Solve and Simplify -3-7/8​

Answer:

answer would be 1:2

Step-by-step explanation:

you have to find the greatest common divisor of 5 and 10 and you divide 5 and 10 by the greatest common divisor.

The greatest common divisor that you can apply for 5:10 is 5 which means the answer to the ratio of 5:10 is:

1:2

We are given the total assets amounting to $410,000 and the total liabilities amounting to $250,000.

The accounting equation states that the total assets is equal to the total liabilities plus the owners' equity.

So to fin the shareholder equity, we just subtract $410,000 - $250,000 and we get $160,000 as the answer.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

Step-by-step explanation:

 16k +8 -(6k+3)

= 16k +8 -1(6k+3)              

= 16k + 8 -6k -3                  

= 10k +5

I hope this is self-explanatory. If any question, please let me know.

Thanks, hope this will help you:)

Answer:

k=-1/2

Step-by-step explanation:

16k+8-(6k+3)

16k+8-(6k+3)=0

16k+8-6k-3=0

16k-6k+8-3=0 ( rearrange)

10k+5=0

10k= -5

k= -5/10( simplify)

k -1/2

check the answer again

omg sryyy that's not the answer I thought we had to find the value of k ....I cant delete it really sry

Answer:

\(F = 45.4\)

\(S = 12.68\)

Step-by-step explanation:

Given

Represent the sons age with S and the father's age with F

\(S * F = 576\)

\(F = 5S - 18\)

Required

Determine F and S

Substitute 5S - 18 for F in the first equation

\(S * (5S - 18) = 576\)

Open Bracket

\(5S\² - 18S = 576\)

Equate to 0

\(5S\² - 18S - 576 = 0\)

Solve using quadratic formula:

\(S = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}\)

Where

\(a = 5\)

\(b = -18\)

\(c = -576\)

\(S = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}\)

\(S = \frac{-(-18)\±\sqrt{(-18)^2 - 4*5*-576}}{2 * 5}\)

\(S = \frac{18\±\sqrt{324 + 11520}}{10}\)

\(S = \frac{18\±\sqrt{11844}}{10}\)

\(S = \frac{18\±\108.8}{10}\)

\(S = \frac{18+108.8}{10}\) or \(S = \frac{18-108.8}{10}\)

\(S = \frac{126.8}{10}\)  or \(S = \frac{-90.8}{10}\)

\(S = 12.68\) or \(S = -9.08\)

Since, age can't be negative.

We have that:

\(S = 12.68\)

Recall that:

\(F = 5S - 18\)

\(F = 5 * 12.68 - 18\)

\(F = 45.4\)

Hence:

The father is 45 years old and the son is 13 years old (Approximated)

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Answer:

the answer is 4 and 3

Step-by-step explanation:

taking the point on x and y axis so u get 4 and 3

The lower limit that she traveled in three seconds is 33.45 feet and the upper limit that she traveled in three seconds is 43.45 feet

The first three seconds of a race saw a runner's pace rapidly grow.

The time is therefore 3 seconds.

The table provides her speed at half-second intervals.

We are aware,

Distance x Time Speed

Similarly

The distance equals speed x time.

t equals 0.5 seconds

Then, the minimum distance traveled overall is equal to 0.5(0 + 6.7 + 9.2 + 14.1 + 17.5 + 19.4).

Terms are multiplied and added.

= 0.5 × 66.9

= 33.45 feet

The maximum distance travelled is equal to 0.5 (6.7 + 9.2 + 14.1 + 17.5 + 19.4 + 20)

= 0.5 × 86.9

= 43.45 feet

Hence, the lower limit that she traveled in three seconds is 33.45 feet and the upper limit that she traveled in three seconds is 43.45 feet

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The most likely number of people who visited the library zero times last summer based on Amy's survey is 632 people

To find the number of people who were most likely not to visit the library, you need to find the percentage of people who did not visit the library from Amy's survey.

Percentage of males:                                           Percentage of females:

= 14 / 25                                                                 = 17 / 25

= 56%                                                                     = 68%

From the population of 1,000, the males and females who went to the library zero times would be:

Number of males:                                           Percentage of females:

= 56 % x 400                                                  = 68 % x 600

= 224 males                                                    = 408 females

Total number of people :

= 224 + 408

= 632 people

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Answer:

Step-by-step explanation:

one angle is 50

Since the triangle BUC is an isosceles one, the angles BCU and BUC should be equal, furthermore, since one of the angles of this triangle is a right angle the angles mentioned before should be 45°.

Therefore the angle DCU is 90°+45°=135°.

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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Answer:4

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

\(\frac{n}{20}*20 = 1 * 20\)

1 x 20 = 20

Answer:

C) n = 20

Step-by-step explanation:

hope it helps!

SOLUTION

Write out the expression

Step1; Multiply the first and the last term

Step2: Obtain the factors of that completely replace the product and the second term above

Step3: Replace the second term with the factors you obtained above

Step4: Break the expression into groups

Step5: Factor the expression in paranthesis

Hence

The complete factor of the trinomial is (7p+2)(p+2)

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

Answer:

H0 : flavor and serving size are independent

H1: Flavor and serving size are not independent

Step-by-step explanation:

The claim or hypothesis is to test if there is a relationship between the different types of flavor (vanilla, strawberry and chocolate) and the size (large, medium and. Small) being ordered. This is the the Alternative hypothesis, in other words to establish that flavor type and size are not independent, (that is the two variables are correlated).

The Null hypothesis will be the opposite of the alternative, establish that both variables are independent.

Hence ;

Null hypothesis ; H0 : flavor and serving size are independent

Alternative ; H1: Flavor and serving size are not independent

9514 1404 393

Answer:

  y = 2x

Step-by-step explanation:

The given equation tells you that x and y are proportional. To find the unknown constant of proportionality, you only need to look at the y-value for x=1.

  2 = [?]·1 . . . . substitute (x, y) = (1, 2) from the table into the equation

  2 = [?]

  y = 2x

The following tables include:

(1) The table appears to show two portfolios, Portfolio 1 and Portfolio 2, and the expected rate of return (ROR) for various investments within those portfolios. The investments listed are stock in a large, old company, stock in an emerging company, US Treasury bond, and certificate of deposit.

(2) The car insurance policy has a $1,000 deductible, meaning that the insurance will cover damages that exceed $1,000. In this case, the damages were $3,000, so the insurance will cover $2,000 ($3,000 - $1,000). Since the monthly premium is $120, the total cost of the insurance over the year would be $1,440.

(3) The table shows the 52-week high and low prices, as well as the current close price, for two stocks: Apple Inc (AAPL) and Amazon Inc (AMZN).

(4) The pie chart shows the distribution of some data into three categories where 60% represents one category, 30% represents another category, and 10% represents the remaining category.

(5) The formula shows how to calculate the annual gross wage required to save 80% of it annually for retirement. This amount divided by 0.04 gives the total amount needed for retirement.

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Answer:

it is too blury to read

Step-by-step explanation:

Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

Answer:

cbe

Step-by-step explanation:

The angle whose measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE, the correct option is B.

An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.

The angle whose measure is less than 90 degree is called the acute angle, whose measure is equal to 90 degree is called right angle, the angle whose measure is greater than 90 degree is called obtuse angle.

The ∠BAC and ∠BCA are the interior angles of the triangle,

According to the theorem of exterior angle, The measure of the exterior angle is equal to the sum of the two opposite interior angles.

The sum of the angles, ∠BAC and ∠BCA is equal to the opposite exterior angle, i.e. ∠CBE

∠CBE =  ∠BAC + ∠BCA

Your question seems incomplete, the complete question is attached with the answer.

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∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

Recall that in angles in parallel lines:

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

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A 16 ounce bottle of spring water is $2.08. A 20 ounce bottle of fresh water is $2.40 Therefore, this statement "A 20 ounce bottle of fresh water is $2.40" is true.

To determine which statement is true, let's compare the prices of the two water bottles:

16 ounce bottle of spring water: $2.08

20 ounce bottle of fresh water: $2.40

To find the price per ounce for each water bottle, we can divide the total price by the number of ounces:

Price per ounce of spring water: $2.08 / 16 ounces = $0.13 per ounce

Price per ounce of fresh water: $2.40 / 20 ounces = $0.12 per ounce

Comparing the prices per ounce, we can see that the price per ounce of fresh water ($0.12) is less than the price per ounce of spring water ($0.13).

Therefore, the statement "A 20 ounce bottle of fresh water is $2.40" is true.

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Answer:

30

Step-by-step explanation:

16+ 24 * 5 / 10 = 30

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

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