Answer:
3.8 seconds
Step-by-step explanation:
Time taken to sort the mail is [tex]5[/tex] seconds
Let time taken to go from one mailbox to the next be [tex]x[/tex]
Distance between the mailboxes is [tex]100[/tex] ft
So, sorting the mail for one mailbox and going to the next will be done in [tex](5+x)[/tex] seconds
This will happen 19 times and 5 seconds will be needed to sort the mail for the last mail box. The carrier will have to deliver to all the 20 mailboxes in 10 minutes. So, the total time taken will be
[tex]19(5+x)+5=10\times 60\\\Rightarrow 19(5+x)=595\\\Rightarrow 5+x=\dfrac{595}{19}\\\Rightarrow x=\dfrac{595}{19}-5\\\Rightarrow x=\dfrac{500}{19}\ \text{s}[/tex]
Time taken to go from one mailbox to the other is [tex]\dfrac{500}{19}\ \text{s}[/tex]
Speed is given by
[tex]v=\dfrac{100}{\dfrac{500}{19}}\\\Rightarrow v=3.8\ \text{ft/s}[/tex]
The speed at which the carrier has to move from one mailbox to the next is 3.8 seconds.
NEED YOU GUYS HELP AGAIN!!
Answer:
20 lbs cost $10
Step-by-step explanation:
36 lbs= $180
x = $10
Let's use the cross method
36*10 = 180x
360 = 180x
360/180 = 180x/180
20= x
20 lbs cost $10
I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!
Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?
sin(49°)
cos(49°)
sin(157°)
cos(157°)
Answer:
D - cos(157)
Step-by-step explanation:
Cos sum angle identity
cos(A+B) = cosAcosB - sinAsinB
103+54=157
The correct answer to the question is Cos 157
There are two ways to solve this question:
Method 1:Evaluate: Cos103Cos54 – Sine103Sine54
This can be obtained as follow:
Cos103Cos54 – Sine103Sine54
= –0.1322 – 0.7883
= –0.9205Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:
Sine 49 = 0.7547
Cos 49 = 0.6561
Sine 157 = 0.3907
Cos 157 = –0.9205From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54
Thus, Cos 157 is the correct answer to the question.
Method 2Again, we can apply the addition formula from trigonometry.
Cos (A – B) = CosACosB + SineASineB
Cos (A + B) = CosACosB – SineASineB
Sine (A + B) = SineACosB + SineBCosA
Sine (A – B) = SineACosB – SineBCosA
Comparing
Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:
Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)Cos103Cos54 – Sine103Sine54 = Cos 157
Recall:
Cos103Cos54 – Sine103Sine54 = –0.9205
Cos 157 = –0.9205
Therefore, Cos 157 remains the correct answer to the question.
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IF YOU WANT BRAINLIESSSSSSSSSSSSSSSSSSST SAY, "I'M A SIMP FOR BRAINLIEST", AND I WILL GIVE U BRAINLIEST!!!!!!!! BTW, NO COPY N PASTERS, COPY N PASTERS WILL BE DISQUALIFIED.
Answer:
I'M A SIMP FOR BRAINLIEST
lol
-
Evaluate the following expression
22 - 53 +3
Answer:
-28
Step-by-step explanation:
Remember the order of operations: pemdas (parenthesis, exponent, multiply, divide, add, subtract). Just simplify the expression.
22 - 53 + 3
(22-53) + 3
-31 + 3
-28
Answer:
Your answer is: -28
Simplify the expression.
Step-by-step explanation:
Hope this helped : )
it takes 70 inches of ribbon around a box. the bow takes 32 inches of ribbon the width of the box is 14 inches. what is the height of the box
Plz Help With This Math Brainliest First Person
Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°
Last year the depth of the river was 4.2 feet deep.
This year it dropped 8%.
Find the depth of the river this year
HELP ME PLSS !!!
Answer:
should be around 3.9 exact answer is 3.864
Step-by-step explanation: subtract the percentage from the original depth
Please help with these 2 questions!!
Answer:
for the first it's y=6x and for the second it's the last options she mad mutiplying error
Answer:
1.) y = 6x 2.) She made a multiplying error in the table.
Step-by-step explanation:
1.)
Let's find the slope:
m = 36 - 24 / 6 - 4
m = 12/2
m = 6
Therefore, y = 6x
2.)
Amanda's equation checks out. It seems her problem is her multiplying.
Find the inverse of the one-to-one function.
y = 3x+4
Phillip ordered 15 small bookcases with 3 shelves each and 13 large bookcases with 5 shelves each. How many total shelves did Phillip order?
Answer:
110 Brainliest please
Step-by-step explanation:
(13x5)+(15x3)=110
When y = 7, what is the value of x?
Answer:-1 as said in the bottom of the equation
Step-by-step explanation: it is at the bottom of the equation if wrong sorry.
MULTIPLE CHOICE
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Three hats, two t-shirts, and one jacket cost $140. Two hats, two
t-shirts, and two jackets cost $170. One hat, three t-shirts, and two jackets cost $180. Find the prices of the induvial items.
Answer:
Hats cost $15, T-Shirts cost $25, Jackets cost $45
If this was helpful please mark brainliest, have a great day!
NEED HELP ASAP‼️‼️‼️
two column proof
Given: -5x+2/7 = -4; Prove: x = 6
Answer:
x = 6/7
Step-by-step explanation:
Solve for t. 7 + 3f > 4
Answer:
f > -1
Step-by-step explanation:
Subtract 7 from each side, so it now looks like this: 3f > -3Divide each side by 3 to cancel out the 3 next to f. It should now look like this: f > -1I hope this helps!
To which family does the function y = (x + 2) Superscript one-half Baseline + 3 belong?
quadratic
square root
exponential
reciprocal
Answer:
option b: square root
Step-by-step explanation:
just got correct on edge 2020
The family of the function belongs to square root.
We can solve this by understanding some types of functions
What is Function?This is an expression that relates two variable to one another.
In this question, we are looking for the family of the equation.
The function given is
[tex]y = (x + 2)^\frac{1}{2} + 3[/tex]
The options given here are
quadraticsquare rootexponentialreciprocalWhat is a quadratic equation?This is a polynomial that the variable have the highest power of 2. An example of this is [tex]y = ax^2 + bx + c[/tex]
What is a square rootThis a function in which the variable is a square root to the main function.
An example of this is [tex]y = \sqrt{x}[/tex]
What is an Exponential FunctionThis is a function in which one of the variable has an exponential function to the other. An example of this is [tex]y = 2e^x[/tex]
What is a Reciprocal FunctionThis is a function in which one of the variable is inverse to the other one. An example of this is [tex]y = \frac{1}{x}[/tex]
From the above explanation, we can see that the function
[tex]y = (x + 2)^\frac{1}{2} +3\\y = \sqrt{x+2} + 3[/tex]
is a square root function
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the markup on a restaurant meal is 250%. a meal cost $7.30 to produce. how much will the customer be charged before tax and tip?
The required amount of money that a customer be charged is, $25.55.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
The markup on a restaurant meal is 250%.
And, A meal cost $7.30 to produce.
Now, The markup price on the meal is given by,
⇒ 250% of $7.30
⇒ 250/100 × $7.30
⇒ 5/2 × $7.30
⇒ $18.25
Therefore, The amount of money that a customer be charged before tax and tip is,
⇒ $7.30 + $18.25
⇒ $25.55
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A 20-ounce
box of cereal
costs $3.60.
Answer:
is this the full question?
Step-by-step explanation:
Solve *
(6 + 3y2 + (9-10 + 5)
Answer:
Step-by-step explanation: The answer is
6y+10
Answer:
The answer is 6y + 10
passes through (-7, -4) parallel to y=1/2x+9
Answer:
y = 1/2x -.5
Step-by-step explanation:
We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.
It's a simple as this just plug the points into the equation you have like this.
(-7,-4) (PLUG IN)
-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)
-4 = -3.5 + b (add 3.5 on each side)
-.5 = b
the equation parallel to the first one is...
y = 1/2x -.5
describe a pentagonal prism.
Step-by-step explanation:
A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.
The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.
The surface area and volume for the right regular pentagonal prism of unit edge length are
S = 5+1/2sqrt(5(5+2sqrt(5)))
(1)
V = 1/4sqrt(5(5+2sqrt(5))).
Parallelograms PQRS and QRTU are standing on
the same base QR and between the same parallel
lines PT and QR. Prove that the area of
parallelograms PQRS and QRTU are equal.
Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.
To prove that the area of parallelograms PQRS and QRTU are equal,
Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.
Parallelograms PQRS and QRTU
Same base QR
Between the same parallel lines PT and QR
Proof,
Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.
Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.
Let's call this height 'h'.
The area of a parallelogram is given by the formula:
Area = base × height.
For PQRS, its area would be: Area of PQRS = QR × h.
For QRTU, its area would be: Area of QRTU = QR × h.
Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.
Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.
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help please i’m really stuck and i need help please
help me please i dont get it
Answer:
b
Step-by-step explanation:
b
Answer:6/12
Step-by-step explanation: you find the common denominator (12 in this case) and multiply 3 by 4 to get that,then you multiply one to get 4.And finally you can add (terrible explanation)
ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?
Answer:
4 packs of medium cups and 6 packs of large cups
Step-by-step explanation:
1.80x + 2.40y = 21.60
1.80(4) + 2.40(6) = 21.60
7.2 + 14.4 = 21.60
21.60 = 21.60
Answer:
Ivy bought 4 packs of medium cups, and 6 packs of large cups.
Step-by-step explanation:
To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.
Let [tex]m[/tex] equal medium cups.
Let [tex]l[/tex] equal large cups.
[tex]m+l=10[/tex]
[tex]1.80m+2.40l=21.60[/tex]
Let's use substitution to solve this system.
Subtract [tex]l[/tex] from both sides of the first equation:
[tex]m=10-l[/tex]
Let's substitute [tex]10-l[/tex] into the second equation for [tex]m[/tex]:
[tex]1.80(10-l)+2.40l=21.60[/tex]
Distribute [tex]1.80[/tex] into [tex](10-l)[/tex]:
[tex]18-1.80l+2.40l=21.60[/tex]
Combine like terms:
[tex]18+0.6l=21.60[/tex]
Subtract [tex]18[/tex] from both sides of the equation:
[tex]-0.6l=3.60[/tex]
Divide by the coefficient of [tex]l[/tex], which is [tex]0.6[/tex]:
[tex]l=6[/tex]
Ivy bought 6 packs of large cups.
_
Let's substitute [tex]6[/tex] into the first equation to find the number of medium cup packs:
[tex]m+6=10[/tex]
Subtract [tex]6[/tex] from both sides of the equation:
[tex]m=4[/tex]
Ivy bought 4 packs of medium cups.
_
We can check our work 2 ways; by substituting our solved values into the initial equations.
1st Equation Check:
[tex](4)+(6)=10[/tex]
[tex]10=10[/tex]
2nd Equation Check:
[tex]1.80(4)+2.40(6)=21.60[/tex]
[tex]7.2+14.4=21.60[/tex]
[tex]21.60=21.60[/tex]
Our answers are correct!
find the area of the shaded region
Answer:
D) 1,020 square units
Step-by-step explanation:
36x48=1728
24x32=768
6x10=60
1728-768+60=1020 square units
what is 1230 divided by 12
Answer:
102.5 is the answer sorry if u get I wrong
-7/-11 is the same as -7/11 True or false (Plz help me
Answer: False
Step-by-step explanation:
Two negatives equals a positive
Answer:
FALSE
Step-by-step explanation:
Which of the following equations is nonlinear?
y = 3
y = 8x - 1
y = 5x
y = 5x3
Answer:
D)y=5x³
Answer:
y = 5x^3
Step-by-step explanation:
If there is an exponent other than 1 on a variable, then it is not linear.
Answer: y = 5x^3 since the exponent on x is 3.
Which statement is true about the following expression?
(2 – 7)(y + 15)
O A.
The expression has 3 factors.
B.
The expression contains no factors.
С.
The expression has 1 factor.
D.
The expression has 5 factors.
Answer:
the expression has three factors
Step-by-step explanation:
(2-7y)(y+15)
2y+30-7y-105
-5y+30-105
The expression (2 – 7)(y + 15) has 1 factor.
FactorWhat is a factor?A number or algebraic expression that evenly divides another number or expression, i.e., leaves no remainder, is referred to as a factor.
What is one degree polynomial?An expression which has the highest power of one of the variable is called one degree or linear polynomial.
Calculate the factor of expression:The given expression is;
(2 – 7)(y + 15)
As, the expression has variable 'y', which has the highest power of one. It means the expression is a one degree polynomial.
The factor of polynomial is always equal to its degree; here in this case it is one.
Therefore, the expression (2 – 7)(y + 15) has only one factor.
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Which simplified equation is equivalent to the equation shown below?
15x - 5 + x= -47
A. 11x= -47
B. 16x-5= -47
C. 14x - 5 = -47
D. 21x = -47
Answer: B
Step-by-step explanation:
The simplified equation that is equivalent to the given equation is 16x - 5 = -47. The correct answer is option B.
The equation is given as follows:
15x - 5 + x = -47
A solution to an equation, as we know, is a variable value that, when substituted into the equation, provides a true claim.
To simplify the equation 15x - 5 + x = -47, we can combine the like terms on the left side of the equation.
Combining the terms with 'x', we have:
15x + x - 5 = -47
16x - 5 = -47
Therefore, the simplified equation that is equivalent to the given equation is 16x - 5 = -47.
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