the sum of two numbers is 65. the smaller number is 21 less than the larger number. what are the numbers?​

Answer:

Hello there! How are you doing? I am doing fine! I'll answer the question now.

So basically, your hunger would be satisfied with the 2 slices of 8 inches, because although one slice of 8 inches is two inches less than the 10 inch slice. But then you could add another 8 inch slice and it would make it greater and bigger than the one 10 inch slice itself. So in conclusion, the 2, 8 inch slices would be better than the 1, 10 inch slice because 16 inches is greater than 10 inches.

Hope this helped! Your welcome! I can help with other history stuff too! And byee! :)

Step-by-step explanation:

Two slices from an 8-inch pizza provide more pizza than one slice from a 10-inch pizza based on the calculation of the areas of the pizza slices. Therefore, your hunger would be better satisfied with the two pieces from the 8-inch pizza.

The subject here is a mathematical comparison of the area of different pizza sizes and the number of slices eaten. The location of a pizza can be calculated using the formula for the circle size, which is πr², where r is the radius of the pizza.

In the case of a 10-inch pizza, the radius is 5 inches (half of the diameter). So the area is π(5)² = 78.5 square inches. One slice of this pizza would be 1/8th of the total area, approximately 9.81 square inches.

For an 8-inch pizza, the radius is 4 inches. So the area is π(4)² = 50.24 square inches. Two slices of this pizza would amount to 1/4th of the total area, approximately 12.56 square inches.

So, when it comes to fulfilling your hunger at lunch, two slices of an 8-inch pizza would be more satisfying as it offers more pizza than one slice of a 10-inch pizza.

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I’m assuming it’s 15

Answer: 30

Step-by-step explanation: First of all, you need to know that the angle at hand is a right angle which measures up to 90 degrees. Knowing this, subtracting 90-30 will give you the result of 60 which is the measure of the unknown angle. Now, you know that 60=2x, so divide both sides by 2 and you get 30=x.

Also, this isn't part of the answer, but can you tell me how you added the pic?

all real numbers such that y is less than or equal to 4

ANSWER

all real numbers less than or equal to 4.

EXPLANATION

The given function is

[tex]f(x) = - (x + 5)(x + 1)[/tex]

Expand

[tex]f(x) = - ( {x}^{2} + x + 5x + 5)[/tex]

[tex]f(x) = - ( {x}^{2} + 6x + 5)[/tex]

[tex]f(x) = - {x}^{2} - 6x - 5[/tex]

a=-1,b=-6,c=-5

The x-value of the vertex is given by

a=-1,b=-6,c=-5

[tex]x = \frac{ - b}{2a} [/tex]

[tex]x = - \frac{ - 6}{2( - 1)} = - 3[/tex]

The y-value of the vertex is

[tex]f( - 3) = - ( - 3 + 5)( - 3 + 1)[/tex]

[tex]f( - 3) = - ( 2)( - 2) = 4[/tex]

Since a=-1, the function opens downwards.

The highest value is the y-value of the vertex which is 4.

Therefore the range is all real numbers less than or equal to 4.

The correct choice is A.

This is very spread out just to show properly but you could get it smaller haha

In this algebra problem, we created two equations from the problem and solved them simultaneously, finding that Darlene burns 15 calories per minute jogging and 10 calories per minute cycling.

This question is about working out two equations using two variables, a classic application in

algebra

. Let's call the calories burned per minute jogging as

J

, and the calories burned per minute cycling as

C

. From the information given in the question, we know that:

These equations can be solved simultaneously. To make things easier, let's multiply the second equation by 2, which gives us:

By subtracting equation 1 from this, we get:

30C = 300

, simplifying this, we find that

C = 10 calories per minute for cycling

. Substitute C=10 into the first equation, we get:

20J + 100 = 400

, which simplifies to

J = 15 calories per minute for jogging

. Thus, Darlene burns 15 calories for each minute of jogging and 10 calories for each minute of cycling.

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Answer:

60 is c not d

Step-by-step explanation:

Answer:

c. m∠ABC = 60°

Step-by-step explanation:

E2020

Answer:

28

hope this helps

Answer:

34 is the median of the following data set.

Step-by-step explanation:

We have given a data set of values.

28,45,12,34,36,19,20

We have to find median of the given data set.

Median is defined as the middle value of the ordered data set.

Putting given data set in order , we have

12,19,20,28,34,36,45

Hence, the middle value is 28.

So, median is 34  for given data set.

Answer:

45

Step-by-step explanation:

Simplify the following:

43 + 2 (3 - 2)

3 - 2 = 1:

43 + 2×1

2×1 = 2:

43 + 2

43 + 2 = 45:

Answer:  45

Answer:

STOP SAYING ITS 45 BECAUSE ITS NOT THE 43 IS SUPPOSED TO BE 4 TO THE POWER OF 3

Step-by-step explanation:

okay?

Answer:

[tex]\large\boxed{V=\dfrac{256\sqrt3}{3}\ cm^3}[/tex]

Step-by-step explanation:

The formula of a volume of a square pyramid:

[tex]V=\dfrac{1}{3}(b^2)(H)[/tex]

b - edge of a base

H - height

We have b = 8cm and the triangle 90 - 60 - 30. The sides of that triangle are in ptoportion 1 : √3 : 2 (look at the picture).

From the picture we have

[tex]a=\dfrac{b}{2}\to a=\dfrac{8}{2}\ cm=4\ cm[/tex]

Therefore

[tex]H=a\sqrt3\to H=4\sqrt3\ cm[/tex]

Substitute:

[tex]V=\dfrac{1}{3}(8^2)(4\sqrt3)=\dfrac{1}{3}(64)(4\sqrt3)=\dfrac{256\sqrt3}{3}\ cm^3[/tex]

To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.

Answer: [tex](-\frac{5}{7})^{17}[/tex]

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

[tex](b^a)(b^c)=b^{(a+c)[/tex]

Where b is the base and a and c are exponents.

 Then simplify it by rewriting the base ([tex]-\frac{5}{7}[/tex]) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

[tex](-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}[/tex]

Final answer:

To simplify the expression [tex](- 5/7)^8\times (- 5/7)^9[/tex], add the exponents of the same base to get [tex](-5/7)^{17}[/tex], which is the simplified expression written as a power.

Explanation:

To simplify the expression and write the answer as a power when you have [tex](- 5/7)^8\times (- 5/7)^9[/tex], you can use the property of exponents that states when you multiply expressions with the same base, you add their exponents.

This means the simplified expression will be [tex](- 5/7)^8[/tex]+9, which equals [tex](-5/7)^{17}[/tex]. The negative base raised to an odd power remains negative, resulting in a negative final answer.

Answer:

     $34,505

s = --------------- = $33,500

         1.03

Step-by-step explanation:

Last year's salary was 1.00 s.

A 3% pay raise would thus amount to 0.03s.

This would equal this year's salary:  $34,505.

Thus, 1.03s = $34,505; find s, which was last year's salary.

Dividing both sides by 1.03, we get:

     $34,505

s = --------------- = $33,500

         1.03

Answer:

L: 8in W: 2in H: 22in

Step-by-step explanation:

The MAD for this set of number is 0.36

I think line k I'm not sure

Answer:

Point X is the correct answer.

Step-by-step explanation:

The point X is on the line M in plane A

Final answer:

Option B: x + (y - z) is equivalent to the given expression (x + y) - z, applying the principles of associativity of addition and subtraction.

Explanation:

The question asks which of the given expressions are equivalent to (x + y) - z. To find the equivalent expressions, we need to apply the principles of commutativity and associativity of addition and subtraction.

Option A: z + (x + y) is not equivalent because the order of operations affects the result due to the subtraction of z. By combining z at the beginning, it implies adding before subtracting z, which alters the outcome unless z is explicitly negated.

Option B: x + (y - z) is equivalent. You can alter the grouping of addition due to associativity (x + y) - z = x + (y - z). Subtracting z directly from y before adding to x does not change the result.

Option C: None of the above is incorrect because Option B is indeed equivalent to the original expression.

Therefore, the expression that is equivalent to (x + y) - z is Option B: x + (y - z).

Answer:

Top one

Step-by-step explanation:

turn b² into a fraction of h, so b2h/h

For this case we have the following equation to find [tex]b_ {1}[/tex]

[tex]b_ {1} = \frac {2A} {h} -b_ {2}\\\\[/tex]

If we want to find an equivalent equation, we do the following:

[tex]\frac{2A}{h}-b_{2}=\frac{2A*1-b_{2}*h}{h}=\frac{2A-b_{2}h}{h}\\\\[/tex]

So, we have to:

[tex]b_ {1} = \frac {2A} {h} -b_ {2} = \frac {2A-b_ {2} h} {h}\\[/tex]

Answer:

Option A

Answer:

The 16 term will be 28,697,814

Step-by-step explanation:

The pattern here is that Each number is being Multiplied by 3

Example= (2x3=6)  (6x3=18)  (18x3=54) (54x3=162) keep doing that until you get the  16th term.

Took me a while....

Hopes this helps you!

Answer:

[tex]a\geq -5[/tex]

Answer:

Step-by-step explanation:

Givens:

So, to know how many times the length of Noah's bike ride was Mai's bike ride, we can use the following equation:

[tex]6\frac{3}{4} \ mi=x(4\frac{1}{2} \ mi)\\\frac{27}{4}=\frac{9}{2}x\\ x=\frac{54}{36}=\frac{3}{2}=1.5[/tex]

Therefore, Mai biked 1.5 times more miles than Noah.

1.5 times the length of Noah’s bike ride was Mai’s bike ride.

Step-by-step explanation:

Given :

Mai Biked -

[tex]\rm 6\dfrac{3}{4} \; miles = \dfrac {27}{4} \; miles[/tex]

Noah Biked -

[tex]\rm 4\dfrac {1}{2} \; miles = \dfrac {9}{2} \; miles[/tex]

Calculation :

To find how many times the length of Noah’s bike ride was Mai’s bike ride, use below equation

[tex]\dfrac{27}{4}=x\dfrac{9}{2}[/tex]

[tex]\rm x = 1.5 \; times[/tex]

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Answer:

-4j-4k-4g

Step-by-step explanation:

n can be whatever number u want it to be or whatever number given because it is a variable

The answer is −2.4x2−1.5x−11.4

Let's simplify step-by-step.

−4.1x2+0.9x−9.8+1.7x2−2.4x−1.6

=−4.1x2+0.9x+−9.8+1.7x2+−2.4x+−1.6

Combine Like Terms:

=−4.1x2+0.9x+−9.8+1.7x2+−2.4x+−1.6

=(−4.1x2+1.7x2)+(0.9x+−2.4x)+(−9.8+−1.6)

=−2.4x2+−1.5x+−11.4

Answer:

The value of x is 13

Step-by-step explanation:

* Lets study the to circles

- The are congruent

- The length of chord TS equal to the length of chord UV

- The measure of the minor arc TS equal to the measure

 of minor arc UV

- The measure of the major arc TS equal to the measure

 of major arc UV

* We now that the measure of any circle = 360°

∴ The sum of the measure of the minor arc and the measure

  of the major arc equal to 360°

* In circle Q:

∵ The measure of the major arc UV is 22x - 13°

∵ The measure of the minor arc UV is 10x - 43° ⇒ circle R ≅ circle Q

∵ The sum of the measure of the two arcs = 360°

∴ 22x - 13 + 10x - 43 = 360 ⇒ add the like terms

∴ 32x - 56 = 360 ⇒ add 56 to both sides

∴ 32x = 416 ⇒ divide both sides by 32

∴ x = 13

* The value of x is 13

Answer:

quotient

Step-by-step explanation:

A multiple of a number refers to the product of that number and any whole number. When a number is multiplied by itself, it's referred to as exponentiation where the number being multiplied is the base, and the times it is multiplied is the exponent.

The student's question seems to be about the concept of multiplication in Math. A multiple of a number refers to the result of multiplying a number by any whole number. This is basically the process of addition repeated. For instance, the multiples of 3 include 3 (3x1), 6 (3x2), 9 (3x3), etc.

When a number is multiplied by itself a certain number of times, this takes on a different meaning. This operation is called exponentiation, where the number that is being multiplied is the base, and the number of times it's being multiplied is the exponent. For instance, 32 means 3 is being multiplied by itself 2 times (3 x 3), which equals 9. If we say 53, that means 5 is being multiplied by itself 3 times (5 x 5 x 5), which equals 125.

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Answer:

567.63

Step-by-step explanation:

To find the discount, take the original price times the discount percent

discount = 765*30%

               = 765 *.3

               =229.5

The new price is  the original price minus the discount

new price =765-229.5

                 =535.50

Now we need to find the tax.  Tax is the new price times the tax rate

tax =535.5 * 6%

      535.5*.06

       32.13

To find the final price. we add the tax to the new price

final price = new price + tax

                  =535.5+32.13

                  567.63

Answer:

I think the D equals one (1) based on the info i was given

Step-by-step explanation:

Answer:

d = 6 units

Step-by-step explanation:

Circumference of the circle is given by:

[tex]C = \pi d[/tex]

where, d is the diameter of the circle.

As per the statement:

Given a circle 1 with measures of (C, d, and r) and a circle 2 with measures of (C', d', and r').

Circumference of a circle(C) 1 with diameter(d) is given by:

[tex]C = \pi d[/tex]               .....[1]

Also, the circumference of a circle (C') 2 with diameter(d') is given as:

[tex]C' = \pi d'[/tex]

Divide equation [1] and [2] we have;

[tex]\frac{C}{C'} = \frac{\pi d}{\pi d'}[/tex]

⇒[tex]\frac{C}{C'} = \frac{d}{d'}[/tex]

Substitute the given values [tex]\frac{C}{C'}=12[/tex] and d' = 0.50 then;

[tex]12 = \frac{d}{0.50}[/tex]

Multiply both sides by 0.50 we have;

6 = d

or

d = 6 units

Therefore, the value of d is, 6 units

Answer:

Step-by-step explanation:

20 = -d + 16          subtract 16 from both sides

20 - 16 = -d + 16 - 16

4 = -d               change the signs

-4 = d ⇒ d = -4

Answer:

centre = (- 3, - 8), radius = [tex]\sqrt{6}[/tex]

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 3)² + (y + 8)² = 6 ← is in standard form

with centre = (- 3, - 8) and r = [tex]\sqrt{6}[/tex]

Final answer:

After Blake ate 2/6 of a pumpkin pie and gave another 3/6 to his sister, the fraction of the pie that was left is calculated by subtracting the total part taken away (5/6) from the whole pie (1), resulting in 1/6 of the pie remaining.

Explanation:

The question asks about determining the fraction of a pumpkin pie left after Blake ate 2/6 of it and gave another 3/6 to his sister. To calculate the remaining portion of the pie, we add the fractions that were eaten and given away, and subtract that sum from the whole pie, which is represented as 1 (or 6/6, since we are working with sixths).

2/6 (eaten by Blake) + 3/6 (given to his sister) = 5/6. This means 5/6 of the pie was either eaten or given away.

To find the fraction of the pie that was left, we subtract the portion that is gone from the whole. Since 5/6 of the pie was no longer available, subtracting this from 1 (the whole pie) gives us 1 - (5/6) = 1/6. Therefore, 1/6 of the pumpkin pie was left.

Answer:

30 Mintues to get there + 30 Mintues early = 1 hour

2:00 PM - 1 hour = 1 PM

Step-by-step explanation: