How can I use the number line to find the sum: −1 12 + (−1 12)

Answer:

n = 50

Step-by-step explanation:

Let a be the first term and d be the common difference.

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.

[tex]a_n=a+(n-1)d[/tex]

According to the given condition,

[tex]a_2=3\\\\a_{10}=-13[/tex]

or

[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]

Subtract equation (1) from (2).

a+9d-(a+d) = -13-3

8d = -16

d = -2

Put the value of d in equation (1).

a+(-2) = 3

a = 3+2

a = 5

Now,

[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]

So, 50th term has the value of -93.

Answer:

x = 3 and y = 1

Step-by-step explanation:

Give system of equations are :

8x-9y=15 ...(1)

−x+4y=1 ...(2)

Multiply equation (2) by 8.

−8x+32y=8 ..(3)

Add equation (1) and (3).

8x-9y -8x + 32y = 15+8

23y = 23

y = 1

Put the value of y in equation (2).

−x+4(1)=1

-x = -4+1

x = 3

Hence, the values of x and y are 3 and 1.

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.

Answer:

9

Step-by-step explanation:9x5

Answer:

c is the correct answer baby

Step-by-step explanation:

How was the government able to make children go to residential school?

Answer:

Step-by-step explanation:

2x + 4 = 2(x + 2)

[tex]Area = \frac{1}{2}*b*h\\\\=\frac{1}{2}*(2x-1)(2x + 4)\\\\\\= \frac{1}{2}*(2x - 1)*2*(x + 2)\\\\= (2x -1)(x+ 2)[/tex]

= 2x *x + 2x* 2  + x*(-1) + 2*(-1)

= 2x² + 4x - x - 2

= 2x² + 3x - 2

Answer: 8a

Step-by-step explanation:

Step-by-step explanation:

I can only think of one way to simplify this and it is by taking out the greatest common factor: a². Or by multiplying the two values together so it's only one value.

a²(3*5)

a²(15)

Or...

(3a² * 5a²)

(15a⁴)

(this one is a⁴ because a variable with a power multiplied by a variable with a power only adds the powers together)

[tex]\boxed{\color{hotpink}\tt18.75\%} [/tex] of the drink is fruit juice

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

[tex] =\tt 650 + 150[/tex]

[tex] \color{plum}=\tt 800 \: ml[/tex]

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

[tex] = \tt\frac{x}{100} \times 800 = 150[/tex]

[tex] = \tt \frac{x \times 800}{100} = 150[/tex]

[tex] =\tt \frac{800x}{100} = 150[/tex]

[tex] =\tt 8x = 150[/tex]

[tex] =\tt x = \frac{150}{8} [/tex]

[tex]\hookrightarrow\color{plum} \bold{x = 18.75\%}[/tex]

Then, the percentage of water in the drink :

[tex] = \tt100 - 18.75[/tex]

[tex] \color{plum}= \tt81.25\%[/tex]

Thus, the percentage of water in the drink = 81.25%

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

Answer:

B

Step-by-step explanation:

Of is multiplication, so correct answer is B

Answer:

b, and d

Step-by-step explanation:

5% * 35 = 0.05 * 35 = 5/100 * 35.

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

Answer:

how did you get the graph on here

Answer:

It would be 6.05m tall.

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

the opposite and symmetrical of the given number is 2

Step-by-step explanation:

The computation of an opposite and symmetrical of the given number is shown below:

81:3^4 + 3^0

81:81+1

1 + 1

= 2

Hence, the opposite and symmetrical of the given number is 2

Answer:

x=29

Step-by-step explanation:

We know for a fact that in a square:

- All of its angles have equal measure (90 degrees)

(e.g. Measure of Angle CAT, measure of Angle CST = 90 degrees)

Now that we know the facts, let's try to find x.

Now since we know that all the angles are equivalent to 90 degrees, we can say that Measurement of Angle SCA is 90 degrees. So:

[tex]90=3x+3[/tex]

Next, we'll simply just isolate the x:

[tex]90=3x+3\\90-3=3x+3-3\\87=3x\\\frac{87=3x}{3} \\29 = x[/tex]

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

Learn more about unit conversion here:

https://brainly.com/question/13899873

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Answer:

what the question , so I can help u

Answer:

sure! but which one? i dont see anything

Step-by-step explanation:

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

To know more about function follow

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Answer:

A 12-kg load stretches an elastic the belt 0.03m

Step-by-step explanation:

we know A 8-kg load stretches an elastic belt 0.02 m.

=> 0.02 / 8 = 0.0025

so A 1-kg load can stretch an elastic belt 0.02 m.

=> 12 * 0.0025 = 0.03 m

A 12-kg load stretches an elastic the belt 0.03m

Answer:

a

Step-by-step explanation:

Problem 1

There's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).

===============================================

Problem 2

Other names for zeros are:

The term "root" is also applicable here.

===============================================

Problem 3

We set each piece equal to 0 and solve for x. This is the zero product property

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

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

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

The two x intercepts are located at (2,0) and (-4,0)

Answer: Choice C

===============================================

Problem 4

In the last problem, we found the two roots were x = 2 and x = -4

I'll let p = 2 and q = -4.

Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1

This is the x coordinate of the vertex. So h = -1

Plug this into the function to find k, which is the y coordinate of the vertex.

k = f(h)

k = f(-1)

k = (-1-2)(-1+4)

k = (-3)(3)

k = -9

The vertex is located at (h,k) = (-1, -9)

This is another way of saying the vertex is when x = -1 and y = -9

Answer: Choice C

Answer:

$8 for 3 pounds

cost for p pounds: 3.50p - 2.50

Step-by-step explanation:

Cost of 3 pounds:

Original cost = Cost per pound x 3

= 3.50 x 3

= 10.50

Coupon = 2.50

Final cost = Original cost - Coupon

= 10.50 - 2.50

= $8

Cost of p pounds:

Original cost = Cost per pound x p

= 3.50 x p

= 3.50p

Coupon = 2.50

Final Cost = Original Cost - Coupon

= 3.50p - 2.50

Answer:

43%

Step-by-step explanation:

(40.76 - 28.50) / 28.5 = .43 or 43%

Answer:

The median is 6. The Mean Absolute Deviation is 1.88. The range is 10. I believe the IQR is 5.

Step-by-step explanation:

the median is just the number that falls in the center of a data set. The Mean Absolute Deviation is the distance of the data points from the mean. So, find the sum of the differences of each data point from the mean and divide it by the number of data points. Range is the difference between the smallest and largest values in a data set. The interquartile range is the middle of the data.  it is a measure of how widely the middle half of the data is spread around the median.

Answer:

the median is 6, range is 10, the iqr is 6 and the MAD is 1.9378698224852

Step-by-step explanation:

Range

10 - 0 = 10

IQR

median/2

6/2=3

6+3=9 6-3=3

9-3=6

Median

put numbers in ascending order

04445555555566678888899101010

find centre number

6

Answer:

-14 or -28

Step-by-step explanation:

2x-8=-16

4x-3=-12

-16-12=28

-16-(-12)=-14

Answer:

I'm not so sure but I think it's 6 or 9i