d + c = 19
100d + 15c = 1390
we can simplify the second equation
20d + 3c = 278
now d + c = 19
c = 19 - d
3c = 57 - 3d
now plug into second equation
20d + 57 - 3d = 278
17d = 278 - 57
17d = 221
d = 221 / 17
d = 13
now we can plug this into the first equation
13 + c = 19
c = 19 - 13
c = 6
13 dogs were sold and 6 cats were sold
i need help quick!! its due in 10 mintunes helpp!!!!!
Answer:
b) 10
Step-by-step explanation:
(3×10+46)+14 = 90
Hope this helps!!!!!
Select the correct answer.
What is the inverse matrix that can be used to solve this system of equations?
x-y-z=4
-x+2y+3z=-2
x+y+4x=10
The correct answer is the inverse matrix: [ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
To find the inverse matrix that can be used to solve the given system of equations, we need to represent the system in matrix form as AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.
The given system of equations can be written as:
[1 -1 -1] [x] [ 4]
[-1 2 3] * [y] = [-2]
[ 1 1 4] [z] [10]
To find the inverse matrix, we'll set up the augmented matrix [A | I], where I represents the identity matrix:
[1 -1 -1 | 1 0 0]
[-1 2 3 | 0 1 0]
[1 1 4 | 0 0 1]
Using Gaussian elimination, we'll perform row operations to transform the left side into the identity matrix, while applying the same operations to the right side. The resulting matrix on the right side will be the inverse matrix.
After performing the row operations, the augmented matrix becomes:
[1 0 0 | 1 -3 2]
[0 1 0 | 2 -5 3]
[0 0 1 | -1 3 -2]
Therefore, the inverse matrix is:
[ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
Hence, the correct answer is the inverse matrix:
[ 1 -3 2]
[ 2 -5 3]
[-1 3 -2]
Learn more about matrix here:
https://brainly.com/question/27929071
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The graph of f (z) -x^2 was translated 4.5 units to the left to create the graph of function g.
which function represents g?
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be g(x) = (x + 4.5)^2
Translation of coordinatesGiven the function expressed as
f(x) = x^2
If the function is translated 4.5 units to the left to createe the graph of function g(x), hence the resuting function will be:
g(x) = (x + 4.5)^2
Note that translation to the left means addition of the factor
Learn more on translation here: https://brainly.com/question/1046778
The perimeter of a square is 1/7 yard. Find the length of each side in feet.
1 yd=3 feet
*MY LITTLE SISTER NEEDS HELP*
a square has four equal sides, and we know the perimeter or namely the sum of all those four sides is 1/7 yard, so
s = length of one side.
[tex]s + s + s + s = \cfrac{1}{7}\implies 4s=\cfrac{1}{7}\implies s=\cfrac{~~ \frac{1}{7}~~}{4}\implies s=\cfrac{~~ \frac{1}{7}~~}{\frac{4}{1}} \\\\\\ s=\cfrac{1}{7}\cdot \cfrac{1}{4}\implies s=\cfrac{1}{28}~yd\qquad \stackrel{\textit{how many feet is that?}}{s = \cfrac{1~yd}{28}\cdot \cfrac{3~ft}{yd}}\implies s=\cfrac{3}{28}~ft[/tex]
Nora is flying a kite, holding her hands a distance of 3 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 23. If the string from the kite to her hand is 135 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answer:
[tex]55.7 feet[/tex]
Step-by-step explanation:
[tex]h=\sin{\left(23\right)\times135}[/tex]
[tex]\sin{23}\approx0.39[/tex]
[tex]h=0.39\times135=52.65\left(feet\right)\[/tex]
[tex]H=h+3[/tex]
[tex]=52.65+3[/tex]
[tex]=55.65\left(feet\right)[/tex]
[tex]55.65\ feet\approx55.7\ feet[/tex]
I hope this helps you
:)
Is it graph 1, 2 or 3
The diameter of a circle is 2 centimeters. What is the circle's circumference? d=2 cm
Answer: pi (3.14)
Step-by-step explanation:
The circumference formula is pi*radius squared. Radius is half the diameter so radius is 1.
1 squared is still 1.
The answer is 3.14 or pi
23
Select the correct answer
Two manufacturers of sport utility vehicles claim that the sharpness of the turning radius for their SUV is better than all other SUVs on the
market. John randomly selected 30 professional sports car drivers to test the manufacturers claims. The drivers were all experienced in driving
both manufacturers' SUVs as well as competing SUVs on the market. He asked 15 drivers their opinion of vehicle A and 15 drivers their opinion
of vehicle B. The drivers' opinions on both SUV manufacturers claims are shown in the table.
Vehicle A Vehicle B
11 13
Agreed
Disagreed
4
2
Given John's data collection method and findings, what conclusion can be made?
ОА
Both SUV manufacturers' claims are true, but the turning radius of vehide B is sharper than the turning radius of vehicle A.
OB. Only the claim for vehicle B is true because more people agree with their claim.
OC. Neither of the claims are correct.
OD. Only the claim for vehicle A is true because 11 out of 15 people agree with their claim
Reset
Next
2022 Edmentum. All rights reserved.
Answer:
a.) both suv manufractures claims are true
Step-by-step explanation: got it right on edmentum
please help me,
Find the value of x that will make A parallel to B
the answer isn't 1, I've tried that
If I have a 78 and I got a 93.1 on a test that counted for 5 percent of my grade what would my grade be?
Answer
It might be 88%
Step-by-step explanation:
HELP ME PLEASE!!!!!!
Answer:
53 people
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] × 120 = = 48
48 + 5 = 53 people
____
You've made your grade level high school, lower it to Grade 4. Thank you!
how many diagonals does an 80-gon have?
Answer:
Step-by-step explanation:
35
Answer:
3080
Step-by-step explanation:
Sketch the graph:
just tell me the vertex and the points I should plot on
Answer:
SO this equation is y={4-3x}
This is an absolute value so the domain is all real numbers
For this equation, we are shifting left 3 and up 4
The vertex is (1,1) Turning point
Points:
(-1,7)
(0,4)
(1,1)
(2,2)
(3,5)
(4,8)
It will make a v shape
(if u were too do this on the ti-84, hit y=, then hit 2nd catalog and hit abs, plug in the equation; then hit 2nd graph to get the table. You will need to find the vertex by finding the number at which they are not the same)
I hope this helps!
Step-by-step explanation:
need help with inscribed angles
Answer:
m∠A = 79°
m∠B = 112°
Step-by-step explanation:
A+C=180
A=180-C=180-101=79
B+D=180
B=180-D=180-68=112
What is 45% of 32? can u also help me out with 8
Answer:
the answer is x=14.4
Step-by-step explanation in the photo :)
One week, Daniel earned $554. 30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939. 90?
Answer:39 hours
Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90
(1,-4), (8,2) , (2,9) and (-5,3) Which formula can be used to determine the coordinates of the point at which the diagonals of this square intersect?
Answer:
The midpoint formula
Step-by-step explanation:
(x,y)=(x1+x2)/2,(y1+y2)/2 ..(Take any two points that are opposite to each other in this case first and third points)
(x,y)=(1+2)/2,(-4+9)/2
(x,y)=3/2,5/2
As the diagonals of a square are equal, their intersection point will be the midpoint.
Evaluate 4x + 5y, when x = 7 and y = 10
My Explanation:
So, I picked 78. But the whole issue is that I can’t specifically “work it out”.
Question: How do you get 78? If you can give a kind answer, thank you very much. :)
Answer:
78
Step-by-step explanation:
4(x) = 4(7) = 28 5(x) = 5(10) = 50
28+50=
78
A town's population is currently 20,000. If the population doubles every 34 years, what will
the population be 68 years from now?
Answer:
80,000
Step-by-step explanation:
20,000 x 2 = 40,000
40,000 x 2 = 80,000
(I'm pretty sure it's right if not let me know.)
Help asap!
Monica is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 6 cm, and the height of the cylinder is 12 cm. To get the wax for the candle, Monica melts cubes of wax that are each 5 cm by 5 cm by 5 cm. How many of the wax cubes will Monica need to purchase to make the candle? (Note that Monica is not able to purchase partial
cubes). Show all your work
Answer:
Volume of the cylinder=3.14×6×6×12=1356.48
volume of one cube=5×5×5=125
divide1356.48÷125=10.85
since she can't buy partial cubes, she'll have to purchase 11 cubes
here is my question: Find the rule which gives the number of matchsticks required to make the following matchstick patterns?
Find the domain and range. Show solution.
[tex]y = \frac{2}{2x} [/tex]
Domain:
Range:
We are given with a function y =2/(2x) . So , if we cancel the 2 from both numerator and denominator we are left with y = 1/x . Now , here we need to find the domain , bur let's Recall that Domain is the set of all values for which the given function is defined .Now , here , if we put x = 0 , then y will be not defined , but as for domain we need only the set of values for which the function is defined , so domain willn't include 0 , and for all real numbers except 0 , the given function is defined . So Our domain is [tex]{\boxed{\bf{(-\infty,0)\cup (0,\infty)}}}[/tex] and as this interval contains all real numbers except 0 , so domain can be further written as [tex]{\boxed{\mathbb{R}-\bf \{0\}}}[/tex] . Now , Range is the set of all output values of the function when we put the values of domain as input . So , now here when we put values of domain as input like let's put x = -1 , -2 , -3 , -4 , 1 , 2 , 3 ,..... we will get y = -1 , -1/2 , -1/3 , -1/4 , 1 , 1/2 , 1/3 and so on , now , the input will give output as 0 , iff input is Infinite , but as input can never be infinite, so output will never comes to 0 as the intervals of real numbers is [tex]{\bf{(-\infty,\infty)}}[/tex] it's an open interval so Infinity and -ve infinity is not concluded in the above interval because whenever we think a number as large as much we can think , their exists infinitely large numbers greater than it , assume you're thinking 10¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ as the largest number you can think , but if we add 1 in that i.e 10¹⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰ + 1 comes to be greater than it , Hence , we don't include Infinity and -ve Infinity in the interval which represents the set of all real numbers. So now the range is same as the Domain i.e [tex]{\boxed{\bf{(-\infty,0)\cup (0,\infty)}}}[/tex] or [tex]{\boxed{\mathbb{R}-\bf \{0\}}}[/tex]
Hence , we concluded that :
[tex]{\bf Domain=\mathbb{R}-\bf \{0\}}[/tex][tex]{\bf Range=\mathbb{R}-\bf \{0\}}[/tex] Range = DomainWhich of the following
represents this inequality?
|3x – 4| < 6x
Answer:
x>
4
9
Step-by-step explanation:
|3x−4|<6x
Let's find the critical points of the inequality.
|3x−4|=6x
We know either3x−4=6xor3x−4=−6x
3x−4=6x(Possibility 1)
3x−4−6x=6x−6x(Subtract 6x from both sides)
−3x−4=0
−3x−4+4=0+4(Add 4 to both sides)
−3x=4
−3x
−3
=
4
−3
(Divide both sides by -3)
x=
−4
3
3x−4=−6x(Possibility 2)
3x−4+6x=−6x+6x(Add 6x to both sides)
9x−4=0
9x−4+4=0+4(Add 4 to both sides)
9x=4
9x
9
=
4
9
(Divide both sides by 9)
x=
4
9
Check possible critical points.
x=
−4
3
(Doesn't work in original equation)
x=
4
9
(Works in original equation)
Critical points:
x=
4
9
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<
4
9
(Doesn't work in original inequality)
x>
4
9
(Works in original inequality)
Answer:
x>
4
9
please help me asap i will give you 50 points
Answer:
Keep track of every 1, 2, 3, or 4. These represent the number of days the temperature is above 80 degrees F. repeat this 20 times.
find the LCM of 9 and 54 using prime factorization
Kate has 7 apples and she eats 5 how many does she have left
If the product of two numbers is 14 and one of the numbers is 3 1/2 times the other, then what is the sum of the two numbers?
Answer:
x=number1 and y=number2
product of the two numbers is 14 which translates to
xy=14
either x or y are 3.5 times big as the other one
so 3.5x=y
substituting in xy=14
x(3.5x)=14
[tex]3.5x^2=14\\x^2 =\frac{14}{3.5}=4[/tex]
then x must be equal to 2 or -2
x+y=
by substituting
x+3.5x=
if x =2 then 2+7=9 or if x=-2 then -2-7=-9
In a class of c children,1/4 are boys. What fraction are girls?
Answer:
3/4
Step-by-step explanation:
Given:
⇒ 1/4 are boys
To Solve/Find:
⇒ What fraction are girls
Solve:
well, We know that 4/4 = 1 Whole
Thus, We have to Subtract to find what fraction are girls
→ 4/4 - 1/4 = 3/4
Hence, We can conclude that 3/4 are girls
~Learn with Lenvy~
an oil spill spreads 25 square meters every 1/6 hour. How much area does the oil spill cover after 2 hours?
Answer:
300 [tex]m^{2}[/tex]
Step-by-step explanation:
The spread has a rate of 25 [tex]m^{2}[/tex] per every 1/6 hour. That can be expressed as 25 [tex]m^{2}[/tex] per every 1/6 hour:
25 [tex]m^{2}[/tex]/ (1/6 hour), or
150 [tex]m^{2}[/tex]/hour
After 2 hours, the spread would be (150 [tex]m^{2}[/tex]/hour)*(2 hours) = 300 [tex]m^{2}[/tex]
Solve each equation x+2y=1 and -x+y=2
Answer:
x = -1, y = 1
Step-by-step explanation:
x + 2y = 1
Subtract 2y from both sides
x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y
----
-x + y = 2
Subtract y from both sides
-x + y - y + 2 - y (simplify) -> -x = 2 - y
Divide both sides by -1
[tex]\frac{-x}{-1}[/tex] = [tex]\frac{2}{-1}[/tex] - [tex]\frac{y}{-1}[/tex] (simplify) -> x = -2 + y