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
Bob flipped a coin and got “heads” 9 times in a row! What is the probability that’s the next flip will be a “head”?
Answer:
50/50 chance
Step-by-step explanation:
A coin only has 2 sides so when you flip it you will always have a 50/50 chance of landing on heads or tails
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.
What's 65-70 days in weeks
Answer:
About 9-10 weeks
Step-by-step explanation:
70/7= 10
Answer:
9-10
Step-by-step explanation:
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
If the measure of the angles in a triangle are in the ratio 3:4:5, the measure of an exterior angle of the triangle can not be
Answer:
I would use photomath if you cant find your answer.
Step-by-step explanation:
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]
Please help I’ll make you the brainiest
Answer:
Jesse is correct
step by step explanation:
Answer:
The best bet would be Jesse.
Step-by-step explanation:
plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.
COME ONNNNN JSUT PLEASEE HELPPPPPPPPPPPP
Answer:
yeah sure
Step-by-step explanation:
Answer 9 : 1
Answer 10 : 8b²/3a³c³
Halp plzzz i need help finding the angle
Answer: The answer to what is the measure of angle x is 48°.
Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.
48°+42°=90° and this is a right scalene triangle.
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°
I don’t understand how this works?
Please help, thanks.
Answer:
(B) Is the answer here
Step-by-step explanation:
Well a function’s domain can’t repeat no matter what.
Domain is X.
So the first one doesnt work since it repeats to every single digit that exists.
The second one works becuase the domain aren’t repeated and the range being repeated (or known as y) is but that deosn’t matter.
Answer:
B
Step-by-step explanation:
Hello There!
In order for the relations to be a function the x values may not repeat
For answer choice A the x value -2 repeats multiply times therefore the relation is not a function
For answer choice B each x value has a different y value so this might be our answer but just to be safe lets look at the other answer choices
For answer choice C the x values -3 and 2 repeat therefore it is not a function
For answer choice D the x value 2 repeats therefore the relation is not a function
So we can conclude that the correct answer is B
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
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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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
Angles in triangles
Question is in the photo
Answer:
JSJXJX
Step-by-step explanation:
CF<DC<DE<DF<FE
speed of light is approximately 3x10^8 meters per second. While solving a problem,
Cara used 3x 10^10 meters per second for the speed of light and got the incorrect answer.
By which factor should Cara multiply her answer in order to get the correct answer?
Solve the right triangle
Answer
measure of angle A: 28 degrees
BC ≈ 13.3
BA = 28.3
hope this helps
Step-by-step explanation:
angle A
90- 62 = 28
angle A = 28
BC
tan (A) = BC / 25
(25) tan 28 = BC / 25 (25) multiply 25 on both sides to cancel it out from BC
13.292735 = BC
BC ≈ 13.3
BA
BA^2 = 13.3^2 + 25^2 Pythagorean theorem
BA ≈ 28.3
If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)
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
Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
Learn more about Equation of Line:
https://brainly.com/question/21511618
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which of the following represents 2/5 divided by 3/8
A store is offering a discount of 15% on fishing rods what is the amount a customer will pay for a rod regularly priced at $25.00
Answer:
$21.25
Step-by-step explanation:
$25 x 0.85 = $21.25
A trapezoid has bases of 20 inches and 30 inches. The height of the trapezoid is 15 inches. What is the area of the trapezoid in square inches? in2
Answer:
375in^2
Step-by-step explanation:
area of a trapezoid is base + base divded by 2 then times that by the height
20 + 30 = 50
50/2 + 25
25 x 15 = 375
Write a quadratic function that has been translated 1
units to the right and 3 units down.
Step-by-step explanation:
Hi,
f(x) = (x - 1) - 3
The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)
And the -3 is not embedded with the x, meaning the function will move 3 units down.
I hope this helps :)
Find the GCF. (Greatest Common Factor) Use^ to show exponents if
needed. *
3x5 + 6x + 6
Answer:
the greatest common factor is 3
Lainey bought a set of 20 markers for $6 sign
What is the cost of 1 marker?
Answer:
3 cents
Step-by-step explanation:
cost of 20 markers=$6
cost of 1 marker=?
Cost of 1 marker = 6/20 = 3/10 = 0.3
It costs 3 cents.
friends help me out
state true or false
0 is the multiplicative inverse of 0?
Answer:
false
Step-by-step explanation:
I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.
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.
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