Answer:
s = 5
Step-by-step explanation:
2m + 4s = 16
Step 1: Plug in -2 for m
2(-2) + 4s = 16
-4 + 4s = 16
Step 2: Solve for s
-4 + 4s + 4 = 16 + 4
4s / 4 = 20 / 4
s = 5
Answer: s = 5
Answer:
s= 5
Step-by-step explanation:
s= 5
m= - 2
2m + 4s= 16
Replace the m with the value it is in brackets. Remember brackets mean to multiply.
2(-2) + 4s= 16
-4 + 4s= 16
Carry over the -4 and make s the subject.
4s= 16 - - 4
4s= 16 + 4
4s= 20
s= 20/4
s= 5
Therefore s= 5
To check if the answer was correct, replace the s and m with the value it is in brackets. s= 5; m= 2
2(-2) + 4(5)= 16
-4 + 20 = 16
Therefore s= 5 and the answer is correct!
what is 5% on $600 in sales
Answer:
Percentages can be reversed. For example:
600% of 5 is 30. Therefore $30 would be 5% of $600.
Step-by-step explanation:
The answer you are looking for is $30.
To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.
I hope this helps!
I need help. Can someone pls answer with working thx
Question 1:
The given formula is
[tex]I=\frac{PTR}{100}[/tex]
To make T, the subject we multiply both sides by 100:
[tex]100I=\frac{PTR}{100} \times 100[/tex]
This becomes
[tex]100I=PTR[/tex]
Divide both sides by PR
[tex]T=\frac{100I}{PR}[/tex]
b) Amanda's principal is , P=€2565
The interest rate is 3.5% p.a. that is R=3.5
We want to find how many years, her money will gain an interest of I=€718.20
We substitute into the formula for T,
[tex]T=\frac{100 \times 718.20}{2565 \times 3.5}[/tex]
This simplifies to:
T=8
Therefore it will take 8 years
2) Percentage profit
[tex] = \frac{profit}{cost \: price} \times 100\%[/tex]
The cost price of the 80 articles €200
The selling price is 3.5×80=€280
The profit =€280-€200=€80
The percentage profit is now
[tex] = \frac{80}{200} \times 100\%[/tex]
[tex] = 0.4 \times 100\%[/tex]
[tex]40\%[/tex]
The percentage profit is 40%
Question 3)
Let the original price of the calculator be x.
Then 85% of this price will be:
[tex] \frac{85}{100} \times x[/tex]
This is the same as€32.89
We equate and solve for x.
[tex] \frac{85}{100} x= 32.89[/tex]
[tex]0.85x = 32.89[/tex]
[tex]x = \frac{32.89}{0.85} [/tex]
[tex]x = 38.69[/tex]
The original price is €38.69
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792 . Suppose that the distribution of contributions is normal with a standard deviation of $108 . Find the limits for the middle 58% of contributions. Use a graphing calculator and round the answers to two decimal places.
Final answer:
To find the limits for the middle 58% of charitable contributions in Pennsylvania, calculate the Z-scores and use them to determine the lower and upper limits.
Explanation:
Given data: Average charitable contribution = $792, Standard deviation = $108
Find middle 58% limits:
Calculate the Z-scores for the 58% middle region: Z-score for lower limit = -0.29, Z-score for upper limit = 0.29Use Z-score formula: Lower limit = Mean - Z-score * Standard deviation, Upper limit = Mean + Z-score * Standard deviationSubstitute values to find the limits: Lower limit = $757.28, Upper limit = $826.72Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative 8 n + 6 Negative 4 n + 8 + 9 n minus 2 and 5 n + 6 10 n minus 5 minus 2 n + 3 and 5 n minus 2
Answer:
Negative 4 n + 8 + 9 n minus 2 and 5 n + 6
Step-by-step explanation:
3v + 5 - (9v + 2)
3v + 5 - 9v -2 = -6v + 3
-6v + 6
(NO)
-6n + 3 - (2n + 2)
-6n + 3 - 2n - 4 = -8n - 1
-8n + 6
(NO)
-4n + 8 + 9n - 2 = 5n + 6
5n + 6
(YES)
Answer:
The answer is c
A student brought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to determine the cost of a bag of Chips,c
Answer:
x = 0.85
2 (1.25) + 3x = 5.05
Step-by-step explanation:
2 (1.25) + 3x = 5.05
2.5 + 3x = 5.05
3x = 2.55
How many 1/5-cup servings are in. 3/4 of a up of icecream
Answer:
3.75 or 3 3/4
Step-by-step explanation:
first put them on a common denominator of 20
1/5=4/20
3/4=15/20
then do 15 divided by 4
15/4= 3.75 or 3 3/4
For the right triangle shown, which expression represents the length of CB?
A) 6 cos(35°)
B) 6 tan(35°)
C)
6
sin(35°)
D)
cos(35°)
6
Answer:
B) 6 tan(35°)
Step-by-step explanation:
from the right angle tan° = opposite / adjacent
therefore tan (35°) = (x) / 6
by multiplying 6 to both sides
tan (35°) * 6 = (x) / 6 * 6
therefore (x) = 6 tan (35°)
Answer:
B
Step-by-step explanation:
I did it on usatestprep
An element with mass 590 grams decays by 19.5% per minute. How much of the
element is remaining after 15 minutes, to the nearest 10th of a gram?
22.8 gms
Step-by-step explanation:
Step 1:
Given,
Mass of the element = 590 gms
Percentage decay per minute = 19.5%
Step 2 :
Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805
Hence the fraction of element remaining after 15 minutes = [tex]0.805^{15}[/tex] = 0.03863
So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram
mass of the element remaining after 15 minutes = 22.8 gms
Answer:
22.8
Step-by-step explanation:
answered on delta math and got it correct
Can someone help me with this? Thank you :)
Answer: The area of the shaded region is 150.72 km^2
Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as
Circumference = 2 x Pi x radius
With the values available, we now have
25.12 = 2 x 3.14 x radius
25.12 = 6.28 x radius
Divide both sides of the equation by 6.28
radius = 4
Having calculated the radius of the inner circle, the area now becomes;
Area = Pi x radius^2
Area = 3.14 x 4^2
Area = 3.14 x 16
Area = 50.24 km^2
The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.
Next we calculate the area of the outer circle which is
Area = Pi x radius^2
Area = 3.14 x 8^2
Area = 3.14 x 64
Area = 200.96 km^2
Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is
Area of shaded region = 200.96 - 50.24
= 150.72 km^2
which is the graph of f(x)= √x
Answer:
ion know
Step-by-step explanation:
you figure it out
What is the slope of a line that passes through (2,-5) and (6,-2)? *
Answer:
Step-by-step explanation:
Answer:4/3
Step-by-step explanation:
what is the value of the function f(x)=2x+5 when x=3
a) 8
b) 11
c) 13
d) 28
f(x) =2x+5
=2*3+5
=6+5
=11
=b
Answer:
b) 11
Step-by-step explanation:
step 1: f(3)=2(3)+5
substitute (plug in) the value of x which in here is 3
step 2: 2(3)=6 +5= 11
follow order of operations
P - parenthesis
E- exponent
MD- multiply and divide from left to right
AS- add and subtract from left to right
Solve for θ if sinθ = 0.62. Round answer to the nearest degree.
Answer:
Theta=38° to the nearest degree
Step-by-step explanation:
4 2/3 - 2 1/3 plsss get me the answer
Answer:
2 1/3 or 7/3
Step-by-step explanation:
I would simplify it to 14/3 and 7/3 then subtract which you get 7/3 then simplify it to the original state which is 2 1/3. Hope this helps :)
What signs for 4 & 6 will get you to a 2?
Answer:
-4 and +6
Step-by-step explanation:
The signs of 4 and 6 that will get you to a 2 are
[tex] - 4[/tex]
and
[tex] + 6[/tex]
Putting the two together gives
[tex] - 4 + 6 = 6 - 4 = 2[/tex]
This means that, starting from -4 on the number line , move 6 units to the right.
This will land you on 2
Fig. 1
8 Von einem Medikament ist bekannt, dass es bei der Behandlung einer Krankheit mit
80% Wahrscheinlichkeit heilend wirkt. Es werden drei Patienten damit behandelt, die an
dieser Krankheit leiden. .
a) Ein Arzt überlegt sich, dass das Medikament mit einer Wahrscheinlichkeit von 51,2%
alle drei Patienten heilt. Wie kommt er zu diesem Ergebnis?
b) Wie groß ist die Wahrscheinlichkeit, dass mindestens zwei Patienten geheilt werden?
c) Wie kann man die Behandlung der Patienten mit einem Urnenexperiment simulieren?
Diskutiere, ob dann mit Zurücklegen“ oder „ohne Zurücklegen" gezogen wird.
Step-by-step explanation:
what’s the vertex of f(x)= (x-4)^2+7
Answer:
vertex is 4
Step-by-step explanation:
y = (x-4)^2 + 7
(x-4) (x-4)
x * x = x^2
x * -4 = -4x
-4 * x = -4x
-4 * -4 =16
x^2 - 8x + 16
y = x^2 -8x + 16 + 7
y = x^2 -8x + 23
a b c
formula to find vertex: -b / 2a
= -b / 2a
= - (-8) / 2 (1)
= 8 / 2
= 4
vertex = 4
(what i did was work out the exponent outsite the parentesis then i got the equation i wanted, and from that equation i used the formula to find the vertex and i just plugged the numbers of the equation into the formula and work it out)
Answer:
(4,7)
Step-by-step explanation:
The equation for a parabola can be written as
y = a(x-h)^2 +k where (h,k) is the vertex
given f(x) = (x-4)^2+7
The vertex is (4,7)
Can you guys please help me?
A kite is flying on a 100-foot string tied to a stake in the ground. If the kite has a vertical height of 80 feet, how far is it from the stake to a point on the ground directly below the kite?
A.)60
B.)100
C.)180
D.)80
Answer:
D
Step-by-step explanation:
6) What is 100 percent of 14 ?
Answer: 14
Step-by-step explanation:
100% of 14
= 100/100 × 14/1
14
Answer:14
Step-by-step explanation:
Percent= 100%
From= 14
Value= [tex]\frac{100}{100}[/tex] x 14= 1x 14 =14
The employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25. If a salad cost 1 dollar less than a turkey sandwich, what is a cost of a turkey sandwich and the cost of a salad?
Answer:
A turkey sandwich would cost $6.50 and the salads would be $5.50
Step-by-step explanation:
The cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.
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 employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25.
The cost will be calculated as,
4t + 2s = 25
s = t - 1
Substitute the value of s in the first equation,
4t + 2s = 25
4t + 2(t - 1)= 25
4t + 2t - 2 = 25
6t - 2 = 25
t = $4.5
The cost of salad will be,
S = t - 1
S = 4.5 - 1
S = $3.5
Therefore, the cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.
To know more about an expression follow
https://brainly.com/question/23732086
#SPJ2
Determine the center and radius of the following circle equation:
x2 + y2 - 6x + 6y - 82 = 0
Center:
Radius:
Pls help :)
The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.
To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.
First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.
Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.
Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.
Therefore, the circle's center is at (3, -3), and its radius is 10.
7/6 = ?/48 I just need the answer to this ASAP
Answer:
56
Step-by-step explanation:
6 X 8 = 48
7 X 8 = 56
Answer:
56/48
Step-by-step explanation:
you multiply both sides by 8.
How do lenders benefit from loan modification?
Answer:
The lender reduces the amount of principal that the borrower owes, with no expectation of repayment. Debt Forgiveness is analogous to a principal reduction. This is a more effective way to reduce payments than either lowering the interest rate on the mortgage, or extending the terms.
Answer:
they avoid foreclosure cost
Step-by-step explanation:
took the bullet
siw is a fourth as old as mother, and Mona is a fifth as old as mother. Mother is 22 years older than the two girls together. How old are they?
Answer:
Siw's age is 10 years old
Mona's age is 8 yers old
Mother's age is 40 years old
Step-by-step explanation:
Let
x ----> Siw's age
y ---> Mona's age
z ---> Mother's age
we know that
Siw is a fourth as old as mother
so
[tex]x=\frac{1}{4}z[/tex] ----> equation A
Mona is a fifth as old as mother
so
[tex]y=\frac{1}{5}z[/tex] ----> equation B
Mother is 22 years older than the two girls together.
so
[tex]z=x+y+22[/tex] ----> equation C
substitute equation A and equation B in equation C
[tex]z=\frac{1}{4}z+\frac{1}{5}z+22[/tex]
solve for z
Multiply by 20 both sides to remove the fraction
[tex]20z=5z+4z+440[/tex]
[tex]20z-9z=440\\11z=440\\z=40\ years[/tex]
Find the value of x
[tex]x=\frac{1}{4}(40)=10\ years[/tex]
Find the value of y
[tex]y=\frac{1}{5}(40)=8\ years[/tex]
therefore
Siw's age is 10 years old
Mona's age is 8 yers old
Mother's age is 40 years old
A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Answer:
The mom is 5 feet 3 inches
Step-by-step explanation:
Step 1: Make an equation
m = 1 3/4 * 3
Step 2: Solve
m = (4/4+3/4) * 3
m = 7/4 * 3
m = 21/4
m = 5.25
m = 5 feet 3 inches
Answer: The mom is 5 feet 3 inches
Answer:
5 and 1/4
Step-by-step explanation:
3 times 1.75 = 5.25
Hello This is pretty Easy But i forgot the basics
Answer:
-3, -2 1/2, -2 2/5, -2 3/10, -2
Step-by-step explanation:
Answer: from least to greatest =
-2 ; -2 3/10; -2 2/5; - 2 1/2, -3
Step-by-step explanation:
Step 1: Convert fraction to decimal
Step 2: arrange in the order
Step 3: be mindful of the sign (-)
Javier moves backward so that his horizontal distance from the tree is
greater. Will the distance from his eyes to the top of the tree also be
greater? Explain.
Answer:
Yes it will be greater, he is moving back 3 feet so what you are doing is taking the leg (a2) and multiplying it by 3. Once you do, you see triangle 1 has double and so did triangle 2. Triangle 1 was originally 5.6 (rounded to 6) than went up to 26.1. Triangle 2 was originally 24 and went up to 74.7 (or 75)
Step-by-step explanation:
Triangle 1 (when multiply by 3)
a2+b2=c2
7(square to 2)+b2=27(square to 2)
49+b2=729
-49 -49
--------------------
b2=680
(square root it)
b=26.1 Rounded to nearest tenth
Triangle 2:
a2+b2=c2
7(square to 2)+b2=75(square to 2)
49+b2=5625
-49 -49
-------------------
b2=5576
(square root it)
b=74.7 (or 75 rounded to nearest tenth)
Hope this helps anyone who needs it :)
Yes, the distance from his eyes to the top of the tree will also be greater.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that Javier moves backward so that his horizontal distance from the tree is greater.
Before moving backward, the distance from Javier's eyes to the top of the tree can be written as -
cosФ = b/h
h = b/cosФ
Now, we can see that -
h [tex]\alpha[/tex] b
As base increases, the hypotenuse length or the distance from Javier's eyes to the top of the tree will increase.
Therefore, yes, the distance from his eyes to the top of the tree will also be greater.
To solve more questions on functions, visit the link-
https://brainly.com/question/29014197
#SPJ5
20 points! Identify the solids that form the compos
s that form the composite solid. Then find the surface area.
Round your answer to the nearest tenth.
The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).
The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.
Please answer this correctly I have to finish this today as soon as possible
Answer:
Sheng
Step-by-step explanation:
Answer: Sheng
Step-by-step explanation:
First, you list the fraction of each of them. I then used the butterfly method to figure out whose fraction was smaller
Jack made 5 and 1/4 dozen cookies for the bake sale and his sister made 3 and 3/4 dozen cookies how many more cookies did jack make then his sister
Answer:
3 / 2 dozen
Step-by-step explanation:
5 + 1/4 - 3 + 3/4
21/4 - 15/4
6 / 4
3 / 2