Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
What is a system of linear equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.
Let p = packet of peanuts and h = hotdogs
Establishing the system of linear equations to find the cost of one each,
3p + 4h = 14.50.............(i)
p + 6h = 13
p = 13 - 6h........(ii)
Put eq (ii) in the eq(i)
3(13-6h) + 4h = 14.50
39 - 18h + 4h = 14.50
-14h = -24.5
h = 1.75
Put h = 1.75 in eq(ii)
p = 13 - 6(1.75)
p = 2.5
Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75
Therefore, 6 package of peanuts and 10 hotdogs will costs =
6(2.5) + 10(1.75) = 15 + 17.5 = $32.5
Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
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Find area of the composite figure
Answer:
517 sq. cm
Step-by-step explanation:
Area of the figure = area of triangle + area of semicircle
Area of semi circle = πr²/2
Area of semi circle = 3.14*15²/2
Area of semi circle = 353.25 sq.cm
Area of the triangle = a/2 * base * height
Base = 30cm
Height h² = 39² - 15²
h² = 1521 - 225
h² = 1296
h = 10.90cm
Area of triangle = 1/2 * 10.90 * 30
Area of triangle = 15 * 10.90
Area of triangle = 163.5 sq. cm
Area of figure = 353.25 + 163.5
Area of figure = 516.75 sq. cm
Area of figure = 517 sq. cm
Linear Equations
15 - b = 3a + 3
Please help me with this ASAP
Answer:
Step-by-step explanation:
15 - x = 3x + 3
15 - x = 3•x + 3
4x = 12
x = 3
Sorry, I change the b and a into x's if that's fine with you.
The Martz family pays a rate of 37.5 mills the property tax versus value of the home is 68,000 what is the property tax
If the property tax versus value of the home is 68,000 the property tax is $2,550.
Property taxUsing this formula
Property tax=Mills rate× Property value /1000
Where:
Mills rate=37.5
Property value=$68,000
Let plug in the formula
Property tax=37.5×68,000/1000
Property tax=$2,550,000/1000
Property tax=$2,550
Or
Convert the mills rates to dollar rate amounts by dividing the mill rate by 1,000 and then multiply it by the property value.
Property tax=37.5/1000×$68,000
Property tax=$2,550
Inconclusion the property tax is $2,550.
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At Anthony's school, 260 of the 500 students are girls. At Theresa's school, 360 of the 600 students are girls. Whose school has the greater percent of girls.
Answer:
Theresa school has greater % of girls
Step-by-step explanation:
Given
Number of girl in the Anthony school = 260
Total student in Anthony school = 500
% of girl in the Anthony school = 260/500 * 100 = 52 %
Number of girl in the Theresa school = 360
Total student in Theresa school = 600
% of girl in the Theresa school = 360/600 * 100 = 60%
Theresa school has greater % of girls
What is the length of BC, given that figure ABCD is a rectangle?
B
с
12
А
18
D
O A. 6
O B.9
C. 18
O D. 12
HELPPP MEEE PLEASEE ASAPPPPP
Answer:
C
Step-by-step explanation:
ABCD is a rectangle so BC = AD
Since opposite side of a rectangle are equal in length, the side BC is equals to AD. Therefore, side BCis equals to 18 units.
Properties of a rectangleOpposite sides are equalOpposite sides of a rectangle are parallelAll the angles of a rectangle are equals to 90 degrees.The diagonals of a rectangle are equal in length.The diagonal bisect each other at there point of intersection.
Since opposite sides are equal in length. Therefore,
AD ≅ BC
AB ≅ CD
Hence,
BC = 18 units.
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2
Angle 1 and angle 2 are complementary. If m21
36°, what is m_2?
m2 =
Answer:
54
Step-by-step explanation:
Complementary angles add up to equal 90
If ∠1 and ∠2 are complementary angles then ∠1 + ∠2 = 90
if ∠1 = 36 then 36 + ∠2 = 90
90 - 36 = 54
Hence, ∠2 = 54
1. Ram is 8 years now he is 5 years elder than his brother Gopal. Gopal ` s ago after 7 years will be and solve 2. the sum of two consecutive multiples of 5 is 55 the two multiples are and solve
Answer:
Gopal will be 10 in 7 years.
Step-by-step explanation:
Equation 1 : If ram is 8 now, and gopal is 5 years younger, he is 3 now.
In 7 years Gopal will be 10.
Find the area of the triangle
The area is __yd^2
Answer:
13.5 yd²
Step-by-step explanation:
area = 1/2 ×4.5×6 = 13.5 yd²
Step-by-step explanation:
A=(base x height)/2
Base=6yd
Height=4.5yd
A=(4.5 x 6)/2 = 13.5yd^2
Find the quotient. 9,414 ÷ 18
Answer:
=523
Step-by-step explanation:
9414/18 = 523
Help plz!!!! WILL MARK BRANLIEST
Answer: 27/64
Step-by-step explanation:
Trust me
Help me with this please
Answer:
F'
Your answer is correct
Step-by-step explanation:
The image most of the time we will put ' prime on it to let the other know that this is the image
HELP PLEASE ASAP PLEASE TYSM TYSM WILK+L MARK BRAINLIEST! IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM HELP ASAP PLEASE TYSM
On one side of the square, it is 4.5 units long. The formula in finding the area of a square is A = s^2, where s is for side. The formula can also be A = s * s in which both formulas are the same and will result in the same answer. So overall, the area of the square is 20.25 or 20 ¼ square units. Hope this helps!
use the diagram to answer the question.
Answer:
Step-by-step explanation:
25+105+x=180 degree(being sum of the interior angles of a triangle)
130+x=180
x=180-130
x=50 degree
Answer:
B. 50
Step-by-step explanation:
total angle of triangle = 180⁰
hence,
25 + 105 + x = 180
x = 50
therefore ans is B. 50⁰
Divide. Reduce your answer to lowest terms.
5 and 5/7 divided by -5
Answer:
-1 and 1/7
Step-by-step explanation:
one way
5 and 5/7 = ((5*7)+5) / 7 = 40/7
(40/7 ) / -5 = (40/7) * (-1/5) = -40/35 = -1 and 5/35 = -1 and 1/7
another way
(5 and 5/7) / -5 = 5/-5 and (5/7) * (1/5) = -1 and 1/7
Find the exact length of the third side.
30
72
1875/10000 as a simplified mixed number
Answer:
3/16
Step-by-step explanation:
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 1875/10000
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 1875 & 10000 is 625
step 3 divide the numerator & denominator by GCD 625 and rewrite the fraction
= (1875/625) / (10000/625)
= 3/16
Thus, 3/16 is the simplified fraction for 1875/10000 by using the GCD or HCF method.
Answer:
Step-by-step explanation:
When rolling a pair of dice, what is the probability (as a percent) that each die will land on an even number?
Answer:
The probability of getting an even number at the first die is 1/2 (as the probability of even = the probability of odd = 1/2); 2. The probability of getting a total of 8 is 5/6^2, as there are 5 different favorable scenarios: (2,6), (6,2), (3,5), (5,3) and (4,4);
Step-by-step explanation:
does anyone have flvs geometry?
Answer:
Step-by-step explanation: I don't
Answer:
yes
Step-by-step explanation:
I do
I don't know how to solve this 2/4 + 3/8=?
Answer:
7/8
Step-by-step explanation:
look it up
your wel3
Answer: [tex]\frac{7}{8}[/tex] or 0.875 in decimal form.
Step-by-step explanation:
Okay, so to solve this, the easiest method is to find a common denominator. While we could try using trial and error or if you know your tables really well, I don't so we will just multiply the denominators which is 8 and 4. We then multiply 8 and 4 which is 32.
To convert the fractions we have, we multiply both the numerator and denominator of each, by the multiple that multiplies the denominator to 32.
[tex]\frac{2}{4}[/tex] multiply both 4 and 2 by 8. Now we have [tex]\frac{16}{32}[/tex].
Same thing with the second number. We have [tex]\frac{3}{8}[/tex]. We multiply both the numerator and the denominator by 4. 3*4 is 12, 8*4 is 32.
Now we have [tex]\frac{12}{32}[/tex].
Now that both fractions have common denominators, we can add the numerators. [tex]\frac{16}{32} +\frac{12}{32} = \frac{28}{32}[/tex]
Now we have the answer, [tex]\frac{28}{32}[/tex], but is that it?
No. Now to find the final two answers, we simply [tex]\frac{28}{32}[/tex].
To simplify, we find the Greatest Common Factor of 28 and 32, which in this case happens to be 4. This is the highest number that either of those can be divided by to provide a normal whole number
After solving [tex]\frac{28/4}{32/4} =\frac{7}{8}[/tex]
That is our final answer. [tex]\frac{7}{8}[/tex].
If necessary, you can convert it to decimal form through simple division and end up with 0.875.
PLEASE HELP :)
Which statement is true?
Answer:
its the set free for each job is 45
if there are 420 students in a school.if 40% of them are girls find the number of girls
Answer:
168 girls
Step-by-step explanation:
420 × 0.40
= 168
Answer:
Step-by-step explanation:
no of students=420
girls percentage=40%
no of girls=40/100*420
=16800/100
=168
therefore number of girls is 168.
ASAP
-WILL MARK BRIANIST
Answer:
C and D
Step-by-step explanation:
C and D are the answers because when you simplify D which is 95/100 × 6 you get 0.95×6 which is the same thing as c
Can someone pls give me the answer to this?
Answer:
A
Step-by-step explanation:
It went down 5 so y-5 and it also went left 6 so x-6
(x-6,y-5)
I'm pretty sure the top right is before it was moved
Brainliest Appreciated! :)
Answer:
D
Step-by-step explanation:
lets take one point of each triangle
A(-5,-4) A´(1,1)
-5 to 1 is 6
-4 to 1 is 5
( x + 6, y - 5 )
Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1
Please explain the steps too. Thank you. :)
Answer:
x =1 and y=-1
Step-by-step explanation:
2x - 3y=-1
x-y=1
there for ok there is a lot of steps i had to do so ill take a pic of it
and the big one is the first one
Which is a prime number 63 , 7, 27, 33
Answer:
7
Step-by-step explanation:
63 can be divided by 3, 7, 9, 21
27 can be divided by 3, 9
33 can be divided by 3, 11
Answer:
The correct answer is 7.
Step-by-step explanation:
A prime number is a number whose factors only include 1 and that number itself, examples of prime numbers would be 2 (1; 2), 5 (1; 5), and 11 (1; 11). In order to find the prime number, you must calculate all factors in each number. 63 has the following factors: 1; 3; 7; 9; 21; 63, so it isn't a prime number. 27 has the following factors: 1; 3; 9; 27, so it isn't a prime number. 33 has the following factors: 1; 3; 11; 33, so it also isn't a prime number. 7 only has two factors, 1 and 7, meaning that it is a prime number. Hence, this would be the correct answer.
What is the value of A?
Answer:
a = 156
Step-by-step explanation:
24 and a form a straight line so they add to 180 degrees
24 +a = 180
Subtract 24 from each side
24+a-24 = 180-24
a = 156
What is the area of the given figure in square centimeters?
Please help, it's very important!
The driver gear has 4 teeth (T), and its speed is 80 RPM. The driven gear needs a speed of 40 rpm. How many teeth (t) should it have?
The driver gear has 40 teeth (T). The driven gear has 10 teeth (t), and a speed of 12 rpm. What is the speed (RPM) of the driver gear?
Thank you so much!!!
Answer:
The gear ratio is calculated by dividing the output speed by the input speed (i= Ws/ We) or by dividing the number of teeth of the driving gear by the number of teeth of the driven gear (i= Ze/ Zs)
Regina got 48 of 60 items on a test correct. What percent of the question did she answers correctly?
Answer:
80%
Step-by-step explanation:
48/60 x 100
= 240/3
= 80%
What is the value of t?
39 degrees
t
59 degrees
Answer:
t = 59°
Step-by-step explanation:
t and 59° are vertically opposite angles and are congruent , so
t = 59°