Dalin is 16 years old hey sister is 3/4 of his age How old is his sister

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

Answer:

67 dollars and 20 cents

Step-by-step explanation:

2.10 per thumb cover

32x2.10=67.2

Answer:

if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50

Step-by-step explanation:

Answer:

x = 10

y = 20

Step-by-step explanation:

They tell you triangle STY is congruent to triangle DTU, which means sides and angles are equal. (they are mirror images in this case)

YT = DT and ST = UT

3y + 5 = 65

3y = 60

y = 20

5x = 50

x = 10

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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Check the picture below.

Answer:

FD = 81.5

Step-by-step explanation:

To find:-

Answer:-

We are given that the triangles DEF and ABC are similar to each other. As we know that in similar triangles, the ratio of corresponding sides are equal. Therefore, here we can say that;

\(\sf:\implies \dfrac{AC}{FD}=\dfrac{BC}{FE}\\\)

From the given triangles the data provided to us is ,

So , on substituting the respective values, we have;

\(\sf:\implies \dfrac{23}{FD}=\dfrac{11}{39} \\\)

\(\sf:\implies FD =\dfrac{23(39)}{11} \\\)

\(\sf:\implies FD = 81.54 \\\)

\(\sf:\implies \red{ FD = 81.5 }\\\)

Hence the value of FD to the nearest tenth is 81.5 .

Answer:

0.3

Step-by-step explanation:

30% out of 100% is 30/100 or 3/10. 3/10 as a decimal is 0.3.

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Answer:

0.3

Step-by-step explanation:

30/100= 0.3

You get the 100 as all percentages add up to 100% if 30% of the cars have GPS then you will need to do 30/100 (the whole) to get your answer :)

Answer: yes

Step-by-step explanation: ration numbers are positive, zero or negative integers

Answer: Yes

Step-by-step explanation: Any number that can be turned into a fraction, which this can, is a rational number.

Answer:

y  = (-4/3)x + 6

Step-by-step explanation:

The Y-intercept of the graph is 6. You can find the slope by following rise over run, or the change in y divided by the change in x. From (0,6) to (3,2), there is a negative 4 change in y and positive 3 change in x.

Answer:

1. Group B

2. Group A

3. The median.

Answer:

1. Group B has the lowest age range out of both groups. Group B has at least 18 students under 16 and Group A has ages from 5 through 30.

2. Group A has more of a variability of ages because it is more scrambled than Group B. Group B had more students that had ages that were all close to each other.

3. I think it's best to use the median because it measures the age above which is found. If we use the mean, it will only be calculated by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Answer:

\(108\ \text{m}^2\)

Step-by-step explanation:

The sides are rectangle is shown in the diagram

The perimeter of the fence will be

\(3x+2y=36\\\Rightarrow x=\dfrac{36-2y}{3}\)

Area of the smaller section of the garden

\(A=xy\\\Rightarrow A=\dfrac{36-2y}{3}y\\\Rightarrow A=\dfrac{36y-2y^2}{3}\)

Differentiating with respect to y we get

\(\dfrac{dA}{dy}=\dfrac{1}{3}(36-4y)\)

Equating with zero we get

\(\dfrac{1}{3}(36-4y)=0\\\Rightarrow 36-4y=0\\\Rightarrow y=\dfrac{36}{4}\\\Rightarrow y=9\)

Double derivative of area

\(\dfrac{d^2A}{dy^2}=-4<0\)

at y = 9 the area is maximum

\(x=\dfrac{36-2y}{3}=\dfrac{36-2\times 9}{3}\\\Rightarrow x=6\)

The sides of the entire garden are \(2y=2\times 9=18\ \text{m}\) and \(6\ \text{m}\)

The maximum area of the natural fertilizer garden is \(18\times 6=108\ \text{m}^2\)

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Answer:

6 is the answer for the question

Answer: The answer is C or the third answer choice because the absolute value of nine is equivalent to the absolute value of nine. The meaning of absolute value is the number of places away from zero on the number line, and both 9 and -9 are equal distance from zero.

Step-by-step explanation:

Answer:

jzb,vnnmn  v nvzJBCSKAJDSKCHJZXCGSIFNBVSAFVWLJFSD IZAUCDWKGASHUFUYHJJDHacvshvchvcaxnkccbhcc uwgdbd

Step-by-step explanation:

Answer:

The second one .

Step-by-step explanation:

They never included that.

Answer:

You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?

Step-by-step explanation:

let x=amt invested at 3% rate of interest.

22000-x=amt invested at 5% rate of interest.  

.03x+.05(22000-x)=980

.03x+1100-.05x=980

.02x=120

x=6000

22000-x=16000

amt invested at 3% rate of interest=$6,000

amt invested at 5% rate of interest=$16,000

The amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000

This can be solved using simultaneous equations. Two equations can be derived from the question :

a + b = 26,000 equation 1

0.02a + 0.03b = 730 equation 2

Where

a = amount invested in the account that yields a 2% interest

b = amount invested in the account that yields a 3% interest

Multiply equation 1 by 0.02

0.02a + 0.02b = 520 equation 3

Subtract equation 3 from equation 2

0.01b = 210

Divide both sides of the equation by 0.01

b = 210 / 0.01 = 21,000

Substitute for b in equation 1

a + 21,000 = 26,000

a = 26,000 - 21,000

a = 5000

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Answer: x = -5

Step-by-step explanation:

-3.4x - 9 = 8

         +9  +9

    -3.4x = 17

-3.4x ÷ -3.4 = x

17 ÷ -3.4 = -5

Answer:

Below

Step-by-step explanation:

Earnings, e, will be divided by 4  friends to equal 12

e/4 = 12      multiply both sides of the equation by 4

4 * e/4 = 12 * 4

    e = 48

Recall that the slope intercept equation of a line is of the form y=mx+b where m is the slope and b is the y intercept. In general, two lines are parallel if they look like this

This translates to the fact the the lines never touch each other. This also means that, in a way, the lines increase (or decrease) at the same rate. This notion of rate of increase/decrease is captured by the fact that if we have lines y=m1x+b1 and y=m2x+b2 they are parallel if they have the same slope. That is

We are given the line y=-3x+4 (with slope -3 and y intercept 4) and we want to find the equation y=mx+b. Since we want that both lines are parallel, based on our previous analysis, we should have

So, so far, our equation looks like this

Now, we want this line to pass through the point (1,7), this means that whenever x=1, we must have y=7. So, we have the following equation

If we add 3 on both sides, we get

So our final result is the equation

Answer:

2

Step-by-step explanation:

because the tree you must have more red balls than blue

Answer:

$10

Step-by-step explanation:

x is her weekly allowance.

She spent half her allowance and has ½x remaining.

She earned $7, and now has $12.

12 = ½x+7

x = 10

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4

The marginal distribution of girls based on the percentages will be 58.3%.

The number for boys is given as:

= 50 + 30 + 45

= 125

The number of females is given as:

= 50 + 80 + 45

= 175

The percentage of females will be:

= 175/(125 + 175) × 100

= 175/300 × 100

= 58.3%

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Answer:

Step-by-step explanation:

Percentages you always multiple.

Take 2% times that by 100 and get 2

Ok, take 29.95 divide that by 2 and get 14.98 for the total cost of the shoes. That is your answer $14.98

The thirteenth term of this arithmetic progression a + b, 2a, 3a − b, ..... is a₁₃ = 13a - 11b.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 2a - (a + b) = 2a - a - b

Common difference, d = a - b

Substituting the given parameters into the formula, the 13th term of this arithmetic sequence is given by;

a₁₃ = (a + b) + (13 - 1)(a - b)

a₁₃ = (a + b) + (12)(a - b)

a₁₃ = a + b + 12a - 12b

a₁₃ = 13a - 11b.

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Answer: A

Step-by-step explanation:

I did it already

Answer:

A

Step-by-step explanation: