Find the midpoint of the segment having the given endpoints.
(8,4) and (-5,-9)

Using the given ratio we can see that:

a) 78 sweets.

b) 52 swets.

c) A total number of 169

We know that the sweets are divided in the ratio 6:4:3 for Toby, Sam and Ben.

The sum of the values in the ratio gives:

6 + 4 + 3 = 13

Then if there is a total of S sweets, we can see that:

Toby gets (6/13)*S

Sam gets (4/13)*S

Ben gets (3/13)*S

We know that Ben received 39, then:

(3/13)*S = 39

S = (39)*(13/3)

S =169

There are 169 in total, and now we can see that:

Toby gets (6/13)*169 = 78

Sam gets (4/13)*169 = 52

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Answer:

3b-1 = b-3

2b = 4

b = 2

Step-by-step explanation:

Answer:

4 inches by 3 inches. It should actually be 10 inches by 6 but its not on there.

Answer:

17.1500000000000000000000000000000

Answer:

17 3/20

Step-by-step explanation:

49/10 × 7/2 = 49×7

_____ = 343/20 = 17 3/20

10 × 2

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

Answer:

Is it ratios? sorry if this doesnt help but is it 8/12

Step-by-step explanation:

Step-by-step explanation:

T-8=12

simplify:

you have to get unknown values on one side and known numbers on another side.

+ you need to know that when we move anything to another side of =, it changes sign.

in our case we have to leave T in right side and move -8 on left side. as I said it changes sign when we move it to other side, so you will have T=12+8 and not T=12-8...

so let's continue:

T-8=12

T=12+8

T=20

Answer:

\(x = 22\)

Step-by-step explanation:

\(x - 11 = 11 \\ x = 11 + 11 \\ x = 22\)

Answer:

I HOPE IT WILL HELP YOU. ...

Answer:

6¼ in

Step-by-step explanation:

¾ = 0.75

25 mi ÷ 3 mi = 8.333

8.333 * 0.75 in = 6.25 in = 6¼ in

Answer:

Ms. Rangtonsmith will get $30 after raise

Step-by-step explanation:

Current salary = $25

raise = 1/5 of current salary

substituting current salary with $25

raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5

Thus, raise is $5

total salary after raise will be sum of current salary and raise

total salary after raise = $25 + $5 = $30

Thus, Ms. Rangtonsmith will get $30 after raise

The values of the system using elimination method is,

x = 4, y = 3 and z = -1.

Elimination method:

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

Given,

The given system of equations,

-4x + 6y - 2z = 4 -----------------(1)

-2x - 6y - 2z = -24 --------------(2)

x + 6y + z = 21 --------------------(3)

Here we need to solve this one by using elimination or substitution method.

Here we use the elimination method to solve this,

For that, first we have to add the equations (1) and (2),

Then we get,

=> (-4x + 6y - 2z) + (-2x - 6y -2z) = 4 + (-24)

=> -6x - 4z = -20 -------------------(4)

Now we have to add the equation (2) and (3),

Then we get,

=> ( -2x - 6y - 2z) + ( x + 6y + z) = -24 + 21

=> -x -z = -3 -------------------(5)

Now we have to multiply 6 with equation(5),

Then,

=> 6 x (-x - z) = 6 x -3

=> -6x -6z = -18 --------------------(6)

Now subtract equation (6) from equation (4),

Then,

=> (-6x - 6z) - (-6x - 4z) = -18 - (-20)

=> -6x -6z + 6x + 4z = -18 + 20

=> -2z = 2

=> z = -1

Apply the value of z on the equation (5),

=> -x - (-1) = -3

=> -x + 1 = -3

=> -x = -4

=> x = 4

Now apply the value of x and z on the equation (3),

Then we get,

=> 4 + 6y + (-1) = 21

=> 4 - 1 + 6y = 21

=> 3 + 6y = 21

=> 6y = 18

=> y = 3

Therefore, the solutions are x = 4 , y = 3 and z = -1.

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The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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The measure in radians for the central angle is approximately 0.7 radians.

To find the measure in radians for the central angle of a circle, we can use the formula:

θ = s / r

where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.

In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.

Plugging these values into the formula, we have:

θ = 5.6 cm / 8 cm

Simplifying the expression:

θ = 0.7

We may use the following formula to get the centre angle of a circle's measurement in radians:

= s / r

s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.

The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.

When these values are plugged into the formula, we get:

θ = 5.6 cm / 8 cm

Condensing the phrase:

θ = 0.7

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Answer:

We want a line that passes through the point (4, 7/2)

and we have no other information of this line, so we can not fully find it, but we can find a general line.

We know that a line can be written as:

y = a*x + b.

Now we want that, when x = 4, we must have y = 7/2.

7/2 = a*4 + b

b = -a*4 + 7/2

Then we can write this line as:

y = a*x - a*4 + 7/2.

Where a can take any value, and it is the slope of our line.

Answer:

A

Step-by-step explanation:

Answer:

A. 1 over z raised to the twelfth power

Step-by-step explanation:

Hope this helps! :))
Please tell me if this is incorrect

Answer:

1 over z raised to the twelfth power

Step-by-step explanation:

Based on an equation, the amount that Isabel spent on bread was $2.42.

To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.

The amount Isabel spent on vegetables = $15.91

The amount she spent on fruits = $11.22

Let the amount she spent on bread = x

The total amount she went with = $30 (3 x $10)

The change she got after giving the cashier $30 = $0.45

The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)

x = $2.42 ($29.55 - $15.91 - $11.22)

Check:

Vegetables = $15.91

Fruits = $11.22

Bread = $2.42

Total expenses = $29.55

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Answer:

-2 1/3

Step-by-step explanation:

(1.4) (2 1/3 - 4)

= (1.4) (7/3 - 4)

= (1.4) (-5/3)

= 1.4 * -5/3

= -7/3

Now, let's convert -7/3 into a mixed fraction.

= -2 1/3

The two mathematical symbols that William Oughtred introduced are "×" for multiplication and "::" for proportion.

Given is a statement about William Oughtred.

William Oughtred is most famous not for his mathematical discoveries, but rather for introducing two mathematical symbols.

We have to find those symbols.

William Oughtred is actually an English priest who basically teaches the students in mathematics subject.

He did invent other famous things like slide rule.

But the most famous invention of him is two mathematical symbols which are "×" for multiplication and "::" for proportion which are still widely used symbols.

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Answer:

X= 110/7 or 15.7 or rounded to 16

Answer:

x=15.714285

Step-by-step explanation:

-0.35x=-3-2.5

-0.35x=-5.5

-0.35/-0.35= -5.5/0.35

X=-5.5/-0.35

X=15.714285

Answer:

4.25

Step-by-step explanation:

Step 1: 23-(17-12)²+6.25

Step 2: 23-5²+6.25

Step 3: 23-25+6.25

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer: -1

Step-by-step explanation:

-4-0=-4

2-(-2=4

-4/4=-1

The equation of the line in slope-intercept form is: y = -25x + 100. A negative slope indicates that the battery percentage is decreasing over time.

Part A:

To write the equation of a line in slope-intercept form, we need to know the slope (m) and y-intercept (b) of the line.

From the given information, we know that the y-intercept is 100 and the x-intercept is 4. This means that after 4 hours, the battery percentage is 0%.

To find the slope, we can use the slope formula:

m = (y2 - y1)/(x2 - x1)

Choosing two points on the line, one being the y-intercept (0,100) and the other being the x-intercept (4,0), we can plug in the values:

m = (0 - 100)/(4 - 0) = -25

Therefore, the equation of the line in slope-intercept form is:

y = mx + b

y = -25x + 100

Part B:

To determine the equation, we used the fact that the y-intercept was 100 and the x-intercept was 4. We then found the slope of the line using the slope formula with two points on the line. Plugging the slope and y-intercept into the slope-intercept form equation y = mx + b gives us the final equation.

Part C:

The slope of the line is -25, which means that for every hour that passes, the battery percentage decreases by 25%. Therefore, the slope represents the rate of change of the battery percentage with respect to time. A negative slope indicates that the battery percentage is decreasing over time.

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The term (x - 1) is a factor of both of the given polynomials as;

x² + x - 2

2x² - 5x + 3

Given that (x - a) is a factor of a polynomial p(x), then x = a is a zero of the polynomial, which means that:

p(a) =0.

When x - 1 is a factor of any of the given polynomials, then we need to evaluate them in x = 1 and check if we get zero.

a) x² + x - 2

Evaluate it in x = 1;

1² + 1 - 2 = 0

so (x - 1) is a factor.

b) 2x² - 5x + 3

Evaluating this in x = 1;

2*1² - 5*1 + 3

2 - 5 + 3 = 0

(x - 1) is a factor.

Therefore, the correct option is the last one, it is a factor of both polynomials.

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The expression 5√(2) can be used to rationalize the fraction 10√(2).

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

To rationalize the fraction 10√(2), we need to eliminate the radical from the denominator by multiplying both the numerator and denominator by a suitable expression that will make the denominator a rational number.

One expression that can be used to rationalize the denominator is multiplying both the numerator and denominator by √(2):

10/√(2) * √(2)/√(2) = 10√(2)/2 = 5√(2)

Therefore, the expression 5√(2) can be used to rationalize the fraction 10/√(2).

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Complete question:

Which of the following expressions can be used to rationalize the fraction below 10/√2.

Answer:

Can someone please help me on my last question

Sorry bro I’m desperate

Step-by-step explanation:

Answer:

first one a square , secound a rectangle , third a quadrilateral, fourth a rhombus, fifth is p

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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