Step-by-step explanation:
5x-2y=10
x-y=-1
Addition method
multiply the second equation by -2 and add it to the first one
5x-2y=10
-2x+2y=2
Total 3x=12
Divide by sides by 3
x=4
Now multiply the second equation by -5 and add it to the first one
5x-2y=10
-5x+5y=5
3y=15
Divide both sides by 3
y=5
Solutions are x=4 and y=5
2nd method
if x-y=-1, so x=y-1
bring the value of x in the first equation
5(y-1)-2y=10
5y-5-2y=10
put the similar term together
3y=15
Divide both sides by 3
y=5
now bring the value of y in one of the equation
x-y=-1
so x-(5)=-1
x=-1+5
x=4
Solutions are x=4; y=5
Complete the following equation <, >, or = 3.20_ 3.02
Answer:
Step-by-step explanation:
3.20 ___ 3.02 A.
The following equation 3.20 > 3.02
Answer:
(>) This is your answer ☺️☺️☺️
please help me to find
Answer:
2/3
Step-by-step explanation:
10/15 = 2/3
15/24 = 2/3
Simplify the polynomials. : 27. 97 + 47+ n
Answer:
74.97+n
Step-by-step explanation:
We need to simplify the given polynomial i.e.
27.97 + 47+ n
Here, n is a constant number
Firstly we add 27.97 and 47 such that,
27.97 + 47+ n = 74.97+n
Hence, the simplified form is 74.97+n.
What is the degree of the polynomial below?
x ^6 +3 - 2x^2 + 4x^7 - 4x
O A. 7
O B. 6
C. 5
D. 4
These word questions confuses me, can someone explain this step by step
Answer:
[tex]10\pi \: cm[/tex]
Step-by-step explanation:
Please mark as brainliest
Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?
Answer: 35%
Step-by-step explanation:
Given
Weight measured by Leo [tex]W_1=27\ pounds[/tex]
Weight measured by the clerk [tex]W_2=20\ pounds[/tex]
Percentage error is
[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]
what is the surface area of the image below?
Answer:
Total Surface Area = 24.887864491364 inches^2
itz pretty ez unless ur lazy tho
Greg sells cars. He makes a base salary of
$350, plus $734 per car he sells. Write a
function that models this situation. (y = mx +
b)
Answer: y = 734x + 350
Step-by-step explanation:
y = mx + b
let x be the number of cars he sells, then:
y = 734x + 350
What’s smaller... 1.6 or 1.12 ?
Answer:
1.12
Step-by-step explanation:
1.6 1.12
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
I’m giving 30 points please help
Answer:
Triangle A
Step-by-step explanation:
Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.
PLZZZ HELP 25 POINTS HERE PLZZZ HELP
Answer:
Step-by-step explanation:
The first one is a wide U above the X axis.
The second one is an upside down U below the X axis.
The third one is a narrow U above the X axis.
The center of the U should always be the origin.
Answer:
Step-by-step explanation:
.necesito resolver estas operaciones con factorial ayuda por favor
- A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
2. (6ǃ-4ǃ)/2ǃ
2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
R = 10ǃx8ǃ/(6ǃ+5ǃ)
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Answer:
A. 4
B. 348
C. 2
D. 174182400
E. x = 2
Step-by-step explanation:
Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)
B = (6ǃ-4ǃ)/2ǃ
C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)
D = 10ǃx8ǃ/(6ǃ+5ǃ)
E - ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
Proof -
A.
(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]
= 2! [ 4×3 + 1 + 3] / 2! [3 + 1]
= [12 + 1 + 3] / [4]
= [16] / [4] = 4
⇒(4! + 2! + 3! )/ (3! + 2!) = 4
B.
(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!
= 4! [6×5 - 1] / 2!
= 4×3×2! [ 30 - 1] / 2!
= 12 [29] = 348
⇒(6ǃ-4ǃ)/2ǃ = 348
C.
2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]
= 2!×3!×4! / 4! [ 5 + 1]
= (2×1) × (3×2×1) / 6
= 12 / 6 = 2
⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2
D.
10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]
= (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]
= (10×9×8×7×6×5×4×3×2×1) ×(8×6)
= 174182400
⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400
E.
((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ
[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!
[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)! [ (x+4)+ 1] = 6!
[(x+5)(x+4)(x+3)! / ( [ x+ 5 ] = 6!
(x+4)(x+3)! = 6!
(x+4)! = 6!
x+ 4 = 6
x = 6 - 4
x = 2
Note :
x! = x(x-1)(x-2).......(4)(3)(2)(1)
Someone please help me!!!!!
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe drink in 3 weeks? (round to nearest whole number for answer, there are 2 steps to this problem first set up proportion)
Answer:
8gallons
Step-by-step explanation:
If Joe drinks 10 liters of water every week, then;
10liters = 1 week
After 3weeks;
x litres =3 weeks
Divide both expressions
10/x = 1/3
x = 3*10
x = 30litres
This means he consumes 30litres in 3 weeks
If there are approximately 19 liters in 5 gallons, the;
19litres = 5gallons
To determine the number of gallons consumed in 3 weeks;
30litres = y
Divide both expressions
19/30 = 5/y
Cross multiply
19 * y = 30*5
19y = 150
y = 150/19
y = 7.89
y ≈ 8 (to nearest whole number)
Hence Joe drinks 8gallons of water in 3weeks
I need help can some one help me
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
you have to see what leangth matches
I cant seem to figure this out. Help
Answer:
108 cm^2
Step-by-step explanation:
This solid is a triangular prism.
The total surface area is made up of the area of 5 faces.
The front and rear faces are called the bases and are two congruent triangles.
The other three faces are three rectangles and form the lateral area.
SA = area of bases + lateral area
The area of the bases is 2 times the area of a triangle.
The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.
SA = 2 * bh/2 + PH
where
b = base of triangular base,
h = height if triangular base,
P = perimeter of the base, and
H = height of the prism
SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)
SA = 12 cm^2 + 96 cm^2
SA = 108 cm^2
Simmons and Magda do push-ups for exercise. Simmons does 42 push-ups in 360 s. Magda does 24 push-ups in 3 min. Who does push-ups at a faster rate? *
Answer:
magda
Step-by-step explanation:
simmon
360 second to minutes
360 ÷ 60 = 6 minutes
push up per minute
42÷ 6 = 7
madge
3 minutes
push up per minute
24 ÷ 3 = 8
24m-²n x 1/4mn
please need help
Answer:√ 25
log
13 ( 28 )
√ 75
Step-by-step explanation:
Help plz :)
Determine the measure of each unknown angle using the diagram.
Please please please help *URGENT*
Answer:
1 = Communative property of addition
2 = distribution property
3 = Associative property of multiplacation
4 = Communative property of multiplacation
5 = Associative property of addition
Hope this helps! :) Please Ignore my bad spelling
Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!
20 Points for 4 questions. BRAINLIEST also
Answer:
Image #1: -8 and 8
Image #2: -17 and -1
Image #3: 8 and 4
Image #4: -10±5√2
Graph a line that goes through (0, -2) and grows by 4
Divide £2680 in the ratio 5:3:2.
Answer:
Step-by-step explanation:
1) find the total of the ratio parts
5 + 3 + 2 = 10 parts in total
2) divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 * 268 = 1340
3 * 268 = 804
2 *268 = 536
The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively
What are ratios and proportions?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.
Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.
The number will be distributed as below:-
5 + 3 + 2 = 10 parts in total
Divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 x 268 = 1340
3 x 268 = 804
2 x 268 = 536
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
Evaluate the following expression:
62 - 7(8 + 6 – 3²)
ANSWER STAT!!
Answer:
27
Step-by-step explanation:
A jet, cruising at 26,400 feet, begins its descent into JFK Airport, when it is 96 miles away. Another jet, cruising at 31,680 feet, is 120 miles from JFK when it begins its descent. Which of these two paths of descent is steeper? Is a linear model reasonable to use in this situation? Explain.
9514 1404 393
Answer:
first jet is steeper; not unreasonable
Step-by-step explanation:
The slopes in feet per mile for the two jets are ...
(26,400 ft)/(96 mi) = 275 ft/mi
(31,680 ft)/(120 mi) = 264 ft/mi
The descent of the first jet is steeper.
__
The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.
Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.
_____
Additional comment
Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
If 20 buckets of sand are used, how many buckets of EACH of the following will be needed?
Buckets of cement needed is 5 and sand needed is 20
Solution:
Given that Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1 : 4 : 6
cement : sand : gravel = 1 : 4 : 6
Let the cement needed be "1x"
Let the sand needed be "4x"
Let the gravel needed be "6x"
Given that 20 buckets of sand used
4x = 20
x = 5
Thus buckets of cement needed = 1x = 1(5) = 5
Buckets of sand needed = 4x = 4(5) = 20
5 buckets of cement and 20 buckets of sand are needed
pls help :D
i know how to do this but still
Answer:
x = 12
Step-by-step explanation:
[tex]3x-19=\frac{7}{4} x-4\\\\3x-\frac{7}{4} x=-4+19\\\\\frac{5}{4} x=15\\\\x=12[/tex]
Find the surface area of the prism
slated surface
17 × 20 = 340
2 triangle sides
2 × 8 × 15 ÷ 2 = 120
backside
8 × 20 = 160
bottom
15 × 20 = 300
sum all of it
340 + 120 + 160 + 300 = 920
can I get brainliest