Answer: -16/3
Step-by-step explanation:
[tex]3(x - 2) + 4x = 10(x + 1)\\3x - 2(3) + 4x = 10x +1(10)\\3x - 6 + 4x = 10x + 10\\7x - 6 = 10x + 10\\7x - 10x = 10 + 6\\-3x = 16\\x = \frac{16}{-3} =-\frac{16}{3}[/tex]
Answer:
-16/3
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Step 1 distribute the 3 to the x and -2
Outcome: 3x - 6 + 4x = 10(x + 1)
Step 2 distribute the 10 to the x and 1
Outcome: 3x - 6 + 4x = 10x + 10
Step 3 combine like terms
Outcome: 7x - 6 = 10x + 10
Step 4 add 6 to both sides
Outcome: 7x = 10x + 16
Step 5 subtract 10x from both sides
Outcome: -3x = 16
Step 6 divide both sides by -3
Outcome: x = -16/3
help please i dont know how to do
Answer:
apples = 160
oranges = 100
Step-by-step explanation:
Let apples be x and oranges be y
so
x = 60+y
now he have
y = x + 20
y-20 = x
(60+y)/2 = y-20
60+y = 2y-40
60+y-2y = -40
or, 60-y = -40
or, 60+40 = y
or, y = 100
so, y = 100
now, x = 60+100
so, x = 160
Answer:
100 oranges
160 apples
Step-by-step explanation:
Initially let x = oranges, so apples = x + 60
He sells 1/2 the apples which is (x + 60)/2, then there are 20 more oranges than apples so x (the oranges) will = the remaining apples (x + 60)/2 plus 20 OR
x = (x + 60)/2 + 20 multiply each term by 2 to get rid of the denominator
2x = (x + 60) + 40
2x - x = 60 + 40
x = 60 + 40 = 100 oranges AND
x + 60 or 160 apples
How do I solve this: 12v + 10v + 14 = 80
Answer:
v = 3
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
12v + 10v + 14 = 80
Step 2: Solve for v
Combine like terms: 22v + 14 = 80[Subtraction Property of Equality] Subtract 14 on both sides: 22v = 66[Division Property of Equality] Divide 22 on both sides: v = 3Name three collinear points.
Answer: l,j,k
Step-by-step explanation:
1. PLEASEE HELP!! Find the slant height of the cone
13 m
11 m
17 m
15 m
4(1-2x)>32
solve for x
Answer:
x < -7/2
Step-by-step explanation:
First, perform the indicated multiplication:
4(1-2x)>32 becomes 4 - 8x > 32.
Next, isolate the -8x term by subtracting 4 from both sides of this inequality:
-8x > 28
Finally, solve for x by dividing both sides by -8. This requires that we reverse the direction of the inequality sign:
x < -28/8, or, after reduction, x < -7/2
Rational number between 1/3 and 1/9
Answer:
2/9
Step-by-step explanation:
LCM of 3 and 9 = 9
[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]
Find $24.75 as a fraction of $70.
Give your answer in its lowest terms.
Answer:
99/280
Step-by-step explanation:
24.75/70
Multiply the top and bottom by 100
2475/7000
Divide the top and bottom by 25
99/280
Answer: $[tex]\frac{9.9}{28}[/tex]
Step-by-step explanation:
[tex]\frac{24.75}{70}[/tex] is the fraction.
First for convenience, let us convert the decimal into a whole number by multiplying both numerator and denominator by 100. This is not necessary and the final answer will be the same but doing this step will make it easier to divide.
{[tex]\frac{24.75 * 100}{70 * 100}[/tex]} = [tex]\frac{2475}{7000}[/tex]
Now, since it is not in its lowest form we need to simplify it.
For ease, we can find the HCF of 2475 and 7000 which is 25 and divide both numerator and denominator with it.
After simplifying, the final answer is [tex]\frac{99}{280}[/tex].
However we need to put back the decimal places.
Final answer is $[tex]\frac{9.9}{28}[/tex]
Write 215 as a product of its prime factor
Answer:
5x43
it can only be divided by 1, 5, and 43.
When 215 is written as a product of its prime factor, the result is 5 × 43.
How to get Prime Factor?To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:
Divide 215 by the smallest prime number, which is 5. We get:
215 ÷ 5 = 43
43 is a prime number, so we stop here.
Now, the prime factorization of 215 is:
215 = 5 × 43
Learn more about prime factor here: https://brainly.com/question/18187355
#SPJ2
How do I solve problems like this? I did it last year, but I don't remember how to do it.
Solve for x:
1/2x + 3 = 7
2x + 3 - 4x - 7 = 11
thanks!!
Answer:
8
Step-by-step explanation:
I do not know the details of the work but if it's a simple "Solve for x" question, you're not quite right.
1/2x+3=7
1/2x= 4
x= 8
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
Hey can anyone help me with this question
Chukwu, Abdul and kunle are to share $142, such that Abdul gets $11.00 less than Chukwu and $7.00 more than Kunle. How much is Chukwu's share?
Answer:
Chukwu's share is of $57.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Chukwu's share is x.
Abdul's share is y.
Kunle's share is z.
Chukwu, Abdul and kunle are to share $142
This means that [tex]x + y + z = 142[/tex]
Abdul gets $11.00 less than Chukwu
This means that:
[tex]y = x - 11[/tex]
$7.00 more than Kunle.
This means that:
[tex]y = z + 7[/tex]
So
[tex]z = y - 7[/tex]
[tex]z = x - 11 - 7[/tex]
[tex]z = x - 18[/tex]
How much is Chukwu's share?
We want to find x, so:
[tex]x + y + z = 142[/tex]
[tex]x + x - 11 + x - 18 = 142[/tex]
[tex]3x - 29 = 142[/tex]
[tex]3x = 171[/tex]
[tex]x = \frac{171}{3}[/tex]
[tex]x = 57[/tex]
Chukwu's share is of $57.
c) Workout using factorization. Show all your working. 9.9²- 0.1²
Answer:
98
Step-by-step explanation:
1) You shulduse the formula x^2-y^2= (x-y)(x+y)
That obvious, that 9.9 is considered as x, and 0.1 as y
2) So 9.9²- 0.1²= (9.9-0.1) * (9.9+0.1)=9.8*10=98
Given that squareroot 9.8 = 3.13 and squareroot 98 = 9.9 , then squareroot 98000=??
How they connected?
Answer:
see your answer in pic
mark me brainlist
Step-by-step explanation:
Do these pairs of values (x and y) represent two quantities that are proportional?
X: 4, 6, 10, 14
Y: 2, 3, 5, 7
Answer:
No
Step-by-step explanation:
In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not). It would not go through (0.0), but would go through (2, 0)
Find the measure of the missing angle. A
Answer:
a = 38
Step-by-step explanation:
The two angles add to 90 degrees
a+52 = 90
a = 90-52
a = 38
Answer:
Below
Step-by-step explanation:
The little box on the angle indicates that it is 90 degrees
All you need to do now to find angle a is to subtract 52 from 90...
90 - 52 = 38 degrees
Hope this helped!
Write the domain and range of the function f(x)=3x+5
Answer:
-1.6
Step-by-step explanation:
0 = 3x + 5
-3x = 5 /÷(-3)
x = -5 ÷ 3
x = -1.6 -5/3
(4.23)(1.6) please multiple
Answer:
The correct answer is 6.768.
Step-by-step explanation:
(4.23)(1.6) = 6.768
Answer:
6.768
Step-by-step explanation:
(4,23)(1.6)=6.768
what is (-5x-3y) - (-x-3z)
Answer:
-4x-3y+3z
Step-by-step explanation:
(-5x-3y)-(-x-3z)
-5x+x-3y+3z
-4x-3y+3z
Simplify. 2/ 28 thx :))
Answer:
1/14
Step-by-step explanation:
2/28÷2=1/14
PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS
Answer:
2 cups
Step-by-step explanation:
It would be 1/2 times 4, which would be 2 cups of lime juice.Hi guys. Please help me here. The math problem is kinda tricky.
Thank you to anyone who tried:)
Answer:
12jjmhhxkuyrgtjwkso9xbhvsiy5xbgueyr3gskzhxo
4. Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple
juice for every 4 cups of ginger ale. If she uses 16 cups of ginger ale, how much pineapple juice will she
need?
The perimeter of a rectangular park is 300 feet. The length of the park is 10 feet longer than the width.
Find the length of the park.
What is the length of the park?
feet=?
Answer:
80 ft
Step-by-step explanation:
width = w
length = w+10
Perimeter of a rectangle
P = 2(l+w)
300 = 2(w+10+w)
300 = 2(2w+10)
Divide by 2
300/2 = 2/2(2w+10)
150 = 2w+10
Subtract 10
150-10 = 2w+10-10
140 = 2w
Divide by 2
140/2 = 2w/2
70 = w
l = w+10
l = 70+10
w = 80
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
The function f(x) is graphed below. What is the value of f(-2)?
Answer:
f(-2) = 4
Step-by-step explanation:
Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.
what is the predecessor of -36
Answer:
-35
Step-by-step explanation
A predecessor is something that came before the current version, and -36 is negative so before -36 is -35
Answer:
the correct answer is -34
Step-by-step explanation:
A predecessor is something that came before the current version.
hope it helps you
3y-4(5x-3y+y²) expand and simplify
Answer:
23x + 12y + -4xy^2
Step-by-step explanation:
So lets first expand
3y (-4 x(5x - 3y + y^2)
let's ignore 3y for now
Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.
note: Capital X = Multiplying symbol
___________________________________
-4 X 5x, -4 X - 3y, -4 X y^2
= -20x + 12y + -4xy^2
now we bring back the 3x
3x - -20x + 12y + -4xy^2
so now we simplify, by finding like terms
= 23x + 12y + -4xy^2
What is the behavior of the graph y=2x3+x2−7x−6 at each of its zeros
At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.
The given polynomial expression:
y = 2x³ + x² - 7x - 6
The zeros of a polynomial equation are the values of x at which the given function equals zero.
The first zero of the given function is at x = 2;
f(2) = 2(2)³ + (2)² - 7(2) - 6
= 16 + 4 - 14 - 6
= 20 - 20 = 0
The second zero of the given function is at x = -1;
f(-1) = 2(-1)³ + (-1)² - 7(-1) - 6
= -2 + 1 + 7 - 6
= - 8 + 8 = 0
The third zero of the given function is at x = -1.5;
f(-1.5) = 2(-1.5)³ + (-1.5)² - 7(-1.5) - 6
= - 6.75 + 2.25 + 10.5 - 6
= - 12.75 + 12.75 = 0
The zeros of the given function include;
----(-1.5)-------(-1)------------------------------(2)--------
Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.
To learn more about zeros of a function, please visit: https://brainly.com/question/12316127