PLS HELP 50PTS<br><br><br> SOLVE FOR X

Evaluate 11 to the 2nd power

lions [1.4K]

121)

11 times itself.

6 0

3 years ago

Please help me put them in correct place

REY [17]

The inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

<h3>Writing linear inequalities </h3>

From the question, we are to match the statements with the corresponding inequalities

Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall

x ≤ 100 -5

x ≤ 95

Temperature(x) is greater than the boiling point of water (100 °C)

x > 100

John buys x chocolates worth $5 each but he has only $100 in his pocket

5x ≤ 100

Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day

x ≤ 100

and

x ≥ 1/5 × 100

x ≥ 20 ≡ 20 ≤ x

∴ 20 ≤ x ≤100

Hence, the inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

Learn more on Writing inequalities here: brainly.com/question/1447311

#SPJ1

5 0

2 years ago

15 31/40 to the nearest whole number

Dahasolnce [82]

Answer:

16

Step-by-step explanation:

Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D

5 0

3 years ago

Assume that there are 22 frozen dinners: 12 pasta, 6 chicken, and 4 seafood dinners. The student selects 5 of them. What is the

Stells [14]

Since, there are 22 frozen dinners. Out of these, 22 are pasta, 6 chicken and 4 seafood dinners.

We have to determine the probability that at least 2 of the dinners selected are pasta dinner. At least 2 of the dinners selected are pasta, it means that there can be 2 pasta, 3 , 4 or 5.

So, Probability with at least 2 of dinners

= $\frac{(^{12}C_{2} \times ^{10}C_{3})+ (^{12}C_{3} \times ^{10}C_{2})+(^{12}C_{4} \times ^{10}C_{1})+(^{12}C_{5})}{^{22}C_{5}}$

We will use the combination formula, which states $^nC_r = \frac{n!}{r! (n-r)!}$

= $\frac{(66 \times 120)+(220 \times 45)+(495 \times 10)+(792)}{26334}$

= $\frac{7920+9900+4950+792}{26334}$

= $\frac{23562}{26334}$

= 0.894

=0.90

Therefore, the probability that at least 2 of the dinners selected are pasta is 0.90

3 0

3 years ago

Find the fourth point of a parallelogram given the first three (more than one correct answer is possible): (0,6), (5, -1) and (3

inysia [295]

Answer:

The fourth point of the parallelogram is one point among (-2,2), (2,10) and (8,-12).

Step-by-step explanation:

Given information: The first three vertices of parallelogram are (0,6), (5, -1) and (3,-5).

Let fourth point of the parallelogram is (a,b).

Diagonals of a parallelogram bisect each other. It means midpoint of both diagonals are same.

Midpoint formula:

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Case 1: If the point (0,6), (5, -1) and (3,-5) are consecutive, then pairs of opposite vertices are (0,6) and (3,-5), (5,-1) and (a,b).

$(\frac{0+3}{2},\frac{6-5}{2})=(\frac{5+a}{2},\frac{-1+b}{2})$

$(\frac{3}{2},\frac{1}{2})=(\frac{5+a}{2},\frac{-1+b}{2})$

On comparing both sides, we get

$\frac{3}{2}=\frac{5+a}{2}$

$3=5+a$

$a=-2$

$\frac{1}{2}=\frac{-1+b}{2}$

$1=-1+b$

$b=2$

It means the fourth point of the parallelogram is (-2,2).

Case 2: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (0,6) and (5,-1), (3,-5) and (a,b).

$(\frac{0+5}{2},\frac{6-1}{2})=(\frac{3+a}{2},\frac{-5+b}{2})$

$(\frac{5}{2},\frac{5}{2})=(\frac{3+a}{2},\frac{-5+b}{2})$

On comparing both sides, we get

$\frac{5}{2}=\frac{3+a}{2}$

$5=3+a$

$a=2$

$\frac{5}{2}=\frac{-5+b}{2}$

$5=-5+b$

$b=10$

It means the fourth point of the parallelogram is (2,10).

Case 3: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (5,-1) and (3,-5), (0,6) and (a,b).

$(\frac{5+3}{2},\frac{-1-5}{2})=(\frac{0+a}{2},\frac{6+b}{2})$

$(\frac{8}{2},\frac{-6}{2})=(\frac{a}{2},\frac{6+b}{2})$

On comparing both sides, we get

$\frac{8}{2}=\frac{a}{2}$

$8=a$

$\frac{-6}{2}=\frac{6+b}{2}$

$-6=6+b$

$b=-12$

It means the fourth point of the parallelogram is (8,-12).

5 0

4 years ago

PLS HELP 50PTS SOLVE FOR X