The coach of a lacrosse team bought ice cream cones to celebrate a victory. A single-scoop cone was $3 and a double-scoop cone was $5 The coach bought 15 cones and paid $57. A system of equations describing this situation could be written in the form below where s represents the number of single cones andd represents the number of double cones. What is the sum of A, B, C and E?​

Answer:

B. slope 1/4, y-intercept at ( 0, 5)

Step-by-step explanation:

slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4

the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)

we are given that one of the points is (x=0, y=5) so this is our y-intercept

OR

the slope intercept form equation of a line y= mx+b, where b is the y-intercept

y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5

5 = (1/4)*0 +b

5 = b

Answer:

salini -= 5 years

mother = 40years

Step-by-step explanation:

[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]

[tex]5 = x[/tex]

then you equate the values of x

Answer:

girls = 40%

boys = 60%

Step-by-step explanation:

Girls = 160

boys = 240

total students = 160+240

= 400

so,

percent of girls = (160/400)×100%

= (2/5)×100%

= 2×20%

= 40%

so,

percent of boys = 100% - 40%

= 60%

Answer:

3/2

Step-by-step explanation:

[tex]2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}[/tex]

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

So

A = Pi r**2

A = Pi 3**2

A = 9 Pi

Answer:

True

Step-by-step explanation:

We know that distance = rate * time

21 miles = 7 miles per hours * 3 hours

21 miles = 21 miles

True

Answer:

+or- sqrt(3/4)

Step-by-step explanation:

If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x

0 = (-m)^2 - 5m(-m) + 3

0 = m^2 - 5m^2 + 3

0 = -4m^2 + 3

Factorise

0 = -4(m^2 - 3/4)

0 = -4(m + sqrt(3/4))(m - sqrt(3/4))

:. m = +or- sqrt(3/4)

Answer:

The function that represents g(x) is the third choice: g(x) = (x − 4)^2 + 9

Step-by-step explanation:

The original function has been shifted 9 units up (a vertical transformation). To show a vertical transformation, all we have to do is either add or subtract at the end of the function.

To show a shift upwards, we add the value of change.

To show a shift downwards, we subtract the value of change.

In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 9 units up. Since we shifted up, we simply add 9 to the end of the function: g(x) = [tex]x^{2}[/tex] + 9

The original function has also been shifted 4 units to the right. This is a horizontal transformation. To show a horizontal transformation, we need to either add or subtract within the function (within the parenthesis).

To show a shift to the left, we add the value of change.

To show a shift to the right, we subtract the value of change.

*Notice: Moving left does NOT mean to subtract while moving right does NOT mean to add. The rules above are counterintuitive so pay attention when doing horizontal transformations.

In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 4 units to the right. Since we shifted right, we must subtract 4 units within the function/parenthesis: g(x) = [tex](x-4)^{2}[/tex]

When we combine both vertical and horizontal changes, the only equation that follows these rules is the third choice: g(x) = (x − 4)^2 + 9

Answer: C

Step-by-step explanation:

Complete question is;

Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Since the original line is;

y – 3 = (1/5) (x – 10)

This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.

Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;

y – 3 = 2(x – 10)

Answer:

-x^8+10x^3-7x^2+7x+15

Step-by-step explanation:

-7x+10x^3-7x^2-x^8+15

Standard form is from highest power to lowest power of x

-x^8+10x^3-7x^2+7x+15

Answer:

Equation #1:

[tex]y = 3x + 8[/tex]

Equation #2:

[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]

Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.

We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]

Then we can conclude that the length of DA is 6.

If you want to read more, you can see:

https://brainly.com/question/12040665

B. A parallelogram is a rectangle.

Answer:

9/50

Step-by-step explanation:

18 % have 7 rooms

18 % means 18 out of 100

18/100

Divide top and bottom by 2

9/50

Answer:

Area of triangle =1/2b×h

1/2×10×8.7

=44 square inches

Answer:

44

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

where b is the base and h is the height

A = 1/2 (10) (8.7)

A= 43.5

Rounding to the nearest whole number

A = 44

I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

Answer:

8a+4b

Step-by-step explanation:

Answer:

Answer:

the answer is to the question is b

Answer:

(-1.5,9)

Step-by-step explanation:

In second quadrant the x- component is negative where as y- component is positive

Answer:

Obtuse angles measure between 90° and 180°.

In the diagram we have:

Obtuse angles measure less than 180° but more than right angle

Here they are

Answer:

pandn

Step-by-step explanation:

jsubeuodoqok1kwnebhxhhw

emdndiiwjwkd

d

ddnjd

Answer:

a is 44 degree

Step-by-step explanation:

Answer:

I think the correct answer is F. y = 6x

We will see that the line equation is y = 6*x

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, the line passes through the points: (0, 0) and (-1/2, -3)

Then the slope is:

[tex]a = \frac{0 - (-3)}{0 - (-1/2)} = 6[/tex]

Then the line is of the form y = 6*x + b

To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:

0 = 6*0 + b

0 = b

We can conclude that the line is y = 6*x

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Answer:

The first two.

Step-by-step explanation:

See that L is 600mm MORE than W.

From there, you can note that L = W+600  

or rearrange the formula and get W= L-600

Then, see that the perimeter of a flag is 2L + 2W

(Because there are two four sides to a rectangle, 2 width, 2 length)

It must total to be 5 meters, or 5000mm

Thus,

2L + 2W = 5000

Answer:

[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]

I hope it helped U

stay safe stay happy

Answer:

-3

Step-by-step explanation:

[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + {3}^{2} - {4}^{2} [/tex]

[tex] = 4 + 9 - {4}^{2} [/tex]

[tex] = 4 + 9 - 16[/tex]

[tex] = - 3[/tex]

Answer:

area of base = pi x radius^2 = (ill use 3.14 as pi)

3.14 x 7^2 = 153.86 in^2

height = 12

circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in

surface area = perimeter of base x height (lateral area) + 2 x area of base

= 43.96 x 12 = 527.52 + 2(153.86) = 835.24

hope that answers your question

(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

Answer:

x=6

Step-by-step explanation:

Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal

x=6

Answer:

71 boxes

Step-by-step explanation:

1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)

2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)

3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.

71*12=852 70*12=840

Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.