Answers
#2 is the correct answer
5h would be the amount he earned helping his brother
+ 26 is how much he has
so those 2 amounts need to equal or be greater than 48
Related Questions
222+203 is rounded up to what?
Answers
[tex]Remember [/tex]↓
[tex]1-5[/tex] would rounded [tex]downward [/tex]
[tex]6-9[/tex] would be rounded [tex]upward [/tex]
A total of 504 tickets were sold for the school play. They were either adult tickets or student tickets. There were 54 more student tickets sold than adult tickets. How many adult tickets were sold?
Answers
s = a + 54
a + (a + 54) = 504
2a + 54 = 504
2a = 504 - 54
2a = 450
a = 450/2
a = 225 <=== adults
a + s = 504
225 + s = 504
s = 504 - 225
s = 279 <=== students
Using algebra, we find that 225 adult tickets were sold out of a total of 504 tickets.
Explanation:Let's denote the number of adult tickets as x. Since there were 54 more student tickets sold than adult tickets, we can represent the number of student tickets as x + 54. The total number of tickets sold is 504, so we set up the equation x + (x + 54) = 504.
Combining like terms, we get 2x + 54 = 504. Subtracting 54 from both sides gives us 2x = 450. Finally, dividing both sides by 2 gives us x = 225.
Therefore, 225 adult tickets were sold.
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Round to the nearest while decimal 6.7
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Then, [tex]six [/tex] is rounded [tex]1ten[/tex] & [tex]seven[/tex] is rounded to [tex]ten [/tex]
Your answer: [tex]7[/tex]
[tex]good\\luck \\ on \\ your \\ assignment \\ \\ \\ \\ enjoy \\ your \\ day \\ \\ \\ \\ \\ \\ MeIsKaitlyn :)[/tex]
the length of the hypotenuse is:
6.
12.
36.
[tex]6 \sqrt{3[/tex]
Answers
1/2 = 6/x
1/2x=6
x = 6X 2 = 12
The length of the hypothenuse is 12
A bird feeder is in the shape of a cylinder. It has a volume of about 100 cubic inches. It has a radius of 2 inches. What is the approximate height of the bird feeder? Use 3.14 for pi
Answers
volume = pi x r^2x h
100 = 3.14 x 2^2 x h
100 =3.14 x 4 x h
100 = 12.56 x h
h = 100/12.56 = 7.9617
the height is approximately 8 inches tall
Linda deposits $500 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 4 years?
Answers
Year 1 - $500 * 1.04 = $520
Year 2 - $520 * 1.04 = $540.80
Year 3 - $540.80 * 1.04 = $562.432
Year 4 - $562.432 * 1.04 = $584.92928
Aftere four years. Linda would be paid $84.93
A figure has a vertex at (5, 2). If the figure has line symmetry about the y-axis, what are the coordinates of another vertex of the figure?
Answers
Answer:
[tex](-5,2)[/tex]
Step-by-step explanation:
We have been given that a figure has a vertex at (5,2). The figure has line symmetry about the y-axis.
We know that if a figure is symmetric about y-axis, then its x-coordinate changes to opposite sign and y-coordinate remains same.
We can see that x-coordinate of our given point is 5, so x-coordinate of another vertex of the figure would be -5.
Therefore, the point [tex](-5,2)[/tex] is symmetric about y-axis for our given point.
In how many different ways can you make exactly 0.75 using only nickles dimes and quarters if you have at least one of each coin?
Answers
A company made 4 million in the second quarter this is 1/3 more then it made in the first quarter and 4/5 of what it made in the third quarter how much did the company make in all 3/4 combined
Answers
4 = (1+1/3)x
x = 3 million
Thus, the second quarter made 5.33 million profit.
For the third quarter, let's assign it to the y variable. Following the description,
4 = (4/5)(y)
y = 5 million
Thus, the total profit is 4 + 3 + 5 = 12 million
Three counters are used for a board game.If the counters are tossed,how many ways can at least one counter with Side A occur?
Answers
Probability = n!/r!(n-r)! * p^(n-r) * q^r
The p is the probability of getting a side A in one toss. Since a counter has only two side, p = 0.5. The q is the probability of not getting side A in one toss, which is also q = 0.5. Now, r is the number of success per n trials. There are 3 tosses so, n=3. The question is getting "at least 1" counter. So, r=1, r=2 and r=3.
Probability for r=1: 3!/1!(3-1)! * (0.5)^(3-1) * (0.5)^1= 0.375
Probability for r=2: 3!/2!(3-2)! * (0.5)^(3-2) * (0.5)^2= 0.375
Probability for r=1: 3!/3!(3-3)! * (0.5)^(3-3) * (0.5)^3= 0.125
Total probability = 0.375 + 0.375 + 0.125 = 0.875
Sara must plant 340 trees. In the past 6 days Sara planted 204 trees. If she continues at this rate, how many more days will it take her to plant all the trees?
Answers
Suppose Q and R are independent events. Find P(Q and R) if P(Q) =4/5 and P(R) =4/11
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P(Q and R) = P(Q)*P(R)
P(Q and R) = (4/5)*(4/11)
P(Q and R) = (4*4)/(5*11)
P(Q and R) = 16/55
Bill's Roast Beef sells 5 times as many sandwiches as Pete's Deli. The difference between their sales is 360 sandwiches. How Many did each sell ?
Answers
b = 5p
5p - p = 360
4p = 360
p = 360/4
p = 90 <== Pete's deli
b = 5p
b = 5(90)
b = 450 <== Bill's Roast Beef
Answer:
5y-y =360
4y =360
y= 90 sandwiches by Pete's deli
x= 5(90) = 450 sandwiches by Bills Roast Beef
Step-by-step explanation:
How many millimeters are there in 5 meters?
Answers
1 meter = 1000 mm
so 5 meters = 5 x 1000 = 5,000 millimeters
What is the slope of a line that passes through the following points (-3,8) and (2,1)
Answers
Hello!
Step-by-step explanation:
Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]
[tex]\frac{1-8=-7}{2-(-3)=2+3=5}=\frac{-7}{5}=-\frac{7}{5}[/tex]
Slope is -7/5
Answer is -7/5
Hope this helps!
Thanks!
-Charlie
:)
:D
Simplify the expression. 33 • 32 + 12 ÷ 4
Answers
The expression 33 • 32 + 12 ÷ 4 simplifies to 1059.
Explanation:To simplify the expression 33 • 32 + 12 ÷ 4, we follow the order of operations - performing multiplication and division before addition.
Multiply 33 and 32 to get 1056.Divide 12 by 4 to get 3.Now we can add the results: 1056 + 3 = 1059.
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A farmer is going to plant carrots on 5 3/14 acres, corn on 4 23/42 acres and peppers on 2 5/21 acres. If each acre requires 6 bags of fertilizer, how many bags of fertilizer does the farmer need to plant all the acres?
Answers
so
[tex]\bf 5\frac{3}{14}\implies \cfrac{5\cdot 14+3}{14}\implies \cfrac{73}{14} \\\\\\ 4\frac{23}{42}\implies \cfrac{4\cdot 42+23}{42}\implies \cfrac{191}{42} \\\\\\ 2\frac{5}{21}\implies \cfrac{2\cdot 21+5}{21}\implies \cfrac{47}{21}\\\\ -------------------------------\\\\ \cfrac{73}{14}+\cfrac{191}{42}+\cfrac{47}{21}\impliedby \textit{our LCD is just 42}\implies \cfrac{3\cdot 73+1\cdot 191+2\cdot 47}{42} \\\\\\ \cfrac{219+191+94}{42}\implies \cfrac{504}{42}\implies \cfrac{12}{1}\implies 12[/tex]
now, that's how many acres the farmer has in total
now, if each acre takes 6 bags of fertilizer, well, you surely know how much that is.
5. Simplify (15x2 – 24x + 9) ÷ (3x – 3) = ?
Answers
3x would have to multiply by 5x to get the 15x² term in the quadratic.
-3 would have to multiply by -3 to get the 9 term in the quadratic.
The second factor would, therefore, be (5x - 3) if the linear divisor is actually a factor. In this case, it is, which we can confirm by expanding.
15x² - 24x + 9 = (3x - 3)(5x - 3)
So:
(15x2 – 24x + 9) ÷ (3x – 3) = 5x - 3
the base of this solid crate has an area of 6 square centimeters the height of the crate is 4 meters what is the volume of the crate
Answers
The length * width is the area of the base, so:
[tex]Area Of Cuboid = base*height = 6 * 4 = 24 meters^3[/tex]
Answer:
2 × 10³ cm³
Step-by-step explanation:
Given data
Area of the base: 6 cm²Height of the crate: 4 m = 4 × 10² cmConsidering the crate is a cuboid, its volume (V) is:
V = length × width × height
Since
area of the base = length × width
We get
V = area of the base × height
V = 6 cm² × 4 × 10² cm
V = 2.4 × 10³ cm³ ≈ 2 × 10³ cm³ (we round off to 1 significant figure)
What is the limit for lim x -> 2 int x
Answers
2^2 / 2 equal to 2. Hence the answer to this problem is equal to 2.
richerd works at an ice cream shop. regular cones get two scopes of ice cream and large cones get three scoops. One hot saturday richard scooped 234 regular cones and 156 large cones one scoop of ice cream is 3 ounces a tub of ice cream is 10 pounds how many tubs of ice cream did richerd use to make the cones?
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234 x 2 = 468 scoops
156 x 3 = 468 scoops
468 + 468 = 936 total scoops
936 x 3 = 2808 ounces
16 ounces = 1 pound
2808/16 = 175.5 pounds
175.5/10 = 17.55 tubs
round answer as needed
Find an approximation of the area of the region R under the graph of the function f on the interval [-1, 2]. Use n = 6 subintervals. Choose the representative points to be the left endpoints of the subintervals. f(x) = 7 - x2
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The approximation of the area of the region R under the graph of the function is 18.625 square units.
In this question we must calculate the approximate area ([tex]A[/tex]) below the curve by means of Riemann sums with left endpoints, whose expression is described below:
[tex]A = \Delta x \cdot \Sigma\limits^{n-1}_{i=0} f(a + i\cdot \Delta x)[/tex], for [tex]x \in [a,b][/tex] (1)
[tex]\Delta x = \frac{b-a}{n}[/tex] (2)
Where:
[tex]a[/tex] - Lower bound[tex]b[/tex] - Upper bound[tex]n[/tex] - Number of subintervals[tex]i[/tex] - IndexIf we know that [tex]a = -1[/tex], [tex]b = 2[/tex], [tex]n = 6[/tex] and [tex]f(x) = 7 - x^{2}[/tex], then the approximate area is:
[tex]\Delta x = \frac{2-(-1)}{6}[/tex]
[tex]\Delta x = 0.5[/tex]
[tex]A = 0.5\cdot [f(-1) + f(-0.5)+f(0)+f(0.5)+f(1)+f(1.5)][/tex]
[tex]A = 0.5\cdot (6+6.75+7+6.75+6+4.75)[/tex]
[tex]A = 18.625[/tex]
The approximation of the area of the region R under the graph of the function is 18.625 square units.
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A cold front moved in last weekend. In eight hours overnight, the temperature outside dropped from 14 degrees to -10. What was the average temperature change for each hour ?
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True or False: The sample size you need to estimate the population distribution should always be at least 10% of the population size.
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False. The sample size needed to estimate the population distribution should not always be at least 10% of the population size.
Explanation:False. The statement that the sample size needed to estimate the population distribution should always be at least 10% of the population size is not true. The size of the sample needed depends on various factors such as the original population, the level of confidence desired, and the margin of error allowed. For example, if the population is large and diverse, a smaller sample may still provide a reliable estimate of the population distribution. It is important to consider statistical concepts such as normal distribution and sampling techniques when determining the appropriate sample size.
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Find the arc length of the curve on the given interval. (round your answer to three decimal places.) parametric equations interval x = 6t + 5, y = 7 − 7t −1 ≤ t ≤ 3
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[tex]x=6t+5\implies\dfrac{\mathrm dx}{\mathrm dt}=6[/tex]
[tex]y=7-7t\implies\dfrac{\mathrm dy}{\mathrm dt}=-7[/tex]
[tex]\displaystyle\int_{-1}^3\sqrt{36+49}\,\mathrm dt=\sqrt{85}(3-(-1))=4\sqrt{85}[/tex]
The arc length of the curve on the given interval −1 ≤ t ≤ 3 with parametric equation x = 6t + 5 and y = 7 − 7t −1 is 4√85.
What is integration?It is the reverse of differentiation.
The arc length of the curve on the given interval.
Parametric equations interval
x = 6t + 5, −1 ≤ t ≤ 3
y = 7 − 7t, −1 ≤ t ≤ 3
We know that the parametric form of the arc length will be given as
[tex]\rm \int _{-1}^3 \sqrt{(\dfrac{dx}{dt})^2 + (\dfrac{dy}{dt})^2} \ dt[/tex]
Then we have
[tex]\rm \dfrac{dx}{dt} = 6\\\\\dfrac{dy}{dt} = -7[/tex]
Then the arc length will be
[tex]\rightarrow \rm \int _{-1}^3 \sqrt{(3)^2 + (-7)^2} \ dt\\\\\rightarrow \sqrt{85} [t]_{-1}^3 \\\\\rightarrow 4 \sqrt{85}[/tex]
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A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are ____ units apart. A) 6.2 B) 7.2 C) 9.4 D) 13.4
Answers
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(4.2--5.2)^2+(-2--2)^2
d^2=(9.4)^2
d=9.4
Answer:
Your answer will be D.
Step-by-step explanation:
I did it on the test and got it correct.
which number produces a rational number when added to 0.5
Answers
Therefore, x +0.5= p/q where q is non zero and (p, q) co-prime.
Then, x= -0.5 + (p/q)
now you can substitute any value of p and q to get x.
Answer:
Any rational number.
Step-by-step explanation:
∴ [tex]x+0.5[/tex] is rational if and only if x is rational.
To proveL: we proceed as follows:
Suppose that [tex]x+0.5[/tex] is rational.
Then there are some integers p , q with [tex]q\neq 0[/tex] such that
[tex]x+\frac{1}{2}=\frac{p}{q}[/tex]
Subtract both sides by [tex]\frac{1}{2}[/tex], we get
[tex]x=\frac{p}{q}-\frac{1}{2}=\frac{2p-q}{2q}[/tex] which is rational.
Conversely, if x is rational, then there are integers a,b with b>0 such that [tex]x=\frac{a}{b}[/tex] then we have,
[tex]x+\frac{1}{2}=\frac{a}{b}+\frac{1}{2}=\frac{2a+b}{2b}[/tex] which is also a rational.
Express the volume of a cone, V, as a function of its radius, r, if the radius is 1/5 of the height.
Answers
A total of 487 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
s+a=487, using s from above in this equation you get:
a-63+a=487 combining like terms
2a-63=487 adding 63 to both sides
2a=550 dividing both sides by 2
a=275
So there were 275 adult tickets sold.
Final answer:
To determine the number of adult tickets sold for the school play, a system of equations is set up and solved, revealing that 275 adult tickets were sold.
Explanation:
To find the number of adult tickets sold for the school play, we need to set up a system of equations based on the information given. Let x represent the number of adult tickets and y represent the number of student tickets. According to the problem, the following two statements are true:
The total number of tickets sold is 487: x + y = 487
There were 63 fewer student tickets sold than adult tickets: y = x - 63
We can substitute the second equation into the first to find the value of x:
x + (x - 63) = 487
2x - 63 = 487
2x = 487 + 63
2x = 550
x = 275
Therefore, 275 adult tickets were sold.
One school survey showed that 3 out of 5 students own a pet. Another survey showed that 6 out of 11 students owned a pet. Are these results equivalent? Explain your reasoning.
Answers
6/11 own a pet means that (0.545) or 54.5% own a pet
Conclusion, in the 1st class more people 60% own a pet whereas in the second class only 54.5% have a pet