=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
Someone help me! I have a pic down below.
Is this a function?
(2,3) (3,3) (4,3) (5,3)
Answer:
Step-by-step explanation:
Yes, it is, because the inputs {2, 3, 4, 5} are all different.
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.
Solve for x
|2x+1| + |3x-4| = 5
Answer:
0, 8/5
Step-by-step explanation:
You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)
During a bean flipping experiment Fiona modeled her data using the function
f(t) = 4.127 (1.468) and Karl modeled his data with the function
k(t) = 0.897 (1.992) where t represents the number of trials and f(t) represents
the number of beans.
At what number of trials would Fiona and Karl have the same number of beans?
A.3
B4
C.5
0.6
Answer:
C.5
Step-by-step explanation:
Fiona:
After t trials, she would have:
[tex]f(t) = 4.127(1.468)^t[/tex]
Karl:
After t trials, he would have:
[tex]k(t) = 0.897(1.992)^t[/tex]
At what number of trials would Fiona and Karl have the same number of beans?
This is t for which:
[tex]f(t) = k(t)[/tex]
So
[tex]4.127(1.468)^t = 0.897(1.992)^t[/tex]
[tex]0.897(1.992)^t = 4.127(1.468)^t[/tex]
[tex]\frac{(1.992)^t}{(1.468)^t} = \frac{4.127}{0.897}[/tex]
[tex](\frac{1.992}{1.468})^t = 4.6[/tex]
[tex](1.35695)^t = 4.6[/tex]
[tex]\log{(1.35695)^t} = \log{4.6}[/tex]
[tex]t\log{1.35695} = \log{4.6}[/tex]
[tex]t = \frac{\log{4.6}}{\log{1.35695}}[/tex]
[tex]t = 5[/tex]
So the correct answer is 5 trials, option C.
The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The AJC found 60% favored voting on paper ballots they filled themselves (as opposed to voting with a computer). Find a confidence interval for the proportion of all registered voters that favor at 85% confidence level. a) (0.576, 0.624) b) (0.376, 0.424) c) (0.583, 0.617) d) (0.586, 0.614)
Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence [tex]z_\frac{\alpha }{2} =1.44[/tex]
The margin of error (E) is:
[tex]E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024[/tex]
The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?
Answer:
a) (15 × 32) + (15 × 68)
b) Distributive property
c) $1500
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,
a. Write a numerical expression for the given statement.
The numerical expression for the given statement is written as:
$15 × 32 liters + $15 × 68 liters
15 × 32 + 15 × 68
B. Which property of whole numbers would you use to form a numerical expression for the given statement?
The property that I would use to form a numerical expression is a distributive property
a × (b + c) = (ab + ac)
Where a = $15
b = 32 liters
c = 68 liters
Hence:
15 (32 + 68) = (15 × 32) + (15 × 68)
C. How much money he gets per day for the supply?
The amount he gets per day:
15 (32 + 68) = (15 × 32) + (15 × 68)
= $1500
please show your work
Answer:
a) - 10
Step-by-step explanation:
The two angles are vertical angles:
Angles that have a common vertex and whose sides are formed by the same lines.
Therefore, set your formula up as following
x+5=2x-5
x + 5 - 2x = -5
-x + 5 = -5
-x = -10
The topic is about secant tangle angles
Answer:
41
Step-by-step explanation:
360-(104+104+111)=41
HELP!!!!! need the answer
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
A rental car company charges $62.47 per day to rent a car and $0.09 for every mile driven. Ariana wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $320 to spend.
What is the maximum number of days that Ariana can rent the car while staying within her budget?
Answer:
only 11 days
Step-by-step explanation:
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
Can someone help me with this ?
Answer:
Step-by-step explanation:
the side opposite of K is JL.
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
Solve the problem and enter your solution for the variable below. Do not include units in your answer. The scale below shows the weight, in grams, of two identical blocks. How many grams does one of the blocks weigh?
Answer:
1) 100+10+10 = 120
2) 120 : 2 = 60
1 block — 60
If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find how old Joe is.
Answer:
He is 20 at oldest, or [tex]x\leq 20[/tex]
Step-by-step explanation:
The first step in finding a possible age is:
Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.
This means Joe is younger than or 20 years old.
Check all that apply. is the reference angle for:
A.
1277
4
B.
1577
4
D C
1977
4
D.
777
Answer:
B. C. and D.
Step-by-step explanation:
Helppp math help !!!!!!
Step-by-step explanation:
it should be x= -3 and x= 1
Find the missing number to make these fractions equal.
2/8 = ?/4
Answer:
?= 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
let the missing number be x
2/8=x/4(do cross multiplication)
8*x=4*2
8x=8
x=8/8
x=1
How do you find the area of a circle???
(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression
shows the amount of money she earned? A) 17.50/x+y B) 17.50 (x+y) C) 17.50x+y. D)17.50xy
Answer:
B. 17.50(x + y)
Step-by-step explanation:
So lets find the equation for monday:
It would be 17.50 times x
or:
17.50(x)
For Tuesday:
17.50 times y
17.50(y)
17.50(x) + 17.50 (y) = 17.50(x+y)
Or B.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
explain how you can determine if a triangle is a right triangle. (make it look like a middle schooler wrote it :) )
Answer:
if one of the angles is 90°
Step-by-step explanation:
when it has an angle that is 90° that means that it is a right triangle
let me know if you need more b/c I wasn't sure whether to make it more advanced for middle school lol
Hope this helps! :)
MATH PLEASE HELP ! PLEASE
Answer:
wait I am solving this
Step-by-step explanation:
mark it as the brainliest to get the answer
Divide 78 in the ratio 8 : 1 : 4
Answer:
78×8/13=48
78×1/13 =6
78×4/13=24
8:1:4
48:6:24
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
Answer:
Step-by-step explanation:
its about 263.08!
====================================================
Explanation:
We'll use this formula
S = (x/360)*A
where,
S = area of pie slice, aka sectorx = central angle in degreesA = area of full circleWe'll plug in S = 85.5 and x = 117 to find solve for A.
S = (x/360)*A
85.5 = (117/360)*A
85.5*(360/117) = A
A = 85.5*(360/117)
A = 263.076923076923 which is approximate
A = 263.08 square meters (choice C)
------------
Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.
Find missing measure
Answer:
x = 40°
Step-by-step explanation:
using the angle sum theorem...
180 - 90 - 91 - 51 = 40
Answer:
Step-by-step explanation:
51+x+90+91=360(sum of four angles is always 360 degree)
232+x=360
x=360-232
x=128
please someone help me with this
Answer:
260 cm³Step-by-step explanation:
Full surface area:
S = 3(6*10) + 2(1/2*8*10) = 260 cm³Answer:
Surface Area = Surface Area of triangle + SA of rectangle
Surface Area = 3 × (6 × 10) + 2 × ½ × 8 × 10
Surface Area = 3 × 60 + 80
Surface Area = 180 + 80
Surface Area = 260 cm ³
[tex] \\ [/tex]
Simplify : (3-3y+y)
ANSWER ?
Can you help me find this answer its due in a few minutes?
Answer:
D. 3.2 in^2
Step-by-step explanation:
48 divide 15 = 48/15 = 3.2
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5