The students at a high school collected $3,800 to buy stuffed animals to give to a children’s hospital. The students bought both stuffed bears and stuffed dogs. Each bear cost $7, and each dog cost $8. The students bought a total of 500 stuffed animals and spent all the money. How many stuffed dogs did the students buy? A. 200 B. 205 C. 295 D. 300​

Answer:

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle

Answer:

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

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Answer:

volume = 840 cubic cm

(3.2/100)×840= 26.88 per day

after 4 days = 26.88×4=107.5

answer is 107.5

The volume (in cubic centimeters) after 4 days, given that the initial volume of the ball was 840 cubic centimeters, is 732.5 cubic centimeters

First, we shall determine the volume lost per day. Details below:

Volume lost per day = 3.2% × Initial volume

= 3.2% × 840

= (3.2 / 100) × 840

= 26.88 cubic centimeters

Now, we shall obtain the volume after 4 days. Details below:

Volume after 4 days = Initial volume - Volume lost in 4 days

= 840 - 107.52

= 732.5 cubic centimeters

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The vectors are linearly independent if and only if k ≠ -11

In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.

Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.

In this question,

We have 2v - 3w

We have to multiply 2 by the values of v and multiply 3 with the values of w

this would produce

[2,6,8]-[6,6,12]

subtract w from v

= [-4, 0, -4]

We u as -1, 0 and 10+k

It is not possible to -1 = 10 + k

-11 = k

Hence we have to conclude that they are linearly independent if and only if k ≠ -11

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Two triangles are similar but not congruent if they have three congruent angles but the side lengths are not equal.

What is the congruency of triangles?

To show how can the triangles be proven similar by the SSS similarity theorem:

The two triangles can be shown to be similar given that the ratios of the corresponding sides ΔWUV and ΔYXZ are constant

Reason:

Known parameters are:

ΔWUV and ΔXZY are shown:

∠VUW ≅ ∠YXZ

∠UWV ≅ ∠XZY

∠UVW ≅ ∠ZYX

Length of side VW = 60

Length of side VU = 50

Length of side UW = 40

Length of side  ZY = 48

Length of side  YX = 40

Length of side  XZ = 32

The ratio of the sides are:

[tex]\frac{VW}{ZY} =\frac{60}{48} =\frac{5}{4} \\\frac{VU}{YX} =\frac{50}{40} =\frac{5}{4} \\\frac{UW}{XZ} =\frac{40}{32} =\frac{5}{4}[/tex]

Therefore, given that  the angles of ΔWUV and ΔXZY are all congruent, and the sides of triangle ΔWUV and ΔXZY have a constant proportion, we have that the two triangles are congruent by the Side-Side-Side SSS congruency theorem,  and we have:

ΔWUV ~ ΔYXZ given that ΔYXZ is a scaled drawing of ΔWUV.

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The complete question is given here:

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

Answer:

(-4, -2).

(0, 0).

Step-by-step explanation:

Both coordinates will be negative or (0.0).

It's these followings:

□(-4,-2)

□(0,0)

Hope this helps!

Answer: Length - 20, Width - 10

Step-by-step explanation:

First we will use the formula to find area:

Area = Length * Width --- However, since it's double the length we will do 2Length.

Area = 2x*x

Given Area = 200

Next we will solve to find Width:

[tex]2x^{2} =200[/tex]

Divide by 2:

[tex]x^{2} =100[/tex]

Take square root:

[tex]x=10[/tex]

Width = 10

Now we multiply 10 by 2, as length is twice it's width:

[tex]2*10=20[/tex]

Length = 20

Final answer: Width = 10, Length = 20

I hope this helps!

Answer:

our answer is X=2 or X= -1

Answer: C. {-1,2}
Correct on Edge 2023

We use the chi-square distribution when making inferences about a single population variance.

Short Description of Chi-Square Distribution

The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.

Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:

S² = ∑(Yₓ - Y') / (n-1)

The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.

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Answer:

x- axis , quadrant 2 , quadrant 3

Step-by-step explanation:

(9.5, 0 ) ← is located on the x- axis

(- 4, 7 ) ← is located in Quadrant II

(- 1, - 8 ) ← is located in Quadrant III

Answer:

32

Step-by-step explanation:

The length of segment AB is the average of XY and WZ.

(22 + x)/2 = 27

22 + x = 54

x = 32

The percentages of 67 of 98 is 68.36%

Fractions are written as a ratio of two integers. According to the question we are to determine the percentage of 67 that is 98.

Fraction of 67 of 98 = 67/98

Percentage = 67/98 * 100

Percentages = 6700/98

Percentages = 68.37%

Hence the percentages of 67 of 98 is 68.36%

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Answer:

Step-by-step explanation:

 yes I believe it is an quartic binomial

Answer:

yes

Step-by-step explanation:

If because it has two terms, it is a binomial, therefore it also qualifies as a polynomial.

Hope this helps

Step-by-step explanation:

Taking the men first: there are 5 ways to form a 4-man committee out of 5 men.

Taking the women now: There are 20 ways to form a 3-woman committee out of 6 women.

Each of the 5 possible male groups can be combined with any of the 20 possible female groups.

So: 100.

Answer:

C. 21°C

Step-by-step explanation:

Substitute 69.8 for F in the equation, [tex]69.8=\frac{9}{5}C+32[/tex]. This becomes [tex]37.8=\frac{9}{5} C[/tex]. Divide both sides by [tex]\frac{9}{5}[/tex] to get [tex]21=C[/tex].

Answer:

21

Step-by-step explanation:

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Answer:

x/2>5

x>5*2

x>10.....equation 1

3x≥9

x≥9/3

x≥3.....equation 2

so by combining of the two equation we get

x>10 because it is the intersection of the. . two equations.

The answer will the Third

Answer:

C

Step-by-step explanation:

You have a total of 6 outcomes (1,2,3,4,5,6).  That is your numerator.  Out of those numbers, you only want 2 of them (4 or 5), so the fractions would be 2/6 or 1/3 which can also be written 1:3

The answer is 100π cm².

Since we are given the volume, equate it to the formula of a sphere to find the radius.

Now, substitute this in the formula to find surface area.

Answer:

k = 56

Step-by-step explanation:

2k + 68 = 180

2k = 112

112 ÷ 2 = 56

k = 56

The simplified form of the expressions: 4 2/7 - 2 1/3, 4.5 - 2 5/8 and 5 2/8 - 15% are 41/21, 15/8 and 51/10 respectively.

1) 4 2/7 - 2 1/3

First we convert the mixed fraction 4 2/7 and 2 1/3 into an improper fraction.

4 2/7 = (7×4 + 2 )/7 = 30/7

2 1/3 = (3×2 + 1 )/3 = 7/3

Hence,

30/7 - 7/3

( 30×3 - 7×7  )/21

( 90 - 49  )/21

41/21

2) 4.5 - 2 5/8

First we convert both 4.5 and 2 5/8 into an improper fraction.

4.5 = 4 5/10 = (4×10 + 5)/10 = 45/10 = 9/2

2 5/8 = (2×8 + 5 )/8 = 21/8

Hence,

9/2 - 21/8

(9×8 - 21×2  )/16

(72 - 42  )/16

30/16

15/8

3) 5 2/8 - 15%

First we convert both 5 2/8 and 15% into an improper and proper fraction respectively.

5 2/8 = (5×8 + 2)/8 = 42/8 = 21/4

15% = 15/100 = 3/20

Hence

21/4 - 3/20

(21×20 - 3×4  )/80

(420 - 12  )/80

408/80

51/10

Therefore, the simplified form of the expressions: 4 2/7 - 2 1/3, 4.5 - 2 5/8 and 5 2/8 - 15% are 41/21, 15/8 and 51/10 respectively.

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Considering the proportions given in the table, the superhero is most likely to be the favorite is Superman.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Looking at the table, the proportions associated with each superhero is given as follows:

As it has the highest proportion, the superhero is most likely to be the favorite is Superman.

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Answer: 19/25

Step-by-step explanation:  50 candies total. 28 are red, 10 are blue 8 are green, and 4 are yellow. We want to calculate the probability of choosing a candy and either getting blue or red. The total candies that are blue or red are 28+10 = 38. So, 38/50. We can simplify by dividing by 2 to get 19/25. 19 is a prime number so that is as simple as we can get,

Joanna can assemble her bracelet in 30 ways.

It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.

The rest 4 are of different colors.

Six beads can be arranged in a circle in 6!/6 ways.

This means that the six beads can be arranged in 5! ways.

Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.

5!/2 = 5*4*3*2*1/2

= 60

Now, we know that two beads are of the same color. Therefore, we must divide this by two again.

Therefore, we get:

60/2 = 30

The six beads can be arranged in 30 ways to make the bracelet.

Therefore, we have found that Joanna can assemble her bracelet in 30 ways.

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We would reach our office by 7:34 a.m.

The average speed is given as 30 miles per hour.

Let us convert this into miles per minute.

30 miles/1 hour = 30 miles/60 minutes

= 0.5 miles per minute

The distance between the house and the office is 12 miles.

Therefore, we can find what it would take to reach the office by dividing the distance by the average speed:

Time taken = distance/average speed

= 12 miles/0.5 miles per minute

= 24 minutes

The time is given to be 7:10 a.m. Therefore we would reach our office by 7:34 a.m.

Therefore, we would reach our office by 7:34 a.m.

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The value of A has been illustrated, computed and proven based in the triangle given.

It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.

Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.

In this case, the following can be deduced:

A = 5x

B = 90°

C = x + 10°

Therefore, A + B + C = 180° (sum of angles in a triangle)

5x + 90 + x + 10 = 180°

6x = 180° - 90° - 10°

6x = 80°

x = 80/6

x = 13 1/3

Therefore, the value of A will be:

= 5x

= 5 × 13 1/3

= 66 2/3

Therefore, A is 66 2/3.

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Answer:

Can i have the graph? THis doesn't make sense

Step-by-step explanation:

The graph of (f+g)(x) is on the coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5).

The graph of a parabolic equation is a curved U-shape graph from where the domain, the range, x-intercept(s), and the y-intercept(s) can be determined.

Given that:

f(x) = -x² + 3x + 5

g(x) = x² + 2x

To find (f + g)(x), we have:

(f + g)(x) = (-x² + 3x + 5)+(x² + 2x)

(f + g)(x) = -x² + 3x + 5 +x² + 2x

(f + g)(x) = 3x + 2x + 5

(f + g)(x) = 5x + 5

Use the Slope-intercept form: We are to find the graph of y = 5x + 5

y = 5x + 5

Here:

Therefore, we can conclude that on the coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)

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Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Using a calculator, the mean and the standard deviation for the diameters are given as follows:

[tex]\mu = 1.524, \sigma = 0.1226[/tex]

The 49th percentile is X when Z = -0.025, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.025 = \frac{X - 1.524}{0.1226}[/tex]

X - 1.524 = -0.025 x 0.1226

X = 1.52.

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Answer: x=5.6 or 5 3/5

Step-by-step explanation:

Cross multiplication is when you have two fractions (ratios) that are equivalent and you can multiply the numerator of the first one by the denominator of the second one, and the denominator of the first one by the numerator of the first one. The answers to these two are equivalent.

So, 5x/8 = 7/2

10x=56

x=5.6

x= 5 3/5

Based on the fact that the shop still made a 40% profit on the concept xi bicycle, the original listing price must have been $1,600.

assuming the list price is x, the formula would be:

800 x 1.40 = (x × 0.7)

solving gives:

1,120 = 0.7x

x = 1,120 / 0.7

= $1,600

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