Noah loves the Half-Tens facts and often uses them to solve multiplication problems. Make up a 2-digit by 3-digit multiplication problem for which using Half- Ten facts is efficient. Then, solve the problem using that strategy.

Answers

Answer 1

Half Tens is a way of multiplying where we have to find the value of given numbers. First we double any 'one' of the two given numbers and multiply both to get an answer. Then we divide that answer by '2' to get the answer.

Lets take two numbers as 16 and 340

[tex]16\times340=?[/tex]

Double the number 16

[tex]32\times340=10880[/tex]

Now we will divide this by 2

[tex]\frac{10880}{2}= 5440[/tex]

So, if we check [tex]16\times340=?[/tex] , it is 5440.

Similarly if we double the number 340, we get 680

Now, [tex]16\times680=10880[/tex]

And 10880/2 = 5440

Hence, in both ways the answer is 5440.

Answer 2

In Half-Tens method first, double the first number then multiply that number with the second number, and then divide that value by 2 the result obtained is the required result.

Given :

Noah loves the Half-Tens facts and often uses them to solve multiplication problems.

It is given that make up a 2-digit by 3-digit multiplication problem for which using Half Ten facts is efficient.

So, let the two numbers be 56 and 362 then multiply both the numbers by using the Half-Tens method.

First, double the two-digit number:

[tex]=56\times2[/tex]

= 112

Then multiply the above number by 362.

[tex]=112\times 362[/tex]

= 40544

Then divide the above number by 2.

[tex]=\dfrac{40544}{2}[/tex]

= 20272

Now, check : [tex]56\times 362= 20272[/tex]

Now, similarly double the number 362.

[tex]=362\times 2[/tex].

= 724

Then multiply the above number by 56.

[tex]=724\times 56[/tex]

= 40544

Then divide the above number by 2.

[tex]=\dfrac{40544}{2}[/tex]

= 20272

Now, check : [tex]56\times 362= 20272[/tex]

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Related Questions


Add 6 and 8. Then, multiply by 2.

Which of the following expressions matches the statement above?

A.8 + 6 × 2



B.6 + 8 × 2


C.2 × (6 + 8)



D.6 × (2 + 8)

Answers

Answer:

C. 2 x (6 + 8)

Step-by-step explanation:

If you are trying to add before you multiply, you have to put a parantheses. This way, you would add 6 + 8 first, then multiply it by 2.

Answer C best represents the equation stated I the problem because 6+8 are separate terms from 2

help.‼️ its rlly hard

Answers

Answers:

Rent = 750

Savings = 750

Groceries = 625 (you are correct)

Other = 375

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

Explanation:

Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.

Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750

For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.

You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.

Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375

As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.

Answer:

Rent: $750

Savings: $750

Groceries: $625

Other: $375

Step-by-step explanation:

I used the formula:   Part/Whole  =  Percent/100

So for the first two, since they are the same, I did x for the part, 2,500 for the whole, 30 for the percent, and 100. Then I did 30 times 2,500 and I got 75,000. Next I did 75,000 divided by 100 and got 750.

For "Groceries", I did the same thing except used x for the part, 2,500 for the whole, 25 for the percent, and 100.

For "Other", I did the same thing except used x for the part, 2,500 for the whole, 15 for the percent, and 100.


HOPE THIS HELPS!    :)

Brianna has saved $32. 1/4 of the $ she earned from babysitting. How much $ did she earn babysitting?

Answers

If $32 dollars is 1/4 of the money she made babysitting then you would add 32 four times to reach the answer.

Answer - $128 is what she made babysitting.
Final answer:

Based on proportional standards, if $32 represents 1/4 of Brianna's total earnings from babysitting, then she earned a total of $128.

Explanation:

From the amount Brianna saved, we know that $32 represents 1/4 or 25% of the total amount she earned from babysitting. If $32 is a quarter of the total amount, then we can find the total amount by multiplying $32 by 4. This is because 1 divided by 1/4 is equal to 4. So, Brianna earned a total of $32 x 4 = $128 from babysitting. This is the solution to the problem referred to as proportional reasoning. It involves understanding the concept of fractions and simple multiplication.

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The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes.


What would be the cost for 5 of the gift cards?

$80
$90
$100
$110

Answers

Answer:

$100

Step-by-step explanation:

We can see from the graph that the rate of change is $20.  This is because for every increase in x, the value of y increases by $20.

Going from this, the value at x=4 is $80; this will make the value at x=5

80+20 = 100.

Answer:

The answer is C 100

Step-by-step explanation:

657 passengers paid £247 each for a cruise on a small cruise ship. Estimate the amount paid by the passengers in total

Answers

Answer:

The passengers paid approximately 162500

Step-by-step explanation:

We are find how much the passengers paid

657 passengers * 247 per passenger

Round 657 to 650

Round 247 to 250

650 * 250 = 162500

The passengers paid approximately 162500

need some HELP!!!!!

will gave points!(18 points)

what is the best estimate for the answer to 552.17-48.35?

round each number to the nearest tenth.

Answers

Answer:

503.7 is the best estimate when rounding each number to the nearest tenth.

Step-by-step explanation:

Round 552.17 and 48.35 to the nearest tenth. That gives us 552.1 and 48.4 (because 5 makes the number round up). Subtract that, and it gives us 503.7.

factor
[tex]x^{2} -2x[/tex]

Answers

Answer:

x(x -2)

Step-by-step explanation:

The given expression is [tex]x^{2} - 2x[/tex]

Here "x" is the common factor, we can take it out and write the remaining terms in parenthesis.

x(x - 2)

So the factors are x and (x-2)

Thank you.

The amount of data left on a cell phone plan is 6 GB after 8 days. 1.5 GB of data is used each day. How much data is available at the beginning of the cycle?

Answers

Answer:

The answer is 18 GB

Step-by-step explanation:

Okay to the breakdown:

This is a word problem that requires basic knowledge of equality.

So lets say that the total amount of data at the beginning of the cycle is equal to X.

We are told that the data has been used for 8 days at a daily rate of 1.5GB per day, so the total data already used will be "Days × Rate" => 8 × 1.5 = 12GB.

We are also made to know that after the 8 days we still have 6 GB left out of the initial amount X.

Let put all the above in an equation:

X - 12 = 6;

Using the approach of putting liked them together we will add 12 to both sides:

X -12 + 12 = 6 + 12 => X = 18;

So the amount at the beginning of the cycle is 18 GB.

Kylie can afford a $1310-per-month house loan payment. If she is being offered a 25-year house loan with an APR of 8.4%, compounded monthly, which of these expressions represents the most money she can borrow?

Answers

Answer:

The most money she can borrow is $48478.7

Step-by-step explanation:

We are given

Kylie can afford a $1310-per-month house loan payment

so,

PMI=1310

t=25 years

n=12

APR=8.4%=0.084

So,

total money =(PMI)*t*n

[tex]A=1310\times 12\times 25[/tex]

[tex]A=393000[/tex]

now, we can use formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

we can plug values

[tex]393000=P(1+\frac{0.084}{12})^{12\times 25}[/tex]

now, we can solve for P

so, we get

[tex]P=\frac{393000\times \:12^{300}}{12.084^{300}}[/tex]

[tex]P=48478.7[/tex]

So,

The most money she can borrow is $48478.7


Answer:

The is ($1310)((1+0.007)^300-1)/(0.007)(1+0.007)^300

Step-by-step explanation:

I need help on this question.

Answers

Let's go:


[tex]x^2 = [- 6 - (- 10)]^2 + [- 1 - (- 3)]^2 \\\ x^2 = 16^2 + 4^2 \\\ x^2 = 256 + 16 \\\ x^2 = 272 \\\ x = \sqrt{272} \\\ x = 16,5[/tex]


I hope I helped you.


Use the distance formula

d= square root of [(x-x)^2+(y-y)^2]

Step-by-step explanation:

d= sq. root of [(10-(-6))^2+(-1-3)^2]

= sq. root of [16^2 + (-4)^2]

= sq root of (256+16)

= sq root of 272 or 4.7

what is the rule for crossing both the x and y axis

Answers

Answer:

if the x-axis and y-axis is keeping the same numbers of its value , then it should be crossing the x then to the y axis . if the x-axis and y-axis is not kept in the same number , for instance , (-8 , 4 ) (8 , 6 ) then , It should be crossing the y- axis .

Step-by-step explanation:

Determine if the given equations are parallel perpendicular or neither 3x+2y=6 and y=-3/2x+5

Answers

They are parallel to each other.


They are parallel to each other

Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?

Answers

The correct substitution of the values a, b, and c from the given equation into the quadratic formula is a = 1, b = -1, and c = -2, resulting in the formula x = [1 ± √(1 - 4(1)(-2))] / 2.

For the equation –2 = –x + x² – 4, we need to rewrite it in the standard quadratic equation form ax² + bx + c = 0.

First, rearrange the terms to get x² – x – 4 – (–2) = 0, which simplifies to x² – x – 2 = 0. Here, a = 1, b = -1, and c = -2.

Using the quadratic formula, x = [-b ± √(b2 - 4ac)] / 2a, we substitute a, b, and c:

a = 1b = -1c = -2

slove for x (2x+10) (4x-38)
please help me you get all the points and mark brainiest

Answers

Answer:


Step-by-step explanation:

8x^2-76x+40x-380

8x^2-36x-380

A package of shredded cheese contains 2 cups. If each mini-pizza is topped exactly with the same amount of cheese, how many mini-pizzas can be made from one package of shredded cheese?

Answers

1 cup = 16 tablespoons
so going by tablespoons:
16×2=32
so if each mini pizza has one tablespoon of shredded cheese you can have 32 mini pizzas

Boxes of Sticky Fingers popsicles are $4.50. The supermarket is offering a 30% off coupon. What is the price with the coupon? PLEASE HELP!!!!!!!

Answers

Answer:

The price of the popsicles are $3.15 with the coupon

Step-by-step explanation:

To find the price of the item, we need to find the discount

discount = price * percentage off

discount = 4.5 *.3

discount =1.35

New price = original price- discount

new price = 4.5 - 1.35

new price = 4.5 -1.35

new price = 3.15

The price of the popsicles are $3.15 with the coupon


Rose blew h bubbles in two hours. Which algebraic expressions shows how many bubbles she blew in one minute?

Answers

Answer:

I believe it is 2 / h = the amount she blew in 1 minute. Hope this helps



Answer:

h / 120

Step-by-step explanation:

2 hours equals 120 minutes.

So h bubbles in 120 minutes is h/120 per minute.

Verification: suppose she blew 240 bubbles in two hours; this would be 240/120 = 2 per minute. That makes 120 per hour and, as expected, 240 in two hours.

Ms. Salazar's rice mixture consists of five parts of white rice to two parts of wild rice. if she makes 21 cups of the mixture how many cups of white rice will she use?

Answers

Answer: 15 cups of white rice


Step-by-step explanation:

1. 5 cups of white to 2 cups of wild

2. 10 cups of white to 4 cups of wild

3. 15 cups of white to 6 cups of wild

4. 15 + 6 = 21

To determine the amount of white rice in a 21-cup rice mixture with a ratio of five parts white rice to two parts wild rice, we find out that one part is equivalent to 3 cups (since 21 divided by 7 is 3). Multiplying 3 cups by 5 parts of white rice gives us 15 cups of white rice.

Ms. Salazar's rice mixture consists of five parts of white rice to two parts of wild rice. To find out how many cups of white rice she will use for a 21-cup mixture, first, we need to determine the total number of parts in the mixture. Five parts white rice plus two parts wild rice equals seven parts total. Since Ms. Salazar is making 21 cups of the mixture, we will divide 21 cups by the total number of parts, which is 7, to find out the measurement of one part. After this, we multiply the measurement of one part by the number of parts of white rice, which is five.

21 cups / 7 parts = 3 cups per part
3 cups per part * 5 parts white rice = 15 cups of white rice.

So, Ms. Salazar will use 15 cups of white rice in her 21-cup mixture.

find value of x (5x) (3x + 28)

Answers

Final answer:

The question as posed does not provide a complete equation to solve for x. One would need to either expand the expression using distributive property or solve for x if it were part of an equation set to zero. Additional information is required to provide a definitive value for x.

Explanation:

The question appears to ask for the value of x when multiplied by the expression (5x)(3x + 28), however, it is incomplete as there is no equation to solve (i.e., no equals sign followed by a number). If you are meant to expand the expression, you would apply the distributive property to multiply 5x by both terms inside the parentheses, giving 15x^2 + 140x.

If the intention was to solve for x given an equation like (5x)(3x + 28) = 0, then you would set each factor to zero: 5x = 0 and 3x + 28 = 0. Solving these would give you x = 0 and x = -28/3 as the solutions.

Without a complete equation, we cannot definitively solve for the value of x. If additional information is provided or if you have a specific equation involving (5x)(3x + 28), please provide that for further assistance.

If you know the answer could you help me on it

Answers

Answer:

The answer is B because the numbers in the geometric sequence are being multiplied by 2.


Whats the volume of a cube shaped box with edges 6 centimeters in length

Answers

The Answer: V=216cm³


Answer:

The volume of a cube shaped box with edges 6 centimeters in length is 216

Step-by-step explanation:

volume is

Width • Length • Height

The cube's width is 6 centimeters, it's length is 6 centimeters, and it's height is 6 centimeters.

6 • 6 • 6 = 216


Need help with 61-64 plz

Answers


[tex] - 3[/tex]
[tex] - 3[/tex]

REBECA HAD 9/10 OF A YARDOF RIBBON. THEN SHE GAVE 7/20 OF A YARD OF FRIEND. HOW MUCH DOES SHE HAVE LEFT?

Answers

Answer:

She has 11/20 yds left

Step-by-step explanation:

We take what she had and subtract what she gave away

9/10 - 7/20

We need to get a common denominator of 20

9/10 *2/2 - 7/20

18/20 - 7/20

11/20

She has 11/20 yds left

she would have 11/20 left or 55.5 percent

Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?

Answers

Answer:

480 pennies dated after 2000.

Step-by-step explanation:

1. Pennies dated before 1980 (x) - 25%,

All pennies (1,200) - 100%.

Then

[tex]\dfrac{x}{1,200}=\dfrac{25}{100},\\ \\100x=25\cdot 1,200,\\ \\x=25\cdot 12=300.[/tex]

2. Pennies dated from 1980 to 2000 (y) - 35%,

All pennies (1,200) - 100%.

Then

[tex]\dfrac{y}{1,200}=\dfrac{35}{100},\\ \\100y=35\cdot 1,200,\\ \\y=35\cdot 12=420.[/tex]

3. Rest pennies are dated after 2000, then

[tex]1,200-300-420=480.[/tex]

Answer:

480

Step-by-step explanation:

78 = -2(m + 3) + m

a)-42
b)-72
c)-84
d)-28

Answers

Answer:

78= -2m-6+m

78= -m-6

78+6= -m

84= -m

m= -84 Answer( C)

Step-by-step explanation:


Answer:

c

Step-by-step explanation:

distribute the parenthesis and simplify

78 = - 2m - 6 + m

78 = - m - 6 ( add 6 to both sides )

84 = - m ( multiply both sides by - 1 )

- 84 = m ⇒ m = - 84 → c


Solve the system of equations in three variables

Answers

We start from the third equation:

4z = 16     divide both sides by 4

z = 4

Put the value of z to the second equation:

y + 4 = 5      subtract 4 from both sides

y = 1

Put the values of y and z to the first equation:

3x + 2(1) - 4 = 4

3x + 2 - 4 = 4

3x - 2 = 4      add 2 to both sides

3x = 6      divide both sides by 3

x = 2
Answer: x = 2, y = 1, z = 4 → (2, 1, 4)

complete the table to find the missing angle measures

Answers

Answer:

see explanation

Step-by-step explanation:

∠RHC = 145° ( given )

∠JHK = 145° ( vertical to ∠RHC )

∠RHJ = 180° - 145° = 35° ( straight angle )

∠CHK = 35° ( vertical or straight )

∠HKS = 35° ( alternate to ∠CHK )

∠SKU = 145° ( straight angle )

∠OKU = 35° ( vertical or straight )

∠HKO = 145° (vertical to ∠SKU )


ASAP PLZ Sean made 3⁄4 pound of trail mix and put 3⁄8 pound in each bag. How many bags did Sean fill with trail mix? bags

Answers

He filled 2 bags with trail mix.

Simply divide 3/4 into 3/8.

3/4 / 3/8 = 2

2 is the answer.

The answer to your question is 2

Write the equation of a line
in slope intercept form that
has slope of 6 and
y-intercept of ½.

Answers

y=6x+(1/2)

y=mx+b

m is slope
b is y-intercept so you just plug in the values

In the figure below, A shows the position of a house on the shore and B shows the position of a house on an island. To find the distance between the two houses,a surveyor measures from the house on shore to point C. An instrument is used to find

Answers

Final answer:

The surveyor is using a trigonometric method to calculate the distance between the two houses. They form a right triangle with points A, B and C, measure the length AC and the angle at point A or C, and then calculate the distance AB using trigonometric ratios.

Explanation:

In this scenario, the surveyor is using a method resembling triangle-based methods in Mathematics, which specifically relates to trigonometry. To determine the distance between points A (house on shore) and B (house on island), the surveyor measures line AC, forms a right triangle ABC, and uses an instrument (like a theodolite) to measure one of the corners (usually angle at point A or C). With the measured length and angle, the distance AB can be calculated using trigonometric ratios (like sine, cosine, or tangent), depending upon the given scenario. For instance, if the angle at point A and length AC are known, then the distance AB can be calculated as AB = AC / cos(A), where A is the angle at point A.

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