Answer:
Hypothesis
if you drop a ball,it will fall toward the ground
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
Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old
Answer:
your cat will be 12 your friend will be either 16 or 24
Step-by-step explanation:
Friend is 12 years old and cat is 4 years old.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given,
Cat is 8 years younger than your friend
Let age of friend be x
then, age of cat be x - 8
But In 4 years, your friend will be twice as old as your cat
x + 4 = 2(x - 8 + 4)
x + 4 = 2x - 16 + 8
x + 4 = 2x - 8
-2x + x = - 12
x = 12
Age of friend = 12 years
Age of cat = 12 - 8 = 4 years
Hence, 12 years is age of friend and 8 years is age of cat.
Learn more about equation here:
https://brainly.com/question/1529522
#SPJ5
(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
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:
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
What percent of 700 is 364
Answer:
52%
Step-by-step explanation:
Translate: Four less than twice a number is
twelve
110 cm
50 cm
140cm
y у
180 cm
Answer:
its a little hard sorry I dont know
the question is in image!!!!!! plz answer you’ll get 95 points!!
Answer:
Option A is correctStep-by-step explanation:
Given functions f(x) and g(x). f(x) is:
f(x) = x^2 + 4x + 6Converted into vertex form, it is:
f(x) = (x + 2)^2 + 2g(x) has vertex at (-2, -14), it's vertex form is:
g(x) = (x + 2)^2 - 14Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).
Both have positive leading factors, therefore the vertex is their minimum point.
Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.
Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.
Correct choice is A
Answer:a
Step-by-step explanation:
Did it
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 Help me! ASAP
What is the solution to the equation 4x + 2(x – 3) = 3x + x - 12? (1 point)
1)-3
0 2 -1
3) 1
4) 3
Answer:
the answer to this problem is -3
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
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
Restaurant has an early bird special of $7 per plate before 4 PM. The regular price after 4 PM is $9 per plate. If the restaurant sold 93 plates and made $733, how many of those plates were early bird specials
Answer:
the early bird special plate is 52
Step-by-step explanation:
Let us assume the early bird special be x
And, regualr price be y
Now the equations are
x + y = 93
7x + 9y = 733
Now multiply by 7 in equation (1)
7x + 7y = 651
7x + 9y = 733
Now subtract these two equations
-2y = 82
y = 41
x = 93 - 41
= 52
hence, the early bird special plate is 52
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
Jessica loves to walk. She walks 3 miles each day. If she wants to walk a total of 57 miles how many days should she walk? Write an equation to show this problem along with the answer. *PLEASE SHOW WORK
Answer:
the answer is 57÷3 =19 days
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
During the American Revolution, women... i need help now please i will give 11 points
1.ran family businesses.
2.cared for the troops.
3.helped raise money for the war.
4.all of the above
Answer:
its 4 or d
Step-by-step explanation:
hope this helps!
please mark me brainliest! thanks!
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:)
Chris had 30 dollars to spend on 3 gifts. He spent 9 7 10 dollars on gift A and 3 2 5 dollars on gift B. How much money did he have left for gift C?
Answer:
4 dolars left
Step-by-step explanation:
im smart
4x^2-4x+1 factoring special cases
Answer:
(2x−1)(2x−1)
Step-by-step explanation:
Factor 4x2−4x+1
4x2−4x+1
=(2x−1)(2x−1)
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.
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
What 2 numbers multiply to make -48 and combine to make 2?
____ and ___
4 and -12 are equal to -48
Please help me 2x+y=2
Answer:
y=-2x+2
Step-by-step explanation:
Inverse of -2x+2 {x-2}{2}
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
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
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)