The scouts eat 51 bags of chips on their trip
How to determine the number of bags of chips?The given parameters are:
Boxes = 9
Bag = 10 chips
2 full boxes of potato chips and 3 bags left over.
This represents:
Potato chips = 2 * 10 + 3
Potato chips = 23 i.e. 23 bags potato chips are left over
1 fewer box of nacho chips than potato chips, with no bags left over
This represents
Nacho chips = (2 - 1) * 10
Nacho chips = 10 i.e. 10 bags of nacho chips are left over
The loose bags of potato chips is 3.
So, we have:
Barbecue chips = 2 * 3 bags
Barbecue chips = 6 bags
At this point, we have:
Potato chips = 23 bagsNacho chips = 10 bags Barbecue chips = 6 bagsThe total number of bags left over is
Total = 23 + 10 + 6
Total = 39
The number of bags eaten is:
Eaten = 9 * 10 - 39
Evaluate
Eaten = 51
Hence, the scouts eat 51 bags of chips on their trip
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Find the equation of the line that passes through point (6,1) with the x-intercept of 2.
Answer:
y=1/4x-1/2
Step-by-step explanation:
For a class project student in health class ask every tenth student entering school if they eat breakfast in the morning
Please answer all 4 I really need help
The types of study that we have hereare the
surveyexperimentobservational survey1. The statistical question that has to be answered would beHow many students in this school ate breakfast?The type of study is the survey2. The question here would be
Does music help in the recalling of knowledge?The type of study that is going to be conducted would be the experiment.3. The answer that would be answered here would be
Does regular exercise affect the rate of heart beat of an individual?The observation of the study participants and their behavior would be used to determine this.4. The question would be
Is there a relationship between the physical activity of children and their energy levelThe type of study is the surveyRead more on research study here:
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Which of the following demonstrates the correct calculation for simple interest?
The statement that demonstrates the correct calculation for simple interest is " A principal balance of $10,000 at 5% interest earns $500 each year as interest.
What is a simple interest?Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Simple interest does not compound interest on an interval basis. For instance quarterly, semi annually, annually etc. This are carried out in the case of compound interest.
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Hence base don the explanation above, the statement that demonstrates the correct calculation for simple interest is " A principal balance of $10,000 at 5% interest earns $500 each year as interest.
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Someone help me with this question !,
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The side opposite to the largest angle is the longest side of a triangle.
[tex] \qquad \large \sf {Conclusion} : [/tex]
hence, we can conclude that longest side is e
( since it's opposite angle is the largest, i.e 86° )
Use a calculator to explore the pattern. Write a conjecture based on what you observe. i did the whole calculator bit, but I just am clueless about the conjecture bit. Could someone please explain this to me?
Check the picture below.
now hmmm let's observe, hmmmm 11 has two digits, and low and behold, the 2 is right in the middle, then 1 and 1 on flanking it.
let's check 111 hmmmm has three digits and has a 3 right in the middle as well, and low and behold, is flanked by a regressing count, namely an "outwards" count.
let's check 1111 and 11111, same happens, one has a digit of 4 in the middle and the other 5, and yes, the "outwards" count on each, outwards count towards 1 each time btw.
so, if we were to take that pattern, we can say that eight 1's, namely 11111111 x 11111111, will have an 8 in the middle, and will look like 1234567 8 7654321.
A car traveled at an average speed of 80 km/h for 5 hours. What was
the distance traveled?
Answer:
400 km
Step-by-step explanation:
Distance = rate times time
Distance = 80(5)
Distance = 400
Kayla created the graph below to represent the solution to the inequality Negative 8 less-than x.
A number line going from negative 11 to negative 1. A closed circle is at negative 8. Everything to the left of the circle is shaded.
What errors did she make? Select two options.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –9 as the end of the ray.
Kayla made two errors which are as follows :-
She should have used an open circle at the end of the rayShe should have pointed the arrow to the right.How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
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Match each statement (term) with its value in relation to 0 (definition).
Match Term Definition
A building is 37 feet tall. A) –13.7
The scuba diver was 37 feet below sea level. B) 2.5
The basement is 13.7 feet below ground. C) −37
Oliver owes his sister $25. D) 37
Erica jumped 2.5 feet above the ground. E) –25
The statements with their correct matches in relation to 0 are:
A building is 37 feet tall - 37The scuba diver was 37 feet below sea level = −37The basement is 13.7 feet below ground = –13.7Oliver owes his sister $25 = -25Erica jumped 2.5 feet above the ground = 2.5 What are the values in relation to 0?When a building is 37 feet tall, it means that if 0 feet was the ground level, the building would be 37 higher than 0. This is the same for the basement which will be -13.7 in relation to a ground level of 0.
Erica jumping 2.5 feet above the ground is 2.5 in relation to 0feet and the scuba driver is -37 by the same relation to 0 feet.
Oliver owes his sister $25 which means that in relation to a state of no debt or $0, Oliver is -25 deep in debt.
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Find a potential function for the vector field
(a) We want to find a scalar function [tex]f(x,y,z)[/tex] such that [tex]\mathbf F = \nabla f[/tex]. This means
[tex]\dfrac{\partial f}{\partial x} = 2xy + 24[/tex]
[tex]\dfrac{\partial f}{\partial y} = x^2 + 16[/tex]
Looking at the first equation, integrating both sides with respect to [tex]x[/tex] gives
[tex]f(x,y) = x^2y + 24x + g(y)[/tex]
Differentiating both sides of this with respect to [tex]y[/tex] gives
[tex]\dfrac{\partial f}{\partial y} = x^2 + 16 = x^2 + \dfrac{dg}{dy} \implies \dfrac{dg}{dy} = 16 \implies g(y) = 16y + C[/tex]
Then the potential function is
[tex]f(x,y) = \boxed{x^2y + 24x + 16y + C}[/tex]
(b) By the FTCoLI, we have
[tex]\displaystyle \int_{(1,1)}^{(-1,2)} \mathbf F \cdot d\mathbf r = f(-1,2) - f(1,1) = 10-41 = \boxed{-31}[/tex]
[tex]\displaystyle \int_{(-1,2)}^{(0,4)} \mathbf F \cdot d\mathbf r = f(0,4) - f(-1,2) = 64 - 41 = \boxed{23}[/tex]
[tex]\displaystyle \int_{(0,4)}^{(2,3)} \mathbf F \cdot d\mathbf r = f(2,3) - f(0,4) = 108 - 64 = \boxed{44}[/tex]
A recursive rule for an arithmetic sequence is a1=4;an=an−1−3.
What is the explicit rule for this sequence?
Enter the simplified answer in the box.
an=
I NEED HELP ASAP
The explicit rule for this sequence is [tex]a_{n} =7-3n[/tex].
What is the arithmetic sequence?"Arithmetic means" refers to repeatedly adding a fixed number to produce a series. Let n be "the number." Because the numbers in the sequence are becoming progressively negative, we might conclude that n is negative.We can locate a particular term in an arithmetic series using the method for locating the nth term. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. Therefore, enter the values a = 2 and d = 3 into the formula to determine the nth term.The Arithmetic Mean or Mean of the Group is the sum of all the numbers in a group divided by the total number of items in the list. For instance, since 5 + 7 + 9 = 21 and 21 divided by 3 [there are three numbers] is 7, the mean of the digits 5, 7, and 9 is 4.The difference between each succeeding pair of terms in an arithmetic series is always the same. The following is the explicit guideline for formulating any arithmetic sequence: a = a1 + d (n - 1)The explicit rule for this sequence:
The obvious rule for an arithmetic sequence is given as follows:
[tex]a_{n}=a_{1} +(n-1)d[/tex]
The first term = [tex]a_{1}[/tex].
The number of terms = n.
The common difference for two consecutive terms = d.
A recursive rule for an arithmetic sequence: [tex]a_{1} =4[/tex].
[tex]a_{n} =a_{n-1}-3[/tex]
The arithmetic sequence is given by:
[tex]a_{n} =a_{n-1}+d[/tex]
We get: d = -3
Substitute the given values:
[tex]a_{n} =4+(n-1)(-3)[/tex]
[tex]a_{n} =4-3n+3[/tex]
=7-3n
The explicit rule for this sequence is [tex]a_{n} =7-3n[/tex].
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The explicit rule for the given arithmetic sequence is [tex]a_n=7-3n[/tex].
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is known as the common difference of the arithmetic sequence.For example, [tex]2,5,8,11,...[/tex] is an arithmetic sequence with the first term [tex]a=2[/tex] and the common difference [tex]d=3[/tex].The formula for the nth term [tex]a_n[/tex] of an arithmetic sequence whose first term is [tex]a[/tex] and the common difference is [tex]d[/tex] can be given by [tex]a_n=a+(n-1)d[/tex].Given the recursive formula for an arithmetic sequence: [tex]a_1=4, a_n=a_{n-1}-3[/tex].
Thus, the first term of the arithmetic sequence is [tex]a=a_1=4[/tex]. using the recursive formula, we can get the 2nd term by putting [tex]n=2[/tex], [tex]a_2=a_1-3=4-3=1[/tex].
So, the common difference of the given arithmetic sequence is [tex]d=a_2-a_1=1-4=-3[/tex].
Thus, the nth term of the arithmetic sequence is given by [tex]a_n=a+(n-1)d\\\Longrightarrow a_n=4+(n-1)\times(-3)\\\Longrightarrow a_n=7-3n[/tex]
Therefore, the explicit rule for the given arithmetic sequence is [tex]a_n=7-3n[/tex].
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HELP
If 10% of x is 20, what is 23% of x?
Answer:
46
Step-by-step explanation:
Answer:
46
According to question,
10% × x = 20
x = 20 ÷ 10%
x = 20 ÷ 0.1
x = 200
Now find 23% of x
23% × 200
0.23 × 200
46
Joyce paid $59.50 for an item at the store that was 65 percent off the original price. What was the original price?
Answer:
=91.5384615385
Step-by-step explanation:
(59.5/65)x100= 91.5384615385
What is the perimeter of a triangle whose three sides are 5x+1, 6x+4, and 2x
Jon rented a car a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 400 miles and was charged $210. His friend Amanda later rented the same car for 7 days and drove 360 miles and was charged $229. What was the daily rental charge? How much did the company charge per mile?
Question 2 of 25
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
A. 0.26
B. 0.24
C. 0.28
D. 0.25
SUBMIT
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
How to estimate the sample proportion?We know that the confidence interval for sample proportion exists estimated as;
90% confidence interval = Sample proportion Margin of Error
Here, let [tex]$\hat{p}[/tex] = sample proportion
Level of significance = 1 - 0.90 = 0.[tex]$(0.22,0.28)=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]10 or 10% Critical value of z at 5% (two-sided) level of significance exists 1.645.
So, 90% confidence interval [tex]$=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots(1)$[/tex]
[tex]$0.28=\hat{p}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots (2)[/tex]
From (1) and (2) , we get;
[tex]$&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\[/tex]
Simplifying the equation, we get
[tex]$&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22 \\[/tex]
[tex]$&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06 \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645} \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.02[/tex]
Now, squaring both sides, we get;
[tex]$\frac{\hat{p}(1-\hat{p})}{n}=0.0004 \\[/tex]
[tex]$n=\frac{\hat{p}(1-\hat{p})}{0.0004}[/tex]
Now, putting value of n in (1), we get;
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{\hat{p}(1-\hat{p})} \times 0.0004}$[/tex]
Simplifying the equation, we get
[tex]$0.22=\hat{p}-1.645 \times \sqrt{0.0004}$[/tex]
[tex]$0.22=\hat{p}-(1.645 \times 0.02)$[/tex]
[tex]$0.22=\hat{p}-0.033$[/tex]
[tex]$\hat{p}=0.22+0.033=0.253$[/tex].
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
Therefore, the correct answer is option D. 0.25.
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Find the missing number
1 4 6 2 5 7 8 9 7 15 41 ?
Answer:
43
Step-by-step explanation:
I would see a pattern like this
1 4 6 2 5 7 8 9 7 15 41 ?
------------------- ---------
start pattern key
then
15 = 8 × 2 - 1
a10 = a7 × a4 - a1
41 = 9 × 5 - 4
a11 = a8 × a5 - a2
? = 7 × 7 - 6 = 43
a12 = a9 × a6 - a3
which description from the list below accurately describe the relationship between QRS and TUV? check all that apply
Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.
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Answer: All of the above
Step-by-step explanation:
I did the test
What is the value of x in the equation −6 + x = −2? Answer A. 8 B. 3 C. -4 D. -8
someone help me
Answer:
x = 4
Step-by-step explanation:
You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.
-6 + x = -2 <----- Original equation
+6 +6 <----- Add 6 to both sides to isolate "x"
0 + x = 4 <----- After the addition
x = 4 <----- Rewrite
Answer:
None of the above (x = 4) [tex] \sf {} [/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ -6 + x = -2
Then the value of x will be,
→ -6 + x = -2
→ x = -2 + 6
→ [ x = 4 ]
Hence, the value of x is 4.
the sum of three numbers is 3068.Two of the numbers are 1266 and 1755,find the third number
Answer:
47
Step-by-step explanation:
3068 - 1266 - 1755 = 47
Answer:
The third number is 47.
Step-by-step explanation:
The sum of three numbers is 3068 - this can be expressed mathematically as:
[tex]\displaystyle{x + y + z = 3068}[/tex]
Given that two of the numbers are 1266 and 1755 (in order) then substitute x = 1266 and y = 1755:
[tex]\displaystyle{1266 + 1755 + z = 3068}[/tex]
Find the third number - solve for z-variable:
[tex]\displaystyle{3021 + z = 3068}\\\\\displaystyle{z = 3068-3021}\\\\\displaystyle{z = 47}[/tex]
Therefore, the third number is 47.
Two jets leave an air base at the same time and travel in opposite directions. One jet travels 80 mi/h faster than the other. If the two jets are 11392 miles apart after 8 hours, what is the rate of each jet?
Jet 1 moves with a speed of 672 mi/h, while jet 2 moves with a speed of 672 mi/h + 80mi = 752 mi/h.
How to get the rate of each jet?
Let's say that the rate (or speed) of the slower jet is R, then the rate of the faster jet is:
R + 80mi/h
Now, if we step on any of the two jets (such that we view it as if it doesn't move) the other jet will move with a speed equal to:
S = R + R + 80mi/h
We know that after 8 hours, the to jets are 11,392 mi apart, then we know that:
(R + R + 80mi/h)*8h = 11,392 mi
Now we can solve that for R:
2*R + 80mi/h = 11,392 mi/8h = 1,424 mi/h
R = 1,424 mi/h - 80mi/h)/2 = 672 mi/h
So Jet 1 moves with a speed of 672 mi/h, while jet 2 moves with a speed of 672 mi/h + 80mi = 752 mi/h.
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30,098 in standard form full working pliz
Did not understand "full working pliz".
INDUSTRIES IS CONSIDERING PURCHASING A CERTAIN STOCK. AFTER
CONSIDERABLE RESEARCH, THE BOARD MEMBERS DETERMINE THAT THERE IS A 60% CHANCE OF MAKING $8000, A 10% CHANCE OF BREAKING EVEN, AND A 30% CHANCE
OF LOSING $6200. FIND THE EXPECTATION OF THIS PURCHASE
The numbers 1, 2, 3, 4,5, 6, 7, 8, 9 are arranged in a list so that each number is either greater than all the numbers that come before it or is less than all the numbers that come before it. For example, 4, 5, 6, 3, 2, 7, 1, 8, 9 is one such list: Notice that (for instance) the 6 is greater than all the numbers that come before it, and the 2 is less than all the numbers that come before it. How many such lists of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 are possible?
The lists of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 that are possible is; 256
How to Solve Probability Combinations?
We are told that the last digit has to be either a one (1) or nine (9), then are two (2) options (>,<) for the remaining eight digits, so there are 2⁸ = 256 arraignments where each digit is either greater than or less than the preceding digits. This can be confirmed as below;
Numbers beginning with 1 = 8C0 = 1
Numbers beginning with 2 = 8C1 = 8
Numbers beginning with 3 = 8C2 = 28
Numbers beginning with 4 = 8C3 = 56
Numbers beginning with 5 = 8C4 = 70
Numbers beginning with 6 = 8C5 = 56
Numbers beginning with 7 = 8C6 = 28
Numbers beginning with 8 = 8C7 = 8
Numbers beginning with 9 = 8C8 = 1
Total lists of numbers possible = 1 + 8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 256
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The baseball coach is 70 inches tall. How tall is the child?
There is a picture that has the child's head slightly below the coach's shoulder.
The child is 59.4 inches tall, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.
What is Heigth?Height refers to the vertical distance between the top and bottom of something.
Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.
Data and Calculations:Baseball coach's height = 70 inches
Coach's shoulder to head = 10.6 inches
Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)
Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.
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Question Completion:Assume that the height of the coach from his shoulder to the head is 10.6 inches.
10005²³ x + cos x = 11 sin²x = 9
Some of the steps in the derivation of the quadratic formula are shown. Step 4: StartFraction negative 4 a c + b squared Over 4 a EndFraction = a ( x + StartFraction b Over 2 a EndFraction) squared Step 5: (StartFractio.n 1 Over a EndFraction) StartFraction b squared minus 4 a c Over 4 a EndFraction = (StartFraction 1 Over a EndFraction) a (x + StartFraction b Over 2 a EndFraction) squared Step 6: StartFraction b squared minus 4 a c Over 4 a squared EndFraction = ( x + StartFraction b Over 2 a EndFraction) squared Step 7: StartFraction plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction = x + StartFraction b Over 2 a EndFraction Which best explains why the expression plus or minus StartRoot b squared minus 4 a c EndRoot cannot be rewritten as b plus or minus StartRoot negative 4 a c EndRoot during the next step? Negative values, like −4ac, do not have a square root. The ± symbol prevents the square root from being evaluated. The square root of terms separated by addition and subtraction cannot be calculated individually. The entire term b2 − 4ac must be divided by 2a before its square root can be determined.
The reason why we used plus or minus when taking the square root is because; The square root of terms separated by addition and subtraction cannot be calculated individually.
How to use the quadratic formula?
The general formula for a quadratic equation is;
ax² + bx + c = 0
Now, the steps to derive quadratic formula to find the roots of this equation are as follows;
Step 1; Divide both sides of the equation by a to get;
x² + (b/a)x + c/a = 0
Step 2; Transpose the quantity c/a to the right side of the equation to get; x² + (b/a)x = -c/a
Step 3; Complete the square by adding b²/4a² to both sides of the equation to get; x² + (b/a)x + b²/4a² = -c/a + b²/4a²
Step 4; Factor the left side and combine the right side to get;
(x + (b/2a))² = (b² - 4ac)/(4a²)
Step 5: Extract the square-root of both sides of the equation to get;
x + (b/2a) = ±(√(b² - 4ac))/2a
The reason why we used plus or minus when taking the square root is because The square root of terms separated by addition and subtraction cannot be calculated individually.
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The legs of a 45-45-90 triangle has lengths of 21. What is the length of the hypotenuse?
Answer:
[tex]21 \sqrt{2} [/tex]
Step-by-step explanation:
See attached image.
A van traveled 216 km in 4 hours. Find its average speed in km/h.
Answer:
86.9 km/h
Step-by-step explanation:
54 mph = 86.9046
Full number: 86.9046 km/h
Express (x + 3)² as a trinomial in standard
Answer:
x² + 6x + 9
Step-by-step explanation:
(x + 3)²
= (x + 3)(x + 3)
each term in the second factor is multiplied by each term in the first factor , that is
x(x + 3) + 3(x + 3) ← distribute parenthesis
= x² + 3x + 3x + 9 ← collect like terms
= x² + 6x + 9 ← in standard form
Given: m space measured angle space B equals 18 degree, b = 9, and c = 20. Find m space measured angle space C degree to nearest whole number.
Given the measure of angle B, side b and side, the measure of angle C to the nearest whole number is 43 degrees.
What is the measure of angle space C?
From the Rule of Sine;
sinA/a = sinB/b = sinC/c
Where A,B and C are the angles of the triangle and a, b and c are the corresponding opposing sides.
Given that;
Angle B = 18°side b = 9side c = 20Angle C = ?Using the rule of sine.
sinB/b = sinC/c
We substitute the given values into the equation
sin( 18° )/9 = sinC/20
We solve for C.
sin( 18° ) × 20 = sinC × 9
0.309016994 × 20 = sinC × 9
6.18033988 = sinC × 9
Divide both sides by 9
6.18033988/9 = (sinC × 9)/9
sinC = 0.686704431
C = sin⁻¹( 0.686704431 )
C = 43.3697°
C = 43°
Given the measure of angle B, side b and side, the measure of angle C to the nearest whole number is 43 degrees.
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