The cost for each pound of chocolate chips and each pound of walnuts is: $1.25 and $9.75
Given,A store is having a sale on chocolate chips and walnuts.
For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost is 18.00 .
For 12 pounds of chocolate chips and 2 pounds of walnuts, the total cost is 45.
we are asked to determine the cost for each pound of chocolate chips and each pound of walnuts.
let x=cost/lb of walnuts
let y=cost/lb of chocolate chips
we frame the equations as:
3x+5y=16
6x+2y=22
Multiply eq 1 by 2.
we get:
6x+10y=32
6x+2y = 22
subtract now,
8y = 10
y = 10/8
y=1.25
x = x=16-5y=9.75
cost/lb of walnuts=$1.25
cost/lb of chocolate chips=$9.75
Hence we get the required cost.
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Pls answer this is in khan academy pls answer fast rapidly
Answer
34.056 I'm pretty sure it's right. I took a test with the same question
Answer:
34.556
Step-by-step explanation:
= (3x10) + (4x1) + (5x1/10) + (5x1/100) + (6x1/1000)
= 30 + 4 + 0.5 + 0.05 + 0.006
For the data in each table, tell whether y varies directly with x. If it does, write an equation for the direct variation. Check your answer by plotting the points from the table and sketching the line. There are two graphs, one's points are (-6,9), (1,-1.5), (8,-12) and another is (-2,1), (3,6), (8,11).
The statements on the relations and whether they are proportional relationships is given as follows:
(-6,9), (1,-1.5), (8,-12): Yes, with equation y = -1.5x.(-2,1), (3,6), (8,11): No.What is a proportional relationship?A proportional relationship is a linear function that has intercept of zero and slope as the constant of the proportionality k, as follows:
y = kx.
A relation represents a proportional relationship if the ratio of the output y by the input x is the same for all the points.
For the first relation, the constant for each point is given as follows:
k = 9/-6 = -1.5.k = -1.5/1 = -1.5.k = -12/8.Hence it represents a proportional relationship, and the equation is given as follows:
y = -1.5x.
For the second relationship, the constants are:
k = 1/-2 = -0.5.k = 6/3 = 2.Different constants, hence it does not represent a proportional relationship.
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gabby uses 5 cups of corn and 6 cups of lima bean to make succotash. Robert uses 7 cups of corn and 9 cups of lima beans to make succotash. are the ratios of corn to lima beans equivalent? Explain why or why not
The ratios of corn to lima beans are not equivalent.
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
In case of Gabby:
Ratio of corn to lima beans = 5/6 = 0.833
In case of Robert:
Ratio of corn to lima beans = 7/9 = 0.777
Notice that 0.833 ≠ 0.777
So, the ratios of corn to lima beans are not equivalent.
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A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 40 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t) = -16t²+40t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ___ second(s) after launch.
(Simplify your answer.)
The time taken for the rocket to reach its maximum height is; 1.25 seconds.
The maximum height reached by the toy rocket is; 44.5 feet.
What is the maximum height reached by the rocket?It follows from the task content that the maximum height reached by the rocket is to be determined.
The given function is; h (t) = -16 t² + 40t + 7.
Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.
Therefore; at maximum height;
h'(t) = 0
h'(t) = -32t + 40 = 0
-32t = -40
t = -40/-32
t = 1.25 seconds.
Therefore, the time taken for the rocket to reach its maximum height is; 1.25 seconds.
Also, the maximum height reached by the rocket is at; h (1.25);
h(1.25) = -16(1.25)² + 40 (1.25) + 7
= -25 + 62.5 + 7
= 44.5
The maximum height reached is; 44.5 feet.
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I need to know the z-score to percentile of 1
Answer:-2.326
Step-by-step explanation:i believe it's that
i need this answered
Considering the given sample, it is found that:
a) The confidence interval is: (71.43, 77.17).
b) The interval does not contain 78, hence the manufacturer's claim is not correct.
c) The sample size needed is: 55.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are presented as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 12 - 1 = 11 df, is t = 2.201.
Using a calculator, the other parameters for the interval are given as follows:
[tex]\overline{x} = 74.3, s = 4.52, n = 12[/tex]
Hence the lower bound of the interval is:
74.3 - 2.201 x 4.52/sqrt(12) = 71.43.
The upper bound is:
74.3 + 2.201 x 4.52/sqrt(12) = 77.17.
For item c, we have that:
The population standard deviation of [tex]\sigma = 3.91[/tex] is used.Since the population standard deviation is know, the z-distribution is used and the critical value is z = 1.95.The margin of error is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Then the sample size is obtained when M = 1.04 as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1.04 = 1.96\frac{3.91}{\sqrt{n}}[/tex]
[tex]1.04\sqrt{n} = 1.96 \times 3.91[/tex]
[tex]\sqrt{n} = \frac{1.96 \times 3.91}{1.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96 \times 3.91}{1.04}\right)^2[/tex]
n = 55. (rounded up).
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Jeff sold half of his baseball cards then bought sixteen more. He now has 21 baseball cards.
How many cards did he begin with?
2
Jeff would have had 10 cards to begin with.
Then, if Jeff sold half of his baseball cards, he would then have 5 cards.
It says that Jeff bought 16 more cards, so 16 + 5
Well, 16 + 5 = 21. The text says that he now has 21 cards, so this should be a correct answer.
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Joke: What is a snowman's favorite type of Mexican food?
Answer: Burr-itos!
Have a great day and God bless! :D
An investor bought 700 shares of stock, some at $2.25 per share and some at $2.75 per share. If the total cost was $1825.00, how many shares of each stock did the investor buy? (Round to two decimal places if necessary.)
The shares of $2.25 are 200 and the shares of $2.75 are 700.
According to the question,
We have the following information:
An investor bought 700 shares of stock, some at $2.25 per share and some at $2.75 per share. And the total cost was $1825.00.
Now, let's take the shares of $2.25 to be x and the shares of $2.75 to be y.
So, we have the following expression:
x+y = 700
x = 700-y ....(1)
2.25x+2.75y = 1825 ...(2)
Putting the value of x from equation 1:
2.25(700-y)+2.75y = 1825
1575-2.25y+2.75y = 1825
1575+0.5y = 1825
0.5y = 250
y = 250/0.5
y = 500
Now, putting the value of y in equation 1:
x = 700-y
x = 700-500
x = 200
Hence, the shares of $2.25 are 200 and the shares of $2.75 are 700.
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26. Benson buys some pencils at $4 each and some pens at $6 each. The total number of pencils and pens bought is 37. The amount spent on buying pencils is $58 higher than that spent on buying pens. Find the amount of money spent on buying pens.
for an activity in class, students used pieces of string to measure roads on a map. they used a map scale to determine the distance between two cities. one group measured the distance between fort myers and miami on a florida state map. the string distance was 7.75 inches, which represents a real-life distance of about 155 miles. another group measured the distance between tampa and orlando on the same map and found that distance to be 4.25 inches. what is the real-life distance to the nearest mile between tampa and orlando
A. 85
B. 282
C. 132
D. 298
Answer:
85 milesStep-by-step explanation:
Given155 miles ⇒ 7.75 in,x miles ⇒ 4.25 in.Cross-multiply and solve for x155*4.25 = 7.75xx = 155*4.25/7.75x = 85At a butcher shop, Hilda bought beef and pork. she left with 18,8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.
At a butcher shop, Hilda bought beef and pork. she left with 18.8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.
= 18.8/25
= 0.752
Solve the inequality 5.2 − 5 < 0.2 − 13
Answer:
I do not see any answer to this problem besides only simplifying
Therefore, there is no solution, unless if your question was a typo error.
Thank you.
Use the table that shows popular sports cars colors in North America how many times more respondents to silver than red round to the nearest 10th if necessary(silver=0.2, red=0.09). Next question. How many times more respondents chose either silver or black than red? Round to the nearest tenth if necessary.
(a) The respondents who chose silver 2.3 times more than red , and
(b) the respondents who chose either silver or black are 3.8 times more than who chose red .
In the question ,
a table is given which shows popular sports cars colors in North America .
Part(a)
portion of respondents who chose silver = 0.20 ,
portion of respondents who chose red = 0.09 ,
the number of times more respondents chose silver than red = 0.20/0.09
= 20/9
= 2.22222
On rounding to the nearest tenth
≈ 2.3
Part(b)
portion of respondents who chose black = 0.14 ,
portion of respondents who chose either black or silver = 0.20 + 0.14
= 0.34
number of times more respondents chose either silver or black than red
= 0.34/0.09
= 3.7777777
rounding to the nearest tenth
≈ 3.8
Therefore , (a) The respondents who chose silver 2.3 times more than red , and
(b) the respondents who chose either silver or black are 3.8 times more than who chose red .
The given question is incomplete , the complete question is
Use the table that shows popular sports cars colors in North America
(a) how many times more respondents to silver than red round to the nearest 10th if necessary.
(b) How many times more respondents chose either silver or black than red? Round to the nearest tenth if necessary.
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Can someone tell me what the value of these logarithms are:
Answer:
4 and 4
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
(a)
let [tex]log_{3}[/tex] (81) = n , then
81 = [tex]3^{n}[/tex] = [tex]3^{4}[/tex] with n = 4
then [tex]log_{3}[/tex] (81) = 4
(b)
note that log(10,000) = [tex]log_{10}[/tex] (10,000)
let [tex]log_{10}[/tex] (10,000) = n , then
10,000 = [tex]10^{n}[/tex] = [tex]10^{4}[/tex] with n = 4
then log(10,000) = 4
The whale shark feeds for 7.5 hours each day. Graph the function that represents the amount f of food (in pounds) filtered by the whale shark as a function of the number d of days.
Answer:
step by step answer at least
Which ordered pairs represent points on the graph of this equation? Select all that apply. 3x=y+4
(7,– 1)
(2,2)
(3,5)
(0,4)
(– 1,– 7)
(0,– 4)
The ordered pairs that are on the graph of the linear equation are:
{(2,2), (3,5), (– 1,– 7), (0, -4)}
Which ordered pairs represent points on the graph?Here we have a list of ordered pairs and we want to see which ones are solutions for the given linear equation:
3x = y + 4
To check that, we can just replace the values of each ordered pair in the equation and see if the equation is true or false. If it is true, then the ordered pair is a point on the graph.
1) (7,– 1)
3*7 = -1 + 4
21 = 3 this is false.
2) (2,2)
3*2 = 2 + 4
6 = 6 this is true.
3) (3,5)
3*3 = 5 + 4
9 = 9 this is true.
4) (0,4)
3*0 = 4 + 4
0 = 8 this is false.
5) (– 1,– 7)
3*-1 = -7 + 4
-3 = -3 this is true.
6) (0, -4)
3*0 = -4 + 4
0 = 0 this is true.
So the correct options are:
{(2,2), (3,5), (– 1,– 7), (0, -4)}
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12. How many quarters are there in 5 3/4
Answer: 23
Step-by-step explanation: Please give brianlist
¿cuales son los divisores del 27?
what is the value of the expression when a=-8, b=3, and c=6?
a^2 - 2ac + 5b
The value of the expression a^2 - 2ac + 5b is, 175.
What is the value of expression?
When the variables and constants in the expression are given values, the calculation that this expression describes yields the value. In an algebraic expression, letters can substitute for numbers.
Consider, the given expression,
a^2 - 2ac + 5b
The values of a, b and c are
a = -8, b = 3, c = 6.
Plug these values in the above expression,
So, the expression becomes
(-8)^2 - 2(-8)(6) + 5(3) = 64 + 96 + 15 = 175
Hence, the value of the expression is, 175.
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A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the
Pythagorean Theorem. What are the measures of the other 2 angles?
Answer:
28.072°, 61.928°
Step-by-step explanation:
You want the measures of the acute angles in a right triangle with sides 8, 15, 17.
Trig functionsAny of the (inverse) trig functions can be used to find the angles. You know the acute angles are complementary, so finding one tells you the measure of the other.
Tan = Opposite/Adjacent
The smallest angle (A) is adjacent to side 15 and opposite side 8.
tan(A) = 8/15
A = arctan(8/15) ≈ 28.072°
The complement is angle B:
B = 90° -28.072° = 61.928°
__
Additional comment
We have taken sides {a, b, c} = {8, 15, 17}. The angles opposite those sides are A, B, C.
You can also use ...
A = arcsin(8/17)
B = arccos(8/17)
P=$3000
R=10%
T=5 yrs.
I=
I need the interest answer
P=$8000
T=4 yrs.
I=$800
R=
I need the rate answer
P=$2000
R=20%
I=$400
T=
I need the time answer
The answer for the part 1 I=1500, part 2: R = 2.5% and part 3: T=1year, using Simple interest, Rate and Time.
What is simple interest and Rate?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
Given part 1: P=$3000,R=10%,T=5 yrs.
I = 3000*10*5/100 = 1500
part 2: P=$8000,T=4 yrs,I=$800
R= 800*100/8000*4 = 2.5%
part3: P=$2000,R=20%,I=$400
So T = 400*100/2000*20 = 1 year
Hence the answer for the part 1 I=1500, part 2: R = 2.5% and part 3: T=1year
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2+10+18+…+x=552=>x=?
The value of x is 90 if the 2+10+18+…+x=552 which is an arithmetic sequence.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
The given is:
2+10+18+…+x=552
The above is the arithmetic sequence:
a = 2
d = 10 - 2 = 8
a(n) = x
a + (n-1)d = x
2 + (n-1)8 = x ..(I)
s(n) = 552
(n/2)[a + x] = 552
(n/2)[2 + x] = 552 ..(II)
From equation (I) and (II)
The values of x and n:
[tex]\rm \begin{pmatrix}x=90,\:&n=12\\ x=-98,\:&n=-\frac{23}{2}\end{pmatrix}[/tex]
the value of n -23/2 is not possible
x = 90
Thus, the value of x is 90 if the 2+10+18+…+x=552 which is an arithmetic sequence.
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Help please, can you explain and give answer
Answer:
IncreasingDecreasingDecreasingDecreasingStep-by-step explanation:
You can determine whether a function is increasing or decreasing by taking its derivative.
If the derivative is bigger than 0, then function is increasing.
If the derivative is less than 0, then the function is decreasing.
You can also graph the functions to determine whether they are increasing or decreasing.
Elsa works 3 times faster than Sofia. if they work together, they can do the job in 21 minutes. how long does it take Sofia to do the job herself?
The required time taken by the sofia is 15.75 minutes.
Define work.Work is defined as the efficiency of the person to do a particular work in the certain period of time. Work is directly proportional to the efficiency and inversely proportional to time.
Formula, work = efficiency/time
According to the given data in the question:
Let efficiency of sofia be 1, then efficiency of elsa is 3.
We have time for 21 minutes
total work =efficiency/time
time for sofia = 3x and that of elsa = 1x
then time= 4x = 21 = 5.25= x
time taken by sofia is 3(5.25) = 15.75 minutes
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Rewrite 0.16 repeating a percent
Solve the equation for y.
у - 5x = 3
y=
[tex]{ \boxed{ \red{ \sf{y = 3 + 5x}}}}[/tex]
Step-by-step explanation:
[tex]{ \blue{ \tt{y - 5x = 3}}}[/tex]
Shift -5x to right side then,
[tex]{ \boxed{ \blue{ \tt{y = 3 + 5x}}}}[/tex]
-9 (1 + 6x) = 42 - 3x
Answer:
x = - 1
Step-by-step explanation:
- 9(1 + 6x) = 42 - 3x ← distribute parenthesis on left side by - 9
- 9 - 54x = 42 - 3x ( add 3x to both sides )
- 9 - 51x = 42 ( add 9 to both sides )
- 51x = 51 ( divide both sides by - 51 )
x = - 1
Answer:-1=x
Step-by-step explanation:
-9(1+6x)=42-3x
-9-54x=42-3x
+54x +54x
-9=42+51x
-42 -42
-51/51=51x/51
-1=x
A carton can only contain 15 tins of biscuit. A wholesaler needs to re-pack 448 tins of biscuits into cartons. How many cartons does he need if he wants to pack all the biscuits?
15 points please help
Draw a line through the points. Why does this line show a proportional relationship? Check all that are true. A. It is not curved B. It is a vertical line C. It connects all the dots D. It goes through the origin
Answer:
Without seeing the picture I would say that all are true
Step-by-step explanation:
A proportional relationship does go through the origin. It is a straight line. a straight line does not curve.
