Answer:
Step-by-step explanation:
a. 3-4x=-7-4x
3=-7. no solution
b. 15 - 2x = -7x
15 = -5x
x=-3. one solution
c. 7y-21=6y-21
y=0
1. -3x+4=-3x+7
4=7
2. 10+2x = 5x+2
8=3x
x=3/8
3. x+5=x+5
Answer:
Step-by-step explanation:
a) 3 - 4x = -7 - 4x
- 4x in both terms can be cancelled
3 = -7 ⇒ equation with no solution
b) 15 - 2x = -7x
15 = -5x
-3 = x
x = -3
c) 7 (y - 3) = 6y - 21
7y - 21 = 6y - 21
7y - 6y = -21 + 21
y = 0
1) Equation with no solution:
3x + 5 = 12 + 3x
there is no x that conforms that equation because the result is always 5 = 12, which is inconsistent
2) Equation with one solution
2y -5 = 7 ⇒ y = 12/2 ⇒ y = 6
3) Equation with infinite solutions
x - 10 = x - 3 - 7
Any value of x complies with this equation
Help me plz:))) I’ll mark u brainliest
Answer:
20, 20, 22
Step-by-step explanation:
An automobile costs $22,750 after a 30% discount. What was the original price of the automobile? (Do not enter the $ sign in your answer.)
Answer:
32,500
Step-by-step explanation:
22,750 = .70x. (Paid 70% since it was 30% discount)
divide both sides by .70
x = 32,500
Will give you Brainliest if your provide a valid answer and explanation!
Please don't steal my points, this is graded and really need help :/
Q: The wheels on Parker's bike have a circumference of about 50 feet. How far does the bike travel as the wheel makes 3 complete rotations? Remember to explain your answer!
Answer:
150 feet i think
Step-by-step explanation:
50*3=150
Please Help! Given triangles ABC and DEF, which statement explains a way to determine if the two figures are similar?
Verify corresponding pairs of angles are congruent by translation.
Verify corresponding pairs of sides are congruent by dilation.
Verify corresponding pairs of angles are congruent by dilation.
Verify corresponding pairs of sides are congruent by translation.
Answer:
A- Verify corresponding pairs of ANGLES are congruent by TRANSLATION.
Step-by-step explanation:
You find the congruent pairs by the angles, not the sides. Because the sides can be the same size but the angles can possibly not be congruent so you check by the angles. And Translation because you don't change the size of the object to see if it's congruent.
Similar triangles may or may not have congruent side lengths.
The true statement is: (a) verify corresponding pairs of angles are congruent by translation.
For the two triangles to be similar, the side lengths of both triangles may or may not be equal.
This means that: options (b) and (d) are not true
Translation does not alter side lengths and angles, while dilation alters measure of angles.
This means that:
The pair of corresponding angles should be checked by translating the triangles.
Hence, the true statement is: (a)
Read more about similar and congruent triangles at:
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Find the percent increase. Round to the nearest percent.
From 13 friends to 19 friends
Answer:
15
Step-by-step explanation:
Leslie invests $2500 in a savings account for 10 years. The account accrues interest at a rate
of 6% compounded semi-annually. How much money will be in the account at the end of the
10 years?
Answer:
You make $32,000 a year and want to save 10% of your income every year. How much should you put into savings every month?
$32$,000 x 0.10 = 3,200
You want to save $3200 a year.
You should be saving $266.67 a month or $133.33 a paycheck if you are paid
Step-by-step explanation:
Jorge plans to save the same amount of money for 6 weeks. He wants to buy a new tent for $110 and a camping pillow for $34. How much money should he save each week to buy both items?
Complete each congruence. Which is the correspondent side indicated in this picture.
Answer:
Option A
Step-by-step explanation:
Since they are congruent triangles, all the lengths are the same, but it’s just that triangle XYZ is flipped upside down. So if you flip it up to match triangle RTS, then XY is the same as RT.
Hope this helps :)
4) Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 450 miles on 20 gallons of gas. How far could
you drive on 40 gallons of gas? What is the car's gas mileage?
Answer:
900 miles
Step-by-step explanation:
Simply multiply 450 by 2.
40 ÷ 20 = 2
450 x 2 = 900
OR
Based on Proportion:
[tex]\frac{450}{20}[/tex] x [tex]\frac{x}{40}[/tex]
Cross multiply:
450 x 40 = 18,000
20 x X = 20x
20x = 18,000
Divide by 20:
x = 18,000 ÷ 20
Solve:
x = 900
Help please
........................
Answer:
8. (2, 0)
9. (3, 3)
10. equilateral
2.42 × 12 It’s nice and easy, 100 pts and brainliest. Ok I know most of you searched it up on the calc so don’t even. Enjoy.
Answer:
29.04
Step-by-step explanation:
i tried doing it without a calculator LOLLL
The table shows how much money a grocery store receives for selling different amounts of asparagus.
ASPARAGUS SALES
NUMBER OF POUNDS
TOTAL SALES
4 lb=
$10
6 lb=
$15
8 lb=
$20
10 lb=
?
12 lb=
?
If the unit rate is constant what are the total sales for 12 pounds of asparagus?
A. $32.50
B. $25.00
C. $22.50
Answer:
The answer is 32.50
Step-by-step explanation:
You would just keep counting up by fives and then you would also have to add tax because it is food -- I am happy to help! :)
Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of one star are (0,-8). The
point representing the star is then translated left 3 units. What are its new coordinates?
1. (0,-5)
2. (-3,-8)
3. (3.-8)
4. (0.-11)
Answer:
4
Step-by-step explanation:
the cost for 4 cellphone cases is $36 what is th e cost for 24 cases what is the cost for 20 cases plz help
24 cases would be 104 dollars and 20 would be 80 dollars mark brainliest please
Randomly selected 150 student cars have ages with a mean of 7.3 years and a standard deviation of 3.6 years, while randomly selected 65 faculty cars have ages with a mean of 5.9 years and a standard deviation of 3.5 years.
1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars.
The test statistic is
Is there sufficient evidence to support the claim that student cars are older than faculty cars?
A. Yes
B. No
2. Construct a 99% confidence interval estimate of the difference μ1−μ2, where μ1 is the mean age of student cars and μ2 is the mean age of faculty cars. <(μ1−μ2)
Answer:
1) B. NO
2) -0.049 < (μ1 − μ2) > 2.751
Step-by-step explanation:
Data of student cars;
Sample size; n1 = 150
Sample mean; x1¯ = 7.3
Sample standard deviation; s1 = 3.6
Faculty cars data;
Sample size; n2 = 65
Sample mean; x2¯ = 5.9
Sample standard deviation; s2 = 3.5
The hypotheses is defined as;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
1) Formula for test statistic for 2 sample test is;
z = (x1¯ - x2¯)/√[((S1)²/n1) + ((S2)²/n2)
z = (7.3 - 5.9)/√[((3.6)²/150) + ((3.5)²/65)
z = 1.4/√((12.96/150) + (12.25/65))
z = 1.4/√0.2749
z = 1.4/0.5243
z = 2.67
From online p-value from z-score calculator attached, using z = 2.67, one tailed test, significance level = 0.01,we have;
P-value = 0.003793
This is less than the significance level, thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that student cars are older than faculty cars.
2) Formula for the confidence interval is;
CI = μ1−μ2 = (x1¯ - x¯2) ± z√[((S1)²/n1) + ((S2)²/n2)
At significance level of 99%, z-score value is 2.576
Thus;
μ1−μ2 = (7.3 - 5.9) ± 2.576√[((3.6)²/150) + ((3.5)²/65)
μ1 − μ2 = 1.4 ± 2.576(0.5243)
-0.049 < (μ1 − μ2) > 2.751
PLEASE HELP MEEEEE!! WILL MARK BRAINLIST!!
The dot plots show the number of vehicles sold by salespeople at a dealership during two months. Which statement is best supported by the information in the dot plots?
A. The range of the number of vehicles sold is greater in March than in April.
B. The range of the number of vehicles sold is greater in April than in March.
C. The range of the number of vehicles sold each month cannot be determined, because the number of salespeople is different for each month.
D. The range of the number of vehicles sold is the same for each month.
A cereal box says that now it contains 20% more. Originally, it came with 20 ounces of cereal. How much cereal does the box come with now?
Answer:24ounces
Step-by-step explanation:
Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.
Which statement about|-8 is true?
|-8| represents a negative number.
|-8| represents the distance from -8 to 0 on a number line.
|-8|represents the opposite of 8.
|-8| represents the negative distance from 8 to 0 on a number line.
J
Answer:
Your second listed answer choice would be your answer.
You have $25 to buy a gift for your friend. If the gift you buy is $22 plus 6% tax, how much change will you receive?
Answer:
24.7
Step-by-step explanation:
Tom and Jerry were asked to solve the equation - 2y + 10 = -16. Tom wrote
y = 13 but Jerry wrote 13 = y. Tom is correct, but Jerry is wrong.
A.True
B.False
Answer:
false
Step-by-step explanation:
Both are correct
-2(13)+10=-16
both their answers satisfy the equation
A family has bags of popcorn in their cabinet. Each bag of popcorn has kernels in it. How many kernels of popcorn are in the cabinet?
Answer:
can you screen shot the question please
Use partial products to divide 528 ÷ 24. Enter your answer in the box.
Answer:
it 22
Step-by-step explanation:
hope it helped
The value of 524 divided by 24 is 22.
Divide the leftmost digit of the dividend (528) by the divisor (24).
Since 5 is less than 24, we consider the next digit as well, resulting in 52.
Now, divide 52 by 24. The quotient is 2, and the remainder is 4. Write down the quotient above the line.
Multiply the quotient (2) by the divisor (24), which gives us 48.
Subtract the product (48) from the previous step from the 52. The result is 4.
Bring down the next digit of the dividend (8) next to the remainder (4), resulting in 48.
Divide 48 by 24.
The quotient is 2, and there is no remainder.
Write down the quotient (2) above the line.
Therefore, the result of 528 ÷ 24 using partial products is 22.
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A decimal fraction in which a figures is repeated and indefinitely
Answer:
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.
Step-by-step explanation:
Michael went on a hike and recorded his elevation. In total, he went up 14.26 kilometers and went down 11.86 kilometers. His friend Andre did a different hike, and his net elevation gain was 2.5 times Michael’s. What was Andre’s net elevation gain?
Answer:
I don't know
Step-by-step explanation:
LOL XDDDDd
margo borrows $900.00 and must pay it back with 6% interest after 7 months. what is the total amount margo will pay back ?
Answer:
$954
Step-by-step explanation:
6% = 0.06
Adding 1 to the interest makes it so it’s added to the original amount.
$900 x 1.06 = $954
Four times the difference of a number and nine is -30 ."
Answer:
3/2
Step-by-step explanation:
Solve 4 (x - 9) = -30.
4x - 36 = -30
4x = 6
x = 6/4 = 3/2
A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers put an ad online asking for volunteers to participate in the study. One hundred subjects replied, and they were informed that one group would receive the new cream and the other group would receive a cream with no active ingredient. All 100 subjects were exposed to poison ivy. Fifty were then assigned to the group with the new cream, and 50 were assigned to the group with the cream with no active ingredient. After three days, the subjects’ level of irritation was measured.
Of the 50 subjects that were assigned to the cream with no active ingredient, 15 stated they had less irritation. What is this called?
placebo
control group
placebo effect
placebo control
Answer:
c
Step-by-step explanation:
The effect because of which 15 subjects stated that they had less irritation after having cream with no active ingredient is placebo effect.
What is placebo effect?The placebo effect occurs when a person's physical or mental health appears to improve after receiving a placebo or "dummy" treatment. injections, or even sham surgery.
The placebo effect is caused by an individual's belief in the benefits of the treatment and the expectation that it will make them feel better, rather than by the properties of the placebo.
Given,
50 subjects were assigned to the cream with no active ingredient, 15 stated they had less irritation.
The cream with no active ingredient is placebo, and this effect is called placebo effect.
Hence, 15 subjects stated that they had less irritation is a result of placebo effect.
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The diagram below shows a mass suspended on a string called a pendulum.
What energy transformation occurs as the mass moves from point A to B?
A-kinetic energy is converted to potential energy
B-potential energy is converted to kinetic energy
C-chemical energy is converted to electrical energy
D-gravitational energy is converted to chemical energy
Answer:
D-gravitational energy is converted to chemical energy
Step-by-step explanation:
Please give me brainliest
Please help I do not understand this and I would like some help to understand this.
Answer:
show the top plzzz
Step-by-step explanation:
The circumference of a circle is 70 cm. Find the area of the circle, rounding your
answer to 3 significant figures.