Gran is four times older than her grandson.their ages together total 75 years. a)how old is gran? b)how old will her grandson be in five years time?
Answer: a. 60 b. 20
Step-by-step explanation: 4x + x = 75
5x = 75
x = 15 (the age of the grandson)
(a) 4x = 60
(b) 15 +5 = 20
Daisy cream is sold in a bulk of 76 cups of cream. Kremlin cream is sold in a bulk of 4 1/2 gallons of cream. Marble cream is sold in a bulk of 40 pints of cream. Which one has the most cream?
Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.
An unitary method is what?The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.
Here,
We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:
=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon
Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.
Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:
=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.
As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.
Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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Can someone pls help me on this pls
Answer: A, D, and E
your answer will be 3, 700, 1.05
Step-by-step explanation:
have a nice day!!
How do you simplify
x2+2x-8
x2+6x+8
Answer:
x4+8x
Step-by-step explanation:
x2+x2=x4
2x+6x=8x
(-8)+8=0
You cant add x4 and 8x so thats your final answer
PLS HELP ME ASAP THIS DUE NOW
Answer:
First box = 3
Second box = 30
Third box = 7
Fourth box = 2
Fifth box = 7
Sixth box = 1
Step-by-step explanation:
It just simplifying.....
Need help on this one please and thank you
Answer:
64x64x64=262,144
Step-by-step explanation: mark as brainest plsssssssssssssss
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
In the given figure, the measure of the central angle CAD is 80°, the major arc is arc CBD, and minor arc is arc CD. The measure of arc BEC is 2.27r and that of arc BC is 0.87r.
About the Central Angle:
An angle formed by two radii of a circle is known as a central angle. Thus, arc BC and arc CD both subtends central angles at the center.
Since BD is the diameter of the circle,
∠BAC + CAD = 180°
It is given that ∠BAC = 100°
⇒ ∠CAD = 180° - 100°
⇒ ∠CAD = 80°
About Major Arc:
The arc which subtends an angle greater than 180° at the center, is called a major arc.
Angle subtended by arc BEC = 360° - m(arc CD)
= 360° - 80°
= 280° > 180°
∴ Arc BEC is the major arc
About Minor Arc:
The arc which subtends an angle less than 180° at the center, is called a minor arc.
⇒ Arc CD is the minor arc.
Calculating arc BEC and arc BC:
Let us assume the radius of the circle is r.
Then, the formula of the measure of an arc is given by,
θ × (π/180) × r
Here, θ is the angle ( in degrees) subtended by the arc at the center.
Arc BEC = 260 × (π/180)r ......... [Put π = 3.14]
= 2.27r
Similarly, arc BC = 100 ×(π/180) × r .......... [Put π = 3.14]
= 0.87r
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помогите пожалуйста!!
your suppose to do Base x height then you have to divide it by 2 so you'll have your answer
Which value makes the equation 3y = 48 true?
A.8
B.12
C. 16
D. 24
Answer:
12
Step-by-step explanation:
its 12 because i said so and im never wrong sooo yeah
help asap ill mark brainliest
Answer:
Step-by-step explanation:
put all of the sets in a mean median and mode calcultor then add the three numbers toghter
Let T: R2→R2 be the linear transformation that first rotates points clockwise through 30∘ and then reflects points through the line y=x. Find the standard matrix A for T.
A = ?
The standard matrix A is [ (1/2, √3/2) (√3/2, -1/2) ]
To find the standard matrix of a linear transformation, we need to find the images of the standard basis vectors under the transformation.
The standard basis vectors in R2 are (1,0) and (0,1). Let's find their images under T.
The image of (1,0) under a 30∘ clockwise rotation is (√3/2, 1/2). The image of this under reflection through the line y=x is (1/2, √3/2).
The image of (0,1) under a 30∘ clockwise rotation is (-1/2, √3/2). The image of this under reflection through the line y=x is (√3/2, -1/2).
The standard matrix of T is then the matrix whose columns are the images of the standard basis vectors:
A = [ (1/2, √3/2) (√3/2, -1/2) ]
= \(\left[\begin{array}{cc}1/2&\sqrt{3} /2\\\sqrt{3} /2&-1/2\end{array}\right]\)
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Whats 12 divided 6 equal
Answer:
2 or 1/50 as a fraction
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
Simplify -16/21 pleaseeee
Answer:
-16/21 is already in it's simplest form :D
Step-by-step explanation:
if you want the decimal form, then it's : -0.7619047619
Hope this helps! :3
plz mark as brainliest!
Without using a calculator, determine the number of real zeros of the function
fox) = x2 + 4x + x - 6.
Answer:
1, -6
Step-by-step explanation:
Since there are alike numbers, add them together.
4x+x= 5x
Now the function is: f(x)= \(x^{2}\)+5x-6
The function is in \(a^{2}\)+bx+c form.
So find the factors of a x c = b.
Factors of -6(a) that fits (b)5 is (-1,6).
Then you just factor it:
f(x)= \(x^{2}\)+5x-6
(x-1)(x+6)
x-1= 0 x+6=0
+1 +1 -6 -6
x=1 x=-6
Those are the real zeroes: 1, -6
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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Identify the slope and y-intercept of the line 4x + 2y < 3.
Answer:
Step-by-step explanation:
4x+2y<3
y<-2x + \(\frac{3}{2}\)
1/2 of Cindy's money is equal to 2/3 of Emily's money. They have $105 altogether. How much money does each of them have?
Answer:
Cindy has $45 and Emily has $60
Step-by-step explanation:
let x be the amount of money , then
\(\frac{1}{2}\) x + \(\frac{2}{3}\) x = 105
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x + 4x = 630 , that is
7x = 630 ( divide both sides by 7 )
x = 90
Cindy has \(\frac{1}{2}\) × 90 = $45
Emily has \(\frac{2}{3}\) × 90 = $60
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
please help!!!!!!!!!!!!!!!!!!!!!1
Answer: 5,000 Milligrams
Step-by-step explanation:
1 gram = 1,000 milligrams
5 grams x 1,000 milligrams = 5,000 milligrams
Happy to help :)
Select the correct answer.
A sphere has a diameter of 24 units. What is its volume in cubic units?
A. 576 cubic units
B. 1,728 cubic units
C. 2,304 cubic units
D 6,912 cubic units
Answer:
c
Step-by-step explanation:
Answer: C.2304
Step-by-step explanation:
volume for a sphere formula: V=4/3πr^3
\(V=4/3\pi r^3=4/3*\pi *12^3=7238.23\\7238.23/\pi \\=2304\\\)
How can I find the systems of linear inequalities
Use the Tabular Method to find the quotient of the polynomials shown below
Given:
\(\frac{x^3+2x^2+2x+1}{x+1}\)Required:
We need to find the quotient.
Explanation:
\(Numerator\text{ -}x^3+2x^2+2x+1\)\(Denominator-x+1.\)The degree of the denominator is 1.
The number of rows = 1+1=2.
The degree of the numerator is 3.
The niumber of columns = 3-1+1 =3.
\(Use\text{ }x\times x^2=x^3.\)\(Use\text{ 1}\times1=1.\)\(2x^2-x^2=x^2\text{ and use x}\times x=x^2.\text{ }\)The quotient of the polynomials
\(x^2+x+1\)Final answer:
\(\frac{x^3+2x^2+2x+1}{x+1}=x^2+x+1\)Lines M and N are parallel. Find the measure of ∠b.
Answer:
Angle(b)= 79°
Step-by-step explanation:
Because M and N are parallel so the answer is 79°
Also see the angle is less than 90°
Partial product 21×4
The first partial product = 4
The second partial product = 80
The final product = 84
What is the partial product?When we divide two integers into smaller portions, we refer to the partial product. In other words, we utilize the enlarged version of the integers and separately multiply tens by tens, tens by ones, ones by ones, etc. instead of executing the entire multiplication all at once. A partial product is what we name each of these pieces. After that, we sum them all together to arrive at the result.
Partial product of 21 × 4,
The first partial product = 1 × 4 = 4
The second partial product = 20 x 4 = 80
The final product = First partial product + Second partial product
Substitute the values
The final product = 4 + 80
The final product = 84
Therefore, the partial product of 21 × 4 is 4 and 80.
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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n = 44 windows yields a sample mean of 0.337 inch.
Required:
What is the probability of x >= 20.337 if the windows meet the standards?
Answer:
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.
This means \(\mu = 0.325, \sigma = 0.065\)
Sample of 44
This means that \(n = 44, s = \frac{0.065}{\sqrt{44}}\)
What is the probability of x >= 0.337 if the windows meet the standards?
This is 1 subtracted by the p-value of Z when X = 0.337. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}\)
\(Z = 1.225\)
\(Z = 1.225\) has a p-value of 0.8898
1 - 0.8898 = 0.1102
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
The expression
28 (78-14)9-13(78-49)9
can be
rewritten as
(X-y)" (262 + y? + gxy). Whatis the value of p?
Answer:
p =1 0
Step-by-step explanation:
x³(x - y)⁹ - y³(x - y)⁹ = (x - y)⁹[x³ - y³]
= (x - y)⁹(x - y)(x² + y² + xy)
= (x - y)¹⁰(x² + y² + xy)
where p = 10 and q = 1
Answer:
p = 10
Step-by-step explanation:
Given expression:
\(x^3(x-y)^9 - y^3(x-y)^9\)
Factor out the common term (x - y)⁹:
\((x-y)^9(x^3- y^3)\)
\(\boxed{\begin{minipage}{5cm}\underline{Difference of two cubes}\\\\$x^3-y^3=(x-y)(x^2+y^2+xy)$\\\end{minipage}}\)
Rewrite the second parentheses as the difference of two cubes.
\((x-y)^9(x-y)(x^2+y^2+xy)\)
\(\textsf{Apply\:the\:exponent\:rule:} \quad a^b\cdot \:a^c=a^{b+c}\)
\((x-y)^{9+1}(x^2+y^2+xy)\)
\((x-y)^{10}(x^2+y^2+xy)\)
Comparing the rewritten original expression with the given expression:
\((x-y)^{10}(x^2+y^2+xy)=(x-y)^p(x^2+y^2+qxy)\)
We can see that \((x-y)^p\) corresponds to \((x-y)^{10}\) in the given expression.
Therefore, we can conclude that p = 10.
Complete the equation: 43 in =ft .
Answer:
3.58333 feet
Step-by-step explanation:
Unicorns love eating jelly beans! If a unicorn eats 410.7 ounces of jelly beans 6 times a day, how many ounces does it eat in one day?
Answer:
2464.2
Step-by-step explanation:
you multiply 410.7 by 6 to get this
The ounces of jellybean eaten in a day is required.
The amount of jellybean the unicorns eats in one day will be 2464.2 ounces.
The ounces of jellybean eaten at one time is 410.7 ounces
The number of times jellybean is eaten during one day is 6 times.
\(1\ \text{time}=410.7\ \text{ounces}\)
So, for 6 times
\(6\ \text{times}=6\times 410.7=2464.2\ \text{ounces}\)
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Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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