Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
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The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm
Answer:
the height is 2.5 cm
Step-by-step explanation:
The computation of the height of the triangular section is shown below:
As we know that
Volume = One-half × base × height
35 = One-half × 4 × height × 7
So, the height is 2.5 cm
Answer:
Height = 2.5cm
Step-by-step explanation:
Volume = Base(b) x Height(h) x Length(l) / 2
Substitute the information that you have into the equation
Volume = 4 x Height(h) x 7 / 2
Height = 4x7 / 2
= 14cm
35 / 14
= 2.5cm
Find the measure of < FGE.
please provide step by step equation
Answer: 62 degrees
Step-by-step explanation:
.130-180=50
.16x+4+14x+6+50=180
.180-4-6-50=120
.16x+14x=120
.30x=120
.x=4
.14(4)+6
.56+6
.62
X =(5x - 10)
130°
Find x
Answer:
Step-by-step explanation:
5x-10 = 180-130
5x-10 = 50
5x = 60
x = 12°
Please help, I'm in trouble for not doing my homework, this is missing btw. First correct answer gets brainlist!!!!!
Answer:
I think the answer is A........
Can someone please answer?
Answer:
Volume = 803.84 cubic inches
Step-by-step explanation:
Volume = πr²h
= 3.14 x 8 x 8 x 4
= 3.14 x 256
= 803.84 cubic inches
ABC is reflected over the y-axis what are the vertices of A'B'C'
Please help this is for my final
Answer: It is D
Step-by-step explanation: its is the placement Pretty basic.
Answer: D
Step-by-step explanation:
ap3x verified!!!
pleaseeeee help for 10points !
Answer:
-3/2
Step-by-step explanation:
Because 3 is on the postive side and 2 is on the negative
Answer:
3/2
Step-by-step explanation:
Determine all of the roots of the polynomial P(x) = x3 - 8x2 - 8x + 24.
Answer: (x^2−10x+12)(x+2)
Step-by-step explanation:
Factor x^3−8x^2-8x+24 using Polynomial Division
A local florist has roses $35 per dozen.
You only want to buy 1.
How much will it cost you?
Answer:
$2.92
Step-by-step explanation:
35/12 = 2.91666666667
1 rose = 2.91666666667 = $2.92
what ratios is equivalent to 6/7
Answer:
6:7
12:14
24:28
Step-by-step explanation:
The beginner ratio is 6:7 to find new equal ratios we just multiply both numbers by a number. In those, each of them is multiplied by two. You can multiply it by any number as long as you keep the 6's answer in the 6's spot and same for 7 & that you multiply both sides and not just one.
In a certain colony of bacteria each divides into two every hour. How many will be produced from a single bacillus if the rate of division continues for 4 hours
Answer:
16
Step-by-step explanation:
The number of bacteria in 4 hours = number of bacteria that divides in one hour ^ total number of hours
2^4 = 16
You are planning a trip of 900 miles. Your car gets about 21 mpg. Gasoline costs $1.59 per gallon. How much should you budget for gas on this trip? Round answer to the nearest ten (10)
Answer:
$64.3
Step-by-step explanation:
Given the following
Total distance = 900miles
Rate per gallon = 21miles per gallon
rate = distance/time
Get the number of gallons used;
Number of gallons used = 900/21
Number of gallons = 42.857gallons
If coost of 1 gallon is $1.50
42.857gallons will cost 42.857 * 1.50
42.857gallons will cost $64.3
Hence he should budget $64.3 for the trip
Eight times a number increased by 4 times the number is less than 36.What is the number?
Answer:
1 or 2
Step-by-step explanation:
8x + 4x < 36
the number x could either be 1 or 2
A sports store has 468 golf balls. They will be put into boxes that hold 18 balls each. What is the minimum number of boxes needed for all of the golf balls?
The minimum number of boxes needed for all of the golf balls is 26.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of golf balls = 468
Number of golf balls in one box = 18
The number of boxes.
= 468 ÷ 18
= 468/18
= 26
Thus,
The number of boxes needed is 26.
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i’m a little confused on this can someone explain to me please
Answer:
the answer is 48, try using this site called mat- way
Step-by-step explanation:
Write all the factors of 49.
Use commas to separate them.
X х
Answer:
1, 7, and 49.
Step-by-step explanation:
If the complement of an angle is 79 degree , then the angle will be of .............measures
Answer:
11°
Step-by-step explanation:
90°-79°
=11°
Hope it helps
Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units
Answer:
42 cubic units
Step-by-step explanation:
7 x 3 x 2 = 21 x 2 = 42
HELP ME PLASE IM BEGGING YOU
Answer:
5x+4
Step-by-step explanation:
(7x+1)-(2x-3)
Remove parentheses
=7x+1-(2x-3)
=7x+1-2x+3
Simplify
7x+1-2x+3=5x+4
what is
x - 18 = -2 ?
x = 16
Step-by-step explanation:
x-18 = -2
x = -2+18
x = 18-2
x = 16
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
Step-by-step explanation
….
Answer: 0.9
Step-by-step explanation:
which is better 9.95 for 30oz of coffee or 3.50 for 12oz of coffee
Answer:
9.95 for 30oz
Step-by-step explanation:
30/9.95 = 3.02
12/3.5 = 3.43
Yassar has purchased a $30,000 car for his business. The car depreciates at 30%
every year. {Depreciation means the value of the car decreases by that percent each
year).Calculate the value of the car to the nearest cent at the end of the 5th
year.
A. $5,042.10
B. $111.387.90
C. $21.000.00
D. $39,346.85
Answer:
A
Step-by-step explanation:
30% of 30000 is 9000, 30000-9000=21000 (1 year)
30% of 21000 is 6300, 21000-6300=14700 (2 years)
30% of 14700 is 4410, 14700-4410= 10290 (3 years)
30% of 10290 is 3087, 10290-3097= 7203 (4 years)
30% of 7203 is 2160.9, 7203-2160.9= 5042.1 (5 years)
PLEASE HELP FIND THE SUM OF THE FUNCTION ON THE GRAPH!! Easy and Quick.
how many powers with an exponent of 2 are there between 1 and 100?
There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.
What is Number system?A number system is defined as a system of writing to express numbers.
Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.
We need to count the number of perfect squares between 1 and 100. These include:
1² = 1
2² = 4
3²= 9
4² = 16
5² = 25
6² = 36
7²= 49
8² = 64
9² = 81
10² = 100
So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.
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Triangle ABC is similar to triangle XYZ solve for t?
Answer:
t = 6.5
Step-by-step explanation:
This is a Khan question
14. A red dress priced at Php 550.00 is marked 15% off. How much will be the discount?
a. P 82.50
b. P 8.50
c. P 825
d. P 85
Answer:
the answer for the discount is A. P 82.50
PLS HELP ASAP! GIVING BRAINLIST!
Answer: 5[tex]\sqrt{11}[/tex]
Step-by-step explanation:
25*11=275
[tex]\sqrt{25}\sqrt{11}[/tex]
25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5
what is 5x to the 6 power
Answer:
25-60+36
Step-by-step explanation:
Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?
Step-by-step explanation:
5 360
8 x
5x=360•8
x=576miles