The cost of each hamburger is $ 3.5
Solution:
Given that, Daniel purchased one hotdog for $2.50 and three hamburgers
He spent $ 13 in total
Let "H" be the cost of each hamburger
From given,
one hotdog for $2.50 + three hamburgers each for "H" = $ 13
Thus we get,
[tex]1 \times 2.50 + 3 \times H = 13\\\\2.50 + 3H = 13\\\\\text{Solve the above equation for H}\\\\3H = 13 - 2.50\\\\3H = 10.5\\\\\text{Divide both sides of equation by 3}\\\\H = 3.5[/tex]
Thus cost of each hamburger is $ 3.5
Daniel buys one hotdog for $2.50 and three hamburgers, spending a total of $13. We find the cost of each hamburger by the equation $2.50 + 3H = $13, solve for H, and determine that each hamburger costs $3.50.
Explanation:The problem involves finding the cost of each hamburger that Daniel buys, given that he purchases one hotdog for $2.50 and three hamburgers for a total of $13. To solve this equation, we let H represent the amount each hamburger costs. The total cost of the hotdog and hamburgers together is $13. Therefore, the equation we can write is 1 hotdog + 3 hamburgers = total cost, or $2.50 + 3H = $13. To find H, we subtract the cost of the hotdog from the total cost, which gives us 3H = $13 - $2.50, resulting in 3H = $10.50. Finally, we divide both sides by 3 to find the cost of one hamburger: H = $10.50 / 3, which is H = $3.50. Therefore, each hamburger costs $3.50.
The radius of a circle is 2 meters. What is the circle's circumference?
(Another part with the picture(Will give brainiest))
Answer:
C≈12.57
Step-by-step explanation:
The formula for circumference if 2(3.14) * r
The r represents the radius do you would just take 2 * 3.14 which is 6.28.
Next, you would take 6.28 * r (which is 2 meters) and you get 12.566, but if you're rounding it would be 12.57.
Make sure to label your answers
I hope this helped!
if angles of a triangle are 2 is to 3 is to 4 is to .find the value of each angle
Answer:
Angles of triangle are 40°,60° and 80°.
Step-by-step explanation:
Given:
if angles of a triangle are 2 is to 3 is to 4.
Let the common factor between the angles be 'x'.
So we can say that;
Angle 1 = [tex]2x[/tex]
Angle 2 = [tex]3x[/tex]
Angle 3 = [tex]4x[/tex]
We need to find the value of each angle.
Solution:
Now we know that;
"Sum of all angles of triangle is 180°."
framing in equation form we get;
[tex]Angle \ 1+Angle\ 2+Angle \ 3 =180[/tex]
Substituting the values we get;
[tex]2x+3x+4x=180\\\\9x=180[/tex]
Dividing both side by 9 we get;
[tex]\frac{9x}{9}=\frac{180}{9}\\\\x=20[/tex]
Angle 1 = [tex]2x=2\times20=40\°[/tex].
Angle 2 = [tex]3x=3\times20=60\°[/tex]
Angle 3 = [tex]4x=4\times20=80\°[/tex]
Hence Angles of triangle are 40°,60° and 80°.
The volume, V, of gas varies inversely with the pressure, P, on it. If the volume is 320 cm^3 under pressure of 40 kg/cm^2, what pressure has to be applied to have a volume of 200 cm^3?
Fill in the blank:
Answer: _________ kg/cm^2
The pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]
Explanation:
According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.
[tex]P_{1} \cdot V_{1}=P_{2} \cdot V_{2}[/tex]
Substituting the values, we get,
[tex]40 \times 320=P_{2} \times 200[/tex]
Dividing both sides by 200,
[tex]\frac{40 \times 320}{200}=P_{2}[/tex]
Simplifying the terms, we get,
[tex]\begin{aligned}\frac{12800}{200} &=P_{2} \\64 &=P_{2}\end{aligned}[/tex]
Thus, the pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]
Which of the following is the best description for this pair of angles?
Answer:
Supplementary
Step-by-step explanation:
Supplementary angles add to 180 degrees.
Answer:
Supplementary
Step-by-step explanation:
VSW and TSW combine and make 180. Complementary is when they make up to 90
What is the distributive property to create an equivalent expression to 9x+21
Answer:
3(3x+7)
Step-by-step explanation:
9x+21=3(3x+7)
Which expression is equivalent to 0.18?
A. 1/9
B. 2/11
C. 1/11
D. 11/2
Side note I can do this my self but im too lazy. plus, if anyone wants some easy points just answer this question. I dont feel like dividing.
Among the options given, 2/11 is most similar to 0.18 when we convert these fractions to their decimal format. Remember that this is an approximation since 2/11 results in a repeating decimal.
Explanation:The given expression is equivalent to 0.18. To find out which among the provided options this is equivalent to, we need to convert these fractions to decimal format. Let's start with A.
A. 1/9 is equal 0.111 repeating.
B. 2/11 equals approximately 0.1818 repeating.
C. 1/11 equals approximately 0.0909 repeating.
D. 11/2 equals 5.5.
Comparing these to our given expression of 0.18, we find that Option B (2/11) is most closely equivalent after rounding. It's worth noting the repeating decimal in 2/11, which is why it is an approximation rather than an exact equivalent.
Learn more about Equivalent Fractions here:https://brainly.com/question/18040047
#SPJ12
HELP!!! A cell phone is 132 mm long and 57 mm wide. What is ratio of the width and length in simplest form.
The ratio of width to length in simplest form is 19 : 44
Solution:
Given that, A cell phone is 132 mm long and 57 mm wide
Length of cell phone = 132 mm
Width of cell phone = 57 mm
We have to find the ratio of width and length in simplest form
[tex]\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}[/tex]
In ratio form, we know that,
[tex]\frac{a}{b} = a : b[/tex]
Writing in ratio form, we get
Width : length = 19 : 44
Thus the ratio of width to length in simplest form is 19 : 44
SOLVE THE EQUATION
10=8h
h=?
Answer: h = 1.25
Step-by-step explanation:
divide 10 by 8 to get 1.25 or 5/4
In this question, you're solving for h.
Solve for h:
10=8h
"h" can't have a number next to it, it has to be by itself, so divide both sides by 8
1.25 = h
Answer:
1.25 = h
Four tomatoes cost $3.40. What is the unit rate?
Answer:
$0.85 per tomato
Step-by-step explanation:
A unit rate is the cost for one item. Like $0.99 for this one bag of skittles.
So $3.40 divided by four is $0.85.
The unit rate would be 0.85. If you divide 3.40 by 4 you 0.85
5. The average of 4, -8, 6, 14, -3 is
What is six minus negative two x?
Answer:
Therefore the Expression will be.
[tex]6-(-2x)[/tex]
[tex]6+2x[/tex] ...As minus - minus sign becomes plus.
Step-by-step explanation:
What is six minus negative two x?
Solution:
It is the Algebraic Expression in Statement form.
Algebraic Expression is given in the form numbers and variables with the operands such as
' + ' Plus Sign' - ' Minus Sign ' × ' Multiplication Sign ' ÷ ' Division Sign, etc.Hence Our Statement is " six minus negative two x "
i.e. Number 6 minus sign then again a minus sign of 2x.
Therefore the Expression will be.
[tex]6-(-2x)[/tex]
Also equals
[tex]6+2x[/tex] ...As minus - minus sign becomes plus.
The following graph shows the solution to which system of inequalities?
Answer:
y ≤ 3x-4
-1 ≤ y ≤ 2
step by step explanation:
the highlighted area is situated under the line of equation y=3x-4 and respectivelybetween the two lines of equations y=-1 and y=2
Then the system of inequalities is :
y ≤ 3x-4
-1 ≤ y ≤ 2
Answer:
y ≤ 3x-4
-1 ≤ y ≤ 2
4. Determine if the equation is a linear equation:
8x + 9y = -19
yes
no
Answer: it is linear
Step-by-step explanation:
It is linear because the highest power of the unknown variable is 1
Add 8 to h, then add 5 to the result
Answer:
(h+8)+5
Step-by-step explanation:
First, you need to add 8 to h, which is h+8 and then you need to add 5 to the result, which means you need to put parentheses around h+8 because you need to do that first. then your answer becomes (h+8)+5.
After adding 8 to h and then 5 to the result, the final value will be h + 13.
To perform the specified operations, you first need to add 8 to the value of h and then add 5 to the result. This can be expressed as a mathematical expression:
Result = (h + 8) + 5
Start with the value of h.
Add 8 to it, which gives you (h + 8).
Now, take the result from step 2 and add 5 to it, yielding the final result.
This process essentially means you're increasing the original value of h by 8, and then further increasing the updated value by 5. The final result will be h + 8 + 5, or simply h + 13.
So, the answer is that you will end up with a value equal to h + 13 after performing these operations.
To learn more about expression
https://brainly.com/question/1859113
#SPJ12
What is the denominator of zero
Answer:Any number
Step-by-step explanation:
Use the values in the table to determine the slope
Answer:
sorry where is the table? i dont see the picture... mabye it isnt loading for some-reason
Step-by-step explanation:
sorry wish i could help :(
Answer:
I don't know which table you need help with, so.. Yeah, this may or may not be what you need help with.
But the answer to the table I put is -3/2
Step-by-step explanation:
Sorry if this wasn't what you were looking for!
Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How much money will she earn in interest over 6 years?
A.
$4,050
B.
$1,500
C.
$3,845
D.
4,500
Option A
The simple interest earned over 6 years is $ 4050
Solution:
Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year
The formula for simple interest is given as:
[tex]Simple\ Interest = \frac{p \times n \times r}{100}[/tex]
Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest
From given,
p = 15000
r = 4.5 %
n = 6 years
Substituting the values we get,
[tex]Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050[/tex]
Thus simple interest earned over 6 years is $ 4050
Final answer:
Martha will earn $4,050 in simple interest over 6 years on her $15,000 savings account at a 4.5% annual rate. This is calculated using the simple interest formula, Interest = Principal × Rate × Time.
Explanation:
To calculate the simple interest that Martha will earn over a period of 6 years, we will use the formula for simple interest: Interest = Principal × Rate × Time. Here, the principal amount is $15,000, the annual interest rate is 4.5% (which is 0.045 in decimal form), and the time is 6 years.
Let's plug these values into the formula:
Interest = $15,000 × 0.045 × 6
Interest = $15,000 × 0.27
Interest = $4,050
Therefore, the total amount of interest Martha will earn over 6 years is $4,050, which matches option A.
right triangle ABC has to legs of lengths 9 cm (AB) and 12 cm (AC). what is the length of the third side (BC)?
a. 6 cm
b. 8 cm
c. 14 cm
d. 15 cm
Answer:
D. 15 cm
Step-by-step explanation:
9² + 12² = x²
81 + 144 = x²
225 = x²
√225 = x
15 = x
The point (-2,5) satisfies the inequality y + 2x2 -7.
Answer:
false?
Step-by-step explanation:
do u mean equals? and the x is x not multiply?
Find the unit rate. Three medium apples have about 285 calories.
Answer:A “unit rate” is the average rate for a single unit. This is found by dividing the total amount of an item by the number of units in the group. In this case we have the ratio of (3285) Applescalories .
Step-by-step explanation:
21+x=26 what is the answer I need it done step by step
Answer: x=5
Step-by-step explanation:
21+x=26 (you need to isolate x)
-21 -21 (inverse operation to isolate x)
(subtract 21 from 26)
x=5
Answer: x = 5
Step-by-step explanation: In this problem, we want to get x by itself on one side of the equation. Since we have 21 + x, in order to get x by itself, we must subtract 21 from the left side of the equation and when we subtract 21 from the left side of the equation, we must also subtract 21 from the right side of the equation in order to keep our equation balanced.
So on the left, +25 and -25 cancel eachother out and on the right, 26 - 21 simplifies to 5 so x = 5. To check our answer, we plug 5 back in for x in the original equation and we get 21 + (5) = 26 or 26 = 26 which is a true statement so we know our answer is correct.
word problem for 456 divided by 6
Answer:
76
Step-by-step explanation:
456 divided by 6 equals 76. Hope that helps.
Answer
Emma made 456 cookies and she wanted to divid them to 6 friends. how manny cookies will each friend get?
Step-by-step explanation:
Describe a Whats a real-life example that you can represent by -1200
Answer:
Step-by-step explanation:
well you could say a person lost a $1200 bet on anything and go from their.
Or someone payed a bill for his Car payment of $1200
wide all along its perimeter. What is an expression for
A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 2 in wide all along its perimeter what is an expression for
the area of the framed portrait in terms of w?
O A 1.5w2 + 5w + 4
B. 1.5w? + 8w + 8
C
1.5w2 + 8,5W + 16
O
D. 1.5w2 + 10w + 16
Answer:
1.5w² + 10w + 16 sq, inches.
Step-by-step explanation:
The height of the portrait without the frame is 1.5 times its width.
Let the height is 1.5w inches and width is w inches.
Now, the frame around the portrait is 2 inches wide.
So, the dimensions of the portrait with frame are (1.5w + 4) inches by (w + 4) inches.
Therefore, the area of the framed portrait will be
(1.5w + 4)(w + 4)
= 1.5w² + 10w + 16 sq, inches. (Answer)
a+12/3=8 what is the answer to this math problem
Answer:
4
Step-by-step explanation:
a + 12/3 = 8
a + 4 = 8
a = 8 - 4
a = 4
Answer:
a=4
Step-by-step explanation:
a+12/3=8
a+4=8
a=8-4
a=4
An exotic dancer pole is 16 feet tall. How tall would the pole be if 2 more poles were added on top?
Answer:48 feet
Step-by-step explanation:
16x3=48
Answer:38 feet tall
Step-by-step explanation:
Is a rectangle always a parallelogram?
Yes or No
Yes, a rectangle is always a parallelogram.
The answer is yes.
Rectangles are quadrilaterals with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.
Sergio has 10 leftover cookies and that he wants to share equally with four students from his class. How many cookies will each other four students get?
Answer:
2
Step-by-step explanation:
There is 5 people since there are 4 students then you. So you would do 10 divided by 5 which is 2.
ordan has 168 inches of string. He cuts the string into 6 equal pieces. He cuts another 8 inches from each piece.
How long is each piece of string?
Each piece is 20 inches long.
Step-by-step explanation:
The length pieces of the ribbon can be obtained by dividing the total length of ribbon by total number of pieces
Given
String length = 168 inches
Number of pieces = 6
So the length of each piece will be:
[tex]Length\ of\ each\ piece = \frac{Length\ of\ string}{Number\ of\ pieces}\\= \frac{168}{6}\\= 28\ inches[/tex]
Cutting 8 inches from each piece means that the length will be reduced 8 inches
[tex]Length\ after\ cutting\ 8\ inches = \ length\ of\ each\ piece - 8\\= 28-8\\=20\ inches[/tex]
Hence,
Each piece is 20 inches long.
Keywords: Division, length
Learn more about lengths at:
brainly.com/question/9527632brainly.com/question/9527422#LearnwithBrainly
Answer:
20
Step-by-step explanation:
i have no idea
2. What are the means of the following proportion?
3/15 = 12/60
A. 15 and 12
B. 3 and 15
C. 3 and 60
D. 12 and 60
Answer:
Step-by-step explanation:
A) 15 and 12