I have a few questions!
a) x−1.27=4.09
b) 2.3−y=2.301
c) t+3.04=14.3
d) 1.1+k=5.67

Answer: P(G) = 1/4

P(M) = 1/3

P(G and M) = 1/12

P(G or M) = 1/2

Step-by-step explanation:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Students Surveyed = 120

30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse.

First, the the probability that a student in the class has a goldfish

P(G) = 30/ 120

        = 1/4

second, the probability that a student in the class has a mouse

P(M) = 40/120

       =  1/3

Third, the probability that a student in the class has a goldfish and a mouse

P(G and M) = 1/4 x 1/3

                  =  1/12

Fourth  the probability that a student in the class has a goldfish or a mouse

P(G or M) = P(G)+ P(M) - P( G and M)

                = 1/3+ 1/4 - 1/12

                = 6/12

                = 1/2

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Answer: The answer is A

Step-by-step explanation:

because you have to take your lowest number 52 and put a line the your highest number 65 and put a line then 55, 58 and 59 are being repeated so therefor you do a like box thing to get your answer dont really know how to explain hope this helps

Answer:the answer is D

Step-by-step explanation:

$115,460.91

Her balloon payment at the end of 3 years is  $115,460.91. The correct option is D.

A balloon mortgage is one of the loan with low initial payments but the borrower is needed to repay the balance in a lump sump amount.

Given is the 3/27 balloon mortgage with an interest rate of 5.1% to purchase a house for $121,000.

The rate is fixed for a period of 3 years and later converts to a new fixed rate for the left 27 years.

using the formula for balloon payment.

FV = P*(1+r)n–P*[(1+r)n–1/r]

Substitute P = $121000, r = 5.1 and n=3 years, we get the balloon  payment is

FV = $115,460.91

Thus, her balloon payment at the end of 3 years is  $115,460.91. The correct option is D.

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Answer:

110in

Step-by-step explanation:

The horizontal distance from where you stand to the lamp post is 40 inches.

Let the height of the lamp post be y inches.

The angle of elevation from the ground to the top!

of the lamppost to be 70°.

The height , y and the horizontal distance, form the legs of a right triangle .

We can use the tangent ratio, to calculate the height of the lamp post .

[tex] \tan(70 \degree) = \frac{y}{40} [/tex]

[tex]y = 40 \tan(70) [/tex]

[tex]y = 109.9[/tex]

To the nearest inch, the height is 110 inches

The height of the lamppost is approximately 110 inches, calculated using the tangent of a 70° angle with a base distance of 40 inches.

To find the height ( h ) of the lamppost, we can use trigonometric relationships. Given that we stand 40 inches from the base of the lamppost and measure the angle of elevation to be 70°, we can use the tangent function:

[tex]\[\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\][/tex]

In this scenario:

- The angle [tex]\(\theta = 70^\circ\)[/tex]

- The adjacent side (distance from the base) is 40 inches

- The opposite side is the height \( h \) of the lamppost

Using the tangent function, we have:

[tex]\[\tan(70^\circ) = \frac{h}{40}\][/tex]

To solve for ( h ), we rearrange the equation:

[tex]\[h = 40 \cdot \tan(70^\circ)\][/tex]

Now we need to calculate [tex]\( \tan(70^\circ) \):[/tex]

[tex]\[\tan(70^\circ) \approx 2.747\][/tex]

Multiplying this by 40 inches:

[tex]\[h = 40 \cdot 2.747 \approx 109.88\][/tex]

Rounding to the nearest inch:

[tex]\[h \approx 110 \text{ inches}\][/tex]

Therefore, the height of the lamppost is approximately  110  inches.

Answer:E

Step-by-step explanation:

Type it all into a calculator

Answer:

10

Step-by-step explanation:

3 1/2 cups of orange juice

2 1/2 cups of lemonade

1 quart = 4 cups

4 cups of ginger ale

add them all together...

so there should be:

10 1-cup servings!

i hope this helped you!!

:)

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

So you are trying to find 48% of 92, correct?

Step-by-step explanation:

Answer:

44.2

Step-by-step explanation:

Take 92 and multiply it by .48

Answer:

in a similar way,the volume of a cone and a cylinder that have identical bases and height  are proportional. if a cone and a cylinder have bases (shown in color) with equal areas and both have identical heights, the the volume of a cone is one-third that volume of a cylinder is V=πr2h

Step-by-step explanation:

Answer:

If the base dimensions and the heights are the same, the volume of the pyramid is approximately 1/3 the volume of the cube.

Step-by-step explanation:

awnser for plato math

SSS (Side-Side-Side) requires three pairs of equal sides to prove triangle congruence, while SAS (Side-Angle-Side) requires two pairs of equal sides and one pair of equal included angles.

In mathematics, specifically in geometry, SSS (Side-Side-Side) and SAS (Side-Angle-Side) are two methods used to determine if two triangles are congruent. Congruent triangles are triangles that have the same size and shape.

SSS (Side-Side-Side)

The SSS criterion states that if all three sides of one triangle are respectively equal in length to all three sides of another triangle, then the two triangles are congruent. You do not need to know any angle measurements.

SAS (Side-Angle-Side)

The SAS criterion states that if two sides and the included angle (the angle between the two sides) of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

To distinguish between the two, remember that for SSS you're comparing three sides, and for SAS you're comparing two sides and the angle that is between them.

A. 18 is 20% of 90

B. 15 is 25% of 60

C. 12 is 30% of 40

D.  24 is 40% of 60

E. 39 is 60% of 65

F. 78 is 30% of 234

(Sorry I have to go, but hopefully I helped you)

Answer:

Log₄2=0.5

Step-by-step explanation:

Answer:

[tex]log_{4}[/tex] 2 = 0.5

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

[tex]4^{0.5}[/tex] = 2 ← with x = 2, b= 4 and n = 0.5, then

[tex]log_{4}[/tex] 2 = 0.5

Answer:

Step-by-step explanation:

when x=2,g(x)=1

from B when x=2

g(x)=1/4×2²=1

which is true .

so B

Answer:

2/5

Step-by-step explanation:

The lines are parallel, so they have the same slope.

The red lines has a slope of 2/5

The green line has a slope of 2/5

Answer: 2/5

Step-by-step explanation:

if they did not have the same slope, they would not be parallel

Answer:7 x 10

1) Can be done by trail and error

Or

2) setting and slowing two equations

Step-by-step explanation:

If a and b are sides of rectangle

(1). 2a + 2b = 34

(2). ab = 70

From 1

a= 17-b

Substitute above a to (2)

(17-b)b = 70

17b - b^2 = 70

-b^2 + 17b -70 = 0

Multiple above by -1

b^2 - 17b + 70 = 0

Solving quadratic equation by factorising

(b-7)(b-10)=0

b=7 or b=10

If b= 7. a =10

If b=10. a=7

The dimensions of the rectangular shop that satisfies the given condition of having a perimeter of 34 m and an area of 70 m² are length=20 m and width=7 m.

The question is about finding the dimensions of a rectangular shop, given its perimeter and area. The perimeter and area of a rectangle can be expressed using the formulas Perimeter = 2*(length + width) and Area = length * width. In the problem, we are given that the perimeter is 34 m and the area is 70 m².

Let's denote the length as 'l', and the width as 'w'. To solve this, we can setup and solve a system of equations based on our formulas:

2*(l + w) = 34

l * w = 70

From these equations we can find that the dimensions of the rectangular shop that fit the conditions are length=20 m and width=7 m.

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Answer:

42

Step-by-step explanation:

x = Ky

18 = K(3)

K = 18/3 = 6

x = 6y

x = 6(7) = 42

Answer:

21

Step-by-step explanation:

k=6   t=k *2=12    l=k/2 =3       6+12+3=21

Answer:

21

Step-by-step explanation:

To find out how much Tyrell ate, you multiply 6 times two (which is 12), then to find out how much Lucy ate, you have to divide 2 and 6 (Which is 3) . Now you add up how many they ate in all.. 6 (Katy) plus 12 (Tyrell) and that equals 18, then you add 3 (Lucy), which comes to a total of 21

Answer: subtraction property of equality

Step-by-step explanation:

subtracting d from both sides is the subtraction property of equality

Answer:

subtraction property of equality

Step-by-step explanation:

Step-by-step explanation:

When 2/5 is divided by 4 we get or we can do the reciprocal

Here we Get

2/5 * 1/4

= 1 / 10

Answer:

2/20 = 1/10

Step-by-step explanation:

Answer:

There are 36 cubes

Step-by-step explanation:

Answer:

18 cm or 36 cubes

Step-by-step explanation:

hxlxb

h=3

l=3

b=4

3x3x4

36

36 divided by 2 since each cube is half

18

Answer:

x = (164 - y)/5

y = 165 - 5x

Step-by-step explanation:

A whole rotation is 360° (All the angles together = 360°)

148 + 2x + 47 + y + 3x = 360

195 + 5x + y  = 360

165 = 5x + y

y = 165 - 5x

5x = 165 - y

x = (164 - y)/5

Answer:

the length of the shadow is 45 feet long

Step-by-step explanation:

Answer:

A. 50% of 632

Step-by-step explanation:

The percentage refers to the whole garden (632) and the amount of this garden they will be able to use. If you need to find the exact number I suggest turning the percent into a fraction (50% is also 1/2) then multilying it by the total (632).

Answer:

317

Step-by-step explanation:

You can find the answer via the equation

632*50%

or

632/2

Answer:

These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature.

Hope this Helps!

Sincerely; Victoria <3

Answer:

h1,h2,h3,h4,h5,h6,t1,t2,t3,t4,t5,t6

Step-by-step explanation:

h or t is the coin, the number is the die

Final answer:

The sample space for flipping a coin and rolling a number cube consists of 12 possible outcomes. The probability of event A occurring is 1/6. Events A and B are mutually exclusive as they cannot occur at the same time.

Explanation:

A coin is flipped and a number cube is rolled; the sample space for this experiment can be listed by combining each possible outcome of the coin flip with each possible outcome of the number cube roll. The coin can either be heads (H) or tails (T), and the number cube, which is a six-sided die, can land on any number from 1 to 6.

H1

H2

H3

H4

H5

H6

T1

T2

T3

T4

T5

T6

Therefore, the sample space consists of 12 possible outcomes.

For part b, event A is "either a three or a four is rolled first, followed by landing a head on the coin toss." The favorable outcomes for event A are H3 and H4. Since there are 12 possible outcomes, and 2 of them are favorable, the probability P(A) is 2/12, which simplifies to 1/6.

For part c, event B is "the first and second tosses land on heads," which is not possible since the first "toss" is actually a roll of a die. Therefore, events A and B are mutually exclusive, as they cannot occur simultaneously. The occurrence of event A does not involve a second toss of the coin and event B is not possible within the context of this experiment.

D. x =1 input value produces the same output value for the two functions.

Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.

Suppose we have two functions, f(x) and g(x). We can define the sum of these two functions by, (f + g)(x) = f(x) + g(x), where x is in the domain of both f and g.

When the graphs of y = f(x) and y = g(x) intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection.

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Answer:

Part A C = (10,5)  Part B C. D'(0,10)

Step-by-step explanation:

Part A

Since c is at the point (2,1) in relation to the origin, we can multiply those distances by our scale factor of 5

(2,1) * 5 = (10,5)

The new point C is going to be (10,5)

Part B

If you dilate with a factor of 5 -- relative to the origin -- you have to multiply the distance from the origin by 5.

In this case, point D is already on the y axis, so it's x value wouldn't be affected. Point D is currently 2 units away from (0,0), so we can multiply 2*5 to get 10 -- our ending point is (0,10)

Answer:

It's a right angle triangle with 90° at C

Step-by-step explanation:

sin A = cosB when

A + B = 90

The condition that sin A equals cosine B, with A and B being acute angles, indicates that both angles are complementary and add up to 90 degrees, suggesting a right-angled triangle.

When given the condition that sin A equals cosine B in a triangle, and both angles A and B are acute, we can determine that triangle A and B are complementary, which means they add up to 90 degrees.

This is due to the co-function identity, where sin(90° - θ) = cos(θ) and cos(90° - θ) = sin(θ) for acute angles in right-angled triangles.

If A and B are in the same triangle, and given it is a right triangle (since they are acute and the sine of one equals the cosine of the other), we can conclude that A + B = 90°, and thus, the third angle will also be 90 degrees, making the triangle a right-angled one.

Answer:

Table A represents a linear function. I know because the rate of change between the x and y values is always 1. If you look at the table diagonally, you can see that you can add one to all of your x values to get your y.

Step-by-step explanation: