Answer:
her first step was) Combining like terms= 12+2
her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x
her third step was) Adding to both sides 18= 14+18
her last step was) isolating the variable/ dividing 2 from both sides= 32/x.
Hope You Got It!
PLEASE MARK ME AS THE BRAINLIEST
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
on a piece of paper mark a point h for home and s for school. describe how to find the set points of equidistant from h and s
Answer:
e?..............................
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
The lines represented by the equations y = 2x – 2 and 2y - 4x = 2 are
O perpendicular
O neither parallel nor perpendicular
O the same line
parallel
Answer:
They are parallel but not the same
Step-by-step explanation:
because they have same slope or gradient which is 2
solving equations
x+4=24
Answer:
x = 20
Step-by-step explanation:
x + 4= 24
Subtract 4 rom both sides
x = 20
Answer:
Your answer is
x=20
Step-by-step explanation:
x=24 -4
what number lies in between 18 and 24
Answer:
21
Step-by-step explanation:
24 - 18 = 6
6/2 = 3
18 + 3 = 21
Answer: 21
Step-by-step explanation:
18, 19, 20, 21, 22, 23, 24
1 2 3 3 2 1
21 is in the middle
What is the solution set of the equation (x - 2)(x - 8) = 0?
1)-2 and 8
2)-2 and -8
3) 2 and 8
4) 2 and -8
Answer:
Step-by-step explanation:
2 and 8
This Question: 1 pt
1 of 20 (0 complete)
ZEFG and ZGFH are a linear pair, m ZEFG = 3n + 19, and mZGFH = 2n + 36. What are mZEFG and mZGFH?
mZEFG =
mZGFH =]
(Simplify your answers.)
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Angles forming linear pair are :
[tex] \mathrm{\angle EFG \: \: and \: \: \angle GFH} [/tex]
And we know, they are supplymentary
[tex] \mathrm{\angle EFG \: + \: \angle GFH} = 180 \degree[/tex][tex]3n +1 9 \degree+ 2n + 36\degree = 180 \degree[/tex][tex]5n + 55\degree = 180\degree[/tex][tex]5n = 125\degree[/tex][tex]n = 25\degree[/tex]So, the measures of the given angles are :
[tex] \mathrm{\angle EFG } = 3n + 19[/tex][tex] \mathrm{ \angle EFG = (3 \times 25\degree) + 19}[/tex][tex] \mathrm{ \angle EFG = 75 \degree+ 19\degree}[/tex][tex]\mathrm{ \angle EFG = 94\degree}[/tex]And
[tex]\mathrm{ \angle GFH = 2n + 36}[/tex][tex]\mathrm{ \angle GFH = (2 \times 25\degree) + 36\degree}[/tex][tex]\mathrm{ \angle GFH = 50\degree + 36\degree}[/tex][tex]\mathrm{ \angle GFH = 86\degree }[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
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.
(Part 2) PLZ HELP
this is due today:(
PLZ HELPPPPPPPPPPPPPP
Answer:
i believe it is a if not im sorry
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answer:
AB = Secant
DB = Diameter
AB = Chord
OB = Radius
BC = Tangent
Step-by-step explanation:
The image provided below is a great reference!
Note: The answers are put in order.
What is the length of the hypotenuse?
A. 10
B. 14
C. 48
D. 100
Option A= 10
ProcessUsing Pythagoras Theorem,
8²+6²= (hypotenuse)²
64+36= (hypotenuse)²
(hypotenuse)²= 100
hypotenuse= √100
hypotenuse= 10
So Option A= 10
Hope This Helps You ❤️Answer:
The hypotenuse is A. 10.
Step-by-step explanation:
To find the length of hypotenuse we can use the pythagoras theorem formula:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]=>6^{2} +8^{2} = c^{2}[/tex]
[tex]=> 36 + 64 = c^{2}[/tex]
[tex]=> 100 =c^{2}[/tex]
[tex]=> c = \sqrt{100}[/tex]
∴ [tex]c[/tex] [tex]= 10[/tex]
what is the correct answer?
Answer:
well we can see the sign's a trapezoid
area of trapezoid = 1/ 2 × sum of parallel sides × height
= 1/ 2 × (7+5) × 4
= 1/ 2 × 12 × 4
= 24 Sq feet
that's first option
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.
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
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
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
Please please help please
What’s the area of the shape?
Answer:
Hello! answer: 113.04
Step-by-step explanation:
It looks like you already selected the correct answer! What you do to find it is radius squared × 3.14 so
6 × 6 = 36 36 × 3.14 = 113.04 therefore that is the answer Hope that helps!
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
Does anyone know this
Answer:
8 2/3
Step-by-step explanation:
26/3
CONVERT TO A MIXED FRACTION
8 2/3
Answer:
Step-by-step explanation:
3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]
4*3+1/4 * 8/3
13/4*8/3
13*8/4*3
104/12
26/3
not :when u change division sign into multiplication then do the reciprocal .
In ΔDEF, the measure of ∠F=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answer:
[tex]\theta=38.42 \textdegree[/tex]
Step-by-step explanation:
From the question we are told that:
Angle of F [tex]\angle F=90 \textdegree[/tex]
Length of [tex]EF = 2.3 feet,[/tex]
Length of [tex]FD= 2.9 feet,[/tex]
Generally the equation for Angle D [tex]\theta[/tex] is mathematically given by
Since [tex]\angle F=90[/tex].The triangle is a right angle Triangle
Therefore
[tex]tan \theta=\frac{EF}{FD}[/tex]
[tex]tan \theta=\frac{2.3}{2.9}[/tex]
[tex]\theta=tan^{-1} 0.793[/tex]
[tex]\theta=38.42 \textdegree[/tex]
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
The softball in the mitt is 4.9 inches in diameter. What is its volume? (Use 3.14 for )
Volume is a three-dimensional scalar quantity. The volume of the softball is 61.6 cubic inches.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the diameter of the softball is 4.9 inches. Since the radius is half the diameter, therefore, the radius of the softball can be written as,
Radius = Diameter
= 4.9 inches / 2
= 2.45 inches
Now, the volume of the softball can be written as,
Volume of the softball = (4/3) × π × r³
= (4/3) × π × (2.45 inches)³
= 61.6 inches³
Hence, the volume of the softball is 61.6 cubic inches.
Learn more about Volume:
https://brainly.com/question/13338592
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Multiplying and dividing rational expressions
Answer:
the answer in the picture
Step-by-step explanation:
What is the area, in square units, of the shaded region? (nearest tenths place)
Answer:
169.6
Step-by-step explanation:
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)
What is percentage of values available between first and third quartile of this data set (8, 7, 3, 8, 14, 15, 20)?
Answer:
[tex]\%Pr =71.43 \%[/tex]
Step-by-step explanation:
Given
[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]
[tex]n(S) = 7[/tex]
Required
Percentage of values between Q1 and Q3
We have:
[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]
Sort
[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]
Q1 is calculated as:
[tex]Q_1 = \frac{n+1}{4}th[/tex]
[tex]Q_1 = \frac{7+1}{4}th[/tex]
[tex]Q_1 = \frac{8}{4}th[/tex]
[tex]Q_1 = 2nd[/tex]
The second element is: 7; So:
[tex]Q_1 = 7[/tex]
Q3 is calculated as:
[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]
[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]
[tex]Q_3 = 3*\frac{8}{4}th[/tex]
[tex]Q_3 = 3*2th[/tex]
[tex]Q_3 = 6th[/tex]
The sixth element is: 15; So:
[tex]Q_3 = 15[/tex]
From the sorted dataset, the data between Q1 and Q3 is:
[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]
[tex]n(Q_3&Q_1) = 5[/tex]
The percentage is:
[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]
[tex]\%Pr =\frac{5}{7} * 100\%[/tex]
[tex]\%Pr =\frac{5* 100}{7} \%[/tex]
[tex]\%Pr =\frac{500}{7} \%[/tex]
[tex]\%Pr =71.43 \%[/tex]
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]