if 8 times a number is increased by 3 the result is 19 more than 6 times this number find the number

Answer:

(1)

Karen: [tex]y = 2x +3[/tex]

Alice: [tex]y = 2x +1[/tex]

(2): Slope is 2

(3) y intercept

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) They do not intersect

(5) No solution

(6) No

Step-by-step explanation:

Given

[tex]x = loaves[/tex]

[tex]y = amount[/tex]

Solving (1): Complete the equation.

For Karen:

[tex]m = 2[/tex] --- the rate

[tex]b = 3[/tex] --- additional spendings

For Alice:

[tex]m = 2[/tex] --- the rate

[tex]b = 1[/tex] --- additional spendings

The general equation is;

[tex]y = mx +b[/tex]

For Karen, it becomes

[tex]y = 2x +3[/tex]

For Alice, it is:

[tex]y = 2x +1[/tex]

(2): The slopes.

In (1), we have:

[tex]m = 2[/tex] --- the rate (for both Karen and Alice).

This rate implies the slope.

Hence, the slope is 2

(3): The y intercept.

The additional spendings in (1) means the y intercept.

So, we have:

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) Because they have the same slope, they do not intersect

(5) Number of solutions.

[tex]y = 2x +3[/tex]

[tex]y = 2x +1[/tex]

Subtract both equations

[tex]y-y = 2x-2x +3-1[/tex]

[tex]0 = 2[/tex]

This means there is no solution

(6) Can they spend the same amount on the same number of loaves

In (5), the equations have no solution

Hence, it is not possible to spend the same amount for the same number of loaves

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]

[tex]P(S) = \dfrac{21}{56}[/tex]

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

9514 1404 393

Answer:

  1. a, b, c - represent growth

  2. b, c, d - represent decay

Step-by-step explanation:

If increasing x results in a larger value, the function represents growth. If it results in a smaller value, the function represents decay.

__

To answer these questions, you can look at the base and the exponent. When we say "exponent" here, we mean the coefficient of the exponent variable. There are four possibilities:

  growth:

  decay:

__

Growth questions:

  1.77^x -- growth

  1.5^(x/2) -- growth

  0.5^(-x) -- growth (= 2^x)

  e^(-t) -- decay (e ≈ 2.718)

Decay questions:

  1.7^x -- growth

  1.7^(-2x) -- decay

  (1/3)^x -- decay (= 3^(-x))

  2^(-x) -- decay

Answer:

2h-2=92 and h-2=92-h.

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).

As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,

[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]

Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

Step-by-step explanation:

2/Sin(105) = c / sin(15)

2 * sin(15) = c * sin(105)        Divide by Sin(105)

2 * sin(15)/Sin(105) = c

2 * 0.2679  = c

c = 0.539

c = 0.5

Answer:

Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake

Step-by-step explanation:

Answer:

8 pies.

Step-by-step explanation:

Answer:

3 2/5

I converted these into decimals, because I find it easier ^.^

We have an 8 feet board, and we twice remove 2 1/3 from that number.

8 - 2 1/3 = 5.7

5.7 - 2 1/3 = 3.4 or 3 2/5

~Hope this helps~

Multiply 120 by 18%

Change 18% to a decimal: 0.18

120 x 0.18 = 21.6

Answer: 21.6

Answer:

D.) Domain: 0≤x≤16

The domain represents the set of all possible inputs - the times when depth was measured

Step-by-step explanation:

Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.

In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.

Domain ranges from 0 to 16. Thus:

Domain: 0 ≤ x ≤ 16

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer: A

Step-by-step explanation: both triangle have a congruent side, angle, and second side

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

Answer:

is y=5/7x+2,y=5/7x-30 parell or perpendicular

It's parallel

Answer:

160

Step-by-step explanation:

Rectangle = 10x15=150

Triangle = 1/2x5x4=10

150+10=160

Step-by-step explanation:

Area of rectangle = width × length

= 10 × 15 = 150 cm²

The height of triangle = 14 - 10 = 4 cm

Area of triangle = 1/2 × base × perpendicular height

= 1/2 × 5 × 4

= 10 cm²

Area of this figure = area of rectangle + area of triangle

= 150 + 10 = 160 cm²

Rectangle

Just finished the post test right now.

Answer:

2. 38

3. 12

5. 7

9. 13

Answer:

We know,

Area of triangle = 1/2 * b * h

= 1/2 * 2x * 3x

= 1/2 * 6x

= 3x

Hope it helped

All the best !!

The area of the given triangle is 3x².

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given a triangle.

Area of a triangle can be found using the formula,

Area = [tex]\frac{1}{2}[/tex] × base × height

Given,

Base = 3x and height = 2x

So using the formula,

Area = [tex]\frac{1}{2}[/tex] × 3x × 2x

        = 3x × x

        = 3x²

Hence the area of the triangle is 3x².

Learn more about Area of Triangle here :

https://brainly.com/question/27683633

#SPJ2

Answer:

Prob = 20/52

Step-by-step explanation:

There are 5 even number cards per suit: 2, 4, 6, 8, and 10.

and there are 4 suits in a deck, so the total of the even number card events is 5 * 4 = 20

Given that the deck has 52 cards total, then the probability of drawing an even numbered card is the number of successes (20) divided the number of total cards (52) This gives:

Prob = 20/52

which agrees with answer A) in your list.

Answer:

The distance between the points

d = LM = 10.24

Step-by-step explanation:

Step(i):-

Given that the points are L ( 7,-1) and M (-2,4)

The distance formula

  LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

Step(ii):-

[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]

LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]

LM = √106

LM = 10.29

The distance between the points

d = LM = 10.24

Answer:

The answer is -3x + 3

9514 1404 393

Answer:

  14(x +5)

Step-by-step explanation:

The denominator of the first expression is ...

  2x+10 = 2(x +5)

The denominator of the second expression is ...

  7x +35 = 7(x +5)

The least common denominator (LCD) is the product of the unique factors in these denominators:

  2×7×(x +5)

  = 14(x +5) . . . . least common denominator

  = 14x +70

Answer:

7

Step-by-step explanation:

the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes

By the given ratio, Number of pennies does Jamey have are 7.

"A ratio compares values. A ratio says how much of one thing there is compared to another thing."

According to the question

Jamey has 4 quarters, some dimes, and some pennies.

Ratio of quarters to dimes is 8:6

So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]

⇒ [tex]8d = 6(4)[/tex]

⇒ [tex]d=\frac{6}{2}[/tex]

⇒ [tex]d=3[/tex]

Ratio of pennies to dimes is 7 : 3

So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]

By substituting d = 3

⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]

⇒ [tex]p = \frac{7}{3}(3)[/tex]

⇒ [tex]p =7[/tex]

Hence, number of pennies does Jamey have are 7.

Learn more about ratio here

https://brainly.com/question/10167786

#SPJ2

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

[tex]Red = 1\frac{2}{3}[/tex]

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

Convert to division

[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

me kuch nhi karunga

Answer:

11+3z

Step-by-step explanation:

You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z

Answer:

Explanation:

9 − 3z + 4 + 6z − 2

-3z + 6z + 9 + 4 - 2

3z + 9 + 4 - 2

Answer: 7.83 years

:)))

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

The top of the ladder is 3.7088 m away from the ground.

The bottom of the ladder is 1.5 m away from the wall.

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

Angle = 68 degree

Hypotenuse = 4 m

Now, using Trigonometry

sin 68 = P/ H

0.9272 = P/ 4

P = 3.7088 m

Thus, the top of the ladder is 3.7088 m away from the ground.

Now, using Pythagoras theorem

H²= P² + B²

4² = (3.7088)² + B²

16 = 13.75 + B²

B² = 2.25

B= 1.5 m

Thus, the bottom of the ladder is 1.5 m away from the wall.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

14 dimes and 4 quarters

Step-by-step explanation:

x= number of dimes

y=number of quarters

x-10=y

0.10x+0.25y=2.40

substitute for y

0.10x+0.25(x-10)=2.40

0.35x-2.50=2.40

0.35x=4.90

x=14

y=4