There are spiders and dogs in Veronica's backyard. Veronica sees 240 legs in total. The total number of animals (spiders and dogs) is 3 times the amount of spiders. How many spiders are in the backyard?

Answers

Answer 1

There are 15 spiders in the backyard. The correct option is D

To solve this problem

Let's begin by resolving the issue using algebra. Let's use "s" for the quantity of spiders and "d" for the quantity of dogs in the backyard.

As a result of the difficulty, we know that there are 3 times as many animals as there are spiders.

s + d = 3s

Simplifying this equation, we get:

d = 2s

We also know that there are 240 legs in the backyard, with each dog having 4 legs and each spider having 8. Thus, we can create the following equation:

8s + 4d = 240

Substituting d = 2s, we get:

8s + 4(2s) = 240

Simplifying and solving for s, we get:

16s = 240

s = 15

Therefore, there are 15 spiders in the backyard.

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Related Questions

. The formula 9x - 5y = -160 relates the
temperature in degrees Fahrenheit y to
the temperature in degrees Celsius x.
Tell whether the relationship is a direct
variation. Explain your answer.

Answers

The given formula 9x - 5y = -160 is not in the form of direct variation.

Calculating the type of variation

The given formula 9x - 5y = -160 relates the temperature in degrees Fahrenheit y to the temperature in degrees Celsius x.

To determine whether the relationship is a direct variation or not, we need to consider the definition of direct variation.

A relationship is said to be a direct variation if one variable is a constant multiple of the other variable, i.e., y = kx or x = ky, where k is a constant of proportionality.

However, the given formula is not in the form of direct variation. It is a linear equation in two variables, and there is no constant of proportionality present.

Hence, we can conclude that the given relationship is not a direct variation.

Answers

The number of cups of sugar that are there for each cup of flour would be = 1/2 cup of sugar.

How to calculate the number of cups of sugar for each cup of flour?

The recipe contains sugar of = 3 cups

The recipe contains flour of = 6 cups

If 3cups sugar = 6 cups of flour

X cups sugar = 1 cup of flour

make X the subject of formula;

X = 3×1/6

X = 3/6 = 1/2

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Evander Holyfield (the champion boxer who had part of his ear bitten off by Mike Tyson) made $290 million during his boxing career but declared bankruptcy because of poor financial choices. His July interest at 18% was $248. What was Evander’s principal at the beginning of July? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)

Answers

Evander's principal at the beginning of July was approximately $16,533. Rounded to the nearest whole dollar, this is $16,533.

How do we calculate?

Applying the formula for simple interest:

Interest = Principal x Rate x Time

Here, we know the interest ($248), the rate (18%), and the time (1/12 of a year for one month, since we're using a 360-day year).

Let the principal = "P":

$248 = P x 0.18 x (1/12)

$248 = P x 0.015

P = $248 / 0.015

P ≈ $16,533.33

Simple interest is described as an interest charge that borrowers pay lenders for a loan.

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If the point (1,5) lies on a circle with center (0,0), determine which point in quadrant 2 that also lies on the circle.

Answers

Answer:

If the point (1,5) lies on a circle with center (0,0), then the radius of the circle is the distance from the center to the point (1,5), which is:

r = sqrt((1-0)^2 + (5-0)^2) = sqrt(26)

So the equation of the circle is:

x^2 + y^2 = 26

To find a point in quadrant 2 that lies on the circle, we need to find a point with a negative x-coordinate and a positive y-coordinate that satisfies this equation.

Among the given options, only (a) (-5,1) and (e) (-2,3) have a negative x-coordinate. Let's check if they satisfy the equation of the circle:

For point (a) (-5,1):

x^2 + y^2 = 26

(-5)^2 + 1^2 = 26

25 + 1 = 26

This point does not lie on the circle.

For point (e) (-2,3):

x^2 + y^2 = 26

(-2)^2 + 3^2 = 26

4 + 9 = 26

This point also does not lie on the circle.

Therefore, among the given options, there is no point in quadrant 2 that lies on the circle.

Step-by-step explanation:

since the center of the circle is at the origin, that means that the circle is evenly going through all four quadrants - one quarter arc after the other.

the point (1, 5) is in the first quadrant (upper right one, positive x, positive y).

the circle arc in the second quadrant (upper left one, negative x, positive y) is the mirrored image of the arc in the first quadrant across the y-axis.

so, the point on it gets mirrored too.

that means, it's coordinates are then the same y and the x is converted to its negative value :

(-1, 5)

that is the easily identifiable point in the second quadrant that has to be on the circle.

Description of the circumscribed angle

Answers

A circumscribed angle is an angle that has its vertex on the circumference of a circle and whose sides are chords of the circle. The measure of a circumscribed angle is equal to half the measure of the intercepted arc. Circumscribed angles are important in geometry because they are used to prove theorems about angles, chords, and arcs in circles. The opposite angles of a cyclic quadrilateral are always supplementary, and the sum of the angles in a cyclic polygon is always equal to (n-2)180 degrees, where n is the number of sides of the polygon.

Angle a is a circumscribed angle on circle o so this is angle a right over here then when they say it's a circumscribed angle that means that the two sides of the angle are tangent to the circle.

A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate, how many cups of sugar should be used if 5 cups of flour included?

Answers

According to the given information, if 5 cups of flour are used in the recipe, we should use 5/3 cups of sugar.

What is multiplication?

Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. It is a way of repeatedly adding a number to itself a certain number of times. The number being multiplied is called the multiplicand, while the number of times it is being multiplied is called the multiplier. The result of the multiplication operation is called the product

According to the given information:

If the recipe requires 2 cups of flour for every 2/3 cups of sugar, we can write this relationship as:

2 cups of flour : 2/3 cups of sugar

To find out how many cups of sugar should be used if 5 cups of flour are included, we can set up a proportion:

2 cups of flour / 2/3 cups of sugar = 5 cups of flour / x cups of sugar

where x is the number of cups of sugar we want to find.

To solve for x, we can cross-multiply:

2 cups of flour * x cups of sugar = 2/3 cups of sugar * 5 cups of flour

2x = (2/3) * 5

2x = 10/3

x = 5/3

Therefore, According to the given information, if 5 cups of flour are used in the recipe, we should use 5/3 cups of sugar.

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A car is purchased for $19,500. After each year, the resale value decreases by 20%. What will the resale value be after 3 years? Use the calculator provided and round your answer to the nearest dollar.

Answers

The resale value of the car after 3 years is $9,984.

How to find the resale value after 3 years?

Since the resale value decreases by 20%. Thus, the resale value of the car will be 80% of its original value.

After the first year, the resale value of the car will be 80% of its original value:

Resale value after 1 year = 80/100 * $19,500 = $15,600

After the second year, the resale value of the car will be 80% of its value after the first year:

Resale value after 2 years = 80/100 * $15,600 = $12,480

After the third year, the resale value of the car will be 80% of its value after the second year:

Resale value after 3 years = 80/100 * $12,480 = $9,984

Therefore, the resale value of the car after 3 years will be $9,984.

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Write an equation of the line below.

Answers

What line are you talking about

1. The relationship between distance
measured on a map and the actual
distance on the ground
A. A sketch
B. A statement
C. Layout
D. Scale
What if the correct answer

Answers

Answer: A Map Scale.

Step-by-step explanation:

A Map Scale is the relationship with the ground.

D. Scale

The definition given in the question is referring to the concept of "scale" in cartography. Scale is the ratio between the distance on a map and the actual distance on the ground, and it is an important consideration when creating and using maps. Therefore, the correct answer is D. Scale.

1 1 Jemima has three boxes with a total weight of 51 kg. Box B weighs 5 kg more than box A and box C weighs 3 kg more than box B. Ch the correct statement. Select one: a. Box C weighs 21 O b. O c. kg. 30 1 Box A weighs 42 kg. 1 Box B weighs 12 kg. O d. 5 Box A weighs 17 kg.

Answers

On solving the question, we can say that Therefore, none of the answers to the question's assertions are true.

What is equation?

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Let's use "x" to symbolise box A's weight. Then, we could type:

Given that box B weighs 5 kg more than box A, its weight is "x + 5".

Given that box C weighs 3 kg more than box B, its weight is calculated as "x + 5 + 3" = "x + 8".

We can write: Since we are aware that the combined weight of the three boxes is 51 kg:

[tex]x + (x + 5) + (x + 8) = 51\\3x + 13 = 51\\3x = 38\\x = 12.67\\[/tex]

Therefore, box A weights around 12.67 kg. The weights of boxes B and C may also be ascertained using the equations we discovered earlier:

17.67 kg (x + 5) is the estimated weight of Box B.

The approximate weight of Box C is 25.67 kg (x + 8).

Therefore, none of the answers to the question's assertions are true.

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The value of y is directly proportional to the value
of x. If x = 8, then y = 12. What is the value of x when y = 30?

Answers

Answer:

If the value of y is directly proportional to the value of x, we can use the formula for direct variation to find the value of x when y = 30. The formula for direct variation is:

y = kx

where k is the constant of proportionality.

To find the value of k, we can use the values given in the problem:

y = kx

12 = k(8)

Solving for k, we get:

k = 12/8 = 3/2

Now that we know k, we can use the formula for direct variation to find the value of x when y = 30:

y = kx

30 = (3/2)x

Solving for x, we get:

x = (30)/(3/2) = 20

Therefore, when y = 30, x = 20

Work backwards, using the Distributive Property, to check the factors and identify the original polynomial of this factored function: (2 + 5)( + 7)

Answers

To work backwards and identify the original polynomial from its factored form using the Distributive Property, we need to multiply the factors together.

Using the Distributive Property, we can multiply the first term of the first factor by each term in the second factor, and then add the results:

(2 + 5)(x + 7) = 2(x) + 2(7) + 5(x) + 5(7)

Simplifying this expression, we get:

(2 + 5)(x + 7) = 2x + 14 + 5x + 35

Combining like terms, we get:

(2 + 5)(x + 7) = 7x + 49

Therefore, the original polynomial that was factored as (2 + 5)(x + 7) is 7x + 49.

What expression is equivalent to 4- 1/3-7/8+1/6?
A. 6/24-8/24-21/24+4/24?

Answer for brainliest. Don't care if its wrong.

Answers

The simplified form of the expression is 71/24.

What is the simplified form?

To simplify the expression 4 - 1/3 - 7/8 + 1/6, we can follow the order of operations, which dictates that we perform multiplication and division before addition and subtraction.

Here's the step-by-step solution:

Find a common denominator for the fractions involved. In this case, the least common denominator (LCD) is 24, which is the least common multiple of 3, 8, and 6.

Convert the fractions to have the same denominator, which is 24:

4 - 1/3 - 7/8 + 1/6

= 4 * 24/24 - 1/3 * 8/8 - 7/8 * 3/3 + 1/6 * 4/4 (Multiplying each fraction by the appropriate form of 1 to get the common denominator)

= 96/24 - 8/24 - 21/24 + 4/24 (Performing the multiplication)

Combine the numerators over the common denominator:

= (96 - 8 - 21 + 4)/24 (Combining numerators)

= 71/24 (Performing the subtraction)

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50 points! Multiple choice algebra question. Gilda used the formula f(x) = x/144 to convert square inches to square feet. Find the inverse of f(x). Photo attached. Thank you,

Answers

To find the inverse of f(x), we need to switch x and f(x) and solve for x:

x = f(f^(-1)(x))

In this case, f(x) = x/144, so we have:

x = f(f^(-1)(x))
x = (f^(-1)(x))/144

Simplifying for f^(-1)(x), we multiply each side by 144:

144x = f^(-1)(x)

Therefore, the inverse of f(x) is:

f^(-1)(x) = 144x

Lauren works at a reception hall and is setting tables for a retirement party. She takes a basket of 98 soup spoons, and she places 8 soup spoons on every table she sets.
Write an equation that shows how the number of soup spoons remaining, y, depends on the number of tables Lauren sets, x.
y=

Answers

The equation that shows how the number of soup spoons remaining, y, depends on the number of tables Lauren sets, x, is:

y = 98 - 8x

The initial number of soup spoons, 98, is reduced by 8 for each table Lauren sets. Therefore, the number of soup spoons remaining after x tables have been set is 98 - 8x.

PLEASE HELP! An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1200, determine the probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error. The probability is what?
(Round to three decimal places as needed.) Thanks!

Answers

The probability that the mean tariff rate of 400 randomly selected railroad-car shipments of ethanol will be within $80 of the mean tariff rate of all railroad-car shipments of ethanol is: 0.305.

The interpretation and how to arrive at the propability

The interpretation of the statement that the probability of the sample mean being within $80 of the population mean is 0.305 is that if we take multiple samples of 400 ethanol railroad-car shipments, about 30.5% of the time, the sample mean tariff rate will be within $80 of the population mean tariff rate.

To arrive at the propability, we will first list the data as follows:

Standard deviation of tariff rates, σ = $1200

Sample size, n = 400

Margin of error, E = $80

Standard deviation of sample mean = σ/√n = 1200/√400 = 60

To find the probability, we need to calculate the z-score for the margin of error.

z = E / standard deviation of sample mean = 80 / 60 = 4/3.

When we use the standard normal distribution table, we will arrive at the probability of a z-score between -1.33 and 1.33. This probability is approximately 0.305.

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A carpenter has two different-sized circular saws. The smaller saw has the radius shown. The larger saw has a diameter that is 1.5 inches greater than the diameter of the smaller one.

How much greater is the circumference of the larger saw than the smaller saw? Use 3.14 for π
.

Answers

If the radius of smaller-saw is 1.25 in, and radius of larger-saw is 2 inches, then larger-saw is 4.71 inches greater the smaller-saw.

The "Circumference" of a circle is defined as the distance around the boundary of a circle, it is also called perimeter of circle;

The diameter of the smaller saw can be calculated as:

⇒ diameter = 2 × radius = 2 × 1.25 inches = 2.5 inches;

The diameter of the larger saw is 1.5 inches greater than the diameter of the smaller saw, which means,

⇒ diameter of larger saw = diameter of smaller saw + 1.5 inches,

⇒ diameter of larger saw = 2.5 inches + 1.5 inches = 4 inches;

So, Circumference of circle is = 2 × π × radius;

The Circumference of "smaller-saw" = 2 × 3.14 × 1.25 inches,

⇒ circumference of smaller saw = 7.85 inches;

circumference of "larger-saw" = 2 × 3.14 × 2 inches

⇒ circumference of larger saw = 12.56 inches;

The difference in circumference between the two saws is:

⇒ circumference of larger saw - circumference of smaller saw

⇒ 12.56 inches - 7.85 inches = 4.71 inches;

Therefore, the circumference of the larger saw is 4.71 inches greater than the circumference of the smaller saw.

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The given question is incomplete, the complete question is

A carpenter has two different-sized circular saws. The smaller saw has the radius as 1.25 inch. The larger saw has a diameter that is 1.5 inches greater than the diameter of the smaller one.

How much greater is the circumference of the larger saw than the smaller saw? Use 3.14 for π

4/7 of the length of a car ride is 8 miles. How many miles is the whole car ride ?

Answers

4/7 = 8

7/7 = ?

so ? = 7/7 * 8 /4/7 = 8/4/7 = 8 *7/4 = 4*2*7 /4 = 2*7 = 14

so whole thing is 14

let's check : 14 * 4/7 = 56/7 = 8

Match initial data. answer is correct.

Help please i dont remeber how to do this

Answers

Answer:

-20

Step-by-step explanation:

[tex]\frac{5}{3}x +\frac{1}{3} x=13\frac{1}{3}+\frac{8}{3}x\\\\\frac{6}{3} x = 13 \frac{1}{3} +\frac{8}{3} x\\\\\frac{-40}{3} =\frac{2}{3} x\\\\\frac{3}{2} *(\frac{-40}{3} )\\\\\frac{3}{2} *\frac{2}{3} x\\\\-20 = x[/tex]

The distance of 15 miles on a map is represented by 2 inches.
If the distance between two cities on the map is 8 inches, what is the actual distance
between them?
A 60 miles
B 75 miles
C 90 miles
D 120 miles
awing of an airplane. The airplane has a 100-foot wings

Answers

Answer:

A. 60 miles

Step-by-step explanation:

2 in. = 15mi or like 2in+2in+2in+2in = 8in

15mi+15mi+15mi+15mi = 60mi

2×4 =8

4 × 15mi = 60mi

Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?

a picture of a snow flake

Answers

Answer:

Yes, the figure is line symmetric.

A snowflake has six lines of symmetry. Therefore, the correct answer is: 6.

what is the answer (x+80)(x-20)

Answers

Answer:

Using the FOIL method to multiply (x + 80)(x - 20), we get:

(x + 80)(x - 20) = x^2 - 20x + 80x - 1600

Simplifying the expression, we get:

(x + 80)(x - 20) = x^2 + 60x - 1600

Therefore, the answer is x^2 + 60x - 1600.

Choose the scatterplot(s) that DO NOT suggest a linear relationship between x and y.
O a
Ob
Oc
Od
y
y
*
y
LOVE
y
X

Answers

The scatter plots that do not show a linear relationship are B and C

How can a scatter plot show a linear relationship?

The distribution of points on a scatter plot's graph can show a linear relationship between two variables. A linear relationship exists between two variables when there is a consistent change in one variable for every change in the other.

The horizontal axis and the vertical axis of a scatter plot each indicate a separate variable. Each data point is plotted on the graph based on its values for the two variables. If the variables are related to one another linearly, the points will often fall in a straight line.

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Answers

The tools you can use to measure the object is Ruler

What is the technique to determine the size of a string using ruler?

First you need to Indicate the starting and ending points of the curved line on the string. To determine the distance between the two markings on the string, lay the string flat on a ruler, or a stretched-out measuring tape if the line is curved, and measure the length in between.

Commonly found in bars and restaurants, disposable straws intended for one-time use have a common size of 8.5 inches in length and width. The typical size of a drinking straw is one that is having a width of 24 inches. At times, you may need a lengthier or broader straw to suit yourself.

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Find the slope of the line that contains these points.
(1, -3) (2, -5)

Answers

use slope equation -5 - (-3)/(2-1) then solve

NO LINKS!! URGENT HELP PLEASE!!!

Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector "l" of segment AB.

A(-6, 4), B(14, -12)

Answers

Answer:

The perpendicular bisector of a line segment AB is the line that passes through the midpoint of AB and is perpendicular to AB.

To find the equation of the perpendicular bisector of segment AB, we can follow these steps:

Find the midpoint M of AB. The coordinates of M are:

M = ( (x1 + x2)/2, (y1 + y2)/2 )

where A = (x1, y1) and B = (x2, y2).

In this case, A = (-6, 4) and B = (14, -12), so the coordinates of M are:

M = ( (-6 + 14)/2, (4 - 12)/2 ) = (4, -4)

Find the slope m of AB. The slope of AB is:

m = (y2 - y1) / (x2 - x1)

In this case, the slope of AB is:

m = (-12 - 4) / (14 - (-6)) = -16/20 = -4/5

Find the slope of the line that is perpendicular to AB. The slope of a line perpendicular to AB is the negative reciprocal of the slope of AB. So, the slope of the line that is perpendicular to AB is:

m_perp = -1/m

In this case, the slope of the line that is perpendicular to AB is:

m_perp = -1/(-4/5) = 5/4

Use the point-slope form of the equation of a line to find the equation of the perpendicular bisector. The point-slope form of the equation of a line is:

y - y1 = m(x - x1)

We can use the midpoint M as the point (x1, y1) and the slope m_perp as the slope m:

y - (-4) = (5/4)(x - 4)

Simplifying, we get:

y + 4 = (5/4)x - 5

Moving terms around, we get:

(5/4)x - y - 9 = 0

So, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB is:

(5/4)x - y - 9 = 0

What is the opposite of 12 written in simplest terms?

Answers

Answer:

Step-by-step explanation:

It is -12.

The opposite of a positive number would be its negative.

Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?

Answers

The equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

How to solve

We can observe from the table that the number of books collected increases by 10 for each week.

Thus, there is a linear relationship between the number of weeks (w) and the number of books collected (b). We can represent this relationship using the equation:

b = mw + c

where b is the number of books collected, w is the number of weeks, m is the slope (rate of change), and c is the y-intercept (number of books collected at week 0).

The slope (m) is the change in the number of books collected per week, which is 10. We can now find the y-intercept (c) by substituting one of the points from the table into the equation. Let's use the point (1, 10):

10 = 10 * 1 + c

c = 0

Now we have the equation representing the relationship between the number of weeks (w) and the number of books collected (b):

b = 10w + 0

b = 10w

Answers

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Select all the expressions that have the same value. a \large 3^3 b \large 3^4 c \large 6^2 d \large 6^3 e \large 9^2 f \large 9^3

Answers

The expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81

Selecting all expressions that have the same value.

To compare the expressions, we can simplify them using the rules of exponents:

a) 3^3 = 27

b) 3^4 = 81

c) 6^2 = 36

d) 6^3 = 216

e) 9^2 = 81

f) 9^3 = 729

Using the above as a guide, we have the following:

Therefore, the expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81

So, options b and e have the same value.