Answer:
27
Step-by-step explanation:
One fifth of a number is equal to triple that number less 28.
Let the unknown number be x. Write this word problem as an equation using the variable x.
Answer:
x=10
Step-by-step explanation:
x=(3x-28)5
-14x=-140
x=10
3x+2y=8
5x+2y=12
what is the solution of the system of equations shown above?
The value of x=2 and y=1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+2y=8
5x+2y=12
Now, solving both using method of Elimination Method
3x - 5x = 8-12
-2x= -4
x = -4/ -2
x= 2
and, 3x+ 2y = 8
3(2) + 2y = 8
6 + 2y = 8
2y = 8-6
2y = 2
y = 2/2
y= 1
Hence, the value of x=2 and y=1.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ6
{(-15, 3), (-5, 1), (0, 0), (10, -2)}
Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!
Answer:
[tex]k = -\frac{1}{5}[/tex] -- Constant
[tex]y = -\frac{x}{5}[/tex] -- Equation
Step-by-step explanation:
Given
[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]
Solving (a): The constant of variation
The given parameter is of the form (x,y) and the variation constant is calculated using:
[tex]k = \frac{y}{x}[/tex]
For:(-15,3), k is calculated as
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{3}{-15}[/tex]
[tex]k = -\frac{1}{5}[/tex]
For (-5,1)
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{1}{-5}[/tex]
[tex]k = -\frac{1}{5}[/tex]
The equation is calculated using the following rule:
[tex]y = kx[/tex]
Substitute [tex]-\frac{1}{5}[/tex] for k
[tex]y = -\frac{1}{5} * x[/tex]
[tex]y = -\frac{x}{5}[/tex]
can someone explain how to solve this?
What is the quotient 5/8 + 1/5?
Answer:
33/40
Step-by-step explanation:
cross multiply
5 x 5 = 25
8 x 1 = 8
25 + 8 = 33 (our numerator)
8 x 5 = 40 (our least common denominator)
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
Which triangle is congruent to triangle ABC?
will give brainliest if it is the correct answer and explained and a lot of points
Answer:
18
Step-by-step explanation:
Area = base x height
So you would start by multiplying you 2 side lengths given:
Area = 2 sqrt 3 x sqrt 27
2 sqrt 3 x sqrt 27 = 18
Once multiplied, you will get you area. Which is 18 units squared.
Which statement is true about minus 14 and minus 8?
Answer:
minus 14 less than minus 8 because minus 14 is located to the left of minus 8 on the number line.
Step-by-step explanation: Hope this is right! and I hope it helps you UwU
Maggie has three pages of homework to do.If she can do 1/4 of a page in one hour, how many will her homework take
Answer:
The answer is 12 hours.
Step-by-step explanation:
If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework
Answer:
the answer is 12 :)))))
Just help me pls and thank u
Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325. Approximately how long did it take the mechanic to install the radiator?
Answer: 5 hours
Step-by-step explanation: because 50 multiply by 5 is 250 and more 75 for radiator
Sydney purchased a used car for $3,500. Her state charges a 5% tax for the car, $85 for registration, $60 for a new title certificate, and $35 for a state safety and emissions inspection. How much does Sydney need to pay for these extra charges, not including the price of the car?
Answer:
$355
Step-by-step explanation:
85+60+35=180
5% of 3,500 is 175
175+180=355
so if i did the math right that means the answer is $355
Hopefully the right answer
Then she needs to find her "heart rate reserve" h by subtracting her average resting heart rate r from her maximum heart rate m. Write an equation she can use
Answer:
r-m=h
Step-by-step explanation:
PLS HELP I'LL TRY TO GIVE BRAINLIEST
Solve each equation and prove that your answer solves the original equation.
25 - 3x = 40 1/3x - 12 = -3
Answer:
25 - 3x = 40 x=-5
1/3x - 12 = -3 x=27
Step-by-step explanation:
25-3x=40 -> subtract 25 each side .... -3x=15 -> divide -3 each side...... x= -5
A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
Which fraction converts to a terminating decimal number?
OA.1/6
OB.2/9
OC.3/8
OD.4/7
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.
Please help 15 points!!!
Answer:
she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)
Step-by-step explanation:
I need help ASAP!!
Thanks
Answer:
-|x+2|+2
Step-by-step explanation:
Can you guys please help me
Answer:
9 < [tex]\sqrt{82\\}[/tex] < 10
Step-by-step explanation:
The sqrt of 82 is rounded to 9.1. The two integers above and below it are 9 and 10.
I hope this helps!
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
What is 1/4 divided by 9/10 rewritten with an important fraction?
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
Know more about the Ratios here:
https://brainly.com/question/2328454
#SPJ2
I NEED HELP PLSSSSSSSSS……………
Answer:
4n+2 (B)
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because the value of terms are going up by 4 every time, so if you subtract 4 you get 2 and the position would be 0 making 2 the y-intercept and then slope is= rise/run and the equation is rising 4 units for every 1 unit moved, so the slope is 4/1 or 4. plug all of that into the equation and you get 4n + 2
Which rational number is also an integer
A. - 86 / 6
B. - 65/13
C. 43/5
D. 70/25
This is because 65/13 = 5 when using a calculator or long division. There are no fractional or decimal parts to the result 5, so 5 is an integer.
Something like 86/6 = 14.333 approximately showing the result is not an integer. The same applies to choice C and choice D as well.