The length of a rectangle is three times the width. A new
rectangle is created by decreasing the length of the original rectangle by 9 feet
and increasing its width by 4 feet. The area of the new rectangle is the same as
the area of the original rectangle. What is the perimeter of the new rectangle?

Answer:

-2 = 2 units down and +1 = 1 unit to the right. -2/1

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Therefore, 2/5 of 50 is 20.

Answer: 165.618 its c

Step-by-step explanation: 153.35 + 8% = 165.618 so its most likely c

Answer:

1 ten

8 ones

Step-by-step explanation:

34 - 16 is 18. Therefore, you need 1 ten and 8 ones to make the number 18.

9514 1404 393

Answer:

  21.1%

Step-by-step explanation:

Adding 402 g of salt to a solution whose volume is 130 × 100 mL will increase the concentration by (402/130)%, or about 3.09%.

When the concentration of 18% has 3.09% added to it, the concentration of the new mixture is about 21.1%.

_____

Additional comment

We understand the units of concentration used here to be (1 g)/(100 mL) = 1%. These units are often used for a solution with a dissolved solid.

Usando la distribución binomial, se encuentra que hay una probabilidad de 0.0022 = 0.22% que exactamente 5 de las amas de casa prefieran la presentación de 1500 gramos.

Para cada estudiante, solo hay dos resultados posibles. O prefieren la presentación de 500 gramos, o prefieren la de 1500 gramos. La decisión de cada estudiante es independiente de otros estudiantes, o que implica que se usa la distribuición binomial.

Distribuición binomial.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son :

En este problema:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{20,5}.(0.05)^{5}.(0.95)^{15} = 0.0022[/tex]

Probabilidad de 0.0022 = 0.22% que exactamente 5 de las amas de casa prefieran la presentación de 1500 gramos.

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Answer:

7/12

Step-by-step explanation:

When you multiply fractions you just multiply across. 7*6 = 42 and 8*9 = 72. The both of these numbers can be divided by six so 42/6 = 7 as the numerator. 72/6 = 12 for the denominator. 7/12 is the answer.

Answer:

[tex] - \frac{1}{10} \times (25z + 52)[/tex]

Step-by-step explanation:

-1/2 (7z + 4) + 1/5 (5z - 16)

-1/10 × (5(7z + 4) - 2 (5z - 16))

-1/10 × (35z + 20 - 10z + 32)

= -1/10 × (25z + 52)

Step-by-step explanation:

first finding the area of the triangle by Heron's formula.

s=(a+b+c)/2, a=BC=5 unit, b=AC= 4√2unit, c=AB=7unit.

s=(5+4√2+7)/2 = (12+4√2)/2 =2( 6+2√2 )/2 = 6+2√2 unit .

Now, the Heron's formula : √s(s-a)(s-b)(s-c)

> √ (6+2√2)[(6+2√2)-5][(6+2√2)-4√2][(6+2√2)-7]

we have use √2's value ; 1.414 to simplify.

please simplify it with the help of calculator or doin it in a copy, because it is very difficult to share the full calculation. AFTER CALCULATION,

> √196.0000 > 14(units)².

Now, we know that the area of triangle is 14(units)². and another formula of finding the area of triangle is ½(base)(height). let the height be h.

Area = ½(base)(height)

=>14= ½(7)h. (after cross multiplication)

=>(14×2)/7=h. (after cancellation)

=>2×2=h.

=> 4units = h.

Therefore, CM that is the height is 4units.

I have every time written units because the unit is not given or you have not posted if given in the question you will write that unit only like cm or m anything like that.

Answer:

The range is 80.

Step-by-step explanation:

You just find the biggest and the smallest number and find the difference between the biggest and the smallest number. In this case, 191-111 is 80.

Answer:

less than 256

Step-by-step explanation:

Rule of 3. They were more than 50% of the tickets that were for students.

511*50/100 = 255,5

That means that less than 256 tickets were adult tikets

Answer:

A

Step-by-step explanation:

Answer:

C y > 2x/3 + 1

Step-by-step explanation:

Dashed line eliminates any equation option  with "equal to" in it

y rises 4 units as x increases 6 units between the blue points so slope is 4/6 = 2/3

y intercept is 1

Shaded blue area is above the dashed line so "greater than" rules apply

Answer:

C

Step-by-step explanation:

21+49 set it up first then add all of it together

the answer is 70

Answer:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number.

The annual Federal Tax deduction is $ 3,189.68.

Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:

Therefore, the annual Federal Tax deduction is $ 3,189.68.

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Answer:

We draw a number line 0.4 to 1.6 showing at least 5 values of decimal to =1

This way 1 can be centralised in such number line to compare scale from 1.

Here attached shows 6 values 0.4 to 1.6

The open circle is 1 and the arrow is M showing its direction and value.

Answer:

the answer for your question is D

If y = -0.025x^2 + 4x, then

y' = -0.05x + 4

Set y' = 2:

2 = -0.05x + 4

-2 = -0.05x

40 = x

Go back to y to find the point:

y = -0.025(40)^2 + 4(40) = 120

So the point (40, 120) on y = -0.025x^2 + 4x will have tangent line with a slope of 2.

The point lie in quadrant 3 and both x and y coordinates of the point will be negative.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

It is given that point lies to the left of the y-axis and below the x-axis

For an example of a point in quadrant 3 and left of the y axis and below the x axis would be (-3,-3).

Therefore, the values of tangent and cotangent will be positive, while the values of sin, cosine, cosecant, and secant will be negative if trigonometric values of triangles are used in quadrant 3.

The point lie in quadrant 3 and both x and y coordinates of the point will be negative.

Learn more about trigonometric;

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Answer:

25, 90

Step-by-step explanation:

5/6

6 x 5 = 30

Therefore, you must multiply 5 by 5 as well.

5 x 5 = 25

Then:

Divide 75 by 5

Multiply 15 by 6

Answer: 90

Hope this helps

Answer:

The half-plane opposite that in which the test point lies

Answer: 6 + 8 on the picture

Step-by-step explanation:

Any positive number plus a negative automagically turns into a addition problem so 6 + 8 on the picture

Answer:

O-8+8

Step-by-step explanation:

this is the right answer trust me

Answer:

[tex]4 \times 3 = 12 \\ 5 \times 3 = 15 \\ 6 \times 3 = 18 \\ 7 \times 3 = 21 \\ \\ y = 3 \times x[/tex]

[tex]4 \frac{2}{3} \div 2 \frac{2}{5} \\ = \frac{14}{3} \div \frac{12}{5} \\ = \frac{14}{3} \times \frac{5}{12} \\ = \frac{70}{36} \\ = \frac{35}{18} \\ = 1 \frac{17}{18} [/tex]

[tex]1 \frac{17}{18} [/tex]