Please help asap 15 pts for the correct answer with correct explanation!

Answer:

[tex]Dina= 35[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 4:2:5[/tex]

Peter = 14 more A's than Chris

Required

How many A’s did Dina get?

The order of the ratio is Peter: Chris: Dina

This implies that

[tex]Peter: Chris: Dina = 4:2:5[/tex]

Considering Peter and Chris

[tex]Peter: Chris = 4:2[/tex]

Let the number of Chris' A's be represented by A

This implies that:

Peter's = 14 + A

And as such;

[tex]14 + A : A = 4 : 2[/tex]

Convert ratio to division

[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]

Multiply both sides by A

[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]

[tex]14 + A = \frac{4}{ 2}* A[/tex]

[tex]14 + A = 2* A[/tex]

[tex]14 + A = 2 A[/tex]

Subtract A from both sides

[tex]14 + A-A = 2 A-A[/tex]

[tex]14 = A[/tex]

This means that;

Chris answered 14 while Pete answered 28 (14 + 14)

Considering Chris and Dana

[tex]Chris :Dana = 2:5[/tex]

Replace Chris with 14

[tex]14:Dana = 2:5[/tex]

Convert ratio to division

[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]

Cross Multiplication

[tex]Dina * 2 = 14 * 5[/tex]

Divide both sides by 2

[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]

[tex]Dina= \frac{14 * 5}{2}[/tex]

[tex]Dina= \frac{70}{2}[/tex]

[tex]Dina= 35[/tex]

Hence, Dina had 35 A's

Answer:

w = 17 fts

l = 32 fts

Step-by-step explanation:

P = 2w + 2l

l = 2w - 2

98 = 2w + 2(2w - 2)

98 = 2w + 4w - 4

98 + 4 = 6w

6w = 102

w = 17 fts

l = 2×17 - 2 = 34 - 2 = 32 fts

Answer:

Proportion of blue marbles in in sample = 9/40

Step-by-step explanation:

Total number of blue marbles in a jar is given by 25%

Lets find the probability of blue marble in the jar of the given sample:

Proportion of blue marbles in in sample = Total number of blue marbles in sample/ Total number of marbles in sample

Where

Total number of blue marbles in sample = 9

Total number of marbles in sample = 9 + 15 + 16

Total number of marbles in sample = 40

SO

Proportion of blue marbles in in sample = 9/40

or

Proportion of blue marbles in in sample = 9/40

Answer:

1/16

Step-by-step explanation:

multiply by 1/2

1, 1/2, 1/4 , 1/8, 1/16

Answer:

1/16

Step-by-step explanation:

If you see the pattern it goes by x2 (the denominator)

1 , 1/2, 1/4, 1/8, 1/16

Answer:

RT is 6.95 units long

Step-by-step explanation:

Use tan to find the unknown measurement

tan 41 = x/8     Simplify

0.8692 = x/8  Multiply both sides by 8

6.9536 = x

Answer:

Step-by-step explanation:

Common ratio = 2nd term/1st term = 4/-16 = -1/4

[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]

Answer:

Common ratio = 2nd term/1st term = 4/-16 = -1/4

Step-by-step explanation:

Answer:

Show one example of his claim, adding two odd numbers to form an even number

Answer:

C.

Step-by-step explanation:

You cannot prove his conjecture by an example. You must create two generic odd numbers using algebraic expressions. Then you add the two expressions and show that the sum is even.

Answer: C.

Answer:

5

Step-by-step explanation:

March,May,June,July,August

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)

Step-by-step explanation:

1) MNOP is a parallelogram: Reason; Given

2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram

3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.

4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram

5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.

6)  [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property

7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem

8)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).

Also we have;

9)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent

Answer:

y = -4x - 13

Step-by-step explanation:

Use point - slope form to convert to y = mx + b form

1. Find the slope using y2 - y1 / x2 - x1

    3 + 5 / -4 + 2

    m = -4

2. Plug into point - slope form: y - y1 = m (x - x1)

    y + 5 = -4 (x + 2)

    Distribute

    y + 5 = -4x - 8

    Subtract 5 from both sides

    y = -4x - 13

Answer:

72

Step-by-step explanation:

Step 1: Figure out percentages of what he owns

360(0.4) = 144 models he made

360 - 144 = 216 models he bought.=

Step 2: Figure out percentages of what he donated

144(0.25) = 36 models he donated (he made)

216(0.5) = 108 models he donated (he bought)

Step 3: Find the difference

108 - 36 = 72

And we have our answer!

Answer:

It'll take approximately 34 years from today.

Step-by-step explanation:

in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:

[tex]A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729[/tex]

We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:

[tex]100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22[/tex]

It'll take approximately 34 years from today.

Answer:

[tex]19( 42+ 58)[/tex]

Step-by-step explanation:

[tex]19 \cdot 42+19 \cdot 58\\[/tex]

The common factor is 19

[tex]19( 42+ 58)[/tex]

Answer:

A

Step-by-step explanation:

dont know how explain.

Answer: The vertex of the function is (-1, -7).

Step-by-step explanation: We are given to find the vertex of the following function.

We know that the vertex of the function is given by (h, k).

So, for the given function f(x), the vertex will be (-1, -7).

The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).

Thus, the vertex of the function is (-1, -7).

The vertex of the function  f(x) = |x + 1| - 7 is (-1,-7)

The function is given as:

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

The above function is an absolute value function

An absolute value function is represented as:

f(x) = a|x – h| + k

Where, the vertex is (h,k)

So, we have:

(h,k) = (-1,-7)

Hence, the vertex of the function  f(x) = |x + 1| - 7 is (-1,-7)

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Answer:

Independent variable = t

Dependent variable = N

Step-by-step explanation:

Given that the function N(t)=100+15t represents the relation between the number of unread emails, N, and the time, t, measured in days

The independent variable is an input which can be controlled. In the function

N(t)=100+15t

The independent variable is t

While the dependent variable is the output of a function when independent variable has been substituted.

In the function N(t)=100+15t

The number of unread messages depends on the number of time t measured in days as the number of unread messages N is a function of t.

Therefore, the independent variable is N.

Answer:

About 2.7 feet

Step-by-step explanation:

The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side:

[tex]\tan 44=\dfrac{x}{2.8}\\\\x=2.8 \cdot \tan 44\approx 2.7[/tex]

Hope this helps!

Answer:

x = 2.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 44 = [tex]\frac{x}{2.8}[/tex]      Simplify

0.9657 = [tex]\frac{x}{2.8}[/tex]    Multiply both sides by 2.8

x = 2.70396    Round this answer to the nearest tenth of a foot

x = 2.7 feet

Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]

Answer:

10% of the people at the picnic are neither.

Step-by-step explanation:

To get the answer,

1/2 + 2/5 = 9/10

10/10 - 9/10 = 1/10

1/10 = 10%

Thanks, I hope I got this right!

Answer:

Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm

Hope this helped you!

Step-by-step explanation:

Answer:

  5

Step-by-step explanation:

The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.

If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.

In the given range, there are 5 such boards:

  4×4, 8×8, 12×12, 16×16, and 20×20

Answer:

-7

Step-by-step explanation:

[tex]x^2+x+2=0 \\\\b^2-4ac= \\\\1^2-4(1)(2)= \\\\1-8= \\\\-7[/tex]

Hope this helps!

The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

x² + x + 2 = 0

The discriminant of a quadratic equation of the form ax² + bx + c = 0 is,

Discriminant = b² - 4ac

Here, a = 1, b = 1 and c = 2

Substituting,

Discriminant = 1² - (4 × 1 × 2)

                     = 1 - 8

                     = -7

Hence the discriminant of the given equation is -7.

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Answer:

Step-by-step explanation:

5x3= 15

8x9=72

12x11=132

14x17=138

9x17=153

15+72+132+138+153=510

510/50=10.2= mean

Answer:

Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The slope stays the same but the y-intercept is moved up 7 units.

Answer:

£4 and £6

Step-by-step explanation:

Total = £10

Ratio = 2:3

Total Parts = 2+3 = 5

Divide it by the Total

=> 10/5 = £2

Multiply it by the ratios

1) 2 * 2 = £4

2) 3 *2 = £6

Answer:

4:6

Step-by-step explanation:

2+3=5

10/5=2

3x2= 6

2x2=4

4:6

Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well

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

Explanation:

P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55

Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.

The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".

We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.

Answer:

1.08

Step-by-step explanation:

1.01 < x < 1.17

x ≠ 1.20

x ≠ 1.008

x = 1.08

x ≠ 1.18

x ≠ 1.8

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

Option C is the correct answer.

We have,

To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.

Among the given options, the number that satisfies this condition is 1.08.

Thus,

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

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Answer:

[tex] \frac{2x - 5}{x + 5} [/tex]

Step-by-step explanation:

Firstly, you have to factorize the expressions on the numerator and denorminator :

Numerator :

[tex]2 {x}^{2} - 3x - 5[/tex]

[tex] = 2 {x}^{2} + 2x - 5x - 5[/tex]

[tex] = 2x(x + 1) - 5(x + 1)[/tex]

[tex] = (2x - 5)(x + 1)[/tex]

Denorminator :

[tex] {x}^{2} + 6x + 5[/tex]

[tex] = {x}^{2} + x + 5x + 5[/tex]

[tex] = x(x + 1) + 5(x + 1)[/tex]

[tex] = (x + 1)(x + 5)[/tex]

Next, you have to put the factorized-form in the fraction and cut out the similar expressions :

[tex] \frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)} [/tex]

[tex] = \frac{2x - 5}{x + 5} [/tex]