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Its Geometry A

The ratio that is equivalent to 25:80 is 5:16 , the correct option is (d) .

In the question ,

it is given that ,

the ratio is 25:18 , we need an equivalent ratio .

the ratio is 25:80 which can be written in fraction as 25/80 .

writing the factors of 25 and 80 .

= (5×5)/(5×16)

we can see that 5 is the common factor in both the numerator and the denominator .

= 5/16

which can be written as

= 5:16

the equivalent ratio is 5:16  .

Therefore , The ratio that is equivalent to 25:80 is 5:16 , the correct option is (d) .

The given question is incomplete , the complete question is

Which of the following ratio is equivalent to  25:80 ?

(a) 2:5

(b) 8:5

(c) 16:5

(d) 5:16

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Answer: Location of T' on the coordinate axis will be (16,7).

T (6,4) → T' (16,7).

Step-by-step explanation:

coordinate vertices of points in rectangle JKLM are:

J (-8,-8)

K (-4,-8)

L (-4,-5)

M (-8,-5)

and coordinate vertices of points in rectangle J'K'L'M' are:

J' (2,-5)

K' (6,-5)

L' (6,-2)

M' (2,-2)

coordinate vertices of points in Quadrilateral STUV are:

S (1,4)

T (6,4)

U (4,6)

V (2,6)

transformation in coordinate vertices from rectangle JKLM to rectangle J'K'L'M' is:

J (-8,-8) → J' (2,-5)

⇒ along x axis -8 → 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -8 → -5 which means that the rectangle is shifting upwards by 3 units.

similarly for

K (-4,-8) → K' (6,-5)

⇒ along x axis -4 → 6 which means that rectangle is shifting towards right by 10 units.

and along y axis -8 → -5 which means that the rectangle is shifting upwards by 3 units.

L (-4,-5) → L' (6,-2)

⇒ along x axis -4 → 6 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 → -2 which means that the rectangle is shifting upwards by 3 units.

M (-8,-5) → M' (2,-2)

⇒ along x axis -8 → 2 which means that rectangle is shifting towards right by 10 units.

and along y axis -5 → -2 which means that the rectangle is shifting upwards by 3 units.

So, the location of T' of the Quadrilateral S'T'U'V' on the coordinate plane will be:

along x axis the Quadrilateral will shift towards right by 10 units

So, 6 → 6+10=16

and along y axis the Quadrilateral will shift upwards by 3 units

So, 4 → 4+3=7

⇒ T (6,4) → T' (16,7).

Step-by-step explanation:

We want to identify the domain and range of the following function

Recall that the domain of a function is the set of values for the variable x, for which the function is defined. Note that we can see this function as the product of two different functions

and

Note that the first part (1/6) does not depend on x, so this means that it is always defined. Also, note that 8^x is always defined for any value of x. That is, if you replace x by any number, you will get another number.

So, this means that the the original function is defined for every value of x. So the domain of this function is the set of all real numbers.

If we define the equation

the range is the set of all possible values that y can take. Taking a look at the functions we already identified (1/6, and 8^x) we can see that 1/6 is always a positive number, and we can also see that for every value of x, the number

8^x is always positive.

That means that the product

is always a positive number. So, this means that the range of the function is all positive real numbers. That is the set of y such that y>0

A line with an undefined slope would be x=___, in which you would put the x value of the coordinate. So, the equation would be x = -6

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &6\\ \end{cases} \\\\\\ A=20000(1 + 0.04)^{6} \implies A=2000(1.04)^6\implies A \approx 25306[/tex]

A number is squared. This is added to fifteen and the product of eight and the number, to give zero. ​

the algebraic expression is

Let

x ----> the number

x^2+(15+8x)=0

therefore

x^2+8x+15=0

solve the quadratic equation

Solve by using calculator

x=-5 and x=-3

Answer: 30 glasses

Step-by-step explanation:

Answer:

30 glasses

Step-by-step explanation:

2:20 = 1:10

1:10 x 3 = 3: 30

How to find Unit Rate:

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Data Input

Simone paid $13 for an initial year's

The renewal rate is $8 per year

Equation

y = 8x + 13

Table

x (number of years renewed) | (total cost in dollars)

0 -> 13 dollars

1 -> 21 dollars

2 -> 29 dollars

3 -> 37 dollars

4 -> 45 dollars

The number of dishes the crispy clover has in his new menu can be expressed as  D + (1/5)D.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, and subtraction operations.

Given data -

20% more dishes are available on the new menu than the old one.

D foods were on the previous menu.

As 20% more dishes are added,

Therefore we can also write it as (20/100)D

Now the total dishes in the new menu can be expressed as

= D + (20/100)D

= D + (1/5)D

Therefore the number of dishes the crispy clover has in his new menu can be expressed as  D + (1/5)D.

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The complete question is:

Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?

Given

Probability that a pea has green pods = 0.75

Sample of the offspring peas , n = 20

Find

Standard deviation for the numbers of peas with green pods in the groups of 20

Explanation

as we have given ,

Probability that a pea has green pods , p = 0.75

Probability that a pea do not have green pods , q = 1 - 0.75 = 0.25

n = 20

in binomial distribution ,

standard deviation is given by

so,

Final Answer

Hence , the standard deviation for the number of peas with green pods in the group of 20 is 1.94

You have that simple interest is computed by the multiplication of p (principal amount), r (interest rate) and t (time).

The previoues sentence can be written algebraically as follow:

I = p x r x t you only have to multiply each factor

where I is the letter for simple interest.

In solving the following fraction, step (A) (4/7) × (-2/-1) is wrong and the correct step should be (4/7) × (-2/1).

So, the wrong step will be:

Then, the next step should be:

But, the steps it is given as:

Which makes the error.

Therefore, in solving the following fraction, step (A) (4/7) × (-2/-1) is wrong and the correct step should be (4/7) × (-2/1).

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Answer:

C. C and E

Step-by-step explanation:

The solutions for a system of equations is the point of intersection of the two graphs of those equations. Here, there are two points of intersection, that is, two points where the graphs cross. The graphs cross at point C and point E.

C and E are the solutions to this system.

The mixed fraction is express as :

The given expression is :

Simplify the mixed fraction into decimal form :

Substitute the value and then subtarct :

Answer : 14 3/4 - 4 1/8​ = 10.625

Answer:

5/8

Step-by-step explanation:

3/4 can be multiplied by 2 to get 6/8 and now you have common denominators so you do 4 6/8 - 4 1/8

4-4= 0

6/8 - 1/8 = 5/8 so 5/8 is the answer

[tex]\fbox{20.25}[/tex]

To find her miles per hour, we need to divide the total miles by the total hours to find how many miles she drives in each hour.

[tex]162\div8[/tex]

[tex]=20.25[/tex]

Answer:

87.50%

Step-by-step explanation:

You have to find the difference between the two numbers and divide the result by the first number which is 32. Multiply the answer by 100 to get the answer as a percentage!

Answer:32% of 60 = 87.5

Step-by-step explanation:

Step-by-step explanation:

the question is about distance.

what do we use to measure distance ? things like feet, yards, meters, ...

definitely not square feet (areas) or cubic feet (volume).

it is a right-angled triangle. so Pythagoras applies

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle). in our case the 48 ft side.

a and b are the legs. in our case x and x+6.

the saved walking distance is the difference between 48 ft and the sum of the legs (which would be the walking distance, when they cannot get though the lot).

48² = x² + (x + 6)² = x² + x² + 12x + 36

2304 = 2x² + 12x + 36

1152 = x² + 6x + 18

x² + 6x - 1134 = 0

the solution for such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a) =

= (-6 ± sqrt(6² - 4×1×-1134))/(2×1) =

= (-6 ± sqrt(36 + 4536))/2 =

= (-6 ± sqrt(4572))/2 =

= -3 ± sqrt(4572/4) = -3 ± sqrt(1143) =

= -3 ± sqrt(9×127) = -3 ± 3×sqrt(127)

x1 = -3 + 3×sqrt(127) = 30.80828301...

x2 = -3 - 3×sqrt(127) = -36.80828301...

negative numbers for a distance don't make any sense, so

x = 30.80828301... is our solution.

that means the 2 legs are

30.80828301... ft

36.80828301... ft

in total they are

67.61656602... ft

and so they save

67.61656602... - 48 = 19.61656602... ft ≈

≈ 19.617 ft

by walking across the lot.

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Answer:

D

Step-by-step explanation:

Let's check each inequality if the value x = 5 is part of the solution:

a. x < 2

5 is a value greater than 2, so it isn't part of the solution of this inequation.

b. x > 9

5 is lesser than 9, so it isn't part of the solution of this inequation.

c. x < 18

5 is lesser than

The value of x from the given equations is 0.6.

The given equations are y=4x and y=-x+3.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, 4x=-x+3

⇒ 4x+x=3

⇒ 5x=3

⇒ x=3/5

⇒ x=0.6

Hence, the value of x from the given equations is 0.6.

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By using combination, it can be obtained that

Number of simple random samples of size 3 that can be selected from a population of size 7 = 35

What is combination?

Combination determines the number of arrangements that can be made from a collection of objects when the order of arrangement is not taken into account.

Here, concept of combination is used

Number of simple random samples of size 3 that can be selected from a population of size 7 = [tex]{7 \choose 3}[/tex] = 35

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Margin of Error:

ANSWER: 1068

The coordinates of the vertices of ΔA'B'C' after the transformation are (a) A'(-2, 8), B'(-17, 11), C'(-9, 0)

The coordinates of the triangle are given as

ΔABC are A(7, 3), B(−8, 6), C(0, −5).

The transformation is given as

∆ABC is translated along the vector <−9, 5>

Mathematically, this can be represented as

(x, y) ⇒ (x - 9, y + 5)

When this is applied on ABC, we have:

ΔA'B'C' = A'(7 - 9, 3 + 5), B'(−8 - 9, 6 + 5), C'(0 - 9, −5 + 5)

Evaluate the computations

ΔA'B'C' = A'(-2, 8), B'(-17, 11), C'(-9, 0)

Hence, the image of the transformation is (a) A'(-2, 8), B'(-17, 11), C'(-9, 0)

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20 ÷ 1 + 4 on the board is 36 ÷ 3 • 2 + 1 36 ÷ 3 • 2 + 1.According to the order of operations, you should execute addition and subtraction last and multiply and division first, proceeding from left to right

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