Solve for a. √a-b+c=3 A. a=3+√b-√c B. a=9+b-c C.a=9+√b-√c D. a=3+b-c​

Answer: 80

Step-by-step explanation:

set the 4 numbers to be x,x+2,x+4,x+6

They add up to 332 so the equation would be

x+(x+2)+(x+4)+(x+6)=332

4x=320

x=80

the rest of the numbers are 82,84,86

smallest is 80

There are 45 defective cars if 1,500 cars are tested.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

During a test, 3 out of 100 cars selected at random were found to be defective.

Now,

Since, During a test, 3 out of 100 cars selected at random were found to be defective.

Let number of defective cars if 1,500 cars are tested = x

So, By definition of ratio, we get;

⇒ 3 / 100 = x / 1,500

Solve for x as;

⇒ 3 × 1500 / 100 = x

⇒ 3 × 15 = x

⇒ x = 45

Thus,  There are 45 defective cars if 1,500 cars are tested.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

The base of the original triangle is 12 centimetres.

A triangle is a polygon with three sides. The perimeter of a triangle is 58 cm. The triangle is isosceles.

An isosceles triangle is a triangle with 2 sides equal to each other and two angles equal to each other.

Therefore, let's find the base of the original triangle when the base were lengthened by 4 cm and each leg were shortened by 7 cm,

Hence,

let

x = length of legs

y = length of the base

Therefore,

2x + y = 58

Hence,

y + 4 = x - 7

x - y = 11

2x + y = 58

x - y = 11

3x = 69

x = 69 / 3

x = 23

-y  = 11 - 23

-y = -12

y = 12

Therefore,

base of the original triangle = 12 cm

learn more on triangle here: https://brainly.com/question/10307980

#SPJ1

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

Answer: 5 days.

Step-by-step explanation: To solve this problem, we first need to convert 1 7/10 bags of tortillas to a decimal number. We can do this by dividing the numerator of the fraction (7) by the denominator (10) and adding the result to the whole number (1) to get 1 + 7/10 = 1.7 bags of tortillas.

Next, we can divide the number of bags of tortillas that Garrett's burrito stand uses per day (1.7 bags) into the total number of bags of tortillas that are available (8.5 bags) to find out how many days the tortillas will last: 8.5 bags / 1.7 bags/day = 5 days

Therefore, the 8 1/2 bags of tortillas will last for 5 days.

Answer:38.5

Step-by-step explanation:

308/8 =38.5

Answer: 8ft

Step-by-step explanation:

the length of the room is 8fr

Answer: D

Step-by-step explanation:

The parent function abs(x) is a V, similar to graph B.

When it is multiplied by a negative number then it reflects across the Y axis, and if the number is greater than 1, then the graph is horizontally compressed (like you're squishing the sides together, closer to each other).  If the number is less than 1, either decimals or a fraction, then it is stretched (like you are pulling the sides away from each other and they are getting wider).  

In this case you are multiplying abs(x) by 4, which is greater than 1 so it is compressed by a factor of 4, and then multiplying it by a negative, which reflects it across the y axis.

Correct answer is:

27

Answer:

There would be 27 ounces of flour

Step-by-step explanation:

The ratio is 7:3 for sugar to flour.

I divided the 63 ounces of sugar by 7 to earn 9

Now, I multiplied 9 by 3 to get 27

Now thee ratio is 63:27

If you divide 7 and 3 you will get 2.3 repeating

If you divide 63 and 27 you will also get 2.3 repeating

Hope that makes sense! ;)

Answer:

B and D

Step-by-step explanation: I got it right

The ordered pair (-1, -7) is the solution to the equation 7x - 5y = 28.

The collection of variable values in linear equations that yields all feasible solutions is referred to as the solution of a linear equation. In order to describe real-world issues, linear equations contain unknown values in the form of one or more variables. The collection of values for each variable in a system of linear equations is referred to as the solution set.

Consider the equation,

7x - 5y = 28

Now put the values from options, the pair values at which LHS = RHS that will be the solution to the equation.

Put x = 77, y = 9 in the equation

7(7) -5(9)

= 49 - 45

= 4

This is not a solution.

Put x =4, y= 10

7(4) - 5(10)= 28 - 50

= -32

This is not a solution.

Put x= -1, y = -7

7(-1) - 5 (-7)

= -7 + 35

= 28

So, this is the solution to the equation as LHS = RHS

To know more about solutions to linear equations, visit:

https://brainly.com/question/4145514

#SPJ1

Answer:

C. the ordered pair (1.5, 10)

Step-by-step explanation:

The distance between the two points P(-5, 7) and Q(6, 7) is 11 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is,

D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Two points are given P(-5, 7) and Q(6, 7).

∴ D = [tex]\sqrt{(6 + 5)^2 + (7 - 7)^2[/tex].

D = [tex]\sqrt{(11)^2[/tex].

D = 11 units.

learn more about the distance between points here :

https://brainly.com/question/15958176

#SPJ1

Answer:

Step-by-step explanation:

443

Answer:

Step-by-step explanation:

5 1/4

Answer:là

5

với số dư

1

.

5

1

4

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

First, we want to deal with the parenthesis within the parenthesis.

(4.6/2) = 2.3

Rewrite it into the equation.

[3 * 2.3] + 14.1 = ?

Now, do the work in the parenthesis again.

[6.9] + 14.1 = ?

There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.

6.9 + 14.1 = 21

? = 21

The answer is 21.

Step-by-step explanation:

Here you are the answer.

Answer: -1001, -1002

Step-by-step explanation:

The probability of advancing five spaces is 3/13 and the odds against is 13 : 6

The board game

From the question, we have the odds to be

Odds in favour = 3/10

This can be rewritten as

Odds in favour = 3 : 10

For an odd represented as a : b, the probability is

Probability = a/a + b

Using the above as a guide, we have

Probability = 3/13

The box of candies

From the question, we have the probability to be

Probability = 6/19

For a probability represented as a/b, the odds against is

Odds = b - a : a

Using the above as a guide, we have

Odds = 19 - 6: 6

Evaluate

Odds = 13 : 6

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

5(-4a -7) = -20a -35

Step-by-step explanation:

The number of each type of shirt ordered are as follows;

Old Navy had $940 worth of orders for shirts.

The prices for the shirts were categorized by style: $10 for tank tops, $14 for graphic tees, and $22 for polos.

The number of polos ordered was one more than half the number of graphic tees, and the number of graphic tees ordered was eight less than twice the number of tank tops.

let

x = number of graphic tees

Hence,

number of polos = 1 + 1 / 2 x

Number of tank tops = 1 / 2 x + 4

Therefore, the total

14x + 10(1 / 2 x + 4) + 22(1 + 1 / 2 x) = 940

14x + 5x + 40 + 22 + 11x = 940

30x + 62 = 940

30x = 878

x = 29.266667

x = 29

number of polos = 1 + 1 / 2 (29) ≈ 15

Number of tank tops = 1 / 2 (29) + 4 ≈ 19

learn more on equations here: https://brainly.com/question/9182891

#SPJ1

Answer: r = 12

Step-by-step explanation:

11 - 23 = 12

YOUR SO WELCOME!!! :D

Answer:

Volume = 282.6 ft.²

Step-by-step explanation:

Volume: V = πr²h

Step 1: The answer needs to be in cubic feet, so convert all units to feet

    1. 3 ft./12 in. = 0.25 ft.

Step 2: Subtract 0.5 ft from 6.5 ft to find the actual diameter of the pipe that the water will be passing through

    2. 6.5 ft. - 0.5 ft. = 6 ft.

Step 3: Plug 3 ft. (radius), 3.14 for π, and 5 ft for h

    3. V = (3.14)(3 ft.)²(5 ft.)

Step 4: Solve for the V (volume)

    4. V = (3.14)(9 ft.)(5 ft.) → V = (28.26)(5) → V = (28.26)(5) → V = 141.3 ft.²

Step 5: Divide 141.3 by 2, since we want half the capacity

    5. 141.3 ft.²/2 = 70.65 ft.²

Step 6: Multiply 70.65 by 4 since we want the total volume of water passing through four pipes

    6. 70.65 ft.² ∙ 4 = 282.6 ft.²

Answer:

x = 5

TS = 17

QT = 17

Step-by-step explanation:

The tick marks show us that line segment QT is equal to TS.

QS = QT + TS  and QT and TS are the same length

34 = 2(3x + 2)  Distribute the 2

34 = 6x + 4  Subtract 4 from both sides

30 = 6x  Divide both sides by 6

5 = x

Substitute in 5 for x

3x + 2

3(5) + 2

15 + 2 = 17

TS is 17

QT is 17

Answer:

see instructions

Step-by-step explanation:

1. (x + 2) = 0  gives us x = -2 = x coordinate of vertex; and

  the -1 at the end gives us the y coordinate.

  Move the vertex of the parabola to the point (-2,-1)

2. The -4 in front of the (x+2)² gives the direction and stretch of the parabola. FROM the Vertex, position the other point Down 4 and Right 1 (at (1,-5)).

Answer:

3.06 meters

Step-by-step explanation:

The first thing you want to do, since we are working with different units here, is find out how many centimeters make a meter... and so on.

1cm = 0.01m

1mm = 0.001m

123cm = 1.23m (Dressing table)

410mm = 0.41m (Cupboard door)

Now all we need to do is subtract.

We can add the two numbers together or (If you prefer) subtract separately.

1.23 + 0.41 = 1.64

Now subtract that number from the measurement of the wall:

4.7 - 1.64 = 3.06

The amount of space left is 3.06m.

Answer:

Irrational

Step-by-step explanation:

A rational number can be expressed as p/q where p and q are integers

3.04 is rational since it can be expressed as 304/100

√20 is not rational. √20 = √(4·5) = √4·√5 = 2√5
While 2 is a rational number, √5 is irrational since 5 is a prime number and square roots of primes are not rational

An irrational number multiplied by a rational number is irrational so √20 is irrational

An irrational number added to a rational number results in an irrational number.

So 3.04 + √20  is irrational

Answer:

-4

Step-by-step explanation:

3x+15+2=5

3x=-15-2+5

3x=-12

x=-12/3

x=-4

Answer:

x=-4

Step-by-step explanation:

Given:

[tex]3(x+5)+2=5[/tex]

To find:

The value of x.

Explanation:

It is given that,

[tex]3(x+5)+2=5[/tex]

That implies,

[tex]3(x+5)+2=5\\3x+15+2=5\\3x+17=5\\3x=5-17\\3x=-12\\x=-\frac{12}{3} \\x=-4[/tex]

Hence, the value of x is -4.

Answer:

show the choices please.

Step-by-step explanation: