Hector waters his lawn if it does not rain at least 1 1/2 inches each week. It has already rained 3/8 inch this week. Which inequality represents the number of inches of rain, r, still needed so Hector does not have to water his lawn this week?A. r ≥ 1 7/8


B. r > 1 7/8


C. r ≥ 1 1/8


D. r > 1 1/8

(The fractions are mixed numbers!!!!)

Answers

Answer 1
Answer:

Answer:

the answer is C

Step-by-step explanation:

this is because he needs at least 1 1/2, it's already rained 3/8 inches, so to simplify the equation change 1 1/2 to 1 4/8 which is still equivalent to 1 1/2, then subtract 3/8 from 1 4/8 which will give you 1 1/8. now here is where it gets kind of tricky, both C and D seem to have 1 1/2, but the difference between them is the symbols > and ≥ are CRUCIAL!!!! (">" means that the number at the left is greater than the number at the right while "≥" means that the number at the left is greater than OR EQUAL TO the number at the right) so as you can see you also need to pay attention to what the text says, because it is mention quote on quote "Hector waters his lawn if it does not rain at least 1 1/2 inches each week," this means that if it's not at least (in other words the same as or more) 1 1/2 inches of rain a week, he will water his plants


Related Questions

If you change the sigh of a point y-coordinate, how will the location of thepoint change?
Vince opened a savings account and deposited $100.00 as principal. The account earns 15% interest, compounded annually. How much interest will he earn after 8 years?
Find each missing length to the nearest tenth.​
HELP! Will be giving branliest!!!!
If A= (-4 -4 1) (1 4 7) (2 3 3) and B= (2 9 -9) (8 8 -2) (4 10 1), find -4A + 8B

Pleaseeee help me with thissss pleaseeee

Answers

Answer:

Step-by-step explanation:

56. 6x = 132

      x = 22

57. 2/3 = -8x

     -24x = 2

        x = -2/24= -1/12

58. 5/11x = 55

      5x = 605

       x = 121

59. 4/5 = 10/16x

       4/5 = 5/8x

        23 = 25x

        23/25

60. 3 2/3x = 2/9

      11/9x = 2/9

      11x = 2

      x = 2/11

61. 4 4/5x = 1 1/5

      24/5x = 6/5

      24x = 6

     x = 6/24 = 1/4

Is the line through points P(–7, 0) and Q(6, –5) parallel to the line through points R(–1, –1) and S(0, –4)? Explain. - PLEASE HELP ASAP. THANKS! - answers on image

Answers

for that two lines be parallel the condition is  that  two slope be equal m1 = m2

Now you must calculate with point givens both slope , with the following formula

m=  y2-y1/ x2-x1,  for the firsts two points  P( -7,0) and Q( 6,-5)

m = -5-0/6-(-7) , m = -5/13

for the seconds points R (-1,-1) and S( 0,-4)

m = -4-(-1)/ 0-(-1) = -3/1 = -3

the lines are not parallel, m1 ≠ m2

Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Increase the sample size. Choose a 0.01 significance level instead of a 0.05 significance level.

Answers

Answer:

You need to Choose a 0.01 significance level , instead of 0.05 significance level.

Step-by-step explanation:

Consider the provided information.

It is given that type I error has been committed.

Type I error occur, if we rejected the null hypothesis even null hypothesis is true.

We reject the null hypothesis if p-value < α

Accept the null hypothesis if p-value ≥ α

According to given condition the value of α is 0.05  that means 95% chance that your assumption is correct and 5% chance that assumption is wrong.

In order to reduce the risk of this error you need to increase the significance level so that the value of α becomes lower than the p value.

lower α means you will be less likely to detect a true difference if one really exists.

Hence, you need to Choose a 0.01 significance level , instead of 0.05 significance level.

What is the right option?

Answers

C. -x + 2y = 8

Hope this helped :)

Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two polynomials. What is the sum of these x -coordinates? (If there is only one point of intersection, give the corresponding x -coordinate.)

Answers

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333

The sum of these x -coordinates is (2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\n27x^2+3x-2=0\n\left(27x^2-6x\right)+\left(9x-2\right)\n3x\left(9x-2\right)+\left(9x-2\right)\n\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\n9x=2\nx=(2)/(9)

3x+1=0\n3x=-1\nx=-(1)/(3)

The solutions are:

x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333

The sum of these x -coordinates is

(2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)

We can check our work with the graph of the two polynomials.

Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.

Answers

Answer: m=50w

Step-by-step explanation:

When you divide 900 by 18, you get 50.

Since we are trying to find the amount of minerals per worker, m is the first variable. w is the second because that is the number of workers you can get with the minerals Scarlett has.

So you would do 900÷18 to get the amount each worker is worth, which would be 50 minerals.