On which of the following lines does the point (7, 1) lie?

A.) y= 5x + 4
B.) y= -x + 8
C.) y= x- 10
D.) y= -4x + 3

Answer:

114 cm∧3

Step-by-step explanation:

V= area of base x height

1) calculate the area of the base with formula: 1/2 bh

   B=1/2 (8) (6)=24 then Multiply to get the area: Bh

2) (24) (6)= 144cm∧3

hope this helps.

Answer:

3 mph

Step-by-step explanation:

Two cyclists leave town at the same time on the same road going in  the same direction.

Cyclist A is going 6 mph faster than cyclist B

Let speed of cyclist B be x mph

Speed of cyclist A be (x+6) mph

Both cyclist leave town at the same time and traveled 8 hours.  

After 8 hours cyclist A has traveled 3 times the distance as cyclist B

Therefore, 8(x+6) = 3(8x)

8x + 48 = 24x

24x - 8x = 48

       16x = 48

          x = 3 mph

Hence, The speed of cyclist B was 3 mph

In 100g of 15% sugar syrup, there is 15g of sugar.

Sugar syrup is a thick viscous liquid that mostly contains water and dissolved sugar in it. therefore, a 20% sugar syrup means having a 20:80 ratio of sugar and water in a unit of sugar syrup.

100g of sugar syrup 15% sugar,

Now, 15% of sugar means having a 15:85 ratio of sugar and water in 100g of sugar syrup. Let the sugar in 100g of sugar syrup be x. so, the water in the syrup is (100-x), therefore,

[tex]\bold{\dfrac{15}{85} = \dfrac{sugar}{water}}[/tex]

Substituing the values we get,

[tex]\dfrac{15}{85} = \dfrac{x}{100-x}\\\\15\times(100-x) = 85x\\1500 - 15x = 85x\\1500 = 85x +15x\\1500 = 100 x\\\\x = \dfrac{1500}{100}\\\\x = 15[/tex]

Hence, In 100g of 15% sugar syrup, there is 15g of sugar.

Learn more about sugar syrup:

https://brainly.com/question/7459847

Answer: Quadrilateral fxyh is a trapezoid

Step-by-step explanation: Hi, the correct answer is trapezoid.

A trapezoid is a Quadrilateral ( a polygon with four sides) with a pair of opposite sides parallel. These parallel sides are called the bases of the trapezoid, and the other non-parallel sides are known as the "legs" of the trapezoid.

Feel free to ask for more if it´s necessary or if you did not understand something.

We have been given that Daniel's weekly allowance is $10 and we have to figure out his monthly fixed and variable expenses. To tackle this problem we have to figure out what are fixed expenses and what are variable expenses.

Fixed expenses are not going to vary as they are fixed. We have been given that Daniel has  swimming class once a week and pays a $1.50 pool fee. Daniel is also saving for a new swimming trunks  and sets aside $2.50 per week.

Variables expenses vary in a given range. We have been given that Daniel  sometimes goes out to eat with friends and spends $5 to $10. Daniel goes to a swim meet in another town and spends $3 to $9 on bus fare.

Now let us find monthly fixed  expenses first. [tex]1.50+2.50[/tex] are his weekly fixed expenses. To figure out monthly expenses we will multiply weekly expenses by  4 because a month has four weeks.

Monthly fixed expenses=[tex]4\times (1.50+2.50)=4\times 4=16[/tex]$

Now we will figure out monthly variable expenses. We have been given that Daniel has spent $8.50 for lunch and gone for two swim meets costing $7 each.

Monthly variable expenses=[tex]8.50+2\times 7=8.50+14=22.50[/tex]$

Answer:no mode

Step-by-step explanation:

Answer:

It's 0.088.

Step-by-step explanation:

So the males who carpool is 9 right? Well relative frequency is the frequency divided by the total. So we must divide 9 by 102.

9÷102 = 0.088

Answer:

the answer is c

Step-by-step explanation:

The 1258 cm³ is equal to 1.258 liters.

To convert 1258 cm³ to liters, you can use the fact that 1 liter is equal to 1000 cm³. Therefore, the conversion from cubic centimeters to liters is straightforward.

Identify the given volume: 1258 cm³.

Know the conversion factor: 1 liter = 1000 cm³.

Perform the conversion:

[tex]1258 \ cm^3 \times \left( \frac{1 \ liter}{1000 \ cm^3} \right) = 1.258 \ liters[/tex]

Answer:

qwerty

Step-by-step explanation:

Answer:

Option A - 2.2

Step-by-step explanation:

Given : Data  7, 2, 8, 5, 9, 9, 5, 6, 8, 1.

To find : What is the mean absolute deviation for these data?

Solution :

Step 1 - Calculate the mean of the data,

[tex]M=\frac{\sum x_n}{n}[/tex]

[tex]M=\frac{7+2+8+5+9 +9+5+6+8+1}{10}[/tex]

[tex]M=\frac{60}{10}[/tex]

[tex]M=6[/tex]

The mean is 6.

Step 2 - Calculate the distance between each data point and the mean.

Data points     Distance from mean

 7                        |7-6| = 1

 2                        |2-6| = 4

 8                        |8-6| = 2

 5                        |5-6| = 1

 9                        |9-6| = 3

 9                        |9-6| = 3

 5                        |5-6| = 1

 6                        |6-6| = 0

 8                        |8-6| = 2

 1                        |1-6| = 5

Step 3 - Add all the terms of distance from mean

X=1+4+2+1+3+3+1+0+2+5=22

Step 4 - Apply mean absolute deviation formula,

[tex]MAD=\frac{\sum X}{n}[/tex]

[tex]MAD=\frac{22}{10}[/tex]

[tex]MAD=2.2[/tex]

Therefore, Option A is correct.

The mean absolute deviation is 2.2.

The length of the fence Matt needs is 26 ft.

To find the length of the fence, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the width of the garden is one side of the right triangle, the length of the garden is the other side, and the fence is the hypotenuse.

So, we can calculate the length of the fence as follows:

Length of the fence = √((Width)^2 + (Length)^2)

Substituting the given values, we get:

Length of the fence = √((10 ft)^2 + (24 ft)^2)

Length of the fence = √(100 ft^2 + 576 ft^2)

Length of the fence = √676 ft^2

Length of the fence = 26 ft

Final answer:

To calculate the length of fence needed for Matt's garden, the Pythagorean theorem is used, resulting in needing a fence that is 26 feet long.

Explanation:

Calculating the Fence Length Across a Rectangular Garden

Matt has a rectangular garden with dimensions of 10 feet in width and 24 feet in length. To find the length of the fence that Matt needs to build from one corner of the garden to the opposite corner, we will use the Pythagorean theorem, since the corners of the garden and the fence form a right triangle.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). The formula is c² = a² + b².

For Matt's garden, the length is 'a' = 24 ft and the width is 'b' = 10 ft. Plugging these values into the formula, we get:

c² = 24² + 10²

c² = 576 + 100

c² = 676

We then take the square root of both sides to solve for 'c':

c = √676

c = 26 ft

Therefore, Matt needs 26 feet of fence to reach from one corner of the garden to the opposite corner.

Answer:

7.1  square feet

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

In order to solve this we will need the formula that calculates the Area of a Circle. The formula is the following,

[tex]A = \pi r^{2}[/tex]

Where:

We are given the diameter of the circle in the question but based on the formula we need the radius. The radius is half of the diameter. Therefore,

[tex]r = 3ft / 2[/tex]

[tex]r = 1.5[/tex]

Now that we have the radius we can plug it into the formula to find the area of the circle.

[tex]A = \pi 1.5^{2}[/tex]

[tex]A = \pi 2.25[/tex]

[tex]A = 7.06 [/tex]

Based on the calculations above we can see that 7.1 [tex]ft^{2}[/tex] (rounded to the nearest tenth) needs to painted

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.