Answer:
x = 27
Step-by-step explanation:
Both angles together form 180 degree.
Set your formula up as
180 = (5x+2) + (x + 16)
180 = 5x + 2 + x + 16
180 = 6x + 18
180 - 18 = 6x
162 = 6x
162/6 = x
27 = x
Answer:
27°
Step-by-step explanation:
They are in a straight line , therefore ,
> 5x + 2 + x + 16 = 180
> 6x + 18 = 180
> 6x = 180 - 18
> 6x = 162
> x = 27
Hence the required answer is 27°
A motorboat travels miles in hours going upstream. It travels miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current
Answer:
x = 49 mi/hr
y = 6 mi/hr
Step-by-step explanation:
A motorboat travels 258mi in 6 hours going upstream. It travels 330mi going downstream in same amount of time. What's the rate of the boat in still water and what is the rate of the current.
Let
x = the speed of the boat in still water.
y = the speed of the stream
The speed upstream is x - y
The speed downstream is x + y
Distance = rate × time
258 = (x - y)6 (1)
330 = (x + y)6 (2)
From (1)
x - y = 43 (3)
From (2)
x + y = 55 (4)
x - y = 43 (3)
x + y = 55 (4)
Add the equations to eliminate y
x + x = 43 + 55
2x = 98
x = 98/2
x = 49 mi/hr
Substitute x = 49 into (4)
x + y = 55 (4)
49 + y = 55
y = 55 - 49
y = 6 mi/hr
38 3 If p - q is true, thenq - p is false.
Answer:
yess it is by the benefactor
Step-by-step explanation:
The perimeter of a triangular park is (16x + 3) feet. Two of the sides are 5x - 1 and 2x + 5. What is the missing length?
Answer:
9x - 1
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
the perimeter of a triangle = sum of the side lengths
missing length = perimeter - sum of the two sides
sum of the two sides = (5x -1) + (2x + 5) = 7x + 4
missing length = 16x + 3 - (7x + 4) = 9x-1
Abput 1/4 of fruit punch is pineapple juice. About 1/6 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice
Answer:
5/12
Step-by-step explanation:
Given
Fraction of punch that is pineapple juice = 1/4
Fraction of punch that is orange = 1/6
Taking the sum;
fraction of the punch that is pineapple juice or orange juice = 1/4 + 1/6
fraction of the punch that is pineapple juice or orange juice = 3+2/12
fraction of the punch that is pineapple juice or orange juice = 5/12
Hence the fraction of the punch that is pineapple juice or orange juice is 5/12
A car travels on a straight road with a velocity of 25km/hour in first one hour and in the
next one hour it changes its speed to 35km/hour. What is the average velocity of the car?
The Average Velocity (A.V) of car
is 8.33m/s .
This is a Right answer...
The perimeter of a rectangle is 36m. If the length is 12m, what is the area?
(-3,4),(2,4),(5,0),(2,-4),(-3,-4),(-6,0)
Find the perimeter of the polygon with the given coordinates.
Answer:
Step-by-step explanation:
Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.
Please help me I’m in finals a don’t want to fail
Answer:
1, 2, 3
Step-by-step explanation:
X <= 20 means that x has to be less than OR equal to 20.
The first option is -100. That's less than 20, so this statement is true.
The second option is 10. That's also less than 20, so this statement is also true.
The third option is 20. This is equal to 20, so this is also true.
The fourth option is 21, which is greater than 20, so it's not true.
The fifth option is 45, which is greater than 20, so it's not true.
Sorry I answered so late, hope this helps even though you probably don't need it anymore.
find the volume of a cylinder with a height of 10 and a radius of 2.
125.6in(3) 502.4in(3)
Answer:
125.6 cubic inches
Step-by-step explanation:
The formula for volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
---------------------------------------------------------------------------------------------------------------
So:
[tex]\pi[/tex] × 4 × 10 = 125.6
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable
Answer:
See belowStep-by-step explanation:
Solution
2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8Order of operations
= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variablehelppppppppppppppppppp
Answer:
Encourage po
Step-by-step explanation:
Pls solve, need help
Answer:
The answer is c
Step-by-step explanation:
because it is equal to the fraction above
find the value of x round to the nearest tenth. 10 7 x
Answer:
Step-by-step explanation:
10.6= 11 when rounded
Trust me po hehe
Six girls were playing a game with marbles. The 48 marbles were to be divided evenly among the girls. How many marbles did each girl receive?
20+(5 + 7) = x - 14 I need help take your time
Answer: x = 46
Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14
Answer:
[tex]x=46[/tex]
Step-by-step explanation:
[tex]20 + (5+7)=x-14[/tex]
[tex]20+12=x-14[/tex]
[tex]32=x-14[/tex]
Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side
[tex]x-14=32\\[/tex]
[tex]x=32+14[/tex]
[tex]x=46[/tex]
For Matt’s birthday, he can take up to five friends with him to the movies. The cost per person for the movie and snacks is $21.75. Which of the following is a reasonable range for this situation?
Answer:
{21.75, 43.50, 65.25,87,108.75,130.50}
Step-by-step explanation:
Which situation can be modeled by the equation 705 – m= 430?
Help plsss anyone help plsss
Answer:
[tex]\frac{1}{70}[/tex]
Step-by-step explanation:
P(gold) = [tex]\frac{gold}{total}[/tex] = [tex]\frac{5}{350}[/tex] = [tex]\frac{1}{70}[/tex]
At noon, the temperature at a mountaintop research center is 11
degrees. Overnight the temperature drops to -19 degrees.
Which expression represents how much the temperature
changed?
A. |19|
B. |-19|
C. |-30|
D. |-38|
A map using a scale of 1 inch:5 miles shows a section of land with an area of 3.2 inches what is the actual area of the section of the land
Answer:
16 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual area = 3.2 x 5 = 16 miles
Dexter plans and records his spending. In the coordinate plane below, the x-axis represents the number of days before or after today. For example, -1 would represent yesterday. The y-axis represents the amount of money Dexter planned to spend in dollars. The points (-5, 8) and (2, 8) represent Dexter's planned spending on two separate days.
Answer:
See attachment for grid
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-5,8)[/tex]
[tex](x_2,y_2) = (2,8)[/tex]
Required
Plot the points on a grid
To do this, we make use of a graph (there are several resources to do that online).
See attachment for plot
Time left: 0:48:24
Question 11 of 50
What are the roots of the quadratic equation
x2+3x+2?
Answer:
-1 & -2
Step-by-step explanation:
x²+3x+2
x²+2x+x+2
(x²+2x)+(x+2)
x(x+2)+1(x+2)
(x+1)(x+2)
In Marvel comics, T'Challa (aka The Black Panther) as the king of Wakanda
is estimated to be worth 90 trillion (9 x 1013) dollars. Tony Stark (aka Iron
Man) is only worth about 30 billion (3 x 1010) dollars. If Tony Stark could
somehow add a 10% increase in his wealth to his current worth each year
($30 billion, $63 billion, $99.3 billion, etc.), how many years would it take
to reach T'Challa? Round your answer to the nearest year.
If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year then the number of years will be 84 to reach T'Challa.
What is an exponent?Exponential notation is a type of mathematical shorthand that allows us to express complex statements in a more concise manner. The basis of an exponent is a quantity or letter. It denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
In Marvel comics, T'Challa (aka The Black Panther) as the king of Wakanda is estimated to be worth 90 trillion dollars.
Tony Stark (aka Iron Man) is only worth about 30 billion dollars.
If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year.
Let t be a number of the years.
Then the equation is given as
[tex]\rm 9 \times 10^{13} = 3 \times 10^{10} \times (1.10)^t[/tex]
Then the value of t will be
[tex]\rm 3000= (1.10)^t\\[/tex]
Taking log both sides, we have
t (ln 1.1) = ln 3000
t = 84
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
Factor the expression 8x + 12 using the GCF.
8x + 12 =
Answer:
4(2x+3)
Step-by-step explanation:
Because 4 is the GCF
Last Ss, super easy im just braindead
Answer:
the answer is 90
Step-by-step explanation:
PLS HELP ILL MAR BRAINLIST AND FOLLOW U
Answer:
Disagree
Step-by-step explanation:
The surface area of the given prism consists of the following parts;
1) The area of the top and bottom right triangles, A₁, and A₂, which are given as follows;
A₁ = A₂ = (1/2) × 5 × 12 = 30
2) The area of the left rectangle, A₃ = 5 × 8 = 40
3) The area of the rear rectangle, A₄ = 13 × 8 = 104
4) The area of the front rectangle, A₅ = 12 × 8 = 96
∴ A = A₁ + A₂ + A₃ + A₄ + A₅
A = 30 + 40 + 104 + 96 + 30 = 300
Jim B 65 + 65 + 104 + 96 + 40 = 370
The surface area of the triangular prism, A = 300 cm²
Jim-Bob's calculation contains two errors
1) 65 + 65 + 104 + 96 + 40 = 370 ≠ 270
2) The area surface area of the triangular prism = 300 cm² not 270 cm²
and therefore, disagree with his calculation.
Order these numbers from least to greatest.
2.1072, 2.37, 2.1, 2.307
What is the size of angle B?
А.3000°
B.1200°
C.600°
D.30°
Answer:
I think the answer is B because I've come across these kind of question and they add up to 180.
I think it is between these two..
(No link pls <3)
slope of line is 2 comparing equation y= mx+c where m is your slope
Answer:
- 1
Step-by-step explanation:
SLOPE/Y-INTECEPT EQUATION
y = mx + b
The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.
y = 2x - 1
Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.
Find the volume of the rectangular prism.
The volume is cm?
8 cm
5 cm
9 cm
Answer:
360 cm
Step-by-step explanation:
volume= length x width x height
8*5*9=360 cm
Answer:
360cm
Step-by-step explanation:
All you have to do is multiply the numbers.
To break it up, you can first multiply 8 and 5.
8 x 5 = 40.
Now that you have 40, multiply that by 9.
40 x 9 = 360.
Apply the unit: cm
360cm is your answer.