Write the equation of the line that passes through the point (1,5) and has a slope of -2.

9514 1404 393

Answer:

  (1)  $150 million

  (2)  $276.14

Step-by-step explanation:

(1) The ratio 5 : 2 : 6 to shareholders : bonuses : development tells us that the fraction of profits to shareholders is ...

  5/(5+2+6) = 5/13

The dollar amount to shareholders is then ...

  (5/13)($390 million) = $150 million

__

(2) We have ...

  $285.25 = (1 +3.3%) × (May price)

  May price = $285.25/1.033 = $276.14

Answer:

19

Step-by-step explanation:

9514 1404 393

Answer:

  ∠A = 66.2°

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°, so you have ...

  (3x +10)° +(5x)° +(2x +4)° = 360°

  10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °

  x + 1.4 = 36 . . . . . . . . . divide by 10

  x = 34.6

The interior angle at A is the supplement of the exterior angle there:

  ∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°

  ∠A = 66.2°

Answer:

x=18

Step-by-step explanation:

Key skills needed: Arithmetic Sequences, Addition

1) We have a sequence of 8,13,x

2) To find the number being added every time, we do 13-8. This is 5.

3) This means x would be 13+5

4) 13+5 is 18 so x is 18.

Hope you understood and have a nice day!! :D

The expression which can be used to find the total price of a basket order is [tex]T=42b - 7.5[/tex]

Given the following data:

To determine which expression can be used to find the total price of a basket order:

Since the basket orders had a discount of $7.50, this discount would be substracted from the cost price of the orders, in order to find the total price. Also, the total cost price would be multiplied by number of basket orders.

Mathematically, this is given by this expression:

[tex]T=42b - 7.5[/tex]

Read more on discount here: https://brainly.com/question/933761

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

[tex]y \alpha \frac{1}{x}\\y =\frac{k}{x}[/tex]

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

Answer:

(b) [tex]\$24,169.60[/tex]

Step-by-step explanation:

Given:  Cost of car is [tex]\$22,346.16[/tex]

            Sales tax is [tex]7.6\%[/tex]    

             The license and title  charges are [tex]\$125.13[/tex]

To find: The amount that the credit union will finance.

Solution:

We have,  

Cost of car[tex]=\$22,346.16[/tex]  

Sales tax is [tex]7.6\%[/tex] of [tex]\$22,346.16[/tex]

Therefore,  

sales tax [tex]=\frac{7.6}{100}\times22,346.16=\$1698.31[/tex]

The license and title  charges [tex]=\$125.13[/tex]

Now, the amount that the credit union will finance is

cost of car[tex]+[/tex]sales tax[tex]+[/tex]the license and title  charges

[tex]=\$22346.16+\$1698.31+\$125.13[/tex]

[tex]=\$24,169.60[/tex]

Hence, the amount that the credit union will finance is [tex]\$24,169.60[/tex].

So, (b) [tex]\$24,169.60[/tex] is correct.

Answer:

b.

$24,169.60

Step-by-step explanation:

hope it helps :)

Answer:

26

Step-by-step explanation:

1 batch is 1/4 cups of cranberries.

This means that we have to find the number of groups of 1/4 in  6 1/2 cups to find the number of batches.

(The decimal forms of these numbers are 6.5 and 0.25)

6.5/0.25=26

There are 26 batches

Answer:

D

Step-by-step explanation:

simplify:

3x+9>x+33

2x>24

x>12

now see the graphs, and B and D both are marked with 12

but D has no filled circle, so that is the right answer

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

Answer:

It is option 4.

Step-by-step explanation:

Key skills needed to solve this problem: Combining like terms and simplifying

1) We have to combine like terms and simplify to the maximum

Therefore, it is option 4.

Hope you understood! Have a nice day!! :D

Answer:

Acute and Obtuse..I cant see any right

Step-by-step explanation:

Answer:

D) Acute and Obtuse angles

Step-by-step explanation:

The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.

The orange one has 2 acute and 2 obtuse angles

And the green one has both acute and obtuse angles.

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

Answer:

3 * z

Step-by-step explanation:

3 * z

if u multiply them, u get 3z

is that what u meant? or are there options to choose from, or did u forget to add something else?

Answer: See explanation

Step-by-step explanation:

m∠A and m∠O are alternate interior angles so they're congruent.

m∠A = m∠O

m∠A = 65°

AM and SO are congruent sides

AM = SO

AM = 86

m∠S and m∠M are alternate interior angles so they're congruent.

m∠S = m∠M

m∠S = 60°

ON and NA are congruent sides.

ON = NA

ON = 75

m∡SNO, m∠S, and m∠O form a triangle so they should add up to 180°

m∡SNO + m∠S + m∠O = 180°

m∡SNO + 60 + 65 = 180

m∡SNO + 125 = 180

Subtract both sides by 125

m∡SNO = 55°

Hope that helped!

Answer:

The length of [tex]\overline {FH}[/tex] is;

D. 38 units

Step-by-step explanation:

The given parameters are;

The type of the given quadrilateral FGHI = Rectangle

The diagonals of the quadrilateral = [tex]\overline {FH}[/tex] and [tex]\overline {GI}[/tex]

The length of IE = 3·x + 4

The length of EG = 5·x - 6

We have from segment addition postulate, [tex]\overline {GI}[/tex] = IE + EG

The properties of a rectangle includes;

1) Each diagonal bisects the other diagonal into two

Therefore,  [tex]\overline {FH}[/tex] bisects [tex]\overline {GI}[/tex], into two equal parts, from which we have;

IE = EG

[tex]\overline {GI}[/tex] = IE + EG

3·x + 4 = 5·x - 6

4 + 6 = 5·x - 3·x = 2·x

10 = 2·x

∴ x = 10/2 = 5

From which we have;

IE = 3·x + 4 = 3 × 5 + 4 = 19 units

EG = 5·x - 6 = 5 × 5 - 6 = 19 units

[tex]\overline {GI}[/tex] = IE + EG = 19 + 19 = 38 units

[tex]\overline {GI}[/tex] = 38 units

2) The lengths of the two diagonals are equal. Therefore, the length of segment [tex]\overline {FH}[/tex] is equal to the length of segment [tex]\overline {GI}[/tex]

Mathematically, we have;

[tex]\overline {FH}[/tex] = [tex]\overline {GI}[/tex] = 38 units

∴ [tex]\overline {FH}[/tex] = 38 units.

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

it's false

I guess

have a nice day

Answer:

yeah same its just nice to have the person's presence their

Answer:

y=1/2x+2

Step-by-step explanation:

2=x 3=y slope=1/2

y=mx+b

3=1/2(2)+b

3=1+b

3-1=b

2=b

Answer:

can anyone help me with this problem plzzz

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Answer:

We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.

Hence, option B is correct.

Step-by-step explanation:

Given the points

Finding the slope between (2, -1) and (4, 5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)[/tex]

[tex]m=\frac{5-\left(-1\right)}{4-2}[/tex]

[tex]m=3[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (2, -1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-2=3\left(x-\left(-1\right)\right)[/tex]

[tex]y-2=3\left(x+1\right)[/tex]

Add 2 to both sides

[tex]y-2+2=3\left(x+1\right)+2[/tex]

[tex]y=3x+5[/tex]

So, y = 3x+5 is one of the equation lines.

We can also check by substituting the values m = 3 and the point (4, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - 5 = 3(x-4)

So, y - 5 = 3(x-4) is also one of the equation lines.

Now, let say take the point (4, 5) an substitute in y = 3x-11

y = 3x-11

put x = 4 and y = 5

5 = 3(4)-11

5 = 12-11

5  = 1

FALSE!

Hence, the equation y = 3x-11 does not pass through (4, 5). Thus, the equation y = 3x-11 is not an equation of the line that passes through the points.

Now, let say take the point (4, 5) an substitute in y+1 = 3(x-2)

y+1 = 3(x-2)

put x = 4 and y = 5

5+1 = 3(4-2)

6 = 3(2)

6 = 6

TRUE!

Now, let say take the point (2, -1) an substitute in y+1 = 3(x-2)

-1+1 = 3(2-2)

0 = 0

TRUE!

Thus, the equation y+1 = 3(x-2) is an equation of the line that passes through the points.

Now, let say take the point (2, -1) an substitute in y = 3x-7

y = 3x-7

put x = 2 and y = -1

-1 = 3(2) - 7

-1 = 6-7

-1 = -1

TRUE!

Now, let say take the point (4, 5) an substitute in y = 3x-7

y = 3x-7

put x = 4 and y = 5

5 = 3(4)-7

5 =  12-7

5 = 5

TRUE!

Thus, the equation y = 3x-7 is an equation of the line that passes through the points.

Conclusion:

We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.

Hence, option B is correct.

Answer:b

Step-by-step explanation:

Answer:

Answer:

Tens

PART B: 18

PART C: 24

Step-by-step explanation:

Answer:

y>2

Step-by-step explanation:

-3y-12<-6

-3y<6

y>2

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

Answer:

y>-2

Step-by-step explanation:

-3y-12<-6 (move the constant to the right)

-3y<-6+12 (calculate)

-3y<6 (divide both sides)

solution: y>-2

hope this helps!

Given that,

velocity, v = 7.8 ft/s

Radius, r = 1.25 ft

To find,

a. What is the acceleration of the bucket?

b. What is the velocity if the acceleration is 25 ft/sec²?

Solution,

(a) The centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}[/tex]

Put v = 7.8 ft/s and r = 1.25 ft

[tex]a=\dfrac{(7.8)^2}{1.25}\\\\=48.672\ ft/s^2[/tex]

(b) Put a = 25 ft/s² to find velocity.

[tex]v=\sqrt{ar} \\\\v=\sqrt{25\times 1.25} \\\\v=5.59\ ft/s[/tex]

Hence, this is the required solution.

Answer:

450

Step-by-step explanation:

790 × 150 = 13500

GCF = 30

13500/30 = 450

Answer:

x=-6,12

Step-by-step explanation:

Answer:

3,-2

Step-by-step explanation:

Answer:

b = -1

Step-by-step explanation:

-8b + 4 + 20b = -6b - 14

12b + 4 = -6b - 14

18b + 4 = -14

18b = -18

b = -1