Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]

Answers

Answer 1

Answer:

  6 shirts

Step-by-step explanation:

The cost of a shirt and 2 ties is ...

  $18.50 +2(7.50) = $33.50

For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.

Frank can buy 6 shirts (and 12 ties) for an amount less than $205.

_____

Additional comment

Frank's cost will be $201 for that purchase.


Related Questions

Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?

Answers

Answer:

.25

Step-by-step explanation:

.20 because 20 goes into 100 5 times


The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 46 meters. Find the width.

Answers

Answer:

.

Step-by-step explanation:

A store sells 5 T-shirts for $48.05. What is the unit cost per T-shirt?

Answers

Answer:

$9.61 per shirt

Step-by-step explanation:

You take the total cost of $48.05 and divide it by the number of t-shirts which is 5.

48.05/5 = 9.61

What is the equation in slope-intercept form for the line that passes through the points (-6, 4) and (12, 13)​

Answers

Answer: y= 1/2x + 7

Step-by-step explanation:

Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.) f(x, y) = 25 − (x − 5)2 − y2

Answers

Take the first partial derivatives of f(x, y):

∂f/∂x = -2 (x - 5) = 10 - 2x

∂f/∂y = -2y

The critical points occur where both derivatives are zero:

10 - 2x = 0   ===>   x = 5

-2y = 0   ===>   y = 0

So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.

Compute the Hessian matrix for f :

[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}[/tex]

Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.

f has no saddle points.

GIVING OUT BRAINLIEST!!

Answers

Answer:

Jill plz tell if i am right

Step-by-step explanation:

give me schoology website

(Score for Question 2: of 27 points) 2. Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1 х y 2 17 0 5 Sidewalk 2 х у 1 20 3 26 (a) Write the equation for Sidewalk 1 in slope-intercept form. (b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form. (c) Is the system of equations consistent independent, coincident, or inconsistent? Explain. a. Note: Review 2.11 Strange Solutions and 5.05 Classifying Systems if you're not sure where to start. (d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?


PLS HURRRRRRY i need this answer the real one and step by step pls if u dont know it dont try​

Answers

Answer:

Step-by-step explanation:

From the question, I couldn't really tell what the chart looks like, so I am guessing it looks like this:

Sidewalk 1:

x  |  y

2  |  17

0  | 5

Sidewalk 2:

x  |  y

1  |  20

3  | 26

Part a.

Now, we have to write the equation for sidewalk 1 in slope-intercept form.

Slope-intercept form is represented as this: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. Because this is true for all values on the line, we can plug in values of the chart for Sidewalk 1.

[tex]17=2m+b\\5=0m+b[/tex]

Subtracting the second equation from the first, we have

[tex]12=2m[/tex], and [tex]m = 6[/tex].

Now, we can just plug 6 back into the first equation to get:

[tex]17=2(6)+b[/tex]  to get [tex]17 = 12 + b[/tex], and then [tex]b = 5[/tex].

Now, we can just rewrite slope intercept form for Sidewalk 1 to have

[tex]y=6x+5[/tex].

Part b.

Point-slope form is represented as [tex]y-y_1=m(x-x_1)[/tex], where x and y are the coordinates of one point, and x1 and y1 are the coordinates of another point on the line. Because the chart represented for Sidewalk 2 includes a point, namely [tex](1, 20)[/tex] and [tex](3, 26)[/tex], we can plug this in and solve for the slope:

[tex]26-20=m(3-1)[/tex]

This is it in point-slope form. Because the second part of the question asks us to convert to slope-intercept form, we must solve for the slope, or m.

Expanding, we have [tex]26-20=3m-m[/tex]

Combining like terms, we have [tex]6 = 2m[/tex], and then [tex]3 = m[/tex]. Now, we need to plug a point and the slope back into point-slope form, not needing another point. We choose [tex](1, 20)[/tex], even though [tex](3, 26)[/tex] works just as well.

[tex]y-20=3(x-1)[/tex]

Expanding, we have [tex]y-20=3x-3[/tex]

Adding 20 to both sides, we have [tex]y=3x+17[/tex]

Part c. and d.

We see that both equations do not have the same slope, so then they are not parallel, meaning they don't have no solutions. If they have a solution, we can set them equal to each other.

[tex]3x+17=6x+5[/tex]

Subtracting 3x, we have [tex]17=3x+5[/tex]

Subtracting 5, we have [tex]12 = 3x[/tex]

Dividing by 3, we have [tex]x = 4[/tex].

Because there is no x = x, or anything like that, the solution does not have infinite solutions and therefore has one solution, meaning it is consistent independent.

Tutori
A decade ago, the average class size at Belmont Middle School was 30 students. Now it is
40% larger. What is the average class size currently?
PLS HELP

Answers

Answer:

42 students

Step-by-step explanation:

Initial class size = 30 students

Class size now is 40% larger:

30 + 40% = 30 + 30*40/100 = 30 + 12 = 42

First let's find larged amount

[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]

[tex]\\ \sf\longmapsto 0.4(30)[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Class size=30+12=42students

The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a person selected at random is going to City D

Answers

Answer: 12% of people responded as City D

solve using quadratic formula
6x^2-x=2

Answers

[tex]6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]

[tex]x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}[/tex]

draw a diagram for this fraction

2 2/3​

Answers

Answer:

OOO

OOO

OO

Step-by-step explanation:

Where OOO is == 1.

OO is 2/3 of OOO.

consider the graph of a linear equation. see below , which statement is true?

Answers

Answer:

B

Step-by-step explanation:

If you go to -4, 0 the line intersects that point

Which graph represents the solution set of 3x - 4y <-8

Answers

Answer:

xd

Step-by-step explanation:

3X+4y=8

this is the graph that represents the solution

3/4 ÷ a = 1/4. Solve for a

Answers

Answer:

a = 3

Step-by-step explanation:

ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4

you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4

then you cross multiply and you get 12=4a

swap sides so its going to be 4a = 12

divide both sides by 4 and you get a = 3

Does anyone know how to do this function

Answers

Answer:

Step-by-step explanation:

f(x) = 2x + 1

g(x) = ?

h(x) = ln(x)

hgf(x) = ½ln(2x - 3)

All h(x) does is take a natural log of a number, therefore the output

gf(x) = [tex]\sqrt{2x - 3}[/tex]

the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.

g(x) = [tex]\sqrt{x - 4}[/tex]

HELP PLS ASAP!!!!!!! I WILL GIVE BRAINLIEST, 5 STARS, AND A THANKS PLS HELP

Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box. How many boxes were left over?

A. 1/2 box
B. 3/5 box
C. 5/6 box
D. 1 2/5 box

Answers

Answer:

c

brainlest

Step-by-step explanation:

The answer is c


One half plus a third 1/2 +1/3 you change the demonator to six so you have to multiple the first one by three and the second one by two and that gives you 5/6. :)

Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 46% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 37% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped

Answers

Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Fail the test.Event B: Unfit.

The probability of failing the test is composed by:

46% of 37%(are fit).100% of 63%(not fit).

Hence:

[tex]P(A) = 0.46(0.37) + 0.63 = 0.8002[/tex]

The probability of both failing the test and being unfit is:

[tex]P(A \cap B) = 0.63[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873[/tex]

0.7873 = 78.73% probability that Mona was justifiably dropped.

A similar problem is given at https://brainly.com/question/14398287

what is the area of a rectangle if 1 base is 14 in, the 2nd base is 3.5 in and the height is 8 in?​

Answers

Check the picture below.

notice, we have three pair of sides, let's add them all up to get the area

[tex]\stackrel{\textit{left and right}}{2(8\cdot 14)}+\stackrel{\textit{front and back}}{2(3.5\cdot 8)}+\stackrel{\textit{top and bottom}}{2(3.5\cdot 14)}\implies 378~in^2[/tex]

answer fully /// /////////////////////

Answers

Answer:

Step-by-step explanation:

Yes, but like they say in Vegas, you're trying to make your point the hard way.

8 * (8 - 4)              So the distributive property is means remove the brackets.

8*8 - 4*8               What you have done is multiply the numbers on either side of the - sign by 8. It is a good practice NOT to destroy the minus sign just yet.

64 - 32

32                          The answer is 32. That's how the distributive property works

With this question only It might be easier to do what is inside the brackets first. That's making your point the easy way.

8*(8-4) = 8* 4 = 32

Help me pls it's hard :(

Answers

Answer:

[tex]\huge\colorbox{blue}{A}\huge\colorbox{orange}{N}\huge\colorbox{gray}{S}\huge\colorbox{red}{W}\huge\colorbox{yellow}{E}\huge\colorbox{purple}{R}[/tex]

hitsss

Convert 95°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=- (F-32)
-F
9
F==C+32

Answers

Answer:

35 degrees celsius

(Note: a research study on coniferous trees of the American West
may sound really boring, but sometimes you might get to climb one
Scientists studying beetle infections on in Western forests discover
that in one particular region called Doug's Backyard, the number of
trees with beetle infestations seems lower than the surrounding
area. In the entire forest they're studying, the rate of severe beetle
infestations is about 0.07 (7%) of the trees, but in a sample of trees
from Doug's Backyard, they found just 0.035 (3.5%) of the trees to
be infested. Based on their statistical calculations, the likelihood that
their sample is just an accident -- that is, that the trees from Doug's
Backyard are actually infested at the same rate as the whole region -
- is 0.003, so they deem their results significant
In this story problem:
• p = 0.07
• Ô
[Select)
• Po =
[ Select)
• The p-value
[Select]

Answers

Answer:

p = 0.07

p-hat = 0.035

p0 = 0.07

p-value = 0.003

Step-by-step explanation:

p = population parameter, in this case, the rate of infestations across all trees in the forest

p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard

p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%

p-value = the likelihood any difference between p and p-hat is down to chance

In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;

We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).

Help help help help please math math

Answers

Answer:

Answer ️️

Step-by-step explanation:

5.1÷104 = 4.903846154

. To do the ham số y = 3x - 3

Answers

Step-by-step explanation:

subject arts and architecture what primary

three sevenths of num is 12.find
the number​

Answers

Answer:

x = 28

Solution:

3/7x = 12

3/7x ÷ 3/7 = 12 ÷ 3/7 ( divide 3/7 in both sides )

x = 12 ÷ 3/7 (divide)

x = 84/3 (simply divide 84 and 3)

x = 28

_______________________

(solution for dividing the fraction and the whole number 12 and 3/7, for those who don't know how to divide fractions and whole numbers...)

12/1 ÷ 3/7

12/1 ÷ 7/3 (reciprocal method)

12/1 × 7/3 (change operation to multiplication)

12/1 × 7/3 = 84/3 (multiply)

84/3 ⇒ 28 (simplify)

Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes cost $4.50 and he played in 5 games, what was the price per game?

Answers

Answer:

$2 each

Step-by-step explanation:

$14.50-$4.50=$10.00

10.00/5 games =$2 each

Solve the following:
1. What is the sum of 45.363, 90,4506 and 12.045?
2. What is the difference when 12.3456 subtracted from 89.05?
3. When 562.456 added to 212.0536, what is the answer?
4. Take away 34.4568 from 79.56. What is the result?
5. What is the answer when 145.63 increased by the difference of
236.14 and 56.3456?



SHOW YOUR SOLUTIONS

Answers

Answer:

Do in calculator simple answer

pls help me solve the missing answers thanks!

Answers

Answer: I'll give you formula

Step-by-step explanation: circumference = 2 x π x radius

radius = diameter÷2      area = π × radius²

I don’t wanna fail if you know the answer pls help me :(

Answers

Answer:

5.62790697674

Step-by-step explanation:

there you go

Answer:

the annswer is 5

Step-by-step explanation: you just have to divide the highlighted numbers, which are 20 ÷ 5

4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
What is the formula for
this?

Answers

There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have

104 = 8•13

195 = 15•13

so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.

Then the sum we want is

[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]

or equivalently,

(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)

To compute these sums, recall the following formula:

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]

and

[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]

which means the sum we want is 14,950 - 1,196 = 13,754.

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