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Solve the equation.
3m= 5(m + 3)-3
HELP

Answer:

y+1 = 3(x-4)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1 , y1) is a point on the line

y - -1 = 3(x-4)

y+1 = 3(x-4)

Answer:

Step-by-step explanation:

5+4g+8=1

To solve the equation first group like terms.

Send the constants to the right side of the equation

That's

4g = 1 - 5 - 8

Simplify

4g = - 12

Divide both sides by 4

[tex]g = - \frac{12}{4} [/tex]

We have the final answer as

Hope this helps you

Answer:

Amount invested in account with 5% annual interest = $300

Amount invested in account with 7% annual interest = $400

Amount invested in account with 8% annual interest = $900

Step-by-step explanation:

Let the money invested in account with 5% annual interest = [tex]x[/tex]

As per question statement,

Money invested in account with 8% annual interest = [tex]3x[/tex]

Given that total amount invested in three accounts = $1600

So, Money invested in account with 7% annual interest = 1600- [tex]3x[/tex] -[tex]x[/tex] = 1600- [tex]4x[/tex]

For one year, the compound interest is same as that of Simple Interest.

Formula for simple interest is given as:

[tex]SI =\dfrac{PRT}{100}[/tex]

Where, P is the amount invested

R is the annual rate of interest

T is the time for which the amount is invested.

As per question statement:

[tex]\dfrac{x\times 5\times 1}{100}+\dfrac{(1600-4x)\times 7\times 1}{100}+\dfrac{3x\times 8\times 1}{100} =115\\\Rightarrow 5x\times +1600\times 7-28x+24x=11500\\\Rightarrow 29x-28x = 11500-11200\\\Rightarrow \bold{x =\$300}[/tex]

Amount invested in account with 5% annual interest = $300

Amount invested in account with 7% annual interest = $1600-$1200 = $400

Amount invested in account with 8% annual interest = $900

Answer:

11^5/3

Step-by-step explanation:

when you move the 5 over to the right, it always goes above the other exponent. if that makes sense? I use this shortcut.

another way of showing is:

[tex]x\frac{a}{b} = \sqrt[b]{x^a}[/tex]

Answer:

[tex]11^{\frac{3}{5} }[/tex]

Step-by-step explanation:

Proof:

The power of a fraction is:

[tex]x^{\frac{a}{b} } =\sqrt[b]{x^{a} }[/tex]

Well when you take x*5 and put that into a glizzy then you swallow it whole the answer will come out to about answer B

Answer:

Below.

Step-by-step explanation:

1.   You can construct a square knowing only 1 measurement, the length of each side.

2. Also a rectangle can be constructed only knowing 2 measurements: the length and the width.

Answer:

Option A. f(x) = 4x + 7

Step-by-step explanation:

To obtain the answer to the question, we simply try each of the equation using the first two value of x in the table to see which of them will satisfy the table. This is illustrated below:

For option A

1. f(x) = 4x + 7

x = - 1

f(x) = 4(-1) + 7

f(x) = - 4 + 7

f(x) = 3

2. f(x) = 4x + 7

x = 0

f(x) = 4(0) + 7

f(x) = 0 + 7

f(x) = 0

For option B

1. f(x) = 7x - 4

x = - 1

f(x) = 7(-1) - 4

f(x) = - 7 - 4

f(x) = - 11

2. f(x) = 7x - 4

x = 0

f(x) = 7(0) - 4

f(x) = 0 - 4

f(x) = - 4

For Option C

1. f(x) = -4x - 1

x = - 1

f(x) = -4(-1) - 1

f(x) = 4 - 1

f(x) = 3

2. f(x) = -4x - 1

x = 0

f(x) = -4(0) - 1

f(x) = 0 - 1

f(x) = - 1

For Option D

1. f(x) = x + 7

x = - 1

f(x) = - 1 + 7

f(x) = 6

2. f(x) = x + 7

x = 0

f(x) = 0 + 7

f(x) = 7

From the illustrations made above, only option A satisfy the table.

Answer:

8.4

Step-by-step explanation:

You must multiply 0.6 or 3/5 by 14. 6x14=84, but you must divide that by 10 which would give you a total answer of 8.4 pounds

The weight of the mother cat is 8[tex]\frac{2}{5}[/tex] pounds

The weight of the mother cat can be determined by multiplying the weight of the kitten by 14

Weight of the mother cat = weight of kitten x 14

[tex]\frac{3}{5}[/tex] x 14

= [tex]\frac{42}{5}[/tex]

Convert the improper fraction to a mixed fraction

[tex]\frac{42}{5} = 8\frac{2}{5}[/tex] pounds

To learn more about  fractions, please check:

https://brainly.com/question/21449807?referrer=searchResults

Answer:

18.95

Step-by-step explanation:

ln 2 x ln (4x) = 3

ln 4x = = 3 / ln 2

ln4x =  3 / 0.69315 = 4.3281

4x = e^4.328 = 75.80

x =  18.95.

Answer:

29 more points

Step-by-step explanation:

We basically need to find, what's the distance from -14 to 15.

We know that from -14 to 0 is 14 points, and from 0 to 15 is 15 points.

So in total we travelled [tex]15+14=29[/tex] points.

Hope this helped!

Answer: Hi!

To find the answer for question 24, we would first find the square root of 20 and 5. The square root of 20 is about 4.47 (I used a calculator for convenience) and the square root of 5 is about 2.24. Now we need to add these:

4.47 + 2.24 = 6.71

Now we divide 30 by this:

30/6.71 = 4.47

Now, we'll evaluate the answer choices.

a) is equal to 1.49

b) is equal to 13.4

c) is equal to 4.47

d) is equal to 26.88

The answer choice that is correct is c, because it is what we got for the problem that we were supposed to solve in the beginning.

Hope this helps!

Answer:

C. 4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]

The length of the shadow cast by a person 1.82m tall is 4.99m.

The angle of elevation is an angle a person's sight is making with the object if he stands in the front of an object.

We have been given that the angle of elevation to the sun is 24 degree and the person is 1.82m tall. Then the length of the shadow will be:

tan(24)=1.82/length of the shadow

0.445286853=1.82/length of the shadow

length of the shadow=4.087

=4.09 (approx)

Hence the length of the shadow cast by a person 1.82m tall is 4.09m if the angle of elevation to the sun is 24 degrees.

Learn more about angle of elevation at https://brainly.com/question/88158

#SPJ2

Answer:

68,67 cm^2

Step-by-step explanation:

Let's calculate first the total area of pastry that we have.

Let A be that area.

The pastry has rectangular form so its area is:

● A = width × length

The width here is 16 and the length is 20

● A = 20 × 16

● A = 320 cm^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the are of the 20 pastry circles

Let A' be the area of one circle.

● A' = Pi × r^2

r is the radius wich is the diameter over 2.

● d/2 = 4/2 = 2 cm

● A' = Pi × 2^2

● A' = 4Pi cm^2

The area of 20 pastry circles is 20A'

● 20A'= 20 × 4 × Pi

● 20A'= 80Pi

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let A" be the area of the remaining pastry

● A" = A-20A'

● A" = 320 - 80Pi

● A" = 68.67 cm^2

Answer:

7+i

Step-by-step explanation:

(7+5i)/1-4i = 7+i

Answer:

[tex]-\frac{13}{17} + \frac{33}{17} i[/tex]

Step-by-step explanation:

(see attached)

Answer:

15/2, 13/2.

Step-by-step explanation:

Here's a graph as well.

Answer in fraction form = (15/2, 13/2)

Answer in decimal form = (7.5, 6.5)

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

Explanation:

To get the midpoint, we average the two endpoint values. We handle the x and y coordinates separately.

The x coordinates of each point are 6 and 9. They average to (6+9)/2 = 15/2 = 7.5; so you add up the x coordinates and divide by 2.

The y coordinates are handled the same way. Add them to get 4+9 = 13 and then divide by 2 to get 13/2 = 6.5

The midpoint is (15/2, 13/2) = (7.5, 6.5)

Answer:

B

Step-by-step explanation:

Answer:

2b-6

Step-by-step explanation:

[tex]2(b-3)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=2,\:b=b,\:c=3\\=2b-2\times \:3\\=2b-6[/tex]

Answer:

w = 16

Step-by-step explanation:

7/8 *w = 14

Multiply each side by 8/7

 8/7 *7/8 *w = 14*8/7

 w = 14/7*8

 w = 2*8

w = 16

Answer:

w = 16

Step-by-step explanation:

7 / 8w = 14

multiply both sides by 8:

8 * (7/8w) = 14 * 8

simplify

7w = 112

w = 112 / 7

w = 16

So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.

[tex]\frac{32}{5} = \frac{x}{18}[/tex]

To get from 5 to 18, you multiply by 3.6.

Do the same thing to the numerator; 32 × 3.6 = 115.2.

Since 0.2 marbles is no marbles, you round down.

There are 115 marbles in the box.

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

50°

Step-by-step explanation:

angle ABE and angle CBD are vertical angles and has same measure so <ABE = 50°

Answer:

45 km per hour

Step-by-step explanation:

We want to find the tricycle's speed in kilometers per hour.

Therefore, we must divide the kilometers traveled by the number of hours.

speed= kilometers / hours

The tricycle travels 180 kilometers in 4 hours.

speed= 180 km / 4 hrs

Divide 180 km by 4 hrs.

⇒ 180/4=45

speed= 45 km / hour

The tricycle's speed is 45 kilometers per hour.

Answer:

[tex]\Huge \boxed{{x=15\°}}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

We can create an equation.

x + 165 = 180

Solve for x.

Subtract 165 from both sides.

x + 165 - 165 = 180 - 165

Simplify the equation.

x = 15

Answer:

15°

Step-by-step explanation:

Angle of a line with a center is 180°

To find x:

x = 180 - 165°

x = 15°

15° is the answer.

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

Explanation:

There are two methods to approach this type of problem.

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

Method 1

A = junior

B = girl

P(A) = probability of selecting a junior

P(B) = probability of selecting a girl

P(B) = (number of girls)/(number total)

P(B) = (4+7+3+4)/(4+4+5+7+2+3+1+4)

P(B) = 18/30

P(B) = 9/15

P(A and B) = probability of selecting a girl who is a junior

P(A and B) = (number of girl juniors)/(number total)

P(A and B) = 3/30

P(A and B) = 1/10

P(A given B) = P(A and B)/P(B)

P(A given B) = (1/10) divided by (9/15)

P(A given B) = (1/10) times (15/9)

P(A given B) = (1*15)/(10*9)

P(A given B) = 15/90

P(A given B) = 1/6

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

Method 2

This method doesn't involve dividing two fractions which could get messy, which is why I find this the easier route. Since we are given the person is a girl, this means we only need to focus on the "girls" column. There are 3 who are juniors out of 4+7+3+4 = 18 total. The probability of selecting a girl junior is 3/18 = 1/6

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 402 yards

The statement

the length of the field is 9 yards less than quadruple the width is written as

l = 4w - 9

Substitute this is expression into the above formula and solve for the width

That's

402 = 2( 4w - 9) + 2w

402 = 8w - 18 + 2w

10w = 402 + 18

10w = 420

Divide both sides by 10

Substitute this value into l = 4w - 9

That's

l = 4(42) - 9

l = 168 - 9

Therefore

length = 159 yards

width = 42 yards

Hope this helps you

Answer:

4 - 16 ÷ 4 + 4² =

Step-by-step explanation:

= 4 - 16 ÷ 4 + 4²

= 4 - 16 ÷ 4 + 16

= 4 - ( 16 ÷ 4 ) + 16

= 4 - 4 + 16

= 16

Answer:

Change In velocity= 13.72 ms^-1

Step-by-step explanation:

fish experiences an acceleration of

9.8 m/s^2 over a period of 1.4s

Change in velocity/time= acceleration

Time in seconds= 1.4 s

Acceleration in meter per second square= 9.8 m/s^2

Change in velocity/time= acceleration

Change In velocity= acceleration*time

Change In velocity= 9.8*1.4(m/s^2 *s)

Change In velocity= 13.72 ms^-1

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

The given parameters are

The number of apples with each of the seven apple women = 20, 40, 80, 100, 120, and 140

The number of apples each woman has can be written in the following formula obtained online which is a series formula

a·n + (n - 1), (a + b)·n + (n - 2), (a + 2·b)·n + (n - 3), (a + 3·b)·n + (n - 4), (a + 4·b)·n + (n - 5), (a + 5·b)·n + (n - 6), (a + 6·b)·n + (n - 7)

Which gives;

a·n + (n - 1) = 20

(a + b)·n + (n - 2)=40

(a + 2·b)·n + (n - 3) = 60

(a + 3·b)·n + (n - 4) = 80

(a + 4·b)·n + (n - 5) = 100

(a + 5·b)·n + (n - 6) = 120

(a + 6·b)·n + (n - 7) = 140

Solving the above system, we get

n = 7, a = 2, b = 3

Which gives

2×7 + 6 = 20

5×7 + 5=40

8×7 + 4 = 60

11×7 +  3 = 80

14×7 + 2 = 100

17×7 + 1 = 120

20×7 + 0 = 140

Whereby all the women sold the apples for the same sum price, based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount taking home by each of them given as follows;

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 +  3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

Answer:

y intercept

y = -5

Answer:

A) 4 students

B) 32.5%

C) 19/40

Step-by-step explanation:

Using set notation to solve the problem with universal set n(U) = 40

Let n(A) be the number of students that pass account

n(E) be the number of students that pass economics

n(M) be the number of students that pass mathematics

n(AUEUM)' be number of students that failed in all the 3 subjects.

n(AUEUM) be number of students that pass in all the 3 subjects.

n(U) = n(AUEUM)+ n(AUEUM)'

Find the remaining solution in the attachment

Answer:

use a calculator

Answer:

Step-by-step explanation:

For example, if you had 2 3/4, you would change the mixed number into an improper fraction. That would equal 11/4 (4 times 2 is 8 and 8 + 3 is 11). Then, you would divide 11 by 4, which equals 2.75 (2 and 75 hundredths).

For negative fractions, you would take the numerator divided by the denominator (3/4= 3 divided by 4= 0.75). You would then put the negative sign in front of the decimal.

The individuals in this data set are C) Cities

Same idea as last time, but now we're listing cities and their associated weather data.

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

The data set contains B) 4 variables, 2 of which are categorical

The four variables are

The two categorical variables are "kind of precipitation" and "severe weather alert". This is because the choices for each of these variables is a list of labels rather than numeric values. We cannot do things like find the average of the kind of precipitation as it doesn't make sense to do so. Each of these categorical variables are also nominal. This means they simply have a label or name. We cannot do things like order the data.