Serena has 3 3/5sq meters of wrapping paper for presents. Her grandmother has 1 1/2sq meters of wrapping paper. How much wrapping paper do Serena and her grandmother have together
Answers
Answer:
Total wrapping papers Serena and her grandmother = 51/10
Step-by-step explanation:
Serena's wrapping paper for parents:
\(3\frac{3}{5}=\frac{18}{5}\) sq metersGrandmother's wrapping paper:
\(1\frac{1}{2}=\frac{3}{2}\) sq metersIn order to determine the combined wrapping papers for both Serena and grandmother, all we need is to add both.
i.e.
Total papers = Serena's wrapping paper + Grandmother's wrapping paper
\(=\frac{18}{5}+\frac{3}{2}\)
\(=\frac{36}{10}+\frac{15}{10}\)
\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}\)
\(=\frac{36+15}{10}\)
\(=\frac{51}{10}\)
Therefore, total wrapping papers Serena and her grandmother = 51/10
Related Questions
8. Amy throws a ball so that when it is at its highest point, it passes through the centre of a
hoop. The path of the ball is modelled by the equation y=h+kx-x², where y is the
height in metres of the ball above the ground and x is the horizontal distance in metres
from the point at which the ball was thrown. The centre of the hoop is at the point where
x=2 and y = 5.
(a) Find the values of h and k.
(b) Find the value of x at which the ball hits the ground.
Answers
The values of h and k would be =2 and 2 respectively.
The value of x would be = 5.2
What is a horizontal distance?A horizontal distance is the distance that is be covered by a moving object through a horizontal pathway.
y = h + kx - 0.5x^2
When X = 2 and y = 5 is the centre of the hoop.
To calculate for y;
X max = -k/2× (-0.5)
X max = k = 2
y max = 5
Substitute the given variables into the equation and make h the subject of formula.
5 = (h + 2×2) - (0.5x^2)
5= (h + 4)- 1
h +4 = 5+1
h +4 = 6
h = 6-4
h = 2
Also from the graph, the value for x as the ball hits the ground would be = 5.2
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i will give 100 points for a simple question but the first person who answered will get what is the capital city of afghanistan
Answers
Answer:
kabul is yhe capital city
kabul is the capital city of Afghanistan.
convex or concave determine whether the following functions are convex, strictly convex, concave, strictly concave, both or neither. (a) f(x) = ex − 1 on r.
Answers
The function f(x) = ex - 1 on R is strictly convex.
To determine the convexity of the function, we can examine its second derivative. If the second derivative is positive for all x in the domain, then the function is convex. If the second derivative is strictly positive for all x in the domain, then the function is strictly convex. Similarly, if the second derivative is negative for all x, the function is concave, and if it is strictly negative, the function is strictly concave.
Taking the second derivative of f(x), we have:
f''(x) = e^x
Since e^x is always positive for all x in the domain, the second derivative is positive, indicating that the function is convex. Moreover, since e^x is strictly positive for all x, the second derivative is strictly positive, indicating that the function is strictly convex.
Therefore, the function f(x) = ex - 1 on R is strictly convex.
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solve 3/2 + 1/2x =2x
Answers
Answer:
x=1
Step-by-step explanation:
A rock was thrown from the top of a building. The distance, in feet, between the rock and the ground t seconds after it is thrown is represented by d=-16t squared -4t+382. How long after the rock is thrown is it 370 feet from the ground
Answers
Answer:
Step-by-step explanation:
please help asap!!!!!!!!!!!!!!!!!
Answers
Step 3 solving equations Solve -9v 2-108.
Answers
Answer:
-18v-108
Step-by-step explanation:
negative 18v minus 108
Someone help I have no idea what to do
Answers
Answer:
i also don't know sorry
Step-by-step explanation:
Sorry
Alonzo is making apple tarts for a party. He needs 3 apples for every 8
tarts. How many apples does he need if he wants to make 40 tarts?
(A) 18 apples
(B) 15 apples
(C) 12 apples
(D) 10 apples
Answers
Answer:
15
Step-by-step explanation:
so the amount for apples are 3 for 8.so if you multiply 8 x 5 it is 40.3 is for 8 and there is the answer
What is the scale factor of the dilation (with center at the origin) shown below?A) 1/2B) -2C.)2D) -1/2
Answers
The graph is shown having two triangle with different coordinates.
The one triangle is of larger size and othe triangle is of smaller size.
To determine the scale factor of the dilation we need to find the coordinates of the triangle.
The larger triangle coordinate are,
\(A^{\prime}=(-4,-4)\text{ ,B'}=(-2,4)\text{ , C'}=(4,2)\)The smaller triangle coordinates are,
\(A=(-2,-2),B=(-1,2),C=(2,1)\)The coordinate A is formed by multiply with
\(\frac{1}{2}\)in A' coordinate.
Similarly other coordinates is also determined by multiply with 1/2 in the corrdinates with B' and C'.
Therefore, the scale factor for dilation obtained is,
\(\frac{1}{2}\)Hence the correct option is A.
what is the vertex of g(x)=3x^2-12x+7? a) (-6,-5) b) (-2,-5) c) (2,-5) d) (6,-5)
Answers
Step-by-step explanation:
Answer:
The answer is C.) (2, -5)
The water levels in two identical tanks rise at a rate of 4 inches per second. The water level in Tank A is 3 inches at 0 seconds. The water level in Tank B is 6 inches after 3 seconds. Write a linear equation for the water level
Answers
The linear equation for the water level in Tank A is y = 4x + 3, and in Tank B is y = 4x + 6, where y is the water level in inches, and x is the time in seconds.
What is linear equation ?
A linear equation is a mathematical expression that describes a straight line on a graph. It is an algebraic equation in which each term is either a constant or a constant multiplied by a variable raised to the first power.
According to given information :To write a linear equation for the water level in the two tanks, we can use the slope-intercept form of a linear equation:
y = mx + b
where:
y is the dependent variable (the water level)
x is the independent variable (time in seconds)
m is the slope (rate of change in the water level)
b is the y-intercept (the initial water level)
For Tank A, the equation can be written as:
y = 4x + 3
where the slope m is 4 (since the water level rises at a rate of 4 inches per second), and the y-intercept b is 3 (since the initial water level is 3 inches).
For Tank B, the equation can be written as:
y = 4x + 6
where the slope m is 4 (since the water level rises at a rate of 4 inches per second), and the y-intercept b is 6 (since the initial water level is 6 inches after 3 seconds).
Note that the two tanks have the same rate of change in the water level (slope), but different initial water levels (y-intercept) due to the time difference in the initial measurement.
Therefore, the linear equation for the water level in Tank A is y = 4x + 3, and in Tank B is y = 4x + 6, where y is the water level in inches, and x is the time in seconds.
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Solve the system by substitution.
y=-7x-3
5x+4y= -35
Answers
Answer: (x,y)=(1,-10)
Step-by-step explanation:
y=-7x-3
5x+4y=-35
substitute the value of y
5x+4(-7x-3)=-35
solve the equation
x=1
substitute the value of x
y=-7 x 1-3
solve the equation
y=-10
A possible solution is
(x,y)=(1,-10)
Check the solution
-10=-7 x 1-3
5 x 1+4 x (-10)=-35
simplify
-10=-10
-35=-35
The ordered pair is a solution
(x,y)=(1,-10)
Elizabeth writes down: One multiple of 13; and Two different factors of 77. Elizabeth adds up her three numbers. Her answer is greater than fifty but less than sixty. What three numbers could Elizabeth have written down?
Answers
Answer:
7, 11, 39 OR -26, 1, 77;
Step-by-step explanation:
Mumble. Let's call the first number 13k, which is obviously a multiple of 13.
The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.
Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.
1st pass: 78-13 = 65 out
2nd pass: 65-13 = 52 in
3rd pass : 52 - 13 = 39 out
So a possible triplet is 77, 1 and -26.
Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need
1st pass: 18+13 = 31, no good
2nd pass: 31+13 = 44, out again
3rd pass: 44+13= 57, we're good!
4th pass: 57+13 = 70, too far.
So another possible triplet is 7, 11, 39.
The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.
I think of a number I multiply it by 4 subtract by 6 and the divide by 5 if the answer is 10 what was the original number
Answers
Answer:
Step-by-step explanation:
(4x-6)/5 = 10
4x-6 = 50
4x = 56
x = 14
Plot the vector field F(x,y)=(xy,x+y^2) Calculate divF.
Determine where divF>0 and where divF<0.
Answers
The divergence of the vector field F is positive for y > -1/3 and negative for y < -1/3.
To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.
Here is a sample grid of points and their corresponding vectors:
(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)
(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)
(x, y) = (0, -2) -> F(0, -2) = (0, 2)
(x, y) = (1, -2) -> F(1, -2) = (0, 2)
(x, y) = (2, -2) -> F(2, -2) = (4, 2)
(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)
(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)
(x, y) = (0, -1) -> F(0, -1) = (0, 1)
(x, y) = (1, -1) -> F(1, -1) = (0, 1)
(x, y) = (2, -1) -> F(2, -1) = (2, 1)
... and so on for other values of y and for positive values of y.
To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.
F(x, y) = (xy, x + y^2)
∂F/∂x = y
∂F/∂y = 1 + 2y
divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1
Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).
For divF > 0:
If y > -1/3, then divF > 0.
For divF < 0:
If y < -1/3, then divF < 0.
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can you help me with this question I need the answers,please.
Answers
Answer:
a: 4
b: package and shopping costs
c: 1/2 ( (6-3)/(16-10) )
d: cost of shipping per pound
e: y= 1/2x + 4
f: 92
Step-by-step explanation:
Okay bunch of answers
solve 5 - 2y = 12
what is y
Answers
a frequency distribution in which high scores are most frequent (i.e. bars on the graph are highest on the right hand side) is said to be:
Answers
A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.
In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.
Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.
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1 gram is equal to how many kilograms
Answers
1 gram is equal to 0.001 kilogram.
To convert grams to kilograms, divide grams by 1000.
Please omg I need help ASAP please! (Giving brainliest)
Answers
Answer:
Step-by-step explanation:
a 4x/5-3=12
4x/5=15
4x=75
x=75/4
b u could have done times 5 first
4x-3=60
Please write the answer on the picture so i understand carefully^^need rn
Answers
Required:
We need to fill the given diagram with suitable words.
Explanation:
Consider the first line.
There is a choice of fish-bottled water is coming from fish and bottled water.
Consider the second like there is Chicken-bottled water and we have bottled water.
There must be chicken under food.
There are only three types of drink that are Bottled water, Soft drink, and juice.
In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.
Chicken and juice give a choice of Chicken-Juice.
Vegetable and Juice give a choice of Vegetable- Juice.
What type of model does the data suggest?
Answers
since critical values of t vary by sample size, before using the t table we must first calculate
Answers
Critical values of t, which are used for hypothesis testing and confidence interval calculations, vary depending on the sample size and the degrees of freedom.
b) degrees of freedom.
Degrees of freedom (df) are calculated based on the sample size and represent the number of independent pieces of information available in the data. It is an important parameter in determining the appropriate critical value to use from the t-distribution table. Therefore, before using the t-table, it is essential to calculate the degrees of freedom of the data set in question.
Options a, c, and d are not correct answers as they do not pertain to the calculation needed before using the t-table.
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Complete Question
Since critical values of t vary by sample size, before using the t table we must first calculate:
a) the Z score.
b) degrees of freedom.
c) the population standard deviation.
d) the sample size.
The degrees of freedom will then determine the critical values of t that should be used in calculating confidence intervals or conducting hypothesis tests. Therefore, it is important to consider the sample size when working with t statistics and using the t table.
To answer your question, before using the t-table, you must first calculate the degrees of freedom. The degrees of freedom are important as they determine the critical values of t based on your sample size. Here's a step-by-step explanation:
1. Obtain your sample data.
2. Determine the sample size (n) by counting the number of data points in your sample.
3. Calculate the degrees of freedom (df) by subtracting 1 from the sample size: df = n - 1.
4. Refer to the t-table with the calculated degrees of freedom to find the critical values of t for your desired level of confidence or significance.
By following these steps, you'll be able to find the appropriate critical values of t based on your sample size before using the t-table.
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A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot.Which is the best representation of the center of this data set?A. 8B. 5C. 7D. 6
Answers
Center of a data set is a single number that sumarizes the entire data, the median is the best measure of center to use in this distribution.
Median is the midpoint value of a data set, where the values are arranged in ascending or descending order:
As a first step let's organize the data in ascending order:
3, 4, 5, 6, 7, 8, 9, 10, 11
The median is 7.
What is the result of 4 divided by one-half?
Answers
Answer:
2.67
Step-by-step explanation:
1/2=.5
4/.5=8
What are Absolute Values
Answers
Absolute values are non-negative value of a number. it can denote the distance of a number from zero
HELP WILL GIVE BRAINLY What is the slope of the line?
Answers
south dakota, elongated in the west-east direction, would be mapped using which projection in the state plane coordinate system to minimize the distortion by maximizing tangency?
Answers
The projection in the state plane coordinate system to minimize the distortion by maximizing tangency is Lambert conformal projection.
The term coordinates refers the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
Here we have given that South Dakota, elongated in the west-east direction would be mapped.
And we have to using in which projection in the State Plane Coordinate system to minimize the distortion by maximizing tangency.
As per the definition of Lambert conformal projection, it is designed to preserve shapes. And the areas are distorted away from the standard parallels, so as distance increases so does the distortion.
Based on these we have identified that the the answer is Lambert conformal projection.
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Mike’s fitness center charges $30 per month for a membership. All Day fitness center charges $22 per month plus an $80 initiation fee for membership. After how many months will the total amount paid to the two memberships be the same?
Answers
Answer:
10 months
Step-by-step explanation:
30x = 22x + 80
8x = 80
x = 10