Alex owns 18 more books in his sister scout it together they own 66 books how many books does Alex own

Answers

Answer 1

By answering the above question, we may state that by equation A = S + 18 = 24 + 18 = 42 and Alex thus owns 42 books.

What is equation?

Using the equals notation (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of three mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are inscribed on opposite sides of a letter. Most of the time, the symbol and the particular software match. e.g., 2x - 4 = 2 is an example.

Let's designate the quantity of books Alex has as "A" and the quantity of books his sister Scout owns as "S."

We learn the following from the issue:

A = S + 18 (Alex possesses 18 more books than his sister) (Alex owns 18 more books than his sister)

A + S = 66 (combined, they possess 66 books) (together, they own 66 books)

These two equations can be used to determine A:

The first equation is substituted into the second equation to yield:

(S + 18) + S = 66

2S + 18 = 66

2S = 48

S = 24

Scout has 24 books, thus we can apply the first equation to determine how many books Alex has:

A = S + 18 = 24 + 18 = 42

Alex thus owns 42 books.

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Related Questions

Multiply.

[−135⋅(−6)]⋅(−334)⋅10

Answers

Answer:

-2705400

Step-by-step explanation:

[−135⋅(−6)]⋅(−334)⋅10

[810} · (-334) · 10

[810] · -3340

-2,705,400

I hope this helps!

When a certain odd number is divided by 5, the remainder is 1.
Which digit must be in the unit's place of the odd number?

Answers

The digit at unit's place of odd number should be 1 to be divisible by 5  and have remainder 1.

Odd numbers are the numbers that cannot be divided into two equal parts.

In odd numbers the digits in the units place always remains 1,3,5,7 and 9.

According to the question the odd number is divided by 5 and the remainder is 1.

For the number to be divisible by 5 and have remainder 1 the digit that must be in the unit place will be 1

If we see all the digits in units place of odd numbers then 1 is the only possibility as if it is 3 then the remainder will be 3. If it is 5 then the remainder will be 0, if it is 7 then the remainder will be 2 and if it is 9 then the remainder will be 4.

Hence the digit at unit's place of odd number should be 1.

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What two consecutive perfect squares does 10 lie between

Answers

Answer:  9 and 16

===========================================================

Explanation:

The list of perfect squares is 1, 4, 9, 16, 25, 36, 49, ...

A perfect square is the result of multiplying some whole number with itself

Examples:

1^2 = 1*1 = 1

2^2 = 2*2 = 4

3^2 = 3*3 = 9

4^2 = 4*4 = 16

and so on. We see that 10 is between the perfect squares 9 and 16

4. Avi thinks about how clock fractions can be used for division. He thinks
about what fractions correspond to 45 minutes and 15 minutes on a clock.
What is 45+ 15? Write the corresponding fractions and their quotient. Write
the fractions and quotients corresponding to the other times given below in
minutes. Explain how you divide fractions.
45 ÷ 15 =
60 ÷ 30 =
20 + 40 =
3
Hy
30 ÷ 10 =
3
15320
11
||

Answers

3-2-60-3…—— 45 + 15 60

thank you so much i almost failed

Answers

Answer:

haha what happened, ur welcome

ofc ofc

rearrange the equation to make x the subject a=4x/t-p

Answers

If we rearrange the equation to make x the subject a=4x/t-p, then we will have [tex]x= \frac{a(t-p)}{4}[/tex]

How can the  equation be re arrange to  make x the subject a=4x/t-p?

from the question we were given the equation a=4x/t-p which is required to rearrange so that X can be made the subject of the formular, and this can be done below:

[tex]a=\frac{4x}{t-p}[/tex]

[tex]4x= a(t-p)[/tex]

[tex]x= \frac{a(t-p)}{4}[/tex]

Therefore If we rearrange the equation to make x the subject a=4x/t-p, then we will have , [tex]x= \frac{a(t-p)}{4}[/tex] because if we make the x the subject of the formular it will stay alone at the one side when all other term at the opposite side.

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NOTE; This is a complete question , no given option , even on internet.

A diagonal of a rectanglar field is 16.9m. If the ratio of the length to the width is 12:5, find the (a) dimensions, (b) Perimeter of the field​

Answers

we get that the length of the rectangular field is 15.6 m, width is 56.5 m and the perimeter is 44.2 m.

The diagonal of a rectangular field = 16.9 m

d = 16.9 m

Ratio of length to the width is 12 : 5

Let length be 12 x

Width = 5 x

We get that:

16.9² = (12 x)² + (5 x)²

285.61 = 144 x² + 25 x²

169 x² = 285.61

x² = 285.61 / 169

x² = 1.69

x = √1.69

x = 1.3 m

Length = 12 (1.3 m) = 15.6 m

Width = 5 (1.3 m ) =6.5 m

Perimeter = 2 ( l + w)

P = 2( 15.6 + 6.5)

P = 2(22.1) m

P = 44.2 m

Therefore, we get that the length of the rectangular field is 15.6 m, width is 56.5 m and the perimeter is 44.2 m.

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Identify the correct solution to the problem 3 x 9/10.

2 x 9/10
3 x 9/10
3 x 7/10
2 x 7/10

Answers

3x 9/10 that should be the answer

The correct solution to of 3 x 9/10 is 3 x 9/10.

The correct option is (B).

What is fraction?

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

The denominator shows how many pieces were used to split the entire. Under the fractional bar, it is positioned in the lower portion of the fraction.How many of the fraction's segments are represented or chosen is shown in the numerator. It is positioned in the fraction above's upper portion.

Given:

3 x 9/10

1. 2x 9/10

= 18/10

= 1.8

2. 3 x 9/10

= 27/10

= 2.7

3. 3 x 7/10

= 21/10

= 2.1

4. 2 x 7/10

= 14/10

= 1.4

Hence, the correct solution is 3 x 9/10.

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Find the midpoint M of the line segment joining the points C = (-8, -8) and D = (-2, 6)?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-8})\qquad D(\stackrel{x_2}{-2}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 -8}{2}~~~ ,~~~ \cfrac{ 6 -8}{2} \right) \implies \left(\cfrac{ -10 }{2}~~~ ,~~~ \cfrac{ -2 }{2} \right)\implies (-5~~,~~-1)[/tex]

what the sum of 4 15and9 15

Answers

415+915 ? it’s 1330 .

What is 3 5/8 in decimal form?

Answers

Answer:

35/8

step 1: turn the mixed fraction to an improper fraction =29/8

step 2: divide 29 by 8 ,it gives you 3

that and a remainder of 5 don't forget to place your decimal piont

step 3:place 0 at the back of 5 it then becomes 50 so we can easily divide 8 by 50

50 divided by 8 is 6 that gives a remainder of 2

step 3:place 0 at the back of 2 like earlier then it becomes 20

divide 20 by 8 ,this gives you 2 and a remainder of 4

step 4:place 0 at the back of 4 as done earlier , divide 40 by 8

it gives you 5 with no remainder

so your answer finally becomes 3+0.625 which is 3.625

a bag contains 6 red balls 8 balls and an unknown number of yellow balls the probability of randomly choosing a green ball from the bag is 25%

1:1 show that there are 32 balls in the bag​

Answers

The concept here used is probability.

Probability is the quantitative relation of range|the amount|the quantity} of outcomes in  thorough set of equally possible outcomes that manufacture a given event to the whole number of doable outcomes

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

we are given red balls=6

                     green balls=8

    Let yellow balls be x.

total balls=green+red+yellow =14+x

according to the question the probability of green balls is 25% i.e 1/4

probability of green balls=green balls/total balls

8/14+x = 1/4

On cross multiplying we get 32=14+x

x=18

The green balls are 18

total balls=green+red+yellow =32

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In 2013, there were 50,304 runners in the New York City Marathon. Each runner runs a distance of 26.2 miles. If you add together the total number of miles for all the runners, how many times would they run back and forth from the earth to the moon? Consider the distance from the earth to the moon to be 2.389 x 105 miles.

Answers

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

What is an equation?

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

There are 50,304 runners and each runner runs a distance of 26.2 miles. Hence:

Total distance ran by runners = 26.2 miles * 50304 = 1317964.8 miles.

The distance from the earth to the moon is 2.389 x 10⁵ miles, hence:

Ratio of total distance to distance from earth to moon = 1317964.8 miles/ (2.389 * 10⁵) = 5.516

Time ran back and forth = 5.516 / 2 = 2.76

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

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lots of points pls answer

Answers

The table is a function, the graph is a function, but the mapping diagram is not a function.

What is a function?

Any statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable. In mathematics and the sciences, functions are fundamental for constructing physical connections.

In the given table and graph, each input value is paired with only one output variable, so the relation given in these are functions. But in the mapping diagram two inputs are paired with more than one output, so it is not a function.

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a household consists of a married couple, their twin three-year-old sons, and their twin eight-year-old daughters. the couple's children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last year's tax return if they file with the "married filing jointly" status?

Answers

Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.

What is the meaning of "married filing jointly" tax status?

If a person and their spouse file taxes using the "married filing jointly" status, it means that two exemptions are claimed, one for the person and one for the spouse.

For this problem, the exemptions are given as follows:

Two for the couple, as they use the "married filing jointly" status.A total of four for the children, one for each children, considering that they have two children.

2 + 4 = 6.

Hence:

Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.

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Answer:

6

Step-by-step explanation:

simple 2+4=6

Write each fraction in order from least to greatest values 1/15 5/6 7/10 1/2

Answers

Answer:

1/15, 1/2, 7,10,5/6

Step-by-step explanation:

I just got this right in my test.

Answer:

FROM LEAST TO GREATEST:

1/15, 1/2, 7/10, 5/6

Step-by-step explanation:

1 divided by 15 is 0.066666

5 divided by 6 is 0.8333333

7 divided by 10 is 0.7

1 divided by 2 is 0.5

Use inverse operations to write one more correct number sentence for each of these:

a) 6x8 48

b) 29-15 = 14

Answers

The inverse operation for given sentences are 48 ÷ 8 = 6 and 14 + 15 = 29

What is inverse operation?

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse. The impact of one operation on another is reversed by using inverse operations.

The inverse operation for the the equations are -

a) 6x8 = 48

⇒ 48 ÷ 8 = 6

b) 29-15 = 14

⇒ 14 + 15 = 29

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solve and check the following equation ​​

Answers

Answer:

10

Step-by-step explanation:

→ Expand brackets

-5.4 + 0.55x = 0.05x - 0.4

→ Minus 0.05x from both sides

-5.4 + 0.5x = -0.4

→ Add 5.4 to both sides

0.5x = 5

→ Divide both sides by 0.05

x = 10

Write in decimal form then expanded form need help please!!

Answers

Answer: 49.017 inches

Step-by-step explanation:

[tex]\displaystyle\\49\frac{17}{1000} =\\\\49.017\ inches[/tex]

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.

x+10=5

Answers

Given the expression,

                         x+10=5

Rearrange variables to the left side of the equation,

                        x = 5 - 10

Calculate the sum or difference,

                        x = -5

Therefore,

The value of x is = -5

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Which of the following equations best represents "y is directly related to the square of x"?

y = kx
y = kx2
y = k(1/x)
y = k(1/x2)

Answers

Answer:c.

Step-by-step explanation: its true

Answer:

the answer is y = k/x

Step-by-step explanation:

why? because I said so

Perform the operation 15.2 feet X 2.4 feet. Write the answer with the correct number of significant digits.

Answers

36 is the answer. The lowest amount of significant figure is 2, therefore your answer will only have 2 sig figs

What is this?? 4x - 3 = 12 + 2x

Answers

Answer:

x = 15/2

Step-by-step explanation:

on their first dive, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their second dive, researchers explore a deeper dive. d<-60 or(-60>d) true or false?

Answers

The statement that the inequality is d<-60 or(-60>d) is; true.

How to interpret Inequality word Problems?

Let d represent the depth of the researchers' second dive.

We are given that;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explored a deeper depth, that is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60, then deeper depth would be represented by integers less than -60.

Thus, we can conclude that d can be represented with the inequality;

d < -60

Therefore the statement that d<-60 or(-60>d) is true.

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HELP NOW PLS In 5-7 complete sentences, write a real-world situation that can be modeled by the equation. Make it fun by using your name, if you want!


16x=14x+8

Answers

Answer:

Step-by-step explanation:

Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each book. Kate doesn't want to wait until the last minute to read the books so she is planning to read the same number of pages each day of her summer vacation. If Kate's summer vacation is 72 days long, how can she write a variable expression to represent the number of pages she will need to read each day?

NO LINKS!! Please help me with these graphs​

Answers

Answer:

square: 9 square unitstriangle: 24 square units

Step-by-step explanation:

Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.

Square

The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.

For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.

The area of the square is 9 square units.

Triangle

The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.

The area of the triangle is 24 square units.

__

Additional comment

We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.

at a recent school event the booster club was selling school flags and t-shirts as a fundraiser each school flag was sold for $2 and each t-shirt sold for $5 they sold a total of 220 items and made a total of $695 how many of each type did they sell

Write a system of linear equations to model this situation

Answers

Answer:

The number of school flags sold are 135 and the number of t-shirts sold are 85.

Step-by-step explanation:

It is given that at a recent school event the booster club was selling school flags and t-shirts as a fundraiser each school flag was sold for $2 and each t-shirt sold for $5 they sold a total of 220 items and made a total of $695.

Now, let us analyze these statements one by one;

Each school flag for the fundraiser was sold for dollar = $2

Each t-shirt for the fundraiser was sold for dollar = $5

Further, they sold a total of 220 items including the school flags and t-shirts and made a total of $695.

Now, let us assume that;

The number of school flag for the fundraiser sold are 'x' and

The number of t-shirts for the fundraiser sold are 'y'

So, we can formulate an equation from the given conditions;

=> 2x + 5y = 695

and

=> x + y = 220

Now, on solving both the equations and putting the value of x in another equation we get;

=> x + y = 220

=> x = 220 - y

Furthermore,

=> 2x + 5y = 695

=> 2 (220 - y) + 5y = 695

=> 440 - 2y + 5y = 695

=> 440 + 3y = 695

=> 3y = 695 - 440

=>  3y = 255

=> y = 255/3

=> y = 85

Now, let us put the value of y in one of the equations formed on the given conditions;

=> x = 220 - y

=> x = 220 - 85

=> x = 135

Therefore, the number of school flags sold are 135 and the number of t-shirts sold are 85.

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1/4^x-1+1/2^x-4=2/5

Solve for x

Answers

Answer:

x = 7 and 1/5

Step-by-step explanation:

this is how you solve

Which expression is equivalent to -75.4+ (-63.4)−75.4+(−63.4)

Answers

Expression is equivalent to  - 277.6.

Simplify:

-75.4+ (-63.4)−75.4+(−63.4)

-75.4 - 63.4 −75.4 − 63.4

- 277.6

In mathematics, simply or simplification is reducing the expression/fraction/problem during a  simpler form. It makes the matter easy with calculations and solving.

Here are  the essential  steps to follow to simplify an algebraic expression:

Remove parentheses by multiplying factors.

Use exponent rules to get rid of parentheses in terms with exponents.

Combine like terms by adding coefficients.

Combine the constants.

Here's differently to explain it: The is used to refer to a specific or particular member of a group.  for instance, "I just saw  the foremost  popular movie of the year." There are many movies, but just one particular movie is the most popular.

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How could you use estimation to determine if your answer is reasonable? Explain. (2 points)

Answers

You can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

What is estimation?

Estimation is a rough calculation or judgment using available information based on their face values without going into detail.

Estimation, which is based on approximation, helps to determine if a reasonable solution has been found before the events occur when the actual calculations are carried out.

Estimation ensures that the obtained data or results do not vary greatly from the central values. Estimation helps calculations without adequate data and when computations involve large numbers.

Thus, you can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

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