through:(0,-3), slope=7/2

Answer:

x=4

Step-by-step explanation:

20x-5x=65-5

15x=60

x=60/15

x=4

Answer:

Step-by-step explanation:

In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.

Solution :

\( \longmapsto \: 20x + 5 = 5x +65\)

Step 1 : Subtracting 5 on both sides :

\( \longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}\)

On further calculations, we get :

\( \longmapsto \: 20x = 5x + 60\)

Step 2 : Subtracting 60 on both sides :

\( \longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}\)

On further calculations, we get :

\( \longmapsto \:20x - 60 = 5x\)

Step 3 : Transposing 5x to left hand side and -60 to right hand side :

\( \longmapsto \:20x - 5x = 60\)

On further calculations , we get :

\( \longmapsto \:15x = 60\)

Step 4 : Divide by 15 on both sides :

\( \longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ \frac{60}{15} }\)

On further calculations, we get :

\( \longmapsto \: \red{ \boxed{x = 4}}\)

Now, we are verifying our answer by substituting value of x in given equation :

Therefore , our answer is correct

We can be 98% cοnfident that the true difference in mean amοunt οf fοοd Buster eats when οffered Busted Nuggets and Busted Tenders is between -14.566 and -7.634 grams

Calculate the sample mean difference and the standard errοr οf the difference in οrder tο build the cοnfidence interval fοr the difference in the mean amοunt οf fοοd that Buster cοnsumes when served Busted Nuggets and Busted Tenders.

The sample mean difference is:

X1 - X2 = 152.6 - 163.7 = -11.1 grams.

The standard errοr οf the difference can be calculated as fοllοws:

SE = √(S1²/n1 + S2²/n2)

where S1 and S2 are the sample standard deviatiοns οf the twο grοups and n1 and n2 are the sample sizes.

Substituting the values, we get:

SE = √(4.45²/31 + 5.75²/31) = 1.463

ME = t x (SE) = 2.365 x 1.463 = 3.466

Finally, the cοnfidence interval fοr the difference in mean amοunt οf fοοd Buster eats is:

-11.1 - 3.466 < µ1 - µ2 < -11.1 + 3.466

-14.566 < µ1 - µ2 < -7.634

Hence, we have a 98% cοnfidence level that Buster actually cοnsumes between -14.566 and -7.634 grammes less fοοd οn average when given the chοice between Busted Nuggets and Busted Tenders. This periοd can be understοοd as Buster favοring Busted Tenders because οf the negative.

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Answer:

A

Step-by-step explanation:

3.5 + p = 7.5

Subtract from 3.5 from both sides.

p = 7.5 - 3.5

Simplify

p = 4

A is the number line that has the correct answer.

B(t) = 16 + 7t is the best equation that should be used to model the problem

We can see that the number of branches generally increases over time, but the rate of increase seems to slow down as time goes on. This suggests that an exponential model might not be appropriate, as exponential growth would imply a constant rate of increase over time.

Of the given options, the model that seems to best fit the data is B(t) = 16 + 7t. This is a linear model, which fits with the trend of the data that shows a steady increase in the number of branches over time.

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Answer:

13°F

Step-by-step explanation:

Given that,

Initial temperature = 56°F

Final temperature, = 56°F

We need to find the change in temperature. It is equal to the difference between final temperature and the initial temperature. So,

\(\Delta T=T_f-T_i\\\\\Delta T=43^{\circ}F-56^{\circ} F\\\\\Delta T = 13^{\circ} F\)

So, the change in temperature is 13°F.

Answer:

13°F

Step-by-step explanation:

Answer:

The answer is plant B will exceed plant A in two months at the height of 12 centimeters long.

Step-by-step explanation:

Rewrite plant A and B as a linear function

y=3x + 5

y=4x + 4

Then, let x represent the # of months

Next, try to increase the amount by one in both equations until plant B will exceed plant A

pls mark me as brainliest

Answer:

Proportional

Step-by-step explanation:

\(\frac{10}{24}= \frac{5}{12}\) the ratio is 2:1

5 x 2 = 10

12 x 2=24

The ratios are proportional.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

The given ratios are proportional

Step-by-step explanation:

To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;

\(\implies \dfrac{10}{24} = \dfrac{5}{12}\)

When using cross multiplication, we get;

\(\implies \dfrac{10}{24} = \dfrac{5}{12}\)

\(\implies 10 \times 12 = 24 \times 5\)

When simplified, we get;

\(\implies 10 \times 12 = 24 \times 5\)

\(\implies 120 = 120 \ \checkmark\)

Therefore, the relationship is proportional.

Answer:

Step-by-step explanation:

4%

Teresa spent 33.33 dollars.
The correct answer is A. 33.33.

Heather, Teresa, and Nina went shopping for new clothes. Heather spent twice as much as Teresa, and Nina spent three times what Heather spent. If they spent a total of 300, how much did Teresa spend?

To solve this problem, let's assign a variable to Teresa's spending. Let's say Teresa spent x dollars.

According to the information given, Heather spent twice as much as Teresa, so Heather spent 2x dollars.
Nina spent three times what Heather spent, so Nina spent 3 * 2x = 6x dollars.

The total amount spent is 300 dollars, so we can write the equation: x + 2x + 6x = 300.
Combining like terms, we get 9x = 300.

To find the value of x, we divide both sides of the equation by 9:

x = 300 / 9 = 33.33.

Therefore, Teresa spent 33.33 dollars.
The correct answer is A. 33.33.

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Answer:

137°

Step-by-step explanation:

By the exterior angle theorem, \(m\angle JKX=93^{\circ}+44^{\circ}=137^{\circ}\).

Answer:

10x^2+8x+3

Step-by-step explanation:

Answer:

10x^2 + 8x + 3

Step-by-step explanation:

Hope this helps.

Answer:

Step-by-step explanation:

7th term of the first sequence is 14

first we need to find out the nth term so,

tn=Ti+(n-1)d

2(n-1)2

2+2n-2

2n+2-2

2n+0

Now we need to find out the 7th term

n=7

2(7)-0

14-0=0

Second sequences 7th term is 33

first we need to find the nth term

1(n-1)3

1+3n-3

3n+1-3

3n-2

so now we need to find 7th term

3(7)-2

35-3

33

the 4th sequence 7th term is 20

Answer:

Step-by-step explanation:

A person that has 9 friends

Since 7+2=9

Answer:

3/-2-2

Step-by-step explanation:

this should be parrallel

The discount on the pair of shoes is approximately 14.29%.
In summary, the discount on the pair of shoes is approximately 14.29%.

To calculate the percentage discount, we need to find the difference between the original price and the discounted price. In this case, the original price of the shoes is $84 and the discounted price is $72.
To find the discount amount, we subtract the discounted price from the original price: $84 - $72 = $12.
Next, we need to find the percentage that the discount represents compared to the original price. We can do this by dividing the discount amount by the original price and multiplying by 100: ($12 / $84) * 100 ≈ 0.1429 * 100 ≈ 14.29%.
Therefore, the discount on the pair of shoes is approximately 14.29%. This means that the customer is getting a 14.29% reduction in price compared to the original cost of $84.

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Hence the answer is q < 4 is the solution to the inequality 7q - 3 (q+4) - 4 < 2 (4 -6q) + 10q by solving the inequality equation.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.

calculation

= 7q - 3 (q+4) - 4 < 2 (4 -6q) + 10q

= 7q - 3q - 12 - 4 < 8 - 12q + 10q

= 4q - 16 < 8 - 2q

= 4q + 2q < 8 + 16

= 6q < 24

= q < 4

hence the answer is q < 4 is the solution to the inequality 7q - 3 (q+4) - 4 < 2 (4 -6q) + 10q by solving the inequality equation.

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Total number of coins is 40 in his box.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Anthony has a coin collection.

He keeps 2 of the coins in his box, which is 5% of the collection.

Now,

Let number of coins in his bag = x

Then, we can formulate;

⇒ 5% of x = 2

⇒ 5/100 × x = 2

⇒ 5/100 = 2 / x

⇒ 1 / 20 = 2 / x

⇒ x = 2 × 20

⇒ x = 40

Thus, Total number of coins is 40 in his box.

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The required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

Gien expression,
= x³ - 6x² - x + 30
= (x - 5)(x + 2)(x -3)

Thus, the required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).

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Answer:

72.9 degrees

Step-by-step explanation:

First we need to calculate the hypothenuse with the teorem of Pythagoras. ZY = sqrt(13^2+4^2) = 13.6 cm. sqrt stands for square root.

The we calculate the cosine of our angle (we could use the sine but I'll use the cosine here, the method is a little different with the sine). For the cosine divide the adjacent side by the hypothenuse: 4/13.6 =0.294

then we use the cos^-1 function on the calculator , so cos^-1(0.294) =72.897 =72.9 degrees.

I hope this helped

The measure of angle of XYZ is 72.8° from the given triangle.

Given that, from the figure ZX=13 cm and XY=4 cm.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The crux of Trigonometry problems is that while some variables are provided, we have to find the remaining sides and angles of a triangle.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Using trigonometric ratios, we get

tanY=13/4

Y=72.89

≈72.8°

Therefore, the measure of angle of XYZ is 72.8° from the given triangle.

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Answer:

6.244 x 10^-1

Step-by-step explanation:

Answer:

\(135 + 4x + 5x = 180 \\ 9x = 180 - 135 \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5\)

Angle A will be

\(5 \times 5 = 25\)

=25°

Using the unit conversion of 1 gram = 1000 milligrams, one serving of gourmet ice cream has 25,000 milligrams of fat.

We have,

The concept used here is unit conversion.

We converted the quantity from grams to milligrams by multiplying it by the conversion factor between grams and milligrams, which is 1,000 milligrams per gram.

This is based on the fact that there are 1,000 milligrams in one gram.

To convert grams to milligrams, we need to multiply the number of grams by 1,000 since there are 1,000 milligrams in 1 gram.

So,

25 grams x 1,000 milligrams/gram

= 25,000 milligrams

Thus,

One serving of gourmet ice cream has 25,000 milligrams of fat.

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Answer:

Step-by-step explanation:

y= 1x-1

Slope= 1

Y intercept= -1

Answer:

Step-by-step explanation:

Slope m = (5 - 1) / (6 - 2) = 1

y - 1 = 1(x - 2)

y = x - 1 Slope intercept form of linear equation

y-intercept is ( - 1)

x - y = 1 Standard form of linear equation

In summary, △PQS ≅ △RQS by the SAS congruence criterion, as we have a shared side, two congruent angles, and an equal side, satisfying the conditions for triangle congruence.

Proof: To show that △PQS ≅ △RQS, we can use the following information: ∠QSP ≅ ∠QSR (Right angles)

S is the midpoint of PR¯¯¯¯¯ (Given)

PQ¯¯¯¯¯ ≅ QR¯¯¯¯¯ (Given)

QS¯¯¯¯¯ bisects ∠Q (Given)

Using these conditions, we can establish the congruence of the two triangles:

Since ∠QSP and ∠QSR are right angles, we have a common angle. Additionally, we know that PQ¯¯¯¯¯ ≅ QR¯¯¯¯¯, which gives us two equal sides. Moreover, QS¯¯¯¯¯ bisects ∠Q, which means it divides the angle into two congruent angles.

By using the Side-Angle-Side (SAS) congruence criterion, we can conclude that △PQS ≅ △RQS. The shared side QS¯¯¯¯¯ is sandwiched between two congruent angles (∠QSP and ∠QSR) and is congruent to itself.

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Answer:

4.78x

Step-by-step explanation:

how've 7,.8*x 3n by 6y is =4.78x

P(x)=(x-2)(3x² − 5x-12) is the the binomial that is a factor of the polynomial  P(x) = 3x³ − 11x² − 2x + 24

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is  P(x) = 3x³ − 11x² − 2x + 24.

Now we need to find the binomial that is a factor of the polynomial

Now let us use the rational theorem

P(x) = 3x³ − 11x² − 2x + 24

P(x)=(x-2)(3x³ − 11x² − 2x + 24)/x-2

P(x)=(x-2)(3x³ − 11x² − 2x + 24)/x-2

P(x)=(x-2)(3x² − 5x-12)

P(x)=(x-2)(3x² −4x+3x-12)

P(x)=(x-2)(3x(x-4)+3(x-4))

P(x)=(x-2)(3x+3)(x-4)

Hence, P(x)=(x-2)(3x² − 5x-12) is the the binomial that is a factor of the polynomial  P(x) = 3x³ − 11x² − 2x + 24

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Answer:

an hour would make it 10, then another 30 minutes added to the 30 would make it 11, so 11:06 pm

Step-by-step explanation:

Miguel takes 1.6 hours to cover the distance of 84.8 miles with the given speed of 53 miles per hour.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
In the question, we are given a speed = 53 miles per hour and the distance traveled with the given speed is 84.8 miles, we have to determine the time for the same distance.
We know that,
Speed = distance/time
Speed = 84.8 / 53
Speed = 1.6 hours

Thus, the required time evaluated is 1.6 hours.

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Answer:

The balloon contains 456.3 kg of helium

Step-by-step explanation:

Density=mass / volume

Volume=2600 cubic meters of helium

Density=0.1755 kilograms per cubic meters

Mass=x

Find mass, x

Density=mass / volume

Mass=Density × volume

=0.1755 * 2600

=456.3 kg

The balloon contains 456.3 kg of helium

Answer:

C = $13

A = $35

Step-by-step explanation:

The computation is shown below:

Let us assume the Adults be A

And children be C

So the first equation would be

65A + 56C = $3,003

And, the second equation is

86A + 62C = $3,816

Now multiply by 86 in equation 1 and 65 in equation 2

5,590A + 4,816C = $258,258

5,590A + 4,030C = $248,040

786C = 10,218

C = $13

And A is

65A + 56($13) = $3,003

65A + $728 = $3,003

65A = $3003 - $728

65A = $2,275

A = $35