Answer:
63°Step-by-step explanation:
If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;
∠OZQ = ∠OZP+∠PZQ.
125 = 62 + ∠PZQ.
subtract 62 from both sides;
125 - 62 = 62 + ∠PZQ -62
63 = ∠PZQ
Hence the angle m∠PZQ is 63°
Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?
Answer:
He ate 0.5 strawberry
Step-by-step explanation:
4÷8 or 4×(1/8) =0.5 strawberry
Edit 1: Typo
Answer:
1/2 or half a strawberry
Step-by-step explanation:
1/8*4
Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, wheren is an integer
Given :
Let sin(45°)=0.7071.
To Find :
The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .
Solution :
We know , value of sin x and cos x is same at x = 45° .
Now , cos (-x) = cos(90°+x)
Therefore , μ in given question is :
μ =90°+45°
μ=135°
So , for angle of type 360°n + :
μ = 360°n + 135° .
Hence , this is the required solution .
Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?
Answer:
Alice is 33 years old.
Step-by-step explanation:
Alice is 3 more than twice Emma's age:
E = Emma
A = Alice
A = 3 + 2E
Sum = 48 years
So,
A + E = 48
(3+ 2E) + E = 48
3 + 2E + E = 48
3 + 3E = 48 (-3 both sides)
3E = 45
E = 45/3
E = 15
Emma is 15 years old.
A = 3 + 2E
A = 3 + 2(15)
A = 3 + 30
A = 33
Alice is 33 years old.
How do I simplify -11+5+6(-6+13)^2
Answer:
288
Step-by-step explanation:
To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First simply -6 and 13 (since they are in the parenthesis)
-11+5+6(7)^2
Now find out what 7^2 is
-11 + 5 + 6(49)
Next multiply 6 and 49 (294)
Lastly add 5 then subtract 11 from it
299-11
288
Answer:
Hello! :) I hope I am correct!
Step-by-step explanation:
(The answer should be 288)
Below is the steps!!
Steps:
⇒-6+6(-6+13)^2
⇒-6+6(7^2)
⇒-6+(6)(49)
The answer would be 288 if you solve this equation.
The last step:
⇒-6+294
Which equals 288
Therefore your answer would be 288.
Hope this helps!
By:BrainlyAnime! ^-^
(Just in case you didn’t understand, I attached a picture!)
The given box plots show the number of text messages Paul and Sally received each day on their cell phones. Select the true statement. * Captionless Image Paul's data has a larger overall spread than Sally's data. The median of Paul's data is equal to the median of Sally's data. The median of Paul's data is greater than the median of Sally's data. The interquartile range of Paul's data is less than the interquartile range of Sally's data.
Answer:
Its pauls data has a larger overall spread than sally.
Step-by-step explanation:
I just took the test and I got a 100. :)
Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?
4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes
An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?
Given :
An adults heart beats about 2100 times every 30 minutes.
A baby beats about 2600 times every 20 minutes.
To Find :
How many more heart beat baby have than adult in 60 min .
Solution :
Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]
Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]
Difference between them , [tex]7800-4200=3600[/tex] beats .
So , baby have 3600 more heart beats than adult .
Hence , this the required solution .
You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 100 dollars give or take 25. Write an inequality to describe the amount of money in your wallet.
Answer: 75 < x < 125.
Step-by-step explanation:
Let x be the amount of money in your wallet.
The phrase "100 dollars give or take 25" means wallet can have money between (100-25) dollars and (100+25) dollars.
i.e. 100-25 < x < 100+25
⇒ 75 < x < 125.
That means the amount of money in your wallet lies between 75 dollars and 125 dollars.
Hence, the inequality to describe the amount of money in your wallet is 75 < x < 125.
1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)
A) Associative (addition)
B) Associative (multiplication)
C) Commutative
D) Distributive
Answer:
d: distributive
Step-by-step explanation:
8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses out making it distributive.
JUST ANSWER ME PLEASE
Do the ratios 20/10 and 1/2 form a proportion?
Answer:
no
Step-by-step explanation:
they do not form a proportion because they are not equivalent to each other.
Evaluate the expression when g=3 and h=39.
h-5g
Answer:
29
Step-by-step explanation:
g=3 h=39
h-5g
Substitute the values in for the variables :
39-5(3)
Order of operations: multiply first
39-15
=24
Hope this helps :)
solve this please
[tex]5x - 2(4x + 11) = 14[/tex]
Answer:
Step-by-step explanation:
5x - 8x - 22 = 14
-3x - 22 = 14
-3x = 36
x = -12
Answer:
x = -12
Step-by-step explanation:
5x - 2(4x+11) = 14
5x - 2*4x -2*11 = 14
5x - 8x - 22 = 14
-3x = 14 + 22
-3x = 36
x = 36/-3
x = -12
Check:
5*-12 -2(4*-12 + 11) = 14
-60 -2(-48+11) = 14
-60 -2(-37) = 14
-60 + 74 = 14
Write the improper fraction 33/10 as a mixed number
the answer is 3 3/10
hope this helps
Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?
Answer:
volume of the sample is 10 cm³
Step-by-step explanation:
volume = 80 g / 8 g/cm³
volume = 10 cm³
I hope this helps you :)
-KeairaDickson
the difference of a number x and 5
Answer:
x-5
Step-by-step explanation:
"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.
- 3c = - 5 — 4с
I want to know the answer
Answer:
c=-5
Step-by-step explanation:
A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.
Step-by-step explanation:
in this problem, we are expected to convert from miles per hour to feet per second
a). What is her speed in miles per hour?
we know that speed= distance/ time
given that
distance= 26.2 mile
time= 5 hours
substitute and solve for speed we have
speed= 26.2/5
speed= 5.24 miles per hour
b) What is her speed in feet per second?
1 mile per hour is 1.46667 feet per second
5.24 miles per hours will give x
cross multiply to solve for x we have
x= 5.24*1.46667
x= 7.68 feet per seconds
Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2
Answer:
the range= {-16, -6, 0, 2}
Step-by-step explanation:
domain={0,1,2,3}
g(x)= -2x^{2} + 2
g(0)= -2(0)^{2} + 2 =2
g(1)= -2(1)^{2} + 2 =0
g(2)= -2(2)^{2} + 2= -6
g(3)= -2(3)^{2}+ 2= -16
the range = {-16, -6, 0, 2}
what is 18 less than the quotient of a number and 3 as an expression
Answer:
n/3 - 18
Step-by-step explanation:
"quotient of a number and 3" is n/3, and so
"18 less than the quotient of a number and 3" as an expression is:
n/3 - 18
please help me i'm confused
(grade 7-8)
An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer.
Answer:
5.8 , which approximately is 6 weeks.
Step-by-step explanation:
the first method is the short one since u just have to double the 85 then divide to 1000.
1000 ÷ ( 85 × 2)
1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.
the second method is the addition method.
we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.
85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.
1st 2nd 3rd 4th 5th 6th week.
u notice that we add (85×2), 170, to get the following week's number of followers..
in 5 weeks..... the number of followers is yet to get to 1000.
when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks
since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.
It will take [tex]6[/tex] week to reach [tex]1000[/tex] followers.
First, we are using two step to find the answers.
Division Addition
Division:
By given, A artist has [tex]85[/tex] followers.
Every week the no. of. followers is doubled .
Now, find how many week the artist reach [tex]1000[/tex] followers.
Since week followers is doubled,
So ,[tex]85*2[/tex]
Thus,
[tex]1000\div(85*2)\\\\=1000\div170\\\\=5.883[/tex]
Which is not possible .
Then, it take [tex]6[/tex] week to reach the [tex]1000[/tex] followers.
Addition:
By given, A artist has [tex]85[/tex] followers.
Every week the no. of. followers is doubled .
To find how many week the artist reach [tex]1000[/tex] followers.
Now, the first week has [tex]85[/tex] followers.
[tex]85[/tex] followers doubled.
[tex]85+85=170[/tex] followers doubled in every week .
Then,
Second week has [tex]85+85=170[/tex] followers.Third week has [tex]170+170=340[/tex] followers.Fourth week has [tex]340+170=680[/tex] followers.Fifth week has [tex]680+170= 850[/tex] followers.Sixth week has [tex]850+170= 1020[/tex] followers.Hence, the artist reach [tex]1000[/tex] followers in mid week of [tex]5[/tex] to [tex]6[/tex] week .
so, it approximately take [tex]5.88[/tex] week to reach [tex]1000[/tex] followers but which is impossible to take decimal in week .
Thus, the artist take [tex]6[/tex] week to reach the [tex]1000[/tex] followers.
For more information:
https://brainly.com/question/17367033
A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):
Answer:
[tex]\dfrac{1}{14}[/tex].
Step-by-step explanation:
It is given that,
Red marbles = 3
Blue marbles = 7
Orange marbles = 5
Total marbles = 3+7+5 = 15
Probability of getting a red marble is
[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]
[tex]P(Red)=\dfrac{3}{15}[/tex]
[tex]P(Red)=\dfrac{1}{5}[/tex]
If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,
Probability of getting an orange marble is
[tex]P(orange )=\dfrac{\text{Orange marbles}}{\text{Total remaining marbles}}[/tex]
[tex]P(orange)=\dfrac{5}{14}[/tex]
Now,
[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]
[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]
[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{14}[/tex].
If 26 out of 100 high school students plays high school sports, what fraction
and what percentage of high school students do not play sports?
Check all that apply
Answer:
26%, 26/100
Step-by-step explanation
The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.
Answer:
74/100 and 74%
Step-by-step explanation:
Can someone please help me I need help
Answer:
C and B.
Step-by-step explanation:
f(x) = 4 - x^2.
The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.
f(x) = 2^x + 5.
Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.
what is the answer?
1/3x + 4 = x - 2
Answer:
The answer is x = 9
Step-by-step explanation:
(1/3)*x+4 = x-2 // - x-2
(1/3)*x-x+2+4 = 0
6-2/3*x = 0 // - 6
-2/3*x = -6 // : -2/3
x = -6/(-2/3)
x = 9
If a/\2+1/a/\2=11, then a+1/a=?
Answer:
[tex] \pm \sqrt{13} [/tex]
Step-by-step explanation:
[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]
Is 8/5
an irrational number?
Which number line have a point that is equal to point p? Check all that apply
A and C is the answer
Answer: A and C
Step-by-step explanation:
I need help finding the Function notation
Answer:
1.5, -8, 0, 2f, 2/3
Step-by-step explanation:
j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.
j(0.75) = 2(0.75) = 1.5
j(-4) = 2(-4) = -8
j(0) = 2(0) = 0
j(f) = 2f
j(1/3) = 2(1/3) = 2/3
Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation
32.50 - (7.50*2) = 17.50
17.50 / 2.50 = 7