Answer:
1.55
Step-by-step explanation:
[tex]2(x + 0.7) = 6(x – 0.8)[/tex]
Using the distributive property of addition over multiplication we get
[tex]2x+1.4=6x-4.8[/tex]
Take the like terms to one side and change their signs accordingly
[tex]1.4+4.8=6x-2x[/tex]
[tex]\Rightarrow 6.2=4x[/tex]
[tex]\Rightarrow x=\dfrac{6.2}{4}[/tex]
[tex]\Rightarrow x=1.55[/tex]
The value of [tex]x[/tex] is 1.55.
In order to make sure this value is correct we can substitute the value of x in the equation
[tex]2(1.55+0.7)=6(1.55-0.8)\\\Rightarrow 2\times 2.25=6\times 0.75\\\Rightarrow 4.5=4.5[/tex]
So, both sides are equal hence the value of [tex]x [/tex]is 1.55.
Sabrina is x years old.
Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?
Answer:
10
Step-by-step explanation:
If Sabrina is 5 & Michael is 7. (5×7=35)
Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).
Answer:
Meghan is 10 years old
Step-by-step explanation:
We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.
We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:
m = 2x
Michael (M) is 3 years younger than Meghan. So we write:
M = m - 3
The product (multiplication) of Sabrina's and Michael's age is 35. So we write:
Mx = 35
To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.
M = 2x - 3
Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:
x(2x - 3) = 35
2x² - 3x = 35
2x² - 3x -35 = 0
(2x - 7)(x - 5) = 0
x = ⁷⁄₂ or 5
we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:
m = 2(5)
m = 10
Given: Angle 1 and Angle 2 are complementary, and Angle 2 and Angle 3 are complementary. Prove: Angle 1 = Angle 3 Statements: Reasons 1. Angle 1 and angle 2 are complementary. 1. Given Angle 2 and angle 3 are complementary. 2. M angle 1 + m angle 2= 90 degrees 2. Definition of complementary m angle 2 + m angle 3= 90 degrees 3. ? 3. ? 4.? 4.? 5.? 5.? 6.? 6.?
Answer:
See Explanation
Step-by-step explanation:
[tex] \because \angle 1 [/tex] and [tex] \angle 2 [/tex] are complementary.
[tex] \therefore m\angle 1+m\angle 2=90\degree... (1)[/tex]
[tex] \because \angle 2 [/tex] and [tex] \angle 3 [/tex] are complementary.
[tex] \therefore m\angle 2+m\angle 3=90\degree... (2)[/tex]
From equations (1) & (2), we find:
[tex] m\angle 1+m\angle 2=m\angle 2+m\angle 3
[/tex]
[tex] m\angle 1+m\angle 2-m\angle 2=m\angle 3
[/tex]
[tex] m\angle 1=m\angle 3[/tex]
Thus proved.
Marco had sales of $28,000. He makes a graduated commission of 4% on the first $10,000, 5% on the next $20,000 and 6% on anything over $30,000. Find his total commission
Answer:
$1,300
Step-by-step explanation:
commission on the first $10,000
= 4/100 * 10000
= $400
remaining amount
= $28,000 - $10,000
= $18,000
commission on remaining $18,000
= 5/100 * 18000
= $900
total commission
= $400 + $900
= $1,300
plz help i will give brainliest
Answer
b
Step-by-step explanation:
yeah
Answer:
ok go on a site called math.way it will really help you
Step-by-step explanation:
I need help on this question
Answer:
25.981 seconds
Step-by-step explanation:
because X represents the magnitutde of falling height substitute 1200 into the original equation and you will find the above answer
Even Odd or Neither.
For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0
Answer:
(-6,2)
Step-by-step explanation:
[tex]f(x)<0[/tex]
We are given [tex]f(x)=x^2+4x-12[/tex].
So we need to solve:
[tex]x^2+4x-12<0[/tex]
First let's find when the expression on the left is 0.
[tex]x^2+4x-12=0[/tex].
The expression on the left is factorable.
Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.
Those numbers are 6 and -2 so the factored form is:
[tex](x+6)(x-2)=0[/tex]
So the solutions can be found be solving the following linear equations:
[tex]x+6=0[/tex] and [tex]x-2=0[/tex].
First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]
Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]
So draw a number line with those on it and test the intervals they divide.
--------(-6)--------(2)----------
So we need to test three intervals.
*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].
Let's plug in x=-8
[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].
[tex]f(-8)=(-8+6)(-8-2)[/tex]
[tex]f(-8)=(-2)(-10)[/tex]
[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.
So we will not include this interval in our answer.
*Plug in a number between -6 and 2 like 0.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(0)=(0+6)(0-2)[/tex]
[tex]f(0)=(6)(-2)[/tex]
[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.
So our solution includes the interval (-6,2).
*Plug in a number after 2 like 5.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(5)=(5+6)(5-2)[/tex]
[tex]f(5)=(11)(3)[/tex]
[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.
The answer only includes the interval (-6,2).
HELPPPPPPPPP ASAPPP!!!!!!!!
Answer:
A is correct
3.75x 1^5 is also written as 375000
Divide 375000 by 75 and u get 5, 000
5 times 10^3 is also 5000
therefore A is correct
Step-by-step explanation:
Answer:
5000 or A. 5 x [tex]10^{3}[/tex]
Step-by-step explanation:
3.75 x [tex]10^{5}[/tex] = 375000
375000/75 = 5000
The sum of two numbers is 36. The larger number is 14 more than the smaller number. What are the numbers?
Answer:
25 and 11
Step-by-step explanation:
because subtract 14 from 36 it will give u 11 so 11 is your smaller number and 25 is your bigger
Hope this helps :)
Answer:
The numbers are 11 and 25.
Step-by-step explanation:
Assign x to the the numbers.
One of the numbers is 14 more than the other.
x + (x+14) = 36
Smaller number = x
Bigger number = x +14
2x + 14 = 36
2x = 22
x = 11 = smaller number
x = 11 + 14 = 25 = bigger number
A 14-ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?
Answer:
0.75 or 3/4
Step-by-step explanation:
10 1/2 teaspoons of sugar ÷ 14 oz energy drink = ?
10.5 teaspoons of sugar ÷ 14 oz energy drink = 0.75 teaspoons of sugar per drink
OR (fraction way):
10 1/2 ÷ 14 = ?
First, Convert any mixed numbers to fractions. Then your initial equation becomes:
21/2 ÷ 14/1 = ?
Apply the fractions formula for division (just flip the second fraction and multiply):
21/2 x 1/14 = 21/28 = 3/4 = 0.75
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
IF ANYBODY GETS THIS RIGHT, I WILL GIVE BRAINLIEST.
If it is 7:05 right now, when will it be in 15 minutes?
Answer:
7:20
Step-by-step explanation:
Its very complex i know
What is the solution of 6d + 6 - 4d = 12 ?
Anahuac was
a.
a Native American tribe living in North Texas.
b.
the site of a small fort that controlled commerce into Mexico.
c.
a battle during the Mexican Revolution for independence from Spain.
d.
the leader of Mexico.
The answer is B
I hope you have a nice day!
Answer:
b
Step-by-step explanation:
took test on edge 2020
Find the coordinates for the verticals of each figure after the given transformation need help ASAP
Answer:
Question 7: The new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question 8: The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
Step-by-step explanation:
Question No 7:
Translation Rule: (x,y) =>
U(-5,1), V(-4,3), W(-3,3), X(-4, 1)
In order to get the new coordinates, we have to add 6 to x-coordinate of vertices subtract 3 from y-coordinates of all vertices. So,
[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]
Hence, the new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question No 8:
W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)
Translation Rule: (x+2,y+2)
In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,
[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]
Hence The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
what is the slope of (4,9)
Answer:
hope it helps..
Step-by-step explanation:
Using the slope-intercept form, the slope is 0 .
what is the highest common factor of 10,18 ,20 and 36
Answer:
2
Step-by-step explanation:
Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF
Hope this helps
The HCF is 2.
What is HCF?
The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.
For example, 2 is the HCF of 4 and 6.
Given numbers:
10,18 ,20 and 36
Now splitting the factors of each number we have
10=2*5
18=2*3*3
20=2*2*5
36=2*2*3*3
Hence, the Highest common factor is 2.
Learn more about HCF here:
https://brainly.com/question/28574719
#SPJ2
Increase 110 by 60%
Answer:
176
Step-by-step explanation:
The point A(-5,6) is reflected over the origin and its image is point B.
What are the coordinates of point B?
Answer:
Answer:
(6,-7)
Step-by-step explanation:
The equation for reflecting an image about the origin is (a,b) to (-a,-b). It means you make x and y their opposites.
Step-by-step explanation:
Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of paint are needed for 1 door.?
Answer:
[tex]1 \dfrac{1}{4} \ liters[/tex]
Step-by-step explanation:
Given that:
Claire uses 2 liters of paint to cover 1 3/5 doors
Then in order for her to paint 1 door, She will need:
2 L = 1 3/5 door
x L = 1 door
[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]
[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]
[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]
[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]
[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]
[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
at buffalo mild wings the price of chicken wings depends on the number of wings that you order plot the ordered pairs from the table
Answer:
No
Step-by-step explanation:
It is not because 8/5 16/8 is not proportional. If it were to be proportional it would be 8/5 and 16/10 NOT 16/8
i need this asap!!!! please! will give brainliest and a thanks to fast answers!
Answer:
2 big
30 small
Step-by-step explanation:
possibility
i will give brainliest if correct
Answer:
-18
Step-by-step explanation:
k ≥ −18
Answer:
The solution is K > -18
_
A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
what is the 3rd equivalent fraction to 2/3
Answer:
What do you mean by third equivilent fraction? One equivalent fraction is 4/6.
Step-by-step explanation:
What is the least common multiple of 17, 20, and 12?
the least common multiple is 1,020 :)
Answer:
Attached above is the answer
The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?
Answer:
B. $0.88
Step-by-step explanation:
x = number of bananas
y = cost of bananas in dollars
Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x
y = 3.52
x = 4
Therefore:
Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].
Nathan is opening a savings account that has 10% streaks simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded internet rate?
Answer:
brah
Step-by-step explanation:
Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten? SHOW YOUR WORK
WILL GIVE BRAINLIST,EXTRA POINTS, AND 5 STARS
Answer:20
Step-by-step explanation:
Because it's not relevant
2.4 *10^2
5.25*10^2
2.53*10^1
1.8*10^3
Order from least to greatest