What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?

Answer:

ASA

Step-by-step explanation:

They are congruent by ASA because they share congruent sides indicated by the single dash marks, their angles correspond to each other, and their vertical angles would have to be congruent. Reading from left to right, the angle comes first, then the side, and then the angle again to make ASA.

Answer:

[tex] \sf \: -7(5d + 2) [/tex]

Step-by-step explanation:

Now we have to,

→ find the equivalent expression.

The expression is,

→ -14 - 35d

Let's solve the problem,

→ -14 - 35d

→ -7(2) - 7(5d)

→ -7(2 + 5d)

→ -7(5d + 2)

Hence, answer is -7(5d + 2).

As the snowplow moves finishing all 234 m long road, it turns 39 times, using this information, the diameter of the tire of the snowplower is 1.9098m.

Taking a tire in 2Dimensions for ease of calculations, the tire appears to be a circle, hence the circumference of the tire is given by the formula pi * d, where pi = 1.34 and d is the diameter of the circle or tire.

The circumference of a circle and the area of a circle are related through the mathematical constant pi (π). The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. The formula for the area of a circle is A = πr^2. As we can see, both formulas involve pi (π) and the radius of the circle. The relationship between the two is that the circumference of a circle is directly proportional to the radius and the area of a circle is directly proportional to the square of the radius.

As per the given condition in the question,

Length of the road = 234 m

number of turns taken by the snowplow(n) = 39

diameter(d) of the tire = ?

As the tire rolls through all the distance of 234 m, we can use the relation,

length of the road = n * circumference of the tire

or , 234 = 39 * pi * d

hence, d = 1.9098 m

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Answer:

Step-by-step explanation:

Since there are 6 faces in a cube and each face is 7x7=49 sq units, the surface area is 49x6=294 sq units

Answer:

Step-by-step explanation:

First you want to subtract 22 from both sides. then the 22s would cross cancel. Next you would divide both sides by 2. then you have an answer.

The greatest common factor of 16 and 24 is 2×2×2

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The prime factorizations of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2

Prime factorization of 24: 2, 2, 2, 3

Now, choosing the common factors = 2, 2, 2

Therefore, the GCF = 2, 2, 2

Hence, The GCF of 16 and 24 is 2, 2, 2

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Please see the attachment below for the answer and work. Hope this helps and you can read my handwriting.

A tangent is a line that touches a curve at a single point, but does not intersect the curve at that point.

The slope of a tangent line at a point on a curve is equal to the derivative of the curve at that point. Therefore, finding the tangent line to a curve at a particular point is equivalent to finding the derivative of the curve at that point.

For example, consider the curve y = x^2. If we want to find the tangent line to this curve at the point (2,4), we can take the derivative of y = x^2, which is y' = 2x. Setting x equal to 2, we find that the slope of the tangent line at (2,4) is 4. We can then use this slope to find the equation of the tangent line: y - 4 = 4(x - 2), which simplifies to y = 4x - 4.

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As calculated from the given data Jane's calorie intake is 1200 per day.

From the details given in the question we can say that Jane doesn't likes milk. Hence, she lacks dairy fat  in her food. As per the given case she likes vegetables and eats fruit a lot. Therefore, and the grams of total caloric intake for her should be 1200 calories per day.

She does, however, lack fats from dairy products like milk. A child of 8 years old is thought to need at least 2 cups of milk or its equivalent each day. Jane is getting enough carbohydrates because she consumes 225 gram per day as opposed to the recommended 130 gram.

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Answer:

(6.25,2.5)

Step-by-step explanation:

Answer:

3h

Step-by-step explanation:

Given function:

[tex]f(x) = 3x + 1[/tex]

To find f(a + h), substitute x = a + h into f(x).

Similarly, to find f(a), substitute x = a into f(x).

Therefore:

[tex]\begin{aligned}\implies f(a+h)-f(a)&=[3(a+h)+1]-[3(a)+1]\\&=[3a+3h+1]-[3a+1]\\&=3a+3h+1-3a-1\\&=3a-3a+3h+1-1\\&=3h\end{aligned}[/tex]

Answer: The correct classification of 2x4 - 8x5 - 2x2 + 5 is 5th-degree polynomial.

We know that the highest exponent of a polynomial is called the degree of the polynomial.

The highest degree of the given polynomial is 5. Hence, from the above-written concepts, we can say that the degree of the polynomial is 5.

Thus, the polynomial is a 5th-degree polynomial.

Step-by-step explanation:

Answer:

5 Dance lessons

Step-by-step explanation:

The cost of taking x dance lessons is 50 + 20x dollars. This should be less than or equal to the amount of money Alexis has, which is 150 dollars. We can represent this relationship with the following inequality:

50 + 20x ≤ 150

This inequality can be simplified to the following:

20x ≤ 100

Dividing both sides of the inequality by 20 gives us the following:

x ≤ 5

Therefore, Alexis can take up to 5 dance lessons within her budget.

Answer:  it is 1,000,000

Answer:

The Equation in Point-Slope Form of the Line Passing through (4, 0) and (2, 6) is 3x + y = 12.

Answer:

3.75 cm

Step-by-step explanation:

We know

1.2 cm = 6.4 km

Point A to Point B = 20 km

To find it, we take

20 divided by 6.4 then times 1.2 = 3.75 cm

So, 20 km is 3.75 cm far on the map.

Data collected over several time periods are called time series data.

Time series data refers to data that is collected over several time periods. It captures a sequence of observations of a variable of interest over time, such as sales figures, stock prices, temperature, and so on. The observations are usually taken at regular intervals, such as daily, weekly, monthly or yearly, and the data reflects the changes in the variable over time.

Time series data is useful for identifying trends, patterns, and seasonality in the data, and for making predictions about future values. It's often used in economic forecasting, weather forecasting, and other fields where understanding how a variable changes over time is important.

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Measure of arc AC equals measure of arc CR = 130° when m arc CR = 130°. CAR = 1/2 CER = 1/2 *120° = 60°, ACR = 1/3 * 180° = 60°, ARC = 1/3* 180° = 60°.

Two straight lines or rays intersect at a same terminus to make an angle.  The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types.

given

CAR is isosceles . so the angle of CER is 120° . ∠ACR = 60° and the inscribed angle of an arc is equal to half of the central angle of the arc ( the circumference angle theorem )

a) ∠ CAR = 1/2 ∠CER = 1/2 *120° = 60°

B) ∠ACR = 1/3 * 180° = 60°

C) ∠ARC = 1/3* 180° = 60°

D) measure of arc AC = measure of arc CR = 130°

E) measure of arc AR = measure of arc CR = 130 °

Measure of arc AC equals measure of arc CR = 130° when m arc CR = 130°. CAR = 1/2 CER = 1/2 *120° = 60°, ACR = 1/3 * 180° = 60°, ARC = 1/3* 180° = 60°.

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According to the information, it can be inferred that the total content of the box is 45 bandages in a ratio of 3:5.

To identify the correct option we must take into account the proportion of bandages of each type that are in the box. Based on this information, we must identify a number in which the proportion of bandages is maintained. Based on the above, the correct answer would be 45, since this number can maintain the proportion of the bandages as shown below.

Additionally, the other answer options are not correct because the proportion of bandages of different types is not maintained.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Options:

A.25

B.30

c.45

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The most popular choice will likely be either Checking out books or Studying.

Based on the sample, about 90 will vote for doing research.

Based on the sample, about 35 % of students will vote for checking out books.

The most popular choice for what students do in the library according to Ramiro's research is Checking out books. The second most popular choice is Studying at 18 people.

The number of who will vote for doing research on a school - wide basis is :

= Number of people who voted research / Number sampled x Number of students in school

= 10 / 60 x 540

= 90 students

The percentage who would vote for checking out books :

= Number of people who voted checking out books/ Number sampled

= 21 / 60

= 35 %

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Answer:

They never break even.

Step-by-step explanation:

Number of days: x

Expenses for x days:

Fixed cost: $5000

Cost per day: $200

Cost for x days: 200x

Income for x days:

12 × $15 × x = 180x

Number of days: x

Total expenses = Total income

200x + 5000 = 180x

Just the daily expense of $200 on food and utilities is greater than the daily income of $180. Then there is the additional initial expense of $5,000, so they will never break even. They start by having an expense of $5,000, and each day they spend $20 more than they receive.

The ratio of the perimeters of the two polygons is the same as the ratio of their scale factors. Since the scale factor of the smaller polygon to the bigger polygon is 5:9, the ratio of their perimeters is also 5:9.

Answer:

(-1/5)>=(-2/7)×x

by dividing both sides by (-2/7)

(-1/5)÷(-2/7)<=x

Simplify the inequality

7/10<=x so x>=0.7 so x belongs to the interval [7,inf)

The equation is represented as 6 + c/7 = 9 where c is the unknown number and the value of c = 21

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as c

A = Six more than the quotient of a number and 7 is equal to 9

Substituting the values in the equation , we get

6 + ( c / 7 ) = 9   be equation (1)

On simplifying the equation , we get

6 + c/7 = 9

Subtracting 6 on both sides of the equation , we get

c/7 = 9 - 6

c/7 = 3

Multiply bu 7 on both sides of the equation , we get

c = 21

Therefore , the value of c is 21

Hence , the equation is 6 + c/7 = 9 and c = 21

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The amount of time spent in the bowl is 1 1/4 hours

From the question, we have the following parameters that can be used in our computation:

Total time = 1 1/2 hours

Time to rise = 1/4 hour

This means that

Time spent in the bowl = Total time - Time to rise

Substitute the known values in the above equation, so, we have the following representation

Time spent in the bowl = 1 1/2 - 1/4

Evaluate the like terms

Time spent in the bowl = 1 1/4

Hence, the time is 1 1/4 hours

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Answer:

5-60x

12x

Step-by-step explanation:

= 3/4x-1 - 1/3x-4

= 3/4x - 5 - 1/3x

= 9-60x-4

12x

= 5 - 60x

12x

The amount of a 160 mg sample remains 5 milligrams after 2160 hours.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

The half-life of As-74 is 18 days.

The amount of a 160 mg sample remains after 2160 hours,

= 160 x (1/2[tex])^{90/18}[/tex]

= 160 x (1/2)⁵

= 5 mg.

Therefore, the sample remains 5 mg.

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The simplified area function in terms of y for the rectangle is 8y² + 32.

The area of rectangle is derived by multiplying the length by the width.

The square have all side length to be y each, if the length of the rectangle is 8 times the side length of the square then;

Length of rectangle = 8y

if the width of the rectangle is 4 units longer than the side length of the square then;

Width of rectangle = y + 4

area of rectangle = 8y(y + 4)

by expansion;

area of rectangle = 8y² + 32

Therefore, 8y² + 32 is the simplified area function in terms of y for the rectangle.

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The given quadrilateral is found to be a square. The correct option is (D).

A parallelogram is a type of quadrilateral of which the opposite sides are equal and parallel. A diagonal of a parallelogram divides it into two congruent triangles.

For the quadrilateral TUVW the data is given as,

TU || VW, UV || WT, TV = UW and TV ⊥ UW.

Here, TU and VW are pairs of opposite side.

And, TV and UW are diagonals.

Now, the pair of opposite sides are parallel.

Which implies it is a parallelogram.

Again, the equality of diagonals implies it is rectangle.

Then, the perpendicular nature of diagonals satisfy the condition for a square.

Hence, the given quadrilateral is a square.

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The linear function that models the cost of Dario's text message bill is given as follows:

C(x) = 5 + 0.15(x - 250), x ≥ 250.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the parameters are given as follows:

The table starts at 250, with a cost of $5, hence the intercept is given as follows:

b = 5.

For each two messages sent, the cost increases by $0.30, hence the slope is obtained as follows:

0.3/2 = $0.15.

Meaning that the function is defined as follows:

C(x) = 5 + 0.15(x - 250), x ≥ 250.

The context is given by the image presented at the end of the answer.

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