Each year a school sends 50 students to a conference. Last year, the cost was $12.50 per student. This year, the cost per student has increased by 16%. How much will it cost to send 50 students to the conference this year

Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent

Given only that m<2 = 34, we can't find the value of m<4. More information about the relationship between these angles is needed to solve the problem.

The question asks to find the value of m<4 given that m<2=34.

It's important to note here that 'm<2' and 'm<4' are two different angle measures. Without more information about their relationship, such as them being supplementary, complementary or vertically opposite angles, it's impossible to find the measure of m<4 based on m<2 alone.

So, we can't find the value of m<4 using only the information provided. You might need to look back at the original problem or figure to see if there is additional information available about these angles.

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Answer:

Michelle has a higher batting average with 0.475

Step-by-step explanation:

Batting average is equal to the number of hits divided by the number of times at bat:

First, we have to know the batting average of both players:

Eva:

Hits = 42

Times at bat = 90

Now we divide to get the batting average:

42/90 = 0.466

Michelle:

Hits = 38

Times at bat = 80

Now we divide to get the batting average:

38/80 = 0.475

Michelle has a batting average of 0.475 compared to Eva's which is a 0.466, so Michelle's has a higher batting average.

Answer: [tex]45781.2\text{ cm}^3 [/tex]

Step-by-step explanation:

From the given picture, the diameter of the base of cylinder = 12 cm

i.e. the radius of the cylinder =[tex]r=\dfrac{12}{2}=6\ cm[/tex]

Height = 15 cm

If the dimensions of the following cylinder are tripled, then the radius of cylinder =[tex]3\times6=18\ cm[/tex]

Height=[tex]3\times15=45\ cm[/tex]

We know that the volume of a cylinder is given by :-

[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\\text{Volume}=(3.14)(18)^2(45)\\\\\Rightarrow\text{Volume}=45781.2\text{ cm}^3 [/tex]

Answer:4.8 days =6956

Step-by-step explanation:

Final answer:

To solve the equation 2q + 10 = 7q, subtract 2q from both sides and then divide by 5, resulting in q = 2.

Explanation:

To solve the equation 2q + 10 = 7q, you need to isolate the variable q on one side. Here are the steps you should follow:

Subtract 2q from both sides to get all q terms on one side of the equation: 2q + 10 - 2q = 7q - 2q, which simplifies to 10 = 5q.

Divide both sides by 5 to solve for q: 10 / 5 = 5q / 5, resulting in q = 2.

Therefore, the value of q that solves the equation is 2.

Michael made approximately $4.08 per lawn by dividing the total earnings of $159 by the total number of lawns 39 he mowed.

To find out how much Michael made per lawn, we need to divide the total amount of money he earned by the number of lawns he mowed. Michael earned $159 over the summer and mowed 39 lawns. Therefore, we calculate the earnings per lawn using the following equation:

Earnings per lawn = Total money earned \/ Number of lawns mowed

Earnings per lawn = $159 / 39

Now, let's do the calculation:

Earnings per lawn = $4.0769...

To provide an approximate value, we round the amount to the nearest cent, which gives us an answer of approximately $4.08 per lawn.

Area models can be used to solve multiplication problems by visually representing the multiplication as the area of a rectangle or square. The model is divided into equal-sized sections, with the number of sections representing one factor and the size of each section representing the other factor. The total area of the model gives the product of the two factors.

Area models can be used to solve multiplication problems by visually representing the multiplication as the area of a rectangle or square. The model is divided into equal-sized sections, with the number of sections representing one factor and the size of each section representing the other factor. The total area of the model gives the product of the two factors. For example, if we have a model representing 4 × 3, we can divide the model into 4 equal sections horizontally and 3 equal sections vertically, and the total area will be 12, which is the product of 4 and 3.

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Answer:

yes

Step-by-step explanation:

Answer:

d)Before cooling begins, the temperature of the water is 22°C

Step-by-step explanation:

Given equation that shows the temperature of the bowl after t minutes,

[tex]D=-\frac{7}{5}t+22[/tex]

Initially ( when ice is not placed ) t = 0,

So, the temperature of the water,

[tex]D=(0) + 22 = 22^{\circ}[/tex]

i.e. Option d) is correct.

If t = 7 minutes,

The temperature would be,

[tex]D=-\frac{7}{5}\times 7+22[/tex]

[tex]=-\frac{49}{5}+22[/tex]

[tex]=-\frac{49+110}{5}[/tex]

[tex]=\frac{61}{5}[/tex]

[tex]=12.2^{\circ}C[/tex]

So, the change in temperature = 12.2° - 22° = -9.8°,

Thus, option a) is incorrect.

If x = 5 minutes,

The temperature would be,

[tex]D=-\frac{7}{5}\times 5+22=-7+22 = 15^{\circ}[/tex]

Change in temperature = 15° - 22° = -7°,

So, Option b) is incorrect.

∵ The temperature of the ice must be less than 22°,

Thus, option c) is incorrect.

Answer:

the anwser would be 12 and 168

Answer:

The capacity to acquire certain skills

Step-by-step explanation:

Step-by-step explanation:

if F=ma

therefore m will be equal to dividing a

f/a=m

therefore mass is force divided by acceleration.