Answer: x = 2 , y = 5
Step-by-step explanation:
10x - 2y = 24 ..................... equation 1
6x + 2y = 8 ........................ equation 2
solving the system of linear equation by elimination method , add equation 1 and 2
16x = 32
divide through by 16
x = 2
substitute x = 2 into equation 1 to find the value of y
10(2) - 2y = 2y
20 - 2y = 2y
20 = 4y
y = 5
Car A and car B are traveling opposite directions st the same speed. Car A drove for 17 minutes and car B drove for 32 minutes. Car B drove 12 miles more than car A. How fast were the cars driving?
Answer:
48 mph
Step-by-step explanation:
Car B drove for 32 minutes. Car A drove for 17 minutes.
32 - 17 = 15
Car B drove for 15 minutes more than car A.
Car B drove 12 miles more than car A.
That means that in 15 minutes, car B drove 12 miles.
speed = distance/time
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = (12 miles)/(15 minutes)
speed = (12 miles)/(0.25 hour)
speed = 48 miles/hour
Answer: 48 mph
Rachael is working at Taco Bell. She gets paid $8.00 per hour she works. She works 12 hours per day, for 5 days per week. How much does she get paid in 1 week? How much does she get paid in 2 weeks?
Answer:
she will be paid $480 for one week and $960 for two
Step-by-step explanation:
let P = paycheck
let d = days
let h = hours
P = d (8*h)
P = 5(8*12)
P = $480
to find two weeks multiply week one by 2
Translate the followingame phrase into an algebraic expression using the variable w. Do not simplify.
The perimeter of a rectangle if the width is w centimeters and the length is 7 cm less than twice the width
Width = w cm
Length = 2w-7
What is the answer to this equation. -g+2(3+g)=-4(g+1)
Answer:
The answer to the given equation -g+2(3+g)=-4(g+1) is g=-2
Step-by-step explanation:
Given -g+2(3+g)=-4(g+1)
To solve the given equation :
-g+2(3+g)=-4(g+1)
Applying the distributive property we get
-g+2(3)+2(g)=-4(g)+(-4)(1)
-g+6+2g=-4g-4
g+6=-4g-4 ( adding the like terms )
g+6-(-4g-4)=-4g-4-(-4g-4)
Applying the distributive property we get
g+6-(-4g)-(-4)=-4g-4-(-4g)-(-4)
g+6+4g+4=-4g-4+4g+4
5g+10=0 ( adding the like terms )
5g+10-10=0-10
5g=-10 ( adding the like terms )
[tex]g=-\frac{10}{5}[/tex]
[tex]g=-2[/tex]
Therefore g=-2
The answer to the given equation -g+2(3+g)=-4(g+1) is g=-2
Which expression is equivalent to the one in the picture?
Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
[tex]\sqrt[n]{a^{m}}=a^{\frac{m}{n}}[/tex]
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
[tex]\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}[/tex]
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, [tex]\sqrt[4]{16}[/tex] = 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
[tex]2x^{\frac{15}{4}}y^{\frac{17}{4}}[/tex]
What is the solution for x in the equation -x + 3/7 = 2x - 25/7
Answer:
4/3
Step-by-step explanation:
-X + 3/7 = 2X - 25/7
2X + X = 3/7 + 25/7
3X = 28/7
3X = 4
X = 4/3
Answer:
4/3
Step-by-step explanation:
Giving brainliest again
Answer:
3. times 2 divided by 36
Answer:
L=6
Step-by-step explanation:
3 x 2= 6
36 divided by 6= 6
so L= 6
what is 3.5(2.25 + x)= 14
Answer:
x=1.75
Step-by-step explanation:
math question thanks!
Answer:
B C and E
Step-by-step explanation:
The easiest way to know if the graph was a function is the vertical line test
If you can draw a verticle line that interests the graph two or more times it is not a function and if you can't it is a function
For his coffee shop, Abdul wants to make a mocha-java blend that will sell for $18/kg. The mocha coffee beans sell for $20/kg, and the java coffee beans sell for $15/kg. How many kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend?
Answer:
Step-by-step explanation:
let
x = kg of mocha beans
y = kg of java beans
so
(1) x + y = 50
(2) 20x + 15y = 18(50)
solve by substitution (or whatever method you prefer):
(x, y) = (30, 20)
4085 divided by 43 with work
Does a parralelogram have equal sides
Answer:
A parallelogram has opposite sides parallel and equal in length.
Step-by-step explanation:
Hope this helps. :)
Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. What must the third segment be to be able to create a triangle?
Group of answer choices
15
14
16
12
Answer:
14
Step-by-step explanation:
Because to make a triangle, if two sides of the triangle is added and is equal to the third side then the triangle can be made.
In this case one side is 6 cm and the other is 8cm, if added its 14 cm and it will make a triangle
On a factory floor, 30 out of every 140 toy robots is defective. What percent is defective?
A. 60%
B. 2.67%
C. 0.6
D. 26.67%
Can you help me? Thanks!
Answer:
[tex]21.43\%[/tex]
Step-by-step explanation:
we know that
To find out the percent of robots which are defective, divided the number of defective robots by the total number of robots and multiply the result by 100
Let
x ----> the number of defective robots
y ----> the total number of robots
p ---> percentage of robots which are defective
so
[tex]p=\frac{x}{y} (100)[/tex]
we have
[tex]x=30\\y=140[/tex]
substitute
[tex]p=\frac{30}{140}(100)[/tex]
[tex]p=21.43\%[/tex]
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case. 1.5% syrup?
Answer:
Ella should add [tex]32\dfrac{5}{6}[/tex] lbs of water.
Total weight of syrup [tex]33\dfrac{1}{3}[/tex] lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:
[tex]\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}[/tex]
Cross multiply:
[tex]1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs[/tex]
Ella should add [tex]32\dfrac{5}{6}[/tex] lbs of water.
Total weight of syrup
[tex]32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs[/tex]
Answer:
Ella should add 32 5/6 lb of water, and she will have 33 1/3 lb of syrup.
Step-by-step explanation:
What is the answer to 6(4)
what is the domain of the relation (-2,4) (1,3) (0,-4) (3,2)
The domain of the given relation (-2,4), (1,3), (0,-4), (3,2) is the set of the first elements from each ordered pair, which results in the set {-2, 1, 0, 3}.
The question asks about the domain of a relation consisting of ordered pairs. A relation is a set of ordered pairs, and the domain of a relation is the set of all the first elements from each pair. In the given relation (-2,4), (1,3), (0,-4), (3,2), the domain comprises the first elements of each pair, which are -2, 1, 0, and 3. Therefore, the domain of this relation is the set {-2, 1, 0, 3}.
Round the following numbers and estimate the product 52.84x28
How do you eliminate the fractions on this to solve by elimination ????????
Answer:
Step-by-step explanation:
Good evening
Answer:
x = 6
y = 2
Step-by-step explanation:
Look at the photo below for the details.
:)
type the correct answer in the box
Answer:
216 cm^2.
Step-by-step explanation:
There are 6 faces on the prism . 3 pairs with the same area.
The surface area = 2*6*10 + 2 * 6*3 + 2*3*10
= 120 + 36 + 60
= 216 cm^2.
What times 24 equals -12?
Answer:
-1/2 or/also known as. -0.5
Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3. Show your work. Please help ASAP!!
Answer:
The simplified expression to the given expression is [tex]\frac{4x^6}{y^2}[/tex]
Therefore [tex]\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}[/tex]
Step-by-step explanation:
Given fractional expression is [tex]\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}[/tex]
To simplify the given expression as below :
[tex]\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}[/tex]
[tex]=\frac{2(2x^3y^4)^4}{(2x^2y^6)^3}[/tex]
[tex]=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}[/tex] ( using the property [tex](a^m)^n=a^{mn}[/tex])
[tex]=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}[/tex]
[tex]=2[(2)^4(x^{12})(y^{16})](2)^{-3}(x^{-6})(y^{-18})[/tex] ( ( using the property [tex]a^m=\frac{1}{a^{-m}}[/tex] )
[tex]=2[2^{4-3}x^{12-6}y^{16-18}][/tex]( using the property [tex]a^m.a^n=a^{m+n}[/tex] )
[tex]=2[2^1x^6y^{-2}][/tex]
[tex]=\frac{4x^6}{y^2}[/tex] ( using the property [tex]a^m=\frac{1}{a^{-m}}[/tex] )
Therefore the simplified expression is [tex]\frac{4x^6}{y^2}[/tex]
Therefore [tex]\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}[/tex]
Which of these is True. When any given number greater than 0 is multiplied by a fraction greater than 1.
A. The product is always greater then the given number
B. The product is always less than the given number
C. The product is sometimes less than the given number
D. The product is sometimes greater then the given number
When any given number greater than 0 is multiplied by a fraction greater than 1 Option 1 the product is always greater than the given number.
What is a fraction in math?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
What are the 3 types of fraction?In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator.
What happens when any given number greater than 0 is multiplied by a fraction greater than 1?If any given number greater than 0 is multiplied by a fraction greater than 1 then the product is always greater than the given number.
The product is always greater than the given number because the top of the fraction i.e., the numerator is already greater than the bottom of the fraction i.e., denominator which results in a greater product than the given number.
For example, let us consider that the given number is 5 and the fraction is 6/5. So, if we multiply it together then we will get 6 as a result which is greater than the given number.
Hence, the product is always greater than the given number.
To learn more about fraction refer to:
https://brainly.com/question/1622425
#SPJ2
Ethan needs to save at least $500 to purchase a new dirt bike. So far, he has saved $175. If he hopes to use two-fifths of his next paycheck to cover the remaining amount, how much money must he make in his paycheck
Answer:
$812.5
Step-by-step explanation:
Given: Ethan need to save at least $500.
He has saved so far $175
Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.
Lets assume Ethan´s paycheck amount be "x"
First finding the remaining amount to be covered.
Remaining amount= [tex]\$ 500 - \$ 175= \$ 325[/tex]
∴ The remaining amount to be covered is $325.
As given, Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.
Now, using the inequality to find the amount of paycheck.
⇒ [tex]x\times \frac{2}{5} \geq \$ 325[/tex]
multiplying both side by 5
⇒ [tex]x\times 2\geq 325\times 5[/tex]
divinding both side 2
⇒ [tex]x\geq \frac{1625}{2}[/tex]
∴ [tex]x\geq \$ 812.5[/tex]
Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.
If r = −6, s = −2, and t = −3 then evaluate –t(r – s).
Answer:
3(-6 + 2) = -12
Step-by-step explanation:
If a negative is multiplied by another negative we will have a positive, t is -3 and when a negative is in the way the equation is now 3(r - s).
S is - 2 with the negative in the way its now 3(r + 2) ad last r = -6 with no negative in the way the equation is now 3(-6 + 2) which equals 12.
Hope it helps.
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Ada's lunch costs $14.32. She hands the cashier $20.
About how much change will Ada receive?
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving the theater Tommy walks to the store at (6, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
He walks 28 blocks.
Step-by-step explanation:
0,0 to 0,8 is 8 blocks
0,8 to 6,8 is 6 blocks
6,8 to 6,0 is 8 blocks
returning home (6,0 to 0,0) is 6 blocks
8+6+8+6=28 blocks
Consider the function f(x)=−2/3x+5 .
What is f(5/2) ?
recently 5/8 of the items sold at Debbies Sporting Good were baseball caps. at Sasha Sports 7/10 of the items sold were baseball caps which store sold a greater fraction of baseball caps?
Answer:
7/10 is the larger fraction
Step-by-step explanation:
use cross multiplication
which fraction has the largest number above it.
8 x 7 = 56
5 x 10 = 50
you could also use a common denominator such as 40
5/8 = x/40
25/40
7/10 = x/40
28/40
28>25 so 7/10 is larger
solving algebra 8(2f-3)=4(4f-8)
Answer:
no solution
Step-by-step explanation:
8(2f-3)=4(4f-8)
16f-24=16f-32
16f=16f-8
0=-8
Answer:
No solution
Step-by-step explanation:
8(2f-3)=4(4f-8)
16f-24=16f-32
8=0f