sort the equations by the solution type. one solution, infinate solutions, no solution.
4x-4+2x=6x-4
4x+8>4x+10
4x+10=4x+10
6x+8≥2x-4
3x+5=3x-6
- 4x-4+2x=6x-4 : One solution
- 4x+8>4x+10 : No solution
- 4x+10=4x+10 : Infinite solutions
- 6x+8≥2x-4 : One solution
- 3x+5=3x-6 : No solution
Which option describes the purpose of a summary?(1 point)
Responses
to add supporting details to a text
to add supporting details to a text
to restate a text's most important information
to restate a text's most important information
to state the reader's opinion of a text
to state the reader's opinion of a text
to recap the minor details in a text
to restate a text's most important information
How does a summary compare to the text it summarizes?(1 point)
Responses
It has more details than the text.
It has more details than the text.
It shorter than the text.
It shorter than the text.
It has fewer main points than the text.
It has fewer main points than the text.
It is longer than the text.
It is shorter than the text.
Effective Summaries Quick Check
3 of 43 of 4 Items
Question
Use the summary of a book about starfish to answer the question.
Starfish are actually not fish at all. Because they do not have spines, or backbones, they belong to a category of species called invertebrates. Most starfish have spiny skin and five arms around a disk-like body. Their arms have tiny suckers that allow them to move slowly across the ocean floor. Starfish like to dine on clams, oysters, and snails. There are about 1,600 different species of starfish living in our oceans. One species, known as the leather star, lives on the West Coast of North America and can be found in depths of 300 feet. This type tries to avoid its predator, the morning sun star.
Stella wants to revise her summary so that it only includes major details about the starfish species. Which change should she make to her summary?
(1 point)
Responses
add her personal story about an experience with starfish
add her personal story about an experience with starfish
delete the minor details about the leather star species
delete the minor details about the leather star species
add information about starfish from other texts
add information about starfish from other texts
explain why starfish are her favorite sea creature
explain why starfish are her favorite sea creature
Skip to navigation
delete the minor details about the leather star species
What is one purpose for writing a summary?(1 point)
Responses
to learn the difference between major and minor details
to learn the difference between major and minor details
to help form an opinion about a text
to help form an opinion about a text
to help understand and remember what is read
to help understand and remember what is read
to learn how to check a text for false information
to help understand and remember what is read
What did gravity create when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system?(1 point)
Responses
the planets
the planets
the moons of planets
the moons of planets
the asteroid belt
the asteroid belt
the sun
the sun
How were the planets in the solar system formed?(1 point)
Responses
The remaining materials from the sun's formation clumped together due to gravity.
The remaining materials from the sun's formation clumped together due to gravity.
The solid materials were forced out of the sun's disc and cooled down.
The solid materials were forced out of the sun's disc and cooled down.
The dust particles were attracted by gravity from distant galaxies.
The dust particles were attracted by gravity from distant galaxies.
The gas particles released by the sun were pulled away and became solid.
The remaining materials from the sun's formation clumped together due to gravity.
What prevents the gravity of the sun to pull all of the planets towards it?(1 point)
Responses
the sun's weak gravity
the sun's weak gravity
the size and shape of the planets around the sun
the size and shape of the planets around the sun
the planets' speed as they orbit the sun
the planets' speed as they orbit the sun
the large distance of the planets from the sun
the planets' speed as they orbit the sun
Which change in the sun’s gravity would occur if the sun’s mass were reduced by one-half?(1 point)
Responses
It would be unchanged.
It would be unchanged.
It would be zero.
It would be zero.
It would be doubled.
It would be doubled.
It would be halved.
It would be halved.
How does division of labor affect the final product?
(1 point)
Responses
lower price, lower quality
lower price, lower quality
lower price, higher quality
lower price, higher quality
higher price, lower quality
higher price, lower quality
higher price, higher quality
lower price, higher quality
Which event would benefit toy producers rather than toy consumers?
(1 point)
Responses
A natural resource increases in price.
A natural resource increases in price.
A toy becomes popular and increasingly scarce.
A toy becomes popular and increasingly scarce.
A market shift causes people to put more money in savings.
A market shift causes people to put more money in savings.
A wider variety of toys from around the world reach the market.
A natural resource increases in price.
What would be a good economic strategy for an area with tropical weather but few skilled workers?
(1 point)
Responses
focus on growing high-yield crops
focus on growing high-yield crops
focus on urban planning and housing
focus on urban planning and housing
focus on developing education and a technology sector
focus on developing education and a technology sector
focus on building specialized factories
focus on growing high-yield crops
The United States experienced a recession that lasted for more than a year in the late 2000s. How did this recession most likely affect U.S. trade partners Canada and Mexico?
(1 point)
Responses
Their economies were not affected by this problem.
Their economies were not affected by this problem.
They had some economic decline because of lower U.S. spending.
They had some economic decline because of lower U.S. spending.
Their economies grew because consumers could buy U.S. products more cheaply.
Their economies grew because consumers could buy U.S. products more cheaply.
They had major economic problems because they could no longer consume the goods that they needed.
They had some economic decline because of lower U.S. spending.
What number will make the fractions equivalent?
712 = ?48
(1 point)
$$
The fractions would be equivalent if the question was written as:
7/12 = ?/48
To find the missing number, we can set up a proportion:
7/12 = x/48
Cross-multiplying:
12x = 7 * 48
12x = 336
Dividing both sides by 12:
x = 336/12
x = 28
So, the missing number that will make the fractions equivalent is 28.
What number must replace x
and y
for the three fractions to become equivalent?
614 = x7 = 24y
(1 point)
x =
, y =
To make the three fractions equivalent, we need to find values for x and y that satisfy the given equations:
614 = x/7 = 24/y
To find x, we can multiply both sides of the equation 614 = x/7 by 7:
7 * 614 = x
x = 4298
To find y, we can multiply both sides of the equation 614 = 24/y by y:
24 = 614/y
24y = 614
y = 614/24
Simplifying further:
y = 25.58333333 (rounded to 8 decimal places)
So, x = 4298 and y = 25.58333333 (approximately) would make the three fractions equivalent.
its not x = 4298 and y = 25.58333333
Apologies for the incorrect response. Let's approach the problem again:
We are given the equations:
614 = x/7 = 24/y
To find x, we can cross-multiply the first equation:
614 * 7 = x
x = 4298
To find y, we can cross-multiply the second equation:
24 * y = 614
y = 614/24
Simplifying further:
y = 25.583333...
So, the correct values are x = 4298 and y ≈ 25.583333... (repeating decimal).
Mary prepared 40 pineapple fruit yogurt cups to sell at a school fair. She sold 58 of the cups. How many cups did Mary sell? (1 point)
$$
Mary sold 58 pineapple fruit yogurt cups.
Mary prepared 40 pineapple fruit yogurt cups to sell at a school fair. She sold 5/8 of the cups. How many cups did Mary sell? (1 point)
$$
To find out how many cups Mary sold, we need to calculate 5/8 of the total number of cups she prepared.
5/8 * 40 = 25
Mary sold 25 pineapple fruit yogurt cups.
Convert 5812 to an improper fraction. Write your answer in simplest form.(1 point)
$$
To convert 5812 to an improper fraction, we need to make the whole number part the numerator and the denominator is 1.
5812/1
So, 5812 written as an improper fraction in simplest form is 5812/1.
Convert 5 8/12 to an improper fraction. Write your answer in simplest form.(1 point)
$$
To convert 5 8/12 to an improper fraction, we first need to convert the mixed number (5 8/12) into an improper fraction.
Step 1: Multiply the whole number (5) by the denominator of the fraction (12).
5 * 12 = 60
Step 2: Add the result from Step 1 to the numerator of the fraction (8).
60 + 8 = 68
Step 3: Keep the denominator the same.
The denominator remains 12.
So, 5 8/12 as an improper fraction in simplest form is 68/12.
Convert 12815 to a mixed number.(1 point)
To convert 12815 to a mixed number, we divide the numerator (12815) by the denominator (1).
The quotient is the whole number part of the mixed number:
Quotient = 12815 ÷ 1 = 12815
The remainder is the numerator of the fractional part:
Remainder = 0
So, the mixed number form of 12815 is 12815/1, which is equivalent to the whole number 12815.
Equivalent Fractions and Mixed Numbers Quick Check
1 of 51 of 5 Items
Question
Which pair of fractions are equivalent to 29?(1 point)
Responses
2027, 1219
Start Fraction 20 over 27 End Fraction comma Start Fraction 12 over 19 End Fraction
627, 1254
Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction
627, 1245
Start Fraction 6 over 27 End Fraction comma Start Fraction 12 over 45 End Fraction
527, 1254
Start Fraction 5 over 27 End Fraction comma Start Fraction 12 over 54 End Fraction
The correct pair of fractions that are equivalent to 29 is:
527, 1254 (Start Fraction 5 over 27 End Fraction, Start Fraction 12 over 54 End Fraction)
Judy’s mom prepared 30 sandwiches for her friends. Her mom added chicken breast to 25 of the buns. How many chicken sandwiches did her mom make?(1 point)
Responses
18
18
14
14
12
12
16
Judy's mom made 25 chicken sandwiches.
Judy’s mom prepared 30 sandwiches for her friends. Her mom added chicken breast to 2/5 of the buns. How many chicken sandwiches did her mom make?(1 point)
Responses
18
18
14
14
12
12
16
To find out how many chicken sandwiches Judy's mom made, we need to calculate 2/5 of the total number of buns.
2/5 * 30 = 12
Judy's mom made 12 chicken sandwiches.
A fermata tells the performer to
(1 point)
Responses
suddenly get louder in dynamic level.
suddenly get louder in dynamic level.
suddenly get softer in dynamic level.
suddenly get softer in dynamic level.
hold the note longer than its normal duration.
hold the note longer than its normal duration.
play the note shorter than its normal duration.
hold the note longer than its normal duration.
Which term refers to the assignment of particular instruments to musical passages?
(1 point)
Responses
articulation
articulation
orchestration
orchestration
timbre
timbre
dynamics
orchestration
The dynamics of a musical piece refer to the ___________
(1 point)
Responses
key signature.
key signature.
composer's history.
composer's history.
volume changes.
volume changes.
instrumentation.
instrumentation.