what is 52 + 6 × (5 − 3) − 10⁄2 =

Answer:

30 miles is the actual distance.

Step-by-step explanation:

3 3/4 = 15/4

15*2=30

Answer:

Step-by-step explanation:

A pack of sugar costs £1.25 for 500g. How much for 1kg?

500g = 1/2Kg or 0.5 Kg

so 1.25£ is 0.5Kg (1/2)

1.25 * 2 = 2.50£ is your answer

Answer:

2.5

Step-by-step explanation:

Change 500g into kg

500g=500/1000kg

        =0.5kg

If                  0.5kg cost 1.25

what about 1kg

   = (1*1.25)/0.5

   = 1.25/0.5

   =2.5

Answer:

c = 25.35

Step-by-step explanation:

Comment

Cost (c) = skate rental + time + miscellaneous

Givens

Answer

Cost = 6.35 + 18.00 + 1

Cost = 25.35 , but 24.35 is an hourly charge,

f(p) = 3p - 2

f(2) = 3(2) - 2

f(2) = 6 - 2

f(2) = 4

Therefore, the answer is 4, so option C :)

I assume [[x]] stands for "the largest integer smaller than or equal to x".

If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.

Answer:

$882.75

Step-by-step explanation:

825 x 7% = 57.75 <- thats the price of the tax

57.75 + 825 = 882.75

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

Answer:

Step-by-step explanation:

Answer:

XY = 6

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 XY = 12 ( divide both sides by 2 )

XY = 6

The length of the side XY in ΔXYZ is 6 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

In reference to the angle of 30° opposite side is XY and the hypotenuse is 12 units.

We know, sin = opposite/hypotenuse.

Therefore, sin30° = XY/12.

1/2 = XY/12.

XY = 12/2.

XY = 6 units.

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Cooper left his dinner server a 19% tip.

To find the percent tip, we need to first subtract the cost of the meal from the total amount paid, which will give us the tip amount:

Tip amount = Total amount paid - Cost of the meal

Tip amount = $33.32 - $28

Tip amount = $5.32

Now we can calculate the percentage of the tip by dividing the tip amount by the cost of the meal and multiplying by 100:

Percent tip = (Tip amount / Cost of the meal) x 100

Percent tip = ($5.32 / $28) x 100

Percent tip = 0.19 x 100

Percent tip = 19%

Therefore, Cooper gave a 19% tip on his dinner.

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Answer:

7x² + 5x - 9

Step-by-step explanation:

(9x + 1) - (- 7x² + 4x + 10) ← distribute parenthesis by - 1

= 9x + 1 + 7x² - 4x - 10 ← collect like terms

= 7x² + 5x - 9

By direct observation on the graph and concept of relative minimum, we conclude that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).

Let be f a function that exists in a interval [a, b], there is a value c such that f(c) < f(x), for x ≠ c and x ∈ [a, b]. In this case, f(c) is the relative minimum of f. By direct observation, we find that the relative minimum of the graph is contained by the point (x, y) = (3, - 17).

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Answer:

400 calories

Step-by-step explanation:

A bran muffin has around 380 calories, when rounded off it is 400 calories.

Hope I helped

Answer:

A. 400 Calories.

Step-by-step explanation:

Look it up on the net.

If this is wrong, it is because there wasn't enough information given.

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            [tex]\sf \boxed{\bf \angle 1 = 52^ \°}[/tex]

AB // CD and AC is transversal.

 [tex]\sf \boxed{\bf \angle 3 = 38^\circ}[/tex]   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      [tex]\sf \boxed{\bf \angle 2 = 79^ \°}[/tex]

Answer:

hes a titan

Step-by-step explanation:

2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]

3) Substitution property

4) Combine like terms

Answer:

False

Step-by-step explanation:

Beacuse the equation is 4+2>5 with equals 7

Answer:

x = 4 ...In the equation, substitute 4

4 + 2 > 5

6 > 5

(This sign > means greater than)

(This sign < means less than)

In this case of the equation, 6 > 5, it's True

Using it's concept, it is found that the probability that the first three balls are drawn out of the box alternated in colour is of 0.1541 = 15.41%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering the situation described, the ways that alternate colored balls can be taken, and their probabilities, are given as follows:

Hence the probability is given by:

[tex]p = \frac{5}{11} \times \frac{3}{9} \times \frac{5}{11} + \frac{3}{8} \times \frac{5}{10} \times \frac{5}{11} = 0.0689 + 0.0852 = 0.1541[/tex]

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Answer:

y = -x +2

Step-by-step explanation:

Equation of a line in slope-intercept form :

   y = mx + b    where m = slope and 'b' is the y-axis intercept

y = -x-2    is in this form.....  slope m = -1      b = -2

   the parallel line will have the same slope = -1 and will look like

        y = -x + b

       to calculate the value of 'b' for this line, substitute in the point given:

             -2 = - (4) + b      shows b = 2

  so your line becomes   y = -x + 2

Answer:

  y =-x + 2

Step-by-step explanation:

    Parallel lines have same slope.

     y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

            -2 = -4 + b

          -2 + 4 = b

              [tex]\sf \boxed{b = 2}[/tex]

Equation of the required line:

            [tex]\sf \boxed{\bf y = -x + 2}[/tex]

Answer:

0,5                    b

Step-by-step explanation:

Answer:

a=9

b=-6

Step-by-step explanation:

Fold tracing paper so that the line segment's endpoints line up with each other ,  Option D is the correct answer.

A perpendicular is a line drawn at 90 degree to a given line or line segment .

Fold tracing paper so that the line segment's endpoints line up with each other.

After drawing a line segment ,

when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.

Therefore,  Option D is the correct answer.

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Answer:

The correct answer is C.

Step-by-step explanation:

Fold tracing paper so that the line segment's endpoints line up with each other.

Answer:

3  1/2

Step-by-step explanation:

Put '3' where 'y' is and compute :

[12 -3(3) ] / 2   + 3 [ (2(3)-4 )/3) =

   3/2              +   2  

    =   3  1/2

Answer:

see below

Step-by-step explanation:

Acid in = acid out             acid out = 10 liters of 20% = .2 * 10 = 2

x = 5% amount

10-x = 40% amount

.05x  + .40 ( 10-x) =   .20 (10)

.05x + 4 - .4x = 2

-.35x = -2

x = 5.7 liters   of 5 %        10 - 5.7 = 4.3 liters of 40%

Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

Answer:

30

Step-by-step explanation:

Area of a triangle = (base length × height)/2

Given base length = 5 and given height = 12

So area = (5×12)/2

==> multiply 12 and 5

Area = (60)/2

==> divide 60 by 2

Area = 30

Step-by-step explanation:

please mark me as brainlest

Answer:

3

Step-by-step explanation:

bc im vary smert

Answer:

15

Step-by-step explanation:

Start by factoring each number into primes.

30  =  2 · 3 · 5

60  =  2 · 2 · 3 · 5

75  =  3 · 5 · 5

Look for prime numbers used in all three factorizations and include these common primes in the greatest common factor (GCF).

Since 3 is used at least one time in all three factorizations, the GCF will contain one 3.

Since 5 is used at least one time in all three factorizations, the GCF will contain one 5.

Therefore, the GCF Fireside Flowers can use to divide the flowers into equal groups is 3 · 5 = 15.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

first ,let’s calculate the number of bags made by the company that have both buttons and zips :

150-(43+38+34)

=35

a bag that has buttons : either has buttons but no zips  or  has both buttons and zips

Then

The number of the bags that have buttons is :

43+35 = 78

………………………

Conclusion:

the probability that the bag has buttons is :

[tex]=\frac{75}{150} = \frac{1}{2}[/tex]

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Answer:  [tex]\textsf{y = 5/7x + 51/7}[/tex]

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

Given: [tex]\textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}[/tex]

Find:  [tex]\textsf{Write an equation that follows that criteria}[/tex]

Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7.  We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.

Plug in the values

Distribute

Add 8 to both sides

Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.