Answer:
i think it would be 1550?
Step-by-step explanation:
im pretty sure you add teh weight of the three people and convert it to one ton
Joey wants to make 2-ounce bags of trail mix for his friends. He has 2 pounds of trail mix. How many 2-ounce bags can he make?
Answer:
16
Step-by-step explanation:
2 pounds = 32 ounces
32 ounces / 2 ounces = 16 ounces
Find the nth term for the sequence:
16, 43, 88, 151, 232
Un =
A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.
We're given a point that the line intersects and its slope.
Let's use Point-slope:-
[tex]\boxed{y-y1=m(x-x1)}[/tex]
y1 = -5
m=-5
x1=-1
[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]
[tex]\boxed{y+5=-5(x+1)}[/tex]
Convert to slope-intercept:-
[tex]\boxed{y+5=-5x-5}[/tex]
[tex]\boxed{y=-5x-5-5}[/tex]
Finally,
[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Rewrite the equation below in standard form y= -1/3x +5
Answer:
x+3y=15
idrk how to explain but thats the answer
Which number line shows all the values of x that make the inequality -3x + 1 < 7 true
After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.
*whenever you divide or multiply with a negative number reverse/flip the sign
< or > signs will always have an open circle
≥ or ≤ signs will have a closed/filled in circle
TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.
< would have the arrow on the number point
this way: <-
or > which would have the arrow on the number line point this way: ->
Find the equation of the line that
is perpendicular to y = 4x + 5 and
contains the point (8,-4).
The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.
What is the Equation of Perpendicular Lines?Lines that are perpendicular to each other have slope that are negative reciprocal to each other.
Slope of y = 4x + 5 is 4.
Negative reciprocal of 4 is -1/4.
Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):
y - (-4) = -1/4(x - 8)
y + 4 = -1/4x + 2
y = -1/4x + 2 - 4
y = -1/4x - 2
Equation of the perpendicular line is: y = -1/4x - 2.
Learn more about equation of perpendicular lines on:
https://brainly.com/question/7098341
5ª×5ª=5¹¹. what r the value of a?
Answer:
I think one is 5 and another is 6 because 5+6=11
Answer:
a=5
a=6
add the exponents and keep the base the same
How much faster, in miles per minute, does Zoe bike in the first 5 minutes (0 – 5) of her trip compared to the last 5 minutes (20 – 25) of her trip?
A. 0.1 mile/minute faster
B. 0.3 mile/minute faster
C. 0.4 mile/minute faster
D. 0.5 mile/minute faster
Using proportions, it is found that the correct option regarding how much faster she is in the first 5 minutes compared to the last 5 is given by:
B. 0.3 mile/minute faster
What is a proportion?A proportion is a fraction of a total amount
Researching the problem on the internet, it is found that on the first 5 minutes, she bikes 2 miles, hence the ratio is:
r1 = 2/5 = 0.4 miles/minute.
On the last 5 minutes, she bikes 0.5 miles, hence:
r2 = 0.5/5 = 0.1 miles/minute.
The difference is given by:
D = 0.4 - 0.1 = 0.3 miles/minute.
Which means that option B is correct.
More can be learned about proportions at https://brainly.com/question/24372153
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression.
The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.
How to calculate the expression?From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.
Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.
Learn more about expression on:
https://brainly.com/question/723406
Answer:
The answer to a is 4.5, and the answer to b is 3.
Step-by-step explanation:
The averages are found as shown:
4+5=9
9/2=4.5
2+4=6
6/2=3
To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.
Example:
5+7+9=21
21/3=7
find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.
Answer:
97 1/3 or 97.3333
Step-by-step explanation:
multiply 2 2/3 by 36 1/2
:)
A fruit seller sells 41 watermelons on Thursday and 59 watermelons on Friday. The cost
of each watermelon is ₹99. Find the total amount earned by the fruit seller.
Answer:
₹9900
Explanation:
On thursday sold : 41 watermelonsOn friday sold : 59 watermelonsTotal sold : (41 + 59) = 100 watermelons
Amount earned : 100 * 99 = ₹9900
#Thursday
Melons sold=41Money earned=41(99)
4059$#Friday
Melons sold=59Money earned
59(99)5841Total:-
5841+4059=$9900
Consider f(x) = -(c+7)^2 + 4. Which of the following are true for f(x)? Check all that apply. Answer choices: the equation is a quadratic. The graph is linear. the vertex is (7,4). The axis of symmetry is x= -7. The y-intercept is (0,4). The graph has a relative maximum. The equation has no real solutions.
The answers are presented below:
The equation is a quadratic - TRUEThe graph is linear. the vertex is (7,4) - FALSEThe axis of symmetry is x= -7 - TRUEThe y-intercept is (0,4) - FALSE The graph has a relative maximum. - TRUEThe equation has no real solutions. - FALSEQuadratic function
The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
The vertex of an up-down facing parabola of the form ax²+bx+c is [tex]x_v=\frac{-b}{2a}[/tex] . Knowing the x-coordinate of vertex, you can find the y-coordinate of vertex. When a vertical line passes through the vertex of the parabola, it is called the axis of symmetry.
The y-intercept is the point where the function crosses the y-axis. And, the x-intercept is the point where the function crosses the x-axis, in other words, when y=0.
First, you should convert the given equation to Standard form.
f(x) = -(c+7)² + 4
f(x)= - (c²+14c+49)+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-49+4
f(x)= -c²-14c-45
After that, you should check each option of the question.
The equation is a quadraticCorrect because present a degree 2 -- f(x)= -c²-14c-45
The graph is linearIncorrect because it is a quadratic function and this function is represented by a parabola.
The vertex is (7,4)The coefficients are: a=-1, b=-14, c=-45. Therefore,
[tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
Incorrect because x-coordinate of vertex is -7
The axis of symmetry is x= -7.Correct because [tex]c_v=\frac{-b}{2a}=-\frac{-14}{2*(-1)} =-\frac{-14}{-2}=-(7)=-7[/tex]
The y-intercept is (0,4)You can find the y-intercept using c=0, then f(x)= -c²-14c-45 will be:
f(x)=-45.
Incorrect because the y-intercept is (0,-45).
The graph has a relative maximum.The coefficient a of a quadratic function is negative, thus the function has a point maximum. A relative maximum point is defined as the point where the function changes your direction. In other words, the values of the function increase before the relative maximum and the values decrease after the relative maximum.
Correct, see the attached image.
The equation has no real solutions.It is possible to find the number of roots or solutions from discriminant.
For quadratic equation the discriminant is determined by D=b²-4ac, where: a, b and c are coefficients.
If D > 0 - the function will have two real solutions;
If D = 0 - the function will have one real solution;
If D < 0 - the function will have imaginary solutions;
For given equation, the coefficients are: a=-1, b=-14, c=-45. Thus, D=(-14)²-4*(-1)*(-45)
D=196-180=16
D=16 thus D > 0
Incorrect because the D>0.
Read more about the quadratic function here:
brainly.com/question/1497716
the lengths of two sides of a triangle are 10 and 24. the third side is x how many whole number possible for x
Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
Make y the subject
z+2 = 2/1-y
Solve the following: A)4x-1/2=x+7
B)3x+2=2x+13/3
(Please help)
Answer:
A) x = 2.5
B) x = 7/3
Step-by-step explanation:
A) 4x - 1/2 = x + 7
4x - x = 7 + 1/2
3x = 7.5
x = 7.5/3
x = 2.5
B) 3x + 2 = 2x + 13/3
x +2 = 13/3
x = 13/3 - 6/3
x = 7/3
I hope this helps!
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
The following solution is arrived at by using the formula for the area of a regular octagon in relation to its Apotem which in this case is 18. Hence the area of the Octagon given is 1,446.
What is an Apothem?An apothem is defined as a line from the center of a regular polygon at right angles to any of its sides.
What is the area of a Regular Octagon?The calculation for this shape using only it's apothem has some curved bends. In order to derive the area, we have to divide the octagon into triangles.
When we find the area of the triangles we can then multiply by the total number to get the area of the Octagon.
Hence we can say that the area of the Octagon (A) = (1/2b*h)n
Where b = base
h = height
n = number of triangles.
Recall that the total angle in a circle is 360°, hence given that all the triangles are equal, we must divide 360° by 8 triangles to get the angle in the vertex of each triangle.
Thus, 360°/8 = 45°
So we have The angle of our triangle which is opposite the base.
Recall that the triangle is split in two so that each of the triangles are right-angled triangle,
Hence, the angle opposite the base for each right angle triangle is given as:
45°/2 = 22.5°
So to get the length of the opposite side (x), we use the law of tangents:
Which means:
x = 18 Tan 22.5°
= 18 * 0.55785173935
≈ 10.04
So if x is ≈ 10.04, then area of that triangle is
= 1/2 * 10.04 * 18 (that is 1/2bh)
= 90.3792
From the above, we can state that the Area of the triangle with the Apothem is
= 90.3792 * 2
= 180.74
Recall our formula for finding the area of the octagon:
A = (1/2bh)n
A = (108.74) *8
A = 1,445.95
≈ 1,446
Learn more about Areas of Octagons at:
https://brainly.com/question/358118
factor with GCF
3x^2y + 6xy - 9xy^2
[tex]3x^2y+6xy-9xy^2\\\\=3xy(x+2-3y)[/tex]
Write the equation of the line, in general form, that has a slope of 3 and a y-intercept of -5.
Answer:
y = 3x - 5
Step-by-step explanation:
To find the equation of the line, you can use y = m x + c.
Here,
m ⇒ slope
c ⇒ y-intercept
Given that,
slope = 3
y-intercept = -5
So, to find the equation of the line you have to simply replace m and c in the formula, (y = m x + c )with the given slope and y-intercept.
Let us solve it now.
y = m x + c
y = 3x - 5
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-intercept form of an equation
y = mx + bm = slopeb = y-interceptGiven that m = 3 and b = -5
y = 3x - 5What is the probability that the spinner will land on the number 1?
Answer:
30% or 4/12
Step-by-step explanation:
Answer:
33.333...% (2/3)
Step-by-step explanation:
the number 1 makes up one third of the numbers on the spinner.
Factor the polynomials comletely, then solve 9x^2 +66x+21 = 0
Answer:
x= -1/3
x = -7
Step-by-step explanation:
9x^2 +66x+21 = 0
a=9 b=66 c=21
quadratic formula
x=(-b +/- square root of (b^2 – 4ac))/(2a)
x = (-66 +/- square root of (66^2 -4*9*21))/(2*9)
x = (-66 +/- square root of (4356 -756))/(18)
x = (-66 +/- square root of (3600))/(18)
x = (-66 +/- 60)/18
split the fraction
(-66 +/- 60)/18 = -6/18 and -126/18 because of the +/-
x = -6/18 x = -126/18
x = -1/3 x = -7
[tex]~~~~~~9x^2+66x+21 = 0\\\\\implies 3(3x^2+22x+7)=0\\\\\implies 3x^2+22x+7=0\\\\\implies 3x^2 +21x +x +7=0\\\\\implies 3x(x+7) +(x+7)=0\\\\\implies (x+7)(3x+1)=0\\\\\implies x = -7~~ \text{or}~~ x =-\dfrac 13[/tex]
At the beginning of the year, Alyssa had $100 in savings and saved an additional $7 each week thereafter. Colton started the year with $55 and saved $10 every week. Let AA represent the amount of money Alyssa has saved tt weeks after the beginning of the year and let CC represent the amount of money Colton has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the amount of money Alyssa and Colton have saved in the week that they have the same amount of money saved.
The equation that represents the amount saved by Alyssa after tt weeks is AA = 100 + $7tt
The equation that represents the amount saved by Colton after tt weeks is CC = $55 + $10tt
The amount they would have when they have same amount of money is $205.
What equation represents the total amount saved?The total amount saved: inital amount + (amount saved per week x total number of weeks
AA = 100 + $7tt
CC = $55 + $10tt
What would be the amount when they have the same amount of money?$55 + $10tt = 100 + $7tt
Combine similar terms and solve for tt
100 - 55 = 10tt - 7tt
45 = 3tt
tt = 15 weeks
100 + $7(15) = $205
To learn more about linear functions, please check: https://brainly.com/question/26434260
For a 12-month period, the numbers of inches of snow per month in Chicago
were:
11, 10, 6, 1,0,0,0,0,0, 1, 2, 9
What is the range of the data values?
O A. 6.
B. 1
C. 11
D. 10
Answer:
C. 11
Step-by-step explanation:
Calculating range is subtracting the highest data value(11) from the lowest data value(0)
11 - 0 = 11
Help pls use π = 3.14 and round your answer to the nearest hundredth
The volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.
What is the Volume of a Sphere?Volume of a sphere, where r is the radius of the sphere, is determined using the formula, V = 4/3 × π × r³.
Given the radius of the sphere is 4 feet
Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 4³
Volume of the sphere = 268.08 ft³
Therefore, the volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.
Learn more about volume of sphere on:
https://brainly.com/question/22807400
select all the expressions that equal 3 to the power of 4.
A.7
B.4 to the power of 3
C.12
D.81
E.64
F.9 to the power of 2
The equivalent expression of 3 to the power of 4. is 9 to the power of 2.
How to determine the equivalent expression?The expression is given as:
3 to the power of 4.
Mathematically the expression is
[tex]3^4[/tex]
Express 4 as 2 * 2
[tex]3^{2*2}[/tex]
Evaluate 3^2
[tex]9^2[/tex]
This means that:
9 to the power of 2.
Hence, the equivalent expression of 3 to the power of 4. is 9 to the power of 2.
Read more about equivalent expression at:
https://brainly.com/question/2972832
#SPJ2
Which expression(s) are equivalent to (5^1/8 times 5^3/8
A.) 5^3/2
B.) 5^9/8
C.) Squareroot 5^3
D.) (^8squareroot 5)^9
[tex]5 {}^{ \frac{1}{8} } \times 5 {}^{ \frac{3}{8} } [/tex]
[tex] = 5 {}^{ \frac{1 + 3}{8} } = 5 {}^{ \frac{4}{8} } = 5 {}^{ \frac{1}{2} } = \sqrt{5} [/tex]
Jose made 5 2/3 cups of juice. He served 3/4 of it at dinner. Which equation shows the amount of juice that Jose served?
Answer:
4 1/4 cups were served
Step-by-step explanation:
Just multiply 5 2/3 cups by 3/4:
17 3
---- * ---- = 4 1/4 cups were served.
3 4
An equation shows the amount of juice that Jose served is x= 3/4 × 17/3.
What is the product of two fractions?The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their numerators / Product of their denominators.
Given that, Jose made [tex]5\frac{2}{3}[/tex] cups of juice. He served 3/4 of it at dinner.
Here, [tex]5\frac{2}{3}[/tex] cups can be written as 17/3
Let the amount of juice that Jose served be x
Now, x= 3/4 × 17/3
x= 17/4
x= [tex]4\frac{1}{4}[/tex] cups
Therefore, an equation shows the amount of juice that Jose served is x= 3/4 × 17/3.
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
#SPJ2
im stuck lol i just need a answer
Answer:
131 here is the answer and your welcome
answer this easy please help
Answer:
1320
Step-by-step explanation:
The sample ad 600 chips. They wanted to test 36000 chips. 600*60=36000
If 22 out of 600 chips were defective, and 600*60=36000
Then 1320 chips were defective out of the 36000 because 22*60=1320.
4. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a primary
school, and so on in an arithmetic sequence. What's the total amount of students in the primary school? (Primary
School has 6 grades)
Answer:
well jus subtract
Step-by-step explanation\
think about it
Answer:
The total amount of students in the primary school is 1,980.
Step-by-step explanation:
130, 210, 290, ......
210 - 130 = 80
The difference between each grade is 80 students.
(g = grade)
g1 = 130, g2 = 210, g3 = 290, g4 = 370, g5 = 450, g6 = 530
130+210+290+370+450+530 = 1980
(1 + 1/x)^x = 1.0825
find the value of x.
Answer: about 0.0202161
Step-by-step explanation:
This is a transcendental equation, so graph the two equations and find the x coordinate where they intersect.
