Which number sentences show how to solve the problem?Luis bought 5 bags of red balloons for the party. Ruby bought 8 bags of mixed-color balloons. Each bag contains 35 balloons. How many balloons did Luis and Ruby buy altogether?

Choose all answers that are correct.

A.
5 + 8 = 13 and 13 × 35 = 455

B.
5 × 8 = 40 and 40 + 35 = 75

C.
5 × 35 = 175, 8 × 35 = 280, and 175 + 280 = 455

D.
45 × 15 = 675 and 675 ÷ 9 = 75

im so confused

Answers

Answer 1

Answer:

a. 5 + 8 = 13 and 13 × 35 = 455 &

c. 5 × 35 = 175, 8 × 35 = 280, and 175 + 280 = 455

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If an object is dropped from a height of 144 feet, the function h(t) = -16t2 + 144 gives the height of the object after t seconds. When will the object hit the ground? A) 9 secondsB) 6 secondsC) 1.5 secondsD) 3 seconds
True or False: You can draw a quadrilateral with no parallel lines and at least one right angle.
The nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence . NEED HELP
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Write the equation of the line, given the y- and x-intercepts. x-intercept (–6, 0), y-intercept (0, –8)

Answers

neverminding for a second that they're intercepts at all, they're points on the line, so

$\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-8})\n\n\n slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-0}{0-(-6)}\implies \cfrac{-8-0}{0+6}\implies \cfrac{-8}{6}\implies -\cfrac{4}{3}\n\n\n \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\n\cline{1-1}\ny-y_1=m(x-x_1)\n\n\cline{1-1}\end{array}\implies y-0=-\cfrac{4}{3}[x-(-6)]\n\n\ny=-\cfrac{4}{3}(x+6)\implies y=-\cfrac{4}{3}x-8$

What is 24% of 36
please tell me

Answers

Answer:

8.64

Step-by-step explanation:

Hope this helps <3

Answer: 8.64

Explanation: 0.24 x 36 = 8.64
Therefore 24% of 36 is 8.64
Hope this helps :)

A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius?a. (-7, -1), 36 units
b. (7, 1), 36 units
c. (7, 1), 6 units
d. (-7, -1), 6 units

Answers

Answer:

option d is correct.

center = (-7, -1)

r = 6

Step-by-step explanation:

The general equation of the circle is given by;

$(x-h)^2+(y-k)^2 = r^2$

where;

(h, k) is the center of the circle

r is the radius of the circle respectively.

As per the statement:

A circle is described by the equation $x^2 + y^2 + 14x + 2y + 14 = 0$

then;

$(x^2+14x)+(y^2 + 2y) + 14 = 0$

Using the completing the square:

$(x^2+14x+7^2-7^2)+(y^2 + 2y+1^2-1^2) + 14 = 0$

⇒ $(x+7)^2 - 49 + (y+1)^2 - 1 + 14 = 0$

⇒ $(x+7)^2+(y+1)^2 -36 = 0$

Add 36 to both sides we have;

$(x+7)^2+(y+1)^2=36$

On comparing with the general equation of circle:

we get;

h = -7 , k = -1 and $r^2 = 36$

⇒ $r = 6$

Therefore, the coordinate of the center of the circle is (-7, -1) and length of the radius of the circle is 6

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$x^2+y^2+14x+2y+14=0 \nx^2+14x+49+y^2+2y+1+14-49-1=0 \n(x+7)^2+(y+1)^2+14-49-1=0 \n(x+7)^2+(y+1)^2-36=0 \n(x+7)^2+(y+1)^2=36 \n(x-(-7))^2+(y-(-1))^2=6^2 \n \Downarrow \nh=-7 \nk=-1 \nr=6$

The center is (-7,-1), the length of the radius is 6 units.
The answer is D.

a car travels 10 kilometers per hour faster than a truck .the car goes 600 kilometers in 5 hours less time than it takes thetruck to travel the same distance.find the rate of each vehicle in kilometers per hour

Answers

Answer:

60 km/h

Step-by-step explanation:

Your welcome :)

Whats the integral of 1/X

Answers

$F(x) = \int\limits (1)/(x) dx =\int\limits x^-^1 dx \n f(x) = \int\limits x^-^1dx = (1)/(0) X^0$

$= f(x) = \int\limits X^-^1dx = In|x|$

$\left(\ln(|x|)\right)'=\frac{1}x$ hence $\int\frac{1}xdx=\ln |x|$

The area of a right triangle is 270 m². The height of the right triangle is 15 m. What is the length of the hypotenuse of the right triangle?

Answers

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2
b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

Answer: