Answer:
The mass of sunflower seeds in the mixture is 1-pound
The mass of chocolate-covered peanuts in the mixture is 3-pounds
The mass of raisins in the mixture is 2-pounds
Step-by-step explanation:
The given parameters are;
The cost per pound of raisins = $3
The cost per pound of sunflower seeds = $1
The cost per pound of chocolate-covered peanuts = $1.50
The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture
The total cost of the mixture = $11.50
The mass of the mixture = 6-pounds
Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;
The mass of raisins in the mixture = 2 × x
The system of equation are;
2·x + x + y = 6...(1)
2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)
Simplifying the above two equations give;
For equation (1), we have;
3·x + y = 6...(1)
For equation (2), we have;
7·x + 1.5·y = 11.50...(2)
Making y the subject of both formulas, gives;
For equation (1), we have;
y = 6 - 3·x
For equation (2), we have;
y = 11.50/1.5 - 7/1.5·x
Equating both equations of y, to find the common solution as follows;
6 - 3·x = 11.50/1.5 - 7/1.5·x
7/1.5·x - 3·x = 11.50/1.5 - 6
14/3·x - 3·x = 23/3 - 6
5/3·x = 5/3
x = 3/5 × 5/3 = 1
x = 1
The mass of sunflower seeds in the mixture = x = 1-pound
y = 6 - 3·x = 6 - 3 × 1 = 3
y = 3
-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds
The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.
2. Mary's test average after 8 tests is 80. Her score on the
9th test was 71. If all 9 tests are weighted equally, what
is Mary's test average for all 9 tests?
A. 71
B. 75.5
C. 77
D. 79
E. 80
Answer:
D
Step-by-step explanation:
since her test average for the first 8 tests is 80, the sum of all the scores for the first 8 tests is 640. Since her 9th test is 71, we do 640+71=711. To find the average of all 9 tests, we do 711/9 = 79
D
how is a line different than a line segment
Answer:
A line segment has two ends, and a line doesn't end.
Step-by-step explanation:
please answer asap
Enter your answer as fraction in simplest form by filling in the boxes
Answer:
1/2
Step-by-step explanation:
Δ WILL GIVE BRAINLIEST Δ
Write down 2-3 quotes to show gratitude to teachers to give an extra boost of energy and joy to the teachers and staff during this hard times.
Answer:
1. the best teacher
teach from the heart ❤️
not from the book
2. a good education can change anyone.
a good teacher can change everything.
3.teaching is a work of a Heart
The diagram shows a triangle.
y+12°
2y–18°
2y+16°
What is the value of y?
y =
°
Answer:
34°Step-by-step explanation:
I'm a little confused by your question. But I solved the question this way.
y+12+2y-18+2y+16=180
Why 180° you ask? Because the angle sum interior of a triangle always measures 180°.
(y+2y+2y)+(12+−18+16)=180
5y+10=180
Subtract
5y+10−10=180−10
5y=170
divide
5y/5=170/5
y=34
what is 8.275 rounded to the nearest hundredth.
Answer:
8.28
Step-by-step explanation:
since you have 5, you would round up 1 so 8.
You’re welcome :)
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally
Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4
[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]
7C = 4A
[tex]C = \dfrac{4A}{7}[/tex] --- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41
[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]
25(C + 68) = 41A
C + 68 = [tex]\dfrac{41}{25}A[/tex]
[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)
Equating (1) and (2) together;
[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]
[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]
[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]
[tex]\dfrac{-187A}{175} = -68[/tex]
- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From; [tex]C = \dfrac{4A}{7}[/tex]
[tex]C = \dfrac{4*64}{7}[/tex]
C = 36.57
C ≅ 37 beads
A family wants to purchase a house that costs $145,000. They plan to take out a $115,000 mortgage on the house and put $30,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $785.99 and with a 30-year mortgage their monthly payment would be $521.41. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. How much would they save if they selected the 15-year mortgage?
Answer:
A. 15-year mortgage =$141,478.20
30-year mortgage =$187,707.60
B. $46,229.40
Step-by-step explanation:
A. Calculation to Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
Calculation for 15-year mortgage
Cost amount to save for 15-year mortgage=$785.99*15-year*12 months
Cost amount to save for 15-year mortgage =$141,478.20
Calculation for 30-year mortgage
Cost amount to save for 30-year mortgage =$521.41*30-year*12 months
Cost amount to save for 30-year mortgage =$187,707.60
B. Calculation for How much would they save if they selected the 15-year mortgage
Using this formula
Amount to save=30-year mortgage -15-year mortgage
Let plug in the formula
Amount to save=$187,707.60-$141,478.20
Amount to save=$46,229.40
Therefore How much would they save if they selected the 15-year mortgage will be $46,229.40
Weights of different materials were taken for three lengths: 6 inches, 12 inches, and 18 inches. Which of the materials' weights does NOT have a proportional relationship with length?
The question is incomplete, the complete question is shown in the image attached.
Answer:
Material 1
Step-by-step explanation:
Given the table shown in the complete question, we can see that the weights in material 1 does not have a proportional relationship with length.
If something has a proportional relationship, then it increases or decreases by a constant value called the constant of proportionality. This is not the case in material 1 as seen from the table.
Answer:
material 1
Step-by-step explanation:
Find the equation of the line that passes through points a and b.
Please help.
Answer:
y=2x-1
Step-by-step explanation:
Gradient : (7-3) / (4-2) = 2
y=2x+c
substitute one of the points
3=2*2+c
c=-1
y=2x-1
I NEED HELP ASAP I WILL MARK BRAINLIST
Answer:
The answer is A
Step-by-step explanation:
B was the closest but it's A
CAN SOMEONE HELP WITTH THESEEEEEEE?!?!?! PLS PLSSSSSSS
USE PYTHAGOREAN THEOREMMMMM!!!!!
Answer:
42
Step-by-step explanation:
[tex]41^{2}[/tex] + [tex]9^{2}[/tex] = [tex]c^{2}[/tex]
So, what's 41 to the power 2?
Thus;
1,681
Do the same for the other one.
9 to the power of 2
Thus;
81
Add all these up all your final answer to get a total of 1,762.
1681+81=1762
Thus;
[tex]c^{2} = 1762[/tex]
Then square root your final answer
[tex]\sqrt[]{1762}[/tex]=[tex]c^{2}[/tex]
Thus;
42= [tex]c^{2}[/tex]
help meh plz I just need answer question in pic
Answer:
A
Step-by-step explanation:
At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.
Now fill in x=-2 in both remaining answers and see what happens.
For A: y = -2(-2 - 1)² + 3 = -15
For B: y = (-2 - 1)² + 3 = 12
That eliminates B and leaves A.
4x/3+3=x-2
value of x ?
Answer:
x = - 15
Step-by-step explanation:
Given
[tex]\frac{4x}{3}[/tex] + 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
Step-by-step explanation:
find the LCM of 3 and 1 which is 3
then you have
4x/3 +3/1 =4x+9/3
now equate the above with x-2
4x+9/3=x-2
Cross multiply
3(x-2)=1(4x+9)
3x-6=4x+9
3x-4x=9+6
-x=15
x = -15
pls guys need help...i have test tomorrow
Answer:
18x
Step-by-step explanation:
3x^2 - 27 = -18x
x^2 - 3x = -1x
-18x / -1x = 18x
3x^2 = 9
x^2 = 2x
for f(x) = -8x +8, find f(-3)
Answer:
f(x)=-8x+8
f(-3)
ANSWER: 11/8
8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the Earth is 3, 960 miles. How far will the satellite travel in one day?
Answer:
Displacement = 0 mi
Distance = 164,996.45 mi
Step-by-step explanation:
In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.
When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.
The perimeter of a circle is given by the equation:
[tex]p=2\pi r[/tex]
so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:
[tex]r=r_{earth}+h[/tex]
where h is the height of the satellite, so the radius of the circle is:
[tex]r=22,300mi + 3,960 mi[/tex]
so
r=26,260 mi
so now we can use the perimeter equation to get:
[tex]p=2\pi r[/tex]
[tex]p=2\pi (26,260)[/tex]
So the distance traveled by the satellite in one day will be:
P=164,996.45 mi.
Researchers wanted to assess the effect of low alcohol consumption on reaction time in seniors, believing that even low levels of alcohol consumption can impair the ability to walk, thereby increasing the likelihood of falling. They identified 13 healthy seniors who were not heavy consumers of alcohol. The experiment took place in late afternoon. Each subject was instructed to have a light lunch and to not drink any caffeinated drinks in the 4 hours prior to arriving at the lab. The seniors were instructed to walk on a treadmill on which an obstacle would appear randomly. The reaction time was measured by determining the time it took the senior to lift his or her foot upon the appearance of the obstacle. First, each senior walked the treadmill after consuming a drink consisting of water mixed with orange juice with the scent and taste of vodka. The senior was then asked to drink two additional drinks (40% vodka mixed with orange juice). The senior then walked on the treadmill again. The average response time increased by 19 milliseconds after the alcohol treatment. The researchers concluded that response times are significantly delayed even for low levels of alcohol consumption.
A) What type of experimental design is this?
B) What is the response variable in this experiment? Is it quantitative or qualitative?
C) What is the treatment?
D) What factors were controlled and set at a fixed level in this experiment?
E) Can you think of any factors that may affect reaction to alcohol that were not cont rolled?
F) Why do you think the researchers used a drink that had the scent and taste of vodka to serve as the treatment for a baseline measure?
G) What was the conclusion of the study? To whom does this conclusion apply?
Answer:
See explanation
Step-by-step explanation:
The matched pair experimental design was used here. In this type of design, the experimental units are paired up . Different individuals receive different treatments. A popular type of matched-pairs design is this; a response variable's effect on an experimental unit is measured before and after a treatment is applied.
Reaction time is the response variable here . It is quantitative because it can be counted or measured.
The treatment was water mixed with orange juice with the scent and taste of vodka and subsequently 40% vodka mixed with orange juice.
Food consumption and intake of caffeinated drinks were controlled and set at a fixed level in this experiment.
Age ,gender and weight may also affect the reaction of the seniors to alcohol .
This treatment served the purpose of a placebo thereby working as a control that helps us to establish a baseline treatment that can be used to compare with the results of other treatments .
The research conclusion is that response times are significantly delayed even for low levels of alcohol consumption in seniors .This conclusion can only be applied to healthy seniors that consume a low level of alcohol.
Jack is buying threats for how cats. He wants to buy some greens, which cost $4.95 a bag. He also wants to buy beef bites, which cost $3.50 a bag. White an equation that models treats purchased by Jack when he spends $21.85
Find the endpoint:
The midpoint of CD is M = (-3, -6), one endpoint is C = (-1, -4). Find the other endpoint, D
Answer:
The coordinates of Point D are: (-5,-8)
Step-by-step explanation:
The formula for mid-point is given by:
[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
For the point (x1,y1) and (x2,y2)
Given that
M = (-3, -6)
C = (-1, -4) => (x1,y1)
Putting the values of given points in the formula for mid-point
[tex](-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})[/tex]
Putting respective coordinates equal
[tex]-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8[/tex]
Hence,
The coordinates of Point D are: (-5,-8)
Find the unit rate. $30 for 2 1/2 hours of work
Answer:
12$ an hour.
Step-by-step explanation:
Simply set it up as fraction in a way set it as 30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.
There are 300 students in Emma’s school. If 42% of the students participate in the fundraising program, how many students participate in the fundraising program?
Answer:
126
Step-by-step explanation:
42% of 100 in 42
100x3=300 soooo
42x3=126
On derwin farm there is a total of 50 chickens and cows. If there are 118 legs, how many chickens are there?
Answer:
20cows and 29 chickens
Step-by-step explanation:
find the area please!
Answer: the area is 224
Step-by-step explanation:
Possible answers:1/3,1/2,2,3
Answer:
1/2
Step-by-step explanation:
The college student who is looking for a data plan for her cell phone found a third option,
which also offers a 2 gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function C, defined by:
30x + 3 where x is the gigabytes of data used over the monthly allowance.
1. Find C (0.7) and explain what it means in this situation.
Answer:
Value of C(0.7) = 24 means that the cost of 0.7 gigabytes of data is $24
Step-by-step explanation:
We are told the monthly cost of the 2 gigabyte monthly allowance for data is;
C(x) = 30x + 3
where x is the gigabytes of data used over the monthly allowance
Now, we want to find C(0.7)
C(0.7) = 30(0.7) + 3
C(0.7) = 21 + 3
C(0.7) = 24
This value of C(0.7) = 24 means that the cost of 0.7 gigabytes is $24
Norma deposited $50 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 3 years
Answer:
$66.55
or $66.60
Step-by-step explanation:
what is the diameter of a cone if the volume is 134 and the height is 8
Answer:
times it
Step-by-step explanation:
Help!!Find the y-intercept of the line on the graph.
Enter the correct answer.
The y-intercept of the graph is -3
How to find the y-intercept of a graph?The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.
Using slope intercept formula,
y = mx + b
where
m = slopeb = y-interceptNow, let's trace the value of y when x = 0 in the graph.
Therefore,
when x = 0, y = -3
Hence, the y-intercept of the graph is -3
learn more on y-intercept here: https://brainly.com/question/20759265
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