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Makovka662 [10]
3 years ago
6

Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 p

roblems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?
Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

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Which graph represents the function over the interval [−3,3] ?<br><br> f(x)=⌈x+1⌉
CaHeK987 [17]

Answer: The correct graph is the bottom left graph.

Step-by-step explanation:

Given function is f(x)=ceil(x+1)

To plot graph of f(x) in interval of(-3,3) :

ceil(x+1) is ceiling function

The output of ceil(x) is least integer greater than x

for example ceil(5.5)=6

For an interval of (-3,-2):

Take x=(-2.4)

x+1=(-1.4)

y=f(x)=ceil(x+1)=(-1)

Similarly,

For an interval of (-2,-1):

Take x=(-1.4)

x+1=(-0.4)

y=f(x)=ceil(x+1)=(0)

For an interval of (-1,0)

y=f(x)=1

For an interval of (0,1)

y=f(x)=2

For an interval of (1,2)

y=f(x)=3

For an interval of (2,3)

y=f(x)=4

Thus, The correct graph is the bottom left graph.

4 0
3 years ago
Solve find the value of the following expression for the given value of the variable -10w for w = -6
rusak2 [61]

Answer= 60

-10w =-10 • w, w=-6

-10•-6

60. You don’t include the negative because a negative times a negative= positive

8 0
3 years ago
How to solve this problem?
valentinak56 [21]

Very nice handwriting but the math and English are confusing.

Let's assume we're told

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2

The subscript is important.

I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2 = \sum x_i^2 - 20 \sum x_i + 9(100)

\displaystyle  \sum x_i^2=  20 \sum x_i  - 900

If 11 is the mean, the sum of the points is 9(11)=99.

\displaystyle  \sum x_i^2=  20 (99)  - 900 = 1080

Answer: 1080

6 0
3 years ago
-4(3 - 2x) + 2x = 2x4
topjm [15]

Answer:

x = 2

Step-by-step explanation:

-4(3 - 2x) + 2x = 2 x 4

-12 + 8x + 2x = 2 x 4

-12 + 8x + 2x = 8

-12 + 10x = 8

-12 + 12 + 10x = 8 + 12

10x = 20

\frac{10x}{10} = \frac{20}{10}

x = 2

4 0
3 years ago
The area of Mr. Harrison's rectangular vegtable garden can be reresented with the expression 8x + 16. Using the distrubutive Pro
ra1l [238]
I hope this helps you

7 0
3 years ago
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