Answers
Answer:
The solution is ([4], [19]).
Step-by-step explanation:
To solve the system of equations using the substitution method, we can follow these steps:Step 1: Start with the given equations:
y = 4x + 3 (Equation 1)
y = 7 + 3x (Equation 2)Step 2: Choose one of the equations and solve for one of the variables in terms of the other variable. Let's choose Equation 1 and solve for y in terms of x:
y = 4x + 3Step 3: Substitute the expression for y from Equation 1 into Equation 2 and solve for x:
4x + 3 = 7 + 3x (Substituting y = 4x + 3 from Equation 1)
4x - 3x = 7 - 3
x = 4Step 4: Substitute the value of x found in Step 3 back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
y = 4(4) + 3 (Substituting x = 4)
y = 19So the solution to the system of equations is x = 4 and y = 19. Therefore, the solution is ([4], [19]).
Related Questions
The scale on a map reads 4 cm = 1.6 m. The relationship on the map is graphed on a coordinate grid, with centimeters on the y -axis and meters on the x -axis. The rate of change is: blank blank per blank
a. 0.4
b. 2.5
c. centimeters
d. meters
Answers
Answer:
To find the rate of change, we need to determine how much the value on the y-axis changes for every unit change on the x-axis.
The scale on the map reads 4 cm = 1.6 m, which means that for every 1 meter on the x-axis, there are 2.5 centimeters on the y-axis (since 4 cm is equivalent to 1.6 m, we can divide both sides by 1.6 to get 1 cm is equivalent to 0.4 m, or 2.5 cm is equivalent to 1 m).
Therefore, the rate of change on this graph is:
2.5 centimeters per meter
Or, we can express this as:
2.5 cm/m
Step-by-step explanation:
pls help me 1st awner gets brainlyest
Answers
if I understood the problem correctly I think a is 35, and b is 25
The owner of a tea shop is making a blend of two teas. Tea A costs $5.40 per pound. Tea B costs $6.80 per pound. The owner wants to make 8 pounds of the blend and wants to sell it for $5.75 per pound. How much of each tea should he use?
Answers
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
Step-by-step explanation:
Let the mass of the tea-1 be x and tea-2 be y.
Total mass of mixture tea owner wants to make = 20
pounds
x+y = 20 ... [1]
Cost of 1 pound of tea-1 = $6.50
Cost of 1 pound of tea-2 = $4.00
Cost of the 1 pounds mixture = $5.50
₴ × $6.50 + y × $4.00 = 20 × $5.50
6.5× + 4.00y = 110... [2]
Solving equation [1] and [2] by substitution method, putting value of × from [1] in [2].
X=20 - y
6.5(20 - y) + 4.00y = 110
130 - 6.50y + 4.00y = 110
-2.5 y=-20
y = 8
×=20-y = 20-8 = 12
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
I REALLY HOPE THIS HELPS
What is the equation for the line of reflection? On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1). x = 6 y = 6 y = x y = 2 Mark this and return
Answers
The equation of the line of reflection should be .
Given information:
Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).
A'B'C' is the reflection of the triangle ABC.
It is required to find the equation of the line of reflection.
Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).
Therefore, the equation of the line of reflection should be .
The midpoint between (2, 2) and (10, 2) is ((2 + 10) / 2, (2 + 2) / 2), which simplifies to (6, 2). The midpoint between (7, 3) and (5, 3) is ((7 + 5) / 2, (3 + 3) / 2), which simplifies to (6, 3). The midpoint between (5, 1) and (7, 1) is ((5 + 7) / 2, (1 + 1) / 2), which simplifies to (6, 1). Finally, the midpoint between (4, 1) and (8, 1) is ((4 + 8) / 2, (1 + 1) / 2), which simplifies to (6, 1).
The line of reflection is the line that passes through each pair of midpoints. Since all four midpoints have the same x-coordinate of 6, the line of reflection is a vertical line passing through x = 6.
Therefore, the equation for the line of reflection is:
x = 6
Choose an expression that is equivalent to the following.
6n + 2(3 - 5n)
A. n+6
B. 16n+6
C. 6-4n
D. 11n
Answers
Answer: C. 6-4n
Step-by-step explanation:
We will simplify the expression and see which one is equivalent.
Given:
6n + 2(3 - 5n)
Distribute:
6n + 6 - 10n
Subtract:
-4n + 6
This is the same as 6 - 4n, so our answer is C. 6-4n
Answer:
6-4n (C.)
Step-by-step explanation:
First you would do 2x3=6
2x-5n=-10n
6n+ -10n= -4n
6-4n
I cant figure it out I have only one more chance too
Answers
Answer: I believe it's 57
Step-by-step explanation:
each shelf on Sandra's bookcase is 42 1/2 inches long each book she wil place on a shelf is 3/4 inches wide what is the greatest number of books of this size can she fit on one shelf?
(the answer is 56 but I need to have the work)
Answers
Answer: yeah 56
Step-by-step explanation:
42.5 divided by .75 is 56.666666666666666666666666666667
And with this type of question, you have to round down to a whole number so, 56
Hope this helps :)
to find the number of books she can fit on the shelf, she has to divide the total amount of inches (85/2) by the width of each book (3/4)
dividing by a fraction is the same thing as multiplying by its reciprocal, so… 85/2 x 4/3 = 170/3
170/3 = about 56 books (rounded to the nearest whole number)
i hope this helped!! :))
Rebecca is cutting three different board length for a building project. the original boards measure 16 feet in length. How many pieces will Rebecca be able to cut in the various lengths below?
Building project.
2 1/2 feet long - garden fence
1 1/2 feet long - fireplace
2/3 feet long - window frame
Answers
Answer:
Step-by-step explanation:
i think its 2/3
Please help me ASAP!!♡ tysm♡ <3
Answers
Answer:
∡4 = 146°
Step-by-step explanation:
First, we need to find the value of ∡2, and keep in mind that the sum of all the angles in a triangle is = 180°.
Since the triangle is a right angle, we know that the angle to the bottom right = 90°. The other angle is 56°.
Since there are only 3 angles, let's add 56° and 90° to find ∡2.
56 + 90 = 146
180 - 146 = 34°
∡2 = 34°.
Now that we've found ∡2, we need to find out what type of angles ∡4 and ∡2 are.
They are supplementary angles, since they add up to 180°.
Let's subtract 180 - 34 to give us the value of ∡4
180 - 34 = 146
Therefore ∡4 = 146°
sorry if Im wrong
Answer:
∡4 = 146°
Step-by-step explanation:
Find the area of the composite figure.
A) 38 square units
B) 49 square units
C) 41.7 square units
D) 34.8 square units
Answers
Answer:
The answer is C (41.7)
Step-by-step explanation:
If you have any questions please ask me! :)
what is -3 1/3 -2?
its for an i-ready assignment
Answers
Answer:
The answer is -5.333
fraction answer: -5 333/1000
Step-by-step explanation:
If you have any questions ask me please! :)
Answer:
-5.33333333333
Mm what about this one? Help please ♡☆ ty ty!♡
Answers
Answer:
54
Step-by-step explanation:
[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]
The measure of ∠1 is 54 degrees by angle sum property
We have to find measure of angle 2 before finding angle 1 ∠1
∠2 + 109 = 180
Subtract 109 from both sides
∠2 = 180-109
∠2 =71 degrees
From angle sum property theorem we know that in any triangle the sum of angles is 180 degrees
∠1 + 71 +55 = 180
∠1 + 126 =180
Subtract 126 from both sides
∠1 = 180-126
One hundred eighty minus one hundred twenty six is equal to fifty four degrees
∠1 = 54 degrees
Hence, the measure of ∠1 is 54 degrees by angle sum property
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please help
What is area of the composite shape? ___ sq. cm
Answers
Answer:
132 cm^2
Step-by-step explanation:
7x4=28
((7+19)/2)8 = 104
104+28= 132
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answers
Answer:
1/8 probability or a 12.5% chance
Step-by-step explanation:
Greg has 4 choices for his shirt and 2 choices for his pants. The total number of possible outfits is then 4*2 = 8. Since Greg is equally likely to choose any one of these outfits, the probability that he chooses the white shirt and tan pants is 1/8.
Help please I don’t know this
Answers
×Answer: 400
Step-by-step explanation: [tex]20×20=400[/tex]
Because 20x20=400
Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Determine the measurement of EF.
EF = 1.58
EF = 1.52
EF = 1.1
EF = 5.5
Answers
Answer:
EF = 1.58
Step-by-step explanation:
Since DE is provided (2.2), we use that in order to find EF.
First, divide the length of AB by the length of DE.
11 ÷ 2.2 = 5
So we use 5 to figure out the measurement for EF.
BC = EF, so we divide BC by 5 to get EF.
7.9 ÷ 5 = 1.58
therefore EF = 1.58
Answer:
EF is equal to 1.58
Take 11 and divide it by 2.2 to get 5, then divide 7.9(BC) and 5 which is 1.58(EF)
Also I got this right on the test, hope it helps <3
What is area of the composite shape? ___ sq. ft
Use 3.14 for "pi" and round to the nearest hundredths place.
Answers
Answer:
236.63
Step-by-step explanation:
236.63 sq
Nick had 29 toy cars. Then he bought 16 cars from the toy store and got 30 cars for his birthday. Nick gave 9 of the toy cars to his sister and 29 to his friend Jordan. How many toy cars does Nick have left?
Answers
Answer: 37 cars
Step-by-step explanation:
29 + 16= 45
45 + 30 = 75
75 - 38 = 37
hopefully the last question!!
Answers
Answer:
the answer is 16.23
If you borrow $600 for 2 years at an annual interest rate of 7%, how much will you pay altogether?
Answers
Kevin goes to a restaurant that offers 4 appetizer choices, 4 different meats, 6 vegetables, 4 desserts, and 7 drinks. Assuming he gets one of each, how many different meals could he order? Responses A 184 B 25 C 2688 D 672 E 504
Answers
4 appetizer choices × 4 meat choices × 6 vegetable choices × 4 dessert choices × 7 drink choices = 2,688
Therefore, Kevin can order 2,688 different meals. So the answer is option C.
Can you please help with this? Thanks!
A
∠A and
∠
B
∠B are supplementary angles. If
m
∠
A
=
(
x
+
4
)
∘
m∠A=(x+4)
∘
and
m
∠
B
=
(
2
x
−
7
)
∘
m∠B=(2x−7)
∘
, then find the measure of
∠
A
∠A.
Answers
Answer:
Step-by-step explanation:
so its 23 cause .
that means we should set up the equation like this:
(x+4)+(2x-7)=180
solve by adding like terms
3x-3=180
add
3x=183
divide
x=61
we can check this answer by plugging the number back in.
(61+4)+(2(61)-7)=180
(65)+(115)=180
therefore angle A would equal 65 degrees.
Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?
Answers
Answer:
The inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase is option (D) 10 + 7x ≤ 40.
Step-by-step explanation:
Step 1: Let x be the number of child tickets that Ms. Hernandez can purchase.
Step 2: The cost of the adult ticket is $10, and the cost of each child ticket is $7. Therefore, the total cost T of the tickets can be expressed as:
T = 10 + 7x
Step 3: Ms. Hernandez does not want to spend more than $40. So, we can write an inequality to express this:
T ≤ 40
Substituting the expression for T, we get:
10 + 7x ≤ 40
Simplifying the inequality:
7x ≤ 30
Step 4: Dividing both sides by 7:
x ≤ 4.2857
Since we cannot purchase a fraction of a ticket, Ms. Hernandez can purchase at most 4 child tickets.
Therefore, the inequality that can be used to find c is:
7x + 10 ≤ 40 or 10 + 7x ≤ 40.
To learn more about fraction,
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Please! I have class again tomorrow and homework is due! Urgent!
Answers
Which situation is best represented by the following equation
68.50x + 127.95 = 675.95
Answers
Answer: Option B
Step-by-step explanation:
Considering Option A
we can infer that the office manager paid a total of $675.95
the cost of the software package is $68.50
while an employee is paid $127.95 every hour she works on the website
So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95
Coming to Option B
we can infer that the office manager paid a total of $675.95
the cost of one monitor is $127.95
while the hard drives are for $68.50 each
So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95
Hence Option B is the correct answer
To learn more about Equations,
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please help quickly! thank u so much god bless
Answers
A C D E
Just count the units from wherever it stays to.
Answer:
A
D
C
E
Step-by-step explanation:
If you have any questions please ask me! :)
tryingtogetverified u have helped me sm thank u btw.
Answers
Answer:5sweaters
Step-by-step explanation:
if u add 40 twice for each sheep wich there are five sheeps that makes 200 then take away 40 till u get zero and counts how many 40s you took away
pls help mee/////////
Answers
Answer:c
Step-by-step explanation:im smart
i hate geometry....so very much
Answers
Answer: 128 cm
Step-by-step explanation: 96+24+8=128cm
please help......................
Answers
Answer: 6.6 in^2
Step-by-step explanation:
2.2 x 3 = 6.6