The number of days 3 3/4 bags of tortillas will last is 5 days.
To solve this problem, we need to use the concept of fractions. We know that Lucy's burrito stand uses 3/4 of a bag of tortillas every day. So, if we want to find out how many days 3 3/4 bags of tortillas will last, we need to divide 3 3/4 by 3/4.
To do this, we can convert 3 3/4 to an improper fraction, which is 15/4. Then, we can divide 15/4 by 3/4 using the following steps:
15/4 ÷ 3/4 = 15/4 x 4/3 (we flip the second fraction and multiply)
= 60/12 (we simplify by finding a common denominator of 12)
= 5
Therefore, 3 3/4 bags of tortillas will last for 5 days at Lucy's burrito stand.
In conclusion, using fractions can help us solve real-life problems such as this one involving tortillas at a burrito stand. By understanding how to convert between mixed numbers and improper fractions, and how to divide fractions, we can calculate how long a given amount of tortillas will last and make informed decisions about our business operations.
Learn more about fractions here: https://brainly.com/question/30154928
#SPJ11
To use the two sample t procedure to perform a significance test on the difference of two means, we assume:
We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.
Given T test of significance has been used.
T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.
We know that there are many test which can be used to test a hypothesis.
The requirements to perform a two sample t procedure are as follows:
1)The two samples have equal variance. Hence the variance should be known.
2) The samples for which the two sample t procedure is performed must be independent.
3) The data are in alignment with the normal distribution probability.
4) The sample are random samples taken from different respective population.
Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.
Learn more about T test at https://brainly.com/question/6589776
#SPJ4
Stella said, "The opposite of 4 is -4. The opposite of 1 is - .
I think the opposite of a number is always negative."
Stella's claim is NOT true. Give an example of a number whose
opposite is NOT a negative number.
Answer:
Step-by-step explanation:
the number 0 doesn't have an "opposite"
The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect pink. Write an equation that describes the relationship.
Question content area bottom
Part 1
The equation enter your response here describes the relationship.
(Simplify your answer.)
The equation y = 3/4x describes the relationship
How to determine the equation that describes the relationship?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a linear graph, and we have the following points on the graph
(x, y) = (0, 0) and (4, 3)
Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as
y = Y/X * x
Where
(X, Y) = (4, 3)
So, we have
y = 3/4x
Hence, the equation is y = 3/4x
Read more about linear equations at
https://brainly.com/question/4074386
#SPJ1
-(\(\frac{1-2a}{a-5}\)) where a equals to 7
Answer:
Step-by-step explanation:
\(-(\frac{1-2a}{a-5} )\\\frac{2a-1}{a-5}\\ = \frac{2(7) - 1}{7-5}\\=\frac{13}{2}\)
Martha, Alison, and Scott buy 3.8 pounds of clay. Martha used of the clay for a sculpture. Scott used of the the remaining amount of clay to make a mug, and Alison used 1.2 pounds of clay to make a bowl. How many pounds of clay are they left with? A. 3.29 B. 0.51 C. 0.13 D. 3.67
The amount of pounds of clay left is given by the equation A = 0.51 pounds
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total amount of pounds of clay = 3.8 pounds
Now , the amount of clay used by Martha = ( 1/4 ) of the total
So , the amount of clay used by Martha = ( 1/4 ) x 3.8 = 0.95 pounds
And , the remaining amount of clay = 3.8 - 0.95 = 2.85 pounds
Now , the amount of clay used by Scott = ( 2/5 ) of the remaining
So , the amount of clay used by Scott = ( 2/5 ) x 2.85 = 1.14 pounds
And , the remaining amount of clay = 2.85 - 1.14 = 1.71 pounds
On simplifying the equation , we get
Now , the amount of clay used by Alison = 1.2 pounds
So , the remaining amount of clay = 1.71 - 1.2 = 0.51 pounds
Hence , the remaining amount of clay = 0.51 pounds
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Find equation of the line.
Answer:
-1+9
Step-by-step explanation:
-1 divide by -1 =1
so the answer is -1+9
I hope that helped and can you do my answer as a Brainliest PLEASE
If it helped don't forget to thanks
h 10 yd.
L 14 yd.
W 3 yd.
Volume=
Answer:
10yd x 14 yd x 3yd = 420yd ^3
Step-by-step explanation:
When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.
Hue is arranging chairs. She can form 2 rows of a given length with 5 chairs left over, or 6 rows of that
same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.
Hue is arranging chairs. She can form 2 rows of a given length with 5 chairs left over, or 6 rows of that
same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.
Given :there are 2 rows of given length with 5 chairs left over.6 rows of the same length if given 11 more chairsAssumption :Let, no. of chairs in each row = x
Explanation :There are 2 rows of given length with 5 chairs left over.
6 rows of the same length if given 11 more chairs 2x+5 will be equal to 6x
If 11 chairs are added to 2x+5 because 6x has 11 more chairs than 2x+5
=> 2x+5+11 = 6x
=> 2x+16 = 6x
=> 4x = 16
=> x = 16/4
=> x = 4
Answer :x=4 chairs in each row with 5 left over makes 2*4+5 = 13 chairs
add 11 chairs to 13 chairs and you get 24 chairs which is 6 rows of 4 chairs in each row.
Required Equations :2x+52x+5+11 = 6xHOPE IT HELPS
Shelby is collecting 151/2 pounds of pebbles for a geology experiment. If she collects the pebbles in buckets that hold 35/8 pounds of weight how many bucketscan she need
Answer:
4.27
Step-by-step explanation:
Shelby is collecting 15 1/2 pounds of Peebles for his geology experiment
She collects the pebbles in a bucket that holds 3 5/8 weight pounds
Therefore the number of buckets that will he required can be calculated as follows
= 15 1/2 ÷ 3 5/8
= 31/2 ÷ 29/8
= 31/2 × 8/29
= 124/29
= 4.27
Solve the following: -7(1 - 8x) = 105
Answer:
2
Step-by-step explanation:
-7 (1-8x) = 105
-7 - (-56x) = 105
-7 +56x = 105
+56x = 105 + 7
56x = 112
56x/56 = 112/56
x = 2
Let me know if you need more help!
Answer:
x = 2
Step-by-step explanation:
Rearrange the values: -7(1 - 8x) = 105 = -7(-8x + 1) = 105
Distribute: -7(-8x + 1) = 105 = 56x -7 = 105
Add 7 to both sides of the equation: 56x -7 = 105 = 56x -7 + 7 = 105 + 7
Simplify: 56x -7 + 7 = 105 + 7 = 56x = 112
Divide both sides of the equation by the same term: 56x = 112 = 56x/56 = 112/56
Simplify: 56x/56 = 112/56 = x = 2
3. Solve the problem.In one area, the lowest angle of elevation of the sun in winter is 24°. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenthsplace when necessary.
Answer:
The breakdown of the image of the question is given below as
Concept:
To figure out the value of x, we will use the trigonometric ratio below
\(\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ opposite=10.5ft \\ adjacent=x \\ \theta=24^0 \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} \tan\theta=\frac{oppos\imaginaryI te}{adjacent} \\ \tan24^0=\frac{10.5ft}{x} \\ \end{gathered}\)By cross multiplying the equation above, we will have
\(\begin{gathered} \tan24^0=\frac{10.5ft}{x} \\ x\times\tan24^0=10.5ft \\ divide\text{ both sides by tan24} \\ \frac{x\times\tan24^0}{tan24^0}=\frac{10.5ft}{\tan24^0} \\ x=23.58ft \\ x\approx23.6ft(nearest\text{ tenth\rparen} \end{gathered}\)Hence,
The final answer is
\(\Rightarrow x=23.6ft\)(3)
23
-1
2
0
d
2
e
4.
f
d =
e-
f=
Answer:
Step-by-step explanation:
this is the formula using a calculator hit 2nd then x^2 and the number you want then enterWhat is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.
A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8
Answer:
\( x = \dfrac{7 \pm 3i\sqrt{3}}{2} \)
Step-by-step explanation:
(x – 5)^2 + 3(x – 5) + 9 = 0
This is a quadratic equation in x - 5.
Let u = x - 5, then the quadratic equation becomes:
u^2 + 3u + 9 = 0
We can use the quadratic formula to solve for u.
\( u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)
\( u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} \)
\( u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} \)
\( u = \dfrac{-3 \pm \sqrt{-27}}{2} \)
\( u = \dfrac{-3 \pm 3i\sqrt{3}}{2} \)
Since u = x - 5, now we substitute x - 5 for u and solve for x.
\( x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} \)
\( x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 \)
\( x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} \)
\( x = \dfrac{7 \pm 3i\sqrt{3}}{2} \)
Answer:
x = 7+/-3i sqrt3 over 2
Step-by-step explanation:
g(x)
121x
10
8
6
fo
-6-5-4-3-2-1₂
Of(0) = g(0)
Of(-2) = g(-2)
Of(0) = g(-2)
Of(-2) = g(0)
2
799
-6
-10-
-12+
23
3 4 5 6 x
10)
The statement that is true regarding the graphed functions is that: B. f(-2) = g(-2).
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At point (2, 0), an equation of the line f(x) can be calculated by using the point-slope form:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 0 = (-4 - 0)/(-2 - 2)(x - 2)
y = -x + 2
For line g(x), we have:
y - 4 = (-2 - 4)/(0 + 2)(x + 2)
y = -3(x + 2) + 4
y = -3x - 2
When x = 0, we have:
g(0) = 0 + 2 = 2
f(0) = 0 - 2 = -2.
When x = -2, we have:
g(-2) = -(-2) + 2 = 4
f(-2) = -3(-2) - 2 = 4.
Read more on linear function here: brainly.com/question/27325295
#SPJ1
Two motorcyclist start at the same point and travel in opposite directions. One travels 8 miles an hour faster than the other. In 3 hours they are 288 miles apart how fast is each traveling
Answer:
One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.
Step-by-step explanation:
Distance = rate times time
Both motorcycles have a time of 3. We do not know the rates, but we know that one motorcycle's rate was 8 miles an hour faster. Let's call motorcycle 1's rate x then motorcycle 2's rate must be (x + 3)
Motorcycle 1
d = 3x
Motorcycle 2
d = 3(x +8)
We know that the total distance together is 288
3x + 3(x+8) = 288 Distribute the 3
3x + 3x + 24 = 288 Combine the 3's
6x + 24 = 288 Subtract 24 from both sides of the equation
6x = 264 Divide both sides by 6
x = 44
One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.
(21. Little to big ratio:22. Litt5712кGх2PJHProportion to solve for x:ProportX =FH =X=MNIII
Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.
In the given figure the triangle ΔKFG and ΔFJH
KG is parallel to JH
Hence ΔKFG is similar to ΔFJH
Now using the property of similarity and proportion we can say that:
FG/FH = KF/JF
putting the values in the above proportion we get:
7 /(7+x) = 5/ 7
or, 49 = 35 +5 x
or, 14 = 5x
or, x =14/5
or, x = 2.8
The majority of ratio and percentage explanations involve using fractions.
A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.
Hence the value of x is 2.8 units.
To learn more about proportion visit:
https://brainly.com/question/21570782
#SPJ9
What is the first step when modeling linear relationships given limited
information?
Answer: Identify the input and output values
Step-by-step explanation: As little information to find the slope we must first find these two values then convert them into two coordinate pairs.
Last year, 140 people in a community had cell phones. This year, the number of people in the community with cellphones has increased by 65%.
A. What is the percent increase
B. What is the change in thr number of people ith cellphones?
C. How many peope in the community have cellphones this year?
a 65%
b 91
c 231
now im typing so it will let me answer
ssssssssssssssssssssssssssss
pahelp badly needed!!!!
Answer:
Step-by-step explanation:
1. 2x - 28
2. 6x3 - 4x2 + 2x
3. x2 + 7x + 12
4. m2 - 4mn + 21n2
5. x2 - 9x + 18
Later, someone wants to use the data to find the amount of water at times before the sensor started. What should the sensor have read at the time -7 minutes?
it 4.56 that how i know because
graph y=2x2-12x+20 y=20
Answer:
write it in desmos and it will graph it for you
28/1/4 equals what beats per minute
Answer:
112
Step-by-step explanation:
marios heart rate and intensity level is 112
In a nova, there is a white dwarf, an evolving companion star, and a(n) ________ surrounding the white dwarf's equator.
In a nova, there is a white dwarf, an evolving companion star, and an accretion disk surrounding the white dwarf's equator.
What is an evolving companion star?The galaxy is composed of so many stars. The stars are part of the outer space and they can be seen with the help of a telescope. There are so many kinds of telescope that could be used to view the outer space.
Thus, in a nova, there is a white dwarf, an evolving companion star, and an accretion disk surrounding the white dwarf's equator.
Learn more about accretion disk:https://brainly.com/question/1900229
#SPJ4
Mia invests $7500 at a rate of 3.5% per year simple interest
Calculate the total amount she has after 5 years.
Answer:
$8812.50
Step-by-step explanation:
To calculate the simple interest earned on Mia's investment, we can use the formula:
I = Prt
where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time in years.
Plugging in the values, we have:
I = $7500 * 0.035 * 5
I = $1312.50
The total amount Mia has after 5 years is the sum of her original investment and the interest earned:
$7500 + $1312.50 = $8812.50
how to Master grade 12 Euclidean geometry
Euclidean Geometry is normally taught by starting with the statement of the theorem, then its proof (which includes the diagram, given and RTP – Required To Prove), then a few numerical examples and finally, some non-numerical examples. Have you seen the problem yet?? The PROOF is given at the beginning!
Step-by-step explanation:
hope this will help you
please mark me brainliest
Is 12345 divisible by 3?
Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility for three.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here
add all the numbers,
1 + 2+ 3 + 4+ 5 = 15
and 15/3 = 5
so it is divisible by 3
To know more about divisibility test visit:
https://brainly.com/question/240581
#SPj4
Candice's proof is a direct proof because . Joe's proof is a direct proof because . Reset Next
They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning
Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.
Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.
On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.
Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.
for more such question on reasoning visit
https://brainly.com/question/28418750
#SPJ8
Describe the shape of the sampling distribution of x. Does this answer depend on the sample size? Choose the correct answer below. O A. The shape is that of a normal distribution and depends on the sample size. OB. The shape is that of a uniform distribution and does not depend on the sample size. O C. The shape is that of a normal distribution and does not depend on the sample size. OD. The shape is that of a uniform distribution and depends on the sample size.
The correct answer is A. The shape of the sampling distribution of x is that of a normal distribution and it depends on the sample size.The shape of the sampling distribution is normally distributed, and this shape is influenced by the sample size.
The sampling distribution of x refers to the distribution of sample means or sample proportions that we would obtain if we repeatedly drew samples from the same population. According to the Central Limit Theorem (CLT), when the sample size is sufficiently large (typically n ≥ 30), the sampling distribution of x will be approximately normally distributed regardless of the shape of the population distribution. This means that the shape of the sampling distribution will resemble a bell curve.
However, when the sample size is small (n < 30) and the population distribution is not strongly skewed or has outliers, the shape of the sampling distribution may still be approximately normal. On the other hand, if the sample size is small and the population distribution is highly skewed or has outliers, the sampling distribution may deviate from a perfect normal distribution.
In summary, the shape of the sampling distribution of x is generally that of a normal distribution when the sample size is sufficiently large, but it can deviate from normality when the sample size is small or when the population distribution has extreme characteristics. Therefore, the shape of the sampling distribution depends on the sample size.
To learn more about sampling distribution click here: brainly.com/question/31465269
#SPJ11
Solve for x. Round to the nearest tenth.
Using trigonometric function the value of x is 51.3°.
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here Let us take the given right triangle as ABC.
∠A = x , ∠B = 90° and AB = 25 , AC= 40
Now using Cosine ratio then
Cos A = \(\frac{adjacent}{hypotenuse}\)
=> cos x = \(\frac{25}{40}\)
=> cos x = \(\frac{5}{8}\)
=> x = \(cos^{-1}\frac{5}{8}\)
=> x = 51.3°
Hence the value of x is 51.3°.
To learn more about trigonometric function refer the below link
https://brainly.com/question/25618616
#SPJ1
what is the slope of the line?
Answer:
3
Step-by-step explanation:
Use the slope formula
y2-y1/x2-x1