Jason is baking a cake. The recipe calls for 2 cups of sugar for every 5 cups of flour. If he is making a small cake and is only using 1 cup sugar, how many cups of flour should he use? *
Answer:
2 1/2 cups
Step-by-step explanation:
First, our ratio is sugar:flour or 2:5, so our question is 1:? We find ? by finding how we got to 1 on the other side.
2 ÷ 2 = 1
And what we do to one side, we always have to do to the other to make it proportional, so
5 ÷ 2 = 2.5 or 2 1/2
So, if Jason is using 1 cup of sugar, he should use 2 1/2 cups of flour
hope this helps
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200
Answer:
Option A
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Step-by-step explanation:
Let the
Number of Adults = x
Number of campers = y
A summer camp cookout is planned for the campers and their families.
There is room for 200 people.
x + y ≤ 200
Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.
Maximum means the total cost is equal to or less than $750
$4 × x + $3 × y ≤ $750
4x + 3y ≤ 750
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Option A is correct
Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?
Answer:
187.96 cm
Step-by-step explanation:
Given hat
Tyson is 6 feet and 2 inches tall
Also
There is 2.54 cm in 1 inch
Now the tyson height in the centimeter is
= 6.16666 × 30.48
= 187.96
Hence, the Tyson height in the centimeter is 187.96
Answer:
187.96
Step-by-step explanation:
(answer d)
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
PLZ HELP!!!
write an equation to match this graph.
Answer:
y = 1/5x - 5
Step-by-step explanation:
slope intercept form: y=mx+b
m is the slope
to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5
b is your y-intercept, aka where the line comes in contact with the y-axis
by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5
therefore your answer is: y = 1/5x - 5
hope this helped!
Please help heres some points!
Answer:
tooth A
Step-by-step explanation:
0.23 = 0.230
0.230 > 0.195
Answer:
a
Step-by-step explanation:
Help due today will give brainlist
Answer:
4 fancy and 5 plain
Step-by-step explanation:
What is the equation of the following line written in general form?
y
(4.5)
(1,2)
.
Oy -x +1 = 0
Ox-y+1=0
O-X-y+1=0
Answer:
x-y+1 = 0
Step-by-step explanation:
Replace x & y of each coordinates into the function then you'll get the answer.
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
Answer:
19050 or some other number very close like 19039
Step-by-step explanation:
I took test and got this one right.
Answer:
the guys above :)
Step-by-step explanation:
give him brainliest if you have not :)
Pleaseee help I want to sleep xD (There's a screenshot)
The temperature in a town is 34.1°F during the day and -8.6°F at night. Find the difference in the temperatures.
Answer:
the difference is 25.5
Step-by-step explanation:
34.1 - 8.6 = 25.5
[tex]42.7^{\circ}F[/tex]
Subtract the number with the smallest value from the number with the biggest value to determine the difference between two numbers.
Temperature in a town during the day [tex]=34.1^{\circ}F[/tex]
Temperature in a town during the night [tex]=-8.6^{\circ}F[/tex]
Therefore,
Difference in temperatures [tex]=34.1-(-8.6)[/tex]
[tex]=42.7^{\circ}F[/tex]
For more information:
https://brainly.com/question/20671719?referrer=searchResults
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
Answer:
66 pounds of tomatoes
Step-by-step explanation:
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
From the above question:
5 people = 3 pounds of tomatoes
110 people = x pounds of tomatoes
Cross Multiply
5 people × x pounds = 110 people × 3 pounds
x pounds = 110 people × 3 pounds/5 people
x pounds = 66 pounds of tomatoes
A jar contains 21 marbles: 8 white, 3 green, and 10 red. Write the described ratio in simplest form.
A. number of white marbles to number of green marbles.
Answer:
The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.
The answer would be 8:3.
Step-by-step explanation:
There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.
The answer is 8:3.
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
What is the equation of the line that passes through the point (6, -6) and has a slope of -5/3
Answer:
y= -5/3x + 4
Step-by-step explanation:
hope this helps :)
sum of 2x and 3x in algebraic expression
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
James wants to buy a new cell phone package there are three packages available for each offering a different deal which package offers the best deal
Answer:package 3
Step-by-step explanation:
Hope I am right it is there cheapest
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answer:
90
Step-by-step explanation:
Answer asapppp pllssss
Answer:
|1|, |-2|, |7|, |12|.
Step-by-step explanation:
I'm assuming this is absolute value.
Find a point on Y-axis which is equidistant from the points (2,-2) and (-4,2)
answers fast pleasee ......help me out guys
Answer:
( -1, 0)
Step-by-step explanation:
(2 + -4)/2 = -1
(2 + -2)/2 = 0
PLZZZHELP
ill mark brainliest
Answer:
[tex]y=\frac{x+2}{4}[/tex] or y = 0.25x + 0.5
Step-by-step explanation:
You need to try change the subject from x to y.
x = 4y - 2
We first move -2 to the left, making the equation
x + 2 = 4y i.e.
4y = x + 2
We then divide both sides by 4.
[tex]y=\frac{x+2}{4}[/tex] or y = 0.25x + 0.5
We now have successfully made y the subject, and effectively solving the equation.
1.Name of the ? segment
2.Length of the ? segment
Answer:
3 and AC
Step-by-step explanation:
PLEASE HELP ASAP I DONT GET SOMEONE PLEASE EXPLAIN TOO!!!
Answer:
see explanation
Step-by-step explanation:
A line sloping upwards from left to right has a positive slope.
Line 1 is in this category.
A line sloping downwards from left to right has a negative slope.
Line 4 is in this category.
The slope of a vertical line, parallel to the y- axis is undefined.
Line 2 is in this category.
The slope of a horizontal line, parallel to the x- axis is zero.
Line 3 is in this category.
Which equation has the slope of -2/7 and contains the point (5,-6)?
Answer:
i would go for B
Step-by-step explanation:
Please help this is due tomorrow!!
After 8 weeks on a fitness program, Mrs. Honaker can job 30 miles. Her average mileage gain has been 2 miles per week.
a) write an equation to model this scenario in slope-intercept form.
b) Determine how many miles Mrs. Honaker can run after 11 weeks.
Answer:
donut
Step-by-step explanation:
which number line model of the sum of 8 + -12 correctly
Answer:
U did not add a picture but if u do I will help.
Step-by-step explanation:
It should be 8 to the right and 12 to the left which should end at -4
Answer:
The answer is 4?? tell me if it's wrong or not.
amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?
Answer:
88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is
you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2
either way his normal weight is 79.2kg
can u help me find the answer quickly
Answer:the second one
Step-by-step explanation: hope this helps
18x -1 (-3x + 9) distributing a negative number (plz I need help I need to get this done ASAP)
Answer:
18−1(−3x+9) 18+3−9
Step-by-step explanation:
Answer:
-54x+156
I dunno if it's correct