Answer:
He can cook 52 or less than 52 batches of lasagna.
Step-by-step explanation:
0.9L+0.3S≤60
Putting the value of s = 44
0.9L+0.3 (44) ≤ 60
0.9L+ 13.2 ≤ 60
0.9L ≤ 60 -13.2
L ≤ 46.8/0.9
L ≤ 52
Answer:
Eldar can cook 555 batches of lasagna at most.
Step-by-step explanation:
) An electrician needs 3/4 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 4 1/2 rolls of wire?
With 4.5 rolls of wire, the electrician can wire up to 6 rooms, assuming a constant wire requirement per room and no additional factors like wastage or special installations.
If an electrician requires 3/4 of a roll of electrical wire to wire one room, then to wire multiple rooms, you can multiply this amount by the number of rooms. In this case, we're dealing with 4 and 1/2 rolls of wire, which is equivalent to 4.5 rolls.
To find out how many rooms can be wired, divide the total amount of wire available by the amount needed for one room:
4.5 rolls ÷ 3/4 roll per room = 4.5 ÷ 3/4 = 6.
So, with 4 and 1/2 rolls of wire, the electrician can wire up to 6 rooms in the house. Keep in mind that this calculation assumes a constant amount of wire is needed for each room and that there are no extra factors like wastage or additional requirements for special installations.
To learn more about wire
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Find the value of the greater root of x2 - 6x + 5 = 0.
A) -5
B) -1
C) 1
D) 5
Answer:
D
Step-by-step explanation:
We need to find 2 roots of the quadratic function given and find the greater of the two roots.
We factorize the quadratic and find the two solutions first:
[tex]x^2-6x+5=0\\(x-5)(x-1)=0\\x=1,5[/tex]
So,
x = 1
and
x= 5
Out of the two, x = 5 is the greater root.
D is the correct answer.
Audrey has 400 songs on her MP3 player. Of these songs, 150 are by female vocalists, 75 are by male vocalists, and 175 are by groups. If one song is played at random, what is the probability it is sung by a female vocalist?
Probability for male = 75/400 = 3/16
Probability for groups = 175/400 = 7/16
Probability for female = 150/400 = 3/8
There is a 3/8 probability of the song being sung by a female vocalist.
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Answer:
B
Step-by-step explanation:
The 2 part of the ratio represents 39 instructors.
Dividing 39 by 2 gives the value of one part of the ratio, that is
39 ÷ 2 = 19.5 ← value of 1 part of the ratio, thus
number of employees = 12 × 19.5 = 234 → B
If the sum of a number and five is doubled, the results is one less than the number.find the number
The number that satisfies the condition that, when added to five and then doubled, is one less than the number itself is -11. We found this number by setting up an equation and solving for the variable.
Explanation:Let's define x to be the number we're trying to find. According to the question, if the sum of this number and five is doubled, the result is one less than the number.
The equation based on the given information is 2(x + 5) = x - 1. To solve for x, let's distribute the 2 to both terms in the parentheses: 2x + 10 = x - 1.
Next, we need to get all the x terms on one side and the constant terms on the other side. We can do this by subtracting x from both sides, giving us: x + 10 = -1. Then, subtract 10 from both sides to isolate x: x = -11. So, the number we're looking for is -11.
(8,4); m=7 what’s the answer in point-slope form
The equation of line in point slope form is y - 4 = 7x - 56
Solution:
Given that m = 7 and point is (8, 4)
We have to find the equation of line in point slope form
It emphasizes the slope of the line and a point on the line
The point slope form is given as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where "m" is the slope of line
Substitute m = 7 and (x, y) = (8, 4) in above point slope form
[tex]y - 4 = 7(x - 8)[/tex]
[tex]y - 4 = 7x - 56[/tex]
Thus equation of line in point slope form is found
We can write the equation in standard form
The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.
[tex]y - 4 = 7x - 56\\\\7x - y -52 = 0[/tex]
The perimeter of a right triangle is 24 meters, and the area is 24 square
meters. The lengths of the sides are each multiplied by 4. What is the area
of the new triangle?
OA) 136 m
OB) 184 m
OC) 226 m
OD) 384 m
Answer:
D. 384
Step-by-step explanation:
Sorry for the very late response. But if anyone wasn't sure if 384 is correct, it is. I can confirm this because I just took the test. I hope I could help! (:
Please help with this click on the picture to see the whole thing
A negative exponent means to move the decimal point to the left.
5 x 10^-2 = 0.05
Answer:
5 x 10^-2 = 0.05
Explanation:
A negative exponent means to move the decimal point to the left.
Hope this helped!
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I costs $36 for 4 movie tickets, What is
Ovie tickets, What is the unit price of each ticket
I
Answer: $9 per ticket
Step-by-step explanation: Unit price means the cost per unit. In this case, the cost per ticket.
Since we know that it costs $36 for 4 movie tickets, to find the cost for 1 movie ticket, we need to divide 4 into $36 or 4 into 36.
4 divides into 36 9 times. 9 x 4 is 36 and 36 - 36 is 0. So 4 divides into 36 9 times which means that each movie ticket costs $9.
So the unit price is $9 per ticket.
Ryan and his children went into a bakery and will buy cupcakes and donuts.
Each cupcake costs $4.50 and each donut costs $1.75. Ryan has a total of $40
to spend on cupcakes and donuts. Write an inequality that would represent
the possible values for the number of cupcakes purchased, c, and the number
of donuts purchased, d.
The inequality which represents the possible values for the number of cupcakes and donuts is : 4.50c + 1.75d = 450
Let :
cupcakes = cdonut = d Total amount spent = 450Expressing the scenario as an inequality :
4.50c + 1.75d = 450
Therefore, the inequality which represents the possible values for the number of cupcakes and donuts is : 4.50c + 1.75d = 450
$7 is what percent of 10$
Answer:
7/10
Step-by-step explanation:
you got 7 out of 10 dollars
Answer:
70%
Step-by-step explanation:
Because the fraction would be 7/10 when you make it to precent form it would be 70/100 which is 70%
n a simple random sample of 219 students at a college, 73 reported that they have at least $1000 of credit card debt.
Which interval is the 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt?
(31.0 ,35.6)
( 30.1 , 36.5)
(25.0 ,41.6)
(27.5 ,39.1 )
Answer:
[tex]0.333 - 2.58 \sqrt{\frac{0.333(1-0.333)}{219}}=0.251[/tex]
[tex]0.333 + 2.58 \sqrt{\frac{0.333(1-0.333)}{219}}=0.416[/tex]
The 99% confidence interval would be given (0.251;0.416).
(25.0 ,41.6)
Step-by-step explanation:
1) Data given and notation
n=219 represent the random sample taken
X=73 represent the students that reported that they have at least $1000 of credit card debt.
[tex]\hat p=\frac{73}{219}=0.333[/tex] estimated proportion of students that reported that they have at least $1000 of credit card debt.
[tex]\alpha=0.01[/tex] represent the significance level
z would represent the statistic (variable of interest)
p= population proportion of students that reported that they have at least $1000 of credit card debt.
2) Confidence interval
The confidence interval would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
For the 99% confidence interval the value of [tex]\alpha=1-0.99=0.01[/tex] and [tex]\alpha/2=0.005[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.
[tex]z_{\alpha/2}=2.58[/tex]
And replacing into the confidence interval formula we got:
[tex]0.333 - 2.58 \sqrt{\frac{0.333(1-0.333)}{219}}=0.251[/tex]
[tex]0.333 + 2.58 \sqrt{\frac{0.333(1-0.333)}{219}}=0.416[/tex]
And the 99% confidence interval would be given (0.251;0.416).
We are confident that about 25.1% to 41.6% of students have at least $1000 of credit card debt.
And for this case the most accurate option is:
(25.0 ,41.6)
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what are the apparent zeroes of the function graphed above?
A. {-1, 2.5}
B. {-17, 5}
C. {-4, 0, 2}
D. {-2, 0 , 4}
Answer:
So the correct option is D
{-2 , 0 , 4}
Step-by-step explanation:
Given:
A Graph
To Find:
Zeroes of the function graph = ?
Solution:
Zeroes of Graph:
Wherever the function graphs line cuts the x-axis are called ZEROES of the function graphs.
Here there are three different points were the function graphs cuts on x-axis. Therefore three zeroes,which are -2 , 0 , 4
i.e x = - 2 , x = 0 (origin),and x = 4
So the correct option is D
{-2 , 0 , 4}
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X= ____________
Answer:
x = 26
Step-by-step explanation:
The parallel lines are Line l and Line m. The other line shown is the transversal.
When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.
The angle "5x + 7" is equal to the angle "8x - 71" since they are alternate exterior angles.
So, we can equate both expressions and use algebra to solve for "x". The process is shown below:
[tex]5x+7=8x-71\\8x-5x=71+7\\3x=78\\x=\frac{78}{3}\\x=26[/tex]
Hence,
the value of x is 26
Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.
Answer:
The value of ∅ for the given trigonometrical equation is 60° .
Step-by-step explanation:
Given as :
The Trigonometrical equation
2 cos∅ + 2 = 3
Now, Solving this equation to get the value of ∅
∴ The equation can be written as
2 cos∅ = 3 - 2
or , 2 cos∅ = 1
or , cos∅ = [tex]\dfrac{1}{2}[/tex]
∴ ∅ = [tex]cos^{-1}(\frac{1}{2})[/tex]
I.e ∅ = 60°
So,The value of ∅ for the given trigonometrical equation = ∅ = 60°
Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer
The pyramid shown has a square base that is 24
24
centimeters on each side. The slant height is 16
16
centimeters. What is the lateral surface area?
Answer:
[tex]768\ cm^{2}[/tex]
Step-by-step explanation:
Here is the correct question: The pyramid shown has a square base that is 24 centimeters on each side. The slant height is 16 centimeters. What is the lateral surface area?
Given: Side of sqaure base = 24 cm
Slant height= 16 cm
Now, we have to compute to know lateral surface area of Pyramid with square base.
Formula, lateral surface area of pyramid= [tex]4(\frac{1}{2} \times b\times h)[/tex]
we know, side of sqaure base (b) is 24 cm and slant height (h) is 16 cm.
lateral surface area of pyramid= [tex]4\times (\frac{1}{2} \times 24\times 16)[/tex]
⇒lateral surface area of pyramid= [tex]4\times (192)[/tex]
Opening parenthesis.
∴lateral surface area of pyramid= [tex]768\ cm^{2}[/tex]
a point is reflected in the x-axis the new point is (5, -3.5) what is the distance between the two points? Urgent pls help
Distance between two points is 7
Explanation:
This is a question based on reflection of point w.r.t line. During reflection we can see the mirror image with t-shirt print inverted.But the distance from mirror remains same.
Assume a point (x,y), and it reflect in x-axis, then x-axis serves as the mirror, and the new point is (x,-y), because the distance from the mirror remains same. If the reflection of the point is (x,y) in y-axis, then y-axis serves as the mirror, and the new point is (-x,y). And if you reflect (x,y) in y=x line, then new point will be (y,x).
So considering the above question, if new point is (5, -3.5), then the original point must be (5, 3.5)
Distance between two points [tex]P(X_1, Y_1)[/tex] and [tex]Q(X_2, Y_2)[/tex]is given by:
d(P, Q) = [tex]\sqrt{ (X_2-X_1)^{2} + (Y_2-Y_1)^{2}}[/tex]
[tex]Y_2-Y_2 = (3.5) - (-3.5) = 3.5+3.5 = 7\\ \\X_2-X_1 = 5 - 5 = 0[/tex]
[tex]So \sqrt {(Y_2-Y_1)^{2} + (X_2-X_1)^{2}} = \sqrt { 7^{2} + 0^{2}} = \sqrt { 14+0} = \sqrt {14} = 7[/tex]
So distance = 7
Penny reads 12 pages in one-third of an hour. What is the unit rate for pages per hour? For hours per page?
Answer:
The unit rate of pages per hour is 36 pages per hour .
Step-by-step explanation:
Given as :
Penny reads 12 pages in one-third of an hour.
∵ 1 hour = 60 minutes
So , one-third of an hour = [tex]\dfrac{1}{3}[/tex] × 60 min
Or, one-third of an hour = 20 min
Now, According to question
∵ In 20 min , the number of pages read by Penny = 12
So, In 1 min , the number of pages read by Penny = [tex]\dfrac{12}{20}[/tex]
∴ In 60 min , the number of pages read by Penny = [tex]\dfrac{12}{20}[/tex] × 60 min
i.e In 1 hour ,the number of pages read by Penny = 12 × 3 = 36 pages
Hence,The unit rate of pages per hour is 36 pages per hour . Answer
What is the space covering the inside of a plane?
Answer:always
Step-by-step explanation:
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The segment to draw is segment UT
Step-by-step explanation:
A line segment is a part of a line that is bounded by two two distinct end points. In this case, segment UT is bounded by endpoints U and T. In the diagram, point R is not a segment but a point of intersection of segments BT and EU.
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Keywords : proof, statement, reason, segments, reflexive property
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Can someone help me please
Answer:
both are answered below
Step-by-step explanation:
let us assume that , he buys y number of roses and x carnations.the total cost cant be more than $30.the cost of each rose : $3the cost of each carnation : $2so, the cost of all roses that he buys : 3xthe cost of all carnations that he buys : 2ythe required inequality will be : 3x+2y[tex]\leq[/tex]30the graph is in the attachment.by seeing graph, possible x,y values: (2,12) , (6,6) , (8,3)[where x represents no. of carnations that he buys , y represents no. of roses that he buys ]
Consider a simple economy where the basket of goods used to calculate the CPI contains two items: shirts and pants. The basket consists of 3 shirts and 2 pairs of pants. Each item increases in price by $1 in year 2. The pants price is 20$ and the shirt price is 25$. What is the CPI for year 2.
To calculate the CPI for year 2 in a simple economy involving shirts and pants, we first find the total cost of the basket in both years considering the price increase. Then, using the formula for CPI, we find that the CPI for year 2 is 122.45, indicating an increase in the average price level compared to the base year.
Explanation:To calculate the Consumer Price Index (CPI) for year 2 in a simple economy with only shirts and pants in the basket of goods, we first need to understand the concept of CPI. The CPI represents the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services. Here, we're given that the price of each item increases by $1 in year 2, with the new prices being $21 for pants and $26 for shirts.
First, calculate the total cost of the basket in year 2:
Cost of 3 shirts in year 2 = 3 shirts * $26 per shirt = $78
Cost of 2 pairs of pants in year 2 = 2 pants * $21 per pants = $42
Total cost of the basket in year 2 = $78 + $42 = $120
To determine the CPI for year 2, we also need to know the base year's total cost, which isn't directly provided here.
However, assuming the base year (year 1) prices were $1 less for each item, the prices would have been $20 for shirts and $19 for pants.
Cost of the basket in year 1:
Cost of 3 shirts = 3 shirts * $20 per shirt = $60
Cost of 2 pairs of pants = 2 pants * $19 per pants = $38
Total cost of the basket in year 1 = $60 + $38 = $98
Finally, to calculate the CPI for year 2, we use the formula:
CPI for year 2 = (Total cost of the basket in year 2 / Total cost of the basket in year 1) * 100
= ($120 / $98) * 100 = 122.45
Therefore, the CPI for year 2 is 122.45, indicating prices have increased on average when comparing year 2 to the base year (year 1). This helps in understanding the inflation rate and cost of living increases for consumers.
5.) Juan answered 24/25 correctly on his quiz.
What percent of the questions did he get correct?
Answer:
96%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Percentage = (24/25) * 100 = 24* 4 = 96%
g(x) = 2x + 9
g( )= 15
If g(x)=15, x=...
g(x)=15
2x+9=15
x=3
answer: 3
Answer:
the answer is 3
Step-by-step explanation:
Find the slope of the line that passes through (9,9) and(2,1)
Answer:
8/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-9)/(2-9)
m=-8/-7
m=8/7
Answer:
m= 8/7
Step-by-step explanation:
the formula to find slope is
m= y2-y1/x2-x1
Mrs. Jacobs is making several batches of cookies and is using 84 total ounces of chips. The cookies have chocolate chips and peanut butter chips. There are 5 times as many ounces of chocolate chips as peanut butter chips. How many ounces of chocolate chips does Mrs. Jacobs use?
The ounces of chocolate chips used by Mrs Jacob is 70 ounce
Solution:
Given that Jacob is making several batches of cookies and is using 84 total ounces of chips
Let "c" be the ounces of chocolate chips
Let "p" be the ounces of peanut butter chips
To find: ounces of chocolate chips used by Mrs Jacob
Given that There are 5 times as many ounces of chocolate chips as peanut butter chips
Thus we can frame a equation as:
ounces of chocolate chips = 5 x ounces of peanut butter chips
c = 5p -------- eqn 1
Jacob used 84 total ounces of chip. Therefore,
ounces of chocolate chips + ounces of peanut butter chips = 84
c + p = 84 ---- eqn 2
Substitute eqn 1 in eqn 2
5p + p = 84
6p = 84
p = 14Substitute p = 14 in eqn 1
c = 5(14) = 70
c = 70Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce
Solve:
2(−n−3)−7(5+2n)
Answer:
-16n-41
Step-by-step explanation:
2(-n-3)-7(5+2n)
First begin by expanding the bracket. That is, multiplyingthe brackets by 2 and -7 appropriately.
In doing so we have,
2(-n) x 2(-3) -7(5) x -7 (+2n)
simplifying becomes:
-2n-6-35-14n
collwct like terms becomes -2n-14n-6-35
Final answer becomes Thus: -16n-41
What is the answer to 2(x+3)
Using the distributive property...
2(x+3) = 2x+6
answer: 2x+6
O
These are the means and standard deviations for samples of heights from
two kinds of trees.
Tree A
Mean: 25 ft
Standard deviation: 5 ft
Tree B
Mean: 60 ft
Standard deviation: 12 ft
rol
O
.
Select the two true statements.
Oh
CTS
(
DC)
I
A. Tree A's heights are less spread out than tree B's heights.
O
B. Tree A has a lower average height than tree B.
O
C. Tree A's heights are more spread out than tree B's heights.
D Tree A has a greater average height than tree B
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The true statements are:
A. Tree A's heights are less spread out than tree B's heights and
B. Tree A has lower average height than tree B
Explanation:
Standard deviation in this case represents the spreading out of heights of the trees, Since tree A has lesser standard deviation given equal to 5 , it is less spread out than B given equal to 12, hence option A. is true.
The average of a quantity is given by mean so, the average height can be compared by the given mean values of the trees. Since, A has lesser mean value (= 25) than B(=60), tree A is said to have lower average height than tree B hence option B. is true.
Answer:
A and B
ITS RIGHT FOR ME!!!!!!!
What is a positive coterminal angle to -32° that is between 500° and 1000° and a negative
coterminal angle to -32° that is between – 500° and -50°?
Positive coterminal angle = 688 degrees
Negative coterminal angle = -392 degrees
Solution:
Coterminal Angles are angles who share the same initial side and terminal sides.
Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians
Positive coterminal angle:
The positive coterminal angle of [tex]-32^{\circ}[/tex] is given as:
We have to find positive coterminal angle between 500° and 1000°
Between 500° and 1000° there is an angle which is coterminal to 0°:
2 x 360° = 720°
positive coterminal angle = [tex]-32^{\circ} + 720^{\circ} = 688^{\circ}[/tex]
Negative coterminal angle:
We have to find negative coterminal angle between – 500° and -50°
Negative coterminal angle = [tex]-32^{\circ} - 360^{\circ} = -392^{\circ}[/tex]