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barxatty [35]
3 years ago
6

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

55% salt and Solution B is 80% salt. She wants to obtain 80 ounces of a mixture that is 75% salt. How many ounces of each solution should she use?
Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

108 ounces

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

Equation 1: x + y = 180      

Equation2: y = 180 - x

.60x+.85y=.75(180)

.60x+.85y=135      

Multiply both sides of the equation by 100 to remove the decimal points.

60x+85y=3500

60x+85(180 - x)=13500

60x+15300-85x=13500

-25x=-1800

x=72ounces

y=180-72

y=108 ounces          

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Jace and Lianna each baked a loaf of bread. jace cut his loaf into halves and lianna cut her loaf into thirds. Jace says they ca
Viktor [21]

Answer:

Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread

7 0
2 years ago
Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of adults who have a job
pychu [463]

Answer:

Type I error: The correct option is (C).

Type II error: The correct option is (D).

Step-by-step explanation:

The type-I-error is the probability of rejecting the null hypothesis when the null hypothesis is true.

The type-II-error is the probability of filing to reject the null hypothesis when in fact it is false.

The hypothesis in this problem can be defined as follows:

Null hypothesis (H₀): The percentage of adults who have a job is equal to 88%.

Alternate Hypothesis (Hₐ): The percentage of adults who have a job is different from 88%.

  • Type I error:

The type-I-error in this case will be committed when we conclude that the percentage of adults who have a job is different from 88% when in fact it is equal to 88%.

  • Type II error:

The type-II-error in this case will be committed when we conclude that the percentage of adults who have a job is equal to 88% when in fact it is different than 88%.

3 0
4 years ago
A study was conducted of the trend in the design of social robots. In a random sample of 113 social​ robots, 67 were built with
Leno4ka [110]

Answer:

97/113

Step-by-step explanation:

67 robots have legs only, 21 have wheels only, and 9 have both legs and wheels.  The total number of robots with legs and/or wheels is 97.

The probability is 97/113.

4 0
3 years ago
9 divided by one third
uysha [10]
9: \frac{1}{3}=9*3=27
6 0
4 years ago
Find the measure for LQR.
Charra [1.4K]

Answer:

Option A

m\angle LQR=126^o

Step-by-step explanation:

step 1

Find the value of b

we know that

m\angle MQR=m\angle LQX ----> by vertical angles

substitute the given values

(-3b+63)^o=(90-12b)^o

solve for b

12b-3b=90-63\\9b=27\\b=3

step 2

Find the measure of angle LQR

we know that

m\angle LQR+m\angle MQR=180^o ---> by supplementary angles (form a linear pair)

m\angle MQR=(-3b+63)^o

substitute the value of b

m\angle MQR=(-3(3)+63)=54^o

substitute in the expression above

m\angle LQR+54^o=180^o

m\angle LQR=180^o-54^o=126^o

6 0
3 years ago
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