Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:
[tex]\frac{5}{5 + 2 + x} = \frac{5}{7 + x}[/tex]
Both fractions are equal, so:
[tex]\frac{5}{7 + x} = \frac{1}{2}[/tex]
Applying cross multiplication:
[tex]7 + x = 10[/tex]
[tex]x = 10 - 7[/tex]
[tex]x = 3[/tex]
The value of x is 3.
In ΔABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ?
Question 1 options:
133°
47°
86°
143°
94°
Answer:
133
Step-by-step explanation:
A + B = 47
A + B + C = 180
47 + C = 180
C = 180 - 47
C = 133
The normal rainfall in September for Denver is 1.24 inches. The normal rainfall for Miami in September is 7.63 inches. The normal rainfall in January for Miami is 2.01 inches. The normal rainfall in January for Denver is 6.91 inches.
To the nearest tenth of an inch, how much more rain does Miami get in September than it gets in January?
Answer:
5.60 inches
Step-by-step explanation:
7.63 - 2.01 = 5.62
5.62 ≈ 5.6
Tell me if there is any missing information in the question because the information for Denver seems useless and there probably something missing
Write a decimal that is less than 3.45 but greater than 3.0. helppp!
Answer:
any decimal between 3.0 and 3.45. You can,use 3.25 if u don't wanna think about it
Answer:There are mutipal answers but here’s one 3.1
Step-by-step explanation:
Helpp I’m begging ty
Answer:
40
Step-by-step explanation:
i asked siri
Find the probability of the event that get an even number or multiple of 4, that is 4n, with given sample space S.
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
P(even# U 4n) = ?
Answer:
4, 8, 12 2, 6, 10, 14
7/15 chance of getting even of multiple of 4
simplify the first expression 5 (m + 1) -1
Answer:
5m+4
Step-by-step explanation:
(5m)+5(1)-1
5m+5-1
Answer:
5m+4
Step-by-step explanation:
You basically do the distribution property with the 5(m+1)= 5(m)+5(1)-1
5m+5 - 1
5m+4
7ax−7bx−2ay+2by
Factor by grouping
Answer:
(7x−2y)(a−b)
Step-by-step explanation:
To tell the truth I am just guessing from what I know I AM ONLY 13 DON"T EXPAECT TOO MUCH FROM ME!
An item costs $34 it has a sales tax
rate of 5%. What is the amount of
sales tax for that item?
tax
0.00
+/-
Answer:
$1.70
Step-by-step explanation:
34 x 0.05 = 1.70
$1.70 is the tax
Ratio of the ages of three children is 2:5:1. The sum of their ages is 32 years. Find the ages of the youngest and the eldest
child.
Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.
HELP! Does the pythagorean theorem work for every triangle or just for right triangles?
a. everytriangle
b. only right triangles
Answer:
This is so easy!
ONLY RIGHT TRIANGLES
Did you really ask this question?
Tip: You should learn the basics first.
Eloise can fertilize her lawn in t hr. What is the rate at which she does this job?
Answer:
1 / t
Step-by-step explanation:
The rate at which a job, chore or a certain task is executed is expressed as the reciprocal of the time taken to complete such task. That is ;
Rate = 1 / time taken
From the scenario above, the time taken = t hours
Then the rate at which work is done can be expressed as :
1 / t
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 120 and a standard deviation of 8. What is the probability that a randomly
selected male's systolic blood pressure will be less than 108, to the nearest
thousandth?
Answer:
0.89
Step-by-step explanation:
The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, mean = 110, standard deviation = 8
P = [tex]\frac{x_{mean}-x }{SD}[/tex]
P = (110 - 108)/8
P = 2/8 = 0.25
P(Z<0.25) = 0.5 - 0.25 = 0.25
Thus, The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.
Learn more about Probability from:
https://brainly.com/question/14210034
#SPJ2
Write the number six and a half thousand in figures
Answer:
Step-by-step explanation:
6500 is the correct answer
Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $
Answer:
10$
Step-by-step explanation:
In ΔMNO, o = 63 cm, n = 23 cm and ∠N=30°. Find all possible values of ∠O, to the nearest degree.
Answer:
No triangle possible
Step-by-step explanation:
What’s the slope???? Please help meee!
Answer:
The slope is 0.
Step-by-step explanation:
Suppose we have two points in a data set, the slope is given by the change in the output divided by the change in the input.
In this question:
Two points: (0,-20) and (1,-20)
Change in the output: -20 - (-20) = -20 + 20 = 0
Change in the input: 1 - 0 = 1
Slope: 0/1 = 0
The slope is 0.
Which triangles are similar to △DEF?
Answer:
I believe it should be feg
Find the volume of the pyramid.
Please Help!
Answer:
144cm
Step-by-step explanation:
Just search it up lol
Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help
Answer:
y = 4 1/2
x = 8 1/2
Step-by-step explanation:
x + y = 13
x - y = 4
substitution method: let x = 4+y
4+y + y = 13
2y = 9
y = 4 1/2
x = 8 1/2
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
Please help me with this question.
Answer:
A
Step-by-step explanation:
F(-2)= 4(-2)-1= -9
G(-2)= (-2)^2-3= 1
f(-2)-(g-2)= -9-1= -10
HELP PLEASEEEEEEEE I NEED HELP ASAP
Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320
CANT SEE OTHER SORRY
Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont
cheat imma give ya answer to be noice
The number of hours per week that the TV is turned on is determined for each family in a sample.
The mean of the data is 37 hours.
The median is 33.2 hours.
Twenty four of the families in the sample watched TV for less than 22 hrs per week.
The 16th percentile is 22hrs.
150 families participated in the study.
The first percentile is greater than or equal to 22 hours: True or False?
Answer:
False, the first percentile is less than 22 hours.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.
This means that 22 is the:
24*100%/150 = 16th percentile.
The first percentile is greater than or equal to 22 hours: True or False?
The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.
A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200
Answer:B
Step-by-step explanation:
$825
If x=3 and y=7, evaluate the following expression: 100 − 3 ( 3 − 4x )
Answer:
[tex]100 - 3(3 - 4x) \\ = 100 - 3(3 - 4 \times 3) \\ = 100 -27 \\ = 73[/tex]
Answer:
873
Step-by-step explanation:
100 - 3 ( 3- 4x ) 97 ( 3 - 4×3 )97 (3 - 12 ) 97 × 9 873Factor this trinomial.
x²+x-2
A. (x - 2)(x - 1)
B. (x-2)(x + 1)
O C. (x + 2)(x - 1)
D. (x + 2)(x + 1)
Answer:
(x−1)(x+2)
Step-by-step explanation:
The middle number is 1 (1x) and the last number is -2.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 1
Multiply together to get -2
Try -1 and 2:
-1+2 = 1
-1*2 = -2
Fill in the blanks in
(x+_)(x+_)
with -1 and 2 to get...
(x-1)(x+2)
Hope this helps!
Geometry pls help :(
Answer:
900 pi for first question and 14137 for 2nd
Step-by-step explanation:
SA=4pi r^2
r=15 (30/2)
SA=4pi(15^2)
SA=900pi
V=4/3pi r^3
V=4/3(3.14)(15^3)=14137
Answer:
Surface area: 900π in²
Volume: 4500π in³
Step-by-step explanation:
A = 4πr² = 4π(15²) = 900π
V = 4/3 πr³ = 4/3 π(15³) = 4500π
What is c? This is pythgreomthryrom a=8 b=6 c=?
Answer:
4
Step-by-step explanation:
BC is included between?
Answer:C
Step-by-step explanation: goobaldy gock
Answer:
the answer is B not C you're welcome
PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.
Note: Figure is not drawn to scale.
What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°
Answer:
B. 56°
Step-by-step explanation:
We are given that m∠R is 66° and m∠T is 122°.
We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.
Now, we can use ∠R and ∠S to find ∠Q.
66° + 58° = 124°
180° - 124° = 56°
Answer:
m∠Q is 56°.
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.
In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.
So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.
Therefore, m∠Q is 56°.