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
The ratio of men to women working for a company is 3 to 2 . If there are 58 women working for the company, what is the total number of employees?
Answer:
145
Step-by-step explanation:
I need help and make sure to explain.
This is not rounding.
453.89
Would it be thousandths or hundredths? Explain why.
What is the value of 11,340 divided by 27
Answer:
420
Step-by-step explanation:
11340 / 27 = 420.
Plug it into your calculator.
The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
[tex]67 = -24x + 379\\[/tex]
Subtract 379 from both sides.
that gives us: [tex]-312 = -24x[/tex]
divide both sides by -24 which equals: x = 13.
13 weeks
Answer:
13 weeks
Step-by-step explanation:
e d g e n u i t y 2020
Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in stand collection?
A- Stan owns 9 cards or less
B- Stan owns 9 cards or more
C- Stan owns less than 9 cards
D- Stan owns more than 9 cards
Answer:
i think the answer is c
Step-by-step explanation:
22x3=66 66-58=8
In stand collection, Stan owns less than 9 cards.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Let x represnets the number of Kyle's cards and y be the number of Stan's cards.
We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:
k = 3s + 22 equation (1)
We also knows that together, they own less than 58 cards, so:
k + s < 58 equation (2)
Replace (1) in (2) and solve for :
s + 3s + 22 <58
s <58
Hence, Stan owns less than 9 cards.
Learn more about inequalities here:
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Steve earns $10.50 an hour working in a store. Last weekend
he earned a total of $73.50. Which equation can be used to
find n, the number of hours Steve worked last weekend?
Answer:
Steve worked 7 hours last weekend
Step-by-step explanation:
$73.50 (how much he earned during the weekend) ÷ $10.50 (how much he gets payed per hour) = 7 (how many hours he worked)
n=$10.50 x n
Nik scored 48 points in six games. How much did he score per game?
I
Answer:
8
Step-by-step explanation:
48/6 =8
4 ( -x + 4 ) = 12
what is the value of x
Answer:
X=1
Step-by-step explanation:
Answer:
X = 1
Step-by-step explanation:
Chose 1 Answer:
A (1/3,2 5/6)
B (2/3,3 2/3)
C (-1/3,1 1/6)
D (-2/3,1/3)
Answer:
c
Step-by-step explanation:
bc ik
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Is the answer y=2x+3 ??
Answer:
y = -1/2x + 9
Step-by-step explanation:
y - 7 = -1/2(x - 4)
y - 7 = -1/2x + 2
y = -1/2x + 2 + 7
y = -1/2x + 9
Find the value of x. PLEASE HELP - test tomorrow
The answer is 74.
I need to show my work.
THANK YOU!!!!!
Answer:
x = 74
Step-by-step explanation:
If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).
Form an equation in x with this information:
4x+1+x-35+24 = 360
5x -10 = 360
5x = 370
x = 74
:((((((((((((((((((
Answer:
132°
Step-by-step explanation:
Find the supplementary angle of 48°
To do this, subtract 48° from 180°
180 - 48 = 132°
Step-by-step explanation:
ABD = 180
[tex]180 - 48 = 132[/tex]
If the m∠1 =57°, Find the measure of ∠6
A- 123 °
B- 57 °
C- 180 °
D- Cannot be determined
Answer:
123
Step-by-step explanation:
[tex]180 - 57 = 123[/tex]
The solution is, the value of m∠6 is 123, i.e. A- 123 °.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the given figure we get,
angle 1 is equal to angle 5
as they are corresponding angles,
so, m∠1 =57° = m∠5
now, we have,
that the sum of 5 & 6 is 180
so, they are supplementary angles.
i.e. m∠6 = 180 - m∠5
=180 - 57
=123
Hence, The solution is, the value of m∠6 is 123, i.e. A- 123 °.
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Nilda has $25 in her savings account. She plans to save 6.50 per week from her salary. Iona has $50 in her account but can save $13 per week from her paycheck. Nilda gets paid twice a month, but Iona only gets paid once a month. How many weeks will it take before the amount in each savings account is the same?
Answer:
3
Step-by-step explanation:
$25×6.50=152.5
50÷13=0.26
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
x=y
Step-by-step explanation:
The answer is x=y if the slope is 1,1 | 2,2 | 3,3 | etc
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answer:
$ 2,273.25
Step-by-step explanation:
given the equation f(x)= -10x-4 and g(x)=6-2x, find f(x) - g(x)
Answer:
Step-by-step explanation:
[tex]f(x) = - 10x - 4[/tex]
[tex]g(x) = 6 - 2x[/tex]
_________________________________
[tex]f(x) - g(x) = [/tex]
[tex]( - 10x - 4) - (6 - 2x) = [/tex]
[tex] - 10x - 4 - 6 + 2x = [/tex]
[tex] - 8x - 10[/tex]
Thus ;
[tex]f(x) - g(x) = - 8x - 10[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
i need help ASAP pls make sure to show your work.
Answer:
Step-by-step explanation:
2) 6.230 (3.115
6
0 2
- 2
0 3
- 2
1 0
-1 0
0
125) 6000 (4.8 ( on multiplying numerator and denominator by 100)
-500
1000
-1000
0
Which of the statements below is true for the following set of numbers?
20, 5, 50, 95, 75, 60
O The range and the midrange are equal.
O The range is 90 and the midrange is 45.
O The range is 95 and the midrange is 55.
O The range is 90 and the midrange is
Answer:
D
Step-by-step explanation:
Round 11,900 to the nearest thousand.
Answer:
12,000
Step-by-step explanation:
the answer is 12,000 bc if its over 11,500 you round up and if its 11,400 then you round it to 11,000.
simplify 6(–2y) – 9 + 4(–2y + 6)
Answer:
-20y+15
Step-by-step explanation:
what is the value of 2x + 2(xy-z) where x=3, y=4 and z=-1
Answer:
32
Step-by-step explanation:
2(3)+2((3×4)-(-1))
=6+2(12+1)
=6+26
=32
The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain
Answer:
Yes, the car was speeding the speed limit.
Step-by-step explanation:
The given equation to find the car's speed, s (in mph), is
[tex]s=\sqrt{30fd}[/tex]
where, d is the length of the skid and f is the friction factor.
Police measured a skid mark of 90 feet, so d=90
As the road is dry and of concrete, therefore the friction factor, f=0.8.
So, the speed of the car
[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph
The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.
Hence, the car was speeding the speed limit.
hey ITSBLESIVGURL ill text you after school also what is 22+77?
Answer:
99
Step-by-step explanation:
cause im smart teehee
I need help on this problem I have 6 minutes left to solve this!.”
The slope between (250,120) and (300,90)
m = − 3/ 5 your welcome
Answer:I think it's -3/5
Step-by-step explanation:mhm
I really need help asappp
Answer:
d
Step-by-step explanation:
Answer:I say D the other wont work so D
Step-by-step explanation:
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
One tank is filling at a rate of 5/8 gallon per 7/10 hour. What is the unit rate per hour?
Answer:
7.14
Step-by-step explanation:
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
