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yawa3891 [41]
3 years ago
15

A rectangle on a coordinate plane has vertices at (7, 5), (–7, 5), (–7, –2), and (7, –2). What is the perimeter of the rectangle

?
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. Four times as many students chose Bulldog as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?



Which list of numbers is ordered from least to greatest?
A. 6 3/4,6.57,−6.53,−6 1/4
B. −6.53,−6 1/4,6.57,6 3/4
C. 6 3/4,6.57,−6 1/4,−6.53
D. −6 1/4,−6.53,6.57,6 3/4
Mathematics
1 answer:
Vinvika [58]3 years ago
3 0
1) Dimensions of rectangle are 14 and 7. Perimeter is:
    2*(14+7) = 42.

2)Let the number of students who chose Tiger be x.
Number of students who chose Bulldog is 4*x.
Number of students who chose Lion is 2*x.
7x = 273  -> x=273/7=39.
Answer is 2*x=78.

3) The answer is B).
A and C aren't answers because they start with positive and end with negative numbers and D isn't answer because -6 1/4 is greater than -6,53.
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Tom swam to the bottom of a swimming pool that was 9 feet deep and he touched the
zmey [24]

Answer:

18 I guess if he can swim straightdown and straight  up :-)

Step-by-step explanation:

9+9=18

7 0
2 years ago
Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
Read 2 more answers
Abbas is two years younger than Brad. Two years ago, the sum of their ages was the same as Brad's current age. How old are the b
Klio2033 [76]

Answer:

I believe they are younger

Step-by-step explanation:

I hope this helps

6 0
2 years ago
Simplify the expression<br> 13 (9x)
Ratling [72]

13(9x)

13 * 9x = 117x

5 0
3 years ago
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the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.​
katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

a^2+b^2=c^2

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em />(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}

Therefore, the length is 14.4 meters. Now, find the perimeter:

P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}

7 0
2 years ago
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