Answer:
24 bags can be made from three 5 pounds bags.
Step-by-step explanation:
Given that:
Three 5 pound bags are donated.
Total weight of bags = 3*5 = 15 pounds
We know that:
1 pound = 16 ounces
15 pounds = 16*15 = 240 ounces
A bag weighs 10 ounces.
Number of bags = [tex]\frac{240}{10}[/tex]
Number of bags = 24 bags
Hence,
24 bags can be made from three 5 pounds bags.
The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS
Step-by-step explanation:
Since area of Square A = 7 ft²,
Side length of Square A = √7 ft.
Length of Rectangle B = √7 ft
Width of Rectangle B = 4/√7 ft
Hence Area of Square C
= (4)² / (√7)² ft² = 16/7 ft².
The area of Square C is the square of the height of the Rectangle B.
Correct responses:
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex][tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]Methods used for finding the area of Square CThe given area of square A = 7 ft.²
The given area of rectangle, B = 4 ft.²
Let s represent the side length of square C and let S represent the side length of square A, we have;
Area of rectangle B = S × s = S·s
Area of square A = S × S = S²
Area of square C = s × s = s²
[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]
Therefore, the expression for the area of Square C in terms of the area
of Square A and Rectangle B is presented as follows;
[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]Which gives;
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]By simplification, we have;
[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]
[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]Learn more about squares and rectangles here:
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Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)?
Answer:
y=-6
Step-by-step explanation:
the line needs to be vertical to be parallel to y=2, and pass through (-1,-6)
Plss answer
i will give brainliest
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?
is the product of 18 negative numbers and 20 positive numbers a positive number or negative
Answer:
positive
Step-by-step explanation:
even negatives = positive
whatever positives = positive
positive*positive = positive
Eidoskaijsizjzkxkxdkjajjsjeksjsii
Answer:
Yes, Yes, No, Yes
Step-by-step explanation:
Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!
Answer:
$1608.48
Step-by-step explanation:
A = P(1 + r/n)^nt
P: 1100 3: 3.8% / year n: 365/year t: 10 years
A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48
Please help!! Find the length of the radius of circle O.
Answer: 4.5 units
Step-by-step explanation:
OD and OC are both radii of the circle O. All radii of the same circle are equal. Thus,
[tex]6x+2=10x-16[/tex]
18=4x
x=4.5
Hope it helps :)
Which graph represents the solution to the system of inequalities?
{y<−4x+1
{y≥−14x
Answer:
1st graph on line 2
Step-by-step explanation:
I need help please!!!!
Answer:
A) intersecting, 1 solution
B) Same Line, infinite number of solutions.
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68
Answer:
C.16, 32, 38, 39, 41, 42, 58
and
E.18, 30, 34, 38, 43, 45, 68
its C. & E.
they both have outliers lol
Solve the inequality -2/9b>-12
Answer:
1/2
Step-by-step explanation:
For which line is the slope least?
an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park
Answer:
457
Step-by-step explanation:
value of 1556
explanion
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
5(-6 + 4)=..................
Answer:
-10
Step-by-step explanation:
5(-6 + 4)
=-30+20
=-10
Answer:
-10 or just 10 in general
Step-by-step explanation:
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
What is the solution to −6x−4≥−2(x−4) ?
x≤−3
x≥3
x≥2
x≤−1
Answer:
The correct answer is: Option 1: x≤-3
Step-by-step explanation:
Given inequality is:
[tex]-6x-4\geq -2(x-4)[/tex]
First of all, we will distribute -2 into the bracket
[tex]-6x-4\geq -2x+8[/tex]
Then we will add 4 on both sides
[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]
Adding 2x on both sides
[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]
Dividing both sides by 4
[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]
As there should be only x on the left side of the inequality we will multiply the inequality with -1.
Multiplying the inequality with -1 reverses the sign of inequality
So,
[tex]x \leq -3[/tex]
Hence,
The correct answer is: Option 1: x≤-3
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Shelley is visiting from London and uses her ATM card to withdraw $200 at local bank B. If local bank B charges $4 for ATM fees per foreign transaction plus 3% of the withdrawal, how much would she own in fees for what transaction? Round to the nearest dollar amount, such as: $6
$5
$4
$10
$7
Answer:
Transaction Fee = $10
Step-by-step explanation:
Transaction fee = $4 for ATM fees per foreign transaction + 3% of the withdrawal
Withdrawal = $200
3% of the withdrawal = 3/100 * $200 = $6
Transaction Fee = $4 + $6 = $10
what does 72 x ? = 300
Answer: 25/6
Step-by-step explanation:
Answer:
? = 4.1667
Step-by-step explanation:
300/72 = 4.1667
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
An integer can be positive, negative, or _____. opposite zero equivalent
Answer:
Zero is nor a positive or negative number, so im guessing the answer is 0.
Step-by-step explanation:
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer: 52
Step-by-step explanation: Friend me and yes that is right!