Answer:
x=120
[tex]7.5 = 5 \\ x = 80 \\ \frac{5x}{5} = \frac{600}{5} \\ x = 120[/tex]
A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?
Answer:
tsp of red food coloring = 25
Step-by-step explanation:
Red food coloring = 5 tsp
Blue food coloring = 3 tsp
Red food coloring : Blue food coloring = 5 tsp : 3 tsp
Blue food coloring = 15 tsp
how many tsp of red food coloring would you use to get the same recipe of frosting ?
Let
x = tsp of red food coloring
Red food coloring : Blue food coloring = x tsp : 15 tsp
Equate the ratios to find x
Red food coloring : Blue food coloring
5 tsp : 3 tsp = x tsp : 15 tsp
5 / 3 = x / 15
Cross product
5 * 15 = 3 * x
75 = 3x
Divide both sides by 3
x = 75 / 3
= 25
x = 25 tsp
tsp of red food coloring = 25
Evaluate 4 - (2.5+7.82)
PLEASE HELP ASAP 15 POINTS
Answer:
Reflexive property
Step-by-step explanation:
Reflexive property is when the value equals its self and they just commuted the letters.
Hope I explained it well I am bad at explaining things lol
A 11-inch board is cut into 6 equal length pieces. How long is each piece?
Answer:
1.8inches or 1.83in repeating.
Step-by-step explanation:
divide 11 by 6. you get the decimal 1.83333333. you can either round to 1.8 or do 1.83 with a repeating symbol over the three (small dash above the number).
−2x=x^2−6
1) Rewrite the equation by completing the square.
equation should look like (x+c)^2=d or (x-c)^2=6
Step-by-step explanation:
Example 1
Solve the equation x3 − 3x2 – 2x + 4 = 0
We put the numbers that are factors of 4 into the equation to see if any of them are correct.
f(1) = 13 − 3×12 – 2×1 + 4 = 0 1 is a solution
f(−1) = (−1)3 − 3×(−1)2 – 2×(−1) + 4 = 2
f(2) = 23 − 3×22 – 2×2 + 4 = −4
f(−2) = (−2)3 − 3×(−2)2 – 2×(−2) + 4 = −12
f(4) = 43 − 3×42 – 2×4 + 4 = 12
f(−4) = (−4)3 − 3×(−4)2 – 2×(−4) + 4 = −100
The only integer solution is x = 1. When we have found one solution we don’t really need to test any other numbers because we can now solve the equation by dividing by (x − 1) and trying to solve the quadratic we get from the division.
Now we can factorise our expression as follows:
x3 − 3x2 – 2x + 4 = (x − 1)(x2 − 2x − 4) = 0
It now remains for us to solve the quadratic equation.
x2 − 2x − 4 = 0
We use the formula for quadratics with a = 1, b = −2 and c = −4.
We have now found all three solutions of the equation x3 − 3x2 – 2x + 4 = 0. They are: eftirfarandi:
x = 1
x = 1 + Ö5
x = 1 − Ö5
Example 2
We can easily use the same method to solve a fourth degree equation or equations of a still higher degree. Solve the equation f(x) = x4 − x3 − 5x2 + 3x + 2 = 0.
First we find the integer factors of the constant term, 2. The integer factors of 2 are ±1 and ±2.
f(1) = 14 − 13 − 5×12 + 3×1 + 2 = 0 1 is a solution
f(−1) = (−1)4 − (−1)3 − 5×(−1)2 + 3×(−1) + 2 = −4
f(2) = 24 − 23 − 5×22 + 3×2 + 2 = −4
f(−2) = (−2)4 − (−2)3 − 5×(−2)2 + 3×(−2) + 2 = 0 we have found a second solution.
The two solutions we have found 1 and −2 mean that we can divide by x − 1 and x + 2 and there will be no remainder. We’ll do this in two steps.
First divide by x + 2
Now divide the resulting cubic factor by x − 1.
We have now factorised
f(x) = x4 − x3 − 5x2 + 3x + 2 into
f(x) = (x + 2)(x − 1)(x2 − 2x − 1) and it only remains to solve the quadratic equation
x2 − 2x − 1 = 0. We use the formula with a = 1, b = −2 and c = −1.
Now we have found a total of four solutions. They are:
x = 1
x = −2
x = 1 +
x = 1 −
Sometimes we can solve a third degree equation by bracketing the terms two by two and finding a factor that they have in common.
Step-by-step explanation:
mark up as brainliest
Commutative law under addition says- p + q = q + p. Commutative law under multiplication says p x q = q x p. Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.0
7 times a number plus 3 times the same number is -50. What is the number?
Answer:
n= -5
Step-by-step explanation:
7n+3n= -50
solve 10n=-50 n= -5
find the slope and y- int 6x + - 2y=18
Answer:
Slope: [tex]\frac{3}{1}[/tex]
Y-int: 9
Step-by-step explanation:
[tex]6x + -2y = 18[/tex]
-6x -6x
-2y = -6x + 18
----- ------------
-2 -2
y = 3x + 9
4. Use the following expression to answer the questions: t ^ 2 - 3t + 4 . How many terms are in this expression? What variable is used in this expression? What is the constant term in this expression?
Answer:
3 terms
t is the variable
4 is the constant
pls help due in an hour !
Answer:
Reflection of house that types of symmetry ate created from the above photo.
If 3 kilograms of flour costs $4.86 What is the cost of 1 kilogram of flour?
Plzz I need help!!!!! I will give brainiest you show me how
Divide the cost of 3 kg by 3kg to get the cost of 1 kg:
4.86 / 3 = 1.62
It cost $1.62 for 1 kg.
Answer:
brains zombies chicken nuggets
Step-by-step explanation:
Equation C: y = 6x + 9
Equation D: y = 6x + 2
Which of the following options is true about the solution to the given set of equations? (4 points)
Oa
One solution
Ob
No solution
c
Two solutions
Infinite solutions
9514 1404 393
Answer:
b. No solution
Step-by-step explanation:
If you subtract the second equation from the first, you get ...
0 = 7
No value of the variable will make this be true. There is NO SOLUTION.
how do you solve 6-9(4p-3)= 2(6p+7)+3
Answer:
p= 1/3
=0.333
Step-by-step explanation:
Simplifying
6 + -9(4p + -3) = 2(6p + 7) + 3
Reorder the terms:
6 + -9(-3 + 4p) = 2(6p + 7) + 3
6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3
6 + (27 + -36p) = 2(6p + 7) + 3
Combine like terms: 6 + 27 = 33
33 + -36p = 2(6p + 7) + 3
Reorder the terms:
33 + -36p = 2(7 + 6p) + 3
33 + -36p = (7 * 2 + 6p * 2) + 3
33 + -36p = (14 + 12p) + 3
Reorder the terms:
33 + -36p = 14 + 3 + 12p
Combine like terms: 14 + 3 = 17
33 + -36p = 17 + 12p
Solving
33 + -36p = 17 + 12p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-12p' to each side of the equation.
33 + -36p + -12p = 17 + 12p + -12p
Combine like terms: -36p + -12p = -48p
33 + -48p = 17 + 12p + -12p
Combine like terms: 12p + -12p = 0
33 + -48p = 17 + 0
33 + -48p = 17
Add '-33' to each side of the equation.
33 + -33 + -48p = 17 + -33
Combine like terms: 33 + -33 = 0
0 + -48p = 17 + -33
-48p = 17 + -33
Combine like terms: 17 + -33 = -16
-48p = -16
Divide each side by '-48'.
p = 0.3333333333
Simplifying
p = 0.3333333333
What is the decimal multiplier to increase by 2%
Find the slope:
(-7, 4), (13, 4)
O 20
O Zero
O Undefined
Answer:
Zero
Step-by-step explanation:
it is to correct answer because I did this before and one of my classes also subscribe to my channel bye
Use long division to divide and use the results to factor the dividend completely (X3 - 4X2 -17X + 6) divided by (X-3) The X3 and X2 are supposed to be exponents
Answer:
x^2 -1x-20 +((-54)/(x-3))
Step-by-step explanation:
Let's do long division. I've uploaded the file for the work.
Explain how adding -3/10 + 4/10 is like adding -3 + 4
Answer:
is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.
Step-by-step explanation:
don´t forget to brainllest!:)
Santiago is looking over his credit card statements from the past couple of months. The
balance was $95 last month, and 40% more this month. What is the balance on the card this
month?
Answer:
133
Step-by-step explanation:
40 percent more than is 133
what is $4.89 x $6.3
Answer:
30.807
Step-by-step explanation:
$4.89 x $6.3= 30.807
Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)
Rearrange the equation so m is the independent variable.
-2m-5n=7m-3n
Answer:
-2m -5n = 7m - 3n
<=> -5n + 3n = 7m + 2m
<=> -2n = 9m
<=> m = [tex]\frac{-2}{9}n[/tex]
Step-by-step explanation:
Answer:
n = -9/2m
Step-by-step explanation:
I got this answer from Khan Academy.
Hope this helps! :)
Peter's teacher says he may have his report card percentage based on either the mean or the median and he can
drop one test score if he chooses.
84%, 71%, 64%, 90%, 75%, 44%, 98%
Which measure of center should Peter choose so he can have the highest percentage possible?
O Peter should choose the mean after dropping one test score.
Peter should choose the mean without dropping one test score.
O Peter should choose the median after dropping one test score.
O Peter should choose the median without dropping one test score.
t would be best if Peter's report card percentage was based on the mean and if he could drop a percent, he should drop the 44%.
Step-by-step explanation:
The median (without dropping a score) of this set would be 75%
( 44%, 64%, 71%, 75%, 84%, 90%, 98% )
The mean (without dropping a score) of this set would be 75.1428571%
526 ÷ 7 = 75.14 ( 75.1428571 )
Answer:
A. Peter should choose the mean after dropping one test score.
Step-by-step explanation:
What does 100% increase mean
An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled. An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).
Which of the following is part of the solution to the trigonometric inequality img included over the interval img included radians?
Answer:
C: pi/4<x<5pi/4
Step-by-step explanation:
I just did the test
The solution of the trigonometric inequality will be equal to π / 4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,
3 - tanx ≥ 4 - 2tanx
2tanx - tanx ≥ 4 - 3
tanx ≥ 1
tanx ≥ tan(π/4)
x ≥ (π/4)
Therefore, the solution of the trigonometric inequality will be equal to π / 4.
To know more about trigonometry follow
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Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560
Answer:
c
Step-by-step explanation:
Given that:
Cost of balcony seat = $83
Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8
Number of tickets for floor seat = f
Number of tickets for balcony seat = b
Total amount to spend should not exceed $560;
[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560
83b + 49.8f ≤ 560
The closest from the options given is :
83b + 49.8 < 560
Just answer correctly to get brainleist and 10 pts! :)
Answer:
A
Step-by-step explanation:
I think this Information is correct:
The relation is a function if each value of x has ONLY one value of y.
Ex: The set {(3, 5) , (-2, 1) , (4, 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3
The set {(4, 5) , (-2, 1) , (4, 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3
A. Multiple values of X, 1 value of Y.
B. 1 value of X, 1 Value of Y.
C. 2 values of X, no values of Y.
D. No values of X, 4 values of Y.
All of the following are equivalent EXCEPT x < 2 x - 2 < 4 2x < -4 x - 2 < -4
Answer:
solution
x<2,2x<-4,x-2<-4 are equvalent
but x-2<4 is not
What is the slope and y-intercept of the graph? (write your answer in simplest form)
Slope:
y-intercept:
English
Answer:
Slope: 1/2.5
Y-intercept: -1
Step-by-step explanation:
Which graph is the solution of the following systems
HELP ON ON GRADPOINT
whose method can be used to verify the distributive property was correctly applied expression
A. zoes method
B.latoyas method
C. christinas method
D. Rhodas method
What is 3z + 2 when z = 2?
The value of the given equation is 8.
Given that,
The value of z = 2.calculation is as follows:= 3z + 2
= 3(2) + 2
= 6 + 2
= 8
Find out more information about the equation here:https://brainly.com/question/2263981?referrer=searchResults
Given:
3z + 2 and z = 2
To find:
value=?
Solution:
Therefore,
[tex]\to 3z + 2 \\\\\because \\\\\to z = 2\\[/tex]
putting the value of z into the above-given equation then:
[tex]\to 3(2)+2\\\\\to 6+2\\\\\to 8[/tex]
The final answer is "8".
Find out more information about solving here:
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