he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.
So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.
r=raisins, p=peanuts
(r x $3.25) + (p x $5.75) = $7.50
The weight of the ingredients in the mixture are 1.8 pound and 0.2 pound respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given problem can be solved as follows,
Suppose the amount of raisins be x pound,
And, the amount of peanuts be y pound,
Now, the equation for the total amount is given as,
x + y = 2 (1)
And, for the cost as,
3.25x + 5.75y = 7.50 (2)
Multiply equation (1) by 3.25 and then subtract from (2) as follows,
3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50
=> -2.5y = -0.5
=> y = 0.2
Then, x + 0.2 = 2
=> x = 1.8
Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.
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-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when ( x + 2 ) 2 (x+2) 2 is subtracted from 7 x − 4 7x−4?
Answer:
-x²+3x-8
Step-by-step explanation:
Given polynomials are :
f(x) = (x+2)²
p(x) = 7x−4
We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.
p(x) - f(x) = 7x−4 - (x+2)²
We know that, (a+b)² = a²+b²+2ab
So,
p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))
= 7x−4 -(x²+4+4x)
= 7x−4-x²-4-4x
= -x²+3x-8
Hence, the result will be -x²+3x-8.
ill give a brainest no cap plz actually help
Step-by-step explanation:
Amount borrowed=400
interest rate=4%
Amount of interest after x years =0.04XxX400=$16x
Total to be paid back=400+0.04XxX400=400+16(1)
1) the amount of interest.if Franco pays back the loan in x=1 years is
16x1=$16
2) the amount of interest,if Franco pay back the loan in x=2 years is,
16x2=$32
3) the amount of franco will pay the lender after 2 years will be
400+(16x2)=400+32=$432
owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for 5.5 hours and charged him $70 for parts the total is $702.50 what was the total cost of labor per hour
To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour
11.
10. The points (2, 4) and (-2,-4) are plotted on the
coordinate plane using the equation y=a.x.
How can you use the coordinates to find the
value of a?
..
Answer: 2
Step-by-step explanation: use the slope formula y2-y1/x2-x2
-4-4/-2-2=-2
(both equations above should be fractions when read)
To which graph does the point (2, 4) belong? (1 point)
Answer: you didnt show any graphs but it should be plotted like this
Step-by-step explanation:
Please answer this question
Answer:
3/100
Step-by-step explanation:
1 m = 100 cm
Scale factor = 3/100
Hope it helps you
Answer:
the answer would be 3/100
Jeremy ran 4 kilometers in a race. How many meters did he run?
Answer:
4000m
1k =1000m
Step-by-step explanation:
Can someone help me
when you add 18 to 1/4 of a number, you get the number itself
Answer:
1/4*24+18=24
Step-by-step explanation:
1/4x+18=x
1/4x-x=-18
-3/4x=-18
x=-18/(-3/4)
x=-18*-4/3
x=24
--------------
1/4*24+18=24
can someone help with this??
Write the answer in simplest form.
1/9÷2/5=
Answer:
yes I can
Step-by-step explanation:
1/9÷2/5
=0.011111111111
=1⁄90
EASY PROBLEM AND WILL GIVE BRAINLIEST
Jesse owns a sporting goods store that sells skis and snowboards. The store earns a profit of $52 for each ski sold and a profit of $64 for each snowboard sold. If Jesse's store sells a total of 83 pairs of skis and snowboards and earns a profit of $4892 in November, how many pairs of skis and snowboards did the store sell that month
Answer:
9
Step-by-step explanation:
I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!
Answer: they sold 35 skis and 48 snowboard
Step-by-step explanation:
52 x 35 = 1820
64 x 48 = 3072
1820 + 3072 = 4892
PLEASE HURRY
Write 14% as a decimal.
7.14
7.14
0.14
0.14
1.4
1.4
750
Answer:
0.14
Step-by-step explanation:
To get this, you need to divide the number by a 100.
14/100 = 0.14
Therefore 14% is 0.14 as a decimal.
Hope that helped! :)
create a reciprocal function that has been translated left 2 units and up 4 units
7 Which of following equations represents the
relationship shown in the graph below?
a. y = .2x
b. y = x + 12
50
45
40
35
30
25
20
15
10
5
c. y = 3x
d. y = 5x
1 2 3 4 5 6 7 8 9 10
Answer:
y=5x
Step-by-step explanation:
slope =5
y intercept= 0
Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.
a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical.
Answer:
try adding them togeher
Step-by-step explanation:
Answer:
Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.
a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical.
b. Is the answer to the question that same as the solution to the inequality? Explain.
2
SEE ANSWERS
Step-by-step explanation:
Identify the similar triangle to the triangle shown. 8 40 A) 5 14 B) 11 49 C) 1 5 D) 5 12
Answer:
C 1 5
Step-by-step explanation:
that's ur answer I hope it's correct
T
V
3x+9
14
U
3
The angle is a total of 44 degrees
X=
ZTUV =
A-3,9
Step-by-step explanation:
2( t- 7) = -4
help meeee plss
Answer: t=5
Step-by-step explanation:
Solve -8 = -4k PLEASE IM BEGGING
Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an² + bn + c.
1, 11, 27 and 49
Find the values of a, b and c.
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
The measure of a, b and c is 3, 1 and - 3 respectively.
What is a quadratic sequence?A quadratic sequence is a sequence whose nth term is given by the general formula -
A{n} = an² + bn + c.
Given are the 4 terms of the quadratic sequence as 1, 11, 27 and 49.
Now, we can the following equations as -
A{1} = a + b + c = 1
a + b + c = 1
c = 1 - a - b ........ Eq[1]
A{2} = 4a + 2b + c = 11
4a + 2b + c = 11
c = 11 - 4a - 2b ........ Eq[2]
A{3} = 9a + 3b + c = 27
9a + 3b + c = 27
c = 27 - 9a - 3b ........ Eq[3]
A{4} = 16a + 4b + c = 49
16a + 4b + c = 49
c = 49 - 16a - 4b ........ Eq[4]
Equate Eq[1] and Eq[2] -
1 - a - b = 11 - 4a - 2b
1 - 11 = - 4a - 2b + a + b
- 10 = - 3a - b
3a + b = 10 ........... Eq[5]
Equate Eq[3] and Eq[4] -
27 - 9a - 3b = 49 - 16a - 4b
- 9a - 3b + 16a + 4b = 49 - 27
7a + b = 22 .......... Eq[6]
We can write -
7a + 10 - 3a = 22
4a + 10 = 22
4a = 12
a = 3
and
b = 10 - 3a
b = 10 - 9
b = 1
At last -
c = 1 - a - b
c = 1 - 3 - 1
c = - 3
Therefore, the measure of a, b and c is 3, 1 and - 3 respectively.
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In the following quadratic function, I can easily determine which key feature?
y= (x + 5)^2-3
A. Vertex
B. y-intercept
C. x-interceptis
-7(x+5) =21
apply the distributive property and simplify
Answer:
x=−8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(x+5)=21
(−7)(x)+(−7)(5)=21(Distribute)
−7x+−35=21
−7x−35=21
Step 2: Add 35 to both sides.
−7x−35+35=21+35
−7x=56
Step 3: Divide both sides by -7.
−7x/−7 = 56/−7
x=−8
Answer:-
Distributed: -7x+(-35)=21 Simplified: x=-8
Step-by-step explanation:-
Distributed:
-7(x+5)=21
(x*(-7))+(5*(-7))=21
-7x+(-35)=21
Simplified:
-7x-35=21
-7x=21+35
-7x=56
x=-8
What is the midline equation of the function h(x)=-3\cos(\pi x+2)-6h(x)=−3cos(πx+2)−6h, left parenthesis, x, right parenthesis, equals, minus, 3, cosine, left parenthesis, pi, x, plus, 2, right parenthesis, minus, 6?
Ans23.0
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What is sin R ?I have no idea how to solve
n (not sure)
Step-by-step explanation:
A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman class was 243. The school reported that it enrolled 7 in-state students for every 2 out-of-state students. How many of each type of student was enrolled in the freshman class?
Answer:
Step-by-step explanation:
SOMEONE HELPI'LL GIVE CROWN
Answer:
[tex] \boxed{ \: company : B : \: } \\ \underline{ \boxed{ has \: a \: proportional \: relationship}} [/tex]
Step-by-step explanation:
[tex]let \: company : A : weight \: and \: cost\: be \to \: w_A \: and \:c_A \\ let \: company : B : weight \: and \: cost\: be \to \: w_B \: and \:c_B \\ \underline{\boxed{ \: company : A : \:} } \\ if \to \: c_A \infty w_A \\ c_A = k w_A \\but \to : \\ k = \frac{c_A}{w_A} = \frac{10.55}{1} \not= \: \frac{10.85}{2} \not= \frac{11.15}{3} \\ therefore \to : \\ \boxed{ \: company : A : \: } \\ \underline{ \boxed{ has \: no \: proportional \: relationship}} \\ \\ \underline{\boxed{ \: company : B : \:} } \\ if \to \: c_B \infty w_B \\ c_B = k w_B \\but \to : \\ k = \frac{c_B}{w_B} = \frac{2.75}{1} = \frac{5.5}{2} = \frac{8.25}{3} = 2.75 \\ hence \to : \\ \boxed{ \: company : B : \: } \\ \underline{ \boxed{ has \: a \: proportional \: relationship}} [/tex]
What is the slope of the line that passes through the following points ?
(-7,0) and (4,-2)
Answer:
[tex]\displaystyle m=\frac{-2}{11}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, 0)
Point (4, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-2-0}{4--7}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-2-0}{4+7}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{-2}{11}[/tex]A utility pole is 24 feet tall and its shadow is 45 feet long. A nearby water tower is 32 feet tall. How long is the water tower's shadow?
Answer: The tower's shadow is 60 feet long.
Step-by-step explanation:
We can use a ratio to solve this:
24/45 = 32/x
Cross multiply: (Numerator of left side times the denominator of right side, and denominator of the left side by numerator of right side.)
24x = 32(45)
24x = 1440 divide both sides by 24
x = 60
What should you do to each side of the equation to solve -32+x=53?
Answer: c. add 32
Step-by-step explanation:
Answer:
add 32
Step-by-step explanation:
it will solve for x