Answer:
p=1
Step-by-step explanation:
A costume designer needs some silver and gold thread for the costumes for a school play. She needs a total of 240 yards. At a store that sells thread by the yard, silver thread costs $0.04 a yard and gold thread costs $0.07 a yard. The designer has $15 to spend on the thread.
How many of each color should she get if she is buying exactly what is needed and spending all of her budget?
Write an equation for the length constraint. Write an equation for the cost constraint. solution
Answer:
Where s represents silver and g represents gold,
Length constraint: s+g=240
Cost constraint: 0.04s+0.07g=15
s= 60
g=180
Step-by-step explanation:
The measurement of silver and gold threads in yards is given as 60 and 180 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given problem can be solved as follows,
Suppose the number of yards for silver threads be x and that of gold be y.
Then the equation for the total yard is given as,
x + y = 240 (1)
And, the equation for the cost is,
0.04x + 0.07y = 15 (2)
The value of x from equation (1) is x = 240 - y.
Substitute the value of x in equation (2) to obtain,
0.04(240 - y) + 0.07y = 15
=> 9.6 - 0.04y + 0.07y = 15
=> 0.03y = 15 - 9.6
=> 0.03y = 5.4
=> y = 180
Substitute the value of y in x = 240 - y to obtain,
x = 240 - 180 = 60
Hence, the costume designer should get silver and gold thread of 60 yards and 180 yards respectively.
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A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answer:
The value is [tex]p-value = 0.22663[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is [tex]H_o : p = 0.08[/tex]
The alternative hypothesis is [tex]H_a : p > 0.08[/tex]
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z)[/tex]
=> [tex]p-value = P(Z > 0.75)[/tex]
From the z-table
[tex]P(Z > 0.75) = 0.22663[/tex]
So
[tex]p-value = 0.22663[/tex]
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
can you help me on this question
they are the same but one of the is a bad pic
Need help ASAP !!! I am failing MATH
Answer:
i think it is D
Step-by-step explanation:
I WILL MARK BRAINLIST
A photograph is dilated to fit in a frame, so that its area after the dilation is 9 times greater
than the area of the original photograph. What is the scale factor of the dilation?
A photograph is dilated to fit in a frame, so that its area after the dilation is 9 times greater
than the area of the original photograph. What is the scale factor of the dilation?
Answer:
i think its 3
Step-by-step explanation:
just a quick question!!
Answer:
The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.
Step-by-step explanation:
2) Martha cut three pieces of rope that are 5 1/4 inches each from a rope that is 20 inches
long. What is the length of the remaining part of the rope?
Help me please
Answer:
Step-by-step explanation:
Total length of the rope = 20 inches.
Martha cuts 3 pieces of rope that is 5 1/4 inches each.
Find the total length of the 3 pieces of rope:
Total of 3 pieces of rope = 5 1/4 + 5 1/4 + 5 1/4 = 15.75
Since we know the total rope length is 20 inches, if you subtract the total length of the 3 pieces of rope you will get the remaining length of rope.
Remaining length = 20 - 15.75
= 4.25 inches of rope
Max ran 15 meters, this morning. this afternoon, he ran 48 meters how many more meters did he run this afternoon.
Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.
Answer:
[tex]\frac{1}{5} x-4[/tex]
Step-by-step explanation:
I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point
Answer:
y = 1/5x - 4
Step-by-step explanation:
y = mx + b
simply plug in the slope,
y = 1/5x + b
now put in the cooridinates for b,
-3 = 1/5 ( 5) + b
now solve for b,
-3 - 1 = b
-4 = b
now put -4 into the equation,
y = 1/5x - 4
The width of a rectangle is 50% more than the length. The perimeter is 65. Find both dimensions.
Answer:
Step-by-step explanation:
Perimeter of rectangle = 2 times width + 2 times length
P= 2W + 2L
Let's say W = width , L= length
We are told the width is 50% more than the length.
width = 0.5 + L
W = 0.5 + L
From here we can say
Perimeter = 2W + 2L so,
P = 2(0.5 + L) + 2L
P = 1 + 2L + 2L
P = 1 + 4L
We are also told perimeter is 65 (P=65)
65 = 1 + 4L
Subtract 1 from both sides
64 = 4L
Divide 64 by 4 to find L
L = 64/4 = 16
Now since we know L= 16, this means
W = 0.5 + L is the same as
W = 0.5 + 16 = 16.5
Therefore Length = 16, width = 16.5
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?
The constant is 18
To find distance (d) you would multiply the constant by the time(t).
D = 18t
Distance is speed x time, so the given constant would be the speed of the ant.
Which is the correct chemical equation for photosynthesis?
Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.
find the midpoint (-6,-10) (-2,-8)
Dennis mowed his next door neighbors lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many of each coin did he earn
Answer:
28 nickels and 52 dimes
Step-by-step explanation:
.05x 28 + .10 x 52 = 6.60
1.40 + 5.20 = 6.60
^28 + ^52 = ^80
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Cow
CCM! Payne New
Henry, Ladaris
DISTRICT SWI CA GRADE 6 MATH 20-21
D3101 2. P N →
Eat Test
4
BO
In a TV contest show, Thomas has 280 points. To determine his final score in the game, Thomas will spin the spinner shown below, and multiply his current number of points by the
fraction the spinner lands on
Which statement correctly describes the effect of multiplying his current score by the fractions shown on the spinner?
A Multiplying by will decrease his score
B Multiplying by will decrease his score.
Copyright 2020 laminate Education, Inc. All Rights Reserved
US 2:41
Answer:
Step-by-step explanation:
The Madison's son Dwayne
Write 3.6 x 10^-3 in standard form.
Answer: 33
Step-by-step explanation: hope this helps
Can someone please help me?
Answer:
232.05
Step-by-step explanation:
find out how much it started out with
so divide 46dollars and 50 cents by 3
then you'll have 15dollars and 5 cents
now you know thats how much earned at first you multiply by 15 and you get the answer above
good luck
What did Physics say to History when they are arguing?
Answer:
Hey!
Here's your answer!!
➡️Don't change the subject⬅️
Why do they even exist!?
Gotta study those experiments which we never perform and those people who are long gone xD
When do we use inequalities?
Answer: In math but if u mean “irl” they use it in business like how much is in there inventory (stock) and the price stock they can make to get an profit and etc.
Step-by-step explanation:
PLEASE NEED HELP!!
ASAPPP
Answer:
Its the third option.
Step-by-step explanation:
No, all points on the line are solutions of the equation.
Answer:
answer the last yes because all the points meet
Step-by-step explanation:
What is the 8th term of the sequence 12, 17, 22, 27, 32,...
Answer:
47
Step-by-step explanation:
just keep adding by 5
A restaurant manager classifies customers as regular, occasional, or new
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
What is the slope of the line that passes through the points (1, 1) and (7, 5)?
Answer:
The slope of the line is
[tex] \frac{2}{3} [/tex]
Suppose you have information about average heights of a random sample of airline passengers. The mode is 65 inches, the median is 72 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?
Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm
Step-by-step explanation:
mode = 65*2.54 = 165.10 cm
median = 72*2.54 = 182.88 cm
mean = 70*2.54 = 177.80 cm
The values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
Given,
The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.
We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.
How many cm in one inch?There is 2.54 cm in one inch.
Example:
If we want to find cm in 4 inches.
We just multiply 4 with 2.54 cm.
2.54 cm = 1 inch
4 x 2.54 cm = 4 x 1 inch
10.16 cm = 4 inches
We have,
We know that,
1 inch = 2.54 cm
Mode = 65 inches
1 inch = 2.54 cm
64 inches = 64 x 2.54 cm = 162.56 cm
Median = 72 inches
72 inches = 72 x 2.54 cm = 182.88 cm
Mean = 70 inches
70 inches = 70 x 2.54 cm = 177.8 cm
Thus the values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
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What is a better credit score?
Select the correct answer below:
A lower number
An even number
An odd number
O A higher number
Answer:
A higher number.
Step-by-step explanation:
You don't want your credit to be low, and a higher number beats all of them.
You want high credit.
Not low.
Answer:
definately you want a higher number
If Coach Smith has 12 players and each player needs three uniforms, three shin guards, two balls, and three pairs of cleats. How much will he end up spending on his equipment for the entire soccer team?
you can't do that. there isn't enough detail. we don't know how much each item costs
Monica works in a mailroom for 18 hours
each week. How many hours does she work in
52 weeks?
Answer:
936
Step-by-step explanation:
Because 18 times 52= 936
Here are recipes for two mixtures of salt and water that taste different. Mixture A: salt (teaspoons) water (cups) 4 5 7 8 3/4 9 11 1/4 Mixture B is defined by the equation y=2.5x , where x is the number of teaspoons of salt and y is the number of cups of water. Respond to the following questions: 1. If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. 2. Which mixture tastes saltier? Explain how you know.
Answer:
1.) Mixture A will use more salt.
Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.
2.) Mixture A
Step-by-step explanation:
Given the daya:
MIXTURE A
___Salt A(teaspoons _____water (Cups)
___4 _____________5
___7 _____________8 3/4
___9 _____________ 11 1/4
Mixture B is defined by the equation'
y = 2.5x ;
x = number of teaspoons of salt ;
y = number of cups of water
Respond to the following questions:
1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.
For mixture B:
If number of cups of water, y = 10
y = 2.5x ; 10 = 2.5x
10/2.5 = x
x = 4 ; 4 teaspoons of salt
Let's write an equation in terms of y and x to represent mixture A.
Mixture A:
5 = k4
k = 5/4
k = 1.25
Equation for mixture A:
y = 1.25x
10 = 1.25x
10/1.25 = x
x = 8 ; 8 teaspoons of salt
Mixture A will use more salt.
Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.
2. Which mixture tastes saltier? Explain how you know.
Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.
1. Mixture A will use 4 more teaspoon of salt
2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.
Recall:
A proportionate relation is defined by the formula: y = kxk is the constant of proportionality or unit rate between two variables.From the information given:
x = quantity of salt (teaspoons)y = quantity of water (cups)Therefore, k = y/x
Equation for mixture B is given as: y = 2.5x
Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.
Using (4, 5):
k = y/4 = 5/4 = 1.25Thus, substitute k = 1.25 into y = kxEquation for Mixture A is: y = 1.25x
1. Let's find the mixture that will have more salt if y = 10 (cups of water).
Substitute y = 10 in each equation that defines each mixturesMixture A: y = 1.25x
10 = 1.25x
Divide both sides by 1.258 = x
x = 8
Amount of salt you will have in mixture A is you use 10 cups of water is 8 teaspoonsMixture B: y = 2.5x
10 = 2.5x
Divide both sides by 2.54 = x
x = 4
Amount of salt you will have in mixture A is you use 10 cups of water is 4 teaspoonsThus, Mixture A will use 4 more teaspoon of salt.
2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.
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Please help answer this ?!
Answer:
i think you have the right answer
Step-by-step explanation:
good job!
Answer:
A
Step-by-step explanation:
Unless the shape is dialatedthe side lengths remain constant because you are just moving its position ,