T is the midpoint of PQ
PT=TQ
5x+7 = 7x-7
2x= 14
x= 14/2
x= 7
PT = 5(7)+7 = 42
Marie made lasagna for dinner. She ate 1/6 of it, Morris ate 1/3 of it, and Larry ate 1/4 of it. How much of the lasagna was left?
Answer:
1/12 of the lasagna was left
Step-by-step explanation:
To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).
Answer:
[tex]\frac{1}{4}[/tex] of the lasagna
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]
4 = 2 × 2
3 = 3
6 = 2 × 3
LCM = 2 × 2 × 3
LCM = 12
4 × 3 × 6 = 72
[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]1-\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}[/tex]
[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]
Please I need help with this!!!!!!!
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
Help please! I really need it
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?
6,347.2184 to the nearest thousandth
Answer: 6347.218
Step-by-step explanation:
Answer:6,347.218
Step-by-step explanation:
look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004
Need answer fasttt
Find the volume of a pyramid with a square base, where the side length of the base is
11.5 in and the height of the pyramid is 6.7 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
295.4 [tex]in^3[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]
= 295.358
≈ 295.4
Suppose a publishing company estimates that its monthly cost is
C(x) = 600x2 + 300x and its monthly revenue is
R(x) = -0.423 + 700x2 – 600x + 500, where x is in thousands of
books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?.
The radius of a circle is 2 meters. What is the area of a sector bounded by a 135 degree arc? Give the exact answer in simplest form
Answer:
Area of circle bounded by a 135 ° arc is 4.71 m ²
Step-by-step explanation:
Given that :-Radius of circle, r = 2 m
Angle of the circle , θ = 135 °
To Find :-Area of circle bounded by a 135 ° arc.
Solution :-Using Formula
Area of circle = θ/ 360 × π × r ²
substitute the values,
Area of circle = 135 /360 × 3.14 × ( 2 m) ²
solve it
Area = 27 / 72 × 3.14 × 4 m ²
Area = 27 / 18 × 3.14
Area = 1.5 × 3.14
Area = 4.71 m ²
Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²
Answer:
it's 3/2pi
Step-by-step explanation:
.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
PLEASE HELP! WAYYY OVERDUE!!!
Look at the box plots and decide whether each team's distribution is symmetric or skewed negatively or positively.
Answers:
Red = negative skewYellow = symmetricBlue = positive skew================================================
Explanation:
A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.
For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3 (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.
Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.
---------------
If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.
A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx
Answer:
sinx= d/f
cosx= e/f
tanx= d/e
Oof, I'm to tired to remember how to do this T-T
Can anyone help asap? This is timed. Brainliest for best answer!!
Answer:
D
Step-by-step explanation:
Equation of the line
y - y1 = m(x - x1)
y - (-4) = 1/3 (x - 3)
y + 4 = 1/3x - 1
y = 1/3 x - 5
the graph that intercept y axis in -5 is the graph D
Answer:
i can't remember how to do this rn because its like 2:30am
C seems like most accurate answer, if this is wrong im really sorry :C
Step-by-step explanation:
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
a vertical stick is 8 cm high and the length of its shadow is 6 cm find the distance between the top of the stick and it's shadow
Answer:
10
Step-by-step explanation:
8 and 6 are the numbers you work with
using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
64 + 36 = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]
10 = c
Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?
Answer
8,98
Step-by-step explanation:
the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs
2x/7-3=2
What is the value of x
Answer:
35/2 or 17.5
Step-by-step explanation:
2x / 7 - 3 = 2
2x / 7 - 3 + 3 = 2 + 3
2x / 7 = 5
(2x /7) x 7 = 5 x 7
2x = 35
x = 35/2 or 17.5
Answer:
[tex]x = \frac{35}{2} [/tex]
Step-by-step explanation:
[tex] \frac{2x}{7} -3=2[/tex]
[tex] \frac{2x}{7} = 2 + 3[/tex]
[tex]\frac{2x}{7} = 5[/tex]
[tex]x = \frac{7}{2} \times 5[/tex]
[tex]x = \frac{35}{2} [/tex]
Decimal Form:
[tex]x = 17.5[/tex]
Mixed Number Form:
[tex]x = 17 \frac{1}{2} [/tex]
Hope it is helpful...PLEASE HELP ME- i don't know what to do
Answer:
5x-20=3x(alternate angle)
5x-3x=20
2x=20
x=20/2
x=10
now ,
2y +4y+5x-20=180(sum of angles of a triangle)
6y+50-20=180
6y+30=180
6y=180-30=150
y=150/6
y=25
hope this will help
Help please help please
Answer:
12.57 in⠀⠀⠀⠀⠀
Answer:
12.56 inches
Step-by-step explanation:
A= pie x r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56
HELLPPPP YALLLLLLLLK ASAPPPPP
4) Let the number be : N
Given : 10% of this number is 25
[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]
[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]
[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]
[tex]\sf{\implies N = 250}[/tex]
Now we need to find 60% of 250
[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]
[tex]\sf{\implies 6 \times 25}[/tex]
[tex]\sf{\implies 150}[/tex]
5) Given : James left the home at 10 : 00 AM
First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.
So, James reached the skate park 10 : 15 AM
Second : They stayed at the skate park for an hour
So, till 11 : 15 AM James and Tom were at skate park
Third : Then they will take a 10 minutes walk over to the Burger bar
So, James and Tom reached the Burger bar at 11 : 25 AM
6) First let us find 75% of 80
[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]
[tex]\sf{\implies 15 \times 4}[/tex]
[tex]\sf{\implies 60}[/tex]
Now let us find 40% of 30
[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]
[tex]\sf{\implies 12}[/tex]
Now, (60 - 12) = 48
Answer: 75% of 80 is 48 greater than 40% of 30
7) Given : Journey to school takes 70 minutes
We know that : 1 hour = 60 minutes
So, 70 minutes = 1 hour + 10 minutes
Given : Boy leaves the home at 0715
Answer: The Boy arrives at 0825
which point is a solution to the inequality shown in this graph
(0, 5)
(3, 2)
(-3, -6)
(5, 0)
Answer:
(0,5)
Step-by-step explanation:
if the point is graphed in the blue area then it is a solution to the inequality
Note: because the line is dashed points graphed on the line are not solutions
(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.
even though we may have found the answer let's check the rest just to be safe
(3,2) and (-3,-6) are graphed on the line
remember because the line is dashed points that fall on it are not solutions
therefore (3,2) and (-3,-6) are not Solutions
(5,0) when graphed is not in the shaded area and is therefore not a solution
we can conclude that a is the answer
Omar's gas tank is 1/3 full. after he buys 9 gallons of gas, it is 5/6 full. How many gallons can Omar's tank hold?
Answer:
18 gallons
Step-by-step explanation:
First get a common denominator (6). So 3/6 are added to the tank when Omar buys 9 gallons of gas. That means for every 1/6, three gallons are added to the tank.
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answer:
n(n+1)
This is the answer I know
Enter the explicit rule for the geometric sequence.
120,40,403,409,4027
Answer:
120(1/3)^n-1
This is the correct answer for sure.
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answer:
No.
Step-by-step explanation:
33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.
Answer:
no , it is not a right triangle.
Step-by-step explanation:
according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.
Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.
pythagoras theorem:
a^2 + b^2 = c^2
33^2 + 56^2 = 66^2
1089 + 3136 = 4356
4225 = 4356
since both sides are not equal it can be concluded that the given side lengths does not form right triangle.
Type the missing number in this sequence: 10, 100, 1,000, 10,000,
Answer:
10, 100, 1,000, 10,000, 100,000
If you are adding one zero in the end for every number, then 100,000 will be your next number
Fill in the blanks on the unit circle.
HELP ASAP
03.
(a)
Multiply out
3(2x-7)
Answer
Answer: -42 is the answer.
Which of the following is a fifth degree binomial?
Answer:
C)
Step-by-step explanation:
[tex]2xy^{2}-5y^{5}[/tex]
Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5