HELP

A gym offers regular memberships for $80 per month and off-peak memberships for $60 per month. Last month, the gym sold a total of 420 memberships for a total of $31,100. The following system of equations models this scenario:

80x + 60y = 31,100
x + y = 420

How many of the memberships sold were regular memberships?

The cost  of hiring a van for 5 days is $235.

In this question, we have been given an equation c = 10 + 45d that represents the cost in pounds of hiring a van for days.

here c = cost in pounds

d = number of days

We need to find the cost  of hiring a van for 5 days.

Substitute the value d = 5 in given equation.

c = 10 + 45d

c = 10 + (45 × 5)

c = 10 + 225

c = 235 dollars

Therefore, the cost for 5 days is 235 dollars

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Answer:

Hello,

3

Step-by-step explanation:

Let say x the whole number not null to find.

\(x+\dfrac{1}{x} =\dfrac{10}{3} \\\\\\\dfrac{x^2+1}{x} =\dfrac{10}{3} (reducing\ to\ the\ same\ denominator)\\\\3x^2+3=10x\ (cross\ products)\\\\\\3x^2-10x+3=0\ (passing\ all\ terms\ in\ the\ first\ member)\\\\\Delta=10^2-4*3*3=64=8^2\\\\x=\dfrac{10-8}{6} =\dfrac{2}{6}= \dfrac{1}{3} \ not \ a \ whole\ number\\\\x=\dfrac{10+8}{6} =3\\\\\)

Random assignment and random selection are both important concepts in research methodology, but they refer to different processes.

Random selection refers to the process of selecting individuals or elements from a population to be included in a study. The goal of random selection is to ensure that the sample is representative of the larger population. This helps to increase the generalizability of the findings to the population as a whole. For example, if a researcher wants to study the academic performance of high school students in a particular city, they might use random selection to select a sample of students from different schools in that city. This helps to ensure that the sample represents the diversity of students in the population.

On the other hand, random assignment refers to the process of assigning participants to different groups or conditions in a study. The goal of random assignment is to minimize any pre-existing differences between the groups, making it more likely that any differences observed between the groups can be attributed to the independent variable being studied. For example, if a researcher wants to investigate the effectiveness of a new teaching method, they might randomly assign half of the participants to receive the new method and the other half to receive the traditional method. Random assignment helps to ensure that the groups are comparable at the start of the study, reducing the likelihood of confounding variables.

In summary, random selection is about selecting a representative sample from a population, while random assignment is about assigning participants to groups or conditions in a study. Both processes are important in research methodology to ensure accurate and reliable findings.

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Check the picture below.

so the horizontal lines are 4 and 12, and then we have a couple of slanted ones, say with a length of "c" each

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{3} \end{cases} \\\\\\ c=\sqrt{ 4^2 + 3^2}\implies c=\sqrt{ 16 + 9 } \implies c=\sqrt{ 25 }\implies c=5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{4+12+5+5}\implies \text{\LARGE 26}\)

Answer:

C

-1/5, -1/3,-7

Step-by-step explanation:

Answer: Answer is below <3

Step-by-step explanation:

1. —1x²(3x²—7x—5)
2. 14x ² (y²—2x+4x²)

3. 8100m²y4

4. (a5— 7b6) (a5 — 7b6)

5. (m+1) (m+11)

6. (a+1) (a+6)

7. —3x+6

8. (—6a+1) (—6a+1) / 4

9. (x+5)²

10. X² — 7xy—88x

Hope this helps!

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Answer:

18

Step-by-step explanation:

Answer:

18 pounds

Step-by-step explanation:

5x 3 3/5= 18

Answer:

The answer is 79 + 77 =156

156÷77

=2.03 rounded to 2 decimal points

Answer:

\(\boxed{\frac{156}{77}}\)

Step-by-step explanation:

This is the decimal form of the the answer above.

\(\boxed{2.025974}\)

Hope this helped you!

Given a figure of a circle:

As shown, the radius of the circle = r = 9 miles

The shown sector bounded by a 60-degree arc

We need to find the area of the shown sector

as we know the area of the circle =

The area of the sector represents 60/360 of the area of the circle

So, the area of the sector =

so, the answer will be the area of the shown sector = 42.4115 square miles

We will write the area in terms of pi and fractions as follow:

So, the answer will be:

Answer:

2 miles per hour

Step-by-step explanation:

6/3=2

6 miles/3 hours=2 miles per hour

Hope this helps!

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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Answer:

9

Step-by-step explanation:

Assume that the measure of the angle is x

That would mean that the compliment of that angle would be 9x

Two angles are complementary when their sum equals 90

That means x + 9x equals 90.

We can combine x and 9x into 10x, leaving us with 10x=90

Divide both sides by 10

x=9

Answer:

Lin walks 500 feet and Elena walks 500 yards

Step-by-step explanation:

First of all, 1 yard is greater than 1 feet, there relation is given by:

1 yard = 1 feet

From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.

Answer: lin walks 500 feet and elena walks 500 yards

Step-by-step explanation:

1 foot is smaller then one yard

Answer:

its 53

Step-by-step explanation:

Answer:

y + 5 = -3(x - 0)

Step-by-step explanation:

First, you find the slope. To do that, you subtract the second y point (in this case 4) by the first y point (in this case -5), and you get 9. Then, you subtract the second x point (in this case -3) by the first x point (in this case 0), and you get -3. Y is over X, so you get 9/-3 or 9 over -3, which can simplify to -3.

Next, you use the point slope formula: y - y1 = m(x - x1). Add in the y1, m, and x1, then solve if it asks you to put it in slope intercept form. So, for this case, it would be y + 5 = -3(x - 0)

Yay!!!! :D

When the polynomial 2x³-3x²+4x+7 is divided by x+3, the remainder is -86.

The given polynomial is 2x³ - 3x² + 4x + 7.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(2x^2) = 2x^3

Thus, we multiply the divisor (x+3) by 2x^2 which gives 2x^3 + 6x^2

Now we subtract this from the polynomial which gives -9x^2 + 4x + 7.

In the same way we multiply the divisor by -9x which gives -9x^2 - 27x. Subtracting the same from -9x^2 + 4x + 7we get 31x + 7.

Now we multiply the divisor with 31 which gives 31x + 93. Subtracting it from the remaining polynomial 31x + 7 leaves the remainder -86.

The question is incomplete, the complete question is:

When the polynomial 2x³ - 3x² + 4x + 7 is divided by x + 3 The remainder is?

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Given:

The function is:

\(y=2x^2+3x\)

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

\(y=2x^2+3x\)

Substituting \(x=-2\), we get

\(y=2(-2)^2+3(-2)\)

\(y=2(4)+(-6)\)

\(y=8-6\)

\(y=2\)

Substituting \(x=-1\), we get

\(y=2(-1)^2+3(-1)\)

\(y=2(1)+(-3)\)

\(y=2-3\)

\(y=-1\)

Substituting \(x=0\), we get

\(y=2(0)^2+3(0)\)

\(y=0+0\)

\(y=0\)

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

200 cm³ is the volume of the pyramid

Answer:

200 cubic centimeters

Step-by-step explanation:

l = length = 10 cm

w = width = 10 cm

h = height = 6cm

V = lwh / 3

= 10 * 10 * 6 / 3

= 100 * 6 / 3

= 600 /3

= 200 cubic cm

Hope this helps! Tell me if I am incorrect!

The arithmetic sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43,....

Common difference = 4

First term = 3

The formula for the sum of the first n terms of an arithmetic sequence is:

Sₙ = ⁿ/₂[2a + (n − 1)d]

where:

n = the number of terms to be added.

a = the first term in the sequence.

d = common difference

We are told that sum of the first 9 term is 171. Thus:

(9/2) [2a + (9 − 1)d]  = 171

(2a + 8d) = 38   ----(1)

Sum of the next 5 term is 235.

Thus, sum of the first 14 terms = 235 + 171 = 406

(14/2) [2a + (14 − 1)d]  = 406

7(2a + 13d) = 406

2a + 13d = 58    -----(2)

Subtract eq 1 from eq 2 to get:

5d = 20

d = 4

2a + 13(4) = 58

2a = 58 - 52

a = 3

Sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43,....

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Answer:

A circle is the set of all points in a plane equidistant from a given point.

Step-by-step explanation:

A circle is a shape composed of a single line or set of points that have the same distance from the center of the circle or that are equidistant from the center.

Answer: a circle have no sides or no cornors

Step-by-step explanation:

Answer:

5.82.384.8+9×8=8×99+8×6×8+9×

Answer: They are equivalent

Step-by-step explanation:

2.2x+3.8x=6x

5.5-4.1=1.4

Answer:

125

Step-by-step explanation:

5x + 20 + 3x - 8 = 180

8x + 12 = 180

8x = 168

x = 21

5(21) + 20

= 105 + 20

= 125

Answer:

3pi/2

Step-by-step explanation:

(4) 3pi/8 =3pi/2

Answer:

49+0.89c

Step-by-step explanation:

We can use the sine rule to find the hole angle, and then find the golfer angle:

Now we can find the golfer angle:

Answer: 25.6 degrees.

The resulting equivalent expression is -2k + 6

Equivalent expression.

Equivalent expression means an expressions that work the same even though they look different. If we said the two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Given,

Here we have the expression -2k - (-5) + 1

Now, we have to combine the like terms and then we have to solve it in order to find the equivalent expression.

First, we have to write the given expression,

=> -2k - (-5) + 1

Here we know that (-) x (-) = (+), therefore, the given expression is rewritten as follows:

=> -2k + 5 + 1

Here the only like term is the constant 5 and 1, so, we have to combine these constant, the  we get the expression like the following;

=> -2k + (5 + 1)

No, we have to add the constant in order to get the equivalent expression,

=> - 2k + 6

Therefore, the equivalent expression i s -2k + 6.

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