Evaluate the expression for x= 3 and y= 6.
51x² + y + 3​

Answer:

[tex]8 \times \frac{15}{5} - (5 + 9) \\8 \times 3 - (14) \\ 24 - 14 \\ = 10[/tex]

I hope I helped you^_^

Answer:

Option (2)

Step-by-step explanation:

In the given circle,

[tex]m(\widehat{CBD})+m(\widehat{CED})[/tex] = 360°

Therefore, 212° + [tex]m(\widehat{CED})[/tex] = 360°

[tex]m(\widehat{CED})=360-212[/tex]

               = 148°

Tangent - chord theorem states,

"Angle between a chord and tangent measure the half of the angle measure of the intercepted minor arc."

m∠ACD = [tex]\frac{1}{2}(\widehat{CED})[/tex]

              = [tex]\frac{1}{2}(148)[/tex]  

              = 74°

Therefore, measure of ∠ACD is half the measure of arc CD or 74°.

Option (2) will be the correct option.

One example is that you're given blueprints and you want to find out how large the object is in real life, rather than just on paper. The scale factor will help find those real life measurements. Let's say a house on paper is 2 inches long, and also let's say the scale factor is labeled "1 inch = 20 feet". This means the real life house is 2*20 = 40 feet long.

You could think of it as 1 inch = 20 feet, so 2 inches = 40 feet (multiply both sides by 2).

Scale factors are also used in maps. Look at the bottom corner of any map and it will show you how each distance on paper corresponds to a real life distance (in miles or kilometers maybe). Usually it shows a checkered "ruler" of sorts.

Answer:

  everyday living

Step-by-step explanation:

Scale factors are involved in virtually every aspect of the logistics of everyday life. Scale factors of number of units, price per unit, and tax rate are applied to every shopping experience. Scale factors of miles per gallon, or daily rate, or number of travelers are applied to most travel experiences. Scale factors of number of people and/or serving size are applied to food planning--even when ordering pizza.

Scale factors are involved in virtually every aspect of engineering, from specifying or estimating a job, to scheduling, material choice, purchase, and application. Sometimes, these are "rules of thumb", and sometimes they are based on careful calculation.

Much of modern technology is based on the observation that computing power doubles every 2 years or so--a scale factor consistently seen for more than 50 years. This has informed systems planning in many different industries.

Answer:

1252

Step-by-step explanation:

We're assuming that the same amount of cupcakes were sold each day.

2087/5 = 417.4

417.4 x 3 = 1252.2

Since we can't sell fractions of a cupcake, 1252 were sold on Thursday.

Answer:

a = 15/2, b = 2/5

Step-by-step explanation:

For a system of two linear equations to have infinitely many solutions, the equations must be equivalent to one another.  

Assuming a and b to be constants, and since b is absent from equations, there must be a typo where b was mistaken for a 6.

Modified equations:

2a - 15x + 3y - 5 = 0 ...................(1)

3x + (b - 1)y - 2 = 0 .....................(2)

rearrange equations to standard form:

-15x + 3y + 2a-5 = 0  .................(1a)

3x + (b-1)y -2 = 0 ........................(2)

To equalize the coefficient of x, multiply (2) by -5

-15x - 5(b-1) y +10 = 0  ................(2a)

Subtract (2a) from (1a)

3y + 5(b-1)y + 2a-5 -10 = 0  ..............(3)

For the two equations (1a) and (2a) to be identical, coeffients of y and constant term of (3) must equal zero.

3+5(b-1) = 0   .................(4)

3+5b-5 = 0

5b = 2

b = 2/5

2a-5-10 = 0 .....................(5)

a = 15/2

9514 1404 393

Answer:

  no feasible solutions

Step-by-step explanation:

There are so many inequalities that determining the area covered by all 5 of them is problematic. Hence, we have reversed all of them in the attached graph, so any feasible solution region would remain white. Alas, there is no such region.

This system of inequalities has no feasible solution.

Answer:

  c)  x/h

Step-by-step explanation:

The rate of filling is 1 tank per h hours, or 1/h tanks per hour. Then in x hours, the amount of filling will be ...

  (x hours)(1/h tanks/hour) = x/h tanks

The part of the tank filled in x hours is x/h.

Answer:

B) twice v

Step-by-step explanation:

because if there is no any sign between a number and a variable then you know that there is sign of multiplication

Answer:

600

Step-by-step explanation:

Volume of cuboid = l x w x h

length = 12

width = 10

height = 5

12 x 10 x 5 = 600 yd^3

answered by g a u t h m a t h

Step-by-step explanation:

As we can say that,

diameter=10 cm

to find radius ,

radius =diameter/2

5cm

now, we can say

Area of semi circule= 1/2 ×3.14 ×5^2

=3.14 ×25/2

= 39.25 cm^2

also,Length =14 cm now,

area of square= l^2

=14×14

196cm^2

now ,total area of figure =196+39.25=235.25cm^2

therefore, total area is 235.25cm^2

Answer:

x=3

Step-by-step explanation:

5/2 ( 3x-1) = 20

Multiply each side by 2/5

2/5 ( 5/2 ( 3x-1) )= 20 *2/5

3x-1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x = 9

Divide each side by 3

3x/3 = 9/3

x =3

Answer:

The period of the function y = 2×tan x is π

Step-by-step explanation:

The tangent function, generally has a period of π radians such that a cycle of the tangent function is completed every π radians

Therefore, where a required number of periods is required to be completed within the π radians range, the number is used to multiply the trigonometric function[ parameter.

From the question, we have;

y = 2×tan x

Which gives the multiplier of the variable x as 1

Therefore, the period of the function y = 2×tan x is π.

Answer:

32 female - 23 right-handed || 9 left-handed

22 male - 18 right handed || 4 left handed

Step-by-step explanation:

I find it easiest to write all the information out and fill the gaps.

From what we're given, 32 employees are female, that means 22 are male, as 54 - 32 = 22.

We are also given that there are 41 right-handed employees, which means there is 13 left-handed employees by subtraction.

If 18 of the right-handed employees are male, then 23 of them are female, and  4 are left-handed males.

If 23 of the female employees are right-handed, then 9 female employees are left-handed.

It's quite simple if you write everything out :D

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

Answer:

3−42+7+16

Step-by-step explanation:

if its simplify

Answer:

-20

Step-by-step explanation:

-8v-9=7

Add 9 to each side

-8v-9+9=7+9

-8v = 16

Divide by -8

-8v /-8 = 16/-8

v = -2

Now find

7v -6

7(-2) -6

-14 -6

-20

Answer:

negative 20?

Step-by-step explanation:

I tried to remember what I learned about a year ago...

Answer:

1. multiplication

2. division

3. bracket

4. division

5. bracket

6. division

Answer:

b) is the correct option

Answer:

< PRS and < PRT are congruent supplementary angles.

Step-by-step explanation:

the ''math student'' was wrong. When two lines form to create a 90 degree angle (right angle) they are perpendicular. Angles can be perpendicular. BUT

  Supplementary angles are two angles that measure up to 180 degrees.

Hope this helps!

Answer:

Congruent adjacent angles that form a linear pair are right angles.

Step-by-step explanation:

Congruent adjacent angles that form a linear pair are right angles.

Answer:

333

Step-by-step explanation:

Let a represent Alice's numbers and p represent Pat's numbers.

Alice wrote three consecutive even numbers. The sum of the three is 252. This means:

[tex]a+(a+2)+(a+4)=252[/tex]

The first term is even. Each consecutive even term is two more than the previous term. Simplify:

[tex]3a+6=252\\3a=246\\a=84[/tex]

In other words, Alice's first number was 84.

Pat wrote three consecutive odd numbers. His numbers were larger than Alice's numbers. Similar to Alice, we can write:

[tex](p+1)+(p+3)+(p+5)=x[/tex]

The first term is odd. Each consecutive odd term will be 1 more, then 3 more, then 5, etc. We want to find Pat's sum, or x.

We are told that the difference between the largest of Pat's and Alice's  numbers is 25. Therefore:

[tex](p+5)-(a+4)=25[/tex]

Simplify. Substitute a. Solve for p:

[tex]p-a+1=25\\p-84=24\\p=108[/tex]

Therefore, Pat's sum is:

[tex](108+1)+(108+3)+(108+5)=333[/tex]

Answer:

Step-by-step explanation:

Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}.  note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;

If 2<x ≤ 9 then 2<x and x≤9

If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.

Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.

Since the set T =  {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.

Hence n()n(T) = 7 (since there are 7 elements in the set T)

Answer:

96% Davided by a 100.

Step-by-step explanation:

96/100

= 0.96

Answer:

12

Step-by-step explanation:

3a+2b

Let a =2 and b=3

3(2) + 2(3)

6 + 6

12

Answer:

52 / 5424 = 0.00958..

198 / 8549 = 0.0231 ..

Step-by-step explanation:

52 / 5424

First of all, you need to add 0 plus a coma → 0.

52 becomes 520, but this value is smaller than 5424, so we need to add another 0

5200 → another 0 → 52000

So now, we have 52000 / 5424.

We start,  5424 . 10 = 54240, we are higher than 52000, so let's try 9

5424 . 9 = 48816, great!

52000 - 48816 = 3184

This is smaller than 5424, so we need a zero, again. But we do not add 0 to the result, because we are in the decimal side

31840 → 31840 / 5424. We would try 6,

5424 . 6 = 32544. It's bigger!, We use 5

5424 . 5 = 27120!

31840 - 27120 = 4720. We get another 0

47200, and we try 8.

5424 . 8 = 43392

47200 - 43392 = 3808.

So we are going to add 0, until we have four digits that can be divided by 5424 and decimals are infinte.

52 / 5424 = 0.00958..

198 / 8549 → Need to add, the first 0 to convert 198 to 1980

1980 = 0. → Another zero

19800 = 0.0 → 19800 / 8549

We try 2 → 8549 . 2 = 17098

19800 - 17098 = 2702 → we add 0

27020 / 8549 → We try 3

8549 . 3 = 25647 → 27020 - 25647 = 1373 → we add 0

13730 / 8549 → We use 1 → 13730 - 8549 = 5181

As decimal are infinite, we can express the result as:

198 / 8549 = 0.0231 ..

Answer:

0.7

Step-by-step explanation:

7/11 = 0.63636363

7/9 = 0.777777778

so a decimal between them will be, 7/10 = 0.7

Answer:

x= 0, and x=4

Step-by-step explanation:

x² -x  = 3x, we can subtract 3x from both sides

x² -x -3x = 0, combine like terms

x² -4x = 0 , factor x

x *( x-4) = 0, if the product of 2 numbers equals 0 at least one is 0

x=0 and

x-4 = 0, add 4 to both sides

x= 4

Answer:

x=4  simple thing with all problems like this, is if it has a exponent, then half the exponent and add it to the numerical digit on the right of the equals sign, and you have you answer

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

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

x = -6/2

x = -3

-3 is your answer for x.

~

Answer:

b = -3

Step-by-step explanation:

7b-27=8(6+4b)

Distribute

7b -27 = 48 + 32b

Subtract 7b from each side

7b-7b-27=48+32b-7b

-27 = 48+25b

Subtract 48 from each side

-27-48 = 48+25b -47

-75 = 25b

Divide each side by 25

-75/-25 =25b/25

-3 =b

Answer: b= -3

Step-by-step explanation:

[tex]7b-27=8\left(6+4b\right)[/tex]

distribute

[tex]7b-27=48+32b[/tex]

add 27 to both sides

[tex]7b-27+27=48+32b+27[/tex]

[tex]7b=32b+75[/tex]

subtract 32b on both sides

[tex]7b-32b=32b+75-32b[/tex]

divide -25 on both sides

[tex]-25b=75[/tex]

[tex]b=-3[/tex]

Answer:

D

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 4 = 12 parts

Mango has 5 parts and there are 35 bottles of mango , so

35 ÷ 5 = 7 ← value of 1 part of the ratio

In total there are 12 parts, then

total bottles = 12 × 7 = 84 → D

Answer:

a. 9

b. 9.

Step-by-step explanation:

a) √1098 = 33.136

33^3 = 1089

So the answer is 1098 - 1089

= 9.

b) √4498 = 67.067

67^2 =  4489

Answer = 9.

Answer:

a). 9

b). 9

Step-by-step explanation:

a) If you try to subtract 1 to 8 from 1098, it won't make a perfect square. But if you subtract 9 from 1098 (that will make it 1089), it will make a perfect square.

√1089 = 33

33² = 33 × 33 = 1089

So the answer is 9.

b). If you try to subtract 1 to 8 from 4498, it won't make a perfect square. But if you subtract 9 from 4498 (that will make it 4489), it will make a perfect square.

√4489 = 67

67² = 67 × 67 = 4489

So the answer is 9.

Hope you understand ◉‿◉ (◠‿◕)