The sum of two numbers is 17. One number is 3 less than şof the other number.
What is the lesser number?

Answer:

The length of the hypotenuse is: 45 yards

Step-by-step explanation:

Given

a=27 yd

b=36 yd

To Determine

Hypotenuse = c

Pythagorean Theorem

For a right-angled triangle with sides a, b, and c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

as

a=27

b=36

so substituting a=27, b=36

[tex]c=\sqrt{27^2+36^2}[/tex]

[tex]c=45[/tex] yards

Therefore, the length of the hypotenuse is: 45 yards

Answer:

3. x = 8

4. x = 80

Step-by-step explanation:

3. 37 and (6x - 11) are congruent angles:

37 = 6x - 11

48 = 6x

x = 8

4. 2(x - 9) and 142 are congruent angles:

2(x - 9) = 142

2x - 18 = 142

2x = 160

x = 80

Answer:

Step-by-step explanation:

Q3

Corresponding angles are congruent

Q4

Angle2 is complementary with 142 and alternate interior with  2(x + 9)

Step-by-step explanation:

I dont now but i think 20 or 34

Answer:

=10√5 or 22.36068 as a decimal

the ^ is to the power of

Step-by-step explanation:

2^2 x 5^3

=[tex]\sqrt{2^{2} 5^{3} }[/tex] (you don't need the x it just did not let me put it in otherwise)

apply the exponent rule 2^2 x 5^3= 5^2 x 5 = √2^2x5^2x5

√2^2x5^2x5= √2^2 √5^2 √5= √2^2√5^2√5

next, apply the radical rule

√2^2=2 =2√5^2 √5

√5^2=5 = 2x5√5

=10√5 which is also 22.36068 as a decimal

Answer:

x = 4

y = 8

Step-by-step explanation:

From the question given above,

3.2x – 0.6y = 8 .......... (1)

–0.8x + 0.9y = 4 ......(2)

We shall determine the value of x and y by using elimination method as illustrated below:

3.2x – 0.6y = 8 .......... (1)

–0.8x + 0.9y = 4 ......(2)

Multiply equation 1 by 0.8 and equation 2 by 3.2

0.8 × (3.2x – 0.6y = 8)

2.56x – 0.48y = 6.4 ......... (3)

3.2 × (–0.8x + 0.9y = 4)

–2.56x + 2.88y = 12.8....... (4)

Next, add equation 3 and 4 together. This is illustrated below:

,,,,,, 2.56x – 0.48y = 6.4

+ –2.56x + 2.88y = 12.8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2.4y = 19.2

Divide both side by 2.4

y = 19.2 / 2.4

y = 8

Substitute the value of y into any of the equation to obtain the value of x. Here, we shall use equation equation 1. This is illustrated below:

3.2x – 0.6y = 8

y = 8

3.2x – 0.6(8) = 8

3.2x – 4.8 = 8

Collect like terms

3.2x = 8 + 4.8

3.2x = 12.8

Divide both side by 3.2

x = 12.8 / 3.2

x = 4

From the calculations made above,

x = 4

y = 8

Answer:

C. 7

Step-by-step explanation:

First you have to find the unit rate of this equation

The unit rate is 20 students for every 1 teacher because 40 divided by 2 is 20

so if you do 140 divided by 20 your answer is 7

there are 7 teachers

Answer:

£6,910.70

Step-by-step explanation:

The computation of the amount invested is given below:

As we know that

Amount = Principal × (1 + rate of interest)^number of years

£8000 = Principal × (1 + 0.05)^3

£8000 = Principal × 1.05^3

£8000 = Principal × 1.157625

So, the principal amount is

= £8000 ÷ 1.157625

= £6,910.70

Answer:

2f+9

Step-by-step explanation:

Answer:

(2+9)*f

= 11*f

Step-by-step explanation:

Final answer: 11f~

Answer:

This will be letter j).  1,767.1 in 3

Step-by-step explanation:this is the closest estimate to the cubic inch plz brainliest

Answer:

I believe the angle X is 47.

Answer:19 1/2

Step-by-step explanation:

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

Answer:

Almonds cost $8 per pound and Cashews cost $10 per pound.

Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:

8a + 10c = 60

Only Cashews:

This means that Almonds would be zero.

8(0) + 10c = 60

10c = 60

c = 60/10

c = 6 pounds of cashews

Only Almonds

8 * a + 10(0) = 60

8a = 60

a = 60/8

a = 7.5 pounds of almonds

A mixture of both.

We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.

Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:

8 * 5 + 10c = 60

40 + 10c = 60

10c = 60 - 40

c = 20/10

c = 2 pounds of cashews

Answer:

It will cost $12.5 per person to charter a bus for 36 passengers

Step-by-step explanation:

The cost per person c of chartering a tour bus  varies inversely as the number of passengers  n.

We can write:

[tex]c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}[/tex]

where k is constant of proportionality

We are given when c = 22.50, n = 20

We need to find c when n = 36

First using c = 22.50, n = 20 we will find k, the constant of proportionality

[tex]c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450[/tex]

So, we get k = 450

Now, we will find c when n = 36

[tex]c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5[/tex]

So, we get the value of c: c = 12.5

Therefore, It will cost $12.5 per person to charter a bus for 36 passengers

Answer:

approximately 10

Step-by-step explanation:

Volume = 1/3h times [tex]\pi[/tex] times radius square

1570 = 1/3 x 15 x 22/7 x [tex]r^{2}[/tex]

1570 = 5 times [tex]\frac{22}{7}[/tex] times [tex]r^{2}[/tex]

1570 = 15.71[tex]r^{2}[/tex]

[tex]\frac{1570}{15.71}[/tex] = [tex]\frac{15.71 r^{2}}{15.71}[/tex]

99.9 = r^2

[tex]\sqrt{99.9}[/tex] = r

≅10

Answer:

the answer should be c

Step-by-step explanation:

A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles

Whiskers function in a box and whisker plot represent the interquartile range. Therefore, option A is the correct answer.

A special kind of graph called a box and whisker plot is used to display the distribution of groupings of numerical data. It displays the median—the average value of the numbers in your data—as well as the lowest and greatest values as well as the quartiles, which divide the data into four equally-sized groups.

The whiskers are the two lines that extend outside the box and run from the minimum to the lower quartile (the box's beginning) and from the higher quartile (the box's end) to the maximum value.

Therefore, option A is the correct answer.

Learn more about the box-and-whisker plot here:

https://brainly.com/question/11859288.

#SPJ6

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = [tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex]

a = 7 and b = 11

[tex]a^{2}[/tex] = 49

[tex]b^{2}[/tex] = 121

Plugging in the values, we will get:

[tex]c^{2}[/tex] = 49 + 121

[tex]c^{2}[/tex] = 170

c = [tex]\sqrt{170}[/tex]

To calculate the unknown angle B, we can use law of sine.

Law of sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

So,

[tex]\frac{c}{sinC}[/tex] = [tex]\frac{b}{sinB}[/tex]

[tex]\frac{\sqrt{170} }{sin90}[/tex] =  [tex]\frac{11}{sinB}[/tex]

Sin90 = 1

sinB = [tex]\frac{11}{\sqrt{170} }[/tex]

B = [tex]sin^{-1}[/tex] ([tex]\frac{11}{\sqrt{170} }[/tex])

B = 57.5°

Further explanation

Answer and explanation:

The equation y=19x+350 representing the total cost for the banquet hall based on number of people attending has both dependent and independent variables.

The independent variable is x which represents the number of people attending(each person costs $19) and therefore determines the total cost y which will be the cost of the banquet hall given number of people attending x

If we make an illustration with this equation, we could plug in a number of attendants x = 200 and then observe the total cost of the banquet hall y

If x=200

y=19x+350

y= 19×200+350

y= 3800+350

y= $4150

Therefore total cost of banquet hall if there are 200 guests at the banquet hall =$4150

The total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.

Given that,

The equation y = 19x+350 represents the relationship between the total cost,

In dollars, y, to rent a banquet hall for a party, and the number of people attending, x.

The y-intercept is 350 and represents the total cost to rent the banquet hall. The slope is 19.

We have to determine,

The cost per person attending.

According to the question,

The equation y = 19x+350 representing the total cost for the banquet hall based on the number of people attending has both dependent and independent variables.

The independent variable is x which represents the number of people attending(each person costs $19).

Therefore,

To determine the total cost y which will be the cost of the banquet hall given the number of people attending x.

Then, the total cost of the banquet hall y is,

[tex]y=19x+350\\\\y= 19\times200+350\\\\y= 3800+350\\\\y= 4150[/tex]

Hence, the total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.

To know more about Equation click the link given below.

https://brainly.com/question/24065247

Answer:

-9

Step-by-step explanation:

-18 divided by 3 is -6

(-15)-(-6) is -9

Answer:

13778.94

Step-by-step explanation:

did it on my calculator

5.25 + 13

= 18.25

Xavier rode his bicycle for a total of 18.25mi in one week.

Answer: 18

Step-by-step explanation: hope this helps!

Answer:

6

Step-by-step explanation:

There are three colors. Divide three into 36 to get 12. Meaning that there are 12 green, 12 blue, and 12 red. She split the red markers into 2 equal group. Take 12 and divide that by 2, giving you 6.

Answer:

x=17.5 or 18,y=12.5,or 13

Step-by-step explanation:

20-15 = 5    

5÷2 = 2.5

15+2.5 = 17.5

15-2.5=12.5

Answer:

[tex]\huge\boxed{15 \pi \ \text{or} \approx 47.1 \ \text{in.}}[/tex]

Step-by-step explanation:

We can note a couple of relationships in this circle.

The arc length will be a fraction of the circumference. It will be the same fraction of the circumference that the central angle is to the entire circle.

First step: Find the circumference of the circle.

The circumference of any circle can be defined by the formula [tex]2 \pi r[/tex], where r is the radius of the circle. The radius is given to us, 30 in. We can now substitute that into the formula.

So our circumference is 60π.

Second Step: Find the ratio of the central angle of the arc to the total circle degrees

We know that the total amount of degrees in a circle is 360°. Therefore, we can set up a proportion to find the ratio between the central angle (90°) and the total circle measurement.

[tex]\frac{90}{360}[/tex]

Third Step: Equal out the two proportions and solve for the missing arc length

Now that we have our base proportion ([tex]\frac{90}{360}[/tex]), we can turn 60π into a proportion as well, leaving 60π as the denominator so we can solve for the arc length.

[tex]\frac{x}{60 \pi} = \frac{90}{360}[/tex]

We can now solve for x by cross multiplying.

Hope this helped!

Answer:

The slope is undefined and there is no y- intercept

Step-by-step explanation:

The line is equivelent to x=5

This is a vertical line so the slope is undefined and there is no y- intercept

Answer:

Slope: 0

Y-intercept: 5

Step-by-step explanation:

First, you need to move the equation into slope-intercept form.

Divide both sides by 3.

x = 5

Since there is no number to the right of the y - intercept, we just assume that the slope is 0.

Please mark me Brainliest, I need it to move onto the next level. <3

Answer:

McDonald'sssssssssssssss

20 students went on a field trip and 5 did not.