Describe how the number of total triangles in each shape is related to the shape’s number.

Answer:

$1770

Step-by-step explanation:

Remember that percent means "out of 100". 3% as a ratio is 3:100 or 3/100.

59,000 is the total amount, the whole, so it corresponds to 100%.

The problem is asking:

59,000 is to 100 as what is to 3?

59,000/100 = x/3

Cross multiply:

100x = 59,000 * 3

100x = 177,000

x = 1770

The commission is $1770.

Answer:

14

Step-by-step explanation:

Replace with the values

15-1/2(2) = 15-1 = 14

Answer:

14

Step-by-step explanation:

e-1/2f

Let e =15 and f =2

We can substitute these values into the expression

15 - 1/2 (2)

15 - 1

14

Answer:

2:5

Step-by-step explanation:

cats: dogs

8:20

We can divide each by 4

8/4: 20/4

2:5

The area of the blue glass needed to fill each dot is 144π square inches.

To find the area of the blue glass needed to fill each dot, we need to first determine the radius of the dot. The distance around each dot is given as 24π inches, which means the circumference of the dot is 24π inches.

Using the formula for circumference, 2πr = 24π, we can solve for the radius r, which is 12 inches. The area of the blue glass needed to fill each dot is then the area of a circle with radius 12 inches, which is given by the formula A = πr^2.

Substituting the value for r, we get A = π(12)^2 = 144π square inches.

Answer:

Jeff had in the account 3,623.85 after 3 years

Step-by-step explanation:

Investment: p=3,000

Interest: i=6.5%=6.5/100→i=0.065

Time (in years): t=3

A(3)=?

A(t)=p(1+i)^t

t=3→A(3)=p(1+i)^3

Replacing the given values:

A(3)=3,000 (1+0.065)^3

A(3)=3,000 (1.065)^3

A(3)=3,000 (1.207949625)

A(3)=3,623.848875

Rounding to the nearest hundredth:

A(3)=3,623.85

Answer:

the answer is 28.3 cm

Step-by-step explanation:

Answer:

The answer is 28.3cm

Step-by-step explanation:

You take the "new" side length, 22 cm, over the "old" side length, 1.4 cm and write the proportion 22/1.4= x/1.8 cm using x as the unknown, and 1.8 cm as the other "old" side length. Then solve. Multiply 22 x's 1.8. Then divide by 1.4. Giving us the solution x= 28.3 cm.

Hope this helps!

Answer:

They are not proportional.

Step-by-step explanation:

To check if the fractions are proportional, we can use cross products.

1                6

----- =  --------------

3                   20

1 * 20  = 3 * 6

20 = 18

This is not true, so they are not proportional.

Answer,

No

Explanation,

To find out if a pair of fractions are proportional you can use cross multiplication. Only fractions that are equivalent to eachother are proportional.

1/3 = 6/20

1 * 20 = 20

3 * 6 = 18

As we can see they are not equivalent, therefore it is not proportional.

Hope This Helps :-)

Riding a bicycle for one hour burns 700 calories. Therefore,  biking for two hours burns a total of 1400 calories.

To solve this question, we need to understand that vacuuming and mopping for an hour burns 280 calories, which is 40% of the calories burned by biking for the same time. The first step is to determine the total number of calories burned when biking for one hour.

Let x represent the total number of calories burned by biking for one hour. According to the problem, 40% of x is 280 calories, which we can write as:

0.40x = 280 calories

To find the value of x, we divide both sides of the equation by 0.40:

x = 280 / 0.40

x = 700 calories

Thus, biking for one hour burns 700 calories. Now to find out the total number of calories burned by biking for two hours, we simply multiply this number by 2:

Total calories for 2 hours of biking = 700 calories × 2

Total calories for 2 hours of biking = 1400 calories

The answer is that riding the bicycle for two hours burns a total of 1400 calories.

Answer: The coordinates of the midpoint of diagonal AC are [tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]. The coordinates of the midpoint of diagonal BD are  [tex](\frac{a+b}{2} , \frac{c}{2} )[/tex] AC and BD  intersect at point E with coordinates [tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]. By the definition of midpoint, CE ≅ EA and BE ≅ ED Therefore, diagonals AC and BD bisect each other.

Step-by-step explanation:

Since, here the coordinates of A ≡ (0,0) B ≡ (a, 0) D≡ ( b,c)

And, here ABCD is the parallelogram.

Therefore AB = CD

If y is the y-coordinate of C Then C≡(a+b, y)

⇒ [tex]a^2 + 0 = (a)^2 + (y-c)^2[/tex]

⇒ y =c

Thus, C≡(a+b, c)

The coordinates of the midpoint of diagonal AC are,

[tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]

And,  The coordinates of the midpoint of diagonal BD are,

[tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]

Since, by the below diagram AC and BD are intersecting at point E,

Where the  coordinates of E are,

[tex](\frac{a+b}{2} , \frac{c}{2} )[/tex]

Thus, E is the mid point of Both the segments AC and BD

Because, BE = ED and AE = EC

Therefore, we can say that both AC and BD bisect each other.

Answer:

the coordinate point C are (a+b,c)

The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b/2, c/2)

The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (a+b/2, c/2)

AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates ​(a+b/2, c/2)​

By the definition of midpoint, AE¯¯¯¯¯≅CE¯¯¯¯¯and BE¯¯¯¯¯≅DE¯¯¯¯¯

Step-by-step explanation:

Answer:

A= 40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3/4 (2a-6)+1/2=2/5(3a+20)

(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)

(distribute)

3/2a + -9/2 + 1/2 = 6/5a + 8

(3/2 a) + ( -9/2 + 1/2 ) = 6/5a + 8 (Combine like terms)

3/2a + -4 = 6/5a + 8

3/2a -4 = 6/5a+8

Step 2: Subtract 6/5a from both sides.

3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a

3/10 a - 4= 8

Step 3: Add 4 to both sides.

3/10a -4 +4 = 8 + 4

3/10 a = 12

Step 4: Multiply both sides by 10/3

(10/3) * (3/10a) = (10/3) * (12)

a = 40

Answer:

40

Step-by-step explanation:

Answer:

12(2V -7)

Step-by-step explanation:

Using the Greatest Common Factor, we need to find factor out the greatest common factor of the two numbers ; 24 and 84. That is; the greatest number that can divide 24 and 84

The easiest way to find the greatest common factors is;

1. To first find the factors of each number

2. Find the common factors of the two numbers

3. Find the greatest number among those factors

Factors are number that can divide a number without a remainder.

Factors of 24 are;   1, 2, 3, 6, 8, 12 and 24

Factors  of 84 are; 1, 2, 3, 6, 7, 12, 14, 42 and 84

common factors are the factors that are common between the two numbers. That is; factors we can find in 24 and as well as 84

common factors are;  1, 2, 3, 6, and 12

Greatest Common Factor : This is also known as the highest common factor, it is the highest among the common factors.

Greatest Common Factor is 12.

Now after we've gotten our Greatest Common Factor(GCF), The next is to factor out this Greatest Common Factor(GCF);

24v - 84 =  12(2v - 7)

Therefore, the factored form of 24v - 84 is  12(2v -7)

The factored form of the given expression is 12(2v-7)

Equations are expressions separated by an equal sign

Greatest common factor is the highest value that can go in a particular expressions

Given the expression 24v - 84

Find that factors of both terms

24v = 12 × 2v

84 = 12 × 7

Since 12 is common to both terms, hence the GCF form of the expression will be written as;

24v - 84 = 12(2v - 7)

Hence the factored form of the given expression is 12(2v-7)

learn more here: https://brainly.com/question/12536372

Answer:

The answer is: 1

Step-by-step explanation:  f(1) = -1, so f(-1) must be 1.

The value of the function by using a given table would be, f (- 1) = 0

Hence, option 3 is true.

Given that,

The function to find the value, f (- 1)

Used the concept of function which stated that, A relation between a set of inputs having one output each is called a function.

Now from the given table,

At x = - 5;

f (- 5) = 4

Similarly,

At x = - 1;

f (- 1) = 0

Therefore, the value of function f (- 1) would be 0.

So, Option 3 is true.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ6

The complete question is shown in the attached image.

Answer:

domain {- 5, 5 }

Step-by-step explanation:

given values in the range, that is values of y then to find the domain equate f(x) to the given values in the range, that is

x + 5 = 0 ⇒ x = - 5

x + 5 = 10 ⇒ x = 10 - 5 = 5

domain is x ∈ { - 5, 5 }

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

[tex](\frac{25}{36})^{\frac{1}{2}[/tex]

It can be written as

[tex]\sqrt{\frac{25}{36}}[/tex]                          [tex][\because x^{\frac{1}{2}=\sqrt{x}][/tex]

Using the property of radical expression, we get

[tex]\frac{\sqrt{25}}{\sqrt{36}}[/tex]                          [tex][\because \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}][/tex]

[tex]\frac{5}{6}[/tex]

The value of given expression is 5/6. Therefore the correct option is C.

change in velocity = 20 - 0 = 20

change in time = 2 seconds

Divide the change in velocity over the change in time: 20/2 = 10

The average acceleration is 10 m/s^2

I.e, each second, the speed increases by 10 m/s

Runner's average acceleration was 10 m / s²

The average acceleration refers to how fast the runner is going in relation to time.

It is calculated by the formula:

= Change in speed / Time

Change in distance here is:

= 20 m/s - 0 m/s

= 20 m/s

The acceleration is therefore:

= 20 / 2

= 10 m/s²

In conclusion, the runner was accelerating at a rate of 10 m/s².

Find out more at https://brainly.com/question/10712715.

Answer:

His answer is not reasonable.

Step-by-step explanation:

448 rubber bands to make 12 rubber band bottles of the same size.

450 divided by 10  is about 45 rubber band per rubber band bottle.

This is nowhere near the the 116 rubber bands to make a rubber band ball.

If the are about the same size, we should use about the same number of rubber bands.

If he used about 100 rubber bands per rubber band bottle * 12 bottles, that would be about 1200 rubber bands.

[tex]|n+8|>3\iff n+8>3\ \vee\ n+8<-3\qquad\text{subtract 8 from both sides}\\\\\boxed{n>-5\ \vee\ n<-11}[/tex]

|-10| = 10

39/4 = 9 3/4

-|-10| + 3 - 39/4 = -10 + 3 - 9 3/4 = -7 - 9 3/4 = -16 3/4

Final answer:

The total trip cost, including gas, hotel, and food for three people, is $829.70, calculated by multiplying the quantities by their respective unit prices and summing up all costs.

Explanation:

Calculating the Total Trip Cost

To calculate the total cost of the trip, we need to consider the cost of gas, hotel, and food. For gas, the cost is $2.09 per gallon, and the consumption is 30 gallons. The hotel cost is $98 per night for 4 nights. Each person's food cost is $25 per day for 5 days.

Here is the detailed calculation:

Therefore, the total cost of the trip is $829.70.

The total cost of the trip is $705.70.the total cost of the trip amounts to $705.70. This includes various expenses such as gas for the trip calculated at $62.70, hotel expenses totaling $392 for the four-night stay, and food expenses adding up to $375 for three people over five days.

To calculate the total cost, start with the gas cost: 30 gallons * $2.09/gallon = $62.70. Next, calculate the hotel expenses: 4 nights * $98/night = $392. Then, calculate the food expenses: 3 people * $25/day * 5 days = $375. Add all these expenses together: $62.70 (gas) + $392 (hotel) + $375 (food) = $829.70.

However, to account for the cost shared among friends, divide the total by 3: $829.70 / 3 = $276.57 per person. Finally, multiply the individual cost by 3 people to find the total cost: $276.57/person * 3 people = $829.70. The final total cost of the trip, considering shared expenses, is $705.70. This includes gas, hotel accommodation, and food for three individuals across the entire trip duration.

In summary, the total cost of the trip amounts to $705.70. This includes various expenses such as gas for the trip calculated at $62.70, hotel expenses totaling $392 for the four-night stay, and food expenses adding up to $375 for three people over five days.

The calculation incorporates sharing costs among the three friends, dividing the overall expenses equally. Each individual's share amounts to $276.57, resulting in a final total cost of $705.70 for the entire trip. This comprehensive calculation considers all major expenses incurred during the trip and divides the shared costs among the friends, arriving at the total trip expenditure.

Answer:

2.64 × 10⁸  

Step-by-step explanation:

When you add numbers in scientific notation, you must convert them to have the same exponents.

One way is to divide the pre-exponential term by some power of 10 and multiply the exponential term by the same number.

    1.02 × 10⁸              = 1.02 × 10⁸

+ (9.4/10¹) × (10⁷×10¹) = 0.94 × 10⁸

+ (6.8/10¹) × (10⁷×10¹) = 0.68 × 10⁸

                     TOTAL = 2.64 × 10⁸

heres a trick: if you go to desmos.com/calculator you can type in your equation and it will show you it on the graph.

since f(x)=y you can say y=-3x-2 and it will show you!

Answer:

Option D.

Step-by-step explanation:

The given function is

[tex]f(x)=-3^x-2[/tex]

We need to find the graph of given function.

At x=0,

[tex]f(0)=-3^(0)-2=-3[/tex]

Similarly, substitute the different values of x and find the values of y.

Table of values

x                 y

-1             -2.33

0               -3

1                -5

2              -11

3              -29

Plot these ordered pairs on a coordinate plane and connect them by a free hand curve. The graph of given function is is shown below.

Therefore, the correct option is D.

Answer:

the answer issss

Step-by-step explanation:

k=60

Answer:

The value of is equal to [tex]k=60\°[/tex]

Step-by-step explanation:

we know that

[tex](2k+11)\°=131\°[/tex] -----> by alternate exterior angles

solve for k

[tex]2k=131\°-11\°[/tex]

[tex]k=120\°/2=60\°[/tex]

Answer:

(4,-12)

Step-by-step explanation:

The equation of a circle has the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.

Our equation is:

[tex](x-4)^2+(y+12)^2=17^2[/tex]

The center is (4,-12).

Answer:

(4,-12)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

line is going along the whole bike

Answer:

The correct

answer between all the choices given is the second choice or letter B. I am

hoping that this answer has satisfied your query and it will be able to help

you in your endeavor, and if you would like, feel free to ask another question.

Answer:

x= -4 is the axis of symmetry

Step-by-step explanation:

The parabola is written in the form y = a (x-h)^2 +k

The vertex is (h,k) and the axis of symmetry is at x=h.

Given f(x) = 3(x- -4)^2 + 1, the vertex is (-4,1)  so the axis of symmetry is x= -4

Answer:

I would have 1 apple

Step-by-step explanation:

5 apples

Gave 4 away

5 - 4 = 1

So you would have 1 apple

Answer:

8

Step-by-step explanation:

1) find the least common denominator

48/8=6

64/8=8

2) check

8 times 6 is 49

8 times 8 is 64