Answer:
-87Step-by-step explanation:
−48−(−6)−45
=−42−45
=−87
Answer:
-87
Step-by-step explanation:
At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs
Answer:
Answer is D (2 drinks and 5 hotdog's)
Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.
You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?This can be modeled by mathematical expression with use of variables, and inequality.
Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.
Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,
[tex]1.5x + 2.75y \leq18[/tex]
Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)For 2 drinks:
Since x = amount of drinks = 2, thus from the obtained inequality, we have:
[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]
We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18
Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.
For 3 drinks:
Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.
Thus,
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
Learn more about inequalities here:
https://brainly.com/question/11901702
Simplify the expression. Make sure all final answers are clearly labeled. Show all work.
3 divided by 2+√5
Answer:2 1/3
Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3
EASY QUESTION find the next four terms in the arithmetic sequence 11,15, 18
Answer:
20, 21, 21, 18
Step-by-step explanation:
A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.
Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014cups
2212cups
2434cups
2512cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.
I would round 214 to 2, so Henry would need about 30 cups of flour.
I would round 214 to 3, so Henry would need about 45 cups of flour.
I would round 214 to 1, so Henry would need about 15 cups of flour.
I would round 214 to 234, so Henry would need about 30 cups of flour.
Answer:
Step-by-step explanation:
A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.
Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014cups
2212cups
2434cups
2512cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.
I would round 214 to 2, so Henry would need about 30 cups of flour.
I would round 214 to 3, so Henry would need about 45 cups of flour.
I would round 214 to 1, so Henry would need about 15 cups of flour.
I would round 214 to 234, so Henry would need about 30 cups of flour.
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ratio but a driver with 34 teeth, how many teeth must go on the the driven gear?
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x
[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]
∴ 10 teeth must go on the driven gear
hence ratio = 34:10
Please answer I need it asap you don’t have to show your work !!!
Answer:
looks like its a 53 dont count on my answer
Step-by-step explanation:
How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number
Please open the document to see the picture of the triangle. Find the area of the triangle. Remember: 1/2bh (1/2 x b x h). Also, remember to label your answer.
Answer:
So the answer is 12cm square
Step-by-step explanation:
Base is 6cm and hight is 4 so 6×4 is 24÷2 is 12
True/False
Determine whether the following statements define perpendicular lines?
Two lines that form four congruent angles at their intersection
Two lines that form a pair of right angles at their intersection
A pair of lines that form two pairs of complementary angles at their intersection
A pair of lines that meet to form a pair of supplementary angles at their intersection
Answer:
1st is True, I'm pretty sure
Step-by-step explanation:
What is the equation of the line that passes through the points (4,5) and (6,4)?
Answer:
y=(-1/2)x+7
Step-by-step explanation:
y=mx+b
find slope (m)-> (4-5)/(6-4)
find y-intercept (b)-> 4=(-1/2)6+b
m= -1/2
b= 7
WILL MARK BRAINLIEST pls help (ignore notes)
Answer:
Step-by-step explanation:
Shaped area perimeter=50(3)+50[tex]\pi[/tex]÷2+50(2)[tex]\pi[/tex]÷4
=150+50[tex]\pi[/tex]
=307.1 cm(correct to nearest tenth)
pls help me thank you!
choose the best answer
3x^2-6x=29
a) no real solutions
b) one distinct, real solutions
c) two distinct, real solutions
Answer:C
Step-by-step explanation:
Need to figure out x and y
Answer:
f(X)=7 X=1
X=2. f(X)=14
f(X)=21. X= 3
X=4. f(X)=28
X=5. f(X)=35
just substitute in the equation
Find the area of the rectangle.. Single choice.
436 cm squared
399 cm squared
380 cm squared
417 cm squared
Answer:
399 cm squared.....Do you want explanation ??
Answer:
socratic
Step-by-step explanation:
use socratic take a pic then it searchers for you
what's the distance between (1,7) and (-2,-4)
Answer:
Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).
Step-by-step explanation:
Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).
Answer:
The distance is Sqrt(130) or in decimal form, 11.01...
Step-by-step explanation:
The distance formula states that you need to do sqrt((a-x)^2+(b-y)^2)). In this scenario (x,y)(a,b)= (1,7)(-2,-4) So we just fill in that formula. (-2-1)=-3^2=9; (-4-7)=11^2=121; 121+9=130. The distance is therefore Sqrt(130) or in decimal form, 11.01...
Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?
Answer:
3/4 x = 2/3
If we multiply both sides by 4/3 we will have
x = 2/3 × 4/3 = 8/9 hour
EASY BRAINLY/ POINTS!! PLEASE HELP
Answer: The answer would be x = 19/3, 5/3
Step-by-step explanation:
Since we are finding the x intercepts, we must set the equation to equate 0. So:
0 = 3 |x-4| - 7
Then, we want to simplify the right side so it is just the absolute value, so lets start by adding 7 to both sides.
0 = 3 |x-4| - 7
+7 +7
7= 3 |x-4|
Now we divide both sides by 3.
7= 3 |x-4|
3 3
7/3 = |x-4|
Now, due to the properties of absolute value, we must solve this twice, since absolute value always leads to a positive value, we want to set up one equation where 7/3 is positive and one where it is negative.
7/3 = x-4 -7/3 = x-4
add 4 to both sides
7/3 = x-4 -7/3 = x-4
+4 +4 +4 +4
Then, you get your two x values
x= 6.333... or 19/3 AND x = 1.66666 or 5/3
PLS HELP I'LL MARK BRAINLIEST !!!!! ASAP PLS !!
(3x- 1) 71 solve for the equation and x please
Answer:
x=24
Step-by-step explanation:
The opposite angles are equal as per certain theorems.
3x-1=71
3x=72
x=24
What is the solution to the system of equations?
Answer:
(3, -2)
Step-by-step explanation:
both of the equations are equal to y, which means they are equal to each other.
So you write them as equation(1) = equation(2)
and solve for x.
Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)
Hope I was able to help:)
In a game, Annie needs three cards that have a sum of 4. Pick on three cards that Annie could choose.
A). 2
B). -8
C). 3.5
D). -1.5
E). 1
Answer:
A, C, and D
Step-by-step explanation:
2 + 3.5 - 1.5 = 4
110 cm
50 cm
140cm
y у
180 cm
Answer:
its a little hard sorry I dont know
NEED HELP WITH NUMBER 2 PLS I WILL MARK YOU BRAINLIEST
Answer:
The slope is 25 and the y-intercept is 100
Step-by-step explanation:
With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here
B is always the y-intercept, which is 100 here
If x is measured in yards and your boss wants a 2" thickness of mulch, how many cubic yards should he order?
Answer:
1000. Then 1000 divided by 324 = 3.08 cubic yards.
Step-by-step explanation:
Answer:
0.8585 cubic yards
Step-by-step explanation:
inches-->yeards 2/36 in
15.453*2/36 = 0.8585 (tried volume formula)
I figured if the derivative represented the area then x^2*x = x^3 so that would represent the volume of mulch needed.
Please Help me! ASAP
Can someone pls help me. WILL MARK U BRAINLIEST!!
Answer:
2. b
3. d.
4. c.
Step-by-step explanation:
The sum of two numbers is 369 the difference of those two numbers is 17 which answer choice shows both numbers
Answer:
(176, 193)
Step-by-step explanation:
Well you forgot to put in the choices, but:
The difference between the numbers is 17. Let's call the smaller number x and the bigger one y
(x + y) = 369
y = x + 17
(x + (x + 17)) = 369
2x + 17 = 369
2x = 352
x = 176
y = x + 17 = 193
WEILL GIVE BRAINLIEST!
Translate into a variable expression.
n less than 22
Answer:
n<22 or 22- n
Step-by-step explanation:
Ron and Howard work at Amazon. Ron works x hours per day each week (7days). Howard works one more hour each day, than Ron. Which expressions calculate the number of hours Howard works in a week
Answer:
Howard works 7x+7 hours in a week
Step-by-step explanation:
Equations
Ron and Howard work at Amazon.
Ron works x hours each week for 7 days. This means he works 7x hours a week.
Howard works one more hour per day than Ron, thus he works x+1 hours per day. This means he works 7(x+1)=7x+7 hours a week.
Howard works 7x+7 hours in a week
Please help me 2x+y=2
Answer:
y=-2x+2
Step-by-step explanation:
Inverse of -2x+2 {x-2}{2}