Una estrategia de cálculo mental con
números decimales consiste en buscar
parejas de números cuya suma sea un
número entero. Aplica esta estrategia para
calcular mentalmente:
a. 15,75 + 1,2 + 0,25
b. (–1,8) + 2,45 + (–0,20)
c. 3,5 + 11,8 + 12,5
d. 7,38 – 1,5 + 2,62

Answers

Answer 1

Esta estrategia se puede aplicar sumando  15,75 + 0,25, –1,8 + –0,20, 3,5 + 12,5 y 2,62 + 7,38 antes de sumar el tercer número dado en cada caso.

¿En qué consiste está estrategia?

La estrategia propuesta consiste en sumar dos números decimales que den como resultado un número entero antes de sumar el tercer número decima. Por ejemplo si teneos  1,4 + 0,6  + 1,2, se debe sumar primero 1,4 + 0,6 lo que es igual a 2 antes de sumar el 1,2.

¿Por qué utilizar esta estrategia?

Este estrategia es beneficiosa porque facilita sumar números decimales.

¿Cómo aplicar está estrategia?15,75 + 1,2 + 0,25 = 16 (0,25+15,75) + 1,2 = 17,2 (–1,8) + 2,45 + (–0,20) = -2 (-1,8-0,20) + 2,45 = 0,453,5 + 11,8 + 12,5 = 16 (12,5+3,5) +11,8 = 27.87,38 – 1,5 + 2,62 = 10 (7,38+2,62) + 2,62 = 12,62

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Related Questions

if b=7, what is the value of the expression2(10-b)?

Answers

Answer: 6

Step-by-step explanation: Since we substitute the b with 7, 10-7= 3. Since the 2 is next to the parentheses, we multiply 3 by 2, getting 6.

Hey there!

2(10 - b)

= 2(10 - 7)

= 2(10) + 2(-7)

= 20 - 14

= 6


OR

2(10 - b)

= 2(10 - 7)

= 2(3)

= 6


Therefore, your answer should be: 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Suppose we deal a 5-card hand from a regular 52-carddeck. Which islarger, p(2 access) or p(3 diamonds)?

Answers

The probability of p(2 aces) is greater than the probability of p(3 diamonds).

Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.

A deck of cards always has 52 cards.

Out of those 52 cards, there are 4 different aces.

The deck of cards also contains 13 diamonds.

Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.

Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.

If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).

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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Last one

Because if we simplify

(4x³y-6xy³)/2xy(2xy(2x²-3y²))/2xy2x²-3y²

Verified

Answer:

D is the correct Answer.

Step-by-step explanation:

4x^3+-6xy^3

      2xy

When dividing exponents you will subtract. Leaving you with 2x^3-3y^2.

Therefore your answer is D.

H=(,),()

F=(),()

Help please asap

Thanks so much

Answers

From the representation, the point H and F on the rectangle are H(-3,3) and F(2,-2).

According to the statement

we have given that the a rectangle on the graph with the two given points and we have to find the another points of the graph.

So, to find the points of the rectangle

firstly the given points are:

E(2,3) And G(-2,-2) and we have to find the point H and F.

So, The point H :

For the point H the lines of rectangle meet with each other at the 3 from origin on the x axis to the negative side and at the 3 from origin on the y axis.

So, the point H become H(-3,3)

And for point F:

For the point F the lines of rectangle meet with each other at the 2 from origin on the x axis to the positive side and at the 2 from origin on the y axis on the negative side.

So, the Point F become F(2,-2).

So, From the representation, the point H and F on the rectangle are H(-3,3) and F(2,-2).

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HELPPP There are 30 pencils in a box (15 pairs). 2 pair(s) are yellow,
3 pairs are brown, and the rest are tan. What is the probability of
pulling out a brown pencil on the first draw?
Write your answer as a reduced fraction.

Answers

Answer:

1/10

Step-by-step explanation:

Probability= number of brown pencil/number of pencil in the box

3/30

=1/10

Answer: 1/5

Step-by-step explanation:

30/15 pairs is 2 pencils per pair. That means there are 4 yellow pencils, 6 brown pencils, and the rest are tan.

30-10=20. There are 20 tan pencils.

6/30 is the probability of a brown pencil being pulled out.

This simplifies to 1/5.

There are 8 blue socks in Sean’s drawer. After he removes 3 blue socks and 4 non-blue socks, the probability to pick a blue sock at random becomes 1/7. How many non-bluesocks were in Sean’s drawer originally?

Answers

Answer:

34

Step-by-step explanation:

you first write the equation:

(8-3) / (8+x-7) = 1/7, where x is the number of non blue socks

so, 5/(1+x) = 1/7

1+x = 35, so x=34

Write the point where the linear equation 3x + 4y = 12 cuts the x-axis.​

Answers

Answer:

When the eqn cuts the x-axis , y=0

3x=12

x=12/3

x=4

So,at x=4 is the point at which the linear equation cuts the x-axis

Answer:

collect like terms

12xy=12

xy=1

Brett needs to put this equation x − 2y = 16 into function notation so that he can identify the rate of change and the y-intercept. How should he display it?

Answers

Rewrite x − 2y = 16 in slope-intercept form as y = 1/2x - 8.

Slope (m) = 1/2

Y-intercept (b) = -8.

What is the Slope Intercept Equation?

The slope-intercept equation helps us to easily identify the rate of change/slope (m) and the y-intercept (b) of an equation. It is given as y = mx + b.

Given, x − 2y = 16, in order to identify the slope (m) and y-intercept (b), rewrite the equation in slope-intercept form:

x − 2y = 16

-2y = - x + 16

Divide both sides by -2

-2y/-2 = -x/-2 + 16/-2

y = 1/2x - 8

As a function it would be written as y = 1/2x - 8.

Slope (m) = 1/2

Y-intercept (b) = -8.

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What is the end behavior of the function f of x equals negative 2 times the cube root of x?

Answers

Concluding, the end behavior is:

as x ⇒ ∞, f(x) ⇒ -∞

as x ⇒ -∞, f(x) ⇒ ∞

What is the end behavior of the given function?

Here we have the function:

[tex]f(x) = -2*\sqrt[3]{x}[/tex]

When we evaluate the function in x that tends to positive infinity, the cubic root also tends to infinity, while because of the negative factor that multiplies it, we conclude that the end behavior is:

as x ⇒ ∞, f(x) ⇒ -∞

When x tends to negative infinity, the opposite happens:

as x ⇒ -∞, f(x) ⇒ ∞

Concluding, the end behavior is:

as x ⇒ ∞, f(x) ⇒ -∞

as x ⇒ -∞, f(x) ⇒ ∞

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List the sides in order from the smallest to the largest 83 56 41

Answers

the order from smallest to largest is:

41, 56, 83.

How to list from smallest to largest?

Here we have 3 values, that are:

{83, 56, 41}

To list it from smallest to largest, we first need to write the smallest number, which we can identify is 41.

Then the middle number. Which is 56, that is larger than 41 and smaller than 83.

Finally, the largest number, which is 83.

Then the order is:

41, 56, 83.

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From the figure below, identify all pairs of alternate interior and alternate exterior angles

Answers

A.

alternate exterior

exterior means outside

like a front entrance to a home

1. o & t

2. n & u

B.

alternate interior

interior means inside

like as if its inside a house

1. p & s

2. q & r

( p & s ) AND ( q & r ) both look like the letter Z

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20 points and marked brainlyist help me ASAP

Answers

Answer + Step-by-step explanation:

(a)

Check the attached image.

(b)

Range of sample means : 7.5 - 5.75 = 1.25

(c)

The closer the range of the sample means is to 0 ,

the more confident they can be in their estimate . [tex]\huge \checkmark[/tex]

The farther the range of the sample means is from 0 ,

the more confident they can be in their estimate . 

The mean of the sample means will tend to be a better estimate

than a single sample mean . [tex]\huge \checkmark[/tex]

A single sample mean will tend to be a better estimate

than the mean of the sample means .

A rectangular prism with a square base is cut from the center of a triangular prism. each side of the square base measures 1.7 units.what is the volume of the shaded solid? round to the nearest tenth of a cubic unit.11.6 units345.4 units357.0 units368.6 units3

Answers

Rounding to the closest tenth of a cubic unit, the shaded solid's volume is 45.4 cubic units.

What is rectangular prism?

The 3D shape of a rectangular prism has six rectangular faces. Multiply a rectangular prism's three dimensions—length, width, and height—to determine its volume. Cubic units are used to measure volume.

According to the given information:

The following formula can be used to determine a rectangular prism's volume:

Vr = Height * Width * Length

Triangular prism volume Vt is determined by its base area and height.

concerning the rectangular prism;

Vr = 1.7 × 1.7 × 4

Vr = 11.56 units in 3

Regarding the triangular prism

Vt = 0.5 × 5.7 × 5 × 4

Vt = 57 unit3

Volume of the solid shaded by Vt - Vr

The solid's shaded volume is equal to 57 - 11.56.

The colored solid's volume is 45.44 cubic units.

Due to this, the shaded solid's volume, when rounded to the nearest tenth of a cubic unit, is 45.4 cubic units.

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I need to know how to solve this

Answers

Answer:

To find angle y you subtract the two angles form 180 degrees because it is a straight line. Then you subtract angle y and 72 from 180 because a triangle adds up to 180 degrees and you get angle x.

Hope this helps, ask if you have any more questions!

Find the general equation of the plane through the point (3, 2, 5) that is parallel to the plane whose general equation is 2x 3y − z = 0.

Answers

The plane we want and the plane we're given are parallel, so they share the same normal vector. The normal to [tex]2x+3y-z=0[/tex] is the vector (2, 3, -1), since [tex](2,3,-1)\cdot(x,y,z)=0[/tex].

Then the plane we want has equation

[tex](2,3,-1) \cdot (x-3, y-2, z-5) = 0 \\\\ \implies 2(x-3) + 3(y-2) - (z-5) = 0 \\\\ \implies \boxed{2x + 3y - z = 7}[/tex]

Find the value of each variable.

Answers

one of the properties of a cyclic quad (four sided shape in eucliean geometry) is that the opposite sides add up to 180°

So in this case to get x we= 180°-105°=285°

therefore x is 285°

A. Undefined b. Zero c.negative b. Positive

Answers

I believe the slope is negative. If it was positive then it would have been " / "

Answer:

C

Step-by-step explanation:

• A vertical line has an undefined slope

• A horizontal line has a slope of zero

• A line sloping downwards from left to right has a negative slope

• A line sloping upwards from left to right has a positive slope

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

the line here slopes downwards from left to right and has a negative slope

Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi
4
6

Answers

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is [tex]\pi r^2 h[/tex]. We can use the given values for radius and height to find the volume of the cylinder.

Finding the Volume

[tex]V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16[/tex]

The volume of the cylinder is 144π or 452.16 units³.

What is the X
3x +15 and 2x + 20

Answers

Answer:

x = 5

Step-by-step explanation:

What is the X

3x +15 and 2x + 20

assuming that the question is an equation

3x + 15 = 2x + 20

3x - 2x = 20 - 15

x = 5

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

check

3 * 5 + 15 = 2 * 5 + 20

30 = 30

the answer is good

divide.
6 divided by 2 2/7

Answers

Answer:

2.625

Step-by-step explanation:

2 2/7 in decimal form is 2.2857

6 / 2.2857 = 2.625

Answer: 2.625 or 2 and 5/8

2(x+2y)^2 + 3(x+2y) +1​

Answers

Answer:

[tex]3x+2y^2+2(x+y)+2y+1[/tex]

Step-by-step explanation:

1) Split the second term in [tex]2{(x+2y)}^{2}+3(x+2y)+1[/tex] into two terms.

1 - Multiply the coefficient of the first term by the constant term.

[tex]2\times1=2[/tex]

2 - Ask: Which two numbers add up to 3 and multiply to 2?

2 and 1.

3 - Split  [tex]3x+2y[/tex] as the sum of [tex]2(x+y)[/tex]  and [tex]x+2y[/tex].

[tex]2x+2y^2+2(x+y)+x+2y+1[/tex]

2) Collect like terms.

[tex](2x+x)+2y^2+2(x+y)+2y+1[/tex]

3) Simplify.

[tex]3x+2y^2+2(x+y)+2y+1[/tex]

Thank you,

Eddie

Find the indicated maximum or minimum value of f subject to the given constraint. maximum: f(x,y,z)=x2y2z2; x2 y2 z2=4

Answers

The indicated maximum or minimum value of f is subject to the given constraint maximum is 125/27.

An instance of a constraint is the fact that there are only such a lot of hours in a day to perform things. Embarrassed reserve or reticence; awkwardness. One that restricts, limits, or regulates; a take a look at.

A constraint is something that limits or controls what you can do. Their decision to abandon the trip was made due to monetary constraints. Water shortages in the location can be the primary constraint on development.  Synonyms: restriction, issue, lessen, rein greater Synonyms of constraint.

Constraints are used to limit the kind of records which can move right into a desk. This guarantees the accuracy and reliability of the facts inside the table. If there's any violation between the constraint and the facts motion, the motion is aborted. Constraints can be column stage or desk level.

From &22 = x²y 2

2

Given 2²+7+2=5

= <**,4),2=>

By Logange's multijet

(2643805 = 12'aresta

Mithaling by by and

and y

x²²* = P ←

: +(1,2,2) = $

= 125

279

The maximum value is 12r

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A salesperson has 7 customers in denver and 13 customers in reno. in how many different ways could she telephone?

Answers

If a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.

Given that the salesperson has 7 customers in denver and 13 customers in reno.

We are required to find the number of ways in which he can make use of telephone.

Number of customers in denver=7

Number of customers in reno=13

Total customers=20

Since he can talk to one customer at one time and he can either choose customer from denver or reno, the number of ways by using combinations will be [tex]7C_{1}[/tex]+[tex]13C_{1}[/tex]

=7+13

=20 ways.

Hence if a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.

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How long does it take for millions of dollars worth of emerald transactions to occur in bogota? a year three months a day a week

Answers

Answer: It will be A Day

Step-by-step explanation:

Find the measure of the third angle of a triangle if the measures of the other two angles are given. 35.5 and 82.6

Answers

Answer:

61.9°

Step-by-step explanation:

The angles of a triangle always add up to 180°. Using this information along with the values of two of the three angles, we can set up an equation to find the measure of the third angle.

Set up an Equation

Let the measure of the third angle be represented as "x". The first angle + the second angle + the third angle must equal 180 therefore...

[tex]35.5+82.6+x=180[/tex]

Solve the Equation

Start by adding the like terms on the left side of the equation:

[tex]118.1+x=180[/tex]

Then, subtract both sides by 118.1:

[tex]x=61.9[/tex]

Therefore the measure of the third angle of the triangle is 61.9°.

A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

The system of equations that can be used to find x, the cost of each jersey, and y, the cost of each pair of shorts is shown.

12x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

The cost of each jersey is $8 dollar and that of shorts is $5

System of equation

This are expression that contain unknown equation and two or more equation.

According to the question, a soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

The system of equation that represent the expression is given as;

12x + 12y = 156

4x + 6y = 62

____________
6x + 6y = 78

4x + 6y = 62


Subtract

6x-4x = 78 - 62

2x = 16

x = 8

since 4x + 6y = 62

2x+3y = 31

2(8) + 3y = 31

3y = 31-16

3y = 15

y = 5

Therefore the cost of each jersey is $8 dollar and that of shorts is $5

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Solve following equation:
[tex]4x+10=-2+4[/tex]

Answers

Step-by-step explanation:

4x + 10 = -2 + 4

4x = -2 + 4 - 10

4x = -8

x = -2

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{4x + 10 = -2+ 4}[/tex]


[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{4x + 10 = 2}[/tex]


[tex]\huge\textbf{Subtract 10 to both sides:}[/tex]

[tex]\mathsf{4x + 10 - 10 = 2 - 10}[/tex]


[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{4x = 2 - 10}[/tex]

[tex]\mathsf{4x = -8}[/tex]

[tex]\huge\textbf{Divide 4 to both sides:}[/tex]

[tex]\mathsf{\dfrac{4x}{4} = \dfrac{-8}{4}}[/tex]


[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathsf{x = \dfrac{-8}{4}}[/tex]

[tex]\mathsf{x = -2}[/tex]


[tex]\huge\textbf{Therefore, your answer should be:}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

The surface areas of two similar cylinders are 6cm² and 54cm².
i. Find the scale factor for the enlargement.
ii. If the larger cylinder has height 12cm, how high is the smaller one?
iii. What is the ratio of their volumes?

Answers

Answer:

3, 4, 27

Step-by-step explanation:

1) Area scale factor = 9

Length scale factor = 3 because √9

2) 12/3 = 4

3) 3³ = 27

5x(3x-10) + (2x-6)(3x+8)

Answers

Answer: 21[tex]x^{2}[/tex] - 52x - 48

Step-by-step explanation:

Using the expanding rule we get

5x * 3x - 5x * 10 + (6[tex]x^{2}[/tex] - 18x + 16x -48)

15[tex]x^{2}[/tex] - 50x + 6[tex]x^{2}[/tex] - 2x - 48

21[tex]x^{2}[/tex] - 52x - 48

Answer:

21x^2-52x-48

Step-by-step explanation:

5x(3x-10) + (2x-6)(3x+8)

Distribute

5x^2 -50x+6x^2-2x-48

Combine like terms

21x^2-50x-2x-48

21x^2-52x-48

Please answer the one this exercises if you can send photos sent it pls and you have to use quadratic function for these Thanks​

Answers

The expression of the equation will be:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

How to compute the equation?

It should be noted that an equation simply means the expression of the variables that are given.

In this case, the following can be represented:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

This is illustrated above.

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