A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn and 1 pound of bananas and paid $1.85 . What is the price of an ear of corn?
Please help!
Answer:
$0.70 per ear of corn
Step-by-step explanation:
Let c = Ear of corn
Let b = pound of bananas
First shopper:
7c + 6b = $5.15
Second Shopper:
4c + 1b = $1.85
Solve one equation for b since you are solving for c:
4c + 1b = $1.85
b = $1.85 - 4c
Substitute into other equation:
7c + 6b = $5.15 <--- b = $1.85 - 4c
7c + 6 ($1.85 - 4c) = $5.15
7c + $11.1 - 24c = $5.15
-17c + $11.1 - $11.1 = $5.15 - $11.1
-17c /-17 = -$11.85 /-17
c = $0.70 per ear of corn
Leave a like and mark brainliest if this helped
a1 + a2 + a3 + a4 + a5
Can someone pls helpppp ASAP this is due in 25 min :(
For the right triangles below, find the values of the side lengths d and a.
Round your answers to the nearest tenth.
Answer:
a = 1.4 and d = 6.9
Step-by-step explanation:
To get the value of d and a, we will use the SOH CAH TOA identity
For the first tringle;
Opposite = d ((opposite angle 60 degrees)
Adjacent = 4
Tan theta = opp/adj
Tan 60 = d/4
d = 4tan60
d = 4(1.732)
d = 6.9
For the second triangle;
Opposite = a
Hypotenuse = 2
Since sin theta = opp/hyp
Sin45 = a/2
a = 2sin45
a = 2(0.7071)
a = 1.4
Hence a = 1.4 and d = 6.9
Which of the following sets of measurements CANNOT represent the three side lengths of a triangle? A 3 cm, 3 cm, 3 cm B 3 cm. 4 cm, 5 cm C 3 cm, 5 cm, 7 cm D 3 cm, 6 cm. 9 cm
Answer:
D. 3 cm, 6 cm. 9 cmStep-by-step explanation:
As here,
3 cm + 6 cm = 9cm. = 9cm
And as we know,
According to Triangle Inequality Property,
Measurement of any two sides of a triangle is always greater than the third side.
But here,
Sum of two sides is same as the third side,
So,
Option D is the required answer.
Number 11 please help 10 points no links pleAse
Answer:
C
Step-by-step explanation:
The question states he wants to show the relationship between the trees ages and the number of apples they produce.
giving 25 points + brainliest if its correct
pic is attached
no links or fake answers pls
Answer:
Step-by-step explanation:
1 : 2 = 3 : 6
6 parts vinegar
Social Studies is 90
Language Arts is 94
Social Studies : Language Arts
4.5 × 50 = 225 miles
who can help me please ?
Surface Area:Question 10
Lamar plans to paint the net above before folding it into a
triangular prism. What is the surface area he will paint?
13 cm
10 cm
Select one:
12 am
13 cm
840cm
20 cm
O
780cm
810cm
ОО
0 720cm
Answer:
Don't understand 12am like how
box plot review what is the minimum value?
Answer:
The minumum value is the Smalles numer.
Step-by-step explanation:
Minumum= Lowest number
Maximum= Highest number
Range= Minumum and Maximum multiplied/added togheter.
IQR= Interquartile range
You answer 0.8 questions correctly.
a. What percent of the questions did you answer correctly?
you answer 0.8 questions correctly. what percent of the questions did you answer correctly. What fraction of the questions did you answer incorrectly? Use / for fraction and answer
Answer:
Step-by-step explanation:
Fraction:
0.8 = 8/10 = 4/5
Percent:
0.8*100 = 80%
Answer:
Solution :-0.8 can be written as
8/10 and
Percentage = 8/10 × 100
Percentage = 8 × 10
Percentage = 80%
Or,
Simply
Percentage = 0.8 × 100
Percentage = 80%
[tex] \\ [/tex]
Alejandra correctly wrote the equation y-3 = (x - 10) to represent a line that her teacher sketched. The teacher
then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra
write to represent the new line?
Answer:
The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13
Step-by-step explanation:
plz mark me as brainliest
Henry was thinking of a number. Henry divides by 2, then adds 10 to get an answer of 15. What was the original number?
Answer:
Henry was thinking of the number 10.
Step-by-step explanation:
Variable x = Henry's original number
Set up an equation:
x ÷ 2 + 10 = 15
Isolate variable x:
x ÷ 2 = 5
x = 10
HELPPPPP ME PLEASEE
Answer: <
6.12 x 10^4 < 612,000
Step-by-step explanation:
Answer:
<
Step-by-step explanation:
because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.
Abigail is 54. Inches tall which of the following is Abigail height
Answer:
4.5 feet
Step-by-step explanation:
One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:
Riley washes the dishes on
Monday and Thursday each week.
It takes her 15 minutes to wash the
dishes each day. How many
minutes does Riley spend washing
dishes every 3 weeks?
Please help! I'm feeling good today, I'll give you 20 points. Thanks!!
Answer:
solution:
5(4+2x)=-(x-5)-7
20+10x=-x+5-7
10x+x=-2-20
x=-22/11=-2
x=-2
so.D.-2 is your answer.
Find the measure of the indicated angles below.Drag the points to show the measure of the four angles
Answer Plzz
A. Angle E = 113°
B. x = 16°
ExplainNumber A
92 + 70 + 85 + ? = 360
162 + 85 + ? = 360
247 + ? = 360
? = 360 - 247
? = 113°
Number B
108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360
(180 + 84 + 30 + 18) + (x + 2x) = 360
312 + 3x = 360
3x = 360 - 312
3x = 48
x = 48/3
x = 16°
#LearnWithBrainly
What is the area of the irregular figure?
Answer:
106 m
Step-by-step explanation:
Brₐinliest plz close to leveling up
Answer:
Pretty sure it 13440
Sorry if its wrong but hope this helps.
At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than $20. Other bank managers at the meeting suggested that this statement may be in error and it needs to be tested. The file called Bank Call Center attached below, contains data for a random sample of 67 customers from the call center population. What should be conducted based on the sample data? Test using α = 0.10
Answer:
As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Step-by-step explanation:
As the standard deviation for the past due amounts is 63
The sample size n= 67
1) Formulate the null and alternate hypothesis
H0: u ≤ 23 against the claim Ha: u > 23
2) The test statistics is
Z= x- u / σ/ √n
z= 20- 23/ 63/ √67
z= 0.00581
z= 0.006
3) The significance level ∝= 0.1
4) The critical value for ∝= 0.1 is Z > ±2.33
5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
TAKE HOME
1. Find the angle between the vectors:
i-23 + 5k and 3i+j - 2k
Answer:
The angle between the two vectors
∝ = 64°
Step-by-step explanation:
Step(i):-
Given that the vectors
[tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]
and
[tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]
[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]
= 3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)
= 3 - 2 -10
= -9
Step(ii):-
Let '∝' be the angle between the two vectors
[tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]
[tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]
∝ = cos⁻¹(0.4392) = 63.947
Final answer:-
The angle between the two vectors
∝ = cos⁻¹(0.4392) = 63.947
∝ = 64°
Find the surface area of each pyramid round to the nearest tenth if necessary
Answer:
457.9
Step-by-step explanation:
Solve for x
1/6 (2x - 12x) = 30
A) -12 B) -15 C) -18 D) -24
D (-18)
___________________________________________________________
The image always helps me, please don't be afraid to point out any mistakes, I hope I helped have a great day!
When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3
Answer:
x=3
Step-by-step explanation:
Sub y=x-1 into 2x+y=8.
You will get 2x+x-1=8.
Simplify 3x-1=8
Solve 3x=9
x=3
Kathy wants to buy a sweater with a price tag of $25 the store is having a 40% off sale on all clothing which expression represents the sale price of the sweater
Answer:
.60 x $25 = X
Step-by-step explanation:
there aren't any multiple choice for the expressions but this expression would give you the answer
60% or .60 times the original price of the item will give you the new price of the item
$15 is the new price of the item
Rachel's car has a 12 gallon gas tank and
she uses about 0.5 gallons per day driving to
school. Write an equation describing the
number of gallons of gas, g, Rachel has in
her car and the number of days, d, she has
driven to school.
please help meeee
Answer:
g=dx
Or, if you'r wanting the solved equation..
12 = 0.5 x 24
Step-by-step explanation:
If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."
Hope this helped!
A function is defined by the rule f(x) = 11 - 2x. What is the value of f(-3) ?
Answer:
17
Step-by-step explanation:
11 - 2(-3) = 11 + 6 = 17
should put -3 where x is
The function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit in a room. (a) Write a new function in terms of f (0) for the temperature if the object is taken out of the refrigerator 2 minutes later. Note that·H =" is already provided. Do not include this in your submitted response to this question. b) Write a new function in terms of f(0) for the temperature if both the refrigerator and the room are 15 F colder. Note that·H-e is already provided. Do not include this in your submitted response to this question.
(a) The value of the function after 2 minutes later will be [tex]H=(T)^{t+2}[/tex].
(b) The value of the function at 15 F will be [tex]H=(15)^t[/tex].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit in a room.
(a) The value of the function after 2 minutes will be,
[tex]H=T^t\\H=(T)^{t+2}[/tex]
(b) The value of the function at 15 F will be,
[tex]H=(15)^{t}[/tex]
Therefore, the value of the function after 2 minutes later will be [tex]H=(T)^{t+2}[/tex]. The value of the function at 15 F will be [tex]H=(15)^t[/tex].
To know more about an expression follow
https://brainly.com/question/27587464
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What are the solutions to this quadratic equation? 5x2-7x-18=0
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
Learn more about quadratic equations here: brainly.com/question/1863222
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What is the distance, X between Jon's house and Maria's house?
Answer:
20ft
Step-by-step explanation:
A car travels 160 miles in 4 hours. How many miles per hour does the car
travel?
Answer:
40 mph
Step-by-step explanation:
160÷4 = 40 miles per hour
Answer:
40miles per hour
Step-by-step explanation:
distance traveled/time spent=speed(velocity)
160/4=speed (velocity)
40mph