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sattari [20]
3 years ago
13

At a grocery store, Candy buys 2 cantaloupes at "x" dollars each and 1 watermelon at "y" dollars. Her total bill is $9. Chip goe

s to the same grocery store and buys 1 cantaloupe at "x" dollars and 1 watermelon at "y" dollars. His total bill is $6.
Write and solve a system of linear equations by graphing to find the cost "x" of a cantaloupe and the cost "y" of a watermelon.
#mathnextperiod
Mathematics
2 answers:
asambeis [7]3 years ago
6 0
9 = 2x + y
6 = x + y
are the equations
Masja [62]3 years ago
6 0
2x + y = 9
x + y = 6
To graph, rewrite in y=mx+b form
y = -2x + 9 (slope -2, y-intercept 9)
y = -x + 6 (slope -1, y-intercept 6)

Once you graph you will see that the point of intersection is (3,3).
The cantaloupe costs $3 and the watermelon costs $3.
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A) Write 600 as the product of prime factors.<br> Give your answer in index form.
dlinn [17]

Answer:

3 × 5 × 5 × 2 × 2 × 2

Step-by-step explanation:

Make a factor tree.

But let me explain the above to prove it's correct.

3 × 5 = 15

15 × 5 = 75

75 × 2 = 150

150 × 2 = 300

300 × 2 = 600

Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>

4 0
3 years ago
Read 2 more answers
Find the probability of atleast three successes in six trials of a binomial experiment in which the probability of success is 50
yan [13]

The binomial cumulative probability with p=0.5 for 3+ successes is as follows:

P(3+)=\sum_{k=3}^6 {{6}\choose{k}}p^k(1-p)^{6-k}

for p=0.5 (50% success rate) it becomes:

P(3+)=\sum_{k=3}^6 {{6}\choose{k}}0.5^6=\frac{21}{32}=0.65625

the probability is 0.65625, or about 66%


7 0
3 years ago
Find the value of x.<br> 95°<br> (7x - 4)^<br> (3x + 23)<br> (9x - 6)<br> ASAP PLEASE
maria [59]

Answer:

We'd need more information like the relationship between those equations.

Step-by-step explanation:

4 0
3 years ago
Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct
Nana76 [90]

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

a\neq 0

The roots of this equation can be found using the quadratic formula, which is given by:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

4 0
3 years ago
Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2
qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

cos \theta = \frac{h}{L}

Substituting figures, we have:

cos(23) = \frac{h}{4}

Let's make h subject of the formula.

h = 4cos(23) = 3.68

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

3 0
3 years ago
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