Upperloaf Bakery is baking loaves of cornbread and poppy-seed blueberry cake. The recipe for one loaf of corn bread calls for 2 1/4 cups of flour and 1 1/4 teaspoon of baking soda. One loaf of poppy-seed blueberry cake requires 1 3/4 cups of flour and 2 1/8 teaspoons of baking soda. The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.
Answer:
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
Step-by-step explanation:
Write a system of two inequalities to model loaves of bread and
cake that can be baked.
let
number of cornbread loaves = c
number of poppy-seed blueberry Cake loaves = p
corn bread
cups of flour = 2 1/4 = 2.25
teaspoon of baking soda = 1 1/4 = 1.25
One loaf of poppy-seed blueberry cake
cups of flour = 1 3/4 = 1.75
teaspoons of baking soda = 2 1/8 = 2.125
The bakery has 28 cups of flour and 30 teaspoons of baking soda in stock.
Quantity of flour to use
c(2.25) + p(1.75)
Quantity of baking soda to use
c(1.25) + p(2.125)
The inequality is
c(2.25) + p(1.75) ≤ 28
c(1.25) + p(2.125) ≤ 30
Alternatively,
2.25c + 1.75p ≤ 28
1.25c + 2.125p ≤ 30
Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?
Which difference is closest to 12?
A. 89−1112
B. 67−19
C. 1516−38
D. 35−611
Answer:
b
The rest are at least 500 numbers away from 12
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
How do I solve this?
Answer:
? ≈ 70°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{32}{34}[/tex] , thus
? = [tex]sin^{-1}[/tex] ( [tex]\frac{32}{34}[/tex] ) ≈ 70° ( to the nearest degree )
Need help please rn hurry
Answer:
-3
Step-by-step explanation:
plug in the x and y values than raise them to the second power and subtract! hope that helps!
ABC is a straight line. which equation can be used to find the measure of the unknown angel?
Answer:
A: 180 -45
Step-by-step explanation:
Since it is a straight angle, it will equal 180 degrees. Since 45 is already taken, u would subtract it from 180.
180-45=135
thus, your answer is 180-45
hope I helped!!!
It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?
Answer:
8 degrees
Step-by-step explanation:
The temperature was -7 and then rose by 15, -7 +15 = 8
K. This table shows a directly proportional
relationship between the distance Craig runs
and the number of track practices he attends.
Number of practices, * Distance (miles), y
4
12
5
15
18
What is the distance Craig runs if he attends 9 track
practices?
Answer:
Step-by-step explanation:
It will be 27 because it is going by 3 so it will be 9 • 3 since 9 is the number of practices and the answer is the Distance (miles)
Answer:
The answer is 27
expand and simplyfy 4(2x+3) +4(3x+2)
Answer:
x=1 I'm not sure if I'm correct
Step-by-step explanation:
4x2x=8x
4x3=12
4x3x=12x
4x2=8
8x+12=12x+8
8x-12x= 8-12
-4x=-4 divide -4x in both side so the answer should be x=1
Please help me with this question
Answer:
D, D
Step-by-step explanation:
3x - 2 = -2x + 3
5x = 5
x = 1
21/4 times the quantity 51/2 minus k
Need help writing a expression for this phrase
Answer:
21/4 x 51/2 - k use the app Photomate if wrong
Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?
Answer:
The answer is below
Step-by-step explanation:
Let the length of the rectangular area be L and W be the width of the rectangular garden hence:
Perimeter = 2(L + W)
There is 100 feet of fencing available which represents the perimeter, therefore:
100 = 2(L + W)
L + W = 100/2
L + W = 50
L = 50 - W
The area (A) = L × W
A = L × W
A = (50 - W) × W
A = 50W - W²
To get maximum area, we find the first derivative of the area and equate to zero
A' = 50 - 2W
50 - 2W = 0
2W = 50
W = 50/2
W = 25 feet
100 = 2(L + W)
50 = L + W
L = 50 - W = 50 - 25
L = 25 feet
To maximize area, the length and width should be 25 feet each
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we invest into each account if after the first year, the combined interest from the two accounts is $1238?
Answer:
$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account
Step-by-step explanation:
Let the amount invested in first account be $x while the amount for second account is $y
Mathematically;
x + y = 10,000 •••••••••(i)
Interest on first account
= 14% of x = 14/100 * x
Interest on second account
= 8% of y= 8/100 * y
Adding all together will give total
14/100 * x + 8/100 * y = 1238
Multiply through by 100
14x + 8y = 123800 •••••••(ii)
From equation 1, x = 10,000 - y
Insert this into second equation
14(10,000-y) + 8y = 123,800
140,000 - 14y + 8y = 123,800
140,000 - 6y = 123,800
6y = 140,000 - 123,800
6y = 16,200
y = 16,200/6
y = $2,700
Recall
x + y = 10,000
x = 10000 - y
x = 10,000 - 2,700
x = $7,300
Someone helppp please :)))
The distance between the Sun and each planet in our solar system varies because the planets travel in elliptical (oval) orbits around the Sun rather than completely circular ones.
Here is a table of the average distance and the variation in the distance for the five innermost planets in our solar system:
Average Distance and Variation
Planet Name Average Distance Variation
Mercury 36.0 million miles 7.39 million miles
Venus 67.2 million miles 0.43 million miles
Earth 93.0 million miles 1.55 million miles
Mars 142 million miles 13.2 million miles
Jupiter 484 million miles 23.2 million miles
"Average distance" means the mean distance that planet is from the sun over the course of its orbit, and "variation" means how far it varies from that mean. For example, if a planet had an average distance of 5 miles and a variation of one mile, it would have distances between 4 and 6 miles at different times.
a) Write and solve an inequality to represent the range of distances that can occur between the Sun and one of the planets from the table (your choice). Show your steps/process.
b) Why is this best represented as an inequality rather than an equation? Explain in at least 3 sentences.
Answer:
Hope this helps
Step-by-step explanation:
They describe how (1) planets move in elliptical orbits with the Sun as a focus, (2) a planet covers the same area of space in the same amount of time no matter where it is in its orbit, and (3) a planet's orbital period is proportional to the size of its orbit (its semi-major axis)
Answer:
because
Step-by-step explanation:
help with it dont know
152.230 to the nearest hundredth
Answer:
152.23 Because 0 is not 5 or above so the number stays the same
Step-by-step explanation:
Answer:
152.23
Step-by-step explanation:
just get rid of the zero
4y+2=-1/3 (8-12y)
hi I need help with this question??? I'm totally lost
Answer: The answer is no solution :)
4y+2=-1/3(8-12y)
Simplify it
4y+2=-0.333333333333*(8-12y)
Reorder terms in these parentheses
4y+2=+(-2.66666666667+4y)
Remove uneeded parentheses
+4y+2=-2.66666666667+4y
move all terms that has y to the left and all other terms to the right.
+4y-4y=-2.66666666667-2
simplify left the and right side of the equation,
y=-4.66666666667
0=-4.66666666667
The left and right sides are not equal, so there is no solution :)
Can someone help explain this To me? I need help
Answer:
x=18
Step-by-step explanation:
XZ/RT=XY/RS
60/40=(5x-3)/(3x+2)
1.5=(5x-3)/(3x+2)
1.5(3x+2)=5x-3
4.5x+3=5x-3
9=0.5x
18=x
The difference of twice a number and six is four times the number. Find an
equation to solve for the number.
A) 2x - 6 = 4
B) 2x-6 = 4x
C) 2x + 6 = 4x
D) 2x - 6=x+4
If the slope of the line is -4, find y when (2,y) and (3,8).
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)
A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans ?
Answer:
The salesperson needs to sell 10 stereos to make the same money on both plans
Step-by-step explanation:
We'll analyze both choices for the compensation plans of a salesperson.
One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:
P1=250+25x
Where x is the number of stereos sold.
The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:
P2=50x
To find the equilibrium point for both plans, we make P1=P2:
250+25x=50x
Simplifying:
25x=250
Solving:
x = 250 / 25 = 10
The salesperson needs to sell 10 stereos to make the same money on both plans
2(4j - 3) - 8 = 4 + 2j
Help Needed
the Answer is .......... ok
Answer: j=1
Step-by-step explanation:
Find the value of x.
Answer:
25
Step-by-step explanation:
3 quantity, $12.50 unit price what is the total cost
Answer:
$37.50
Step-by-step explanation:
$12.50 multiplied by 3
What is the difference of –89.16 – 154.81?
–243.97
–65.65
65.65
243.97
Answer:
-243.97
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
How many times do you have to regroup in 778-168
Answer:
You wouldn't have to regroup at all
Step-by-step explanation:
8-8 is 0 no regrouping there. 7-6 is 1 no regrouping there. 7-1 is 6 no regrouping there. Answer is 610 as well
David's car could cover one lap of the Indy 500 in about 90 seconds. Chris' car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting point?
Answer:
h
Step-by-step explanation:
answer asap for brainliest
5 x 5 x 5, 5^3 and 125
Step-by-step explanation:
Answer:
5 5 5, 5 3
Step-by-step explanation:
What is the value of the expression below when y = 6?
бу — 1
Answer:
35
Given:
y=6
Step-by-step explanation:
бу — 1
6(6)-1
36-1
35
hope it helps you!
Tell whether the table shows a linear or nonlinear function. If it is a linear, is it increasing or decreasing?
