Answer: 960 calories
Step-by-step explanation:
Given
Each hamburger has 50 more calories than each order of fries
Suppose each order of fries has [tex]x[/tex] calories
so, hamburger has [tex]x+50[/tex] calories
There are total of 1700 calories available. Thus, we can write
[tex]\Rightarrow 2(x+50)+3x=1700\\\Rightarrow 2x+3x=1700-100\\\Rightarrow 5x=1600\\\Rightarrow x=320[/tex]
So, each order of fries has [tex]320[/tex] calories
For 3 orders, it is [tex]320\times 3=960[/tex] calories
Determine whether each expression is equivalent to 81^0.5t+0.25
Answer
27^0.5+0.25 or 3^0.5+0.25
3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 81^0.5t+0.25
Simplifying the given expression:
=> 81^0.5t+0.25
Simplify using the exponent power rule: (a^m)^n = (a)^mn
Convert decimal to fraction:
=> (3⁴ )^0.5t + 25/100
Cross out the common factor:
=> 3^2t + 1/4
therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25.
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I need to find X and Y
Can someone pls help me
What is the least common denominator of the equation 2/9x + 2/3x =7 ?
Answer:
that would be 9 as the least common denominator
Step-by-step explanation:
If f (x) = 6x – 5,
find x for f (x = 13
Step-by-step explanation:
f(x)=136x-5=136x=13+5x=18/6x=3hope it helps stay safe healthy and happy....Answer:
Solution :-here,
f (x)= 13
or, 6x-5= 13
or, 6x =13+5
or, 6x = 18
or, x = 18/6
or, x = 3
hope it is helpful to you
What is the best name for Quadrilateral ABCD given the points A(−3,3), B(1,7), C(4,4), and D(0,0)?
A. Rhombus
B. Square
C. Rectangle
D. Parallelogram
Answer:
Rectangle
Step-by-step explanation:
First, we gotta graph it!
It's down below.
Now, what shape is that?
It's a rectangle!
A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you do not select a basketball?
Answer:
18/1
Step-by-step explanation:
I took all of the numbers and added them the subtracted 1 because you don't wanna include the basketball
The probability of not selecting a basketball from the bag is 18/19, or approximately 0.9474 (rounded to four decimal places).
Here, we have,
To find the probability of not selecting a basketball from the bag, we need to calculate the ratio of the number of items that are not basketballs to the total number of items in the bag.
Let's calculate it step by step:
Total number of items in the bag = 8 (tennis balls) + 2 (volleyballs) + 1 (basketball) + 3 (baseballs) + 5 (footballs) = 19.
Number of items that are not basketballs = 8 (tennis balls) + 2 (volleyballs) + 3 (baseballs) + 5 (footballs) = 18.
Therefore, the probability of not selecting a basketball is:
Number of items that are not basketballs / Total number of items in the bag = 18 / 19.
Hence, the probability of not selecting a basketball from the bag is 18/19, or approximately 0.9474 (rounded to four decimal places).
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A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following numbers is not a factorial prime?
4! - 1 = 23
6! - 1 = 719
5! - 1 = 119
3! - 1 = 5
Answer:
Step-by-step explanation:
please help ASAP
ITS 14 points
Answer:
area= 62.88
Step-by-step explanation:
to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.
now find the area of the whole circle and divide it in half.
A= pi * r^2 / 2
A= 3.14 * 4^2 /2
A= 3.14 * 16 / 2
A= 25.12
Now take the area of the semi-circle and subtract it from the whole figure.
88-25.12=62.88
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
4+1=5,5+2=12,6+3=21,8+11?
Hello~
4+1=5
5+2=12
6+3=21
8+11 =
The First one is correct!
Ary~
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories. About how many servings are in the package?
Answer:
Number of servings= 48.05
Step-by-step explanation:
Giving the following information:
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories.
To calculate the number of servings, we need to use the following formula:
Number of servings= total calories / calories per serving
Number of servings= 3,460 / 72
Number of servings= 48.05
Solve the system of equations by using substitution.
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
[tex]y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3[/tex]
[tex]x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1[/tex]
Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He wants to know how many ounces of liquid each measuring cup can hold. He first filled a 80 ounce mixing bowl with 8 large cups and 4 medium cups of liquid. 4 large cups and 12 medium cups of liquid. How many ounces each cup holds?
Answer:
L = 16oz
M = 12oz
S = 8oz
Step-by-step explanation:
8 large equal to 128oz ( 8 x 16 = 128 )
4 medium equal to 48oz ( 4 x 12 = 48
4 large equal to 64oz ( 4 x 16 = 64
12 medium equal to 144oz ( 12 x 12 = 144 )
Total of oz equal 384oz
384 - 80 = 304/80 = 3.8
3 more bowl of 80oz and 5 Mcup and 1/2 Scup
Ashley goes to the fair. She is charged $15.00 for admission plus $0.50 for each ride ticket. Ashley has $24.00 to spend at the fair. Write and solve an inequality to represent this situation. Explain what the solution to the inequality means in this situation.
Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
Write the standard equation of each circle below
If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?
(Note, the picture below is not drawn to scale, don't hold a protractor up to your screen)
Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
Niveen makes muffins and sells them for $0.65 each. To make 12 muffins, she must spend $5.25 on muffin mix, $0.75 on vegetable oil, and $0.87 on eggs. The smallest batch of muffins Niveen can make is 12 muffins.
what would result in Niveen earning a profit?
Answer:
selling 36 muffins at a discount rate of 10% off the original price
Step-by-step explanation:
The diameter of a circle is 2 inches. What is the circle's circumfere
Use 3.14 for u.
PLS HELP!!!
Answer:
[tex]6.28\:\mathrm{in}[/tex]
Step-by-step explanation:
The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.
Therefore, we have:
[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]
Answer:
6.28in or 6.3in
Step-by-step explanation:
All I did was multiply pie by diameter or multiply it by its radius, which is 1.
C = 2(3.14)(1)
= 6.28
or
C = (3.14)(2)
= 6.28
Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd
Answer:
d. 84 yd
Step-by-step explanation:
[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]
which statement is not guaranteed to be true
Answer:
Diagonal AC is NOT perpendicular to diagonal BD
Step-by-step explanation:
I need help please!!:)
Answer:
No bcuz its not on the line
Step-by-step explanation:
nadia made a model of the garage each edge of the real garbage is 4 times the length of the edge of the model which statement about volumes is true?
√2,√5,√9,√15 order from least to greatest
Laura has a 12-foot ladder. The safety instructions recommend the base of the ladder be placed 4 feet from the base of the wall. How high will the ladder be able to reach on the wall? BRAINLIEST FOR CORRECT ANSWER!!!!
Answer:
3
Step-by-step explanation:
12÷4=3
Have a good day:)
Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.
What is the range of their heights?
Answer:
6 cm
Step-by-step explanation:
To find the range take the largest number and subtract the smallest number
The largest number is 141 and the smallest number is 135
141 - 135 = 6 cm
what is the value of x,if x=3²
Answer:
x=9
Step-by-step explanation:
x = 3^2
x = 3*3
x=9
What is the radius of a circle with a circumference of 26 meters?
Answer: 4.14 m.
Step-by-step explanation:
c= feet? help me please
Area of triangle please help
Answer:
A= 18
Step-by-step explanation:
Answer:
18 your answer is correct
Step-by-step explanation:
12x3=36
36÷2=18