Hoang has worked as a nurse at Springfield General Hospital for 7 years longer than her friend Bill. Two years ago, she had been
at the hospital for twice as long. How long has each been at the hospital?

Answers

Answer 1

Answer:

[tex]Bill\to 9\ years[/tex]

[tex]H \to 16\ years[/tex]

Step-by-step explanation:

Let

[tex]H \to Hoang[/tex]

[tex]B \to Bill[/tex]

Currently:

[tex]H = B + 7[/tex]

Two years ago

[tex]H - 2 = 2 * (B -2)[/tex]

Required

H and B

We have:

[tex]H - 2 = 2 * (B -2)[/tex]

Open bracket

[tex]H -2 =2B - 4[/tex]

Add 2 to both sides

[tex]H -2+2 =2B - 4+2[/tex]

[tex]H =2B -2[/tex]

Substitute [tex]H = B + 7[/tex]

[tex]B + 7 =2B -2[/tex]

Collect like terms

[tex]2B - B =7+2[/tex]

[tex]B = 9[/tex]

Substitute [tex]B = 9[/tex] in [tex]H = B + 7[/tex]

[tex]H = B + 7[/tex]

[tex]H = 9 + 7[/tex]

[tex]H = 16[/tex]


Related Questions

A $120.00 pair of shoes at your nearby department store is marked up 4% and then is offered at 45% off. If sales tax is 13%, what is the total amount of tax that must be paid for this pair of shoes?
i need answer ASAP

Answers

Answer:

$26

Step-by-step explanation:

0.8(X - 3) = 18.4

X - 3 = 23

X = 26

Tessellations

Rotate the parallelogram 180° clockwise about point Q.

Please select the best answer from the choices provided

Answers

Answer:

D.

Step-by-step explanation:

I calculated it logically

use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)

The two-way table shows the results of a recent study on the effectiveness of the flu vaccine.

A 4-column table has 3 rows. The first column has entries Vaccinated, not vaccinated, total. The second column is labeled Positive with entries 465, 485, 950. The third column is labeled Negative with entries 771, 600, 1,371. The fourth column is labeled Total with entries 1,236, 1,085, 2,321.

What is the probability that a randomly selected person who tested positive for the flu is vaccinated?

StartFraction 465 Over 2,321 EndFraction
StartFraction 465 Over 1,236 EndFraction
StartFraction 465 Over 950 EndFraction
StartFraction 465 Over 485 EndFraction

Answers

The probability that a randomly selected person who tested positive for the flu is vaccinated  is 465/2321.

What is the probability?

Probability determines the chances that an event would happen. The odds  the event occurs is 1 and the odds that the event does not occur is 0.

The probability that a randomly selected person who tested positive for the flu is vaccinated  = number of people who tested positive and have been vaccinated / total number of people

465/2321

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

Answer:

its  465 Over 950 on edge 2022

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem Find the area. The figure is not drawn to scale​

Answers

Answer:

area=13.8cm^2

Step-by-step explanation:

Does (3,8) make the Equation y=x-5 true?

Answers

Answer:

no

Step-by-step explanation:

A cognitive psychologist believes that a particular drug improves short-term memory. An experiment is conducted in which 8 randomly selected participants are given the drug and then given a short time to memorize a list of 10 words. Participants are then tested for retention 15 minutes after the memorization period. The number of words correctly recalled by each participant is as follows: 8, 9, 10, 6, 8, 7, 9, 7.

Over the past few years, the psychologist has collected a lot of data using this task with similar subjects. Although he has lost the original data, he remembers that the mean was 6 words correctly recalled and that the data were normally distributed.

Required:
a. On the basis of these data, what can we conclude about the effect of the drug on short-term memory? Use α = 0.05.
b. Determine the size of the effect.

Answers

Answer:

We can conclude that there is significant evidence that the drug improves short term memory.

Step-by-step explanation:

Given the sample data : 8, 9, 10, 6, 8, 7, 9, 7.

The sample mean, xbar = Σx / n

Sample standard deviation :

√Σ(x - xbar)²/ n-1)

Xbar = 8

Sample size, n = 8

Standard deviation, s = 1.31

H0 : μ = 6

H0 : μ > 6

The test statistic :

(xbar - μ) ÷ (s/√(n))

(8 - 6) / (1.31 / √8)

2 /0.4631549

Test statistic = 4.318

Decision region :

Reject H0 ; if Pvalue < α

α = 0.05

Pvalue from Tscore calculator :

df = n - 1 ; 8 - 1 =7

Pvalue(4.318, 7) = 0.001744

Pvalue < α ; We reject H0 ; and conclude that there is significant evidence that the drug improves short term memory.

22/33 = a/24 sovle the proportion​

Answers

22/33=a/24
22x24 = 33xa
a=22x24/33
a=16

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 84 on the statistics test and a 96 on the calculus test. Calculate the z-score for each test. On which test did the student perform better relative to the other students in each class

Answers

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so [tex]\mu = 79, \sigma = 4.5[/tex]

Student got 84, so [tex]X = 84[/tex]

The z-score is:

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

[tex]Z = \frac{84 - 79}{4.5}[/tex]

[tex]Z = 1.11[/tex]

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so [tex]\mu = 69, \sigma = 3.7[/tex]

Student got 96, so [tex]X = 96[/tex]

The z-score is:

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

[tex]Z = \frac{96 - 69}{3.7}[/tex]

[tex]Z = 7.3[/tex]

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Pwease help i will give you brain thing if its correct ♡

Answers

Answer:

1. 54 = 0.6x

2. 90 dollars (see below)

Step-by-step explanation:

54 = 0.6x

0.6 is the decimal equivalent of 60%

Divide both sides by 0.6:

54/0.6 = 0.6x/0.6

90 = x

study the figure what is the measure of angle x?​

Answers

Answer:

E.128°

Step-by-step explanation:

180°-33°-19°=128°

if f(x)=5x-1, then f^-1(x)=

Answers

Answer:

F⁻¹(x) = [tex]\frac{1}{5} x +1[/tex]

Step-by-step explanation:

Inverse of 5 would be 1/5, and

Inverse of -1 would be +1

Hope this helps!

Answer:

-6

Step-by-step explanation:

if f(x)=-1

then you plug -1 into the equation then you get 5(-1)-1

then multiply 5 and -1 and get -5

so now youre left with -5-1

-5-1= -6

Help Give brainliest quickly

Answers

Answer:

I think the answer is forth one

Henry started an assignment at 4:13 PM and finished it at 5:41 PM.
How long did it take him? Give your answer in minutes.

Answers

it would have token him 28 minutes
answer: it took henry 88 minutes.

explanation: 60-13=47 and 47+41=88.

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

the last one :)

Step-by-step explanation:

An hour before show​ time, only 266 people are seated for a movie. . According to ticket​ sales, 93​% of the people have yet to arrive. How many tickets were sold for the movie

Answers

Answer:

3800 tickets

Step-by-step explanation:

we are given that,

total people seated:266

yet to come:93%

so the percentage of people who have arrived is 100%-93%=7%

and one ticket for each people

therefore,

[tex] \displaystyle \begin{array}{ccc} \displaystyle \rm7\% \quad \text{People} \implies266 \: \text{tickets} \\ \displaystyle100 \%\: \quad \imath \imath \implies \frac{266}{7\%} \: \: \: \: \imath \imath \\ \\ \qquad \displaystyle \qquad\rm as \: \% = \frac{1}{100} \longleftarrow \frac{266}{ \dfrac{7}{100} } \\ \\ \displaystyle \rm \: by \: simplifying \: complex \: fraction\longleftarrow 266 \times \frac{100}{7} \\ \rm reduce \: fraction \longleftarrow 38 \times 100 \\ \rm simplify \:multiplication \longleftarrow3800\end{array}[/tex]

hence,

3800 tickets were sold for the movie

Answer:

Solutions given:

[100%-97%]=266people

7% =266people

Each people is 1 ticket.

266 people =266tickets

so

7% of people=266ticket

100% of people =266/7×100=3800tickets

3800tickets were sold for the movie

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?

Answers

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

• What is the difference? Complete the equation.
–30 – (-10) =
?

Answers

The answer to the question is -20

Solve for x
x ^2 +3x−4=0

Answers

Answer:

= 1

= − 4

Step-by-step explanation:

Answer:

The solution set is {-4, 1}.

Step-by-step explanation:

x^2 + 3x − 4 = 0

(x + 4)(x - 1) = 0

x = -4, 1.

The nutritional content per ounce of three foods is presented in the table below. If a meal consisting of the three foods allows exactly
1800 calories, 75 grams of protein, and 5650 milligrams of vitamin C, how many ounces of each kind of food should be used?
Food A
Food B
Food C
Calories
100
500
200
Protein
(in grams)
5
6
11
Vitamin C
(in milligrams)
400
2050
400
Food A:
OZ
Food B:
OZ
Food C:
OZ

Answers

Answer:

A = 5 ounces

B = 1 ounces

C = 4 ounces

Step-by-step explanation:

The 3 foods contain exactly 1800 calories but food A is 100 calories, food B is 500 calories and food C is 200 calories. Thus;

100A + 500B + 200C = 1800 - - - (eq 1)

The 3 meals allows exactly 75 grams of protein while A is 5 grams, B is 6 grams, C is 11 grams.

Thus;

5A + 6B + 11C = 75 - - - (eq 2)

The 3 meals allows exactly 5650 milligrams of vitamin C while A is 400 mg, B is 2050 mg and food C is 400 mg. Thus;

400A + 2050B + 400C = 5650 - -(eq 3)

Solving the 3 equations simultaneously online, we have;

A = 5 ounces

B = 1 ounces

C = 4 ounces

Food A is 5 ounces, Food B is 1 ounce, and Food C is 4 ounces and this can be determined by forming the linear equation in three variables.

Given :

The nutritional content per ounce of three foods is presented in the given table.A meal consisting of the three foods allows exactly  1800 calories, 75 grams of protein, and 5650 milligrams of vitamin C.

Let the total amount of Food A be 'A', total amount of Food B be 'B', and the total amount of Food C be  'C'.

The linear equation that represents total calories in each food is:

100A + 500B + 200C = 1800  

[tex]\rm A =\dfrac{ 1800 - 500B-200C}{100}[/tex]      

[tex]\rm A =18 - 5B-2C[/tex]       --- (1)

The linear equation that represents total protein in each food is:

5A + 6B + 11C = 75    ---- (2)

The linear equation that represents total Vitamin C in each food is:

400A + 2050B + 400C = 5650   --- (3)

Now, substitute the value of 'A' in equation (2).

[tex]\rm 5(18-5B-2C)+6B+11C=75[/tex]

Simplify the above equation.

90 - 25B - 10C + 6B + 11C = 75

C - 19B = -15

C = 19B - 15     ---- (4)

Now, substitute the value of 'C' in equation (1).

A = 18 - 5B - 2(19B - 15)

A = 18 - 5B - 38B + 30

A = 48 - 43B  --- (5)

Now, substitute the value of A and C obtains in equations (4) and (5) in equation (3).

A = 5 ounces

B = 1 ounce

C = 4 ounces

For more information, refer to the link given below:

https://brainly.com/question/2263981

To much????????????????

Answers

Answer:

That's ain't enough

I love you

Answer:

NO MORE

Step-by-step explanation:

i love you to

what is the area of the object above​

Answers

The area would be 90cm
Explanation: To find area u multiple length times width, therefor 12x7 = 84 and 2x3 = 6
Then add it all together and it will equal 90cm

Jeremy was saving $8 per week.
How many weeks would it take him to save $124?​

Answers

set n as the value of weeks jeremey needs to save

so jeremy needs to save 8n = 128

so n =[tex]\frac{128}{8}[/tex] = 16 weeks

It would take 15 full weeks and a half of one week

HELP PLEASE I WILL MARK BRAINLIEST!

Answers

Answer:

x = 35

y = 100

Step-by-step explanation:

∠AEB and ∠DEC are vertical angles because they are opposite each other; they are also equal because of this. We can write an equation to model the situation:

∠AEB = ∠DEC

50° = x° + 15°

x = 35

∠AEB and ∠AED are supplementary because the form a line; this means they add up to 180°

∠AEB + ∠AED = 180°

50° + y + 30° = 180°

y + 80°  = 180°

y = 100

Liam has 60 seeds and 12 plastic cups, and will plant the same number of seeds in each cup. Whicl equation shows the number of seeds in each cup? es 4 60 - 5 도 A 1260 5-12​

Answers

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

20. Given circle C with radius r and circle D with radius

s, what is an appropriate first step when proving

circle C is similar to circle D?

O A. Transform circle C with a dilation that has center

Cand scale factors.

B. Transform circle C with a dilation that has center

C and scale factor r.

O C. Transform circle C with the translation that maps

point Conto point D.

OD. Transform circle C with the translation that maps

point onto point C.

Answers

Answer:

A. Transform circle C with a dilation that has center  C and scale factor s.

Step-by-step explanation:

Given

Circle C

[tex]radius = r[/tex]

Circle D

[tex]radius = s[/tex]

Required

Map C to D

From the question, we can assume that:

[tex]r \ne s[/tex]

This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.

To map C onto D,

1) C has to be dilated from its own center C

2) The scale of dilation will be equal to the radius of D (i.e. s)

Hence, (A) is correct

Answer:

It's C

Transform circle C with the translation that maps point Conto point D.

PLease Help help Help

Answers

Answer:

98.1 square units

Step-by-step explanation:

know you need it quick

I need help with this

Answers

Answer:

65*

Step-by-step explanation:

All angles in a triangle = 180 degrees.

The unknown (a) is 60° so if you add each angle of this triangle you would get 175° total.
I got my answer by adding 60°+35°+80° and ended up with 175°. In quick math, you can just add 6+8=14 and add the zero so it would be 140 then add 35 which basically you just need to add 3+4=7 then add the zero once again making the answer a 170 and then just add the leftover 5 you got from the 35.

A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from the base along the axis of symmetry and the opening is 20 feet​ across, how deep should the searchlight​ be?

Answers

Answer:

The searchlight should be 6.25ft deep

Step-by-step explanation:

Given

[tex]Across = 20ft[/tex]

[tex]Base = 4ft[/tex]

Required

The depth of the searchlight

[tex]Across = 20ft[/tex] implies that the search light span 10 units to either side of the x-axis

[tex]Base = 4ft[/tex] implies that the search light span 4 units to the y-axis

The attached image illustrates the revolution.

From the attached image, the endpoints of the searchlight is:

[tex](x,y) = \{(-10,4), (10,4)\}[/tex]

The depth (a) of the search light is calculated using:

[tex]x^2 = 4ay[/tex]

Make a the subject

[tex]a = \frac{x^2}{4y}[/tex]

Substitute -10 or 10 for x and 4 for y

[tex]a = \frac{(-10)^2}{4*4}[/tex]

[tex]a = \frac{100}{16}[/tex]

[tex]a = 6.25ft[/tex]

5. Penny and her family went out to eat at a local
restaurant. Three of them ordered a fried shrimp
basket, but her daughter Meghan ordered a basket
of chicken tenders, which was $4.95 less than the
shrimp basket. If the total order before tax was
$46.85, what was the price of a shrimp basket?

Answers

Answer: $13.45

Step-by-step explanation:

1. 48.85 + 4.95 = 53.8

2. 53.8/4 = 13.45

3. Shrimp basket = $13.45

Other Questions
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