Samantha was driving down a road and after 4 hours she had traveled 70 miles. At this speed, how many hours would it take Samantha to drive 105 miles?

The 5 life examples are:

In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:

100/20

= 5.

Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.

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Therefore ,As a result, y = 5x + 35 is the equation that gives the answer to the given algebra issue.

Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols. The PEMDAS rule stands for the following operations: parenthesis, exponent, multiplication, division, addition, and subtraction. This rule is applied to solve the equation properly and accurately.

Here,

In this case, the equation for y in terms of x will be as follows:

y = 5(x + 7)

If you make the equation simpler, you get

y = 5(x + 7)

y = 5x + 35

y will have the linear equation y = 5x + 35 in terms of x.

Therefore , As a result, y = 5x + 35 is the equation that gives the answer to the given algebraic issue.

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Answer:

x = 2

Step-by-step explanation:

x^3 + 1 = 9

x^3 = 8

[tex]\sqrt[3]{x^3}[/tex] = [tex]\sqrt[3]{8}[/tex]

x = 2

The conditions of the line to be intersecting, parallel, and coincident are explained below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The types of lines are as follows:

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Answer:

line is negative, so -3/4

Step-by-step explanation:

The angle m∠D of the triangle is 78 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The ΔKDT and ΔKPQ are isosceles triangle.

Isosceles triangle is a triangle that has two sides and angles equal to each other.

Therefore,

∠D + ∠T + ∠k = 180

∠D  = 6x + 6

∠T = 6x + 6

∠K = 2x

Therefore,

6x + 6 + 6x + 6 + 2x = 180

14x + 12  = 180

14x = 180 - 12

14x = 168

divide both side by 14

x = 168 / 14

x = 12

Therefore,

m∠D = 6x + 6 = 6(12) + 6 = 72 + 6 = 78 degrees.

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1. 60% of 330 would fill 6 of the boxes.

2. 45% of 600 would fill 4 and half of the boxes.

3. 42% of 450 is 189.

4.  79% of 800 is 632.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

1. The strip has 10 boxes and totals to 330.

Now, 60% of 330 would fill 6 out of those 10 boxes.

2. The strip has 10 boxes and totals to 600.

So, 45% of it would fill 4 and a half of the boxes.

3. 42% of 450 can be numerically expressed as,

(42/100)×450.

= 189.

Similarly, 4. 79% of 800 is,

(79/100)×800.

= 632.

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Answer:

Interval: [0,∞), solution: x≥0.

Answer:

Domain: (0,+∞)

Step-by-step explanation:

negative numbers cannot have a square root taken unless your working with imaginary numbers.

Answer:

B

Step-by-step explanation:

We are 90% confident the proportion of students planning to attend public colleges who attended public high schools is between 0.0152 lower than to 0.2152 higher than the proportion of students planning to attend public colleges who attended private high schools.

Answer: 2.25 grams

Step-by-step explanation:

In this problem, we are given the ratio of grams to weight. Since we are trying to find how many grams to give to a person with a specific weight, we can use proportions to solve.

[tex]\frac{150mg}{5kg} =\frac{x}{75kg}[/tex]               [cross multiply]

[tex]11250=5x[/tex]                  [divide both sides by 5]

[tex]x=2250mg[/tex]

We are almost done with the problem. The problem is asking for grams, not mg, so we can use unit conversions to change that.

[tex]\frac{1000mg}{1g}=\frac{2250mg}{y}[/tex]          [cross multiply]

[tex]1000y=2250[/tex]               [divide both sides by 1000]

[tex]y=2.25[/tex]

Therefore, we need to give 2.25 grams.

Answer:

[tex]\frac{27}{1024}[/tex]

Step-by-step explanation:

So the chance of getting yellow is 0.25

Getting it once is 0.25

Getting it twice is 0.25 • 0.25

Not getting it is 0.75

So we have 0.25 • 0.25 • 0.75 • 0.75 • 0.75 = [tex]\frac{27}{1024}[/tex]

Answer:

ठथठलछंशू फथजलट एक ओज पनि हो र स्वार्थी यसलाई मैले कसरी भुल्न सक्थेँ र त्यहाँको बडेमाको बिल्डिङ भित्र म. म जिन्दगी एक यात्रा तय गर्न गर्ने हो र त्यहाँको बडेमाको बिल्डिङ बनाउनलाई मुख्य समाचार पृष्ठ सभकेँ रिफ्रेश कए देखू। म भने त्यो भने हेर्न

Answer:

Option A:

y = 3*(x - 5)^2 - 4

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

with the vertex (h, k), we can rewrite the function as:

such that:

h = -b/2*a

y = a*(x - h)^2 + k

Here we have the function:

y = 3*x^2 - 30*x + 71

the x-value of the vertex will be:

h = -(-30)/(2*3) = 30/6 = 5

And k is given by:

k = y(5) = 3*(5)^2 - 30*5 + 71 = -4

Then the vertex is:

(5, - 4)

And we can rewrite the equation in the vertex form as:

y = 3*(x - 5)^2 + (-4)

y = 3*(x - 5)^2 - 4

Then the correct option is A.

Answer:

Angle L = 44

Angle M = 93

Angle O = 88

Angle P =  74

Step-by-step explanation:

First find your x, all angles will equal 360 when put together

360=61+x+(2x+5)+(x+30)+(2x)

360 = 61 + 5 +30 + x + 2x + x + 2x

360 - 96 = 6x

264 = 6x

264 / 6 = x

44 = x

Now place 44 in place of all x

Angle L:

x = 44

Angle M

(2x+5) = 2*44 + 5 = 93

Angle O

2x = 2*44 = 88

Angle P

(x+30) = 44 + 30 = 74

Answer:

  363 = 11223₄

Step-by-step explanation:

You want 363 written in base 4.

We can convert to base 4 by looking at the remainders from repeated division by 4:

  363 ÷ 4 = 90 r 3

  90 ÷ 4 = 22 r 2

  22 ÷ 4 = 5 r 2

  5 ÷ 4 = 1 r 1

  1 ÷ 4 = 0 r 1

Writing the remainders in reverse order gives the base-4 number:

  363 = 11223₄

The number remaining in the village is 30.

We have to note that the case in which the population of the community is being reduced because of the fact that the community is being ravaged by disease is a case of a decrease in the population and is a problem of exponential decrease.

Then we would have that;

N =Noe^-rt

N = Number at time t

No = Initial number

r = spread rate

t = time taken

Then;

N = 200e^-0.95 * 2

N = 30

Thus, they would have only 30 people left.

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Answer:

20 mm

95 mm

75 mm

3 inches

0.15 in/yr

Step-by-step explanation:

From the graph :

Sea height variation January 2000 = 20 mm

Sea height variation January 2020 = 95 mm

Difference in height variation :

Height 2020 - Height 2000

95mm - 20mm = 75mm

Expressing in inches

1mm = 0.04 inches

75mm = (75 * 0.04)in

= 3 inches

Rate of increase :

Difference in sea level height / difference in time

3 / (2020 - 2000)

3 / 20

= 0.15

Answer:

y + 65

Step-by-step explanation:

Given :

Amount Samuel had prior to receiving paycheck = $65

Amount of Samuel's paycheck = y

Amount Samuel has after receiving paycheck :

Sum of initial amount and paycheck value

y + 65

Answer:

100

Step-by-step explanation:

Multiply two of the side lengths

10×10 = 100

Answer:

U add 1 then add 2 for each number

Answer:

+1 then +2

Step-by-step explanation:

We are given a sequence of 1, 2, 4, 5, 7, 8, 10 and are asked to find the pattern.

To solve, we need to see how much is being added into every single number.

1, 2

+1

2, 4

+2

4, 5

+1

5, 7

+2

We see that there is a repetition of +1 and then +2.

Therefore the pattern is +1 then +2

Answer:

Step-by-step explanation:

The solid's plan, consisting of a pyramid with a square base and a cube whose edges are each 6 cm long, will be represented in the attached graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To draw the plan of a solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm, you can start by drawing the top view of the cube. Since the edges of the cube have a length of 6 cm, the top view of the cube will be a square with sides of 6 cm.

Next, you can draw the top view of the square-based pyramid.

A square-based pyramid is a pyramid with a square base, so the top view of the pyramid will be a square with sides of 6 cm, just like the top view of the cube. However, the top view of the pyramid will also have four triangular faces extending from the corners of the square, each with a height of 6 cm.

To complete the plan of the solid, you can simply place the top view of the pyramid on top of the top view of the cube, aligning the edges of the squares.

The resulting drawing will be the plan of the solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm.

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Alright I got it.

So first what I did was I made an equation that match did the word problem.

The equation was 15x=250+10x

When I solved it the answer was 50.

so they would need to sell 50 Tshirts (x=50)

Step-by-step explanation:

I think its c cus its more relatable .

Answer:

c would be the answer.

when you answer the equation x - 15= 60

you would add 15 to 60 to get 75. That is the only answer that would make sense.

Each nested cart add to the length of the row is 1.5 feet long.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, the store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.

Each row has a starting cart that is 4 feet long, and the nested carts are next to it.  

It is measured that a row of 13 nested carts has a length of 23.5 feet.

Therefore, the original length of 13 nested carts is (23.5 - 4) = 19.5 feet.

So, each nested cart add to the length of the row 19.5/13 =1.5 feet

Again, a row of 18 nested carts to be 31 feet long.

Therefore, the actual added length of 18 nested carts is (31 - 4) = 27 feet.

So, each nested cart add to the length of the row 27/18 =1.5 feet

Therefore, each nested cart add to the length of the row is 1.5 feet long.

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"Your question is incomplete, probably the complete question/missing part is:"

A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.

How much does each nested cart add to the length of the row?

The probability that they include at least five persons having blood of type O is given as follows:

0.1075 = 10.75%.

The number of donors needed so that the probability of including at least one student donor of type O shall be 0.9 or more is of 184 donors.

The mass probability formula, giving the probability of x successes, is of:

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

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

The parameters are given by:

The values of the parameters for this problem are given as follows:

n = 200, p = 1/80 = 0.0125.

The probability of less than five is given as follows:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Using a binomial distribution calculator, these probabilities are given as follows:

Hence the probability of less than five successes is given as follows:

P(X < 5) = 0.0808 + 0.2046 + 0.2576 + 0.2153 + 0.1342 = 0.8925.

Hence the probability of at least five is given as follows:

P(X >= 5) = 1 - P(X < 5) = 1 - 0.8925 = 0.1075.

The probability of at least one is given as follows:

P(X >= 1) = 1 - P(X = 0)

P(X >= 1) = 1 - (1 - 0.0125)^n.

This probability is of 0.9 when:

1 - (1 - 0.0125)^n = 0.9

(0.9875)^n = 0.1

log((0.9875)^n) = log(0.1)

nlog(0.9875) = log(0.1)

n = log(0.1)/log(0.9875)

n = 183.1.

Rounding up, at least 184 donors must be surveyed.

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Answer:

The answer is D (2 1/2)

Hope u helped

Using the given function and the ordered pairs, we observed that Mr. Poppen pays more initially, to join the club

From the question, we are to determine who pays more initially to join the club between Mr. Poppen and Mrs. Zagorski  

From the given information,

"Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70"

The initial amount paid by Mr. Poppen is the value of y when x is 0

y = 10x + 70

y = 10(0) + 70

y = 0 + 70

y = 70

From the given ordered pairs

(0, 50)

(1, 60)

(2, 70)

(3, 80)

We can conclude that the initial amount paid by Mrs. Zagorski is 50

Hence, Mr. Poppen pays more initially

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Answer:

Step-by-step explanation:

60

8x10x3/4