Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = 8x
Let the third number = x + 100
x + 8x + x + 100 = 480 Combine like terms
10x + 100 = 480 Subtract 100
- 100 -100
10x = 380 Divide by 10
x = 380/10
x = 38
First number = 38
Second number = 8*38 = 304
The third number = 38 + 100 = 138
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answer:
B. neither of them are solutions
What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet
Answer:
25 feet
Step-by-step explanation:
using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]
which measurement is closest to the area of the shaded region in square inches
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation:
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
A
Step-by-step explanation:
Answer:
it is A because the shape is the same and is just facing a different way
Step-by-step explanation:
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
measures 3. What is the measure of side R'P'?
Answer:
1
Step-by-step explanation:
A third of 3=1
3/3=1
Convert. 2/3and 4/6 into like fraction
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
51
Step-by-step explanation:
What’s the answers to 15 and 16
Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7
Answer:
B all numbers less than 7
Step-by-step explanation:
x < 7
B all numbers less than 7
----------------------
< is less than
≤ is less than or equal
> is greater than
≥ is greater than or equal
Answer:
b XD
Step-by-step explanation:
find mHK please help
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
The equation y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in
Answer:
10 in
Step-by-step explanation:
Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?
Answer:
Okay very easy, The answer is: She sold 5 cupcakes.
Step-by-step explanation:
She sold 5 cupcakes
Because if you add 3 till you get to 15 you get 5
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answer:54.9
Step-by-step explanation:
How would you characterize the relationship between the hours spent on homework and the test scores
Answer:
sorry can'thelp
Step-by-step explanation:
Answer and explanation:
I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!
The ___________ of a numerical set of data is the value that occurs most frequently.
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
How many holes need to be drilled for 24 parts
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?
Answer:
1080 cheeseburgers
Step-by-step explanation:
If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080
I do not know what to do with the Sunday information, so perhaps the question is not complete.
Hope this helps!
Explain how to graph the following including asymptotes and key features. f(x)=3^x+2
Answer:
y=2
Step-by-step explanation:
An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour
Can someone help me with number 7 and 13 ? I graduate in a week an have to have this work done or I will not be graduating
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
Answer:
SA = 56 sq mi
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
SA = 16 + 1/2(16)(5)
SA = 16 + 8(5)
SA = 16 + 40
A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.
b.How long will it take to reach the ground?
Answer:
Step-by-step explanation:
h = - 16t ^ 2 + 50t + 4
maximum height take the first derivative of h (calculus if you are taking it)
h' = -32t + 50 set this equal to zero
0 = -32t +50
t = 50/32
t = 1.5625 now plug t = 1.5625 into the height equation
h = - 16(1.5625) ^ 2 + 50(1.5623) + 4
h = 43.0625 ft
you can also find the maximum height by graphing the function and locating the peak value (much easier)
how long to reach the ground h = zero
0 = - 16(t) ^ 2 + 50(t) + 4
use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that
t = -0.078 and 3.203 seconds
obviously the negative root makes no sense unless he time travelled so
t = 3.203 seconds