Sifa has $156 in the bank. He needs to have at least $400 for spending money on his trip. Write and solve an inequality to find the minimum amount of money he needs to earn before his trip.

Answer:

The image for number 10 is shown below as

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

2

Step-by-step explanation:

Four of them have in all 504 cards.

Multiplication: In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

It is given that Stephanie has 126 basketball cards

and also said that her three friends have the same number of cards as she does

which gives 126 each of three friends so, three of them are having

friend 1 =126

friend 2=126

friend 3=126

=3×126 by combining three friends cards which gives,

=378

four of them will have 4×126=504 cards.

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Of them, four have all 504 cards.

What does "multiplication" mean?

Multiplication in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Given her collection of 126 basketball trading cards

and added that she shares the same number of cards with her three friends.

which amounts to 126 for each of the three friends, meaning that three of them

buddy 1 = 126

friend 2=126

friend 3=126

=3×126 by combining three friends cards which gives,

=378

four of them will have 4×126=504 cards.

If the two expression be 14 - 3a and 7a - 9 then the combined term exists 4a + 5.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator).

The addition, subtraction, multiplication, and division mathematical operations are used to create mathematical expressions.

Let the two expression be 14 - 3a and 7a - 9

Expression one - 14 - 3a

Expression two - 7a - 9

Combining both two terms

14 - 3a + (7a - 9)  = 14 - 3a + 7a - 9

simplifying the above equation, we get

= (-3a + 7a) + 114 - 9)

=  4a + 5

If the two expression be 14 - 3a and 7a - 9 then the combined term exists 4a + 5.

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The cost of installing a fence around an 80 ft. wide and 120 ft. deep rectangular lot, with the fence priced at $3.25 per linear foot, will be $1,300.

To determine the cost of installing a fence around a rectangular lot, you need to calculate the total length of the fence required and then multiply that by the cost per linear foot. The given dimensions of the lot are 80 feet wide and 120 feet deep.
First, calculate the perimeter of the rectangular lot. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length (or depth) and W is the width. In this case, the perimeter is P = 2(120) + 2(80) = 240 + 160 = 400 feet.
Next, multiply the total length of the fence by the cost per linear foot, which is $3.25. So, the cost of installing the fence is 400 feet × $3.25 per linear foot = $1,300.

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Answer:

Need points

Step-by-step explanation:

Answer:

Need points

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

Answer:

I reccommend using an AoPS book. You can learn more at aops.com

Step-by-step explanation:

Answer:

2 is your answer

Step-by-step explanation:

6x2=12

Answer:

72

Step-by-step explanation:

\( \frac{x}{6} = 12 \\ x = 12 \times 6 \\ x = 72\)

The random variable expressed as the conditional expectation of Y given X is E[Y|X]=1/2(X−Y).

Two independent Bernoulli r.v., U and V, both with probability of success 1/2. Let X=U+V and Y=∣U−V∣.To calculateThe covariance of X and Y (σX,Y) and if X and Y are independent and the random variable expressed as the conditional expectation of Y given X, i.e., E[Y∣X].Solution(a) Calculation of covariance of X and Y, σX,YUsing the properties of covariance, we have:  σX,Y=E[XY]−E[X]E[Y]​.

Using the expectation calculated above, we can now find the covariance of X and Y as follows:σX,Y=E[XY] Thus, the covariance of X and Y is σX,Y=3/4.(b) Checking independence of X and Y In order to show that X and Y are independent, we need to show that their covariance is zero, i.e., σX,Y=0.

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Answer:

y = 30x + 40

Step-by-step explanation:

Answer:

  b.  y = 15x + 40

Step-by-step explanation:

You want the equation of the line of best fit through the given data.

The graphing calculator in the attachment shows the line of best fit to be about y = 13x +45 (red).

The green line shown is what appears to be the nearest answer choice:

  B.  y = 15x +40

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable

x  =  11+3y/8

Step-by-step explanation:

Answer:

4(2x + y) = 11 + 7y

1. expand the brackets 8x + 4y = 11 + 7y

2. move +4y to the other side 8x = 11 + 3y

3. move 8 to the other side x= (11 + 3y)/8

Step-by-step explanation:

To find the values of x at the points where y = 4x - x² intersects y = 0, we can set 4x - x² equal to 0 and solve for x.

4x - x² = 0

Factor out x:

x(4 - x) = 0

Therefore, either x = 0 or 4 - x = 0.

If x = 0, then the point where the two curves intersect is (0,0).

If 4 - x = 0, then x = 4 and the point where the two curves intersect is (4,0).

So the values of x at the points where the two curves intersect y = 0 are x = 0 and x = 4.

The correct option is: The graph is centered around 0.

The statement that is NOT a descriptor of a normal distribution of a random variable is "The graph is centered around 0.

"The normal distribution is a symmetric probability distribution. Its curve is bell-shaped and symmetrical around the mean µ. It means that the distribution's mean is located in the center of the curve. Therefore, the statement

"The graph is centered around the mean" is true.

However, the statement that is not a descriptor of a normal distribution of a random variable is "The graph is centered around 0." The standard normal distribution is the only normal distribution that has its mean at zero (0) and its standard deviation at one (1). Hence, the correct option is: The graph is centered around 0.

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Answer:

The maximum height that the rocket will reach is 271 feet.

Step-by-step explanation:

We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0  ft/s and g = acceleration due to gravity = 32 ft/s².

So, v = u - gt.

t = (u - v)/g

= (128 ft/s - 0 ft/s)/32 ft/s²

= 128 ft/s ÷ 32 ft/s²

= 4 s.

We calculate the maximum height from

y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.

Substituting these values into the equation, we have

y - y₀ = (u - 1/2gt)t

y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s

y - 15 ft = (128 ft/s - 64 ft/s)4 s

y - 15 ft = 64 ft/s × 4 s

y - 15 ft = 256 ft

y = 256 ft + 15 ft

y = 271 ft

So, the maximum height that the rocket will reach is 271 feet.

The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr²

A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter. A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.

The smallest number of bags the groundskeeper must buy to cover the field.

Diameter of the field = 290 feet

Radius = 145 feet

Area of the circular field = πr²

= 3.14 ×145²

= 66018.5ft²

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Answer: Great U?

Have a great Day/Night

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

2 hours

Step-by-step explanation:

let x represent the # of hours that have passed.

set up an equation and solve:

32-7x=18

-7x=-14

x=2

Answer:

9

Step-by-step explanation:

The given two triangles must be similar by AA similarity Condition . Therefore ,

And the corresponding sides of the similar triangles are Proportional . Therefore ,

⇒ ED/ CB = AD/AB

⇒ 11/2 = 3 + x / 3

⇒ 33 = 2(3+x)

⇒ 6 + 3x = 33

⇒3x = 33 - 6

⇒ 3x = 27

⇒ x = 27/3

⇒ x = 9

Answer:

a 40, aka a failing grade ( do ur test :) )

Step-by-step explanation:

Answer:

Step-by-step explanation:

real zeros -----> where f(x) = 0

\(-2x^{2} - 6x - 1 = 0\\\) * (-1)

\(2x^{2} + 6x + 1 = 0\\\)

Δ = \(6^{2} - 4 * 2 * 1\) = 36 - 8 = 28

vΔ = 2\(\sqrt{7}\)

x' = \(\frac{-6 + 2\sqrt{7} }{2 * 2} = \frac{-6 +2\sqrt{7} }4}\)

x'' = \(\frac{-6 - 2\sqrt{7} }{2 * 2} = \frac{-6 -2\sqrt{7} }4}\)

The equation of the circle is \(x^2 + y^2 + 6x - 18y + 65 = 0\).

Given:

Equation of the circle is \((x+3)^2+(y-9)^2=5^2\)

Expand the equation

\((x+3)^2 = (x+3)(x+3) = x^2 + 3x + 3x + 9 = x^2 + 6x + 9\)

\((y-9)^2 = (y-9)(y-9) = y^2 - 9y - 9y + 81 = y^2 - 18y + 81\)

\(5^2 = 25\)

Then, substitute the expanded expressions into the equation

\((x+3)^2+(y-9)^2=5^2\\(x^2 + 6x + 9) + (y^2 - 18y + 81) = 25\\\)

Simplify and combine like terms

\((x^2 + 6x + 9) + (y^2 - 18y + 81) = 25\\x^2 + y^2 + 6x - 18y + 90 = 25\)

Rearrange the equation so that one side is 0

\(x^2 + y^2 + 6x - 18y + 90 = 25\\x^2 + y^2 + 6x - 18y + 90 - 25 = 0\\x^2 + y^2 + 6x - 18y + 65 = 0\)
Thus, the equation of a circle \((x+3)^2+(y-9)^2=5^2\) can be rearranged using the distributive property to form \(x^2 + y^2 + 6x - 18y + 65 = 0\), with one side equaling 0.

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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PRIMES: 3, 61, 41

COMPOSITES: 26,33,85

Told to walk in first week = 5km

Told to walk in second week = 8km

Told to walk in third week = 11km

It is forming a pattern,

5km      8km      11km       ..........

     +3       +3        +3

5km      8km     11km     14km     17km     20km    23km     26km   29km     32km

    +3       +3        +3       +3        +3        +3        +3         +3      +3  

The patient has to walk 32km in the 10th week.

MARK ME AS BRAINLEST

Answer:

591.5 \(ft^{3}\)

Step-by-step explanation:

Volume = length x width x height

Length = 13 ft. Because it is the same size has the height

Width = 7 ft.

Height = 13 ft.

13ft x 13ft x 7ft = 1,183 ft

BUT, that can't be the answer because we're solving a prism

So divide the volume.

1,183 divided by 2 equals 591.5