Answer:
(4, 1 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 14 → (1)
3x - 2y = 10 → (2)
Adding the 2 equations term by term, eliminates y , that is
6x = 24 ( divide both sides by 6 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
3(4) + 2y = 14
12 + 2y = 14 ( subtract 12 from both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (4, 1 )
Carlos bought 4 yards of packing tape. He used 1 3/5 yards on a package for his father and 2 1/3 for a package. How many yards of packing tape does Carlos have left (only write the fraction with no words as your answer)?
Answer:
1/15 yards
Step-by-step explanation:
Total yards of packing tape = 4 yards
Yards used for his father = 1 3/5 yards
Yards used for another package = 2 1/3 yards
Total yards used = 1 3/5 + 2 1/3
= 8/5 + 7/3
= 24+35/15
= 59/15 yards
How many yards of packing tape does Carlos have left
Total yards left = Total yards of packing tape - Total yards used
= 4 - 59/15
= 60-59/15
= 1/15
Total yards left = 1/15 yards
A survey of Ghasi's customers showed that 1,200 of the customers buying yarn would buy bamboo yarn. In the first month, 725 customers actually bought bamboo yarn. What was the percent error in the survey estimate of the number of people buying bamboo yarn? Round to the nearest tenth.
Answer:
40%Step-by-step explanation:
Step one:
given data
expected customers= 1200
actual customers= 725
the percent error= (actual-expected)/expected
substituting the given values we have'
%error=725-1200/1200
%error=475/1200
%error=0.395
To the nearest tenth we have 0.4
%error=0.4*100
%error=40%
Hence the percent error is 40%
Answer:
40%
Step-by-step explanation:
ABC and XYZ are similar. Find the missing side length.
Answer:
56
Step-by-step explanation:
The easiest way to solve this is by cross multiplying. We can make an equation to find the answer of this by simply taking a side from each triangle and then the variable and equal side on the other triangle, shown below.
[tex]let \: \: ? = x[/tex]
[tex] \frac{7}{49} = \frac{8}{x} [/tex]
Now we solve with cross multiplication
[tex]7 x = 392 \\ x = 56[/tex]
Now we know the mystery number is 56
Draw the shape!
Find the volume!
PLEASE INCLUDE WORK!
solve the following equation
7/3x=5
Answer:
15/7. This the answer answer. But if it tells you simplify this then simplify it.
Step-by-step explanation:
Answer:
X = 15/7
Step-by-step explanation:
Does anyone has Algebra ll and if so can you please help me with this problem 5i/-2-6i And also I can't pay you but I hope God can give more good luck
Answer:
[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]
Step-by-step explanation:
We have the following complex number [tex]s = \frac{5i}{-2-6i}[/tex], we proceed to simplify the expression as follows:
1) [tex]\frac{5i}{-2-6i}[/tex] Given.
2) [tex](5i)\cdot (-2-6i)^{-1}[/tex] Definition of division.
3) [tex][(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}][/tex] Modulative and associative properties/Existence of the additive inverser
4) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}][/tex] Commutative and associative properties.
5) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
6) [tex][(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}[/tex] [tex](a+b)\cdot (a-b) = a^{2}-b^{2}[/tex]/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]
7) [tex][(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}[/tex] Definition of sum.
8) [tex](-10\cdot i+30\cdot i^{2})\cdot 40^{-1}[/tex] [tex]a\cdot (-b) = -a\cdot b[/tex]/Associative and commutative properties.
9) [tex](-30-10i)\cdot 40^{-1}[/tex] Commutative properties/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]
10) [tex]-30\cdot 40^{-1}-(10i)\cdot 40^{-1}[/tex] Distributive property.
11) [tex]-\frac{30}{40}-\frac{10}{40}i[/tex] Definition of division/Result.
[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]
This is probably simple but can someone help me with this??
Answer:
7.5 units
Step-by-step explanation:
First, create a proportion by picking 2 sides:
2.5/n = 5/15
Next, cross multiply:
5n = 37.5
Finally, divide both sides to isolate the variable:
7.5
Therefore your answer is 7.5 units.
PLEASE HELP !
Which scenarios represent one quantity changing at a constant rate per unit interval relative to the other quantity?
Select all that apply
A. An employee earns $14 per hour.
B. An employee earns a 3% raise each year.
C. A gym charges a $50 down payment plus $30 per month.
D. A piece of gym equipment decreases 8% in value every 6 months.
E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.
Answer:C and E
Step-by-step explanation:
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
Given that, an employee earns $14 per hour.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
A). Let the number of hours be x and the total money earned be y
So, y=14x
B). Let the money earn by an employee each year be a and total earning in a year be b.
So, b=a+3% of a
⇒ b=a+0.03a
⇒ b=1.03a
C) Let the number of months be m and the total charge be t
So, t=50+30m
D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months
So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]
E) Let the number of hour be x.
Here, 30 minutes = 1/2 hours
Total charge = 20+5x/2
An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.
To learn more about the constant rate of change visit:
https://brainly.com/question/13448675.
#SPJ2
If G( x ) = 3 x + 1, then G -1 (1) is...
-1/3
-4
-0
Answer:
-4
Step-by-step explanation:
3+1 = 4 so just put a dash at the start and you ger -4
Two sides of a triangle are equal in length, and the third slide is 5 less than the length of the equal sides. If the perimeter of the triangle is 49, how long are it's sides?
Answer:
The sides are 14.6, 14.6, 9.6
Step-by-step explanation:
Step one:
given
Perimeter= 49
let the equal sides of the triangle be x
so the third side will be x-5
hence the first side is=x
the second side =x
and the third side=x-5
the perimeter of triangle is
P= A+B+C
where A B and C represents all the sides
49=x+x+(x-5)
solve for x
49=2x+x-5
49=3x-5
49-5=3x
44=3x
x=44/3
x=14.6
Hence the third side is
=x-5=14.6-5
=9.6
The sides are 14.6, 14.6, 9.6
Answer:
18 for same length and 13 for 3 length
Step-by-step explanation:
2x+3y=9 and x-2y=8 system of equations
Answer:
(6, -1)
Step-by-step explanation:
Solve the System of Equations
2x + 3y = 9 and x − 2y = 8
Add 2y to both sides of the equation.
x = 8 + 2y 2x + 3y = 9
Replace all occurrences of x with 8 + 2y in each e quation.
Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9
x = 8 + 2y
Simplify 2 (8 + 2y) + 3y.
16 + 7y = 9
x = 8 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
7y = −7
x = 8 + 2y
Divide each term by 7 and simplify.
y = −1
x = 8 + 2y
Replace all occurrences of y with −1 in each equation.
Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)
y = −1
Simplify 8 + 2 (−1).
x = 6
y = −1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(6, −1)
The result can be shown in multiple forms.
Point Form:
(6, −1)
Equation Form:
x = 6, y = −1
Answer:
(6, -1)
Step-by-step explanation:
25 + 5w -1 0 + w
PLZ help me (i pomise i will mark brainliest)
Answer:
[tex]6w+15[/tex]
Answer:
6w+15
Step-by-step explanation:
You just simplify the expression
Through (-3,-2), perpendicular to y=-x-4
Answer:
your answer is not perpendicular
Step-by-step explanation:
so first you put the y which is -2 and the -x with -3
[tex]-2=(-3)-4[/tex]
when you subtract the -3 from 4 you will get 7
[tex]4-(-3)=7[/tex]
7 is not equal to -2 so it is not perpendicular
[tex]7\neq -2[/tex]
★PLSSSSS HELPPPPPPPPP★
Answer:
I cant really read the question
please ive been trying to get help all day :(
Answer:
its D
Step-by-step explanation:
When the distributive property is used to solve the equation 9(x+4)=8x-3, what is the next step.
what distinguishes the diagonals of rectangles from those of other parallelograms
Answer: The diagonals are thus equal, and divides the rectangle into right triangles, whereas the diagonals of a parallelogram are not equal and bisect it into two congruent triangles with angles depending on that of the parallelogram.
Simplify [2(5 – 4) + 6(7 – 3)] ÷ 2
A 21
B 13
C 15
D 19
Answer:
B
Step-by-step explanation:
A park in the shape of a rectangle is 18 miles long and 24 miles wide. How much shorter is your walk
if you walk diagonally across the park instead of along the two sides of it?
Leslie and Surekha were standing on opposite sides of a road. Suddenly, they spotted a puppy stranded on the road and both rushed straight to where the puppy was, to pick it up. If Leslie ran at an angle of 35 degrees to the edge of the road and Surekha at an angle of 70 degrees, at what angle did their path meet?
Answer:
75°
Step-by-step explanation:
we can form a triangle to help us understand how to solve this problem:
puppy
∠ Leslie = 35° ∠ Surekha = 70°
If Leslie's angle is 35° and Surekha's angle is 70°, that gives us a total of 105°. Since the sum of the triangle's three angles is 180°, then the angle at which they will meet is 180° - 105° = 75°
In this exercise, we have to calculate the angle of the path that they met, so we will have:
75°
We know that the geometric figure in question is a triangle and that the sum of its internal angles must be equal to 180 degrees, thus:
[tex]180-105=X\\180-105=75\\[/tex]
See more about triangles at brainly.com/question/2269348
The first several steps of evaluating (-2)(3&4/7) are shown, including the distributive property. What is (-2)(3&4/7)?
Answer:
-7 1/7
Step-by-step explanation:
Answer:
a or 7 1/7
Step-by-step explanation:
WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 30th term 28, 25, 22, 19, ... (show your work pls)
Answer:
[tex] a_n = 31 - 3n\\\\
a_{30}= 59[/tex]
Step-by-step explanation:
Given Arithmetic sequence is:
28, 25, 22, 19, ...
a = 28, d = 25 - 28 = - 3,
nth term of an Arithmetic sequence is given as:
[tex] a_n = a + (n - 1) d\\[/tex]
Plugging a = 28 & d = - 3 in the above equation, we find:
[tex] a_n = 28 + (n - 1) (-3)\\\\
a_n = 28 - 3n +3\\\\
\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\
Plug \: n = 30, \: we \: find:\\\\
a_{30}= 31 - 3 \times 30\\\\
a_{30}= 31 - 90\\\\
\huge\orange {\boxed {a_{30}= 59}} \\\\
[/tex]
Cab you please help me...
Answer:
- 2x² + x + 42x² + x + 43Step-by-step explanation:
Given functions
r(x) = x + 4s(x) = 2x²Finding (r-s)(x), (r+s)(x), (r*s)(-1)
(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4(r + s)(x) = r(x) + s(x) = x + 4 + 2x² = 2x² + x + 4(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3Answer:
1. - 2x² + x + 4
2. 2x² + x + 4
3. Answer = 3
Example functions we are given:
r(x) = x + 4
s(x) = 2x²
Now, we Find (r-s)(x), (r+s)(x), (r*s)(-1)
(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4
(r + s)(x) = r(x) + s(x) = x + 4 + 2x² = 2x² + x + 4
(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3
An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The shiny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?
Answer:
it is 24 . Logically in my idea .
ill make you brainliest just please help me <3
Answer: the answer is below!!!!!!
Step-by-step explanation:
first: take 28 and divide it by 2 and you will get 14
now take 2 and divide it by 2 and you will get 1
now take the 14 put it over 1 like this------>14/1
Second:take the 5 and divide it by 2 and you get 2.5
not take the 2 and divide it by 2 and you get 1
now take 2.5 and put it over the 1 like this-------->2.5/1
third: take the 3 and divide it by 3/4
PLZZZZZ I NEED THE CORRECT ANSWER NOW
Use the simple interest formula to find the ending balance.
$5000 at 5% for 3.5 years.
Enter your answer in the box.
Answer:
$875
Step-by-step explanation:
5000/ .05 =
250
250 x 3.5 =
875
Your buddy constructs an angle bisector BD−→− for ∠ABC. She says that m∡ABD and m∡DBC formed by the angle bisector are congruent. Do you think that is always, sometimes or never true for angle bisectors?
Answer:
Always true
Step-by-step explanation:
The definition of an interior or internal angle bisector is the the dividing line segment that splits the angle into two equal angles (parts)
Therefore, given that the segment BD is the bisector of ∠ABC, then the formed angles m∡ABD and m∡DBC are, by definition of bisected ∠ABC, always congruent
Determine the type of triangle that is drawn below.
Answer: equilateral
Step-by-step explanation:
HELP PLEASE I DONT UNDERSTAND AND NEED TO PASS
Answer:
20 for de first one and answer (B) for the second.
Step-by-step explanation:
20 for de first one and answer (B) for the second.
hope this helped;3
please help me with this
Answer:
D. [tex] Cos(Z) = \frac{5}{13} [/tex]
Step-by-step explanation:
Using trigonometric ratios formula, thus:
[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = Z
Adjacent = 10
Hypotenuse = 26
Plug in the values into the formula
[tex] Cos(Z) = \frac{10}{26} [/tex]
Simplify
[tex] Cos(Z) = \frac{5}{13} [/tex]