The angles of a triangle add up to 180 degrees.

The second angle is 15 degrees larger than the smallest angle.

The third angle is 3 times as big as the smallest angle.

Find the measure of the smallest angle (in degrees)

Answer:

tom needs to rend 14 tables

Answer:

Algebra.

Geometry.

Trigonometry.

Calculus.

Statistics and Probability

Step-by-step explanation:

that is all the branches.

Answer:

x=-4

Step-by-step explanation:

1. Distribute.

|-8x-20|=-12

2. Make it positive.

8x+20 = -12

3. Inverse operations.

8x = -32

4. Divide.

x = -4.

Answer:

You have no examples of models

Step-by-step explanation:

Answer:

it's not even in the pic

Step-by-step explanation:

the q isn't even there

Answer:

66 jars of jam

Step-by-step explanation:

Elizabeth is selling jam at a farmers market.

She earns $5 for each jar of Jan that she sells

Her goal is to earn $450 during the weekend.

Elizabeth has already made $95 from the sale of her jams and $24 from leading a demonstration

Therefore the total amount that has been made is

= $95 + $24

= $119

Since her target is $450 and she has already made $119 then the amount remaining to complete the target can be calculated as follows

= $450 - $119

= $331

The minimum number of jars that Elizabeth must sell to realize her goal can be calculated as follows

= 331/5

= 66

Hence Elizabeth must sell 66 jars of jam to reach her goal.

Answer:

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

Step-by-step explanation:

Formula for the equation of the linear function

(Y-y1)/(x-x1) = m

We will transform it into the equation form

Y= mx + b

Where m = slope=4

b = intercept

(Y-y1)/(x-x1) = m

(Y-y1)/(x-x1) = 4

(Y-y1)= 4(x-x1)

Y-y1= 4x -4x1

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

An equation for the family of linear functions with slope 4 is; y = 4x +b

The equation of a line can be determined by means of the slope as follows;

Therefore, for this scenario;

By Cross-product, we have;

Since, the y-intercept, b is the value of y for which x= 0.

Hence;

Read more on slope-intercept form;

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Answer:

Step-by-step explanation:

to compare them, we need to convert them into like fractions

4/3 and 5/2

lcm of 3 and 2 is 6

4/3 × 2/2 = 8/6

5/2 × 3/3 = 15/6

15/6 is greater than 8/6

so 5/2 is greater than 4/3

similarly,

-3/2 and -4/5

we need to convert them into like fractions

lcm of 2 and 5 is 10

-3/2 × 5/5 = -15/10

-4/5 × 2/2 = -8/10

-8/10 is greater than -15/10

so -4/5 is greater than -3/2

Hope this helps

plz mark as brainliest!!!!

Answer:

400

Step-by-step explanation:

The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, This method is called the Lincoln-Peterson Index of population size.

Answer:

y = 10(1.03)^x

Step-by-step explanation:

In the formula y = p(1 + r)^x, p is the starting amount and r is the growth rate.

In this problem, the starting amount is 10. So, p = 10.

The growth rate is 3% each week, which is the same as 0.03 as a percentage. So, r = 0.03.

Plug these into the equation:

y = 10(1.03)^x will be the equation for this situation

The equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

We have:

A pond increases 3% each week.

The exponential growth is represented by:

y = p(1 + r)×

p = 10 feet

r = 3% = 0.03

y = 10(1 + 0.03)×

y = 10(1.03)×

Thus, the equation that best represents the depth of the pond each week is y = 10(1.03)× option (D) is correct.

Learn more about the exponential function here:

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Answer:  C. 5(7x² - 3)

Step-by-step explanation:

Product means multiplication

Difference means subtraction

square means "to the power of 2"

Product of 5 and  _______ -->     5(__)

Difference of 7 ... and 3   -->  7... - 3

7 times the square of x  --->  7x²

Put it together to get: 5(7x^2 - 3)

Answer:

D is the correct answer

Step-by-step explanation:

I got it right

Answer:

The regular size bag of doritos is a better deal, I believe. Hope this helps!

Step-by-step explanation:

Answer:

144 in²

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 * 16 * 18

area = 144 in²

When you want to round up or down numbers focus on only two digits,which is the digit in place that you are rounding to and the digit to it's immediate right which tells you whether to round up or down.When the number you are rounding is between 0-4, you round down to the next lowest number. When the number is 5-9,you round the number up to the next highest number.

For example: If you have 25 and you want to round it up then it will be rounded up to 3 because 5 can be rounded up to the next number which is 2 to make it 3.But when you have 23,then you can't round it up which means you will have to round it down to 20 since the 3 behind the 2 can't round up.

I hope this helps......

Answer:

y = -5x + 7

Explanation:

Slope is given -5

7 is the y-intercept.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}[/tex]

Step-by-step explanation:

The GCF of any numbers can be obtained by using two methods. They are :

Now, I am going to find out the GCF of 54 , 72 and 108 using these both methods :

Let's find out using the prime factorization method

First of all , find the prime factor of each numbers

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

Take out the common prime factors of given numbers

Common prime factors = 2 , 3 and 3

Multiply those common prime factors and the number obtained is G.C.F

GCF = Common prime factors

= 2 × 3 × 3

= 18

-----------------------------------------------------------

Now,let's find out using another method i.e division method

Steps for finding G.C.F by using division method:

Step 1 : Divide the larger number by smaller one.

Step 2 : In case of remaining remainder, divide the first division by that remainder.

Step 3 : Again if remainder leaves, divide the second divisor by the remainder.

Step 4 : Repeat the process until the remainder becomes the zero. So , that the last divisor is the G.C.F

( See attached picture )

Hope I helped!

Best regards!!

Answer/Step-by-step explanation:

Given:

[tex] 9w - 4w + 6 [/tex] < [tex] 1 + 5w [/tex]

To solve, collect like terms.

Subtract 5w from both sides

[tex] 9w - 4w + 6 - 5w [/tex] < [tex] 1 + 5w - 5w [/tex]

[tex] 9w - 4w - 5w + 6 [/tex] < [tex] 1 [/tex]

[tex] 6 [/tex] < [tex] 1 [/tex] (incorrect)

The inequality given has no solution or an information is missing.

Answer:

[tex]\Huge \boxed{\mathrm{7. \ C}} \\\\ \\ \Huge \boxed{\mathrm{8. \ B}} \\\\\\ \Huge \boxed{\mathrm{9. \ D}} \\\\\\ \Huge \boxed{\mathrm{10. \ D}} \\\\\\ \Huge \boxed{\mathrm{11. \ A}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The Commutative Property of Addition changes the order of the numbers but does not affect the sum.

We will convert the values into decimals for simplicity.

[tex]\sqrt{7} \approx 2.65[/tex]

[tex]\sqrt{3} \approx 1.73[/tex]

[tex]\displaystyle \frac{-1}{3} \approx -0.33[/tex]

Arranging from least to greatest:

[tex]\displaystyle -2.3, \ \frac{-1}{3} , \ \sqrt{3} , \ \sqrt{7} , \ 5.1[/tex]

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

(image)

The two subsets of real numbers are rational and irrational numbers.

[tex]\sqrt{13}[/tex] is an irrational number.

[tex]\displaystyle \frac{12x-8}{4}[/tex]

[tex]\displaystyle \frac{12x}{4}-\frac{8}{4}[/tex]

[tex]3x-2[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

Kenji walks 3 miles in an hour.

Step-by-step explanation:

1 hour = 3600 seconds

3600/10 = 360

So there are 360 increments of 10 in an hour. Multiply 44 by 360 to find the amount of feet in an hour:

(44)(360) = 15840

Now we have to divide 15,840 by the amount of feet in a mile (5,280):

15840/5280 = 3

So Kenji walks 3 miles in an hour.

Kenji walks 3 miles in one hour.

We know that,

        1 hours = 60 minutes = 3600 seconds

Since, Kenji walks 44 feet in 10 seconds

Kenji walks in 1 second,[tex]=\frac{44}{10}=\frac{22}{5}feet[/tex]

Kenji walks in 3600 seconds , [tex]=\frac{22}{5}*3600=15840feet[/tex]

Given that,  1 mile = 5,280 feet

So that,    [tex]15840feet=\frac{15840}{5280}=3miles[/tex]

Thus, Kenji walks 3 miles in one hour.

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Answer:

1/3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

x^5=-243

so we find the prime factorization of 243

its 3^5 so the answer is -3

Answer:

15 multiple choice questions

5 free response questions

Step-by-step explanation:

This is basically a systems of equations word problem.

To solve this, we need to create two equations that represent this scenario. Let's suppose [tex]m[/tex] represents the amount of multiple choice questions and [tex]f[/tex] represents the amount of free-choice questions.

We can create the following equations:

[tex]4m + 8f = 100[/tex]

[tex]m+f=20[/tex]

To solve for m and f, we can use elimination.

Let's multiply the equation [tex]m+f=20[/tex] by -4.

[tex]-4m - 4f = -80[/tex]

Great! Now let's add this equation to our first one, [tex]4m + 8f = 100[/tex].

[tex]4m + 8f = 100[/tex]

[tex]-4m - 4f = -80[/tex]

___________________

[tex]0m + 4f = 20[/tex]

[tex]4f=20[/tex]

Dividing both sides by 4 get us [tex]f=5[/tex].

So there are 5 free choice questions. To find m, we can substitute inside the equation [tex]m+f=20[/tex]

[tex]m+5=20\\\\m=20-5\\\\m=15[/tex]

So there are 15 multiple choice questions.

Hope this helped!

Answer:

= 1799   or   224.875

     8

Step-by-step explanation:

5³ − (6/48) + 10²

= 125 - (0.125) + 100

= 224.875

or

5³ − (6/48) + 10²

= 125 - 1/8 + 100

= -1/8 + 225

= (225 * 8)/8 - 1/8

= (225 * 8-1) / 8

= 1799   or   224.875

     8

Answer:

[tex]\huge \boxed{\frac{1799}{8} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5^3-(\frac{6}{48} )+10^2[/tex]

Solving for exponents:

[tex]\displaystyle 125-(\frac{6}{48} )+100[/tex]

Adding or subtracting:

[tex]\displaystyle -(\frac{1}{8} )+100+125[/tex]

[tex]\displaystyle -(\frac{1}{8} )+225[/tex]

[tex]\displaystyle -(\frac{1}{8} )+\frac{1800}{8}[/tex]

[tex]\Rightarrow \ \displaystyle \frac{1799}{8}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

18x^2

Step-by-step explanation:

You're basically just multiplying them together :)

Answer:

$125

Step-by-step explanation:

I suspect there's an error in the problem statement.  Revenue is the money made from selling the desks.  Profit is the revenue from the desks minus the cost of the booth rental.

If Rayne gives half of his profit to the carpenter, and x is the price per desk, then:

185.50 = ½ (3x − 4)

371 = 3x − 4

375 = 3x

x = 125

Your question has been heard loud and clear.

Well -(-5)=5

5/-5/= -5

/-5/5= -5

So basically , the statement is false because   -5(-5) not equal to -5/-5/

Thank you

From the given options |-5|=-5 is false. Therefore, option B is the correct answer.

We need to identify the false statement from the given options.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.

From option (A):

-(-5)=5 is true

From option (B):

|-5|=-5 is false

From option (C):

-|-5| = -5 is true

From option (D):

-|5| = -5 is true

From the given options |-5|=-5 is false. Therefore, option B is the correct answer.

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Answer:

Its Eric 9.8m

Step-by-step explanation:

Answer:

9.8

Step-by-step explanation:

khan academy

Answer:

Second option, scale factor is 2.5

Step-by-step explanation:

We see that ∠B ≅ ∠E and ∠C ≅ ∠F, therefore, ΔABC ~ ΔDEF by the AA Similarity for Triangles Theorem which states that if two pairs of corresponding angles are congruent in two triangles, then those two triangles are similar. To find the scale factor, all we have to do is DF / AC = 5/2 or 2.5.

Answer:

0,-7 8,567;7,57,6,6,6,6,6,78,3,5

Answer:

The square root of 3 is 9