Question 7 Aya and Kendra want to estimate the height of a tree. On a sunny day, Aya measures Kendra's shadow as 3 meters long, and Kendra measures the tree's shadow as 15 meters long. Kendra is 1.5 meters tall. How tall is the tree?
A.7.5 meters
B.22.5 meters
C.30 meters
D.45 meters

To find the number of each type of shot, we can create a system of equations based on the given information and solve it. The equations are x + y = 56 and x + 2y = 95.

To solve this problem, we can create a system of equations based on the given information. Let's assume that the team made x 1-point shots and y 2-point shots. We know that the team made 56 successful shots in total, so the first equation is x + y = 56. We also know that the team scored 95 points in total, and since each 1-point shot contributes 1 point and each 2-point shot contributes 2 points, the second equation is x + 2y = 95.

Now we can solve this system of equations:

x + y = 56

x + 2y = 95

By solving these equations, we can find the values of x and y, which represent the number of 1-point and 2-point shots respectively.

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Team made 17 1-point shots and 39 2-point shots.

Let's define variables to set up the system of equations:

x: the number of 1-point shots

y: the number of 2-point shots

We know from the problem statement that:

The total number of shots is 56.

The total points scored is 95.

We can represent these conditions with the following system of equations:

Equation 1: x + y = 56

Equation 2: x + 2y = 95

Now, let's solve this system step-by-step:

Step 1: Solve Equation 1 for x:

x = 56 - y

Step 2: Substitute this expression into Equation 2:

56 - y + 2y = 95

Step 3: Simplify and solve for y:

56 + y = 95

y = 39

Step 4: Substitute y back into Equation 1 to find x:

x + 39 = 56

x = 17

Thus, the team made 17 1-point shots and 39 2-point shots.

There are 32 black fish in the tank

Step-by-step explanation:

Nanci has a large fish tank that contains fish

We need to find how many black fish in the tank

∵ The ratio between the orange fish to the black fish is 5 : 8

∵ She has 20 orange fish

By using the ratio method

→  orange  :  black

→  5            :  8

→  20          :  x

By using cross multiplication

∵ 5 × x = 20 × 8

∴ 5 x = 160

- Divide both sides by 5

∴ x = 32

∵ x represents the number of the black fish

∴ The number of the black fish is 32

There are 32 black fish in the tank

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Answer:

w: 100w = 80 x 35 = 2800/100 = 28  strands in one pom pom

b: 100b = 80 x 25= 2000/100 = 20   strands in one pom pom

r: 100r = 40 x 80 = 3200/100 = 32  strands in one pom pom

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

42.0

Step-by-step explanation:

Answer:

c = [tex]\frac{5-b}{3ab}[/tex]

Step-by-step explanation:

Given

3abc + b = 5 ( isolate the term in c by subtracting b from both sides )

3abc = 5 - b ( divide both sides by 3ab )

c = [tex]\frac{5-b}{3ab}[/tex]

Answer: -b-5/3ab

Step-by-step explanation:

3abc + b = 5

3abc + b - b = 5 - b

3abc = 5 - b

3abc / 3ab = (5 - b) / 3ab

c = (5 - b) / 3ab

Answer:

25°

Step-by-step explanation:

In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.

This means

[tex]m\angle KNL=m\angle LNM[/tex]

Since

[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]

you have

[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]

No, find the measure of angles KNL and LNM:

[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]

and the measure of angle KNM is

[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]

Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then

[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]

Answer:

25 Degrees

Step-by-step explanation:

Total cost of the chicken wings is $12.71

Step-by-step explanation:

⇒ Total Cost = 3.91 × 3.25

⇒ Total cost = $12.71

Final answer:

To find the total cost of chicken wings, add the weights of both packages (1.28 pounds + 2.63 pounds = 3.91 pounds) and multiply by the price per pound ($3.25), yielding a total cost of $12.71.

Explanation:

The problem provided describes a scenario where Raman buys two packages of chicken wings weighing 1.28 pounds and 2.63 pounds. To calculate the total cost of the chicken wings at a price of $3.25 per pound, first, we need to determine the total weight of the chicken wings by adding the weight of both packages together. Next, we multiply the combined weight by the price per pound.

Here is the step-by-step calculation:

Add the weights of the two packages: 1.28 pounds + 2.63 pounds = 3.91 pounds.

Multiply the total weight by the price per pound: 3.91 pounds *$3.25 per pound.

Calculate the overall cost: 3.91 * $3.25 = $12.71.

Therefore, the total cost of the chicken wings is $12.71.

Option C:

The length of SP is 12.

Solution:

In the given circle, NP and MQ are chords of the circle.

MS = 3, NS = 2, SQ = 8

To find the length of SP:

Segments of chords theorem:

If two chords intersects in the interior of a circle, then the product of the lengths of the segment of one chord is equal to the product of lengths of the segments of the other chord.

By this theorem,

NS × SP = MS × SQ

⇒ 2 × SP = 3 × 8

⇒ 2 SP = 24

Divide by 2 on both sides of the equation, we get

⇒ SP = 12

Option C is the correct answer.

The length of SP is 12.

Final answer:

Using the Intersecting Chord Theorem, we find that the length of SP is 3/4 by setting up the equation 3 * 2 = SP * 8 and solving for SP.

Explanation:

The student is asking about finding the length of a chord segment in a circle where two chords intersect. Since chords NP and MQ intersect at point S inside circle R, we can apply the Intersecting Chord Theorem.

This theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In formula terms, MS × NS = PS × SQ.

We are given MS = 3, NS = 2, and SQ = 8. To find the length of SP, we just substitute into the theorem's formula: (3) × (2) = SP × (8). From this, we calculate that SP = 3/4, which is the length of the segment SP.

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is [tex]9 \ cm[/tex]

Explanation:

It is given that the radius of the cone is [tex]3 \ cm[/tex]

The volume of the cone is [tex]27\pi[/tex]

The height of the cone can be determine using the formula,  

[tex]$V=\frac{1}{3} \pi r^{2} h$[/tex]

Substituting the values [tex]V=27 \pi[/tex] and [tex]r=3[/tex], we get,

[tex]$27 \pi=\frac{1}{3} \pi(3)^{2} h$[/tex]

Multiplying both sides by 3, we have,

[tex]$81 \pi= 9\pi h$[/tex]

Dividing both sides by [tex]$9 \pi$[/tex], we have,

[tex]9=h[/tex]

Thus, the height of the cone is [tex]9 \ cm[/tex]

Answer:

[tex]It \: is \: called \: commutative \: property[/tex]

The number 77.31 x 10^4 in scientific notation is 7.731 x 10 ^ 5. To achieve this, the decimal place was moved to the left and the power of 10 increased accordingly.

To express the number 77.31 x 10^4 in scientific notation, we need to adjust it to fit the format 'a x 10^n', where 1 ≤ |a| < 10 and n is an integer. So, the main step is to transfer the decimal place in '77.31' to after the first digit, followed by multiplying by an appropriate power of 10.

Firstly, rewrite 77.31 as 7.731 by moving the decimal place one place to the left. Now, since our original number was multiplied by 10^4, this needs to be amended by 1 place for the movement of the decimal point. This results in 10^5, since you are now multiplying by 10 one more time than before.

Combining these, the given number is represented in scientific notation as 7.731 x 10 ^ 5.

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Answer:

f(4) =[tex]\frac{1}{2}[/tex]

x = 8

Step-by-step explanation:

f(4) =[tex]\frac{1}{2}[/tex]     [ image of 4 is  [tex]\frac{1}{2}[/tex]]

f(x) = 4

then x = 8  [ the preimage of 4 is 8]

Answer:

B) [tex]f(x)=3e^x^+^6-4[/tex]

D) [tex]f(x)=3(x+6)^2-4[/tex]

Step-by-step explanation:

I did what the other person said and I got 1/2.

The correct functions have the same transformations are,

⇒ f (x) = 3eˣ⁺⁶ - 4

And, f(x) = 3(x+6)² - 4

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 3 csc (x + 6) - 4

Now, In the given function;

⇒ f (x) is a translation of g(x) = 3csc x of 6 units to the left and 4 units down.

By options;

⇒ f (x) = 3eˣ⁺⁶ - 4

And, f(x) = 3(x+6)² - 4

Both function is a translation of 6 units to the left and 4 units down.

Thus, The correct functions have the same transformations are,

⇒ f (x) = 3eˣ⁺⁶ - 4

And, f(x) = 3(x+6)² - 4

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Answer:

[tex]width \: of \: the \: rectangle \\ = \frac{area \: of \: rectangle}{length \: of \: rectangle} \\ \\ = \frac{45 {x}^{8} \times {x}^{9} }{5 {x}^{3} \times {x}^{4} } \\ \\ = \frac{45 {x}^{8 + 9} }{5 {x}^{3 + 4} } \\ \\ = \frac{45 {x}^{17} }{5 {x}^{7} } \\ \\ = 9 {x}^{17 - 7} \\ \\ = 9 {x}^{10} \: yards \\ \\ \therefore \: width \: of \: the \: rectangle \\ \: \: \: \: \: \: = 9 {x}^{10} \: yards \\ [/tex]

Answer:

6.30

Step-by-step explanation:

Ivanka’s ribbon = 4.5 inches long

Michal’s ribbon is 3 1/2 times ivanka’s

Therefore,

Michal’s = 3 1/2 x 4.5

= 7/5 x 4.5

= 31.5/5

= 6.3 = 6.30 to the nearest hundredth

Answer:

0.08333333333

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

0.0009) is 9x10^-4

Step-by-step explanation:

Answer:

look at the picture shown

Answer:

3

Step-by-step explanation:

4[z+3(z-1)]=36

z+3(z-1)=36/4

z+3z-3=9

4z-3=9

4z=9+3

4z=12

z=12/4

z=3

Answer:

4z+2(square)2z=2(square)6

Step-by-step explanation:

4((z+3(z-1)))=36

4(z^2-z+3((z-3)))=36

4(z^2-z+3z-3)=36

4((z^2+(-z+3z)-3))=36

4(z^2+2z-3)=36

4z^2+8z-12=36

4z^2+8z=24

((4(square)z^2))+(square)8z=(square)24

4z+2(square)2z=2(square)6

Answer:

Kendra used 50 cents

Step-by-step explanation:

Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).

J=40

B=90

L=15

K=50

Hope this helps! c:

Using the given information, the value of the coupons Kendra used IS 50 cents.

Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.

Let,

Cents used by Kendra in coupons= K

Cents used by  Leanne in coupons= L

Cents used by  Becca in coupons= B

Cents used by  Jaclyn in coupons= J

Using the given information,

Kendra used 35 cents more in coupons at the store than Leanne,

K=L+35......................................................................................(1)

Leanne used 75 cents less than Becca,

L+75=B......................................................................................(2)

Becca used 50 cents more than Jaclyn,

B=J+50......................................................................................(3)

Jaclyn used 40 cents in coupons,

J=40

Substituting J=40 in (3),

B=90

Substituting B=90 in (2),

L=15

Substituting L=15 in (1),

K=50

Thus, Kendra used 50 cents in coupons.

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Answer:102

Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102

Answer:

look at the picture shown

Answer:

y = 56

Step-by-step explanation:

the two angles are equal to 180

y - 24 +3y - 20 = 180

4y - 44 = 180

4y = 224

y = 56

Answer:

I have bought 4 shirts and 6 pants.

Step-by-step explanation:

Let I have bought x number of shirts and y number of pants.

So, the two equation that we can write from the given conditions are

x + y = 10 ............. (1) and

24x + 32y = 288 ...... (2)

Now, solving equations (1) and (2) we get

24x + 32(10 - x) = 288

⇒ 8x = 320 - 288 = 32

⇒ x = 4

And y = (10 - 4) = 6

Therefore, I have bought 4 shirts and 6 pants. (Answer)

Answer:

77 laptops and 65 desktops

Step-by-step explanation:

142/2=71

71+6=77

71-6+65

Answer:

74 Labtops

Step-by-step explanation:

you first have to subtract 6 from 142

142-6= 136

divide 136 by two.... for the labtops and the computers.

136 ÷ 2 = 68

68 is the number of desktops...to find the number of labtops you just need to add 6 again.

68 + 6 = 74 Labtops

To check your answer you can just add

74+68 and if it equals to what you started with then that's your answer

74 + 68 = 142

Answer:

16

Step-by-step explanation:

64÷4=16

Answer:

the answer would be 8

Step-by-step explanation:

64 is the area squared so you need to find the square root of 64 because that would be the opposite.

Answer:

The slope is up 5 over 1

Step-by-step explanation:

Rise over run Which is 5/1

To get the answer you need to follow the x axis and then the y axis or find a point and subtract with an another point on a graph

Or rise over run if u don’t want a graph

Yo sup??

[tex]4/6=2*2/2*3\\=2/3\\\\4/6+1/3\\=2/3+1/3\\=2+1/3\\=3/3\\=1\\[/tex]

Hope this helps

Answer:

( - 7/4, 81/8 )

Step-by-step explanation: