what is one quarter of 5 hours

Answer:

Mothly income 5000 R

Food expenses 1500 R

Rent expenses 750 R

Other items 250 R

Step-by-step explanation:

She spends 30% of her income on food, 15% on rent and 5% on other items and saves 2500

30% + 15% + 5% = 50% that means half of her income is spent and the 2500 she saves is half of her income

Anita has 5000 monthly income she spents 30% of it on food which is equal to 1500

She pays 15% of her income for rent which is equal to 750 and 5% for other stuff which is equal to 250

Answer:  Monthly income = $5000

                Food = $1500

                Rent =   $750

                Other = $250

Step-by-step explanation:

Food = 30%

Rent =  15%

Other =  5%  

Total = 50%

50% of Monthly Income(m) equals $2500

  ↓    ↓                      ↓               ↓           ↓        

0.5   x                     m               =        2500

 0.5m = 2500

÷0.5      ÷0.5  

     m   = 5000

Food = 30%   → 0.3(5000)  = 1500

Rent =  15%    → 0.15(5000) =  750

Other =  5%    → 0.05(5000) = 250

                                    Total = 2500

Answer:

1. Coordinates of the other endpoint are (13, -10)

2. Coordinates of the other endpoint are: (8, 8)

Step-by-step explanation:

1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11

And the difference in the vertical axis is: | -1 - 8 | = 9

So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)

2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.

The differences now are:

horizontal: 4 - 0 = 4

vertical: 5 - 2 = 3

and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.

So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:

Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)

Answer:

b is the intercept of the graph. When x is 0, b is the y-value.

b affects the y-values, rather than the x-values. That means that it translates the graph up or down the y-axis by b units.

Hope this helps!

Answer:

B

Step-by-step explanation:

The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus

arc YZ = 2 × 84° = 168° → B

Step-by-step explanation:

If we take 4 as k then

4k = 4(4) = 16 boxes

k + 9 = 4 + 9 = 13 boxes

Answer:

4

Step-by-step explanation:

Box A = 4k

Box B = k+9

Box A > Box B

=> 4k > k+9

Subtracting k to both sides

=> 4k-k > 9

=> 3k > 9

Dividing both sides by 3

=>  k > 3

So, The smallest possible value of k is 4

Answer: w = 13 m, L = 19.5 m

Step-by-step explanation:

P = 3w + 2L

     3w + 2L = 78

              2L = 78 - 3w

                [tex]L=\dfrac{78-3w}{2}[/tex]

A = w · L

[tex]A=w\bigg(\dfrac{78-3w}{2}\bigg)\\\\\\A=\bigg(\dfrac{78w-3w^2}{2}\bigg)\\\\\\A=39w-\dfrac{3}{2}w^2\\\\\\0=-\dfrac{3}{2}w^2+39w-A[/tex]

    a=-3/2   b=39

[tex]\text{Axis of Symmetry}:w=\dfrac{-b}{2a}=\dfrac{-39}{2(-\frac{3}{2})}=\dfrac{-39}{-3}=\large\boxed{13}[/tex]

[tex]\text{Maximum}:L=\dfrac{78-3w}{2}=\dfrac{78-3(13)}{2}=\dfrac{78-39}{2}=\dfrac{39}{2}=\large\boxed{19.5}[/tex]

Answer:

Total surface area of a hemisphere: A = 3 * π * r² , Surface to volume ratio of a hemisphere: A / V = 9 / (2 * r) .

Answer:

Ali's salary is $50000.

Step-by-step explanation:

Let Jafar's salary be x.

(31/100)*x = 12400

x = (12400*100)/31

x = 400*100

x = $40000

Let Ali's salary be y.

y-[(20/100)*y] = 40000

y-(y/5) = 40000

(5y-y)/5 = 40000

4y = 200000

y = $50000

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

Answer:

6.1 cm

Step-by-step explanation:

Use the Pythagorean theorem for triangle ABD to find the hypotenuse.

7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.

Answer:

Option B is the right option.

solution,

Old price=$ 1.25

New price=$ 1.35

Now,

percentage increase:

[tex] \frac{new \: price - old \: price}{old \: price} \times 100 \: percent \\ = \frac{1.35 - 1.25}{1.25} \times 100 \: percent \\ = \frac{0.1}{1.25} \times 100 \: percent \\ = 8 \: percent[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

B.8%

Step-by-step explanation:

First, you figure out that the price increased by ten cents by subtracting the old price from the new one.

Then you figure out what one percent of 1.25 is by dividing it by 100 to get 0.0125.

Finally you can plug in each answer and multiply it with 0.0125 so you end up with 10 cents or 0.1.

8 is the correct answer.

Answer:

The maximum amount spent on clothing and footwear occured in late 2008.

Step-by-step explanation:

The existence of a maximum in a continuous differentiable function is determined by the First and Second Derivative Test, which consist on the following process:

1) First and second derivatives of the given function are obtained.

2) First derivative is equalized to zero and roots are found. (Critical points)

3) Each critical point is evaluated in the second derivative expression in order to determine if each point is an absolute maximum (f'' < 0) or minimum (f'' > 0).

The first and second derivatives of the function are, respectively:

[tex]f'(x) = -8.244\cdot x + 72.01[/tex]

[tex]f''(x) = -8.244[/tex]

Since first derivative is a first-order polynomial (linear function), there is a root, which is found herein:

[tex]-8.244\cdot x +72.01 = 0[/tex]

[tex]x = 8.734[/tex]

The second derivative indicates that critical value leads to an absolute maximum, therefore, the maximum amount spent on clothing and footwear occured in late 2008.

Answer:

Step-by-step explanation:

To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as

Volume = 1/3 × base area × height

Since the base is rectangular, base area = length × width = 3 × 5 = 15 m

Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is

1/3 × 15 × 3.6 = 18 m³

Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³

Step-by-step explanation:

Answer:

The first equation is correct

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Because he bought 6 items, x + y = 6.  Because a pencil costs 1 dollar and a pen costs 1.5 dollars, and Stefan spent 7 dollars, 1x+1.5y=7.

Hope it helps <3

Answer:  (1) D. BE ≡ AD

               (2) B. AAS Postulate

               (3) B. RF

Step-by-step explanation:

1) Place the letters underneath each other and match them up

                                 B A E

                                 D E A

∠B = ∠D                 ∠A = ∠E                ∠E = ∠A

BA ≅ DE                  AE ≅ EA              BE ≅ DA

2)

      ∠V = ∠Y              Angles are congruent (given)

∠VWZ = ∠YWZ        Angles are congruent (def of ∠ bisector)

     WZ = WZ            Sides are the same (reflexive property)          

ΔWZV ≡ ΔWZY      Angle-Angle-Side (AAS) Postulate

3)   F ∴__________________∴ R

     Segment FR = RF is between ∠F and ∠R

Explanation:

The distance around a full circle is equal to 2*pi*r = 2*pi*1.3 = 2.6pi

Cut this in half because we're dealing with a semicircle. So we go from 2.6pi to 1.3pi

This is exactly equal to pi times the radius.

Answer:

Number that fits in the green box is 4.

Step-by-step explanation:

Coordinates of a point P are (5, 4)

Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,

(x, y) → (y, -x)

By this rule, image of the point P(5, 4) will be,

P(5, 4) → P'(4, -5)

Therefore, number that fits in the green box will be 4.

Answer: (-4,5)

Step-by-step explanation:

i got it right ; )

Answer:

525%

Step-by-step explanation:

set 5 1/4 as a decimal.

5.25 then move decimal point two places to the right to get the percent

525%

Answer:

d

Step-by-step explanation:

Answer:

The correct answer is C

Step-by-step explanation:

As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.

Answer:

n=65th term

Step-by-step explanation:

AP:3,15,27,39......

From the AP

a=3

a+d=15

a+2d=27

3+d=15 (1)

3+2d=27 (2)

Subtract (1) from (2)

We have,

2d-d=27-15

d=12

54th term=a+(n-1)d

=3+(54-1)12

=3+(53)12

=3+636

=639

The term is 132 more than the 54th term

132+54th term

=132+639

=771

Find the term

771=a+(n-1)d

771=3+(n-1)12

771-3=12n-12

768=12n-12

768+12=12n

780=12n

n=780/12

=65

n=12

The term which is 132 more than the 54th term is the 65th term

Answer: b) The mixture has the intended number of pounds and costs more than the intended amount.

Step-by-step explanation: At the point D, there is an equal amount of milk and dark chocolate—they each have 25 pounds. This correlates with the equation of line b: x+y=50.   25+25=50

Since the variable y is the amount of Milk Choclate and the variable x is the amount of Dark Chocloate, the equation of line a: 4x + 2y = 130 can be used. So then you plug in the amount of milk chocolate as “x” and amount of dark chocolate “y“.         4(25) + 2(25) =150.

150 is not equal to 130, so even though it has the intended number of pounds, it costs $150 instead of $130, so it costs more than the intended amount

So be is the answer

Hope this helps:)

Answer:

G

Step-by-step explanation:

Looking at the confidential explaniation, 0.7 + 3.89 would be 4.59z

Answer:

-3

Step-by-step explanation:

x-6=3x

2x=-6

x=-3

The required number is -3 decreased by 6 equals 3 times.

A number to be determine when decreased by 6 equals 3 times the number.

it explores the numbers of operations according to the statements.

Let the number be x,
Now,
x-6=3x
x= -3

Thus, the required number is -3 decreased by 6 equals 3 times.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

28 units

Step-by-step explanation:

P= 4a

The perimeter of a square is divisible by 4 if side length is a whole number

From the given list only 28 is divisible by 4 so just guessing this is the one

Answer:  No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.

Step-by-step explanation:  

If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.

Changing to any other amount just gets farther away from the goal.

A system of equations yields no solution of integers.

x + y ==100

19x - 17y =101

You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!

Answer:

D

Step-by-step explanation:

The minimum value is the value of the y- coordinate of the vertex.

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = [tex]\frac{3}{4}[/tex] x² + 6x + 6 ← is in standard form

with a = [tex]\frac{3}{4}[/tex] , b = 6, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{\frac{3}{2} }[/tex] = - 4

Substitute x = - 4 into y and evaluate

y = [tex]\frac{3}{4}[/tex] (- 4)² + 6(- 4) + 6 = 12 - 24 + 6 = - 6

Thus minimum value = - 6 → D

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.

He divides his usable space into four congruent rectangular patches.

If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

Learn more about congruent triangles here:

https://brainly.com/question/16921692

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Answer:

6.598

Step-by-step explanation:

=> 6.5982

While rounding to 3 dps, we look at the digit in ten thousandths place. If it is greater than 5, we'll add 1 in the thousandths place but if it is smaller than 5, we won't add anything.

=> Here, the digit in ten thousandths place is less than 5. So, after rounding off to 3 dps the number becomes

=> 6.598

Answer:

6.598.

Step-by-step explanation:

The number listed has four decimal places. To have three decimal places, it must cut off the last number. Since the last number is less than five, we round down to make the answer 6.598.

Hope this helps!!

Answer:

$35

Step-by-step explanation:

There is no attached diagram, but despite this, the tip amount can be calculated, since we know the total value of the expense in the restaurant and the percentage of tips they want to give, therefore it would be the multiplication of the total by the percentage like this:

140 * 0.25 = 35

$ 35 would be the value of the tip

Answer:

35

Step-by-step explanation:

i took the test and got it right

Answer:

firsty,open the compass to the width of the original line to measure it. then use the straightedgeto find the length of the given line and then mark an arc above .in 3rd step use a straightedge to create two arcs above and below the original line lastly open the compass andmark two points of intersections between the arcs of given lines.

i think its all..

Answer:

Create a line that intersects the given line with your straightedge.

Step-by-step explanation:

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