The possible length for the third side of a triangle with two sides of length 5 must be greater than 0 and less than 10, as determined by the Triangle Inequality Theorem.
Explanation:The student is asking about a possible third side of a triangle with two sides of length 5. To answer this, we will apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, any third side length must be less than 10 (5 + 5) but also greater than 0, because if it were 10 or more it wouldn't form a triangle but a straight line. However, since the smallest possible non-zero length a side can have is just above 0, we can say the third side must be greater than 0 and less than 10.
A certain shade of paint is made by mixing 5 parts of blue paint with 2 parts of white paint. To get the correct shade, how many quarts of white paint should be mixed with 8.5 quarts of blue paint?
Answer:
6.8 quarts of white paint
Step-by-step explanation:
If you make 5 parts equal to 0.5 you will have 17 parts blue paint. 17 divided by 5 (to get how many parts we are using) is 3.4. One part blue paint is 3.4 quarts. Times that by two to get how many parts of white paint. We need 6.8 quarts of white paint.
Distance between points (7,6) (-3,-1)
Answer:
Step-by-step explanation:
(7,6) (-3,-1)
(x1,y1) (x2,y2)
[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{(-3-7)^{2}+(-1-6)^{2}}\\\\=\sqrt{(-10)^{2}+(-7)^{2}}\\\\=\sqrt{100+49}=\sqrt{149}\\\\=12.21[/tex]
the ratio of mystery books to fiction books is 2 to 3. if there are 12 mystery books, how many fiction books are there
Answer:
18
Step-by-step explanation:
First you would have the divide 2 and 12 which is 6 then you would muplty 6 by 3 because you need to find how many fictional book which is 18
p. ls I am 99% sure this explanation is right
The number of fiction books is 18.
What is a ratio?Ratio expresses the relationship between two values. It is the number of times that one value is contained within other value(s).
How many books are there?Number of books = (number of mystery books x sum of ratios) / ratio of mystery books
(12 x 5) / 2 = 30 books
What is the number of fiction books?number of fiction books = (ratio of fiction books / sum of ratios) x total number of books
3/5 x 30 = 18 books
To learn more about ratios, please check: https://brainly.com/question/25927869
Please help me I'm confused how to do it
Answer:
59 sq ft
Step-by-step explanation:
Area of the entire shape is 13x5=65
but then you have to subtract for the missing portion
the area of that piece is 3x2=6
65-6=59
Use the function below to find F(2).
F(t) = 2•1/2^3t
Answer:
[tex]F(2)= \frac{1}{32} [/tex]
Step-by-step explanation:
The given function is
[tex]F(t) = 2 \cdot \: \frac{1}{{2}^{3t} } [/tex]
To find F(2), we substitute t=2 into the function.
This means that wherever we see t, we put 2
[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} } [/tex]
We multiply the exponent in the denominator to get:
[tex]F(2) = 2 \cdot \: \frac{1}{{2}^{6} } [/tex]
We evaluate to get:
[tex]F(2) = 2 \cdot \: \frac{1}{64} [/tex]
We now cancel the common factors to get:
[tex]F(2) = \frac{1}{32} [/tex]
the number. Find the nume.
Eight times a number plus 3 times
the number is the same as 9 more
than 12 times the number. Find the
number.
Answer: 8x+3x=12x+9
The number is -9.
Step-by-step explanation: Combine like terms.
11x=12x+9
Subtract 12x from the other side. 11x-12x= -1x
-1x+9
Divide by -1 to isolate x.
-1/-1 cancels out.
9/-1= -9
x=-9
Plug in -9 to check your answer if you want to double check.
look at the picture below
Answer:
1.8
Step-by-step explanation:
12/4 - 1.2
3 - 1.2 = 1.8
Frank has 27 liters of water. He pours equal amounts for 9 softball players. How much water will each player get?
A 36 liters
B. 18 liters
C. 4 liters
D. 3 liters
WIll MARK BRAINLIST PLZ!!
Answer:
d. 3 liters
Step-by-step explanation:
divide the amount of water by the amount of players to get the answer
27 ÷ 9 = 3
Answer:
D) 3 Liters
Step-by-step explanation:
We know that Frank has 27 liters of water, and he needs to divide it into equal amounts for 9 players. To find out how much water each of the 9 players will get, we can set up an equation like this:
(Amount of water) ÷ (Number of players) = (How much water each player gets)
Now we insert the numbers into this equation:
27 ÷ 9 = 3
So each player will get 3 liters of water
How should the decimal point in 6.093 be moved to determine the product of 1,000 × 6.093?
move it 1 place to the right
move it 2 places to the right
move it 3 places to the right
move it 4 places to the right
Answer:
3 positions to the right.
Step-by-step explanation:
1000 * 6.093
= 6093.
Answer:
Move 3 places to the right
Step-by-step explanation:
I hope I helped :)
Select the correct answer.
if f(x) = x^1/2– x and g(x) = 2x^3 –x^1/2-x
find f(x) – g(x).
f(x) - g(x) = [tex]-2x^{3}+2x^{1/2}[/tex]
Step-by-step explanation:
Given :
f(x) = [tex]x^{1/2} -x[/tex]g(x) = [tex]2x^{3} -x^{1/2} -x[/tex]f(x) - g(x) = ([tex]x^{1/2} -x[/tex]) - ( [tex]2x^{3} -x^{1/2} -x[/tex])
⇒ ([tex]x^{1/2} -x[/tex][tex]-2x^{3}+x^{1/2} +x[/tex])
⇒ [tex]-2x^{3}+2x^{1/2}[/tex]
f(x) - g(x) = [tex]-2x^{3}+2x^{1/2}[/tex]
PLEASEEEE HELPPP
3. Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
The value of x is 13°.
Solution:
In triangle, sum of all the interior angles = 180°
m∠A + m∠B + m∠C = 180°
(3x)° + (4x – 1)° + 90° = 180°
3x° + 4x° – 1° + 90° = 180°
7x° + 89° = 180°
Subtract 89° from both sides of the equation, we get
7x° = 91°
Divide by 7 from both sides of the equation, we get
x° = 13°
The value of x is 13°.
3(2+5)-5(3)+8 help me
Answer:
3(7) -15+8
21-15+8
6+8= 14
solve for x
x/4 ≥ -8
a) x≤-2
b)x≥-32
c)x≥-2
d)x≤-32
Answer:
B
Just multiply by 4 to isolate x; because 4 isn't negative, u keep the sign the same.
128/148 simplest form
Reduce the expression by cancelling the common factors.
= 32/37
In decimal;
0.864
y = x² + 4x + 8
Sketch the graph of each function be sure to show your table of values
Answer:
see attachment
Step-by-step explanation:
We want to sketch the graph of
[tex]y = {x}^{2} + 4x + 8[/tex]
We want to use tables so we choose some few points and plot.
When x=-6,
y=(-6)²+4(-6)+8=20
When x=-4,
y=(-4)²+4(-4)+8=8
When x=0,
y=(-2)²+4(-2)+8=4
When x=0,
y=(0)²+4(0)+8=8
When x=2,
y=(2)²+4(2)+8=20
The table and graph are shown in attachment.
The bill at a restaurant is $32 before tax. The tax on the bill is 5%.
How much is the final bill including tax?
32 + 5% = 1.6
The tax is $1.60
The final bill is $33.60
Answer: the answer is $33.60
An orange has 20 fewer calories
than a banana. If 7 bananas have
the same number of calories as 9
oranges, how many calones are in a
banana?
Answer:
90 calories in total
Step-by-step explanation:
We can solve this equation through the following steps:
Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:
Let x= the calories in a banana
Let x-20=the calories in an orange
Step Two: Create an equation
Since we are told "7 bananas have the same calories as 9 oranges" we translate"
7x=9(x-20) Distribute
7x=9x-180 Subtract 9x from both sides of the equation
7x-9x=-180 Simplify
-2x=180 Divide both sides by -2
x=90
∴There are 90 calories in a banana.
Find two consecutive whole numbers that √92 lies between.
Answer:
9 and 10
Step-by-step explanation:
Consider perfect squares on either side of 92, that is
81 < 92 < 100, thus
[tex]\sqrt{81}[/tex] < [tex]\sqrt{92}[/tex] < [tex]\sqrt{100}[/tex], that is
9 < [tex]\sqrt{92}[/tex] < 10
Final answer:
To find two consecutive whole numbers that the square root of 92 lies between, we calculate the square root of 92 to determine its approximate value, which falls between 9 and 10.
Explanation:
To find two consecutive whole numbers that √92 lies between, we need to calculate √92 to determine its approximate value. Since 92 is between 81 (9²) and 100 (10²), the square root of 92 lies between 9 and 10. Therefore, the consecutive whole numbers are 9 and 10.
coach currans team has won 5 times and lost 2 times.He hopes that his team can keep this same ratio of wins to losses.If the team has 10 losses,how many wins would they need to keep the record
Answer:
The answer is that the team has to have 25 wins.
Step-by-step explanation:
since the ratio is 2 losses to 5 wins, if you divide 10 by 2, you get 5. Multiply 5 by 5, since it is the other side of the ration, and you'll get 25 wins.
25:10 = 5:2
Answer:25
Step-by-step explanation:
Last week the office used 7 and 1/12 boxes of paper. This week, they used 3 and 5/12 boxes of paper. How many more boxes did they use last week then this week?
Answer:
3 and 8/12
Step-by-step explanation:
You subtract 3 5/12 from 7 1/12 to get 3 8/12
Answer:
1 and 8/12 or 1 and 2/3
Step-by-step explanation:
7 1/12-3 5/12
2 1/12- 5/12
1 8/12
On a fishing trip, Mariko caught 24 fish. She caught some rockfish averaging 2.5lbs and some bluefish averaging 8lb. The total weight of the fish was 137lbs how may of each fish did she catch.
Mariko caught 10 rockfish and 14 bluefish on her fishing trip.
Explanation:Let's define the number of rockfish caught as x and the number of bluefish caught as y.
According to the given information, the average weight of each rockfish is 2.5lbs and the average weight of each bluefish is 8lbs.
We can form two equations based on the total weight of all the fish and the total number of fish caught:
Equation 1: x + y = 24 (since Mariko caught a total of 24 fish)Equation 2: 2.5x + 8y = 137 (since the total weight of the fish was 137lbs)We can solve this system of equations to find the values of x and y by either substitution or elimination method. Using the elimination method:
Multiplying Equation 1 by 2.5, we get 2.5x + 2.5y = 60
Subtracting this equation from Equation 2, we get 8y - 2.5y = 137 - 60
Simplifying, we have 5.5y = 77
Dividing both sides by 5.5, we get y = 14
Substituting this value back into Equation 1, we have x + 14 = 24
Simplifying, we get x = 10
Therefore, Mariko caught 10 rockfish and 14 bluefish.
I NEED HELP ASAP Please
go to negative to and move left once and that'll give you 2 and 1 6ths then go to 1 and move right once cause 7 over 6 is 1 and 1 over 6
si la variable es cuantitativa, proporcione los valores posibles o el rango de valores que toma la variable.
Si la variable es categórica, enumere algunas categorías posibles para la variable.
Answer:
Illegal Immigrant
Step-by-step explanation:
Spanish.
helpo helpo helpo helpo helpo
Answer:
24 square centimeters
Step-by-step explanation:
Parallelagram Area fromula is A=bh
which is Area equals base times hieght
You just plug in the infromation in the problem and solve
A=bh
A=4x6
A=24
can someone help me ?
Answer:
y = -3/4x + 5
Step-by-step explanation:
Slope intercept form is y=mx + b
First, find the slope of the line. the points are (0,5) and (4,2), as marked. To find the slope, you do (y2-y1)/(x2-x1). Fill in the numbers and you get
(2-5)/(4-0). Simplify and you get -3/4 is the slope. Then, to find b, you have to fill in one coordinate pair and the slope into y=mx+b. So, I used (0,5).
5=(-3/4)(0) + b
Then you get 5=b by solving, and you fill in the slope and the y intercept in the slope intercept form equation. y = -3/4x +5. This is how you find the answer.
Ellen bought a new computer tablet for $460. She paid $100 at the time of purchase and will make monthly payments of $45 to finish paying for the tablet. She used the equation to determine the number of months (m) she needs to make payments. For how many months will she make payments?
Please help this is urgent!
Answer:
The answer is 8 months
Step-by-step explanation:
The new computer tablet is $460. She paid $100 at the time so I subtracted $100 from $460, which equals to $360. The monthly payments are $45 a month, so I divided $360 by $45, which equals 8. It takes 8 more months to finish the payment.
MARK AS BRAINLIEST
Answer:
8 payments
Step-by-step explanation:
460-100=360
45 x 8 = 360
40 seconds to 3 minutes
Answer:
not 100% sure
Step-by-step explanation:
40÷3=13.3 minutes
Answer:
Step-by-step explanation:
if you want the ratio 40 seconds to 3 minutes
3 minutes=60×3=180 seconds
40 seconds to 180 seconds=40/140=2/9
or 2:9
at current prices, roberta can drive her car 8.2 miles per dollar of gasoline that she buys. Roberta and three of her friends decide to go on a road trip to a neighboring university that is 105 miles away and agree to split the cost evenly . to the nearest cent, how much money will each have to contribute to get to the university and back?
Answer:
I think it's $12.80 but I might be wrong.
Each person will have to contribute $6.40.
Explanation:To find out how much money each person will have to contribute to get to the university and back, we can first find the total cost of the trip. The distance to the university and back is 2 times the distance to the university, which is 105 miles. So the total distance is 2 * 105 = 210 miles. Roberta's car can travel 8.2 miles per dollar of gasoline, so the total cost of the trip is 210 / 8.2 = 25.61 dollars. Since Roberta and three friends are splitting the cost evenly, each person will have to contribute 25.61 / 4 = 6.4025 dollars. Rounding to the nearest cent, each person will have to contribute $6.40.
Are 3/4 and 7/8 equivalent
Answer:
No.
Step-by-step explanation:
3/4 cannot be simplified. Neither can 7/8. Also, 3/4 as a decimal is 0.75, and 7/8 as a decimal is 0.875.
Answer:
No
Step-by-step explanation:
Is 3/4 less than 7/8? Is 3/4 smaller than 7/8? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/4 = 0.75
7/8 = 0.875
Then, we compare the two decimal numbers to get the answer.
0.75 is less than 0.875.
Therefore, 3/4 is less than 7/8 and the answer to the question "Is 3/4 less than 7/8?" is yes.
The function f is defined by f(x) = x2 - 6x +21.
What are the solutions of f(x) = 0?
Show your work on the scratchpad.
The solutions are:
[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]
Solution:
[tex]f(x) = x^2 - 6x + 21[/tex]
We have to find solutions when f(x) = 0
[tex]x^2 - 6x + 21 = 0[/tex]
Solve by quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-6,\:c=21\\\\x=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]
[tex]x = \frac{6 \pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}\\\\Simplify\\\\x = \frac{6 \pm \sqrt{36 - 84}}{2}\\\\x = \frac{6 \pm \sqrt{-48}}{2}\\\\x = \frac{6 \pm i \sqrt{48}}{2}\\\\simplify\\\\x = \frac{6 \pm 4\sqrt{3}i}{2}\\[/tex]
[tex]x = 3 \pm 2 \sqrt{3} i[/tex]
We have two solutions:
[tex]x = 3 + 2 \sqrt{3} i\\\\x = 3 - 2 \sqrt{3} i[/tex]
Thus the solutions are:
[tex]x =3+2\sqrt{3}i\\\\\:x=3-2\sqrt{3}i[/tex]