A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers
Step-by-step explanation:
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the smallest of three consecutive integers, write an expression for the largest number.
Answer:
n +2
Step-by-step explanation:
If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.
Since the smallest number is n,
2nd consecutive number= n +1
3rd consecutive number
= n +1 +1
= n +2
Thus, the expression for the largest number is n +2.
Let's check!
If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.
3rd consecutive number
= n +2
= 1 +2
= 3 (✓)
Thus, the expression is correct.
plsss help 6th grade math
Answer: D
Step-by-step explanation:
If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.
I need help solving these!!!!
Answer:
4. y = -1/2x + 5
5. y = -1/3x + 3
6. y = 1
Step-by-step explanation:
For #4:
Because these lines are parallel, we know that they will have the same slope.
To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/
For #5:
These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.
The reciprocal of 3 is -1/3.
To get the y-intercept, I did the same as above.
For #6:
x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.
That means that our answer is y = ?
We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.
So, y = 1.
I hope this helps!
Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.
Answer:
Attachment given answer
Step-by-step explanation:
I gave you the answer but if you have any questions let me know.
Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.
f(x) = x^3 + 2x, [-1,1]
Answer:
There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.
If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]
[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)
The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.
According to the Mean Value Theorem, the following relationship is fulfilled:
[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)
If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:
[tex]3\cdot c^{2}+2 = 3[/tex]
[tex]3\cdot c^{2} = 1[/tex]
[tex]c = \sqrt{\frac{1}{3} }[/tex]
[tex]c \approx 0.577[/tex]
There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].
For signing up for the rewards program at a pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need to order to get a free one?
Answer:
20 pizzas
Step-by-step explanation:
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help
Answer:
y = -9/8x+7
Step-by-step explanation:
First Find The Slope: 7--2/0-8=-9/8
Find Y Intercept=7
Than Write Equation: y=-9/8x+7
Find the unit price for 9 colored pencils for $56
Answer:
6 2/9
Step-by-step explanation:
56/9
what is 2/3 divdided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Will mark as brainless if you answer correctly
Answer:
ans=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10(4-7) / -(4 - 1)
10(-3) / -(3)
-30 / -3 =
10
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).
Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)
Step-by-step explanation: I guessed on my test and got it right. PLATO
Factor -6 out of 18z - 15
In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:
Given:
[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]
To find:
Factor=?
Solution:
[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".
Learn more:
brainly.com/question/19310237
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
Store C
Step-by-step explanation:
$7.56÷7=$1.08 a candy bar
The sum of two numbers is 38. The smaller number is 22 less than the larger number. What are the numbers?
Answer:
30 and 8
Step-by-step explanation:
30 - 8 = 22
Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.
Answer:
420 funny number
Step-by-step explanation:
when a pendulum swings, at which point is potential energy highest?
-413.4=-15.9n please help
Answer:
[tex]\boxed {n = 26}[/tex]
Step-by-step explanation:
Solve for [tex]n[/tex]:
[tex]-413.4 = -15.9n[/tex]
-Switch sides:
[tex]-15.9n = -413.4[/tex]
-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:
[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]
[tex]n = \frac{-4134}{-159}[/tex]
-Divide [tex]-4134[/tex] and [tex]-159[/tex]:
[tex]n = \frac{-4134}{-159}[/tex]
[tex]\boxed {n = 26}[/tex]
Therefore, the value of [tex]n[/tex] is [tex]26[/tex].
what is a square of 1.5cm
Answer:
a square with 1.5 cm width and height
Answer:
2.25
Step-by-step explanation:
1.5 * 1.5 = 2.25.
Read the following statement: Line segment MN is congruent to line segment OP.
Which of the following is an equivalent statement?
a
MN overbar is similar to OP overbar
b
MN overbar equals OP overbar
c
MN overbar is congruent to OP overbar
d
MN overbar is an element of OP overbar
Answer:c
Step-by-step explanation:
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation:
Find the slope of the line.
HELP!!! this is due in 5mins...will give brainliest-
The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 9 feet, the area of the resulting rectangle is 80 square feet. What is the area of the original rectangle?
55
35
25
Answer:
66
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
No explanation bc due in 5 mins
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.
Answer:
Answer is C
Step-by-step explanation:
There is not enough samples.
Answer:
Yes, the variation of the sample means is small.
Step-by-step explanation:
What percent is:
45 of 36
Answer:
45 is 125% of 36, and 36 is 80% of 45.
Step-by-step explanation:
10 Lakh More Than 93,23,654
Answer:
10,323,654
Step-by-step explanation:
Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39
Please answer this correctly without making mistakes
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!
Over a period of 12 hours the temperature dropped 36°F what was the average change in temperature in one hour?
Answer:
3°F
Step-by-step explanation:
36 divided by 12 is 3
Answer:
3 degrees F
Step-by-step explanation:
36/12 = 3
help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.
Answer:
$1400x + $150
Step-by-step explanation:
Let the total cost of rent used for a month be $1400 plus a $150 application fee.
This means that;
Total cost (1 month) = $1400(1) + $150 = $1550
TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.
The cost of rent for x month = 1400x * $150
The cost of rent for x month = $1400x + $150 (application fee are paid only once)