Is it possible to solve the following system by using substitution? Which method, substitution or elimination is more efficient? Complete the explanation.
braceleftze 3x − 2y = 11
x + 2y = 25
possible to use substitution. Solve the second equation for x to get x =
y + 25. Substitute x in the first equation and solve for y. Then substitute this value for y in either original equation to get a solution of (
). The elimination method is
efficient because there are
calculations and they are
to do.
Answers
Answer: x = 5.5 and y = 2.75
Related Questions
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms.
a. the mass of a empty basket is ___
b. explain your answer (in short)
please help
Answers
Answer:
mass of empty basket: 1.21 kg
Explanation:
the mass of basket is constant. Let the mass of basket be "b" and mass of each balls be "m"
Make equations:
b + 3(m) = 3.64 ___ equation 1b + 5(m) = 5.26 ___ equation 2solve them simultaneously,
3.64 - 3(m) = 5.26 - 5(m)-3(m) + 5(m) = 5.26 - 3.642(m) = 1.62m = 0.81 kgmass of basket,
b = 3.64 - 3(m)3.64 - 3(0.81 )1.21 kgNow
x+3y=3.64=>x=3.64-3y--(1)x+5y=5.26=>x=5.26-5ySo
3.64-3y=5.26-5y-3y+5y=5.26-3.642y=1.62y=0.81kgSo
x=3.64-3(0.81)=3.64-2.43=1.21kgIt costs $100 to join a fitness center, plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.
Answers
Answer:
Monthly fee is $50
Step-by-step explanation:
100 + 12x = 700
12x = 600
x = 50
100 being the initial fee, 12x being the monthly fee (as there is 12 months in a year).
ONLY answer if you know what the answer is. If you are not sure DONT FREAKING ANSWER.
Answers
Answer:
5 = |-5|
Step-by-step explanation:
Think of it as a number line, like in the picture below. The absolute value is how far a number is from zero (0). If 5 is 5 away from zero, then the opposite of 5 (-5) is also 5 away from zero.
Refer to the picture below for an illustration:
Answer:
Equal to.
Step-by-step explanation:
5 is the absolute value of -5. The bars you see indicate that you are trying to find the absolute value.
----------------------------------------------------------------------------------------------------------
The absolute value is the distance of that number from 0. The absolute value is always positive.
----------------------------------------------------------------------------------------------------------
|-5|= 5. If the bars were not there, then it would be [tex]5 > -5\\[/tex]. If the two terms were flipped, it would be [tex]-5 < 5[/tex]. But because the bars are there, it is resembling the absolute value.
----------------------------------------------------------------------------------------------------------
Here are a few more examples to help you understand:
|6| The absolute value of 6 is 6. It is 6 values away from 0.
|-1| The absolute value of -1 is 1. It is 1 value away from 0.
|-10| The absolute value of -10 is 10. It is 10 values away from 0.
|98| The absolute value of 98 is 98. It is 98 values away from 0.
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Calculate the snow load for the low-slop (flat) roof. For this structure, we will use the following coefficients. Cs = 1.0 Ce = 1.0 Ct = 1.0 Is = 1.1 Pg = 25
Answers
Answer:
The width of member is as follows:
b = 3 ft
b = 3 × 12 in.
b= 36 in.
The depth of member is as follows:
d = 8 ft
d = 8 × 12 in.
d=96 in.
Since the structure used is Douglas fir-Larch lumber of size 3 × 8 size. Hence, tensile strength, f =1000 psi
Calculate the net area of the member as follows:
A = (b - ∅) × d
A= (36 - 7/8) × 96
[tex]A = 3372in^{2}[/tex]
Calculate the maximum axial tensile load by ASD method as follows:
P = f × A
P = 1000 x 3372
P = 3372000 lbs
P = 3372 kips
U4H1. Please help with this homework assignment- question is in the picture below:
Answers
Answer:
Step-by-step explanation:
I'll the diagram of the this question
Please Someone help!!!!!! Due in 28 minutes!!
Answers
help ASAP pls BUT only answer if you know it's correct
Answers
At a pizzeria one day, 12 of the pizzas sold were topped with mushrooms. This represented 15% of all the pizzas sold that day. What was the total number of pizzas sold that day?
Record your answer in the grid. Be sure to use the correct place value.
Answers
Answer:
80
Step-by-step explanation:
So, let's say the total number of pizzas is x
If 15% of x, the total, is 12, then x * 0.15 must = 12
Use this to make an equation
12 = 0.15x
Divide both sides by 0.15 to get x on its own
12 / 0.15 = x0.15 / 0.15
80 = x
80 pizzas were sold
Geometry help ASAP please BRAINLIEST FASTEST PERSON (4 questions)
Answers
Answer:
that is a tough one ;1000
Step-by-step explanation:
all that is to it
Jada spent 2% of the amount in her checking account on her cell phone bill. The bill was $60. How much money was in the account before paying her cell phone bill?
$3,000
$30
$1,200
$120
Answers
Answer:
3000
Step-by-step explanation:
2% of 3000 is sixty
hope that helps
Graph the image of △UVW after a reflection over the line y=-x
Will give brainliest if correct!
Answers
Answer:
Step-by-step explanation:
Rule: (x, y) → (-y, -x)
This means that the x, will now become y, and the y will now become x.
U (-7, -4) → (4, 7)
V (1, -4) → (4, -1)
W (-5, -9) → (9, 5)
U' (4, 7)
V' (4, -1)
W' (9, 5)
*View the attached graph*
Yellow is the original figurePurple is the figure after a reflection over the line y=-xHope this helps!
A statistician takes several random surveys, each of 50
middle school students, to determine the favorite pizza topping of middle school students. The table shows the mean results from all the surveys.
extra cheese 13
pepperoni 17
pineapple 8
sausage 5
vegetables 7
Which statement is a valid inference that can be made based on the data collected?
1) On average, about 50% of students prefer either extra cheese or pepperoni.
2) On average, about 10% of students prefer sausage.
3)On average, 1/3 of students prefer either pepperoni or pineapple.
4)On average, 1/4 of students prefer either pineapple or vegetables.
Answers
Answer:
fROM what I am looking at it is four
Step-by-step explanation:
Find the perimeter and area of the shaded figure below.
Answers
Answer:
10 units for the perimeter
6 square units for the Area
Step-by-step explanation:
May I get brainlest if I get this right.
Answer: Perimeter is 10
Area is 6
Step-by-step explanation:
add all the squares around the blue squares for perimeter
Add the blue squares for area
The area of the shaded face is 96 square centimeters.
What is the volume of the rectangular prism?
Answers
Answer:
I think the answer will be 32,768 cubic units..
Step-by-step explanation:
The volume formula is length times width times height and you say that the area of the shaded face is 96 square cm is better we divide
96/3 =32
So, we took the colume formula like this:
V= L x W x H
= 32 x 32 x 32
= 1,024 x 32
= 32,768 cubic units
A fifth grade class collected data about the number of chapters that students read in one week. Their teacher asked them to read a chapter every school day. How many students met or exceeded the goal?
3
5
8
4
Answers
Answer:
your answer is 8
Step-by-step explanation:
Since there is 5 school days in a week you will count all the X,s 5 and above.
HOPE THIS HELPSSSS AND HAVE A GREAT DAY :)
Answer:
8 students met or exceeded the goal
Step-by-step explanation:
There are 5 school days in one week meaning they would have to read a minimum of 5 chapters per week and out of the 12 students listed in the graph, only 4 students did not reach the required amount leaving 8 students who did.
A box has p sheets of writing paper and two-thirds as many envelopes. If there are a total of 500 sheets of paper and envelopes together, how many envelopes are there?
Answers
Answer:
333.3333 repeating
Step-by-step explanation:
Divide 500 by 3 then multiply the answer by 2.
What is your experimental probability for rolling at least one “1” when rolling two dice? SHOW YOUR WORK please(:
Answers
With one dice the chance of rolling a one is 1/6.
With two you have twice the probability, so its 1/3.
This is because there are 6 sides on a dice.
Please mark brainliest if this helped!
Answer:
The probability of rolling at least one 1 is 1/3
Step-by-step explanation:
When there is one dice the probability of rolling a '1' is 1/6
When you roll two dice, the probability of rolling a '1' increases, making it a 1/3 of rolling a one.
-I hope this helps!
Two fifths of the 40 students earned an A, what percent of the students earned an A
Answers
Answer:
40%
Step-by-step explanation:
2/5 = 0.4 or 40% (2 x 2 = 4, 5 x 5 = 10)
Therefore 40% of the students earned an A.
A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units? Select all that apply.
(A) 3 feet by 4 feet by 5 feet
(B) 3 feet by 3 feet by 5 feet
(C) 3 feet by 5 feet by 6 feet
(D) 3 feet by 2 feet by 10 feet
(E) 3 feet by 2 feet by 15 feet
Answers
Answer:
it's A, 3 feet by 4 feet by 5 feet
Which answer choice is a solution to the inequality "-13<4x+7"
A. 17
B.-5
C.-24
D. -21
Answers
Step-by-step explanation:
-13-7<-4x
-20<-4x
-4. -4
x=5
answer= B = -5
Answer:
B. -5
Step-by-step explanation:
-13 < 4x + 7
- 7 - 7
-20 < 4x
/4 /4
-5 < x
Also written as x > -5
Hope this helps!
Angela uses 7 1/2 inches each of 6 different colors of embroidery floss to make one friendship. Each package of the floss contains 26 feet. How many friendship bracelets can Angela make if she has one package of each color?
Answers
Answer:
She can make 41 bracelets!:D
Answer: сдхдкссахкайсефдуехф84
Step-by-step explanation:
brainliest only if its right
Answers
Answer:
1.2 cm
Step-by-step explanation:
3/5, in decimal form, is 0.6.
You find the diameter by multiplying the radius by 2.
0.6 * 2 = 1.2
Answer:
1 1/5 or 1.2
Step-by-step explanation:
You multiply the radius (the number in the picture) by two, because the diameter is twice the radius
hope that helps
1. How many ounces of nuts are there in a box that holds 3.2 pounds.
A. 0.2oz
B. 5.12
C.20oz
D.51.2oz
2.The ratio of wins to loses of basketball team is 2:3. Which of the following is a possible total number of games.
Answers
Answer:
D. 51.2 oz
Step-by-step explanation:
Since there are 16 ounces in one pound, multiply 3.2 by 16 to get the answer, 51.2. I can't see the choices for the second question so can't help with that one.
Hopefully this helps- let me know if you have any questions!
Answer:
D. 51.2oz
Step-by-step explanation:
1 pound = 16 oz
3.2 * 16
51.2 oz
Hope this helps!
can u pls help me with this
Answers
+10/7≠ -7/4
brainliest?????????????
Answers
Answer:
7.71 ft
Step-by-step explanation:
3.14x3=9.42
1/2 of 9.42=4.71
4.71+3=7.71 ft
Answer:
7.71 ft
Step-by-step explanation:
100 POINTS
A cone has a slant height of 7.5cm and a radius of 4.5 cm. What is the volume of the cone?
Answers
Now
volume:-
1/3πr²h1/3π(4.5)²(6)π(20.25)(2)40.5πcm³Answer:
Volume of cone = 127.17 cm³Step-by-step explanation:
In the question we are given ,
Slant height = 7.5 cmRadius = 4.5 cmAnd we are asked to find the volume of cone. We know that ,
[tex] \red{\boxed{ \rm{Volume \: of \: cone = \frac{1}{3} \pi r {}^{2}h }}}[/tex]
Where ,
π = 3.14r = 4.5 cmh = Not givenSo , for finding volume of cone we must have to find the height of cone using slant height formula i.e. ,
[tex] \green{\boxed{ \sf{l {}^{2} = h {}^{2} + r {}^{2} }}}[/tex]
Where ,
l = slant heighth = heightr = radiusNow , substituting values :
[tex] \hookrightarrow \: 7.5 {}^{2} = h {}^{2} + 4.5 {}^{2} [/tex]
Transposing 4.5 to left hand side :
[tex] \hookrightarrow \: 7.5 {}^{2} - 4.5 {}^{2} = h {}^{2} [/tex]
[tex] \hookrightarrow \:56.25 - 20.25 = h {}^{2} [/tex]
On further calculations we get :
[tex] \hookrightarrow \:h {}^{2} = 36[/tex]
[tex] \hookrightarrow \:h = \sqrt{36} [/tex]
We know that 6 × 6 is equal to 36 that means square root of 36 is 6 . So :
[tex] \hookrightarrow \pink{\boxed{\bold{h = 6 \: cm}}}[/tex]
Therefore, height of cylinder is 6 cm .Now finding volume :Substituting values in volume formula :
[tex] \longrightarrow\: \frac{1}{ \cancel{3} } \times 3.14 \times (4.5) {}^{2} \times \cancel{6}[/tex]
Step 1 : By cancelling 6 with 3 we get :
[tex] \longrightarrow \: 3.14 \times 20.25 \times 2[/tex]
Step 2 : Multiplying 20.25 with 2 :
[tex] \longrightarrow \:3.14 \times 40.50[/tex]
Step 3 : Multiplying 3.14 with 40.50 :
[tex] \longrightarrow \: \purple{\boxed{\bold{127.17 \: cm {}^{3} }}}[/tex]
Therefore, volume of cone is 127.17 cm³ .#Keep LearningA sheet of 8-inch by 10-inch paper is placed on top of a sheet of 8 1/2-inch by 11-inch paper, as shown. What is the area of the region of overlap in square inches?
Answers
Answer:
68 inches
Step-by-step explanation:
8 • 8.5= 68
A customer must choose a color of wrapping paper and gift box type for gift wrapping at a store. The table shows the customer’s options.
Wrapping Paper Color
red (R)
silver (S)
yellow (Y)
Gift Box Type
regular (G)
premium (P)
Which list shows the complete sample space of choosing a wrapping paper color and gift box for the gift?
A)GR, GS, GP, GY
B)PG, PR, PS, PY
C)RG, RP, RS, SG, SP, YG, YP, YR, YS
D)RG, RP, SG, SP, YG, YP
Answers
Answer:
The answer is D
Step-by-step explanation:
Red-Regular
Red - Premium
Silver-regular
Silver-premium
Yellow-regular
Yellow-Premium.
This all shows the space of choosing the color and gift box for the gift.
Because of the description.
If this answer is right pls give brainlest.
You’ll match each wrapping color paper to a gift box type once. Meaning,
Red (R) - regular (G)
Red (R) - premium (P)
Silver (S) - regular (G)
Silver (S) - premium (P)
Yellow (Y) - regular (G)
Yellow (Y) - premium (P)
can someone please help me and explain
Answers
Answer:
160
Step-by-step explanation:
Area of base x height
Area of base= 15x3=45
45 x height= 45 x 4
45 x 4= 180
AHHHHH NEED HELP FAST AGAIN!!!!!!
Answers
Answer:
2/3*4/3= 8/9
Step-by-step explanation:
since the denonmeteres are the same you still multiply the 3's and the 2 and 4 and you get 8/9
since 8/9 can't be simplied it stays the same