The weight of each bag of the mixture can be determined by using a tape diagram. Given that Linda mixed 5.15 lb of cashews with 4.32 lb of pistachios, and after filling up 6 bags that were the same size with the mixture, he had 0.05 lb of nuts left.
A tape diagram is a bar model that is used to represent fractions and ratios visually. It is useful when comparing different quantities that are related to each other.Tape DiagramTo solve the problem using a tape diagram, we begin by representing the total weight of the mixture and the weight of each bag using a single length unit. For example, we can choose 1 inch to represent the weight of 1 pound.
In this case, we would represent the total weight of the mixture as 5.15 + 4.32 = 9.47 inches. Next, we divide the total length by the number of bags to find the length of each bag. If the total length of the mixture is 9.47 inches and there are 6 bags, then the length of each bag is:9.47 ÷ 6 = 1.578 inches. Finally, we convert the length of each bag back to pounds by multiplying by the weight of 1 pound, which is 1 inch in our tape diagram. Thus, the weight of each bag is:1.578 × 1 = 1.578 lb. Therefore, the weight of each bag of the mixture is 1.578 lb.
Know more about tape diagram:
https://brainly.com/question/29208618
#SPJ11
Find the area of a circle with diameter 31.6 cm, both in terms of π and to the nearest tenth. Use 3.14 for π.
Answer:
784.3
Step-by-step explanation:
3.14(15.8)^2 = 784.3
hope this helped :>
Please help I have no idea
Answer:
38
Step-by-step explanation:
Put 2 in place of q
(34+18×2)-(5^2+7)
(34+36)-(25+7)
70-32=38
g (1) = type your answer.
g (-12)= type your answer
The numeric values of the graphed function are given as follows:
g(1) = 4.g(-12) = -10.How to obtain the numeric values from the graph of a function?To obtain the numeric values of a function from its graph, you can use the following steps:
Determine the x-value of the point on the graph where you want to find the corresponding y-value.Locate the point on the y-axis that corresponds to the x-value you found in step 1.Read the y-value off the y-axis at the point you located in step 2. This is the numeric value of the function at the x-value you found in step 1.When x = 1, the point with a closed circle is at y = 4, hence the numeric value is given as follows:
g(1) = 4.
When x = -12, we have that y = -10, hence the numeric value is given as follows:
g(-12) = -10.
Learn more about the numeric values of a function at brainly.com/question/28367050
#SPJ1
what is the scientific notation to 6500
Answer:
6.5×10^3
Step-by-step explanation:
10^3=1,000×6.5=6,500
What is another way to write
3x(4+5)=27
Answer:
12x+15x=27 or
27x=27
or x=1
Answer:
x=1
Step-by-step explanation:
3x(4+5)=27, we can combine like terms and we have
3x * 9 = 27 , this is another way to write 3x(4+5)=27
27x = 27, this is another way to write 3x(4+5)=27
x= 1, this is another way to write 3x(4+5)=27
Last year Billy weighed 75kg. This year he weighed 90kg. With what percentage did his weight increase?
Answer:
I think the solution is this below
|
|
\/
75/90 × 100%
(dividing 75 bad 90 by 5 )
15/18 × 100%
(dividing 15 and 18 by 3 )
5/6 × 100%
( dividing 6 and 100 by 2 )
5/3 × 50%
250/3%
83 1/3%
your answer ====> 250/3% or 83 1/3%
Find the value of x in x + y = 9 and x - y = 2.5.553.5-5.5
Step 1
Given; Find the value of x in x + y = 9 and x - y = 2.
Step 2
Using the elimination method.
\(\begin{gathered} x+y=9 \\ + \\ x-y=2 \\ --------- \\ 2x\text{ +0=11} \end{gathered}\)Hence,
\(\begin{gathered} 2x=11 \\ x=\frac{11}{2} \\ x=5.5 \end{gathered}\)Answer;
\(x=5.5\)find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.
Answer:
Lateral surface area is 216 in²Total surface area is 324 in²----------------------
Find the hypotenuse c of the base using Pythagorean theorem:
\(c=\sqrt{a^2+b^2}\)\(c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15\)Lateral surface area, three rectangular faces, is:
LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216Find base area, the area of two right triangles:
A = 2*(1/2)(9)(12) = 108Find total surface area:
TSA = LSA + Base areasTSA = 216 + 108TSA = 324The z-score for a particular observation is z = -1.2. This means the observation is
The observation is located to the left of the mean by a distance of 1.2 standard deviations.
How to observe the mean of situation?The z-score of an observation represents the number of standard deviations the observation is away from the mean.
If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.
If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:
observation = μ + (z * σ)
observation = μ + (-1.2 * σ)
This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.
For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.
In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.
Learn more about z-score
brainly.com/question/15016913
#SPJ11
USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10
Answer:
Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.
Point K is located at
−
12
−12. Points L and M are each
6
6 units away from Point K. Where are L and M located?
Points M and N will be located on the number line as:
M is at -15
N is at 3.
Here, we have,
to Find the Coordinate of a Point on a Number Line:
The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.
The distance between two points on a number line is the number of units between both points.
Given that point L is at -6 on a number line, thus:
Point M is 9 units away from point L = -6 - 9 = -15
Point N is 9 units away from point L = -6 + 9 = 3
Therefore, points M and N will be located on the number line as:
M is at -15
N is at 3.
Learn more about location on a number line on:
brainly.com/question/4619309
#SPJ1
y varies inversely with x. If y = 4 when x= -6, find the constant of variation and find the value of y when x= -2
Answer:
constant of variation: k = -24
y = 12 when x = -2
Step-by-step explanation:
y varies inversely with x equation is: y = k/x
where 'k' if the constant of variation
plug in:
4 = k/-6
cross-multiply to get value of 'k' which is -24
plug in:
y = -24/-2
y = 12
Find the area of an isosceles triangle with a vertex angle of 22 degrees and a leg length of 5. Round to the nearest tenth.
The area of the Triangle given in the question is 4.7
Area of Triangle = 1/2(base × height )
Using the vertex , we can obtain the height of the triangle thus:
sin(22 degrees) = h/5height = 1.873
Inserting the parameters into the Area formula :
height = 1.873
base = 5
Area of Triangle = 1/2 × 5 × 1.873
Area of Triangle= 4.68
Therefore, the area of the triangle is 4.7
Learn more on area of Triangle: https://brainly.com/question/17335144
#SPJ1
6x − 12y = 24 , −x − 6y= 4
(6,-1)
(1,-1)
(3,-2)
(5,-2)
The solution to the system of equations is (7,1.5).Option (5,-2) is incorrect.
What is Equation?An equation is a mathematical statement that shows the equality between two expressions. It is written using an "equal to" sign ( = ) and involves one or more variables. Equations are used to describe relationships between unknown values, and can be used to model real-world problems and to solve them.
Addition/Elimination
We can solve this system of equations by addition/elimination. To do this, we will add the two equations together.
6x − 12y = 24
−x − 6y= 4
Adding these equations together gives us:
5x − 18y = 28
From this, we can solve for y:
y = 28/18
y = 1.5
We can then substitute this value of y into either of the original equations to solve for x:
6x − 12(1.5) = 24
6x = 24 + 18
6x = 42
x = 42/6
x = 7
Therefore, the solution to the system of equations is (7,1.5).
Option (5,-2) is incorrect.
To know more about equation click-
http://brainly.com/question/2972832
#SPJ1
Complete questions as follows-
Solve by addition/elimination 6x − 12y = 24 , −x − 6y= 4
(6,-1)
(1,-1)
(3,-2)
(5,-2)
Multiply.
9i (5-2i)=
Answer:
The answer is 45i + 18
since i *i=-1
Calculate the relative frequency of the data to determine which association the two-way table suggests.
A. None of the associations listed are correct.
B. Those who have a brother tend not to have a sister.
C. Those who have a brother tend to have a sister.
D. Those who do not have a brother tend not to have a sister.
The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.
The table provides information about whether individuals have a brother and a sister.
Based on the options given, let's calculate the relative frequencies to see which association is suggested:
Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)
Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)
By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.
For such more questions on Association:
https://brainly.com/question/2511791
#SPJ11
Help please guys thanks
From the figure of the triangle, the length of LK is calculated to be 10
How to calculate the length of LK from the triangleThe knowledge used here is that of similar triangles.
In similar triangles the sizes of the triangles are not equal however the ratio of the sizes are equal
The formula for the similar triangle used here is:
JR / JL = SR / LK
from the given figure
JL = 2JR, SR = 5
plugging the values into the equation gives
JR / 2JR = 5 / LK
1 / 2 = 5 / LK
LK = 10
The length of KL = 10 units
Learn more on similar triangles here: https://brainly.com/question/2644832
#SPJ1
please help me with this, Thank you!!
Find the values of the following triangle sides. Note that these are special triangles. When necessary, use a square root in your answer. Remember, no square roots in the 25 denominator! No decimals.
(a) Leg lengths: 6 and 6√2, Hypotenuse length: 6√2.
(b) Shorter leg length: 5, Longer leg length: 5√3, Hypotenuse length: 10.
To find the values of the triangle sides in special triangles, we can use the relationships within these triangles. There are two common special triangles: the 45-45-90 triangle and the 30-60-90 triangle.
45-45-90 triangle:
In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is the length of the leg times √2.
If the length of one leg is x, then the length of the other leg is also x, and the length of the hypotenuse is x√2.
30-60-90 triangle:
In a 30-60-90 triangle, the lengths of the sides are in a specific ratio.
If the shorter leg is x, then the longer leg is x√3, and the hypotenuse is 2x.
Now let's apply these relationships to find the values of the sides:
In a 45-45-90 triangle, if one leg has a length of 6, then the other leg also has a length of 6. The hypotenuse is found by multiplying the leg length by √2, which gives 6√2.
In a 30-60-90 triangle, if the shorter leg has a length of 5, then the longer leg is found by multiplying the shorter leg by √3, which gives 5√3. The hypotenuse is found by multiplying the shorter leg by 2, which gives 10.
LEARN MORE ABOUT Hypotenuse here: brainly.com/question/16893462
#SPJ11
i need help with this please
Answer:
tikimotas
latino
Step-by-step explanation:
There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5. There
are 12 more blue tiles than red tiles in the box. How many red tiles are in the box?
Answer:
Step-by-step explanation:
18
The length of a rectangle is 6.8cm and the width is 3.4cm. What is the perimeter of the rectangle and the area of the rectangle?
Find the nth term of
this quadratic sequence
4, 7, 12, 19, 28, … what is the nth term
Answer:
\(n {}^{2} + 3\)
How many different numbers can be obtained using five binary bits? A)64 B)32 C)31 D)63.
In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).
With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.
Learn more about binary bits here:
https://brainly.com/question/30462196
#SPJ11
how to solve (x+y)^2 + (x^2 -2xy+y^2)
Answer:
2\(x^{2}\)+2\(y^{2}\)
Step-by-step explanation:
\((x+y)^{2}\) + (\(x^{2}\) -2xy+\(y^{2}\))
(x+y)(x+y)+(\(x^{2}\) -2xy+\(y^{2}\))
\(x^{2}\)+ xy + xy+\(y^{2}\)+\(x^{2}\)-2xy+\(y^{2}\)
\(x^{2}\)+2xy+\(y^{2}\)+\(x^{2}\)-2xy+\(y^{2}\) (cancel 2xy)
The answer is - 2\(x^{2}\)+2\(y^{2}\)
What are the x coordinate and the y coordinate of the center of mass for the uniform plate shown in Figure below if L=5.0 cm?
From the X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.
According to the Question:
Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at
(x₁, y₁) = (−5.0cm,−2.5cm).
Now,
The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).
Now,
The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃) = (5cm,−15cm).
(a) The x coordinate of the center of mass for the plate is
\(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)
= -0.45 cm
(b) The y coordinate of the center of mass for the plate is
\(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)
= -2.0 cm.
Learn more about Coordinate:
https://brainly.com/question/16634867
#SPJ4
Solve
5x-2>3x+11
Thanks
Answer:
x > 6.5
Step-by-step explanation:
Let's temporarily replace the inequality sign ">" with "=".
This gives us: 5x - 2 = 3x + 11.
If we subtract 3x from both sides we are left with:
2x - 2 = 11.
If we add 2 to both sides, we are left with:
2x = 13.
If we divide both sides by 2, we are left with
x = 6.5.
Now let's substitute back in the inequality sign
x > 6.5
Hope this helps!!!! :)
Answer:
X>6½
Step-by-step explanation:
5x-3x>11+2
2x>13
x>6½
*X>13:2 and that is how i get 6½
I hope so that i help you
The diagram shows a triangle.
13.4 cm
7.6 cm
Work out the area of the triangle.
Answer:
Area of the triangle = 12.92 cm²
Step-by-step explanation:
Area of a triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)
From the figure attached,
Length of base of the triangle = 7.6 cm
Length of the height of the triangle = 3.4 cm
Area of the triangle = \(\frac{1}{2}(7.6)(3.4)\)
= 12.92 square cm
Need honest and urgent help thank you
Answer:
(Top to bottom) The third and the fifth.
Step-by-step explanation:
I feel lazy typing this so I'll just take a pic if you're curious about the process.
Please help, see photo attached
Algebraically, we can write the solution set of the system of inequalities as follows: -2x - 3 ≤ y ≤ 3x 2 and y = -5 satisfies this inequality, the point (1, -5) is in the solution set of the system of inequalities
What do you mean by Algebraic Expression ?An algebraic expression is an expression made up of constant algebraic numbers, variables and algebraic operations (addition, subtraction, multiplication, division and exponentiation, which is a rational number).
To determine the relationship between the point (1, -5) and the given system of inequalities, we must substitute the values of x and y in each inequality and check whether the point satisfies the inequality or not.
For the first inequality, we have:
y ≤ 3 x 2
Substituting x = 1 and y = -5, we get:
-5 ≤ 3 (1) 2
-5 ≤ 5
This inequality is true, so the point (1, -5) satisfies this inequality.
For the second inequality, we have:
y ≥ -2x -3
Substituting x = 1 and y = -5, we get:
-5 ≥ -2(1) -3
-5 ≥ -5
This inequality is also true, so the point (1, -5) also satisfies this inequality.
Since the point (1, -5) satisfies both inequalities, it lies in the region that satisfies the system of inequalities. Geometrically, the point (1, -5) lies in the shaded area between the two lines y = 3x 2 and y = -2x -3 in the xy plane. Algebraically, we can write the solution set of the system of inequalities as follows:
-2x - 3 ≤ y ≤ 3x 2
Substituting x = 1, we get:
-2 (1) - 3 ≤ y ≤ 3 (1) 2
-5 ≤ y ≤ 5
Since y = -5 satisfies this inequality, the point (1, -5) is in the solution set of the system of inequalities
Learn more about Rational number here
https://brainly.com/question/24540810
#SPJ1
Becky wants to buy a charm bracelet. Summerfield Fine Jewelry charges $10 per charm, plus
$4 for the bracelet. Olsen Jewelers, in contrast, charges $5 per charm and $24 for the
bracelet. If Becky wants to add a certain number of charms to her bracelet, the cost will be
the same at either jewelry shop. What would the total cost of the bracelet be? How many
charms would that be?
0Answer:
0
Step-by-step explanation:
LOLL