Match The Reasons To The Statement ( Will Mark Brainiest If Optional)Match The Reasons To The Statements.a) (2024)

Solution to the questions are: (1) 3.95

(2)19.92

(3) 5.45

(4) 42.18

(5) 21.77

(6) 57.84

What is Simplify?

Simplify in mathematics is a simple way of bringing down a problem, fraction or word expression into an easier from

1. ( 1.8 + 3.44 ) x 0.75

Simplify the equation using

=(5.24) x 0.75

=3.95

2. (8.29 - 0.32) ÷ 0.4

Rewrite the equation and simplify

=[tex]\frac{8.29 -0.32}{0.4}[/tex]

=[tex]\frac{7.97}{0.4}[/tex]

=19.92

3. 7.58 (1.5 x 0.24) ÷ 0.5

Rewrite the equation and simplify

=[tex]\frac{7.58(1.5 * 0.24) }{0.5}[/tex]

= [tex]\frac{7.58 (0.36)}{0.5}[/tex]

= [tex]\frac{2.728}{0.5}[/tex]

= 5.45

4. (16.45-5.05) x (2.46 + 1.24)

Simplify the equation

=(11.4)x (3.7)

=42.18

5. (7.1 x 2.3) ÷ (1.25 x 0.6)

Rewrite the equation and simplify

= [tex]\frac{7.1 * 2.3}{1.25 * 0.6}[/tex]

= [tex]\frac{16.33}{0.75}[/tex]

= 21.77

6. (4.19 + 6.8) ÷ (0.34-0.15)

Rewrite the equation and simplify

= [tex]\frac{4.19 + 6.8 }{0.34 - 0.15}[/tex]

= [tex]\frac{10.99}{0.19}[/tex]

= 57.84

Therefore, the solution to the equations are ;(1) 3.95

(2)19.92

(3) 5.45

(4) 42.18

(5) 21.77

(6) 57.84

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The volume of the droplets in cubic meters would be = 1×10^-7 cubic meters.

What is water droplets?

Water droplets can be defined as the formation of small ball like structures with water due to the action of surface tension of liquid.

To convert cubic centimetres to cubic meters the following is carried out;

1 cubic meter = 1,000,000 cubic centimetres.

X cubic meters = 0.1 cubic centimetres

Make X cubic centimetres the subject of formula;

X cubic meters = 0.1× 1/1,000,000

X cubic meters = 1×10^-7.

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Step-by-step explanation:

[tex]1 - (\frac{1}{4} + \frac{2}{3}) \\ = 1 - ( \frac{3 + 8}{12}) \\ = 1 - ( \frac{11}{12} ) \\ = \frac{1}{12} [/tex]

Answer:

[tex]1 \frac{7}{12}\; \sf pounds[/tex]

Step-by-step explanation:

To find the amount of flour Grandma has left over, subtract the amount she used to make rolls from the original amount.

Given calculation:

[tex]3 \frac{1}{4}-1 \frac{2}{3}[/tex]

Convert the mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

[tex]\implies \dfrac{3 \times 4+1}{4}-\dfrac{1 \times 3+2}{3}[/tex]

[tex]\implies \dfrac{13}{4}-\dfrac{5}{3}[/tex]

Change both fractions into equivalent fractions so both fractions have the same denominator:

[tex]\implies \dfrac{13 \times 3}{4\times 3}-\dfrac{5 \times 4}{3 \times 4}[/tex]

[tex]\implies \dfrac{39}{12}-\dfrac{20}{12}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\implies \dfrac{39}{12}-\dfrac{20}{12}=\dfrac{39-20}{12}=\dfrac{19}{12}[/tex]

Divide the numerator by the denominator:

[tex]\implies 19 \div 12 = 1 \; \sf remainder \; 7[/tex]

The solution as a mixed number is the whole number and the remainder divided by the denominator:

[tex]\implies 1 \frac{7}{12}[/tex]

The units price are:

For brand A: $0.0796For brand B: $0.0926

Then brand A is the better option.

How to find the unit price?

If you know that a set of N items has a price P, then the unit price is given by the quotient between the price and the number of items that you get, N.

For Brand A, we know that there are 25 spoons for $1.99, then in this case the unit price is:

a = $1.99/25 = $0.0796

For Brand B the set has 42 spoons for $3.89, then the unit price is:

b = $3.89/42 = $0.0926

So we can see that Brand A has a lower unit price, meaning that is a better option.

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Answer:

x=4

Step-by-step explanation:

Square root of four equals 2 then +2 = 4

Answer:Smallest + Middle + Largest = 53

M= S + 2

L = 2S

Substitute M= S +2 and L = 2S into S + M + L =53

S + S + 2 + 2S = 53

4S + 2 = 53

4S/4 = 51/4

S = 12.75

M = 12.75 + 2

M = 14.75

L = 2 (12.75)

L = 25.5

Step-by-step explanation:

It is called an identity function because the image of a domain element is identical to the range output.

Why is it called identity function?It is called an identity function because the image of a domain element is identical to the range output. As a result, an identity function translates every real number to itself. An identity function's output is the same as its input.In the context of the code in your question, an identity function is just a function that returns the same argument that was supplied to it: In mathematics, it is represented as f(x) = x.

In given liner function on the Graph, domain element is identical to the range

hence the function we can call Identity Function.

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It is called an identity function because the image of a domain element is identical to the range output.

Why is it called identity function?It is called an identity function because the image of a domain element is identical to the range output. As a result, an identity function translates every real number to itself. An identity function's output is the same as its input.In the context of the code in your question, an identity function is just a function that returns the same argument that was supplied to it: In mathematics, it is represented as f(x) = x.In given liner function on the Graph, domain element is identical to the range.

Hence the function we can call Identity Function.

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The solution of the polynomial equation x(x - 2) = 48 by factoring is x = 8 or x = -6

How to use factoring to solve the polynomial equation?

Given the polynomial equation x(x−2) = 48

x(x−2) = 48

x² - 2x = 48

x² - 2x - 48 = 0

x² -8x+6x - 48 = 0

By factoring the equation, we have:

x(x-8) + 6(x-8) = 0

(x-8) (x+6) = 0

x-8 = 0 or x+6 = 0

x = 8 or x = -6

Therefore, the solution of the polynomial equation is x = 8 or x = -6. Type x = 8 or x = -6 in the answer box

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Answer:

Kendra will donate $9.86 to her Best Friend's Animal Society.

Step-by-step explanation:

In order to find this answer, we need to multiply $11.60 by the 8.5 hours:

11.60 x 8.5 = $98.60

Now, if she donates 1/10 every week, we can turn 1/10 into 0.10. And on a calculator set up this equation:

0.10 x 98.60 = $9.86

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer: ________________________________________________

f(x) = -1/2x

Answer:

Step-by-step explanation:

slope = y2-y1/x2-x1

-2-1/4-(-2)=-3/6=-1/2 or -0.5

The probability that Ahmad selects two blue marbles from the two jars is of:

10%.

How to calculate a probability?

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Ahmad moves 2 blue marbles from one jar to another jar, hence the distribution of colors on each jar will be given as follows:

First jar: 3 blue and 10 red marbles.Second jar: 7 blue and 10 red marbles.

Hence the probability of selecting a blue marble from each jar will be given as follows:

First jar: 3/13. -> 3 out of 13 marbles are blue.Second jar: 7/17. -> 7 out of 17 marbles are blue.

Then the probability of both marbles being blue is of:

p = 3/13 x 7/17 = 0.1 = 10%. (rounded).

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Answer:

y = 5/2x - 8

Step-by-step explanation:

Answer:

[tex]1.7\geq b[/tex]

Step-by-step explanation:

3.5>=b+1.8

-1.8. -1.8

1.7>=b

Hopes this helps please mark brainliest

The expression using distributive property becomes 7n - 35

What is distributive property of multiplication?

The distributive property is also known as the distributive law of multiplication over addition and subtraction.

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.

Using this distributive law, A × (B + C) = AB + AC. to re-write the expression -7(5 - n), A = -7, B = 5 and C = -n

we have -7(5 - n) = (-7 x 5) + (-7 x -n)

which is further simplified as (-35) + (7n) = 7n - 35

In conclusion, the re-written form of -7(5 - n) in distributive form is 7n - 35

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Formula a = 2b + c in subject to b is b = a-c / 2

Changing the subject of formula is a way of rearranging formula to determine missing variable in terms of other variable

Changing the subject of formula is also known as rearranging formula or changing the subject of an equation.

Given ,

Formula : a = 2b + c

Subtracting by c on both sides,

=> a - c = 2b + c - c

=> a - c = 2b

Dividing by 2 on both sides,

=> [tex]\frac{a-c}{2} = b[/tex]

Formula in subject to b is

b = a-c / 2

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The equation for the sentence below is x - 23 = 28.

The solution to the equation is x = 5.

How to model a sentence with an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Therefore, the sum of a number(x) and - 23 is 28 can be represented with an equation as follows:

The unknown number is x.

Hence,

x + (-23) = 28

Therefore, the equation from the sentence above is x - 23 = 28.

Now, let's solve the equation for x as follows;

x - 23 = 28

add 23 to both sides of the equation

x - 23 + 23 = 28 - 23

x = 5

Therefore, the value of x is 5

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The values of a, b and c when comparing ⁷√(6³) with [tex]a^\frac{b}{c}[/tex] are 6, 21 and 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

⁷√(6³)

Applying the law of exponents gives:

= √[(6³)⁷]

= √[6²¹]

[tex]=6^\frac{21}{2}[/tex]

Given the form [tex]a^\frac{b}{c}[/tex], the values of a, b and c are 6, 21 and 2

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260 occurrences of the letter e we can expect to find.

Frequency = 13%

Total letters = 2000

E letters = 13% of 2000

= (13/100)*2000

= 13*20

= 260

Hence, there are 260 e letters in 2000 of total letters.

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Answer:

x = - 4

Step-by-step explanation:

6x + 2 = 2x - 14 ( subtract 2x from both sides )

4x + 2 = - 14 ( subtract 2 from both sides )

4x = - 16 ( divide both sides by 4 )

x = - 4

6x + 2 = 2x - 14

We move all terms to the left:

6x + 2 - (2x - 14) = 0

We get rid of the parentheses.

6x- 2x + 14 + 2 = 0

We add all the numbers and all the variables.

4x + 16 = 0

We move all terms containing x to the left hand side, all other terms to the right hand side

4x = -16x= -16/4x=-4

There are numerous reasons to use number lines to teach positive and negative numbers. But the following which is not used number line is B) Number lines match several familiar situations, like altitude, temperature, and football.

What is number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it. Just to refresh your memory, the whole number is a collection of numbers that contains both zero (0) and all counting numbers (1, 2, 3,4,5,6), whereas the natural number is a collection of all counting numbers (1, 2, 3,4, 5, 6). Comparing numbers is made simpler by writing them on a number line. As seen in the aforementioned graphic, the integers on the left are smaller than the integers on the right. For instance, 0 is lower than 1 and -1

Here the reasons we use number line for to teach positive and negative numbers is ,

=> Children are taught the fundamentals of addition and subtraction in mathematics using number lines with negative and positive numbers. It can also be used to multiply by skipping counts. The use of positive or negative signs makes it challenging to solve equations involving negative integers on a number line.

=> Number lines can be utilised in a variety of various ways, despite the fact that it may seem like addition, subtraction, and multiplication principles are best taught to children using number lines. The negative number line and positive number line are used by people to compute and measure specifics. These lines display the values' substantial increases and decreases.

Therefore the correct option is B)Number lines match several familiar situations, like altitude, temperature, and football.

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The area of the triangle is x + 1 cm², while the area of the rectangle is x cm². Therefore, there is no value of x that makes the areas of both figure equal, because there is no solution to the equation.

How to Find the Areas of Rectangle and Triangle?

A triangle's area = 1/2(base)(height)

A rectangle's area = length × width.

Area of the green triangle = 1/2(x + 1)(2)

Area of the green triangle = x + 1 cm²

Area of the rectangle = x × 1

Area of the rectangle = x cm²

Setting both areas equal, we have:

x + 1 = x

x - x = -1

0 = -1 [not true]

There's no solution or the values of x.

Therefore, we can conclude that there are no values of x for which the areas of both shapes are equal, because there is no solution to the equation.

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Answer:

x = 9

Step-by-step explanation:

7x + 18 = 81

-18 -18

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

7x = 63

÷7 ÷7

-----------

x = 9

I hope this helps!

After the subtraction, the simplified value is 16 hours : 9 minutes : 22 seconds

Subtraction

Subtraction means the process of finding the difference between two or more numbers.

Given,

Here we have the timings.

9h 24min 13s

-6h 45min 9s

Now, we have to perform the subtraction on it and also write it in the simplified form.

In order to perform the subtraction, we have to convert the given timings into decimal form, then we get,

=> 9h 24min 13s = 9.4036

Similarly, the second one is converted as decimal form, like

=> - 6h 45min 9s = -6.7525

Now, we have to perform the subtraction on it,

=> 9.4036 - (-6.7525)

=> 16.1561

Now, we have to convert this into time format, then we get,

=> 16 hours : 9 minutes : 22 seconds

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a) An equation to describe the relationship between time and the number of restaurants in the United States, with 2012 as the base, is Y = 980 + 16.5x.

b) Using this equation, we can predict that the number of restaurants in 2018 will be 1,079 thousand.

What is an equation?

An equation is a mathematical statement or function claiming that two mathematical expressions that may combine numbers, variables, and constants are equal or equivalent.

Equations are depicted with the equation symbol (=) to establish the equality of expressions.

The number of thousands of restaurants in the United States:

2012 = 980

2016 = 1,046

4 years (2016 - 2012) = 66 more restaurants (1,046 - 980)

In 1 year = 16.5 more restaurants (66/4)

Ordered Pairs:

(0, 980) and (4, 1,046)

The equation:

Y = 980 + 16.5x

Where Y = the number of thousands of restaurants in the year

x = the number of years past.

In 2018, the number of restaurants, Y = 980 + 16.5x

The number of years between 2018 and 2012 = 6 years

The expected number of restaurants Y = 980 + 16.5(6)

= 1,079.

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The values of x that makes the inequality true are within the range x < -6

What is an inequality?

An inequality is a mathematical statement that shows that two quantities are unequal.

In such an expression the quantity at the left is either equal to and greater than, greater than, less than and equal to or greater than.

[tex]\frac{x + 6}{6 - x}[/tex] < 0

By cross multiplying,

x + 6 < 0

x < -6

In conclusion, the values of x for which the inequality is true is x < -6

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Answer: C

Step-by-step explanation: for any of my edgen. people.

The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.

Given:

jared has $50 to spend on some new clothes for school. if the sales tax rate in his state is 6% the pretax total comes to $48.92.

sales tax = 6% = 6/100 = 0.06.

= 0.06 * 48.92

= $2.935.

Total due = sales tax + pretax total

= $48.92 + $2.935

= $51.855

Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.

Therefore The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.

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The answer of 11/3*7/3*5/3 after multiplication is 385/27.

According to the question,

We have the following expression:

11/3*7/3*5/3

We know that when we multiply two more than two fractions then numerator is multiplied into the numerator and the denominator is multiplied into the denominator of another fraction.

So, we have the following expression after multiplying first two fractions:

77/9*5/3

Now, again repeating the above step:

385/27

(This can not be further classified into the simplest form because the numerator and denominator of this fraction can not be divided by one number.)

Hence, the answer of 11/3*7/3*5/3 after multiplication is 385/27.

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The zeroes of the function will be negative 2 and 1.

How to get polynomials with zeroes?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The intersection of the curve with the x-axis will be (-2, 0), and (1, 0).

Thus, the zeroes of the function will be negative 2 and 1.

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False Credentials: The "grant" was a fake certification rather than something that was given to Irvine.

False Experience: He was serving the president food. The fact that he was simply a line, however, was revealed

False chronology: Five Star Diamon Award for a couple of back-to-back years. However, it was found that it was not consecutive.

Embellished experience: it was discovered that he had only chosen particular organic ingredients for the cake, didn't handle it

False References: The queen of England personally selected him for knighthood, which was inaccurate since it will never happen.

What is a resume?

A resume is a formal record that a candidate for a job makes to list their qualifications for the position. A personalized cover letter is typically included with a resume, in which the candidate expresses interest in a particular position or business and highlights the key information on the CV.

False Credentials: Robert Irvine misrepresented his education and experience by claiming on his résumé that he had completed a four-year program at the University of Leeds to earn a degree in food and nutrition. The college claimed they were unable to find any concrete connections between Irvine and the college in their records. Additionally, Irvine had to pay to participate in order to receive the "gift," making the American Academy of Hospitality Sciences anything but a licensed group. In this way, the "grant" was a fake certification rather than something that was given to Irvine.

False Experience: Irvine claimed to be a gourmet chef for the White House and implied that he was serving the president food. The fact that he was simply a line, however, was revealed

False chronology: According to Irvine, the American Academy of Hospitality Sciences gave him the Five Star Diamon Award for a couple of back-to-back years. However, it was found that it was not consecutive.

Embellished experience:He claimed on his resume that he had handled the wedding cake for Prince Charles and Princess Diana, although this was an inflated experience. Nevertheless, it was discovered that he had only chosen particular organic ingredients for the cake.

False References: Finally, he claimed that the Queen of England personally selected him for knighthood, which was inaccurate since it will never happen.

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