Answer: A. (3,-2)
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 4x = 5y + 22
[2] x = 5y/4 + 11/2
// Plug this in for variable x in equation [1]
[1] 2•(5y/4+11/2) + 5y = -4
[1] 15y/2 = -15
[1] 15y = -30
// Solve equation [1] for the variable y
[1] 15y = - 30
[1] y = - 2
// By now we know this much :
x = 5y/4+11/2
y = -2
// Use the y value to solve for x
x = (5/4)(-2)+11/2 = 3
Solution :
{x,y} = {3,-2}
For Those of You With 10 Questions and Are on the Same Topic!
____________________________________________________
1. What is the apparent solution to the system of equations graphed above?
A) [tex](-2,2)[/tex]_______________________________________________________
2. A jet ski company charges a flat fee of $26.00 plus $3.25 per hour to rent a jet ski. Another company charges a fee of $24.00 plus $3.50 per hour to rent the same jet ski. Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
B) [tex]8[/tex]_______________________________________________________
3. Which graph best represents the solution to the following system?
[tex]\left \{ {{-3x+y < 1} \atop {-x+y\leq 2}} \right.[/tex]
Graph B_______________________________________________________
4. A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.
D) [tex]\left \{ {{x+y=12} \atop {21.50x+14.75y=204}} \right.[/tex]_____________________________________________________
5. Which graph best represents the feasibility region for the system shown above?
[tex]\left \{ {{y\geq 2;x\leq 6} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]
Graph A____________________________________________________
6. (Graph Shown in Question) [tex]\left \{ {{x\leq 8;y\geq 0} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]
What is the minimum value for P = x - 2y over the feasibility region defined by the constraints shown above?
D) [tex]-14[/tex]_______________________________________________________
7. A candy store makes a 13-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $1.00 per pound, jelly beans cost $2.00 per pound, and hard candy costs $2.00 per pound. The mixture calls for three times as many gummy candy pieces as jelly beans. The total cost of the mixture is $20.00. How much of each ingredient did the store use?
C) 6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy______________________________________________________
8. How many solutions does the following system have?
[tex]\left \{ {{2x+3y=1} \atop {-3x-2y=-1}} \right.[/tex]
C) One Solution______________________________________________________
9. Which linear system of equations does the matrix represent?
[-3 5 | 15 ]
[ 2 3 | -10]
C) [tex]\left \{ {{-3x+5y=15} \atop {2x+3y=-10}} \right.[/tex]______________________________________________________
10. What is the solution to the above system of equations?
[tex]\left \{ {{2x+3y=-4} \atop {4x-5y=22}} \right.[/tex]
A) [tex](3,-2)[/tex]______________________________________________________
Should be 10/10. Also, good luck on Part 2 guys!
What is the number????
Step-by-step explanation:
[tex]n-a\ number\\\\3.145<n<3.146\Rightarrow 3.1450<n<3.1460\\\\n\in\{3.1451,3.1452,\ 3.1453,\ 3.1454,\ ...,3.1459\}[/tex]
Which equations are true?
Choose all answers that apply:
A. − x = −x + x + 0
B. − x = 0 + (−x)
C. None of the above
B 'cause A return value equal to 0
in mrs. wallace class's science class, 1/2 of the students are boys. Of the boys , 1/8 are left- handed. what fraction of the students in Mrs wallace science class are left handed
Answer:
1/16 of the class are left handed boys but we do not know the amount of left handed girls so we cannot be sure.
Step-by-step explanation:
1/2 * 1/8 = 1/16
there is still no way to be sure of how many girls are left handed so you should probably make a note by the problem so the mistake on the test will be realized
By multiplying the fractions, we find that 1/16 of the students in Mrs. Wallace's science class are left-handed boys.
Explanation:To solve this problem, we first need to understand that it involves fraction multiplication. We know that 1/2 of the students in Mrs. Wallace's science class are boys. Out of these boys, we know that 1/8 of them are left-handed.
When you want to find out a certain amount out of a fraction, you multiply fractions. In this case, 1/2 (the number of boys in class) times 1/8 (the fraction of boys who are left-handed) gives us 1/16. Therefore, 1/16 of the students in Mrs. Wallace's science class are left-handed boys.
Learn more about Fraction Multiplication here:https://brainly.com/question/23715562
#SPJ3
Find the seventh term of
Answer:
99
Step-by-step explanation:
You must show all steps and provide any evidence needed in your solution to receive full credit.
4. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one eight of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
5. Using the information from #4, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Answer:
4) Volume model = 1723 ft³
5) The percentage of the original tank is 51200% of the mock-up
Step-by-step explanation:
4) ∵ The volume of the main tank is 882,158 ft³
∵ The dimension of the scale model is 1/8 of the original model
∵ V model/v original = (dimension model/dimension original)³
∴ Volume model/882,158 = (1/8)³
∴ Volume model = (1/512) × 882,158 = 1722.965 = 1723 ft³
5) The percentage of the original tank is
(882158/1722.965) × 100% = 51200%
Final answer:
The volume of the scale model tank is 1/512 of the original tank's volume, which is approximately 0.1953125%. The original tank's volume is 51200% of the scale model's volume.
Explanation:
Step-by-Step Solution for Volume of Scale Model Tank
Let's denote the original dimensions of the theater's main show tank as length L, width W, and height H. Therefore, the original volume V of the tank is V = L \times W \times H.
For the scale model, each linear dimension is scaled down to one eighth of the original. Thus, the dimensions of the model will be L/8, W/8, and H/8.
Now, the volume of the scale model V_{model} can be calculated as:
The volume of the scale model is 1/512 or about 0.1953125% of the original tank's volume.
Percentage Volume of Original Tank to Mock-up Tank
To find out what percentage the original volume is of the mock-up tank, we can set up a proportion.
The original volume is 51200% of the mock-up of the tank.
The button on Monica's shirt has a radius of 1 centimeter. What is the button's diameter?
radius(r)=1cm
answer:-
diameter(d)=2r=2cm
Answer:
diameter = 2cmStep-by-step explanation:
A diameter is two times longer than a radius. Therefore, if the radius r = 1cm, then the diameter d = 2(1cm) = 2cm.
tell whether the sequence is arithmetic 4,8,16,22,32
Answer:
see explanation
Step-by-step explanation:
If the sequence is arithmetic then there will be a common difference d between consecutive terms, that is
8 - 4 = 4
16 - 8 = 8
22 - 16 = 6
32 - 22 = 10
The difference between terms is not common
Hence this is not an arithmetic sequence
The graph shows the cost of one pound of apples at the grocery store. Find the slope of the line??????
i dont understand!!
Answer:
[tex]\large\boxed{The\ slope=\dfrac{3}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points (0, 0) and (4, 6) - look at the picture.
Substitute:
[tex]m=\dfrac{6-0}{4-0}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}[/tex]
The slope of the line is [tex]\frac{3}{2}[/tex]
What is slope of a line ?
The change in y co-ordinate with respect to the change of x co-ordinate of a line is called the slope of the line.
Slope of a line is denoted by "m"
If two points on the line are [tex](x_{1},y_{1})[/tex] & [tex](x_{2} ,y_{2})[/tex], then m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
What is the required slope ?From the given graph, We take to points (2, 3) & (4, 6)
Now, Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= [tex]\frac{6-3}{4-2}[/tex]
= [tex]\frac{3}{2}[/tex]
The slope = [tex]\frac{3}{2}[/tex]
Learn more about slope of line here :
https://brainly.com/question/16949303
#SPJ2
Will give brainly
ABCD =JKLM
What side in the second quadrilateral corresponds to AD?
Jk
Kl
LM
JM
Answer:
JM
Step-by-step explanation:
If it is equal to each other than all you do is look at what it will be like for the other one.
A is at the beginning and D is at the end.
J is at the beginning and M is at the end.
JM is your answer.
Answer:
JM corresponds to AD.
Step-by-step explanation:
Look at their relative positions in the 2 names.
A and D are the first and last letters.
So the answer is JM because they are the first and last letters in JKLM.
Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one of its diagonals C. a 180° rotation about its center D. a reflection across a line joining the midpoints of opposite sides
Answer:
C. a 180° rotation about its center.
Answer:
The correct answer option is C. a 180° rotation about its center.
Step-by-step explanation:
We are to determine whether which of the transformations will always map a parallelogram onto itself.
We know that a parallelogram has a rotational symmetry of 2 so during a rotaion of 360 degrees, a parallelogram maps onto itself twice, which is at 180^{\circ} and 360^{\circ} about its center.
Therefore, the correct answer option is C. a 180° rotation about its center.
Given the points (3,0) and (-1,-3) which of the statements below is true
What are the statements?
Final answer:
The given statements about the points (3,0) and (-1,-3) are not true. One cannot determine if they are parallel to x-axis or mutually perpendicular without more information or a third point/vector.
Explanation:
The question describes two points, (3,0) and (-1,-3), and asks which statements are true regarding their position. To determine the relationship between these points, we can visualize them on a coordinate system. Point (3,0) lies on the x-axis, while point (-1,-3) does not. The statements provided suggest a scenario where the points either form parallel lines along the x-axis or are mutually perpendicular to each other.
Neither of the given statements is correct since one point lies on the x-axis, and the other does not, which means they cannot be parallel along the x-axis. Additionally, without a third point to form a triangle or a clear reference for perpendicular vectors, we cannot assert that they are mutually perpendicular. Therefore, we need additional information, such as the context for these points or the third reference point/vector, to make a proper determination.
Regarding the information about vectors and coordinates, remember that vectors can be used to define directions and magnitudes from one point to another. In this case, however, we are only given two points without clear instruction on how to interpret them as vectors.
For the statement 'Clearly, the three directions are mutually perpendicular to each other,' note that this applies to three-dimensional coordinate axes or where three vectors are given, which are specifically defined as perpendicular. This situation described with two points does not satisfy the conditions of that statement.
A living room has a circular rug with a diameter of 8 feet. What is the rug's area? Use 3.14 for .
Answer:
Step-by-step explanation: 50.27 is the area
Final answer:
The area of a circular rug with an 8 feet diameter, using the formula A = π[tex]r^2[/tex] and π approximated as 3.14, is 50.24 square feet.
Explanation:
The question seeks to determine the area of a circular rug with a diameter of 8 feet. To calculate the area of a circle, the formula used is A = π[tex]r^2[/tex], where A is the area and r is the radius of the circle. Since the diameter is twice the radius, we have a radius of 4 feet (8 feet divided by 2).
Using 3.14 for π, the calculation is:
First square the radius: 4² = 16.
Multiply this by π (approximated as 3.14): A = 3.14 × 16.
Complete the multiplication to find the area: A = 3.14 × 16 = 50.24 square feet.
Therefore, the area of the rug is 50.24 square feet.
A machine uses pieces of tape to seal packages. It cuts the tape into pieces exactly 2.375 inches long. If it uses 4 pieces of tape for a package, how many packages can it seal with a roll of tape of 1,900 inches long?
Answer:
200
Step-by-step explanation:
Math help pls,, will give brainiest reward! :)
Answer
16
Step by step
The triangles,PRS and PQT are similar.
PS:ST=15:3
=5:1
let PQ=x
PR:RQ
x+4:4
using the PS:ST ratio,
5:1=x+4:4
4×5=1(x+4)
20=x+4
collecting like terms
20-4=x
x=16.
!!~~I RAISED THE POINTS AND WILL GIVE BRAINLIEST ITS ALSO MULTIPLE CHOICE~~!!
which describes the type of sequence in 99, 89.9, 78.8, 68.7, . . . . . ?
a) neither geometric nor arithmetic
b) geometric
c) arithmetic
d) both arithmetic and geometric
(pLeAsE TelL mE wHY yOu PIcKeD YoUr AnSwER)
Answer:
a) Neither arithmetic nor Geometric
Explanation:
Since 99-89.9= 9.1, and 89.9 - 78.8 = 11.1, the sequence is not arithmetic.
Like wise 89.9/99=0.908 and 78.8/89.9 = 0.876 makes it not a geomtric sequence
Step-by-step explanation:
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
99, 89.9, 78.8, 68.7, . . . . .
Here,
[tex]a_1=99\\\\a_2=89.9\\\\a_3=78.8\\\\a_4=68.7[/tex]
But we can see that there is minor difference between the consecutive terms:
So, we will go for common difference whether it is same or not.
[tex]a_2-a_1=89.9-99=-9.1\\\\a_3=a_2=78.8-89.9=-11.1\\\\a_4-a_5=68.7-78.8=-10.1[/tex]
Their difference are not common.
So, It is neither geometric nor arithmetic.
Hence, Option 'a' is correct.
How many yards long is John's new surfboard if it is 7 feet long
A) 2 1/3
B) 2 2/3
C) 4 yards
D) 21 yards
Answer:
A)
Step-by-step explanation:
phil sat a history test and a geo test
history test he got 28/40
geo test he got 39/60
in which test did he do better ?
show working
Answer:
he did better in his History test
Step-by-step explanation:
40-28 gives you 12 marks he lost
whereas
60-39 gives you 21 makes he lost
therefore he done better in his history test the he did in his geo test because he lost more marks in his geo test then her did in his history test
Make the denominators same
take LCM of 40 and 60
120
[tex]\frac{28*3}{40*3}\\\frac{84}{120} \\\\\frac{39*2}{60*2} \\\frac{78}{120}[/tex]
Phil did better in this history test
need help asap!!! plzz
What is 75% of 240?
(A)150
(B)60
(C)165
(D)180
Answer:
D) 180
Step-by-step explanation:
Keep in mind to properly use a percent you must set it to a decimal.
To do so simply move the . in 75. over to the left 2 times. Which will go to .75!
Now time to multiply 240 by .45.
240 x .45 =180
Answer:
D 180
Step-by-step explanation:
75/100*240=180
Suppose you want to determine the number of miles you can drive in your car. Your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds. Write a direct variation equation that represents the situation. Let y be the dependent variable and let x be the independent variable
Answer:
y = 20x
Step-by-step explanation:
We know that the car gets 20 miles per gallon and the number of miles traveled varies directly with the number of gallons of gas the tank holds.
We are to write a direct variation equation which represents this situation.
Direct variation is expressed in the form [tex]y=kx[/tex], where [tex]k[/tex] is the constant of variation.
So for this situation, the direct variation equation will be:
[tex]y=20x[/tex]
Answer: [tex]y=20x[/tex]
Step-by-step explanation:
By definition, a direct variation equation has the form shown below:
[tex]y=kx[/tex]
Where k is a constant, y is the dependent variable and x is the independent variable.
According to the problem, you know that your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds.
Then, you can write the following direct variation equation that represents the situation:
y: The number of miles traveled
x: the number of gallons of gas the tank holds.
k: 20 (Because your car gets 20 miles/gallon)
Then:
[tex]y=20x[/tex]
What is a probability that a person chosen at random who lives in the city live in the east or west region?
Answer:
0.3
Explanation:
We are given that:
Probability that a randomly chosen person lives in the East is 0.12
P(East) = 0.12 ..................> I
Probability that a randomly chosen person lives in the West is 0.18
P(West) = 0.18 ............> II
Now, we want to find the probability that the randomly chosen person lives in the East or West
To do this, we will use the following formula:
P(A or B) = P(A) + P(B)
Applying this rule to our givens:
P(East or West) = P(East) + P(West)
P(East or West) = 0.12 + 0.18
P(East or West) = 0.3
Hope this helps :)
Answer:
0.30
Step-by-step explanation:
The probability that a person chosen at random lives in the east region is 0.12
The probability that a person chosen at random lives in the west region is 0.18
The probability that a person chosen at random lives in east or west region;
[tex]P(E\:or\:W)=P(E)+P(W)[/tex]
This implies that;
[tex]P(E\:or\:W)=0.12+0.18[/tex]
[tex]P(E\:or\:W)=0.30[/tex]
Triangle ABC is shown below :
Answer:
try the answer C
Step-by-step explanation:
Ian ran a total of 6 miles around his school track. Each lap around the track is 3/4 mile. What math expression can be used to find the number of laps Ian ran? How many laps did he run?
Answer:
The answer is 8
Step-by-step explanation:
which of the following has two bases?
A. prism
B. pyramid
C. line
D. plane
A. Prism
A prism has two bases
Which expression gives the measure of ACE in the diagram below
Answer:
B
Step-by-step explanation:
There are 2 secant lines intersecting a circle. We can use far arc - near arc formula to find this.
Let far arc be arc AE, and near arc be arc BD. So the theorem tells us:
Measure of Angle C = half of the difference of far arc - near arc
so we can say:
∠ACE = half of (arc AE - arc BD)
or
∠ACE = [tex]\frac{1}{2}(172-58)[/tex]
Option B is right.
Answer:b
Step-by-step explanation:
Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20? = –3 = –4 = 3 = 4
Answer:
To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20
It has to be equated to zero and the values of x are the x-intercepts. So,
4x2 – 24x + 20 = 0
The resulting equation is a quadratic equation which can be solved by different methods. The solution is
x = 5, 1
The average therefore is:
(1+5/)2 = 3
The equation that represents the average of the x-intercept is 3.
Option C is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
f(x) = 4x² - 24x + 20
x-intercept is f(x) = 0.
Now,
4x² - 24x + 20 = 0
4(x² - 6x + 5) = 0
x² - 6x + 5 = 0
x² - (5 + 1)x + 5 = 0
x² - 5x - x + 5 = 0
x(x - 5) - 1(x - 5) = 0
(x - 1)(x - 5) = 0
x = 1 and x = 5
The average of x-intercept.
= (1 + 5)/2
= 6/2
= 3
Thus,
The average of the x-intercept equation is 3.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
How many committees or three people are possible from a group of 12
I thinks its 4 if that's one of your answers. It says of 3 people from a group of 12. And a 3 and 4 are both factors of 12. 3 x 4 = 12.
The number of possible committees of three people from a group of 12 can be found by using combinations, resulting in 220 possible committees.
The number of committees of three people possible from a group of 12 can be calculated using combinations.
To choose 3 people out of 12, you use the combination formula: C(12,3) = 220.
Therefore, there are 220 possible committees of three people from a group of 12.
A store is having a Back To School Sale.The total for a skirt,a pair of shoes,and a pair of socks is $34.95 before tax.The pair of socks costs $3.75.The original prices of the skirt and shoes were the same.What was the sales price of the skirt
Final answer:
The sales price of the skirt was $15.60.
Explanation:
In this problem, we are given that the total cost of the skirt, pair of shoes, and pair of socks is $34.95 before tax. We are also given that the pair of socks costs $3.75. Since the original prices of the skirt and shoes were the same, we can assume they each cost x dollars.
Therefore, the equation we can set up is: x + x + 3.75 = 34.95.
We can solve this equation to find the value of x, which represents the original price of the skirt. Subtracting 3.75 from both sides, we get: 2x = 31.20. Dividing both sides by 2, we find that x = 15.60. Therefore, the sales price of the skirt was $15.60.
Find the product of (x + 5)2. x2 − 10x + 25 x2 − 25 x2 + 25 x2 + 10x + 25
Answer: Last option.
Step-by-step explanation:
By definition, the square of a binomial is:
[tex](a+b)^2=a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2[/tex]
Keeping the above on mind, you have the following expression given in the problem:
[tex](x+5)^2[/tex]
Therefore, if:
[tex]a=x\\b=5[/tex]
You obtain the following trinomial:
[tex](x+5)^2=x^2+2(x)(5)+5^2=x^2+10x+25[/tex]
Therefore, the answer is the last option.
Answer:
D. x2 + 10x + 25
Step-by-step explanation:
max is making a rectangular garden with a length that is 5 feet less than twice its width. if the perimeter of the garden is 80 feet, find the dimensions. and show work
Answer:
Step-by-step explanation:
l=2w-5
2(l+w)=80
l+w=40
2w-5+w=40
3w=45
w=15 feet
l=25 feet.
the width is 15 feet and length is 25 feet.
Please help me with 26
Answer:
Step-by-step explanation:
3x3=9 For the second week
9x3=27 For the Third week
27x3=81 For the Forth week so
3 Min first week
9 Min second week
27 Min third week
81 Min forth week