In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad ones in the bag is 36, how many oranges are there altogether?

Answer:

The correct option is 2.

Step-by-step explanation:

The formula form speed is

[tex]speed=\frac{distance}{time}[/tex]

[tex]time=\frac{distance}{speed}[/tex]

It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is

[tex]t_1=\frac{16}{40}[/tex]

Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is

[tex]t_2=\frac{16}{s}[/tex]

It is given that his total trip takes 1 hour.

[tex]\frac{16}{40}+\frac{16}{s}=1[/tex]

[tex]\frac{16s+640}{40s}=1[/tex]

[tex]16s+640=40s[/tex]

[tex]640=40s-16s[/tex]

[tex]640=14s[/tex]

Divide both sides by 14.

[tex]\frac{640}{24}=s[/tex]

[tex]s=26.666667[/tex]

[tex]s\approx 27[/tex]

Aidan return with speed about 27 mph Therefore the correct option is 2.

Answer:

B

Step-by-step explanation:

did it on edg

From linear pair postulate, if two angles are in linear pair, then they are supplementary.

Also, the definition of supplementary angles states that the sum of the angles is 180 degrees.

Hence, the correct option is Definition of supplementary angles.

Answer:

Local maximum: (0,1)  

Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]

Step-by-step explanation:

To estimate the local maximum and local minimum using graph.

Local maximum: It is largest value of function for all other values of function near by.

Local minimum: It is smallest value of function for all other values of function near by.

A function has two extrema maxima or minima.

Please see the attachment for graph.

In graph highest point only 1, Only one local maximum at x=0

Local maximum: (0,1)

In graph two lowest point at [tex]x=-\pi\text{ and }x=\dfrac{3\pi}{2}[/tex]

Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]

Hence, Local maximum: (0,1) ; Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]

yes:

100/50 = 2

250/5 = 5

The acceptance rate of the students is 51.1%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a local university accepted 2,300 students out of 4,500 applicants for admission.

The acceptance rate will be calculated as,

Acceptance rate  = ( 2300 x 100 ) /4500

Acceptance rate  =   51.1 %

Therefore, the acceptance rate of the students is 51.1%.

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It would take 20 sessions to break even on what she spends for the snow blower.

The cost of the snow blower is $689, hence:

Cost = $689

Let x represent the number of sessions, Since $35 is paid to clear the driveway, hence:

Revenue = 35x

At breakeven:

Cost = Revenue

35x = 689

x = 20 (to nearest whole number)

Hence it would take 20 sessions to break even on what she spends for the snow blower.

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The permutations formula is applied to determine the number of different 5-digit combinations where successive digits must be different, resulting in a total of 30,240 combinations.

Permutations are used when the order of elements matters. In this case, the number of different 5-digit combinations where successive digits must be different can be calculated using the permutations formula.

The total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].

Further explanation:

Given:

Danny spends $5.87 on a photo, $2.49 for balloon and $4.50 on strawberries.

Calculation:

Consider the total money spent as [tex]S[/tex], money spends on photo as [tex]x[/tex], money spends on balloons as [tex]y[/tex] and money spend on strawberries as [tex]z[/tex].

Total money spent [tex]S[/tex] is written as the sum of the money spent on photo [tex]x[/tex], balloons [tex]y[/tex] and strawberries [tex]z[/tex] as follows:

[tex]S=x+y+z[/tex]                                                                        …… (1)

Substitute, 5.87 for [tex]x[/tex], 2.49 for [tex]y[/tex] and 4.50 for [tex]z[/tex] in equation (1) to obtain the total money spent by Danny as follows:

[tex]\begin{aligned}S&=5.87+2.49+4.50\\&=8.36+4.50\\&=12.86\\\end{aligned}[/tex]

Thus, the total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].

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1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

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2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

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3. what are the domain and range of the function f(x) = 3x + 5?  

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:

Money, Danny, anniversary, photo, balloon, strawberries, dollar, spent, x+y+z, function, substitution, direct substitution, elimination, graph, middle term factorization, scientific notation.

Answer: There are 220 employees working now.

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the number of employees by the percentage in decimal form.

So, mathematically speaking:

Finally, we subtract the number obtained to the initial number of employees.

There are 220 employees working now.

Feel free to ask for more if needed or if you did not understand something.