Answer:
Simplifying
5r2 + 5 = 130
Reorder the terms:
5 + 5r2 = 130
Solving
5 + 5r2 = 130
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 5r2 = 130 + -5
Combine like terms: 5 + -5 = 0
0 + 5r2 = 130 + -5
5r2 = 130 + -5
Combine like terms: 130 + -5 = 125
5r2 = 125
Divide each side by '5'.
r2 = 25
Simplifying
r2 = 25
Take the square root of each side:
r = {-5, 5
what is 48 *3/8 explain
Answer:
18
Step-by-step explanation:
=(
48
1
)(
3
8
)
=
(48)(3)
(1)(8)
=
144
8
=18
What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?
Answer:
14m^3
Step-by-step explanation:
Volume of the prism = base area * height
Given
Area of the cross section = 2m^2
Length = 7m
Substitute
Volume of the prism = 2 * 7
Volume of the prism = 14m^3
Hence the volume of the prism is 14m^3
a bottle of orange juice holds for 4/6 quarts of juice. a bottle of pineapple juice holds 2/3 quarts of juice. which bottle has more juice
Answer:
the orange juice has more ounces than the pineepple juice
Step-by-step explanation:
Can somebody please help me and how do you do this step by step and I need the formula for this please.
radius of ½ circle = d : 2
= 6in : 2 = 3in
Total area = Rectangle area + ½Circle area + Triangle area
= (l×w) + ½(π×r²) + (½×b×h)
= (10×6) + ½(π×3²) + (½ × (14-10) × 6)
= 60 + 14.14 + 12 = 86.14in
Answer : 86.14inSee the bold one in line 2 of total area, thats the formula of all shape.
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
Howwwwww do I solve this plssssss
Answer:
Step-by-step explanation:
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
well it is a right trianlg that means that the first side is 90 degrees
and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45
Step-by-step explanation:
6 grade math pls help and do step by step
what is the variable in this expression 5x2+x+7?
Answer:
x
Step-by-step explanation:
300x + 20 + 5x + 10 -40x2 =
Step-by-step explanation:
[tex]305x + 30 - 80 \\ 305x - 50 \\ 305x = 50 \\ x = \frac{305}{50} \\ x = \frac{61}{10} [/tex]
I need some help plz!!!
Calculate the distance between the points A=(-5, 6) and J = (1, -1) in the coordinate plane.
Answer:
7 cubic meters away
Step-by-step explanation:
Find the missing length in the right triangle.
Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.
[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]
Answer: 10ft
Step-by-step explanation:
Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)
a=6ft ; b=8ft
6ft²= 36ft ; 8ft²= 64ft
36+64=100ft
√100= 10ft
A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?
Answer:
Step-by-step explanation:
[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]
Tell whether the ratios form a proportion.
5
16.
24 15
a. Yes
b. No
c. Impossible to tell
3 12
Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)
It's 8x + 16y/2 + 4x - 4y :))
Answer:
8x+4y
Step-by-step explanation:
Distribute:
=4x+8y+(4)(x)+(4)(−y)
=4x+8y+4x+−4y
Combine Like Terms:
=4x+8y+4x+−4y
=(4x+4x)+(8y+−4y)
=8x+4y
Answer:
=8x+4y
I hope I helped!!
Which of the following is most likely the next step in the series ?
Answer:
A
Step-by-step explanation:
The colour keeps switching from red to blue to red, and red was last in the series. Therefore, a blue pattern should be next in the series.
Each time, a new hand is added to the pattern. Therefore, we add a hand.
Kirsten has to walk 2 3/4km to school. How far has she walked when she halfway? Give your answer in metres.
Answer:
375 m
Step-by-step explanation:
[tex] \frac{3}{4} \times 1000 = 750[/tex]
From halfway
[tex] \frac{750}{2} = 375[/tex]
Follow me and text me if you need anything in math.
(2x+y=-2
5x + 3y = -8
Solve by elimination
Answer:
y = -6, x =2
Step-by-step explanation:
To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.
2x+y = -2
5x + 3y = - 8
There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.
-6x -3y = 6
5x +3y = -8
Imagine you are adding the two equations together. You end up with
-x = -2
Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.
x = 2
Finally, choose one of your beginning equations and plug your new-found x value back into the equation.
2(2) +y = -2
4 + y = -2
y = -6
The array below represents the temperatures (in degrees Fahrenheit) of certain points on theinterior and boundary of a metal plate:
30 30
15 T1 T2 45
15 T3 T4 45
60 60
Assume that the temperature at each point is theaverageof the temperatures at the four neighboring points(left, right, above, and below).Set up (do not solve)a system of four linear equations whose solution gives the four temperature T1,T2,T3, andT4. (Your linear equations should all be written instandard form, meaning a linear combination ofthe variables set equal to a constant.)
Answer:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]
Required
Set up 4 linear equations to solve for T1,T2,T3, andT4
From the question, we understand that each temperature is the average of the 4 surrounding temperatures.
So, we have:
For T1, the surrounding temperatures are: 30, 15, T3 and T2.
The average is:
[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]
[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]
Multiply through by 4
[tex]4T1 = 45 + T3 + T2[/tex]
Equate variables to constant
[tex]4T1 - T3 - T2= 45[/tex]
For T2, the surrounding temperatures are: T1, T4, 45 and 30.
The average is:
[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]
[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]
Multiply through by 4
[tex]4T2 = T1 + T4 + 75[/tex]
Equate variables to constant
[tex]4T2- T1 - T4 = 75[/tex]
For T3, the surrounding temperatures are: 60, 15, T1 and T4
The average is:
[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]
[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]
Multiply through by 4
[tex]4T3 = 75 + T1 + T4[/tex]
Equate variables to constant
[tex]4T3- T1 - T4 = 75[/tex]
For T4, the surrounding temperatures are: 60, 45, T2 and T3
The average is:
[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]
[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]
Multiply through by 4
[tex]4T4 = 105 + T2 + T3[/tex]
Equate variables to constant
[tex]4T4 - T2 - T3= 105[/tex]
So, the equations are:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answer:
56 dived by 4. answer would be 14. so she would need to run two weeks
Step-by-step explanation:
Answer:
14 need to run two weeks
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION!!!!!!!!!!!!!
uhhh... my math grade is a D and i dont have my phone and i want it back so please just help me, this will get my grade up to a C or a B at least so help
Answer:
function one
Step-by-step explanation:
the x intercept in function one is a negative number
Answer: function one
Step-by-step explanation:
what was the main difference between the French and British armies in the French and Indian War
Evaluate
28.47% of 637.38cm
Give your answer rounded to 2 DP.
cm
Answer: 181.46 cm.
Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.
Julissa earns $13 per hour. If her regular hours are 40 hours per week, and she receives double time overtime,
find her total pay for a week in which she works 45 hours.
Answer:
1,040 dollars
Step-by-step explanation:
what is the measure that is complementary to an 20 degree angle
Given that 7x – 4y = 6
Find x when y=9
Answer:
6
Step-by-step explanation:
Substitute y for 9: 7x - 36 = 6
Add 36 to both sides: 7x = 42
Divide both sides by 7: x = 6
It's 6, do you need something more simplified?
y=3x +4
How do you graph this
Answer:
Step-by-step explanation:
you can use desmos to see the graph
but 4 is the y intercept, so that means you can start from the point (0, 4). then, to draw the rest of the line, you would go up 3 and right 1 because the slope is 3 or 3/1
How do you solve for a variable?
A. Use the alphabet
B. Displacement
C. Get it by itself
Answer:
C. Get it by itself
Step-by-step explanation:
When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.
