Practice: Write and Evaluate Expressions - Practice --- Level
Which answer matches this description?
half of the difference of 25 and 7
* * (25 – 7)
3+ (25 – 7)
3 - (25 + 7)
* * (25+7)

Answer:

The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC

.Step-by-step explanation:

The measure of the angle is determined and the image is attached with the answer.

An angle is formed by two rays having a common end point.

The angle BAC is of certain measure.

To determine the value of the angle another angle is drawn in following steps

1. Draw a straight line XY

2. With an compass draw an arc of any length on BAC and on the new straight line XY  keeping tip of the compass on the end points A and X.

3. Measure the point at which the arc cuts the angle BAC from the point at which it intersects AC and with the same measure , keeping the point of the compass on the point where the arc intersected XY ,cut an arc on the arc.

4. The intersecting point Z of the arc is joint to X

5.The angle ZXY is measured , and this is the value of the angle BAC.

The image is attached with the answer.

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Answer:

a) A(x) =  360*x  -  3*x²

b) The Domain of the function is ( 0 : ∞ )

c) x  =  60 yards

   y  =  180 yards

c) A(max) = 10800 yd²

Step-by-step explanation:

Two rectangular corrals, with sides y and x  ( y is the side parallel to the river) having a river as one side of the corrals means:

L  length to be fenced

L = y + 3*x         360  =  y  +  3*x       y   =  360  -  3*x

The total areaof the two corrals as a function of x is

A(t)  =  x*y         as     y  =  360  -  3*x   by substitution we get

A(x)  =  x * ( 360  - 3*x)

A(x) =  360*x  -  3*x²

Tacking derivatives on both sides of the equation we get:

A´(x)  =  360  - 6*x          A´(x)  =  0     360   -  6*x  =  0

x  =  60 yards

and   y  =  360  -  3*x      y  =  360  -  180     y  =  180 yards

A(max) =  60*180  =  10800 yd²

To find out if the value x  =  60 is the x value for a maximum of A we go to the second derivative

A´´(x) =  - 6      A´´(x)  < 0  then there is a maximum value for function A in x = 60

The Domain of the function is ( 0 : ∞ )

9514 1404 393

Answer:

  (a) -7

Step-by-step explanation:

You are given f(x) = -3. Look for -3 in the f(x) column. (You will find it in the first row.)

You want the corresponding value of x. It will be in the first row of the x column. The value there is -7.

The value of x for f(x) = -3 is -7.

Answer:

Step-by-step explanation:

Answer:B

Step-by-step explanation:

This is the only possible answer trust me

Answer:

Find the volume of the cone, the answer i got was 37.68 but it asked to round so it should be 37.7

Hope this helps :)

Answer:

If we want to find volume of cone we must use this formule: πr²*high/3.

Step-by-step explanation:

let's solve step by step

firstly you know the radius is 3 and high is 4

if we accept π to 3. the answer is must be (3*3*4)/3 and finally the answer is 12 units³

Answer:

(a) 6cm

Step-by-step explanation:

Hope you have good grades and study well...btw make me as brainliest ty sweetie!

Answer:

Mean: 19

Median: 6

Step-by-step explanation:

Answer:

The correct answer is -

a. Amount Anton will spend for 3.5 m of cloth

b. 3.5 meters of cloth, 35.00 costs per meter.

c. Multiplication

d. 35.00 × 3.5/1 = N

e. P122.50 amount he will spend for 3.5 meters of cloth

Step-by-step explanation:

Solution:

A. in this question it is asked that how much it will cost Anton to buy the required cloth that is 3.5 meters cloth.

B. Given:

required cloth - 3.5 meters

price or cost of cloth per meter - 35 per meter

C. In this question multiplication will be used to get the answer so the operation would be - multiplication.

D. The number sentence is an equation to express inequality by using numbers and mathematical symbols, here the number sentence would be -

35.00 × 3.5/1 = N

E. The correct answer would be -

N = 35.00 × 3.5/1

= 122.5

Thus, the correct answer would be P 122.5.

9514 1404 393

Answer:

  (x, y) = (3, 1)

  2y +1 < x ≤ 5 -2y  where  y < 1

Step-by-step explanation:

a) We can add twice the second equation to the first to eliminate y.

  (2x +4y) +2(x -2y) = (10) +2(1)

  4x = 12 . . . . . simplify

  x = 3

  3 -2y = 1 . . . . substitute for x in the second equation

  2 = 2y . . . . . add 2y-1 to both sides

  1 = y . . . . . . divide by 2

The solution is (x, y) = (3, 1).

__

b) The solution for a set of inequalities is generally the intersection of two half-planes. It is not just one point. The solution space is usually represented graphically, but we can write inequalities that express it.

The first inequality tells us that both x and y will be on or below the boundary line, which will have negative slope.

The second inequality tells us x will be above the boundary line with positive slope, and y will be below it. If we consider the boundary lines to cross in an X shape, the solution space will be in the bottom quadrant. This suggests the area can best be represented by expressing x as a range of values in terms of y.

Solving each inequality for x, we get ...

  2x +4y ≤ 10   ⇒   x ≤ 5 -2y

  x -2y > 1   ⇒   x > 2y +1

These give us the compound inequality ...

  2y +1 < x ≤ 5 -2y

Of course, the relation between the limits must hold, so ...

  2y +1 < 5 -2y

  4y < 4 . . . . . . . add 2y-1

  y < 1 . . . . . . divide by 4

The solution is 2y +1 < x ≤ 5 -2y where y < 1.

_____

The graph shows the region that is the solution to the system of inequalities. The vertex point (3, 1) is not part of that region. (It does not satisfy the left boundary condition.) However, that point is the solution to the set of equations. It is where the boundary lines meet.

__

Additional comment

Above, we noted that the inequalities have boundary lines that intersect to divide the Cartesian plane into 4 parts. We called the intersecting lines an X shape. In general, if the solution space is in the left- or right-portion of this shape, the compound inequality defining the solution will be one that bounds y. If it is in the top or bottom of this shape, then the compound inequality will be one that bounds x (as in this problem).

A different generality may apply if the boundary lines have slopes of the same sign.

Answer: 81

Step-by-step explanation: 27 times 3 = 81

Answer: 81

Step-by-step explanation: 21 times 3

Answer:

The answer to your question is given below.

Step-by-step explanation:

Let the total number be U.

From the question given above, we were told that any number of B is 50% of the total number (i.e U).

Now, we shall determine the the total number (U) in terms of B.

50% of U = B

50/100 × U = B

50U / 100 = B

Cross multiply

50U = 100B

Divide both side by 50

U = 100B/50

U = 2B

Thus, the total number is 2B

Finally, we shall determine the answer to the question:

111 is 50% of ___

B = 111

Total number (U) = 2B

Total number (U) = 2 × 111

Total number (U) = 222

Therefore,

111 is 50% of 222

Answer:

<2, <3, <6, <7

Step-by-step explanation:

Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.

<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.

<2 = Is supplementary angle because it is a vertical linear pair with <4.

<3 = Is supplementary angle because it is horizontal linear pair with <4

<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.

<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.

<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.

<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.

Ugh... I really hope u understand, and don't think that I am blabbering.

Thank You

Please mark me as the brainliest

Answer: C

Explanation:

A is eliminated because of 3 and 24, 3^2 is 9 and 9 times 3 isnt 24

B is eliminated because of 1 and 6, 2 plus 3 is 5 not 6

C works for all the number sets

D is eliminated because of 1 and 6, again 3 plus 2 is 5 not 6

Answer:

0.624

Step-by-step explanation:

Number who have run a red light = 315

Number who haven't run a red light = 190

From the data :

The total number of people sampled = total possible outcome = (315 + 190) = 505

Selecting a person at random, probability that the selected person has run a red light :

P = required outcome / Total possible outcomes

Required outcome = Number who have run a red light = 315

P(having run a red light) = 315 / 505 = 0.624

Answer:

The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.

Step-by-step explanation:

From the boxplot Given ;

Town A :

The first quartile, Q1 = 15

Third quartile, Q3 = 30

The interquartile range, IQR = Q3 - Q1 = 30 - 15 = 15°

TOWN B :

The first quartile, Q1 = 20

Third quartile, Q3 = 40

The interquartile range, IQR = Q3 - Q1 = 40 - 20 = 20°

The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.

Answer:

5.01

Step-by-step explanation:

Reference angle (θ) = 24.3°

Length of side Opposite to reference angle = 2.06

Let the side length (Hypotenuse) we're looking for be represented as x

Apply SOH:

Sin θ = Opp/Hyp

Substitute the values into the equation

Sin 24.3° = 2.06/x

Multiply both sides by x

x × Sin 24.3° = 2.06/x × x

x × Sin 24.3° = 2.06

Divide both sides by Sin 24.3°

(x × Sin 24.3°)/Sin 24.3° = 2.06/Sin 24.3°

x = 5.01 (nearest hundredth)

Answer:

[tex]{ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14[/tex]

Answer:

x=3

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x           4

----- = -----------

4.5        6

Using cross products

6x = 4.5 * 4

6x =18

Divide by 6

6x/6 = 18/6

x = 3

Answer:

$1281.1

Explanation:

Unit selling price is total cost plus markup(percentage profit on total cost price)

Assuming overhead is already apportioned to each product at $585 each

Total cost:

Labor 15hrs at $26/hr=15×26=$390

Overhead 150% of labor=150%×390=$585

Material Costs= $89

Packing Costs= 10%×390= $39

Subcontract Cost= $11

Sales Commission= 5% of selling price=$55.7

Total cost = $1169.7

Profit =10% of selling price= $111.4

Selling price =total cost + profit

= $1281.1

Answer:

Table A

Step-by-step explanation:

y  = 3x^2 +2x -8

The quadratic is in the form

y = a x^2 +bx+c

a = 3  b = 2 c = -8

Since a > 0 it opens up

The y intercept is c so the y intercept is -8

Answer:

4.7

Step-by-step explanation:

the median is the middle number in a set of numbers so first we need to put them in order

1.9 3.4 [4.7] 6.5 7.6

this one is easy since we have an odd number of digits

the answer is 4.7

Answer:

7

Step-by-step explanation:

refer to solution in picture

Answer:

190 in²

Step-by-step explanation:

Cut the shape into simpler ones:

A=6 x 6= 36 in²

A=7x22= 154 in²

A=36 + 154= 190 in²

Answer:

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Step-by-step explanation:

Quantitative data is supported by the empirical value in the form of counts or numbers, where each data set is attached with a particular numerical value.  Qualitative data describes and can be expressed as the number of the subject.

For the class:

For the Time:

Learn more:

brainly.com/question/555216

Answer:

9 basketballs

15 footballs

Step-by-step explanation:

The number of basketballs will be y.

The number of basketballs will be y + 6.

y + y + 6 = 24

2y + 6 = 24

2y + 6 - 6 = 24 - 6

2y = 18

2y ÷ 2 = 18 ÷ 2

y = 9

y + 6

9 + 6 = 15

Answer:

Number of black balls=2

Total number of balls=3

Probability =2/3

Answer:

87,010 cents is the SP.

Step-by-step explanation:

MP = $1400

VAT = 13%

Discount = 45%

so,

discount amount = 45% of MP

= 45% of $1400

= 45/100 * $1400

= 9/20 * $1400

= 9* $70

= $630

so,

MP - discount amount

= $1400 - $630

= $770(SP)

so,

VAT amount = 13% of SP

= 13% of $770

= 13/100 * $770

= $100.1

so,

SP + VAT

= $770 + $100.1

= $870.1

so,

$1 = 100 cents

$870.1 = 100*870.1

= 87,010 cents

Answer:

168hrs in division terms of every 1 year x 7 etc...

It will always be 24hrs nothing changes set of units to same units.

However because the equivalent to a same length of life as human is 1/7 we can do the reciprocal = 7 and do 24 x 7 = 168 hrs, but as many younger and healthy dogs eat and sleep the same as humans then equivalent would be not a good way to compare a dogs life.

Longer life breeds like Labrador or mixed breed dogs if walked at least 4 times a day and away from other dogs and all day young kids can live older than 20 and have actually be more compared to 4-5 years and so the comparison would be like 96 hrs or 120 hrs, but hours stay 24 a day for all animals as units don't change same units. Day represents a day and a year represents sun rise to sun fall to sun rise again x 365.