A wise woman once said ,”400 reduced by twice my age is 262”. What is her age ?

Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

Answer:

AB || CE, so we have triangle DEO, two of whose angles are 100° and 26° (from point D, draw DE such that CD + DE = CE intersects BO). The third angle of this triangle measures 54°, so

x = 180° - 54° = 126°.

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The precipitate is formed when :

The percentage that chose purple is 33%. Therefore, the number of student that has there favourite colours as red is 469.

Percentage is a number or ratio that can be expressed as a fraction of 100.

The total number of student Abigail surveyed in the school is 700 students. She surveyed them about there favourite colours.

The student chose between red and purple colours.

33% said there favourite colours was purple.

Therefore,

number of student that chose purple = 33 / 100 × 700 = 231 student

The number of student favourite colour that was red = 700 - 231 = 469 students

learn more on percentage here: https://brainly.com/question/21555174

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when a transversal cuts two parallel lines, the alternate exterior angles are congruent.

In this scenario, angle ZCXP is an alternate exterior angle with respect to angles ZRYD and ZSYD. Since angle ZRYD is congruent to angle ZSYD, angle ZCXP is also congruent to angle ZRYD.

Therefore, the correct answer is A. ZRYD.

Answer:

this is your answer. i am not sure at all.

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

Answer:

y = - \(\frac{5}{3}\)

Step-by-step explanation:

6x - 3y = - 7 → (1)

2x + 3y = - 9 → (2)

multiplying (2) by - 3 and adding to (1) will eliminate x

- 6x - 9y = 27 → (3)

add (1) and (3) term by term to eliminate x

0 - 12y = 20

- 12y = 20 ( divide both sides by - 12 )

y = \(\frac{20}{-12}\) = - \(\frac{5}{3}\)

The answer is 10. Hope this helps.

Multiply the numbers

2/5 •(3-8)^2

Subtract (3-8)

2/5• (-5)^2

A negative base raised to an even power equals a positive

2/5• (5)^2

Reduce the expression with 5.

2•5

10

Answer:

X=0

y=2

therefore,

y=1x+2

2=1*0+2

2=2

The equation of the directrix for the parabola y = 18 · x² - 4 · x + 41 is y = 2935 / 72.

In this question we find the case of the equation of a parabola in standard form:

y = a · x² + b · x + c

Where:

This equation must be changed into vertex form:

y - k = C · (x - h)²

Where:

Where the vertex constant is:

C = 1 / (4 · p)

Where p is the distance between focus and vertex.

And the equation of directrix is:

y = k - 1 / (4 · C)

First, write the quadratic equation in standard form:

y = 18 · x² - 4 · x + 41

Second, use algebra properties until vertex form is obtained:

y = 18 · [x² - (2 / 9) · x + 41 / 18]

y = 18 · [x² - (2 / 9) · x + 1 / 81] + 18 · (367 / 162)

y = 18 · (x - 1 / 9)² + 367 / 9

y - 367 / 9 = 18 · (x - 1 / 9)²

Third, find the equation of the directrix:

y = 367 / 9 - 1 / (4 · 18)

y = 2935 / 72

To learn more on directrix on parabolae: https://brainly.com/question/21685473

#SPJ1

Answer:

Yes

Step-by-step explanation:

180/3 = 60

120/2 = 60

Just make it into a fraction and divide. They are driving 60 mph.

If you buy the toaster pastries at a discount store, you will pay about 44 cents for each package, and the best deal is to buy them from a bulk warehouse.

Based on the given information, we can determine the cost per package for toaster pastries at a discount store and identify the best deal among the options.

Looking at the second column of the table, we see that the entries for the discount store are "1 box with 8 packages".

In the third column, the corresponding cost for this option is "3 dollars and 50 cents".

To find the cost per package, we divide the total cost by the number of packages in the box.

Cost per package = Total cost / Number of packages

Cost per package = 3 dollars and 50 cents / 8 packages

To calculate this value, we convert the cost to decimal form:

3 dollars and 50 cents = 3.50 dollars

Now we can calculate the cost per package:

Cost per package = 3.50 dollars / 8 packages

Cost per package ≈ 0.4375 dollars ≈ 44 cents

Therefore, if you buy the toaster pastries at a discount store, you will pay approximately 44 cents for each package.

To determine the best deal among the options, we compare the cost per package for each location.

From the given information, we can see that the bulk warehouse offers the lowest cost per package with an entry of 54 cents.

Therefore, the best deal for buying toaster pastries is to purchase them from a bulk warehouse.

In summary, if you buy the toaster pastries at a discount store, you will pay approximately 44 cents per package.

However, the best deal is to buy them from a bulk warehouse, where the cost per package is lower at 54 cents.

For similar question on discount store.

https://brainly.com/question/31209059  

#SPJ8

The Slope intercept form of the line passing through a (3, 8) and perpendicular to BC is \(y = -\frac{5}{2}x + \frac{31}{2}\)

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\)  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line

Here,

A(3,8), B(7,5), and C(2,3)

Slope of BC = \(\frac{3 - 5}{2 - 7}\) = \(\frac{2}{5}\)

Slope of line perpendicular to this line = \(-\frac{5}{2}\)

The line passes through (3, 8)

Equation of required line

\(y - 8 =- \frac{5}{2}(x - 3)\\2y - 16 = -5x + 15\\2y = -5x + 15 +16\\2y = -5x + 31\\y = -\frac{5}{2}x + \frac{31}{2}\)

To learn more about equation of line in slope intercept form, refer to the link-

brainly.com/question/25514153

#SPJ1

We can see that that the size of the hypotenuse is 20.

A perfect 90-degree angle (a right angle) distinguishes a right triangle from other triangle types. The junction of the triangle's two perpendicular sides results in the formation of this angle.

Right triangles are important in mathematics and many real-world applications because they have unique properties and relationships between their sides and angles.

We know that;

a = 10 yd

b = 10√3

Then;

Hypotenuse would be obtained from the sine ratio;

Sin 30 = 10/c

c = 10/Sin 30

c = 10/0.5

c = 20

Learn more about right triangle:https://brainly.com/question/6322314

#SPJ1

Answer:

2.6

Step-by-step explanation:

If you divide a negative by a negative it is positive.

Sry if I get it wrong!

Answer:

(-8.84) / (-3.4) = 2.6

After finding the speed of both objects, we found that 264km travelled in 2 hours is the fastest of both.

What is meant by the speed of an object?

A thing's speed is the rate at which it covers a distance in a given amount of time. The object that moves quickly covers a greater distance in less time. On the other hand, items that move slowly cover a relatively small distance in a given period of time. As speed simply has no direction and only magnitude, it is a scalar quantity. The instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is equal to the distance travelled by the object divided by the duration of the period.

We are asked to find the speed of two different objects.

Object 1

Distance travelled = 264km

Time taken = 2 hours

Speed = distance/time = 264/2 = 132km/h

Object 2

Distance travelled = 585km

Time taken = 5 hours

Speed = distance/time = 585/5 = 117 km/h

From the above two speeds, we can see that object 1 travels 132km in one hour while object 2 only travels 117km in one hour.

Therefore after finding the speed of both objects, we found that 264km travelled in 2 hours is the fastest of both.

To learn more about the speed of an object, follow the link.

https://brainly.com/question/6504879

#SPJ1

Answer:

.75t=180

Step-by-step explanation:

75% of the book = 180

We're looking for 100%. (t)

Let's write a proportion.

\(\frac{75}{100} =\frac{180}{x}\)

Cross-multiply.

75(x)=180(100)

75x=18000

x = 240

The equation is:

.75t=180

Answer:

66.6%

Step-by-step explanation:

You have a 1/6 chance to roll any number. That is a 16.6% chance per number.

So, that means you have a 4/6 (2/3 simplified) probability of not rolling a one or two. That is a 66.6% chance.

[NOTE: The '6' at the end of '16.6%' and '66.6%' is a repeating decimal]

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

To know more about log refer here:

https://brainly.com/question/32621120

#SPJ11

In the case when ø21 and ø22 are unknown and can be assumed equal, we can calculate a pooled estimate of the population variance. This statement is True.

In the case where ø21 and ø22 are unknown and can be assumed equal, it is possible to calculate a pooled estimate of the population variance. This pooled estimate combines the sample variances from two groups or populations to obtain a more accurate estimate of the common variance. It assumes that the underlying variances in both groups are equal.

The pooled estimate of the population variance is calculated by taking a weighted average of the individual sample variances, with the weights determined by the sample sizes of the two groups. This pooled estimate is useful in various statistical analyses, such as t-tests or analysis of variance (ANOVA), where the assumption of equal variances is necessary.

However, it is important to note that the assumption of equal variances should be validated or tested before using the pooled estimate. If there is evidence to suggest unequal variances, alternative methods or adjustments may be necessary.

learn more about "variance":- https://brainly.com/question/9304306

#SPJ11

Answer:

\(f(x) = 10*(b)^x\)

Step-by-step explanation:

exponential function : \(y=a*(b)^x\)

where a = y intercept and b = factor ( what you multiply by )

looking at the table the y intercept is at (0,10) so a = 10

so we now have y = 10 * (b)^x

to find the factor we simply plug in one of the ordered pairs.

note that the ordered pair chosen does not effect the outcome

i chose (2,250)

we have y = 10 * (b)^x

(x,y) = (2,250)

250 = 10 * (b)^2

divide both sides by 10

25 = b^2

take the square root of both sides

5 = b

the final equation would be f(x) = 10 * (b)^x

I can help you with that problem i just did that on my own.

Answer:  B. (Leah did not have to provide collateral.)

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

\(\triangle ABD\sim \triangle ECD\)

\(\frac{AB}{EC}=\frac{BD}{CD}\)

Substitute the values

\(\frac{AB}{1.45}=\frac{31.65}{5.45}\)

\(AB=\frac{31.65\times 1.45}{5.45}\)

\(AB=8.42m\)

Hence, the height of the tree=8.42 m

After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

Learn more about National assembly here : -

https://brainly.com/question/9891529

#SPJ4

Answer:

3/4 and -5/3

Step-by-step explanation:

You were on the right track for the first question. Instead of addition, use subtraction for both the denominator and numerator.

-4 - 8 = -12

-10 - 6 = -16

-12/-16 can be simplified to 3/4. The slope is 3/4. As a decimal, the slope is 0.75.

____________________________________

2nd question:

3 - (-3) = 6

-1 - 9 = -10

-10/6 can be simplified to -5/3.

According to the question The rate at which the base is changing is 0 cm/min, as it remains constant.

To solve this problem, we can use the relationship between the area, altitude, and base of a triangle. The formula for the area of a triangle is given by:

Area = (1/2) * base * altitude

We are given that the altitude is increasing at a rate of 2.5 centimeters/minute and the area is increasing at a rate of 2.5 square centimeters/minute. We need to find the rate at which the base is changing.

Let's denote the altitude as h, the base as b, and the area as A. We have the following equations:

dA/dt = (1/2) * b * dh/dt   (differentiating the area equation with respect to time)

dh/dt = 2.5 cm/min   (given)

dA/dt = 2.5 cm^2/min   (given)

Now we can substitute the given values into the equations and solve for db/dt, the rate at which the base is changing:

2.5 = (1/2) * b * 2.5

2.5 = 1.25b

b = 2 cm

So, when the altitude is 8 centimeters and the area is 81 square centimeters, the base is 2 centimeters. Therefore, the rate at which the base is changing is 0 cm/min, as it remains constant.

To know more about altitude visit -

brainly.com/question/15458029

#SPJ11

Answer:

3x - y + 2y - x

First, you have to add/subtract together similar variables.

So 3x - 1x= 2x

and

2y - 1y= 1y

Now you put them back together: 2x - 1y

or

2x - y