Answer:
x=1
Step-by-step explanation:
you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
x=1
Answer:
(1,2)
Step-by-step explanation:
1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:
[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]
2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:
[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]
So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
height (h)=
radius (r)=
Answer:
So, The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
Step-by-step explanation:
P.S - The exact ques is -
As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
As given,
V = [tex]9\pi[/tex]
⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]
So,
The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
In Case I-
When r = 3, h = 3
(3)² ×3 = 9×3 = 27
Satisfied
Case II-
r = 1, h = 27
(1)²×27 = 1×27 = 27
Satisfied
Case III-
r = 2, h = 6.75
(2)²×6.75 = 4×6.75 = 27
Satisfied
If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
What is the volume of the cone?The volume of the cone is the volume occupied by the cone. It is given by the formula,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]
where r is the radius of the base, and h is the height of the cone.
Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]
Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.
Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,
[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]
Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
Learn more about the volume of the cone:
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Which angles are supplementary to 1 ( Select all that apply)?
Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.
What is a transvarsal line?A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.
We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.
∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.
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A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Elliette is making enough crust to use up 8 cups of flour. How many cups of butter will she need?
the question is in the photo
Answer:
d is vertical so its 70 b c and a combined is also vertical to e so we have 110
Step-by-step explanation:
Rewrite 48+40 using the distributive property with the greatest common factor located in front of the parentheses
Answer:88
Step-by-step explanation:
I need help like actual help
Answer:
look at the explanation
Step-by-step explanation:
hey hey. i’ll help you. sorry if this is long. :)
okay so let’s think about this. there’s a lot of extra information that we don’t need so let’s get rid of everything up to ”7 years”.
now.. she works 40 hours per week right? and she makes $2.13 per hour. so now that we have that, let’s think what 40 x $2.13 is. if you do the math right you should get 85.2 or $85.20. so that’s in one week, but then in a typical week sheserves 75 tables that have an average bill of $4q. so now that we have those numbers, we take 41 x 75 then add it to our weekly number. so we multiply the two together and we get 3075. not 30.75 but $3075.00! so take that and add it to 85.20.. you should get 3160.2, or $3160.20. but then typically an 18% tip, so let’s go back to the number before (41) and find what 18% of 41 is.
18% of 41 is 7.38 or in this case, $7.38. so once we have that, you’re gonna want to multiply 7.38 by 75 to get that total. if you do that you should get 553.5
okay.. now we have all the numbers we need. we’re already basically done, we just need to add the tips to the other total!
$3160.20 + $553.50 = $3713.70
so in a week, she makes $3713.70
i hope this helped you! good luck!
Answer:
Answer vary :
$85.20
Step-by-step explanation:
i did it on the question thing comments. And I’m super positive it’s right.
Find the length of C
HELP ASAP PLZ
Answer:
c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)
Solve for x. If anybody can, can someone help me out with this one? Thank you!!
Answer:
x=3
Step-by-step explanation:
Use the exchange rate £1 = €1.13 to convert €339 into £.
Answer:
£383.07
Step-by-step explanation:
339 X 0.13=44.07
44.07+339=£383.07
Find the common difference for the given sequence.
1.05, 1.1, 1.15, 1.2, ...
0.5
0.05
0.005
Triangle A
Triangle B
Which of the following sequences of transformations will carry triangle A onto triangle B?
O A. Rotate triangle A 90° clockwise about (-1,-4), reflect it over the x-axis, and translate it 3 units to the left.
ОВ.
Translate triangle A 1 unit up and 1 unit to the left, rotate it 90° clockwise about the origin, and reflect it over the y-axis.
Answer:
A
Step-by-step explanation
A
Answer:
Do not trust his answer!! its B
Step-by-step explanation:
I did this question and i picked A because the other person said too but it was wrong
What is the solution set for −4x − 10 ≤ 2?
A x ≤ −3
B x ≥ −3
C x ≤ 2
D x ≥ 2
helppppppppppppppppppppp
What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?
Respond in the space provided.
Answer: 21
Step-by-step explanation:
Formula
(21.2°F − 32) × 5/9 = -6°C
If tax
The ticket price of an item is $14.99.
is 4.5%, what is your total?
Answer: 15.66
Step-by-step explanation:
Convert 2.1 A to nanometers
After 14 years, I shall be three times as old as I was 4 years ago. What is my present age?
Answer:
Present age = 13 years
Step-by-step explanation:
Let the present age be x years.
14 years after age = (x + 14) years
4 years ago age = (x - 4)
According to the given information:
14 years after age = 3 times 4 years ago age
x + 14 = 3(x - 4)
x + 14 = 3x - 12
14 + 12 = 3x - x
26 = 2x
x = 26/2
x = 13 years
Thus, the present age is 13 years
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.
Answer:
300 bags of dog food
Step-by-step explanation:
4b + 2b + b + b = 600
(dog) + (cat) + (bird) + (hamster) = 600
8b = 600
b = 75
Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.
Sally has 42 cookies she wants to eat some and share some with her class if she hopes to share at least 35 with them with her class how many cookies can she eat?
Answer:
7 cookies
Step-by-step explanation:
42 - 35 = 7
MARKING BRAINLIESTPLZZ HELP ME W MY MATH
Answer:
As BVC is similar to RJC
from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12
Y=12
Find the
common factors of 5x²y and - 3x
6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Answer:
452.448in² options D
Step-by-step explanation:
A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Given data
D=24 inches
Radius =d/2= 24/2= 12 inches
Area A
A=πr²
Substitute
A=3.142*12²
A=3.142*144
A=452.448in²
please help!!!!! 15 points!!!!
Answer:
the answer is B
Step-by-step explanation: hope this helps :)
20. Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6)
Parallel
Perpendicular
Neither
Please help fast must be turned in in 3 hours!
Answer:
Parallel
Step-by-step explanation:
QR and ST both parallel to y axis.
The lines are parallel each other. Therefore, option A is the correct answer.
The given coordinate points are Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6).
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
After plotting the given points on the graph, we can see that the lines are parallel to each other.
The lines are parallel each other. Therefore, option A is the correct answer.
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Can somebody tell me which one it is? options are (BE, CF, DG, GF)
Answer:
CF
Step-by-step explanation:
Mark as brainliest please
Please look at picture and answer the simplifying part
Answer:
3/10
Step-by-step explanation:
it is completely simplified already
4(x-3)=20
GUYSS I NEED HELP
Step-by-step explanation:
simplify the bracket
4x-12=20
4x=20+12
4x=32
X=8
which line is perpendicular to the line y=2x+3
Answer:
d
Step-by-step explanation:
Please answer ASAP!!
6.7.30
What is the perimeter of parallelogram WXYZ? It’s not 25 I’ve tried that.
please help i’m sorry!!! 15 points again!
Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent
Answer:
24.53
Step-by-step explanation:
9% of 22.50 = 2.03
22.50 + 2.03 = 24.53
Answer:
24.53
Step-by-step explanation:
