Answer:
The ratio for AD:DC is 2:3
Step-by-step explanation:
The given information are;
The ratio by which point B splits AC as AB:BC = 2:1
The ratio by which point D splits AB as AD:DB = 3:2
Therefore, we have;
The fraction of AC that is equal to AB is given as follows;
AB = 2/(2 + 1) × AC = 2/3 × AC
AB = 2/3 × AC
Similarly
BC = 1/3 × AC
Also the fraction of AB that is equal to AD is given as follows;
AD = 3/(3 + 2) × AB = 3/5 × AB
AD = 3/5 × AB
Therefore, the fraction of AC that is equal to AD is given as follows;
AD = 3/5 × AB = 3/5 × 2/3 × AC = 2/5 × AC
Therefore, DC = (1 - 2/5) × AC = 3/5 × AC
Which gives the ration of AD to DC or AD:DC as being;
AD:DC = 2/5 × AC : 3/5 × AC = 2/5:3/5 = 2:3
The ratio for AD:DC = 2:3.
solve for the value of x 1+6.9x=-1.8+5.9x
Answer:
x=-2.8
Step-by-step explanation:
[tex]1+6.9x=-1.8+5.9x\\\\1-1+6.9x=-1-1.8+5.9x\\\\0+6.9x=-2.8+5.9x\\\\6.9x=-2.8+5.9x\\\\6.9x-5.9x=-2.8+5.9x-5.9x\\\\1x=-2.8+0\\\\x=-2.8[/tex]
A student says the sum,difference,product, and quotient of two integers are always integers. do you agree? explain .
Please help .
The student is not entirely correct. If the student said "the sum, difference, and product of two integers are always integers", then they would be fully correct. I left out "quotient".
Dividing two integers doesn't always lead to an integer result. For example, 10/7 = 1.43 approximately.
What are real numbers?
Please explain very clearly, because I’m kinda dense
Answer:
A real number is a value of a continues quantity that can represent a distance along a line.
Answe
Step-by-step explanation:
a rectangle has a width of 4 cm and a length of 8cm is scaled by a factor of 6.what are the side lengths of the scaled copy
Answer:
[tex]\huge\boxed{\text{Width: } 24 \ \ \ \text{Length: } 32}[/tex]
Step-by-step explanation:
When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.
[tex]4 \cdot 6 = 24\\\\4 \cdot 8 = 32[/tex]
Hope this helped!
Can someone please answer this
Answer:
your answer is 3 this is a simple equation type this into to brainly next time it will give you the answer
sally had 224 dollars to spend on 8 books After buying them she had 16 dollars. How much did each book cost?
Answer:
28.50$
Step-by-step explanation:
244-16=228
228 divided by 8 = 28.5
each book cost 28.50$
The slope of the line that goes through the points (1,-19) and (-2,-7) is
Answer:
Slope is -11/3
Step-by-step explanation:
Let (x1,y1) = (1,-19) and (x2,y2) = (-2,-7)
Slope = (y2-y1)/(x2-x1)
-8-(-19)/(-2-1) = -8+19/-3 = -11/3
Answer:D
Step-by-step explanation:
The table shows some ordered pairs that belong to quadratic function h.
Answer:
C. Are all real numbers greater than or equal to -8.
Step-by-step explanation:
Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.
The range of h, h(x), in the table given are all real numbers.
The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.
Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".
Which of this is/are true? i: 11>9 ii. -11 > -3 iii.6-3 <-2
If pennies and dimes come in rolls of 50 coins each, while nickels and quarters come in rolls of 40 coins each, how many dollars is 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters?
We will have $129.5 of 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters.
Given:
Pennies ( $0.01 ) come in rolls of 50 coins each,
Dimes ( $0.1 ) come in rolls of 50 coins each,
Nickels ( $0.05 ) come in rolls of 40 coins each,
and Quarters ( $0.25 ) come in rolls of 40 coins each.
5 rolls of pennies, 7 rolls of dimes, 6 rolls of nickels, 8 rolls of quarters came.
Thus,
[tex]\begin{aligned} \rm{Total\; Value}&=0.01 \times 50 \times 5 + 0.1 \times 50 \times 7 + 0.05 \times 40 \times 6 + 0.25 \times 40 \times 8\\&= 2.5 + 35 + 12 + 80\\&= \$129.5 \end{aligned}[/tex]
Thus, in total, we will have $129.5 of 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters.
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Write and solve an equation to find the number of miles you must drive to have the same cost for each of the
car rentals. Let m represent the number of miles.
20 plus $0.50 per mile
$30 plus 50.25 per mile
Write an equation
Answer:
20+0,5m=30+0,25m
0,5m-0,25m=30-20
0,25m=10/0,25
m=40
Step-by-step explanation:
Equation for the given condition is equals to 20+ 0.50m = 30 +0.25m. Value of the m= 40miles.
What is an equation?" Equation is defined as the algebraic expression which is represent by sign of equality."
According to the question,
m represent the number of miles
Cost for blue car rental = $20 + 0.50 per mile
= 20 + 0.50m
Cost for red car rental = $30 + 0.25 per mile
= 30 + 0.25m
Both the cars have same rentals.
Therefore,
Equation for the given condition
20 +0.50m = 30 +0.25m
⇒0.50m - 0.25m = 30 - 20
⇒0.25m = 10
⇒m = 10 / 0.25
⇒m = 40miles
Hence, equation for the given condition is equals to 20+ 0.50m = 30 +0.25m. Value of the m= 40miles.
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| m+4 | = -7
how to solve
x + 300=369
Please help school work.
Answer:
Step-by-step explanation:
x + 300 =369
x = 69
subtract 300 on both sides
Hey there!
[tex]Answer:\boxed{x=69}[/tex]
[tex]Explanation:[/tex]
[tex]x+300=369[/tex]
To solve, you can do 369 - 300.
[tex]369-300=69[/tex]
Let's make x to 69 to see it it's true.
[tex]69+300=369[/tex]
x = 69 is true.
[tex]\boxed{x=69}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
How to write y=-1/2x + 1 in standard form
Hey there!
ANSWER: [tex]x+2y=2[/tex]EXPLANATION:The equation in y=mx+b is [tex]y=-\frac{1}{2}x+1[/tex]
To write in standard form, it would look like: [tex]Ax+By=C[/tex]
As you can see, the x and y should be on the same side. You will need to move [tex]-\frac{1}{2}x[/tex] to the other side. When moving a number/variable to the other side, the sign changes, therefore, the negative sign will be removed. It is also the same as adding the opposite of it to both sides.
[tex]y=-\frac{1}{2}x+1\\ y+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x + 1\\y+\frac{1}{2}x=1[/tex]
In standard form, there are no fractions, only whole numbers. The fraction can be removed by multiplying it by its opposite. The opposite of [tex]\frac{1}{2}[/tex] is [tex]\frac{2}{1} \rightarrow 2[/tex].
The entire equation has to be multiplied by 2:
[tex](y+\frac{1}{2}x=1) \times 2 \rightarrow 2y+x=2[/tex]
[tex]x+2y=2[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
The length of a rectangle is 25
inches longer than 3 times its
width. The perimeter of the
rectangle is 130 inches. Find the
length and the width.
What are the coordinates of point B on AC such that the ratio of AB to BC is 5 : 1?
Answer:
1 1/3, 3 1/3
Step-by-step explanation:
Lines can be divided in smaller segments by using ratios
The coordinates of B are: [tex]\mathbf{ (\frac{4}{3},-\frac{10}{3})}[/tex]
The given parameters are:
[tex]\mathbf{A =(-2,5)}[/tex]
[tex]\mathbf{C =(2,-5)}[/tex]
[tex]\mathbf{m : n = 5 : 1}[/tex]
The coordinate of B is calculated using:
[tex]\mathbf{B = \frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n}}[/tex]
So, we have:
[tex]\mathbf{B = \frac{5 \times 2 + 1 \times -2}{5 +1},\frac{5 \times -5 + 1 \times 5}{5 + 1}}[/tex]
[tex]\mathbf{B = (\frac{8}{6},\frac{-20}{6})}[/tex]
Simplify fraction
[tex]\mathbf{B = (\frac{4}{3},-\frac{10}{3})}[/tex]
Hence, the coordinates of B are: [tex]\mathbf{ (\frac{4}{3},-\frac{10}{3})}[/tex]
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Where is -2 3/4 placed on a number line? HURRY
Answer:
between -2 and -3
Step-by-step explanation:
-2 3/4 is another way of saying -2.75 which lies between -3 and -2
Filbert makes $14 per hour. If he makes time and a half for overtime, how much will he make for working 63 hours?
Answer:
$1323.00
Step-by-step explanation:
A simple equation that can be used to figure this out is:
p*1.5*o=t
The variables mean:
p- hourly pay
o- hours worked overtime
t- total amount of money earned.
(Also, the 1.5 is always used to calculate overtime, no matter what job, unless otherwise specified, and as referred in the problem as "time and a half").
So, to finally work out this problem:
($14*1.5)*63=?
first, (14*1.5)= $21
($21*63)= $1323.
The graph shows the relationship between mass of hamster food and the number of days it takes Gabin's hamster to eat it. What does 30 mean in this situation? Choose 1 answer: Choose 1 answer: (Choice A) A Gabin's hamster eats a gram of food every 30 days. (Choice B) B Gabin feeds his hamster once every 30 days. (Choice C) C Gabin's hamster eats 30 grams of food a day.
Answer:
c
Step-by-step explanation:
just gonna say it lol not about to give an explanation
Answer:
C
Step-by-step explanation:
On a graph, which point is on the line of the equation
2x + 3y = 4?
Answer:
4
Step-by-step explanation:
Answer:4
Step-by-step explanation
What is the domain and range of f(x)=2x-5
f(x) is a linear function with no restrictions
Domain: x = All real numbers
Range: y = All real numbers
The Domain : {(−∞,∞), {x/x∈R} and Range : {(−∞,∞), {y/y∈R} of the function f(x)=2x-5
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain and range of f(x)=2x-5
The domain of the expression is all real numbers except where the expression is undefined.
In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
The range is the set of all valid y values.
Domain : {(−∞,∞), {x/x∈R}
Range : {(−∞,∞), {y/y∈R}
Hence, the Domain : {(−∞,∞), {x/x∈R} and Range : {(−∞,∞), {y/y∈R} of the function f(x)=2x-5
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How much warmer is it when the temperature is 17 degrees farenheit then when it is negative 11 degrees
Answer:
6
Step-by-step explanation:
17 - 11 = 6
<hope i helped>
2) 2n - 4
Factor the common factor out of each expression
Answer:
2(n-4)
Step-by-step explanation:
The common factor of this expression is 2 because it can divide into both 2n and 4; therefore, if you divide the entire expression by 2, you'll result in an answer of 2(n-4).
The common factor out of each expression 2(n-4)
Since factorization is the technique of breaking a number into smaller numbers that multiplied together will give that original form.
We are given the expression;
2n - 4
The common factor of this expression is 2
Since it can divide into both 2n and 4;
Therefore, if we divide the entire expression by 2, results in an answer of 2(n-4).
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Please help- I’ll give thanks and brainliest
Answer:
Step-by-step explanation:
WHAT ARE YOU TRYING TO FIND MESSAGE ME PLEASE
What is the The decimal expansion of 2/5
Answer:
I guess its 0.4
Step-by-step explanation:
Divide 2by 5
2x-10+2x-5=3x+1
Find X
Seriously I can't with Algebra
Answer:
x=16
Step-by-step explanation:
Starting equation:
2x-10+2x-5=3x+1
First combine all like terms on the left side
4x-15=3x+1
Now subtract 3x from both sides so that x is only on the left
x-15=1
Finally add 15 to both sides to isolate your variable
x=16
Answer:
x = 16Step-by-step explanation:
2x-10+2x-5=3x+1
Find X
2x - 10 + 2x - 5 = 3x + 1 combine similar terms
2x + 2x - 3x = 10 + 5 + 1 simplify
x = 16
Look at the figure. Which ray is opposite of DE?
Answer:
BA
Step-by-step explanation:
Its exactly opposite of DE.
[tex]100 divided\frac{5}{6}[/tex]
Answer:1/3(9) no problem dawg
Step-by-step explanation:
Kira is solving the equation 3(2x + 5) - (5x - 2) = 42. Her steps are shown below.
Step 1: 6x + 15 - (5x - 2) = 42
Step 2: 6x + 15 - 5x - 2 = 42
Step 3: x + 15 – 2 = 42
Step 4: x + 13 = 42
ď
D) 2.
In which step does a mistake first appear?
D.
CLEAR AL
help ?
Answer:
D)2
the minus sign outside the bracket when multiplied by a negative number in the bracket is equal to a positive number
Answer:
D) 2
Step-by-step explanation:
WILL GIVE BRAINLIEST! Use Vieta’s formulas to find the sum and the product of the roots of the equation: y^2−19=0 y1+y2= ? y1 * y2= ?
Answer:
y1+y2=0; y1*y2 = -19
Step-by-step explanation:
We have y^2-19=0
Let's solve the equation
y^2=19
y=sqrt(19); y= - sqrt(19)
From there you can solve for the answer ;)
