Answer:
4/18
Step-by-step explanation:
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
Fred opened a bank account with $310. He then deposits $55 per week. Stan started his bank account with $650 and withdraws $30 per week. Set up an equation to represent this situation. After how many weeks, w, will their bank accounts have the same amount in them
Answer: 4 weeks
Step-by-step explanation:
what is the solution to this equation? 14 - 3x = 6 - 5x
Answer:
x=-4
Step-by-step explanation:
14-3x = 6-5x
-3x -3x
14 = 6-2x
-6 -6
-2x = 8
x = -4
Hope this helped! :)
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?
Judy scored 45 points in the board game.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
In a board game,
Judy scored 5 points, more than twice the number of points Ann scored.
If Judy scores x points and Ann scores y points,
that means,
x = 2y + 5
x - 2y = 5. {equation 1}
There was a total of 65 points scored.
x + y = 65 {equation 2}
Subtract the equation 2 to equation 1,
we get,
-3y = -60
y = 20
Then, x = 45.
Therefore, 45 points Judy scored.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
Which of the following values are solutions to the inequality
if the class sizes in a school vary from 22 to 30, what is the range?
Answer:
8 im pretty sure
Step-by-step explanation:
HELP! GIVING OUT BRAINIEST AND 10 POINTS!!!
Answer:
i think it's 18
Step-by-step explanation:
no need to
Answer:
x=12
Step-by-step explanation:
If you add HG and GE together, you would get the value for HE. You also get HE if you add HF and FE. Setting HG+GE equal to HF+FE gives us a true equation we can use to solve for x. The math is attached.
(-2,4) ,(3,-6) point slope form
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2
Find the slope plz help help plz
Answer:
-2
Step-by-step explanation:
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
what is the following sum ?
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
Which expression is equivalent to -6(-2/3+2x)
-4-12x
-4+2x
4-12x
4+12x
HELP PLEASE ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line. Enter your answer in simplest form.
Answer:
slope=4
Step-by-step explanation:
m=y2-y1/x2-x1
4-(-4)=8
5-3=2
8/2=4
hope this helps :3
if it did pls mark brainliest
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
PLEASE HELP WILL GIVE 20 POINTS
Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.
Answer:
$150.50
Step-by-step explanation:
I = 450 × 0.05 × 7 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 450.00
at a rate of 5% per year
for 7 years is $ 157.50.
Hellooo :)
The answer is I = $ 157.50
Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.
Answer:
8.9 units
Step-by-step explanation:
sqrt[(x2-x1)^2+(y2-y1)^2]
sqrt[8^2+4^2]
sqrt(80)
8.9 units
(first question btw)
please help i will mark brainliest if correct!
Answer:
(3,9)
Step-by-step explanation:
Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.
(2+1, 5+4)
(3, 9)
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8
find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35
Answer: 20.5
Step-by-step explanation:
subtract 0.05 from each answer until you get 20 terms then add those terms up
Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?
Answer:
Step-by-step explanation:
For club 1 - 2 book
For club 2 - 4 books
Club 1 has a $40 fee + 2 books = $60 in total
Club 2 has a $0 fee + 4 book = $60 in total
I'm pretty sure I'm right
Answer:
There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.
Step-by-step explanation:
1st club. (cost of club) 40$ + (cost of 2 books) 20$ = 60$.
2nd club. (cost of books) 15$ x (how many books) 4 = 60$
please help i will mark brainliest
Answer:
180, i already commented it but like i even looked it up a straight line is 180
Step-by-step explanation:
PLEASE ANSWER ASAP
what is the slope of any line that is parallel to the line y+3=5/7(×+2)?
A. 3
B. 5/7
C. 2
D. -5/7
B) 5/7
^That's the slope :)
what are the angle measures given the figure is a rhombus???
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
two trapezoids-shaped tabletops are congruent to each other trapezoid FGHI =trapezoid WXYZ must be congruent to GH
A. XY
B. WX
C. YZ
D. WZ
Answer: B: WX
Step-by-step explanation:
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
Translate each expression then write the expression in factored form.
Ten times a number subtract from eighteen.
Answer:
I think the is 18-10s
Step-by-step explanation:
hope that helps