Answer:
Step-by-step explanation:
Here is the equation for this problem:
2 1/2 + 1 3/4 + x = 12
To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)
3/2 + 7/4 + x = 12
The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)
3 x 2 = 6
2 x 2 = 4
Now, the equation looks like this:
6/4 + 7/4 + x = 12
Now add the fractions. The denominator stays the same, but the numerators are added together.
6/4 + 7/4 = 13/4
Now, you can revert 13/4 back to a mixed number
13/4 = 3 1/4
The equation should look like this now:
3 1/4 + x = 12
Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)
12 - 3 1/4 = 8 3/4
Now, it should look like this:
x = 8 3/4
You could change the 8 3/4 into a decimal as well, which would look like this:
x = 8.75
Here is a summary of the whole equation:
2 1/2 + 1 3/4 + x = 12
3/2 + 7/4 + x = 12
6/4 + 7/4 + x = 12
13/4 + x = 12
3 1/4 (-3 1/4) + x = 12 (-3 1/4)
x = 8 3/4 or 8.75 acres
Answer:
Lisa has 8 3/4 acres left for home sites
There will be 7.75 acres of land left for home sites.
What is Mixed Fraction?Mixed fractions are type of fractions which includes both a whole part and a fractional part.
It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a + [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.
Total land for housing development = 12 acres
Land covered by park = 2 [tex]\frac{1}{2}[/tex]
= (2 × 2 + 1) / 2
= 5/2 acres
Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]
= (1 × 4 + 3) / 4
= 7/4 acres
Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{17}{4}[/tex]
= 4.25 acres
So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])
= 12 - 4.25
= 7.75 acres
Hence Lisa can build the home sites in the remaining 7.75 acres of land.
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At a community fundraiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the corresponding terms in the third column. Then graph the ordered pair
PART B: What is the relationship between corresponding terms in the two sequences?
answer: 1 bracelet $1, 1 nicklaces $2. 2 bracelet $2, nicklaces $4. 3 bracelet $3, 3 nickales $6. 4 bracelets, nicklaces $8. in conclusion one bracelet is one dollar, but a nicklaces is bracelet times 2.
HELPPPPPPPP rotate figure jklm 180 degrees around the origin brainly
Answer:
see attached
Step-by-step explanation:
Turn the given picture upside down and you will see where the rotated figure ends up. Each point is reflected across the origin to a point that is the same distance from the origin.
__
Rotation 180° is the same as any of ...
reflection across the orginreflection across the y-axis, then across the x-axisreflection across the x-axis, then across the y-axisnegating both coordinates (x, y) ⇒ (-x, -y)21 times what equals 84? Answer first and get brainliest
Answer:
[tex]21 * 4 = 84[/tex]
▬▬How to▬▬Split the problem up.
[tex]\frac{2 * 4 = 8}{1 * 4 = 4}[/tex]
Merge the results.
[tex]8[/tex] ⇔ [tex]4[/tex] [tex]= 84[/tex]
▬▬Sub-alt▬▬[tex]84[/tex] ÷ [tex]21 = 4[/tex]
Answer:
4
Step-by-step explanation:
you would do 84 ÷ 21 which is 4
21 × 4 is 84
Which is a solution to the linear inequality 2x-3y>6
A. (3,0)
B. (-3,1)
C. (3,-1)
Answer:
C ( 3,-1) is a solution
Step-by-step explanation:
2x-3y>6
Let x = 3
2(3) -3y >6
6 - 3y>6
Subtract 6
-3y >0
Divide by -3
-3y/-3 < 0/-3
y < 0
If x = 3 y must be less than 0
C ( 3,-1) is a solution
A parachutist's rate during a free fall reaches 162 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of free fall? Do not round your answers.
rate: (m/s)
distance fallen in 10 seconds:
Step-by-step explanation:
162 kilometers = 162000 meters
1 hour = 3600 seconds.
162,000 meters/3600 seconds=45 meters/second=45 m/s
45*10=450
Help with the math question please
Answer:
a) Infinite solutions = intersect at every point (2 of the same line)
m = rise/run = 3/2
b = y-intercept = (0, -3)
y = 3/2x - 3
b) No solutions = no point of intersection (parallel lines)
m = 3/2 (same slope b/c parallel)
b = (0, 2)
y = 3/2x + 2
c) One solution = one point of intersection
Solution = (4, 3)
y - y₁ = m (x - x₁)
y - 2 = m (x - 2)
m = [tex]\frac{y2-y1}{x2-x1}=\frac{3-2}{4-2} =\frac{1}{2}[/tex]
y - 2 = 1/2 (x - 2)
y = 1/2x + 1
Check to see if (4, 3) is the solution to the system:
y = 1/2x + 1
y = 3/2x - 3
1/2x + 1 = 3/2x - 3
1 = 2/2x - 3
x = 4 ✅
y = 1/2(4) + 1 = 3 ✅
I hope this helps!
Answer: its a and the person above me is correct
Step-by-step explanation:
A scatter plot is made comparing x, the number of hours since midnight, with y, the number of lights turned on in a house. What would a point at (7,8) on the scatter plot mean?
Answer:
7 hours since midnight and 8 lights turned on.
Step-by-step explanation:
(x,y) so 7 is the x and 8 is the y.
The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score. Then solve the inequality.
Which one of these?
Answer:
I hope I got this correct.
Step-by-step explanation:
I believe this is the 4th choice.
Because...
35,000 + d + 1000 [tex]\geq[/tex] 36,480
36,000 + d [tex]\geq[/tex] 36,480
d[tex]\geq[/tex] 480
that means you will have to catch 480 dragonflies after you reach the 35,000 mark plus the 1,000 points when you reach there. I know you didn't need those numbers, but I didn't know any other way to explain :)
Find the average rate of change from x=4 to x=10 for the equation y=2x-3
Answer:
2
Step-by-step explanation:
The average rate of change of the equation during the interval 4 ≤ x ≤ 10
can be represented in this expression if f(x) is substituted for y:
[tex]\dfrac{f(10)-f(4)}{10-4}[/tex]
[tex]=\dfrac{17-5}{6}[/tex]
[tex]=\dfrac{12}{6}[/tex]
[tex]=2[/tex]
So, the average rate of change (AOC) is 2.
You also could just figure this out by looking at the slope. Since this is a linear equation, the AOC over any interval will always be the same as the slope, since the slope is constant.
WILL CHOOSE BRAINLIEST!!! A is (2,2). A' is (-1,-1). Which sequence of transformations best describes this transformation?
A. Reflection across the x-axis, dilation using k-1/2
B. Rotation 80°, dilation using k=1/2
Answer:
I believe A. reflection across the x-axis, dialation using k-1/2 looks better
Which unit measures volume?
A.meter
B.square inch
C.grams
D.cubic inch
Answer:
C
Step-by-step explanation:
volume uses 3 units and hence it's cubic
Beinggreat78, this is mostly for you. but whoever gets it right can have brainliest, but answer ASAP!
Answer:
[tex]beinggreat78~here.[/tex]
The answer is 5 : 19. I included the explanation on your other question. :-)
Answer:
5:19
Step-by-step explanation:
add all fruits you get 19
peaches to all fruits
= 5:19
Anyway why did you delete my answer?
Mark me as a brainlest please!
Two urns both contain green balls and red balls. Urn I contains 6 green balls and 4 red balls, and Urn II contains 5 green balls and 6 red balls. A ball is drawn from each urn. Find P(green and green).
Answer:
the answer is 12
Step-by-step explanation:
what is the answer to this i am confused
Answer:
the answer is 313
Step-by-step explanation:
if you add the number of the names your talking about and then subtract them you get 313
Answer:
313
Step-by-step explanation:
791-1104 =313
Need help with question #2
giving crown
Answer:
Here you are my good sir!
Step-by-step explanation:
In a translation transformation all the points in the object are removed in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and imageare facing the same direction. Example: We describe a translation in terms of the number of units moved to the right or left and thenumber of units moved up or down. Example: Move the object 2 units to the right and 4 units up.
Can someone help me with this (thanks)
Answer:
B The large cat's meal tastes more like tuna fish.
Step-by-step explanation:
also need help on this but please hurry
Answer:
x(angle A)=18.9 Angle B=94.5 Angle C=66.6
Step-by-step explanation:
Angle A+ angle B+ Angle C= 180
(x)+(5x)+(4x-9)= 180
add the x components: x+5x+4x= 10x
10x-9 =180
add 9 to each side to balance the equation
10x=189
Divide each side by 10 to get x
10x/10=x 189/10= 18.9
x=18.9
Put x back into the equations
B=5x B=5(18.9) B=94.5
C=4x-9 C=4(18.9)-9
C=66.6
Answer:
We first solve for x, then plug that value into all angle measures.
As selected in the first part,
m∠A + m∠B + m∠C = 180°,
We use this formula to solve for x.
Replace those angle variables with its actual equations, knowing that:
Angle A = x °Angle B = 5x°Angle C = 4x - 9°So, set up the equation:
m∠A + m∠B + m∠C = 180°,
x + (5x) + (4x - 9) = 180°
Solve for x;
x + (5x) + (4x - 9) = 180°
Group and combine like terms;
(5x + x + 4x) + (-9) = 180°
10x - 9 = 180°
Get rid of constants;
+9 +9
10x = 189°
Get rid of co-efficient;
÷10 ÷10
x = 18.9°, x is equal to 18.9°.
Now, plug the value of x into angle 'A':-
x °
(18.9) °
∠A = 18.9°.
Then, plug the value of x into angle 'B':-
5x°
5(18.9) °
94.5°
∠B = 94.5°.
Finally, plug the value of x into angle 'C':-
4x - 9°
4(18.9) - 9°
75.6 - 9°
66.6°
∠C = 66.6°.
please help me on my math problems screenshots are below
Answer:
1st. (0,-2)
2nd. yes
Step-by-step explanation:
Find the area of the rug. DO NOT ROUND.
Answer:
28.26 ft²
Step-by-step explanation:
Formula
Area = πr²Given :
Diameter = 6 ft⇒ Radius = 3 ft [Diameter = 2 x Radius]Solving :
Area = 3.14 x 3 x 3Area = 3.14 x 9Area = 28.26 ft²Answer:
28.26 feet²
Step-by-step explanation:
Substitute the radius in the formula:
⇒ Area of circular rug = πr²
⇒ Area of circular rug = π(6/2)² [Diameter/2 = Radius]
Simplify the R.H.S:
⇒ Area of circular rug = π(3)²
⇒ Area of circular rug = π(9) [(3)² = 3 × 3 = 9]
Take π as 3.14 and simplify:
⇒ Area of circular rug = (3.14)(9)
⇒ Area of circular rug = 28.26 feet² (Using calculator)
Evan randomly selects 30 marbles from a bag. His data is given in the table.
Color Number of Marbles
Red
9
White
3
Blue
8
Orange
4
Yellow
6
Based on Evan's data, enter a number in each box to correctly complete the sentences.
The probability of selecting a yellow marble is
.
If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is
.
Suppose P, Q, and R are points in the plane such that PQ=1.8, PR=8.2, and angle PQR=90 degrees. What is the area of triangle PQR$?
Answer:
7.2 sq units
Step-by-step explanation:
Seeing as this is a right triangle, and the hypotenuse and one leg is given, you can use the pythagorean formula to get the third side ([tex]\sqrt{8.2^2 - 1.8^2}[/tex]). Now that we have this leg, we can multiply this by 1.8, then divide it by two (area of triangle).
What happens to a vertical line if you rotate it 90 degrees clockwise?
Answer:
the line will become horizontal
Step-by-step explanation:
Can someone solve this? Due today
[technically past due but need it done today]
Answer:
260,194.67
tthat is the answer
Which of the following represent lengths of the sides of a right triangle?
Use the formula:
a^2 + b^2= c^2
Answer:
B and D
Step-by-step explanation:
.......
...
..
.....
WILL CHOOSE BRAINLIEST, which statement is not true?
Answer:
B. 7^12/7^15=7^3 would be not true.
What point is marked on the number line?
Answer:
Step-by-step explanation:
-7/8
100 POINTS AND BRAINLY Consider the two dot plots below. Which of the following statements is true? A. Both the dot plots A and B have the same mean absolute deviation. B. The mean absolute deviation of dot plot B is greater than the mean absolute deviation of dot plot A. C. The median of dot plot B is greater than the median of dot plot A. D. The mean absolute deviation of dot plot A is greater than the mean absolute deviation of dot plot B. Reset Submit study island
Answer:
your answer would be D
Step-by-step explanation:
(っ◔◡◔)っ ♥ hello ♥
the median of both the dot plot A and B is the same
<3
Rewrite the equation without absolute value
Y=|x-2|+|x+2|-|x-5| if x<-2
Answer:
Step-by-step explanation:
Hey there!
In order to solve this equation, you need to first simplify and take the absolute value:
x+2+x+2-x+5
Now you need to simplify
x+9
So, the rewritten form of the equation is x+9
Find the area of the figure. 7 cm 4 cm 4 cm 1 10 cm 10 cm 8 cm 19 cm
Answer:
132cm^2
Step-by-step explanation:
first break the shape up into component shapes. the shape is made of two rectangles and two triangles. the area for a rectangle is A=BH where b is base and h is height. the area of a right triangle is BH/2 where b is the base and h is the height. you are given the base and height of the top rectangle 4x7. To find the area of the triangles and the second rectangle you have to do some algebra. the total base length is 19cm and the top rectangle has a length of 7cm so 19-7 leaves you with 12cm to spare and there is two symmetric triangles on each side so 12/2 is 6. now we know all the measurements and can solve.
Complete the stem-and-leaf plot for the list of test grades.73, 42, 67, 78, 99, 84, 91, 82, 86, 94
The stem-and-leaf plot for the list of test grades is created below.
What is Stem and leaf plot?A stem-and-leaf plot is a graphical representation of data that organizes values into a format that displays both the individual data points and their corresponding frequency. It is a way to represent a set of numerical data visually.
To create a stem-and-leaf plot, we separate each number into a stem and a leaf. The stem represents the tens digit, and the leaf represents the ones digit.
Here is the completed stem-and-leaf plot for the given test grades:
4 | 2
6 | 7
7 | 3, 8, 8
8 | 2, 4, 6, 6
9 | 1, 4, 9
In this plot, the stem represents the tens digit, and the leaves represent the ones digit.
For example, the grade 73 is represented as 7 as the stem and 3 as the leaf. The grade 82 is represented as 8 as the stem and 2 as the leaf.
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