when the value below is written as an improper fraction, what is the numerator? 4.2 A.38B.41C.44D.46
Answers
The improper fraction is a fraction when the numerator is greater than or equal to the denominator
Given the number 4.2
It can be written as a mixed fraction as:
\(4.2=4+0.2=4+\frac{2}{10}=4\frac{2}{10}\)And when converted to an improper fraction will become:
\(4\frac{2}{10}=\frac{10\times4+2}{10}=\frac{42}{10}\)So, the numerator will be equal to 42
Related Questions
Find theValue of x
40°
70°
(5x+10)°
Answers
Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.
therefore,\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)
Value of x = 20°
Hey! there . Thanks for your question :)
Answer:
20° is the correct answer.Step-by-step explanation:
In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.
Solution :-
For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :
Step 1: Making equation :
\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)
Solving :
\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)
Step 2: Subtracting 10 on both sides :
\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)
We get ,
\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)
Step 3: Dividing both sides by 5 :
\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)
On cancelling , we get :
\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)
Therefore , value of x is '20°'Verification :-
For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :
40° + 70° = 5(20°) + 10°110° = 100° + 10°110° = 110°L.H.S = R.H.STherefore , our answer is correct .
Hope , it'll help you! :)#\( \underline{ \sf{ \bold{ Keep \: Learning }}}\)Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19
Answers
-16/2(-4) = 2
Substitute 2 into the equation
Y = -4(2)^2 + 16(2) - 19
Y = -16 + 32 - 19 = -3
Vertex = (2, -3)
Vertex form y+3=-4(x-2)^2
during a month with 30 days, a baseball team plays at least one game a day, but no more than 45 games. show that there must be a period of some number of consecutive days during which the team must play exactly 14 games
Answers
The period of some number of consecutive days during which the team must play exactly 14 games should be that 2 games plays at these days 1,5,10,15,20,25,30 individually....
As there are 30 days in a month.
So we have to arrange these 14 games during this time period of 30 days,
Which will be arranged as:
suppose its 1 st month of 2023,
So,
2 games at day = 1/1/2023
2 games at day = 5/1/2023
2 games at day = 10/1/2023
2 games at day = 15/1/2023
2 games at day = 20/1/2023
2 games at day = 25/1/2023
2 games at day = 30/1/2023
So from here we conduct:
2+2+2+2+2+2+2= 14 games
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What is the value of log3 729?
Answers
Answer:6
Step-by-step explanation: I do not have an explanation for you but its 6
A scientist is hoping to compare the mean levels of DDT toxin found in three species of fish in a local river. He randomly samples 50 of each species to use in the analysis. For each fish, he measures the amount of DDT toxin present. Ideally he will be able to rank the species based on the mean level of toxin found in each of the three species.
How many factors are present in this study? Choose which one
a. 50
b. 3
c. 1
d. 6
Answers
Answer:
1.
Step-by-step explanation:
We are being told that:
A scientist is hoping to compare the mean levels of DDT toxin found in three species of fish in a local river.
He randomly samples 50 of each species to use in the analysis.
i.e sample size n = 50
For each fish, he measures the amount of DDT toxin present. The amount of DDT toxin present will be use to rank the species based on the mean level of toxin.
From the information above, we will realize that the factors that are present in this study is just only one and which is the amount of DDT in a Fish because, it is the major focus in this question.
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
Answers
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $11. A random sample of 36 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.
Answers
Answer:
a
The null hypothesis is
\(H_o : \mu =\)$98
The alternative hypothesis is
\(H_a : \mu >\)$98
b
test statistics \(t_s = 1.091\)
c
The the result of the test statistics is significant
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu =\)$98
The standard deviation is \(\sigma =\)$11
The sample size is \(n = 36\)
The sample mean is \(\= x =\)$100
The level of significance is \(\alpha = 5\)% = 0.05
The null hypothesis is
\(H_o : \mu =\)$98
The alternative hypothesis is
\(H_a : \mu >\)$98
Now the critical values for this level of significance obtained from critical value for z-value table is \(z_\alpha = 1.645\)
The test statistics is mathematically evaluated as
\(t_s = \frac{\= x - \mu}{ \frac{\sigma }{ \sqrt{n} } }\)
substituting values
\(t_s = \frac{100 - 98}{ \frac{11 }{ \sqrt{36} } }\)
\(t_s = 1.091\)
Looking at \(z_\alpha \ and \ t_s\) we see that \(z_\alpha \ > t_s\) hence the we fail to reject the null hypothesis
hence there is no sufficient evidence to conclude that the mean weekly food budget for all households in this community is higher than the national average.
Thus the the result is significant
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:
Base area = side length * side length
Let's calculate the base area first:
Base area = 10.6 in * 10.6 in
Next, we'll substitute the values into the volume formula:
Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in
Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.
If a 7 inch (in) tall plant grows at a rate of 0.25 in per week, how many weeks will it take to reach a height of 15 inches?
Answers
Answer: 32 weeks
Step-by-step explanation:
So uhh we do 15 - 7 = 8
and then do 8/0.25 we get 32
so its uhh 32 weeks
The mean height of three boys is 150 centimeters. The mean height of two girls is 145.Find the mean height of five students
Answers
A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,
Mean Height of boys = Sum of height of boys / Number of boys
150 = Sum of height of boys/ 3
Sum of height of boys = 150 x 3 = 450
Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,
Mean Height of girl = Sum of height of girls/ Number of girls
145 = Sum of height of girls/ 2
Sum of height of girls = 145 x 2 = 290
Further, the mean height of five students is,
Mean height of five students = Sum of height of students / Number of students
Mean height of five students = (450 + 290)/ 5
Mean height of five students = 740 / 5
= 148
Hence, the mean height of the five students is 148.
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an airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
Answers
Answer:
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200
(REPOST) answer if you KNOW the answers!
Answers
Answer:
hello! :) have a good day!
1). 24
2). 27
3). 5
PICTURE 1:
The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)
\(13 \frac{7}{10} = 14\)
AND,
(10 1/8) Rounded To The Nearest Whole Number is: (10)
\(10 \frac{1}{8} = 10\)
So, 14 + 10 = 24
______________________________________
PICTURE 2:
The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)
\(8 \frac{1}{5} = 8\)
AND,
(2 7/8) Rounded To The Nearest Whole Number is: (3)
\(2 \frac{7}{8} = 3\)
So, 8 - 3 = 5
______________________________________
PICTURE 3:
The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)
\(58 \frac{5}{12} = 58\)
AND,
(30 5/7) Rounded To The Nearest Whole Number is: (31)
\(30 \frac{5}{7} = 31\)
So, 58 - 31 = 27
______________________________________
HERE ARE ALL THE ANSWERS:
PICTURE 1: 24
PICTURE 2: 5
PICTURE 3: 27
HOPE THIS HELPS!! :)
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answers
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Based on the graph, which of the following represents a solution to the equation?
Answers
Answer:
.......................
b (-3,-4)
Will give brainliest answer please help
Answers
Answer:
0.160573
Step-by-step explanation:
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
Answers
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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What is the slope of the line that passes through the points (-4, -1) and (-2, -5)
Answers
(-5-(-1))/(-2-(-4)) = -4/2 = -2
The slope is -2
help 50 brainly for first answer
Answers
Answer: B
Step-by-step explanation:
Fine the missing length to the nearest 10th
Answers
The value of the missing length to the nearest tenth are;
a. x = 7.5
b. x = 7.8
What is Pythagoras theorem?Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Therefore ;
c² = a²+b²
a. x² = 9²-5²
x² = 81-25
x² = 56
x = √56
x = 7.5 ( nearest tenth)
b. using Pythagoras theorem also!
x² = 6²+5²
x² = 36+25
x² = 61
x = √61
x = 7.8( nearest tenth).
Therefore the value of the missing values are 7.5 and 7.8
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Which shows the function y=3x+12 in factored form and identifies the zero of the function?
Answers
The function y=3x+12 in factored form is (3x+12) and the zero of the function is -4.
What is a linear function?A linear function is a polynomial of degree 1, or a mathematical expression that describes a relation between two variables. It is often written in the form y = mx + b, where m is the slope, x is the independent variable, and b is the y-intercept.
The factored form of a linear equation is the same as the standard form of the equation, with the exception that the coefficients of the variables are each expressed as a product of their prime factors. In the case of y=3x+12, the factored form is (3x+12). The zero of the function (also known as the root of the equation) is the value of the variable that will result in a value of 0 for the equation. To find the zero of the function, we need to set the equation equal to 0 and solve for the value of x. When we set y=0, we get 3x+12=0, which can be solved to get x=-4. Therefore, the zero of the function is -4.
The function y=3x+12 in factored form is (3x+12) and the zero of the function is -4.
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Plz I need the answer fast
Answers
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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what is the following sum in simplest form? /8+3/2+/32
Answers
Answer:
C
Step-by-step explanation:
if 2x-7 is 5 more than x+4, what is the value of 3x+5
Answers
Answer:
53
Step-by-step explanation:
Let's start with the given relation:
2x -7 = (x+4) +5
x = 16 . . . . . . . . . add 7-x
3x +5 = 3(16) +5 = 53 . . . . . multiply by 3 and add 5
The value of 3x+5 is 53.
0.47 as a percent 6th grade
Answers
Answer:
47%
Step-by-step explanation:
Answer:
0.47 = 47%
Hope this helps!
WILL GIVE BRAINLIEST ONLY IF ANSWER IS CORRECT!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!
Answers
Answer:
r=14 in
Step-by-step explanation:
The volume of a cylinder is given by:
\(v = \pi \times {r}^{2} \times h\)
So,
\(r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14\)
Step-by-step explanation:
solution given.:
radius[r] =r
height[h]=1in
volume[V] of cylinder=196πin³
we have
volume[V] of cylinder=πr²h
196π=πr×1
r²=\( \frac{196π}{π}\)
r=\( \sqrt{196} \)
r=14in
so radius is 14in
Solve the following system of equations. 4x + 3y = -5
- 3x + 7y=13
Answers
Answer: 13
Step-by-step explanation:
4x+3y=-5 solve x :
4x = -3y + -5 | -3y
1x = -0.75y + -1.25 | : 4
-3x + 7y = 13 solve x :
-3x + 7y = 13 | -7y
-3x = -7y = 13 | : (-3)
Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333
-0, 75y - 1,25 = 2,333y - 4, 333 solve y:
-0, 75y - 1,25 = 2,333y -4, 333 | -2,333y
-3, 083y - 1,25 = -4,333 | + 1, 25
-3. 083y = -3,088 | : (-3, 083)
y = 1
Plug y = 1 into the equation 4x + 3y = -5 :
4x + 3 · 1 | Multiply 3 with 1
4x + 3 = -5 | -3
4x = -8 | : 4
x = -2
So the solution is:
y = 1, x = -2
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The value of 1 unit square represented as a fraction is___
A. 1/10
B. 1/100
C. 1/1000
Answers
Answer:
B.1/100 is your answer for your question
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams of protein from other sources. How many grams of protein do you need daily?A. 50 gramsB. 52 gramsC. 96 gramsD. None of the aboveI will appreciate the help.
Answers
4%---------------------->xg
96%-------------------->48g
\(\begin{gathered} \frac{4}{96}=\frac{x}{48} \\ x=\frac{48\times4}{96} \\ x=2 \end{gathered}\)Answer:
You need:
48g + 2g = 50g
A. 50 grams
Given the function g(x) = 2x^2, for what values of y is g(x) > 0? For what values
oft is the function decreasing? For what values of y is the function increasing?
What line is the axis of symmetry?
Answers
Increasing intervals: [0,∞]