Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
a diamond merchant received a shipment of 1/2 of a pound of diamonds. he divided the diamonds into 4 equal lots and sold them to jewelers for making rings and necklaces. what was the weight of the diamonds in each lot?
The weight of each lot is 1/8 pound where a diamond merchant received a shipment of 1/2 pound of diamonds and divided that into 4 equal parts.
Here we can use the concept of fraction. A fraction shows part of a whole. This whole can be a region or a collection. fractions are represented as a numerical value which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole where the whole can be any number a specific value or a thing.
Diamond merchant received a shipment of 1/2 of a pound of diamonds. he divided the diamonds into 4 equal lots and sold them to jewelers for making rings and necklaces.
Total shipment = 1/2 pound
number of equal lots = 4
then, 4 * weight = 1/2
weight = 1/ 8
so the weight of each lot is 1/8 pound.
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What is the slope of the line on the graph?
Answer:
2/4=1/2
Step-by-step explanation:
It rises 2 runs over 4.
rise/run
2/4=1/2
at a school
number of boys:number of girls= 11:9
There are 124 more boys than girls.
Work out the total number of students at the school
Answer:
Total students = 1240
Step-by-step explanation:
Boys : girls = 11 : 9
Number of boys = 11x
Number of girls = 9x
11x - 9x = 124
2x = 124
x = 124/2
x = 62
Number of boys = 11x = 11 *62 = 682
Number of girls = 9x = 9*62 = 558
Total students = 682 + 558 = 1240
Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
The critical value for the 0.05 level of significance is k = 21.
To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.
We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.
So, we want to find the smallest k such that:
P(X <= k) >= 1 - 0.05
where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.
The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.
This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.
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A data set will always have exactly one mode.
O True O False
False. A data set may have one mode, but it is also possible for a data set to have no mode or multiple modes.
What is the mode of data?A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.
If no value is repeated, the dataset has no mode. If two or more values appear with the same maximum frequency, then the dataset has multiple modes.
For example, consider the following dataset:
1, 2, 3, 3, 4, 4, 5
In this dataset, both 3 and 4 appear twice, which means that the dataset has multiple modes.
So, in general, it is not always true that a data set will have exactly one mode. It depends on the values in the dataset and their frequencies.
Therefore, the correct answer would be option (B) False.
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inequality question? Ryan planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 on an additional $5.25 per person. If he can spend no more than $350, how many people can he invite?
Answer:47
Step-by-step explanation:
Answer:
Your answer is 47, hope it helps.
Which situation represents a multiplicative relationship?
There are five more trombones than trumpets.
There is a total of nine flutes and clarinets.
There are five times as many saxophones than violins.
There are 16 string instruments.
Answer:
There are five times as many saxophones than violins.
Step-by-step explanation:
times is another word indicating multiplication
100 points please answer question 1 and 2
Answer:
i would love 2 answer this but...
Step-by-step explanation:
but you lied by saying 100 points um i only see 5 points.
Answer:
1. 4
2.2
Step-by-step explanation:
cause I'm smart that's right
Jackson has a box of 25 different chocolates. Of the chocolates are milk chocolates and of the chocolates are white chocolates. What fraction of the box of chocolates are milk chocolate and white chocolate
Step-by-step explanation:
Let there be 15 milk choclates and 10 white choclates, out of the total 25 choclates.
fraction of the box of chocolates that are milk chocolate = 15/25=3/5.
fraction of the box of chocolates are white chocolate =10/25 =2/5
Answer:
25/1 or 5/5
Step-by-step explanation:
if -5,3 and 5,3 are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that orgin lies inside the triangle (Take √3 = 1.7)
Therefore, The Coordinates of the THIRD VERTEX is: ( 5, -3 )
Step-by-step explanation:Calculate the midpoint of the given vertices:
MidPoint = ( -5 + 5/2, 3 + 3/2 )
MidPoint = ( 0, 3 )
Calculate the distance between the given vertices:Distance = √( -5 -5 )^2 + ( 3 - 3 )^2
Distance = √( -10 )^2 + (0)^2
Distance = √100
Distance = 10
Calculate the side length of the equilateral triangle:Side Length = 10/√3
Side Length = 10/1.7
Side Length = 5.88
Calculate the height of the Third Vertex:Height = √3/2 * Side Length
Height = 1.7/2 * 5.88
Height = 5
Calculate the Coordinates of the Third Vertex:Since the origin lies inside the triangle, The Third Vertex will have a Positive X-Coordinate and a Negative Y-Coordinate.
Now, Let the Third Vertex Be:( x, y )
Using the MidPoint Formula now we have:x = -5 + x/2
y = 3 + y/2
Solve for X and Y, we now get:x = 5
y = -3
Draw a conclusion:Hence, The Coordinate of the Third Vertex is: ( 5, -3 )
I hope this helps!
NEED HELP ASAP WILL MARK BRAIN <3
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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i need 2 more please help me
what is the definition for congruent arcs
Answer:
"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"
Step-by-step explanation:
[9 x (10 - 2)] divided [2 + (5 x 2)]
Someone pls help me :p
Which is an irrational number?
It’s question number 5 pls
Answer:
A.
Step-by-step explanation:
An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.
The ratio of the sides of two similar polygons is 3:2. The area of the smaller polygon is 24cm squared. What is the area of larger polygon
Answer: 36cm
Step-by-step explanation:
From the question, we are informed that the ratio of the sides of two similar polygons is 3:2 and that the area of the smaller polygon is 24cm squared.
Therefore, the area of the larger polygon would be calculated as:
= 24cm ÷ 2/3
= 24cm × 3/2
= 36cm
What are the factors of 36xyz?
A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z
Answer:
ç
Step-by-step explanation:
Question 4 of 10
The standard form of the equation of a parabola is y=x²-6x+14.
What is the vertex form of the equation?
OA y=(x-3)2 +15
OB. y = (x+3)(x-3) +5
O C. y=(x-3)2 +23
OD. y=(x-3)² +5
The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.
To convert the given equation from standard form to vertex form, we need to complete the square.
The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.
Given equation: y = x² - 6x + 14
Move the constant term to the right side:
y - 14 = x² - 6x
Complete the square by adding and subtracting the square of half the coefficient of x:
y - 14 + 9 = x² - 6x + 9 - 9
Group the terms and factor the quadratic:
(y - 5) = (x² - 6x + 9) - 9
Rewrite the quadratic as a perfect square:
(y - 5) = (x - 3)² - 9
Simplify the equation:
y - 5 = (x - 3)² - 9
Move the constant term to the right side:
y = (x - 3)² - 9 + 5
Combine the constants:
y = (x - 3)² - 4
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i dontt get it plse hellp meeee
Answer:
there is nothing here
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(x-10)-(-4)=0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
1
(— • (x - 10)) - -4 = 0
3
STEP
2
:
Equation at the end of step 2
(x - 10)
———————— - -4 = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
-4 -4 • 3
-4 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x-10) - (-4 • 3) x + 2
————————————————— = —————
3 3
Equation at the end of step
3
:
x + 2
————— = 0
3
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x+2
——— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x+2 = 0
Solving a Single Variable Equation:
4.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
One solution was found :
x = -2
Surface area of a prisim
Answer:
Step-by-step explanation:
The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.
Surface area is 670
volume is 830
the value of p(x) = 5x-4x^2+3 at x=0
Steps to solve:
p(x) = 5x - 4x^2 + 3
~Substitute
p(0) = 5(0) - 4(0)^2 + 3
~Simplify
p(0) = 0 - 0 + 3
~Simplify
p(0) = 3
Best of Luck!
can somebody help me with more line segment problems?
Now I am not sure what length you're supposed to find for problem 9, but x = 3.3 i think.
10.)
(14+x)+(x+21) = 13
2x+35=13
2x = -22
x = -11
FE = -11 + 14 = 3 units
11.)
10 + 2x - 10 = 3x - 8
2x = 3x - 8
-x = -8
x = 8
10 + 2(8) -10 = 16 units
A box of chocolates contains hard-centred and soft-centred chocolates in the ratio 5 : 2. If there are 49 chocolates in the box, how many are hard-centred and how many are soft- centred?
Hard-Centred___________ Soft-Centred__________
There will be total 14 hard centred and 14 soft centred choclates in the box.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that in the question hard-centred and soft-centred chocolates in the ratio 5 : 2
Hard centred/ Soft centred = 5/2
And total
Hard centred + Soft centred = 49
Now let say hard centred is H and soft centred S
H/S = 5/2 and H + S = 49
Now H = (5/2)S put into second equation
(5/2)S + S = 49
S(7/2) = 49
S = 14 now put into second equation
H + 14 = 49 = 35 hence hard centred will be 35 and soft centred will be 14.
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30 POINTS ! TRUE OR FALSE?
False, they're perpendicular
Answer:
False
Step-by-step explanation:
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=
I really need this pls
Answer:
Step-by-step explanation:
ummm so it doesnt have a y axis...
i think it should be
y=4x which is the parallel
and y= -1/4x which is perpendicular, it doesnt really pass through (4,3) so ot sure what ur teacher wants really
It takes 102 pounds of seed to completely plant a 12 -acre field. How many acres can be planted per pound of seed?
Answer:
8.5 acres
Step-by-step explanation:
12 pound = 102
1 pound= 102/12= 8.5
So we can plant 8.5 acre field with 1 pound of seed.
Please give me brainliest . :-)
show that x^2-8x+20 can be written in the form (x-a)^2+a. Where a is an integer
Answer:
(x - 4)^2 + 4
Step-by-step explanation:
x^2 - 8x + 20
= x^2 - 2*4*x + 16 + 4
= x^2 - 2*4*x + 4^2 + 4
= (x - 4)^2 + 4
= (x - a)^2 + a, with a = 4
Hope this helps!
Show that the three medians of each triangle in problem 5 intersect in a common point. (center of gravity)
We will solve as follows:
We have the triangles:
*
We can determine its medians by calculating the mid-points of each side, and then plot t
the vertex of the right isosceles triangle is the center of the square. what is the area of the overlapping region?