Answer:
x = 2/3
Step-by-step explanation:
The last two digit of postal code here is 12
We multiply this by x
so we have x * 12 = 12x
The number of family members is 6 ; and we are to equate it to my age which is 14
thus, we have the equation as;
12x + 6 = 14
12x = 14-6
12x = 8
x = 8/12
x = 2/3
The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .
Answer:
Their present age are 15 and 18
Step-by-step explanation:
a : b = 5 : 6
[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]
If a ball is thrown straight up with an initial velocity of 29.4 m/s, the
equation for the height "h" is given by h = -4.9t2 + 29.4t. When does the
ball return to the ground?
Answer:
6 sec
Step-by-step explanation:
when ball return to the ground, h is 0
0=at^2 +bt
0 = -4.9t^2+29.4t
factor: -4.9 times -6 is 29.4
0 = -4.9t(t-6)
set each equation to 0
-4.9t = 0 or t-6=0
t = 0 or t= 6
it's 6 seconds
Answer:
after 6 seconds in the air
Step-by-step explanation:
setting 'h' equal to zero will yield when the ball returns to the ground
you can factor out -4.9t to get:
-4.9t(t - 6) = 0
t = 0 (prior to ball being thrown)
t = 6 (this means, after 6 seconds, the height of the ball is back to zero)
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.
Which number line represents the graph of the solution to the inequality that represents the number of coats, c, that the seventh grade must still collect?
Answer:
The last number line or D.
Step-by-step explanation:
To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.
So:
78 - 13= 65
They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.
Hope this helps! Have a nice dayy! :)
line RP and line RQ are tangent to point G at P and Q. if the measurement of angle PRG=35 degrees, find the measurement of angle PGR.
Answer:
55°
Step-by-step explanation:
By theorem of specific circle, the radius is perpendicular to the tangential lineSummation of all internal angles equal to 180°Thus from the atrachment, the angle PGR is 180°-35°-90°
= 55°
The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle
Answer:
The height of the triangle is [tex]6[/tex] cm.
Step-by-step explanation:
----------------------------------------
The formula for solving the area of a triangle is [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.
Let's substitute 30 [tex]cm^2[/tex] for the area and 10 for the base.
[tex]30=\frac{1}{2} (10)h[/tex]
-------------------->>>>
Now, let's solve to find the height.
[tex]30=\frac{1}{2}(10)h[/tex]
Multiply [tex]\frac{1}{2}[/tex] times [tex]10[/tex]
[tex]30=5h[/tex]
Divide both sides by 5.
[tex]6=h[/tex]
-----------------------------------------
Hope this is helpful.
Answer:
6 cm
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
HELP PLEASEEEE !!!!!
Answer:
5%
Step-by-step explanation:
5 customers ordered large cold drinks so the probability would be 5/100
To convert 5/100 to percent, just do 5/100 x 100%
Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?
Answer:
also, Marie = 1/2
URGENT!!
Choose the steepest line.
y = -2x + 10
y = 5x - 20
y = 10x + 1
y = -12x - 3
Answer:
y=-12x-x
Step-by-step explanation:
y=mx + b
m=slope
m = -12
slope = rise / run -12/1
In a race, 23 out of 50 swimmers finished in less than 43 minutes. What percent of swimmers finished that race in less than 43 minutes?
Please help me on this T_T
Answer:
46%
Step-by-step explanation:
x : 100 = 23 : 50
x = (23 * 100)/50 = 46%
I understand the problem
Answer:
c.100
Step-by-step explanation:
first draw a figure of rhombus EFGH to avoid confusions
given
angle E= 3x+5
angle H= 4x
here,
E=G and H=F ( opposite angles of rhombus are equal)
now,
E+G+H+F= 360 ( sum of interior angles in a rhombus)
3x+5+3x+5+4x+4x= 360
x= 25°
we know that,
F= H
F= 4x
F= 4 × 25
F= 100
. If you subtract ½ from a number and multiply the result by ½, you get 1/8 what is the number?
pls answer in detail
Answer:
0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Use x for the equation: (x - 1/2)*1/2 = 1/8
Just go backwards
1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Calculate the total surface area and the volume of a cone of base diameter 9cm and slant height of 12cm
Answer:
T.S.A = 233.29 cm²
volume of the cone = 235.84 cm³
Step-by-step explanation:
Given;
diameter of the cone, d = 9 cm
radius of the cone, r = 4.5 cm
slant height of the cone, l = 12 cm
The total surface of the cone is calculated as;
T.S.A = πr² + πrl
T.S.A = πr(r + l)
T.S.A = 3.142 x 4.5(4.5 + 12)
T.S.A = 233.29 cm²
The volume of the cone is calculated as;
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where;
h is height of the cone
h² = 12² - 4.5²
h² = 123.75
h = √123.75
h = 11.12 cm
[tex]V = \frac{1}{3} \pi \times (4.5)^2 \times 11.12\\\\V = 235.84 \ cm^3[/tex]
a square garden has an area of 6400 square find its perimeter
Answer:
80
Step-by-step explanation:
Area of a square is LxL where L is the length of the side
so 6400 = LxL
L = 80
Apply the distributive property to create an equivalent expression.
\dfrac12(2a - 6b+ 8) =
2
1
(2a−6b+8)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 2, a, minus, 6, b, plus, 8, right parenthesis, equals
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]a-3b+4[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: a-3b+4
Step-by-step explanation:
Credits to guy up there
In parallelogram GHJK if m∡GHJ=140˚ find m ∡KGH.
Answer: m∠x = 40°
Step-by-step explanation:
This works the exact same way as the other one
Being adjacent angles in a parallelogram, the two angles would be supplementary (add up to 180°).
140° + x° = 180°
x = 40°
ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30°
Calculate the size of angle ABC.
9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked 12.5 hours and earned $110. How much money does Jamal earn per hour? Step I: Write an equation you can use to solve the problem. Be sure to define the variable you use. NOTE: If you are paid hourly, you must multiply your hourly rate by the number of hours worked in a week to find the amount of money made. (4
Answer:
$8
Step-by-step explanation:
12.5 hours earned him $110
then an hour will earn him less
12.5=$110
1=x then you cross multiply
12.5x=110
12.5x/12.5=110/12.5
x=8
therefore an hour will earn him $8
pls help me..... the question is in the attachment.... thank you
Answer:
I added some attachments as well, I hoped I helped.
can someone please help for brainlest
Answer:
The area will be 2 times the old area.
Step-by-step explanation:
When you double something, that means you multiply it by 2, therefor it will be 2 times the old area.
Answer:
option 3
Step-by-step explanation:
Length = 5 m, Base = 3 m
Area = Length x Base
= 5 x 3
= 15 m²
Base is double = 2 x 3 = 6 m
Length remains same = 5m
New Area = Length x Base
= 5 x 6
= 30 m²
The new Area is increase by 2 times the old Area .
Can You help me with this problem I’m stuck
Answer:
Last option,
i.e - 30 miles/1houris correct (☑️)
pls help due in 10 mins
Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
[tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]
[tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]
Slopes of parallel lines
Answer:
2
Step-by-step explanation:
Parallel lines have the same slopes
If the slope of line a is 2, the slope of line b is 2
Answer:
slope of line b = 2
Step-by-step explanation:
The slopes of parallel lines are equal
Given slope of line a = 2 and parallel to line b , then
slope of line b = 2
Convert 3.5 ⋅ 104 to standard form.
Answer:
In standard notation [tex]3.5 \times 10^4 = 35000[/tex]
In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.
----------------
If it was 3.5 x 104 it would equal 350.
Questions in the image.
Answer:
Step-by-step explanation:
1). 3x + 10
3(2) + 10
= 16
2). 14 - 2y
14 - 2(-3)
= 20
3). 7x - 5y
7(2) - 5(-3)
= 29
4). 5x + 7
5(2) + 7
= 17
5). 2x + 3y
2(2) + 3(-3)
= -5
6). 6y - 5x
6(-3) - 5(2)
= -28
Name the marked angle in 2 different ways.
1) angle RQP
2) angle PQR
4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?
Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
Consider the following system of two equations.
{y=−8x+10
y=x−8
What are the coordinates (x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
You throw a stone with a force of 55.1 N. It accelerates at 41.6 m/s2.
Find the mass of the stone in kg. Round your answer to 1 decimal place.
Answer:
Mass = 1.3 Kilograms.
Step-by-step explanation:
Given the following data;
Force = 55.1 N
Acceleration = 41.6 m/s²
To find the mass of the stone in kg;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
55.1 = mass * 41.6
[tex] Mass = \frac {55.1}{41.6} [/tex]
Mass = 1.3 Kilograms
Expected value is: Group of answer choices the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually the sum of all probabilities of all possible outcomes of a future event occurring the sum of all possible outcomes of a future event, weighted by its probability of occurring
Answer:
the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.
Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.
A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club
a) graph the linear system. When would the cost of the two membership plans be the same
B) describe a situation under which you would
Choose each plan
Help please
