Answer:
[tex]40\ cm^3[/tex]
Step-by-step explanation:
Let the actual volume is V.
The measured volume of an object is 46 cubic cm which was 15% high from the actual volume.
According to the given condition,
[tex]V+\dfrac{15V}{100}=46\\\\\dfrac{115V}{100}=46\\\\V=\dfrac{4600}{115}\\\\V=40\ cm^3[/tex]
So, the actual volume was [tex]40\ cm^3[/tex].
The volume of a cone is 329.6 cubic inches, and the height is 5.4 inches. Which of the following is the closest to the radius r of the cone, in inches?
Answer:
329.6=1/3×16.97r
5.66r=329.6/÷5.66
r=58.23
Describe the graph of the line y = 15
A) line with slope of 15
B) crosses the x-axis
C) vertical line
D) horizontal line
Solve |x - 5| = 7 ......
Answer:
12,-2
Step-by-step explanation:
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2
Given:
The inequalities are:
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
To find:
The graph for the given system of inequities.
Solution:
We have,
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
The related equations are:
[tex]y=\dfrac{2}{3}x+3[/tex]
[tex]y=-\dfrac{1}{3}x+2[/tex]
Table of values
x [tex]y=\dfrac{2}{3}x+3[/tex] [tex]y=-\dfrac{1}{3}x+2[/tex]
0 3 2
3 5 1
Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].
Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].
In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.
[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.
Therefore, the required graph is shown below.
If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|
Ah what is the length of XB? I really need to learn how to solve this
Answer:
5.28
Step-by-step explanation:
we use the formula
H²=B²+P²
and we will get the answer
branliest if it is helpful
Answer:
Angle BXY
using pythogoras theory which is
hyp*2= opp*2 +adj*2
hypothenus being the longest part of the angle BX=?
Step-by-step explanation:
hyp= 4.2*2+ 3.2*2
hyp*2 =17.64 + 10.24
hyp*2 = 27.88
hyp =√27.88
hyp=5.28...Ans
note *2...square
Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes how many miles does he walks in 1 minutes
Answer:
1/12 mile
Step-by-step explanation:
We can use a ratio to solve
7/12 miles x miles
---------------- = ---------------
7 minutes 1 minute
Using cross products
7 /12 * 1 = 7x
Divide each side by 7
7/12 * 1/7 = x
1/2 = x
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes ⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀how many miles does he walks in 1 minutes⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
Randy walks 7/12 miles in 7 minutes
Sooo
He walks in one minutes is
7/12 miles in 7 minutes one minutes is [tex]\sf{\dfrac{\dfrac{7}{12}}{7} }[/tex] one minute =[tex]\sf{\dfrac{7}{12}×\dfrac{1}{7} }[/tex] one minute=[tex]\sf{\dfrac{1}{12} }[/tex][tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
Hence,
he walks in 1 minutes is 1/12 miles.
x = 4y + 3, 2x + y = -3
System of Equations
Answer:
(- 1, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 4y + 3 → (1)
2x + y = - 3 → (2)
Substitute x = 4y + 3 into (2)
2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side
8y + 6 + y = - 3
9y + 6 = - 3 ( subtract 6 from both sides )
9y = - 9 ( divide both sides by 9 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 4(- 1) + 3 = - 4 + 3 = - 1
solution is (- 1, - 1 )
A new school has x day students and y boarding students.
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720 000 a term.
Show that this information can be written as x + 2y ≥ 1200.
Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as [tex]x + 2y\geq 1200[/tex].
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are [tex]\$600[/tex] a term.
So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.
The fees for a boarding student are [tex]\$1200[/tex] a term.
The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.
Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:
[tex]\text{Total fees}=600x+1200y[/tex]
The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.
[tex]600x+1200y\geq 720000[/tex]
[tex]600(x+2y)\geq 720000[/tex]
Divide both sides by 600.
[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]
[tex]x+2y\geq 1200[/tex]
Hence proved.
What is the 7th term in the sequence below?
5, 25, 125, 625, …
A. 78,125
B. 15,625
C. 3,125
D. 825
Answer:
its 3125
Step-by-step explanation:
you multiply it by 5 every time
Answer:
C
Step-by-step explanation:
A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads
Answer:
[tex]Sets = 27[/tex]
Step-by-step explanation:
Given
[tex]Coin = 1[/tex]
[tex]Toss = 5[/tex]
Required
Number of outcomes with at most 3 heads
First, we list out the sample space of a toss of coin 5 times
[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]
Next, we list out all outcomes with at most 3 heads
, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]
So, the number of set is:
[tex]Sets = 27[/tex]
¿cual es el porcentaje de ganancia de un comerciante que vende a $4600 un producto que compró a $4000?(con desarrollo)
Respuesta:
15%
Explicación paso a paso:
Dado :
Precio de compra = $ 4000
Precio de venta = $ 4600
El beneficio obtenido por la venta del artículo:
Precio de venta - precio de compra
$ (4600-4000) = $ 600
El porcentaje de beneficio obtenido:
Beneficio / precio de compra * 100%
600/4000 * 100%
600/4000 * 100%
0,15 * 100%
= 15%
Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like.
Answer:
Step-by-step explanation:
H
Can someone please help me with this?
how to determine proofs
Answer:
check footprints and then check finger print the finger print pour powder on it and Trace
Simplify the expression. (6)8 + (6)3
Answer:
66
Step-by-step explanation:
Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3
=48+18
=66
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
o
A. y - (x - 1)(x+3)
B. y - (x + 1)(x+3)
O
C. y = (x - 1)(x-3)
Answer:
c: y=(x-1)(x-3)
Step-by-step explanation:
Intercept Form
Point (-3,4)
Slope 5
m= b=
Answer:
y = 5x + 19
Step-by-step explanation:
y = 5x + b
4 = 5(-3) + b
4 = -15 + b
19 = b
true or false? A circle could be circumscribed about the quadrilateral below.
Answer: the answer is true
Answer:
false
Step-by-step explanation:
here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed
please help answer these!!!!
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 400C.
2) Find the median for his data set of days that had a temperature above 400C.
3) Find the mode for his data set of days that had a temperature above 400C.
4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data?
Answer:
1) 11.75
2) 11.5
3) 11 and 14
4) 16.75
5) 13, and 16
Step-by-step explanation:
The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8
1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75
2) The data arranged in increasing order is presented as follows;
8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14
The count of he data points = 12
The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12 11)/2 = 11.5
The median = 11.5
3) The mode of the data set are 11 and 14
4) Where there are 5 more days per month that had a temperature above 40°C, we get;
The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5
5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;
8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2
10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16
Therefore, the mode are 13, and 16
Will mark brainlest help me please
Answer:
no le entiendo por qué estás en inglésWhich expression can be used to find the difference of the polynomials?
(10m – 6) – (7m – 4)
Answer:
3m -2
Step-by-step explanation:
(10m – 6) – (7m – 4)
Distribute the minus sign
(10m – 6) – 7m + 4
Combine like terms
3m -2
Help me please correct answers only
Answer:
well your answer should be "F"
Step-by-step explanation:
we have
Y<-2x+10 -----> inequality A
The solution of the inequality A is the shaded area below the dashed line
Y = -2x+10
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
Y<1/2x-2 ----> inequality B
The solution of the inequality B is the shaded area below the dashed line
Y= 1/2x-2
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G
i hope this helps
Solve the inequality -10w _< 20
Step-by-step explanation:
-10w< 20w< 20/-10w< -2hope it helps
stay safe healthy and happy...Divisor mayor común de 28 y 48
Answer:
mcd(28,48) = 4
Para encontrar el mcd de 28 y 48:
Los factores de 28 son 28, 14, 7, 4, 2, 1.
Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.
Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.
En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.
Por lo tanto, el máximo común divisor de 28 y 48 es 4.
can someone give me the answer for this? __ (5 + 4) = 2 * 5 + 2 * 4
Answer:
The answer is 2_____________________________
2 x 5 = 10
2 x 4 = 8
10 + 8 = 18
______________________________
5 + 4 = 9
_______________________________
_ 9 = 18
18 : 9 = 2
Find the value of sin H rounded to the nearest hundredth, if necessary
Answer:
7/25 or .28
Step-by-step explanation:
sin=opp/hyp
7/25
the area of the rectangle is 48cm^2
show that x satisfies the equation x^2 + 7x -78 = 0
Answer:
No its doesn't satisfy the equation.
[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]
Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were expected to be at the brunch. How much mayonnaise would Michele need?
1. Divide 240 by 10 = 24
2. Multiply 24 • 8 = 192
Michele will need 192 oz. of mayonnaise.
Answer:
192 oz
Step-by-step explanation:
Hi there!
1) Create a proportion
[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]
2) Solve for x
[tex]\frac{8}{10} =\frac{x}{240}[/tex]
Multiply both sides by 240
[tex]\frac{8}{10} *240=x\\192=x[/tex]
Therefore, Michele would need 192 oz of mayonnaise.
I hope this helps!
