.

We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5

First let's find the maximum height.

y = 4*sin(3*x) + 4

Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:

sin(x) = 1

when x = 90° = pi/2 = 3.14/2

Replacing that in the equation, we get:

y = 4*1 + 4 = 8

The maximum height of the object is 8.

Now, we know that the maximum of the sin(x) function is when x = pi/2

But in our case, we have the function sin(3*x)

Then this function is maximized when:

3*x = pi/2

x = pi/(2*3) = pi/6 = 3.14/6

And:

0 < 3.14/6 < 5

Then the first maximum occurs at x = 3.14/6 = 0.52

But it can happen again on the interval.

The next maximum of the sin(x) function is when:

x = pi/2 + 2*pi

In our case, we again have sin(3*x), then we need to solve:

3*x = pi/2 + 2*pi

x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62

This is also in the interval 0 < x < 5

The next maximum of sin(x) happens at:

x = pi/2 + 2*pi + 2*pi

In our case, for sin(3*x) we need to have:

3*x = (pi/2 + 2*pi + 2*pi)

x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71

This again is in the interval 0 < x < 5

(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)

Then the maximum height occurs at:

x = 0.52

Then occurs again at:

x = 2.62

And finally occurs again at:

x = 4.71

Answer:

1,600

Step-by-step explanation:

Divide 240 by 3. This is 80, or 5% of the total.

Multiply 80 by 20, to get 1,600, 100% of the total

Given:

Dimensions of a block are [tex]\dfrac{1}{3}\times 1\times 1[/tex].

To find:

The number of block that can be fit in a unit cube.

Solution:

Volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth or width and h is the height of the cuboid.

So, the volume of the given block is:

[tex]V_1=\dfrac{1}{3}\times 1\times 1[/tex]

[tex]V_1=\dfrac{1}{3}[/tex]

Dimensions of a unit cube are [tex]1\times 1\times 1[/tex]. So, the volume of the unit cube is:

[tex]V_2=1\times 1\times 1[/tex]

[tex]V_2=1[/tex]

We need to divide the volume of unit cube by the volume of a block to find the number of block that can be fit in a unit cube.

So, the number of blocks that fit in a unit cube is:

[tex]n=\dfrac{V_2}{V_1}[/tex]

[tex]n=\dfrac{1}{\dfrac{1}{3}}[/tex]

[tex]n=3[/tex]

Therefore, the correct option is B.

Answer:

the answer would be "b" 3 because its in 1/3 and the block is 1/3

Answer:

65

Step-by-step explanation:

Method 1(Algebra):

m - 14 = 51

Add 14 to both sides of the equation.

m - 14 + 14 = 51 + 14

Combine like terms.

m = 65

Method 2:

m - 14 = 51

Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)

m = 51 + 14

Combine like terms.

m = 65

Answer:

14 dollars

Step-by-step explanation:

Anjali had 12 dollars after recieving the 5. So in order to find out how much she had before cleaning the gutters, we substract those 5 dollars from the 12. That leaves us with 7 dollars. This is the amount of money she had after spending half at the movies, and before cleaning the gutters. Which mean's it's half of her allowance. 7 x 2 is 14, which is your answer! :)

Answer:

the picture is messed up

Step-by-step explanation:

Answer:

34?

Step-by-step explanation:

P=a+b+c=10+12+12=34

Answer:320

Step-by-step explanation:

for any square or rectangle the formula for area is l*w means length times width so for this particular square the length is 16 and the width is 20 so multiply the two and you get 320 hope this helps

First, order up the numbers into order:

2, 3, 3, 5, 6, 8

Next, cut off the ones on each side to get the median.

2, 3, 3, 5, 6, 8

2, 3, 3, 5, 6, 8

Now with this, add the two middle numbers and divide by 2 to find the avg. of them:

3+5 = 8

8/2 = 4 is the Median

Next, split up the number list into the lower section and the higher section, now knowing the Median:

2, 3, 3 Lower

5, 6, 8 Higher

Then, find the Median of each of these sections.

2, 3, 3 Lower Quartile is 3

5, 6, 8 Higher Quartile is 6

Hope that helps.

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helped :) If you need a explantion step by step then tell me.