Answer:
[tex]\boxed{a = 6.4}[/tex]
Step-by-step explanation:
Given:
[tex]x:y = (4):(5)[/tex]
Let the value of "x" be known as "a".
[tex]x:y = a:8[/tex]
Setting up the proportion:
[tex]\rightarrow 4:5 = a :8[/tex]
Multiplying the middles and the extremes:
[tex]\rightarrow 5a = 4 \times 8[/tex]
Simplifying the RHS:
[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]
[tex]\rightarrow \boxed{a = 6.4}[/tex]
Thus, the value of x is 6.4 when y is 8.
Answer:
[tex]\sf x=\dfrac{32}{5}[/tex]
(or x = 6.4 if you want it in decimal form)
Step-by-step explanation:
If y and x have a proportional relationship, then:
y = kx (for some constant k)Given:
x = 4y = 5Substitute the given values into the equation to find k:
⇒ 5 = k(4)
⇒ k = 5/4
Therefore, [tex]\sf y=\dfrac54x[/tex]
When y = 8, substitute y = 8 into the equation and solve for x:
[tex]\sf \implies \dfrac54x=8[/tex]
[tex]\sf \implies x=8 \cdot \dfrac45[/tex]
[tex]\sf \implies x=\dfrac{32}{5}[/tex]
An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50
How many numbers from 1 to 50 are multiples of 3?
3, 6, 9, 12, 15, 18 .......
Let's change the start and end value of the array and find the number of terms
Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.
There is a formula that allows us to quickly find the number of terms
We subtract the first term from the last term and divide by the amount of increase, then we add 1.
(48 - 3) / 3 + 1 = 16 numbers are exactly divisible by 3.
We have 50 numbers and 16 of them divisible by 3
16 / 50 = 8 / 25 probability
The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have the number from 1 to 50.
Total numbers between 1 to 50 or total outcomes = 50
Total favorable outcomes = total number which is divisible by 3
[tex]=\frac{48-3}{3} +1[/tex]
= 15 + 1
= 16
Now probability will be:
= 16/50
= 8/25
Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
Learn more about the probability here:
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#SPJ4
"The difference of six and twice a
number is five."
Answer:
x = 1/2
Step-by-step explanation:
twice a number = 2x
difference means subtract 2x - 6 = 5
2x - 6 = 5 Add 6 to both sides.
2x + 6 - 6 = 5 + 6 Combine
2x = 11 Divide by 2
2x/2 = 11/2
x = 5.5
Is the answer different if it is done the other way around for the difference?
6 - 2x = 5 Subtract 6 from both sides
-2x = 5-6 Combine
-2x = - 1 Divide by -2
-2x/-2 = -1/-2
x = 1/2
Yes they are different. Following the way the question is written, I would choose the second method.
Reporting bots and absurd answers. will give brainliest when possible
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
x squared over 12 minus y squared over 24 equals 1
x squared over 12 minus y squared over 48 equals 1
y squared over 12 minus x squared over 24 equals 1
y squared over 48 minus x squared over 12 equals 1
Answer:
The answer is y squared over 12 minus x squared over 24 equals 1
Step-by-step explanation:
Which of the following can be written as an expression? Select all that apply.
Half the difference of 5 and 3
7 is less than twice x.
Five and a half times x is 44.
Twice the product of 3 and 8
5 less than x
Answer:
5-3/22x-75 1/2x = 442(3x8)X-5What is the answer for this question?
Answer:
64 cm³
Step-by-step explanation:
The volume of a cube is an edge cubed. Since all the sides/edges are the side, you do 4 * 4 * 4 which gets 64
Help literally fast at possibly
Answer:
Yes you want to do it again soon
PLEASE HELP QUICK
9) Which of these MOST helped J.R.R. Tolkien to become a successful writer?
A) His sense of humor.
B) His loving children.
©) His creative imagination.
D) His appetite for success.
Answer: C) His creative imagination
Step-by-step explanation:
J.R.R. Tolkien's creative imagination most helped him to become a successful writer
Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
Group of answer choices
A.15 minutes before 7:00
B.15 minutes after 6:00
C.45 minutes before 7:00
D.45 minutes after 7:00
Answer: C. 45 minutes before 7:00
Hope this helps! :)
Brainliest please.
given that 2x^2 - 2y^2 = 40 and x-y=5, find the value of (x+y)
Answer:
x+y=4
Step-by-step explanation:
hello :
note : by identity you have x²-y² = (x-y)(x+y)
in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)
means : 2 (x-y)(x+y) = 40
but x-y = 5
so : 2(5)(x+y) =40
x+y=40/10
x+y=4
please help with the word problem
Answer:
10 mins
Step-by-step explanation:
i hope this helps
Answer:
10 minutes.
Step-by-step explanation:
10 x 3 is 30.
Solve each equation.
Equation 1: x=32
Equation 2: y=28
Answer:
x = 32
x = 28
Step-by-step explanation: hope this helps
100 points!!! please help with this math!!!
Answer:
Height = 9 cm
Volume = 243 cm³
Surface area = 270 cm²
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.
The height of the prism is also called the length, and is the measure of the length that connects the two bases.
So for this prism the height is 9 cm.
Area of the base = (6 × 3) + (3 × 3)
= 18 + 9
= 27 cm²
Volume of a prism = area of the base × height
= 27 × 9
= 243 cm³
Total surface area = (2 × base area) + side areas
= (2 × 27) + 2(6 × 9) + 4(3 × 9)
= 54 + 108 + 108
= 270 cm²
Scale word problem
Someone please help me!!
Answer:
38.4 km
Step-by-step explanation:
Use a proportion.
1 cm is to 12 km as 3.2 cm is to x km.
1/12 = 3.2/x
1 × x = 12 × 3.2
x = 38.4
Answer: 38.4 km
A farmer plants wheat and corn. It costs about $150 per acre to plant wheat and about $350 per acre to plant corn. The farmer plans to spend no more than $250,000 planting wheat and corn. The total area of corn and wheat that the farmer plans to plant is less than 1200 acres
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of wheat acres and y represent the number of corn acres, hence:
150x + 350 y ≤ 250000 (1)
Also:
x + y < 1200 (2)
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
Find out more on inequality at: https://brainly.com/question/24372553
the question is in the attachment
Answer:
1 and 7
Step-by-step explanation:
let me know if this is helpful!
The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?
Answer:
6.55 miles
Step-by-step explanation:
26.2 miles in 4 hours means 6.55 each hour adds up to the total.
Do ---> 26.2 divided by 4 to get hourly miles = 6.55
1. give each solid a geometric name. be as precise as you can
а
b
с
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
Learn more about geometric on:
https://brainly.com/question/16982223
(-3, -2) (2, 1) Find the slope
Answer:
for just the slope its 3/5 or in decimal its .6
Step-by-step explanation:
y's on top x's on bottom
1--2
1+2=3
2--3
2+3=5
so slope is 3/5 or .6
please only geniussssssssssssssssss
Check the picture below.
Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.
Answer:
£1,330.46
Hope this helps, mate!
Step-by-step explanation:
Hope this helps, mate! :)
It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?
Liz's tea was too hot to drink, so she put it in the freezer. The temperature of the tea was
initially 175°F, and it decreased by about 7% each minute. You can use a function to approximate the
temperature of Liz's tea X minutes after she put it in the freezer.
Which equation represents this function?
The answer for this equation funtion would be The first one because it is the correct answer.
Answer:
Step-by-step explanation:
How many apples could you buy if you went to the store with five dollars?
Answer:5 apples
Step-by-step explanation:5x1=5
Assessment started: undefined. Item 1 What is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} Enter your answer in the box.
{11, 13, 13, 14, 14, 16, 18, 23, 24}
mode: 13, 14median : 14minimum : 11maximum : 24interquartile range : 7.5total numbers : 9As it's odd
Median:-
n+1/29+1/210/25Median is 5th term 14
find the value of x, round to the nearest 10th
I will give brainliest
4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?
Answer:
72 breakfasts
Step-by-step explanation:
number of entrees: 4
number of drinks: 6
number of vitamins: 3
four times six times three =
72
In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?
Please help I will give brainliest.
To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.
-> See attached for graph
1.5x + 4.5y = 18
4.5y = -1.5x + 18
y = -[tex]\frac{1}{3}[/tex]x + 4
The slope is -[tex]\frac{1}{3}[/tex]
y = -1/3x + 4
The y-intercept is (0, 4)
The x-intercept is (12, 0)
Use the equation machine to help you solve the addition equation.
k=8
k=9
k=17
k=26
Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.
How much money did Sofia have before her birthday ?
Answer:
67.5
Step-by-step explanation:
135/2=67.5
answer is $67.50