Answer:
Step-by-step explanation:
When it's clear, the easiest way to do the problem is to used the x and y intercepts.
This question is one of the clear one.
The x intercept is 2,0
The y intercept is 0,1
You want the slope.
m = (y2 - y1)/(x2 - x1)
y2 = 1
y1 = 0
x2 = 0
x1 = 2
m = (1 - 0)/(0 - 2)
m = 1 / -2
m = -1/2
In this case the slope and gradient have the same value -- - 1/2 or - 0.5
A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?
The cook needs to add 21.3 ounces of water to obtain the concentration
The cook has 32 ounces of 5% apple cider vinegar.
The total apple cider vinegar the cook has is:
[tex]Total = 32 \times 5\%[/tex]
[tex]Total = 1.6[/tex]
Let the quantity of water be x.
To dilute 3% apple cider vinegar, the cook would make use of the following equation
[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]
So, we have:
[tex]Total = 3\%\times (32 + x)[/tex]
Substitute 1.6 for total
[tex]1.6= 3\%\times (32 + x)[/tex]
Divide both sides by 3%
[tex]53.3=32 + x[/tex]
Subtract 32 from both sides
[tex]53.3-32= x[/tex]
[tex]21.3= x[/tex]
Rewrite as:
[tex]x = 21.3[/tex]
Hence, the cook needs to add 21.3 ounces of water
Read more about concentration at:
https://brainly.com/question/25833493
If a rectangle has a base of 6' and a height of 4' its area would be what?
A= bxh
A= 6'x4'
A= 24 sq.ft.
evaluate the following expression . 2*[4+(12+16)/7
Answer:
16
Step-by-step explanation:
[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]
What is the solution to the system of equations
Answer:
x = 5
y = -4
Step-by-step explanation:
What is the slope please help you’ll be marked brainliest TYSMMMMMM
Step-by-step explanation:
the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.
I think I can recognize two good points with integer coordinates :
(-30, -90) and (70, 70)
x changes by +100 (from -30 to 70)
y changes by +160 (from -90 to 70)
the slope is then +160/+100 = 16/10 = 8/5
please help ill mark brainliesta
Answer: Neither
Step-by-step explanation:
y = -5/4 x + 3/4
y = 5/4 x + 3/4
Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular
Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L
Answer:
120
Step-by-step explanation:
24 + 96 = 120
Hope this helps!
what is y=2x+3 y=−3x+3
Step-by-step explanation:
equate the two equations
How would I solve this algebra question? Step by step
An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?
Answer: Give me the table and ill answer..
Step-by-step explanation:
Help me please, thank you very much.
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.
Answer:
inequality form: x<-7 or x> 17
Step-by-step explanation:
Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...
Answer:
177146
Step-by-step explanation:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098
what is (3×100)+(1×110)+(4×11,000) in decimal form
3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.
The standard deviation of the grade points average of the college seniors is 0.57.
The given parameters:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9
The sum of the given data is calculated as follows;
∑x = 3.2 + 1.9 + 2.7 + 2.4 + 2.8 + 2.9 + 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9
∑x = 53.3
The mean of the distribution is calculated as follows;
[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]
The square of the difference between the grade point and the mean;
[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]
The standard deviation of the grade points is calculated as follows;
[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]
Thus, the standard deviation of the grade points average of the college seniors is 0.57.
Learn more about standard deviation here: https://brainly.com/question/12402189
A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answer:
A ball is thrown vertically upward with a speed of 25.0 m/s
Graph the solution set to this inequality. -2x+9_> 5x-12
x ≤ 3 (closed dot going to the left)
what is the value of x?
Answer:
132
Step-by-step explanation:
corresponding angles are the same
please help me! i will go ahead and give brainliest!
Answer:
[tex]6w - 60[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]6(w - 10)[/tex]
[tex](6*w) + (6*(-10))[/tex]
[tex]6w + (-60)[/tex]
[tex]6w - 60[/tex]
Answer: [tex]6w - 60[/tex]
In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000
Answer:
650 * (1.01)ˣ = P(x)
Step-by-step explanation:
One formula for exponential growth is
a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have
650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have
750/650 = b¹⁰
(750/650)^(1/10) = b
= 1.01441296377 (can round this to 1.01)
Therefore, after x years, the moose population can be represented by the equation
650 * (1.01)ˣ
Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she
receives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with no
overtime, what is her regular weekly pay?
$882
$2.94
$588
$294
Answer:
I’m pretty sure it’s 588
Step-by-step explanation:
14.70 * 40 = 588
Find the equation of a line whose slope is 6 and passing through (3 , 3 ).
Answer:
y=6x-15
Step-by-step explanation:
y-y1=m(x-x1)
y-3=6(x-3)
y-3=6x-18
y=6x-18+3
y=6x-15
Help please
i will give brainliest
Answer:
1.69
Step-by-step explanation:
The diagonals of a rectangle are always
Answer:
The diagonals of a rectangle are always congruent
Answer:
Step-by-step explanation:
Diagonals of a rectangle are always congruent.
A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? (5 points)
1.5x + y = 12
x = 9y
x + 1.5y = 12
x + y = 9
x + 9y = 12
x = 1.5y
9x + y = 12
x = 1.5y
Answer:
9 = x + y
1x + 1.5y = 12
Step-by-step explanation:
9 (number of items) = x (number of pencils) + y (number of pens)
1x (cost of x number of pencils) + 1.5y (cost of y number of pen s)= 12 (total cost)
16/48 times 6/8 solve it out for me please
Answer:
0.25
Step-by-step explanation:
You, can just use a calculator But Np
Good luck
Answer: 1/4
Step-by-step explanation:
16 6 96
_ X _ = _ = simplies down to 1/4
48 8 384
3) A Jewelry artist charges $7.00 for each pair of earrings she sells. in 3 hours, she sells 15 pairs of
earrings. At that rate, how much money could she earn from selling earrings for 5 hours?
Answer: $175
Step-by-step explanation:
$7.00 x 15 = $105.00
$105.00 / 3 hours = $35/hr.
$35 x 5 = $175
what are the measurements of 1 and 2?
Answer:
8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces
Standard form question
Answer:
1.64×10^7 km
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse of this right triangle.
QR² = PQ² +PR²
Expressing the given distances as multiples of 10^7 km, we have ...
QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896
QR = √2.6896 = 1.64
The shortest distance between planets Q and R is 1.64×10^7 km.
Solveee
8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4
118 - 65x - 123 = 5x + 35 - 20x
Answer:
1)[tex]x = 3[/tex]
2) [tex]x = - \frac{4}{5} [/tex]Step-by-step explanation:
To know the solution with Proof .Refer To the above attachments .Hope this helps you !!Answer:
Step-by-step explanation:
distribute the 8,17,and 4 throughout the parentheses to get
8x-8+17x-51=16x-36+4
combine like terms
25x-59=16x-32
subtract 16x from both sides and add 59 to both sides to get
9x=27
divide both by 9
x=3