Answer: 67 + x = 180
Step-by-step explanation:
Since the angles are supplementary, together they'd add up to 180. Since we do not know the degrees of Angle 2, we arrange x in the equation.
Hope this helps you! Good luck! <3
Luis, Pedro y Ernesto fueron a comer pizza. Entre Luis y Ernesto comieron el doble que Pedro. Pedro comió el doble que Ernesto. Entre los 3 se comieron una pizza ¿Qué porción se comió cada uno?
Answer:
Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Step-by-step explanation:
Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:
L + P + E = 1
L + E = 2P
P = 2E
L + E = 4E
L = 4E - E
L = 3E
3E + 2E + E = 1
6E = 1
E = 1/6
E = 0.166
P = 0.166 x 2
P = 0.333
L = 0.166 x 3
L = 0.5
L = 1/2
Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Elena is feeding her neighbor's dogs. Each dog gets 2/3
cup of dog food, and she uses 3 1/3 cups of food. How many dogs does her neighbor have?
5 5/8 cups of water fill 4 1/2 identical water bottles. How many cups fill each bottle?
Answer:
5 dogs
1 1/4 cups per bottle
Step-by-step explanation:
10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5
45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4
While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of
students in the entire class.
Answer:
20
Step-by-step explanation:
Do 15 divided by 0.75
Jackie, Morgan, kyle and Chung ran the 100 meter dash. Jackie finished in 17.6 sec, Morgan finished in 17.06 sec, kyle finished in 17.66 sec, and chung finished in 17.066. Wich of them finished in the least amount of time
Answer:
Morgan (17.06 secs)
Step-by-step explanation:
Jackie, morgan, Kylie and chung ran the 100 meter dash race
Jackie finished the race in 17.6 secs
Morgan finished the race in 17.06 secs
Kylie finished the race in 17.66 secs
Chung finished the race in 17.066 secs
Hence Morgan finished the race in the least amount of time in 17.06 seconds
Find the slope-intercept equation of the line that passes through (2,-5) and has a slope of 1/3
Answer:
y = 1/3x - 17/3
Step-by-step explanation:
Given:
Passes through (2, -5)
m = 1/3
Slope-intercept:
y - y1 = m(x - x1)
y - (-5) = 1/3(x - 2)
y + 5 = 1/3x - 2/3
y = 1/3x - 17/3
It takes 3 hours for a boat to travel upstream against the current and 1.8 hours to travel the same distance downstream with the current. What is the speed of the boat in still water if the speed of the current is 3 mph?
Answer:
Step-by-step explanation:
There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.
Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:
d = r x t
U
D
This is the table. Now we will fill it in:
d = r x t
U r - 3 x 3
D r + 3 x 1.8
The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:
d = (r - 3)3 and
d = 3r - 9. For the second row:
d = (r + 3)1.8 and
d = 1.8r + 5.4. Setting them equal to each other:
3r - 9 = 1.8r + 5.4 and
1.2r = 14.4 so
r = 12 mph
What is the volume of this prism?
28 cubic units
9 cubic units
17 cubic units
==================================
Work Shown:
L = 5 = length
W = 2 = width
H = 1.7 = height
V = volume
V = L*W*H
V = 5*2*1.7
V = 17 cubic units
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
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
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
in a box of pens, 30% of them are blue, 45% are red and the rest are black. if there are 360 red pens, find the total number of pens.
Answer:
800
Step-by-step explanation:
Please I need help?!?!?!?!?!
Answer: y=7
Step-by-step explanation:
Using the formula: (y - y1) = 0 (x - x1)
Substitute x1 with -2, and y1 with 7 and set the slope as 0.
Y-7=0(x-(-2))
Y - 7 = 0 (x + 2)
Anything times 0 = 0, so cancel out the -2.
Y-7=0
Add the 7 to the 0.
Y = 7
mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.
Answer:
okay
i am not sure the answer but hi i am ok
what is the percentage of (1)/(2)
Answer:
50%
Step-by-step explanation:
1 whole = 100%
1/2 of a whole = 1/2 × 100%
= 50%
Indicar cuál digito está en la posición de las centenas y cuál está en la posición de las unidades.
2.698
Answer:
cantenasjajsjjsjjsjjsnnxkksnjdjidnnkjjdjjsjjjsjndnndkksjm
Please provide an explanation.
Answer:
-9
Step-by-step explanation:
In a linear equation like this, the first number is the slope and the last number is the y-intercept
PLEASE HELP ASAP!!
find the value of y.
2
2weridcheckthing2
3
6checkthing2
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
A^2 + B^2 = C^2
1^1 + y^2 = 3^3
1 + y^2 = 9
y^2 = 8
y = [tex]2\sqrt{2}[/tex]
The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1/4, what is the given fraction?
Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
Multiplying and dividing rational expressions
Answer:
the answer in the picture
Step-by-step explanation:
In a geometric sequence, the ratio between consecutive terms is...
========================================================
Explanation:
Consider an example like 3, 6, 12, 24, 48, ...
The ratio between consecutive terms is
6/3 = 212/6 = 224/12 = 248/2 = 2Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.
As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.
An example with r being negative would be something like
1, -1, 1, -1, 1, -1, ....
we just bounce back and forth between those two values. In this case, r = -1.
Solve the following equation for x: 3x - 8 = 25
Answer:
x = 11
Step-by-step explanation:
First you isolate the 3x to one side by adding 8 to both sides, this then gives us the equation 3x = 33, then you divide 33/3 which equals 11
The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?
–6
–9
9
6
Answer:
6
Step-by-step explanation:
In y=mx+b, m is the slope. 6 is in the place of m so 6 is the slope
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
Subtract the polynomials.
( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)
Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!
Step-by-step explanation:
1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5
2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2
3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2
The radius of a circle is 14 millimeters. What is the circle's area?
Answer:
Step-by-step explanation:
use formula,
area of circle=π(r)^2
=3.14*(14)^2
=3.14*196
=615.44 millimeters
PLEASE SEE ATTACHED
THANK YOU!!!
Answer:
use waymath but type it the other way around
Step-by-step explanation:
Answer:
1) it's a circle, (4x + 12)² + (2y - 2)² = 64
2) it's a circle, (x + 4)² + (y - 3)² = 40
3) it's a parabola, (x + 3)² = -4(y - 1)
Step-by-step explanation:
Equation of a circle: (x - h)² + (y - k)² = r²
factorize the equation:
1) => 16x² + 96x + 144 + 4y² - 8y + 4 + 84 = 144 + 4
=> (4x + 12)² + (2y - 2)² = -84 + 144 + 4
=> (4x + 12)² + (2y - 2)² = 64 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=>(4x - (-12))² + (2y - 2)² = 8²
(x - h )² + (y - k)² = r²
Center: (h, k) => (-12, 2)
Radius: √r² => √64 = 8
2) => x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9
=> (x + 4)² + (y - 3)² = 15 + 16 + 9
=> (x + 4)² + (y - 3)² = 40 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=> (x - (-4) )² + (y - 3)² = 40
(x - h )² + (y - k)² = r²
Center: (h, k) => (-4, 3)
Radius: √r² => √40 ≈ 6.32
Equation of a parabola facing down: (x - h)² = 4a(y - k)
3) => x + 6x + 9 = -4y - 5 + 9
=> (x + 3)² = -4y + 4
=> (x + 3)² = -4(y - 1) (equation of the parabola)
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
=> (x - (-3))² = 4 × -1(y - 1)
(x - h )² = 4 × a(y - k)
Vertex: (h, k) => (−3, 1)
Focus: (h, k + a) => (-3, 1 + (-1)) => (−3, 0)
Axis of Symmetry: x = h => x = −3
Directrix: y = k - a => y = 1 - (-1) => y = 2
x | y
−5 | 0
−4 | 3/4
−3 | 1
−2 | 3/4
−1 | 0
(graphs in the pictures below)
A) By how many % did 40 increase to 70?
B) By how many % did 70 decrease to 40
Answer:
A. by 3 percent
B. by 3 percent
Answer:
A) 75% increase
B)42.8571% decrease
Step-by-step explanation:
The formula to do this is to subrtact the final value-starting value then divide by the starting value and finaly multiply by hundred
it should look like this
[tex]\frac{finalvalue-starting value}{starting value} *100[/tex]
Kendra is starting a science experiment. She will grow salt crystals in a clear plastic box. The inside of Kendra's box is 9 inches long and 5 inches wide. Kendra pours salt water into the box to a height of 4 inches. What is the volume of salt water in the box?
Answer: the answer is 375.5906
Step-by-step explanation:
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer:
I guess d is the answer . cause the sum of a number (a number added to something) represented by a variable is added to twelve
solve the system using the elimination method
2x + 3y = 12
15x -3y = 39
Answer:
x=3 y=2
Step-by-step explanation:
Step one:
Add both equation
2x+3y=12
+ 15x-3y=39
___________
17x=51
x=3
Step 2: After finding the answer for x, plug it into the first equation to find the value of y
2(3)+3y=12
6+3y=12
3y=6
y=2
A truck is 48 ft. long and 10 ft. wide. The owner wants to paint a red stripe around the outside of the truck. How long is the stripe? Please explain