solve 5y - 2 = 3y + 14​

Answer:

18/5000 or 9/2500

Step-by-step explanation:

Since we know both male and female nursing home residents, we can just add the two together to find the total.

Answer:

um im not 100% but i think 47

Step-by-step explanation:

The value of x for the given triangle is found to be 6.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

Given triangle has N as the incentre.

Which implies that NJ = NL= NK.

Now, apply Pythagoras theorem in ΔANK to obtain,

AN² = AK²+ NK²

=> 37² = 35² + NK²

=> NK²= 37²- 35²

=> NK²= 144        

=> NK = 12

Then, As per the question it can be written as,

2x = 12

=> x = 6

Hence, the value of x for the point N to be the incentre is 6.

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Answer:

a)

Class width = 19.375

b)

Class Boundaries are;

19.5 - 39.5, 39.5 - 59.5, 59.5 - 79.5, 79.5 - 99.5, 99.5 - 119.5, 119.5 - 139.5, 139.5 - 159.5, 159.5 - 179.5.

Step-by-step explanation:

Given the data in the question;

Class width = Range / Number of classes

Range = maximum - minimum = 175 - 20 = 155

Number of classes = 8

so,

Class width = 155 / 8 = 19.375

∴ the class limits will be

20   - 39

40   - 59

60   - 79

80   - 99

100  - 119

120  - 139

140  - 159

160  - 179

Low class boundary = Lower class limit - 0.5

Upper class boundary = upper class limit + 0.5

so

Class Boundaries are;

19.5 - 39.5, 39.5 - 59.5, 59.5 - 79.5, 79.5 - 99.5, 99.5 - 119.5, 119.5 - 139.5, 139.5 - 159.5, 159.5 - 179.5.

Answer:  see below

Step-by-step explanation:

Notes: Given  [tex]y=a\sqrt[3]{x-h}+k[/tex]

11) h = -1, k = -2

     shifts left 1 unit and down 2 units from the parent function

12) h = 1, k = 5

     shifts right 1 unit and up 5 units from the parent function

13)  k = 1, a = -1

     shifts down 1 unit from the parent function and reflects over the x-axis

14) h = -1, k = 5

     shifts left 1 unit and up 5 units from the parent function

9514 1404 393

Answer:

  cot(θ) = 24/7

Step-by-step explanation:

A suitable calculator can answer this nicely.

__

Perhaps you're expected to remember relevant trig identities.

  tan(θ)^2 = sec(θ)^2 -1

  cot(θ) = 1/tan(θ)

__

  cot(θ) = 1/√(sec(θ)^2 -1)

  cot(θ) = 1/√((25/24)^2 -1) = 24/√(25^2 -24^2) = 24/√49

  cot(θ) = 24/7

Answer:

40%

Step-by-step explanation:

2:5 is equal to 4:10 or 40%.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

--> Its not 29% its 40%

hope it helps you,

mark me as the brainliest....

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Answer:

800 students failed

Step-by-step explanation:

Since 60% passed the class, 40% failed

This means that 40% of the 2,000 students are failures

[tex]\frac{40}{100} (2,000)= 800[/tex]

Answer:

The population is:

D. All shoppers at the discount store during a year's time.

Step-by-step explanation:

Since the discount store wants to determine the average yearly income of its shoppers, the population of interest here is all the shoppers that visit the discount store during a year's time.  The population includes all the individual shoppers.  However, this number may be too difficult to obtain and work on their data.  This is the researcher can choose a sample, calculating its statistics to approximate the population parameters.

Step-by-step explanation:

step 1. f(4) = 3(4) + K = 7 (plug in values)

step 2. K = -5 (subtract 12 from each side)

step 3. therefore f(x) = 3x - 5

step 4. f(2) = 3(2) - 5 = 1 (plug in x= 2)

Answer:

The distance between the pole and point A is 35.2m

Step-by-step explanation:

First, we have to illustrate the problem. I can't draw as of the moment but I'll try my best to describe the drawing as best as I can. You can draw this in a scratch paper to have a better understanding.

Now that you have drawn this. There should be two triangles formed now namely triangle DCB and DAB.

TRIANGLE DCB

By Pythagorean Theorem, we can write an equation for the height of the pole.

[tex]h^{2} = {53}^{2} - {x}^{2} [/tex]

TRIANGLE DAB

By Pythagorean Theorem, we can write an equation for the height of the pole.

[tex] {h}^{2} = {85}^{2} - {(40 + x)}^{2} [/tex]

Since we only have one pole, this means that we can equate the two equations.

[tex] {53}^{2} - {x}^{2} = {85}^{2} - {(40 + x)}^{2} \\ {53}^{2} - {85}^{2} = {x}^{2} - ( {x}^{2} + 80x + 1600) \\ - 4416 = - 80x - 1600 \\ 80x = 4416 - 1600 \\ 80x = 2816 \\ x = \frac{2816}{80} \\ x = 35.2[/tex]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

[tex]Ratio = 3 : 10 : 7[/tex]

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

[tex]S_1 = \frac{3}{3 + 10 + 7} *180[/tex]

[tex]S_1 = \frac{3 *180}{20}[/tex]

[tex]S_1 = \frac{540}{20}[/tex]

[tex]S_1 = 27[/tex]

The side with ratio 10 is:

[tex]S_2 = \frac{10}{3 + 10 + 7} *180[/tex]

[tex]S_2 = \frac{10 *180}{20}[/tex]

[tex]S_2 = \frac{1800}{20}[/tex]

[tex]S_2 = 90[/tex]

Lastly:

The side with 7 as its ratio

[tex]S_3 = \frac{7}{3 + 10 + 7} *180[/tex]

[tex]S_3 = \frac{7 *180}{20}[/tex]

[tex]S_3 = \frac{1260}{20}[/tex]

[tex]S_3 = 63[/tex]

Hence, the angles are: 27, 90 and 63

Answer:

The proportion of the population used to develop the test that has scores below 1.7 is 0.063.

The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8.

This means that [tex]\mu = 3, \sigma = 0.8[/tex]

What proportion of the population used to develop the test has scores below 1.7?

This is the pvalue of Z when X = 1.7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.7 - 3}{0.8}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.063

The proportion of the population used to develop the test that has scores below 1.7 is 0.063.

Between 1.7 and 2.1?

This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.7.

X = 2.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.1 - 3}{0.8}[/tex]

[tex]Z = -1.13[/tex]

[tex]Z = -1.13[/tex] has a pvalue of 0.1292

X = 1.7

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.7 - 3}{0.8}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.063

0.1292 - 0.063 = 0.0662

The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.

Answer:

y = 84/5 or 16 4/5

Step-by-step explanation:

12/5 = y/7

cross-multiply to get 5y = 84

y = 84/5

Answer:

Arithmetic sequence

Step-by-step explanation:

This is an arithmetic sequence, since each new term is obtained by subtracting 4 from the previous term.

Answer:

Sure but can you show me the triangle.

Answer:

Step-by-step explanation:

[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]

24x=48

x=2

Answer:

The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.

Divide the total change by the original amount to determine the percentage change the new amount represents.

21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.

Answer:

Options C. -5/a

x =1/a is the solution for the given equation. Option D is correct.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation first:

10 = 2 - 4(ax - 3)

10 = 2 - 4ax + 12 (distribute the negative 4)

10 = -4ax + 14 (combine like terms)

Now we can isolate the variable x by subtracting 14 from both sides and then dividing by -4:

10 - 14 = -4ax

-4 = -4ax

x = 1/a

Therefore, the solution to the equation is x = 1/a.

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Answer:

50%.

Step-by-step explanation:

Given that a math class contains 40 students, and there are 18 females (two of whom speak Spanish) and 22 males (two of whom speak Spanish), in order to know the percent of Spanish speaking students that are male with respect to the total Spanish-speaking students, the following calculation has to be made:

2 + 2 = 4

2 / 4 = 0.5

Therefore, the percentage of Spanish speaking students that are male is 50%.

Answer:

Step-by-step explanation:

d = rt

225km = 225,000m

225,000 = 35*t

t = 6,428.57 seconds

or 107.14 minutes

or 1 hour and 47 minutes

5% or 5percent can be thought of 5 per 100.

5 per 100 or 5 out of 100 can be written as 5/100 or 1/20.

An hour have 60 minutes and 1/20 of an hour is 60*1/20=3 minutes.

Therefore Sara can work 3 minutes every hour.

1. He collected 5 gallons of water.

2. We find this out by knowing 5 = 5.

Hope it helps! Good luck! :D

Answer:

[tex]2.41351201 *10^2[/tex]

Step-by-step explanation:

hope this helps have a good rest of your day :) ❤

Answer:

It is equivalent.

Step-by-step explanation:

(x-0.35x) is (Total price-0.35 × the original price)=0.65×

Answer:

a ,c ,b

esa son creo pero nose

The actual dimensions of the rectangular park are 500 cm by 600 cm and actual area of the park is 300,000 ft²

A scale is a set of levels or numbers which are used in a particular system of measuring things or are used when comparing things.

Given that, Blake drew a scale drawing of a rectangle shaped park and used a scale of 1 cm: 20 ft

We need to find the actual width if the width on the scale drawing of the city park is 25 cm, and actual area if the width on the scale drawing of the city park is 25 cm and the length is 30 cm,

a) The given measurement of width in the drawing is 25 cm,

We have,

1 cm = 20 ft

∴ 25 cm = 20 × 25

= 500 ft

b) The given measurement of the width on the scale drawing of the city park is 25 cm and the length is 30 cm,

Actual width = 500 ft

Actual length = 20 × 30 = 600 ft

Area of rectangle = length × width

Actual area = 500 × 600

= 300,000

Hence, the actual dimensions of the rectangular park are 500 cm by 600 cm and actual area of the park is 300,000 ft²

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Answer:

y[tex]\leq[/tex][tex]\frac{1}{2}[/tex]x-2

it is less than because it is shaded down, its less than or equal to because the line is solid.

Answer:

2y < - x - 4

Step-by-step explanation:

First find the equation of the line in the form y=mx+c (straight line)

The y-intercept is at -2 so c=-2.

For each 2 along the x-axis it goes 1 down the y-axis, so the gradient is -1/2, so m = -1/2

We now have y = -(1/2) x - 2

Try a coordinate, e.g. (0,0) one side of that line:

-(1/2) 0 - 2 = -2

-2 is less than 0, but we don't want (0,0) in the region, so we say

y < -(1/2)x - 2 or

2y < - x - 4

Answer:

15,18,21

Step-by-step explanation:

Answer:

15 18 21

Step-by-step explanation:

its skskskskskksksskskkssksksksk

Answer:

x^2 = 49

Step-by-step explanation:

Notice that the polynomial on the left of the equation can be factored out as:

x^2 - 2 x - 35 = (x - 7) (x + 5)

Then the equation:   x^2 - 2 x - 35 = = 0

gives two solutions as follows:

(x - 7) (x + 5) = 0 Then either binomial factor must be zero, and therefore, x = 7 or x = -5

Since we are told that x is POSITIVE, the x = 7, and its square is 7^2 = 49.