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QUESTION: Find three consecutive integers where the sum of the first and the twice second is 35.

Answer:

1

Step-by-step explanation:

Part (a)

\(R(1)=\frac{2000(1)^2}{1^2+4}=400\)

Part (b)

\(R(2)=\frac{2000(2)^2}{2^2+4}=1000\)

Answer:

(a) 400

(b) 1000

In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

Answer:

3 days

Step-by-step explanation:

Population growth of the insects after 6 days

= 280-90

= 190

(500-90)÷190=410÷190

=3 days (rounded up)

Answer:

5-7 x = 2

Step-by-step explanation:

a number times negative seven added to five equals two

"a number times negative seven added to five equals two" is represented by expression 5-7x=2

An expression is combination of variables, numbers and operators.

The given sentence is "a number times negative seven added to five equals two"

Here let us consider the unknown number to be x.

As in the sentence we have a number times negative seven.

Times in the sentence means product. So the number x is multiplied with -7. i.e is -7x

Now a number times negative seven added to five.

This means 5 is added to -7x

-7x+5

"a number times negative seven added to five equals two" means -7x+5 is equal to two

-7x+5=2

5-7x=2

Hence the "a number times negative seven added to five equals two" is represented by expression 5-7x=2

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

In total, the number of greetings will be 1159.

Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.

The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.

The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.

The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.

In total, the number of greetings will be 38 + 760 + 361 = 1159.

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Answer: 119.28

Step-by-step explanation:

the formula for surface area of a rectangular prism is 2(width×length+height×length+height×width)

in this case, it would be 2×(2.1×8.4+4×8.4+4×2.1)=119.28

Answer:

m=2

Step-by-step explanation:

Question:

Solution:

If we need to calculate the sum of squares of n consecutive natural numbers, the formula is:

the above formula can be proved by applying mathematical induction. Now, if we apply this formula, we get the solution:

so that, we can conclude that the correct answer is:

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Answer:

$8,051.62

Step-by-step explanation:

Compound interest formula

\(\sf A=P(1+\frac{r}{n})^{nt}\)

where:

Given:

Substituting given values into the formula:

\(\implies \sf A=5000(1+\frac{0.06}{4})^{4 \times 8}\)

\(\implies \sf A=5000(1.015)^{32}\)

\(\implies \sf A=8051.62\:(nearest\:hundredth)\)

Rate of interest

So

Compound ineterest formula to be used

The point (0, 6) on the line perpendicular to the given line, passing through the given point that is also on the y-axis.

The given coordinates are (-6, -4) and (0, 6).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Now, put (x1, y1) = (-6, -4) and (x2, y2)=(0, 6) in slope formula m = (y2-y1)/(x2-x1)

So, m = (6+6)/(0+4)

= 12/4

= 3

The point on the line perpendicular to the given line,

Then the slope = -1/m

= -1/3

Substitute m=-1/3 and (x, y) = (0, 6) in y=mx+c, we get

6 = -1/3 (0) + c

⇒ c = 6

Now, substitute m=-1/3 and c = 6 in y=mx+c, we get

y = -1/3 x+ 6

Line is passing through y-axis, so y = -1/3 (0) +6

y=6

Therefore, the point (0, 6) on the line perpendicular to the given line, passing through the given point that is also on the y-axis.

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Answer:

Step-by-step explanation:

(0, −3.6) jst did this

The average number of viewers over the two weeks is 3.85 x 10 ^4

The given parameters are

Week 1 = 3.6 x 10 ^4 viewers

Week 2 = 4.1 x 10 ^4 viewers

The average is calculated as

Average = (Week 1 + Week 2)/2

This gives

Average = (3.6 x 10 ^4 + 4.1 x 10 ^4)/2

Evaluate the sum

Average = (7.7 x 10 ^4)/2

Evaluate the quotient

Average = 3.85 x 10 ^4

Hence, the average number of viewers over the two weeks is 3.85 x 10 ^4

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Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

Answer: She missed 5 targets

Step-by-step explanation:

-75/ -15

5 targets missed

Answer: 11 1/2 laps

Step-by-step explanation:

18-7=11

1/4-3/4=1/2

Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.

We are given his total, though, and asked to find the mileage.

18.99 + .75m = 199.74

-18.99 -18.99

.75m = 180.75

.75 .75

m = 241

So, John drove 241 miles.

Hope this helps!

I

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

After transformation, the point (-1,2) in the image would be (-1,-2)

Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.

First, we must mirror the point (-1, 2) around the line y=-x.

(X, Y) is the rule (-y,-x)

you obtain (-1,2)—>(-2,1) (-2,1)

At this point, you must rotate (-2,1) by 90 degrees.

(X, Y) is the rule ( -y,x)

so (-2,1)—> (-1,-2) (-1,-2)

After transformation, the point (-1,2) in the image would be (-1,-2)

The complete question is,

What is the image point of (-1,2) after the transformation R 90° ry=-x

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the question isn't true so that means it's false

Answer:

27

Step-by-step explanation:

Given expression :  

    1 + 24 + ( + 3) = 1

Bring the number 1 to the left side of the equal sign. The positive 1 becomes negative 1 when brought towards the left side of the equal sign.

1 + 24 + ( + 3) - 1 = 0

Now, opening the bracket, we get

1 + 24  + 3 - 1 = 0

Negative 1 and positive 1 will get cancel

24  + 3  = 0

or 27

Therefore, the value of the numerical expression  1 + 24 + ( + 3) = 1 is 27.

Answer:

5:3

Step-by-step explanation:

140:84 =

35:21 =

5:3

Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)

The ratio is 5:3

A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given:

Total participants= 224

nonresidents =84

So, residents= 224-84 = 140

Now, ratio of residents to nonresidents

=140/84

=70/42

=10/6

=5/3

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Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

Answer:

2 1/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)

Subtracting a negative is like adding

-5 1/4 + (7 1/2)

Get a common denominator

-5 1/4 + (7 1/2 *2/2)

-5 1/4 + (7 2/4)

Since the signs are different, we subtract the smaller from the larger and take the sign of the larger

7 2/4 - 5 1/4

2 1/4

Answer:

B) 2 1/4 or 9/4

Step-by-step explanation:

-5 1/4=-21/4

-7 1/2=-15/2

------------------

-21/4+15/2

-21/4+30/4

9/4

From the table, we can write that

1000 meters = 1 km

so,

3500 meters = 1/1000 * 3500 = 3.5km

similarly,

500 meters = 1/1000 * 500 = 0.5 km

75 meters = 1/1000 * 75 = 0.075

1 meter = 1/1000 * 1 = 0.001

x meters = 1/1000 * x = x/1000 meters

1. The value of 34% of 850 is 289.

3. The amount that Kepley paid for the tool is $120.

From the information, we want to calculate 34% of 850. This will be calculated thus:

= 34% ×850

= 34/100 × 850

= 0.34 × 850

= 289

The amount paid for the tool will be:

= Price or tool - Discount

= $200 - (40% × $200)

= $200 - $80

= $120

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Answer:

Swap the direction of the inequality

Step-by-step explanation:

Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <