Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.

Answer:

The answer is $12.50

Step-by-step explanation:

If you divide 25 and 2 you get 12.5

Its its moneywise half of one dollar is 50 cents.

So the answer is $12.50

Answer:

Lucy did 37 Push-up

Given:

Lucy 12 More than Jeremy

Jeremy 25

Step-by-step explanation:

If Lucy did 12 more than Jeremy that given you that It "Addition"

so 12+ 25 = 37

Therefore, Lucy did 37 Push-up.

Answer:

2x+3x-11x-6=0

Combine like x variables

-6x-6=0

Add 6 to the right side

-6x = 6

Divide by -6

x=-1

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Answer:

x = - 1

Step-by-step explanation:

2x + 3x - 11x - 6 = 0

-6x = 6

x = - 1

Answer:

1400.6

Step-by-step explanation:

7003 divided into 5 groups puts 1400.6 in each group

Answer:

1400.8

Step-by-step explanation:

5/7003

1. 7-5 (5 goes in once)

2. you can't do 2-5 so drop down the 0. (20)

3. 5 goes into 20 4 times. add the 4 to the top

4. put the zero in since it doesn't go with anything (it should look like 1400)

5. drop the 3 down but since 5 can't go in add a zero (and a decimal to your answer on top) - 1400.

6. 5 goes into 30, 8 times.

7. final answer: 1400.8

the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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Answer:

\(P_{B}\) = 80

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b

then ratio of perimeters is also a : b

here ratio of sides = 24 : 15 = 8 : 5

the ratio of perimeters is also 8 : 5

then by proportion

\(\frac{ratioA}{P_{A} }\) = \(\frac{ratioB}{P_{B} }\) , that is

\(\frac{8}{128}\) = \(\frac{5}{P_{B} }\) ( cross- multiply )

8 \(P_{B}\) = 5 × 128 = 640 ( divide both sides by 8 )

\(P_{B}\) = 80

y-intercepts of line y = -5x + 5 is greater then a line which passes through the points (5, 0) and (-5, 5)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here the points are (5, 0) and (-5, 5) and it is to find the equation of line passing through these points :

Now using slope formula to find the slope of line m :

m = (y₂-y₁)/ (x₂-x₁)

m = (5-0)/(-5-5)

m = 5/-10

m = -1/2

Let us first find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-0) = -1/2(x-5)

2y = -x+5

2y = -x + 5

2y = -x +5

y = -x/2 + 5/2

Therefore, the equation of line passing through the points (5, 0) and (-5, 5) is y = -x/2 + 5/2 and its y-intercepts is 5/2

Now, the y-intercepts of line y = -5x + 5 is 5

That is, y-intercepts of line y = -5x + 5 is greater then a line which passes through the points (5, 0) and (-5, 5)

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The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Answer:

y=-6

Step-by-step explanation:

Hi there!

We are given the equation 7y+15=-27 and we want to solve it for y

Our goal is to isolate 1y (also written as just simply y) by itself on one side.

So let's subtract 15 from both sides to remove it from the left side:

7y+15=-27

   -15   -15

_____________

7y     =  -42

Now there are no numbers on the left side, but we aren't done yet. Remember that we want to find 1y, not 7y.

Dividing any number by itself will result in 1 (ex. 3÷3=1). Therefore, we should divide both sides by 7 to find the value of 1y

7y = -42

÷7   ÷7

__________

y = -6

Hope this helps!

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

166 legos are required

Step-by-step explanation:

In this case, let's analyze the data. We need 3 trophies, using at most 324 legos in total. The big trophy requires 220 legos, the smallest requires 135, so we need to know how much will be used in the medium trophy. This number should be 135 < X < 220

Now, if we know that the total legos to be used are 324, then, we can make a difference and sum for all the legos, and then, calculate the number of legos used.

Total legos = A + B + C

324 = 220 + 135 + C

324 = 355 + C

C = -31

This means that there is difference of 31 legos between the smallest and biggest trophy, therefore, this difference should be used and added to the smallest trophy and see how much Tristen use in the final trophy:

135 + 31

= 166 legos

So we need to use 166 legos to build the final trophy.

Answer:

he already used 355 so 166

Step-by-step explanation:

Median:

The median in this set is the 5th term.

Therefore the median in this set is 23.

Answer:

\(\frac{9344}{45}\)

Step-by-step explanation:

\(\frac{74752}{360}\)

Simplify by 8, and we get

\(\frac{9344}{45}\)

We can't simplify any more, so the answer is  \(\frac{9344}{45}\)

The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.

Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case,  use the Euclidean algorithm.

Let's find the GCD using the Euclidean algorithm:

Divide 74752 by 360:

74752 ÷ 360 = 207 R 272

Divide 360 by 272:

360 ÷ 272 = 1 R 88

Divide 272 by 88:

272 ÷ 88 = 3 R 8

Divide 88 by 8:

88 ÷ 8 = 11 R 0

Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.

Step 2: Divide both the numerator and denominator of the fraction by the GCD.

74752 ÷ 8 = 9344

360 ÷ 8 = 45

The simplified whole fraction is 9344/45.

A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.

Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

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a: The data set appears to be linear, as the points appear to fall in a straight line when plotted.

b: The equation of best fit is y = 2x + 1.

c: When x = 5, y = 11.

a If the points in a dataset appear to fall in a straight line when plotted, it suggests a possible linear relationship between the variables being considered. A linear relationship means that there is a constant rate of change between the variables, and a linear regression model could potentially be used to model and predict the relationship between them.

b The equation of best fit is y = 2x + 1. This can be found using the least squares method, which is a statistical technique for finding the line that best fits a set of data points.

Part c: When x = 5, y = 11. This can be found by substituting x = 5 into the equation y = 2x + 1. It is clear that the points fall very close to the line, which indicates that the line is a good fit for the data.

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d is the right ancer

Converting 1.1π rad to degrees gives 198 degrees.

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

Conversion from degree to radian is given by:

π rad = 180°, hence:

1.1π rad = (1.1π ) * 180/π = 198 degrees

Converting 1.1π rad to degrees gives 198 degrees.

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Answer:

Estimate = 1

Exact = 1.13542

Step-by-step explanation:

Answer:

1.14

Step-by-step explanation:

the actual answer is 1.13541666667 but rounding it would be 1.14 :)

Answer: 0.42%.

Step-by-step explanation:

Probability of (M(Eligible Men)) = 0.52

Probability of (W(Eligible Women)) = 1 - 0.52

= 0.48

Probability of (UM(Unemployed Men)) = 0.088

Probability of (UW(Unemployed Women)) = 0.070.

therefore;

Probability that the worker is a man = [P(UM)*P(M)]/[P(UM)*P(M) + P(UW)*P(W)] = 0.576613

0.088 * 0.52 )/ 0.088 * 0.52 + 0.070 * 0.48

= 0.04576 / 0.07936

= 0.5766

probability that the randomly selected worker is both female and unemployed is

= 1 – 0.58%

= 0.42%

Answer:

K = √-6k

i did the math and got this answer and it was right

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

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Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

the first one

1, 2, 3, 4, 6, 9, 12, 18, 36

Answer:

A

Step-by-step explanation:

1 is the smallest factor of every number, so C and D are incorrect.

B is incorrect, because 8 is not a factor of 36

That leaves with A which is the answer

Answer:

10h = 370

hope this helps.

Distance cover in full rotation is 87.92 inches

Given that;

Radius of wheel = 14 inches

Find:

Distance cover in full rotation

Computation:

Distance cover in full rotation = Circumference of wheel

Distance cover in full rotation = 2πr

Distance cover in full rotation = 2(3.14)(14)

Distance cover in full rotation = (6.28)(14)

Distance cover in full rotation = 87.92 inches

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To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

The algebraic expression for the area is:

A = (2H - 8)*H/2

Here we want to write the expression:

"the area of a triangle that has a base 8 inches less than 2 times wider than the height."

Remember that for a triangle of base B and height H, the area is:

A = B*H/2

So if the base is 8 inches less than 2 times the height, we can write:

B = 2*H - 8

Replacing that in the area equation we get:

A = (2H - 8)*H/2

That is the equation for the area.

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Answer:

k

Step-by-step explanation:

can i have branliest answer for no reason and god bless u

Answer:

period

Step-by-step explanation:

Answer: c) ABCDA, $960

Step-by-step explanation:

The nearest Neighbor Algorithm states to choose the next vertex based only on the weights of the neighbor of that vertex.

Starting at A: Options are B = 220, C = 240, D = 310

Choose B because it has the smallest value.

From B: Options are C = 200, D = 210

Choose C because it has the smallest value.

From C: There is only one option --> D = 230 (we cannot choose A because it was our starting point and we haven't touched every vertex, yet).

From D: We touched all of the vertices so return to the starting point, A = 310

A → B → C → D → A --> 220 + 200 + 230 + 310 = 960

Notice that if we looked at the entire circuit first, this is NOT the optimum path. But this is the result using the Nearest Neighbor Algorithm.