Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
What is the median of the numbers 2 5 6 8 10
Answer:
Median is 6
hope it helps u!!! have a great day ahead..
Answer:
6
Step-by-step explanation:
because a median means. the number located at the centre of of the Patten
10 mins to submit please help FAST
Answer:
Step-by-step explanation:
I got 408.33. dont know how to help you out
How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax)
Answer:
59.50
Step-by-step explanation:
If u can, Can u show the working on typeing it or just tell the answers;)
The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday
Answer:
We can conclude that the room temperature on Saturday was 24°C
Step-by-step explanation:
For a set of N values:
{x₁, x₂, ..., xₙ}
The mean of the set is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case, our set is the temperature of 7 days (so we have 7 elements)
{T₁, T₂, T₃, T₄, T₅, T₆, T₇}
Such that:
T₆ = temperature on Saturday
T₇ = temperature on Sunday.
We know that:
"The mean room temperature from Monday to Saturday is 25°C"
Then:
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]
"the mean room temperature of Saturday and Sunday is 28°C"
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
"The mean room temperature from Monday to Sunday is 26°C"
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]
So we have 3 equations.
Let's rewrite:
T₁ + T₂ + T₃ + T₄ + T₅ = A
Then we can rewrite our equations as:
[tex]\frac{A+ T_6}{6} = 25 C[/tex]
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]
Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:
A + T₆ = 6*25
T₆ + T₇ = 2*28
A + T₆ + T₇ = 7*26
We now need to solve that system for T₆
The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:
A = 6*25 - T₆
A = 150 - T₆
Now we can replace this on the other two equations:
T₆ + T₇ = 2*28
(150 - T₆ ) + T₆ + T₇ = 7*26
Now, let's isolate T₇ in the top equation to get:
T₇ = 2*28 - T₆
T₇ = 56 - T₆
Now we can replace this in the last equation to get:
(150 - T₆ ) + T₆ + (56 - T₆) = 7*26
Now, we can solve this for T₆
150 - T₆ + T₆ + 56 - T₆ = 182
-T₆ = 182 - 150 - 56
-T₆ = -24
T₆ = 24
We can conclude that the room temperature on Saturday was 24°C
If each square on the grid represents 400 miles how many miles would Jacob's family travel in total
Answer:
80miles
Step-by-step explanation:
400=L
L[tex]\sqrt{400[/tex]
=20
to find p
4L
4(20=80
what is the smallest angle of this triangle
17,26,29
Please help with this
Answer:
A
Step-by-step explanation:
The best way to prove the answer is to equate the two equation and solve for the x-coordinate..however in these equation the x value is zero so the y value will alternatively be zero hence there lines consist of no points of intersection
Find the missing parts (I will give brainliest)
Answer:
a-d=90
e= 34
f= 56
g= 56
h= 34
i= 34
j= 56
k= 56
Which of the following choices is NOT one of the six tenses of verbs?
past participle
future perfect
future
present perfect
Answer:
past participle
Step-by-step explanation:
all of the other ones are correct
How much would $300 invested at 7% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent.
Answer:
8400 cents
Step-by-step explanation:
SI=P×T×R
100
300×4×7
100
=$84
=8400 cents
Answer:
$396.94
Step-by-step explanation:
formula:
[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]
which rounds to 396.94
Which of the following represents 2x-5y + 15 = 0 written in slope-intercept form?
Oy=x+3
Oy=2x-3
Oy=-3x+3
A student said that the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius. What is the error?
Step-by-step explanation:
Let V be the volume of the cone.
The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.
If diameter is 4 inch, radius = 2 inch
Volume of the cone,
[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] .......(1)
If radius, r = 2 inch
New volume,
[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] ....(2)
We can see that the volume in both case is same. Hence, the student is correct.
Is a 12 oz. bag of takis chips for $3.40 better than a 3 oz. bag of takis chips for $0.75 ??
Answer:
Yes, it is better.
Step-by-step explanation:
3 oz. = $0.75
multiply each by 4
12 oz. = $3
Answer:
NO
Step-by-step explanation:
(4) 3oz bags are 12 ounces
0.75 * 4 = $3.00
So the 12 oz bag is not a good buy.
Two odd numbers are selected at random from integers 11 through 22. Find the
probability that the two numbers are multiples of 3 after replacing first? JUST
SHOW MATH!*
Probability that the two numbers are multiples of 3 after replacing first
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odd integers from11 to 22 are
11,13,15,17,19,21
So there are 6 events
Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.
One number out of these 2 numbers can be chosen in 2 ways.
Therefore, favourable number of elementary events = 2.
Required probability =2/6=1/3
Hence 1/3 is the probability that the two numbers are multiples of 3 after replacing first
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Which point justifies the shaded area by satisfying StartFraction x squared Over 16 EndFraction
+ StartFraction y squared Over 4 EndFraction less-than-or-equal-to 1? (1, 1) (4, 1) (-1, 2) (2, -2)
Answer:
A
Step-by-step explanation:
Edge 2021
The point justifies the shaded area is (1, 1).
What is Equation of Ellipse?Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.
This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.
Given:
x²/ 16 + y²/ 4 ≤ 1
As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.
Now, when we plot the Equation in the graph we get the elliptical shape.
From the given point the point which lies inside the graph is (1, 1).
Learn more about Equation of Ellipse here:
https://brainly.com/question/28028155
#SPJ6
Find the value of x.
2x
20°
A. 80
B. 10
C. 35
O D. 45
Answer:
x = 10
Step-by-step explanation:
2x = 20°
x = 20/2
x =10
Answer:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:
heya heya heya math question please
thanks in advance :')
Triangle ABC is congruent to Triangle DEF. What corresponds with
Answer:
<E
Step-by-step explanation:
Answer:
∠E is the answer I believe
If i'm wrong correct me!!
(°◡°♡).:。
Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?
Answer:[tex]31.17\ in[/tex]
Step-by-step explanation:
Given
Edge length of cube is [tex]a=18\ in.[/tex]
From the figure, distance between the opposite corner of the tank is
[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]
Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]
[tex]find \: the \: volume \: of \: cube \: \\ \\ side = 5m[/tex]
Volume of Cube = a³
side a = 5 Cm
Volume = 5³ = 125 Cm³
Answer:
125m³
Step-by-step explanation:
GIVEN :-
Length of a side of a cube = 5mTO FIND :-
Volume of cubeGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Volume of a cube = a³ (where a = length of each side of a cube)
SOLUTION :-
Volume of the cube = 5³ = 125 m³
When multiplying fractions we don’t have to worry about finding (blank) why?
SOMEONE HELP PLEASEEEEEEEE
Answer:
a common denominator
Step-by-step explanation:
Find the degree measure of each angle in the triangle.
Answer:
∠K = 46° ∠L = 90° ∠J = 44°Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
90° (4x + 10)° (2x + 26)°Solving according to angle sum property,
Sum of all angles in a triangle is 180°
[tex]\longrightarrow[/tex] 90° + (4x + 10)° + (2x + 26)° = 180°
[tex]\longrightarrow[/tex] 126° + 6x = 180°
[tex]\longrightarrow[/tex] 6x = 180° - 126°
[tex]\longrightarrow[/tex] 6x = 54°
[tex]\longrightarrow[/tex] x = 9
Angles =
[tex]\longrightarrow[/tex] 4(9) + 10
[tex]\longrightarrow[/tex] 46°
[tex]\longrightarrow[/tex] 2(9) + 26
[tex]\longrightarrow[/tex] 44°
∠K = 46° ∠L = 90° ∠J = 44°The angles are 46°, 90° and 44°.
Alice draws a triangle and measures two of the angles with a protractor. The angle measures are 65 and 45. Cal says the measure of the third angle is 60. Explain why Cal's answer is incorrect.
Answer: Cal's answer must be incorrect because the sum of angles is incorrect.
Step-by-step explanation:
The sum of all interior angles of a triangle is 180 degrees.
According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.
Sum of angles = 65+45+60
i.e. Sum of angles = 170 which is not equal to 180
Hence, Cal's answer must be incorrect because the sum of angles is incorrect.
HELP!!! =∆=
Applying the Pythagorean theorem, solve this triangle.
Answer:
c = sqrt(106)
Step-by-step explanation:
Since this is aright triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 9^2 = c^2
25 +81 = c^2
106 = c^2
Taking the square root of each side
sqrt(106) = sqrt(c^2)
c = sqrt(106)
HURRY PLEASE!!!!!! Boden's account has a principal of $300 and a simple interest rate of 4.4%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer:
$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
now we multiply !
500 × 0.033 × 4 = 66 = $66.00
PLZ HELP I WILL MARK BRAINLIEST
NO LINKS!!!
Help me
Press on pic to see it fully
Answer:
[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]
A wire was bent into the shape of a rectangle with width 5 and length 7 . If this wire
is bent into the shape of a square, what is the length of a side of the square?
A) 3
B) 6
C) 24
D) 35
Answer:
B | 6
Step-by-step explanation:
First, find the length of the wire by finding the perimeter of the rectangle
2(5) 2(7) = 24
If a square has 4 sides, put 24 as the numerator and 4 as the denominator.
24/4
Now, divide it and you'll get 6, the answer.
Peter has saved $40. He will add $35 to his savings each week. Veronica has saved
$60, and will add $35 to her savings each week.
How much will each person have saved after 5 weeks?
O A. Peter: $355; Veronica: $315
OB. Peter: $215; Veronica: $235
OC. Peter: $320; Veronica: $340
OD. Peter: $235; Veronica: $215
Answer:
B ) P 215 V 235
Peter 35×5=175+40=215
Veronica 35×5=175+60=235