Divide 7560 in the ratio 4 : 5

Answer: 42

Step-by-step explanation:

Example:

Solve x + 7 < 15

Solution:

x + 7 < 15

x + 7 – 7 < 15 – 7

x < 8

Inequalities Of The Form “x – a < b” or “x – a > b”

The solution of the inequality 1 1/8 + b ≥ 7/16 will be;

⇒ - 11/16 ≤ b

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 1 1/8 + b ≥ 7/16

Now,

Solve the inequality as;

The inequality is,

⇒ 1 1/8 + b ≥ 7/16

Solve for b as;

⇒ 9/8 + b ≥ 7/16

Subtract 9/8 as,

⇒ 9/8 + b - 9/8  ≥ 7/16 - 9/8

⇒ b ≥ (7 - 18) / 16

⇒ b ≥ - 11/16

⇒ - 11/16 ≤ b

Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;

⇒ - 11/16 ≤ b

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Answer:

3x + 17 < 47 solving for x = x<10

43<8x-9 solving for x = x = 13/2

Answer:

D. The quotient of a difference and a number

Step-by-step explanation:

its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)

Answer:

C!!!!

Step-by-step explanation:

around 13% chance

Step-by-step explanation:

Answer:

3 and 9 both have factors 1 and 3 in common.

Explanation:

A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.

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Answer:

( x-7) (x+3)

Step-by-step explanation:multiply to -21 and add to -4

-7 * 3 = -21

-7+3 = -4

( x-7) (x+3)

Answer:

have one what ?

Step-by-step explanation:

also thats cute. when i was in sixth grade, i was homeschooled.

Answer

Ok good luck in school!

This question is incomplete, the complete question is;

X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)

Answer:

P( W> 10) is 0.1587

Step-by-step explanation:

Given that;

X ⇒ N( 13.9, 5.2 )

Y ⇒ N( 6.9, 3.8 )

W = X - Y

Therefore

E(W) = E(X) - E(Y)

= 13.9 - 6.9 = 7

Var(W) = Var(X) + Var(Y) -2COV(X.Y)

[ COV(X,Y) = 0 because they are independent]

Var(W) = 5.2 + 3.8 + 0

= 9

Therefore

W ⇒ N( 7, 9 )

so

P( W > 10 )

= 1 - P( W ≤ 10 )

= 1 - P( W-7 /3   ≤   10-7 /3 )

= 1 - P( Z ≤ 1 )           [ Z = W-7 / 3 ⇒ N(0, 1)  ]

from Standard normal distribution table, P( Z ≤ 1 )  = 0.8413

so

1 - P( Z ≤ 1 )  = 1 - 0.8413 = 0.1587

Therefore P( W> 10) is 0.1587

Answer:

t=2

Step-by-step explanation:

3t-6=t-2(Group like terms)

3t-t=-2+6

2t=4(Divide both sides by 4)

t=2( This is because when you divide both sides by 2, 2 can divide 4 2 times so that's why we have t as equal to 2)

For the given parallelogram, the measure of angle B is 65° and the measure of angle D is 65°. The answer is the third option.

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, for a parallelogram, its the opposite sides are equal and parallel. For a parallelogram is noted too that the opposite angles are equal.

The question gives the values of the angle B and D in function of n.

Therefore, considering that the opposite angles of the  parallelogram (ABCD)  are equal, so D=B.  Thus,

6n-25=3n+20

6n-3n=20+25

3n=45

n=15°

Replacing the value of n in each angle (B and D). Then,

D=6n-25= 6*15-25= 90-25= 65°

B=3n+20= 3*15+20= 45+20 = 65°

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Answer:

4/25

Step-by-step explanation:

It is a fraction with 4 in the numerator and 25 in the denominator.

4

__

25

Answer:

A bank teller has 47 $20 and $5 bills.

The value of the bills is $490.

Number of $20 bills --> x

Number of $5 bills --> y

x + y = 47 --> x = 47-y

20x + 5y = 490 --> 20x = 490-5y

so

20(47-y) = 490 -5y

940-20y = 490-5y

940-490 = -5y+20y

15y = 450

y= 30

so

x = 47-30

x = 17

IN TOTAL --> 17 $20 bills and 30 $5 bills.

Answer:

x = 17 $20 bills

y = 30 $5 bills

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define variables

x = # of $20 bills

y = # of $5 bills

Step 2: Set up systems of equations

[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]

Step 3: Solve for x

By solving for x, we now know that we have 17 $20 bills.

Step 4: Solve for y

Now we know that we have 30 $5 bills.

Answer:

2646

Step-by-step explanation:

is the correct answer for This question

The required equivalent expression is (216 x 16).

The correct is D.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

6³ x 4²

Now, expand the exponents as

6³

= 6 x 6 x 6

= 216

and, 4² = 4 x 4 = 16

Thus, the required equivalent expression is (216 x 16).

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Answer:

The bread will be done baking at 12:15

Step-by-step explanation:

11:45+30=12:15

Answer:

12:15 pm

Step-by-step explanation:

30 minutes is two sets of 15 minutes

15+45=60

Therefore, 12:00pm is 15 minutes of back time

Add the second set of 15 minutes and you get 12:15 pm

Answer:

(-1,3)

Step-by-step explanation:

for the x coordinate all you do is -5 + 4 because you are moving right, and moving right is positive, so if you are moving to the positive direction you add

for the y coordinate you have to do 5 - 2 because you are going left, and left is negitave, so you subtract

Answer:

±2√21.

Step-by-step explanation:

First, you break 84 down into √4⋅√21.

That is equal to ±2√21.

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Answer:  2√21

The answer is 2 radical 21

Step-by-step explanation:

Answer:

7 quarters 1 nickel

Step-by-step explanation:

7 x.25= 1.75

1.75+ .05= 1.80

Answer: y=13, A. f(x)=13

Step-by-step explanation:

Answer:

y=13, A. f(x)=13

Step-by-step explanation:

Answer:

0.60

Step-by-step explanation:

In the category of pets

22 students had a cat = P(C)

17 students had a dog = P(D)

9 students had both a dog and a cat = P(C and D)

The formula to find the Probability of two events =

P(C or D) = P(C) + P(D) - P(C and D)

P(cat or dog) = P(cat) + P( dog) - P(cat and dog)

P(cat or dog) = 22/50 + 17/50 - 9/50

P(cat or dog) = 0.44 + 0.34 - 0.18

P(cat or dog) = 0.60

The probability the student will have a dog or a cat is 0.60

12 < -8n

(I'm not hundred percent sure I'm sorry but that's what I came up with)

Answer:

I think i would be c or a but im not sure

step-by-step explanation:

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[tex] \frac{y}{x} = \frac{ \sin(t) }{ \tan(t) } \\ [/tex]

[tex] \frac{dy}{dx} = \frac{( \sin(t))'}{( \tan(t))'} \\ [/tex]

[tex] \frac{dy}{dx} = \frac{ \cos(t) }{ {sec}^{2}(t) } \\ [/tex]

[tex] \frac{dy}{dx} = \frac{ \cos(t) }{ \frac{1}{ {cos}^{2}(t) } } \\ [/tex]

[tex] \frac{dy}{dx} = {cos}^{3}(t) \\ [/tex]

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Answer:

The order of finishing is important here, therefore you use permutations rather than combinations.  Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance

69P3 = 69! / (69 -3!)

Step-by-step explanation:

Answer:

4 rides

Step-by-step explanation:

36.75-10.5= 26.25    cost of admission

26.25 divded by 5.5= 4.7777777

so 4 rides with left over change

Answer:he can buy 4 tickets

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

Answer:

3.3 mph

4.84 ft/s

Step-by-step explanation:

Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation: