Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!
Answer:
answers steps below and attached for the 5 points
Step-by-step explanation:
y = x² + 10x + 24
x² + 10x + 24 = 0
(x+4) (x+6) = 0
x = -4 or x = -6 .... Roots: (-4 , 0) and (-6 , 0)
y = (x² + 10x + 25) - 1 = (x+5)² - 1 ... y = (x-h)² + k (h,k) is vertex
vertex: (-5,-1)
Which situation can be represented by -85+85 choose all that apply
Nathan bought 12 books for a total of $60. At this rate, what is the cost of 4 books?
I NEED THIS SOON PLEASE I'M BEGGING!!!!!
Answer:
$20
Step-by-step explanation:
divide 60÷12 =5 gives the cost of one book
multiply 5×4=20
I need help please. I need the the discount and selling price. Thank you
PLEASEE, i’ve been struggling with this for a long time. What base and height should I use guys?! Pls dont you dare to scam me or you get a report
Ima mark brainliest ;-;
Answer:
3 height
7 Base
what is the midpoint of the line segment with endpoints(-5.5,-6.1) and (-0.5,9.1)?
Answer:
Formula = (x1+x2 , y1+y2)
2. 2
Step-by-step explanation:
(-5.5 -0.5. ,-6.1+9.1)
2. 2
(-6. 3 )
2 , 2
m= (-3, 3 )
2
Which phrase is a description of 7t-3?
Suppose we have a function defined by f(x)=4x+2 What is the value of f(3) ?
Answer:
um... 12
Step-by-step explanation:
<3
The value of f(3) is given as 14.
What is a function?A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.
The given function is as below,
f(x) = 4x + 2
In order to find the value of f(3) substitute x = 3 in the function as,
f(3) = 4 × 3 + 2
= 12 + 2
= 14
Hence, the value of the function f(x) at x = 3 is 14.
To know more about function click on,
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Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
Which property does this represent: (19 x 5) x 2 = 19 x (5 x 2)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The associative property of multiplication means that no matter where you put the parenthesis in the equation, the answer will remain the same.
Hope this helps! :)
apples are bought by a fruit shop for 25 cents each and resold for 33
cents each ? what is the selling price
Answer:
8 cents
Step-by-step explanation:
i'm going to assume you mean the value the store gets from selling the apples
33 - 25 =8
12
13
14
15
A rectangle has a length represented by the function f(x) and a width represented by g(x).
х
3
4.
5
6
P(x) = 2[(f + g)(x)]
16
22
28
34
A(x) = (fºg)(x)
7
18
33
52
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
answer is will be A(x) is linear, but P (x) is not
The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).
For the function -
P(x) = 2[(f + g)(x)]
We can see that two linear functions are added. So the resulting function will be a linear function.
and
For the function -
A(x) = (f º g)(x)
We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.
Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.
To solve more questions on functions, visit the link below-
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What is the area of the obtuse triangle given below?
2 9
Answer:
The area is 9 unit squared
Step-by-step explanation:
Given
The right parameters are:
[tex]Base = 2[/tex]
[tex]Height = 9[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
So, we have:
[tex]Area = 0.5 * 2 * 9[/tex]
[tex]Area = 9[/tex]
Hence, the area is 9 unit squared
What is 2÷5/12?(pls help i rly dont wanna go to summer school)
Answer:
4.8
Step-by-step explanation:
Answer:
0.033 is the answer.
Step-by-step explanation:
2/5=0.4
0.4/12=0.033
Have a nice day!
Please check my answer.
Which statement shows that a scuba diver 30 feet below the surface is lower than a kite boarder 3 feet above the surface?
A: -3 > 30
B: -30 > 3
C: 3 < 30
D: 3 > -30 (I picked this one. Am I correct?)
Answer: its C because 30 is greater than 3
Step-by-step explanation:
The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 3/4. What is the probability that it will rain on at most one of the
four days they are there? Round your answer to the nearest thousandth.
Answer:
3/4 or 0.75
Step-by-step explanation:
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
50
Step-by-step explanation:
2x+10+2x-30=180
4x-20=180
4x=200
x=50
Answer:
2x-30+2x+10=180[sum of angle of co interior angle is supplementary]
4x=180+20
x=200/4=50
x=50
Find the median for this data set:
23, 34, 35, 37, 41, 43, 43
The median is
Answer:
37
Step-by-step explanation:
37
Look at the image, HELP PLEASE.
Answer:
1/2
Step-by-step explanation:
Well, First let us find the amount of numbers in a die greater than 3.
Remember greater than 3 does not include 3.
We have 3 numbers, 4,5,6 that are greater than 3.
The probabilty of getting a rolling a number greater than 3 is 3/6.
The probability of the coin landing on heads is 1/2.
BUT, the problem is only requiring for you to find the probabilty of rolling a dice greater than 3. (key words)
Which is 3/6 or simplified to 1/2.
Which of the following is equivalent to 19 L?
A. 1,900 mL
B. 0.019 mL
C. 19,000 mL
D. 0.0019
the answer is A which is 1900 ml
Sylvia made 32 of her 50 free throws at basketball practice.
What percent of her free throws did she miss?
Answer: 36%
Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised
The smaller arrow is a scale drawing of the larger arrow. What percent of the area of the larger arrow is the area of
Answer:
the answer is 43%
Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer
What is the answer to this problem?
Answer:
0.5 if rounded to the nearest tenth
Step-by-step explanation:
In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!
In 2009- She paid $1900
She paid 16% more in 2010
16/100*1900=304
She paid $304 extra
$1900+$304
=$2204
Answer: In 2010 Tanvi paid $2204
ASAP pls help me giving brainliest
Answer:
4 pounds of flour does not equal 6 pounds of flour
or
4 pounds of concrete is lighter than 6 pounds of concrete
Step-by-step explanation:
A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?
Euler’s formula: V + F = E + 2
8
12
14
16
Answer:
8 faces
Step-by-step explanation:
F = # faces
4 + F + F = 18 + 2
2F + 4 = 20
2F = 16
F = 8
Answer:
8
Step-by-step explanation:
got it right on test
x/8.5=16/4
what's the answer
[tex]\frac{x-2}{x^2+4x-12}[/tex]
Answer:
1/(x+6)
Step-by-step explanation:
I'm assuming you want me to factorize
x^2+4x-12 would factorize into (x-2) and (x+6)
Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)
Lila plans to open an account with a deposit of $12,000. She plans to invest the money for 8 years in one of the following accounts:
An account that pays an annual simple interest of 7.5%, or
An account that pays 6% interest compounded annually.
If Lila invests in the account that will earn her more interest over these 8 years, how much interest will she earn?
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Answer:
$7200
Step-by-step explanation:
The amount of simple interest can be found from ...
I = Prt . . . . . . . where principal P is invested at annual rate r for t years
__
The amount of compound interest can be found from ...
I = P((1 +r)^t -1) . . . . . same variable definitions
__
The amount of simple interest earned is ...
I = 12000·0.075·8 = 7200
The amount of compound interest earned is ...
I = 12000(1.06^8 -1) ≈ 7126.18
In this scenario, the simple interest account earns more interest. If Lila chooses that one, the amount of interest earned is $7200.