The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;
Statement A; The equation has one solution, y = 0
The given equation is;
3(-y + 7) = 3(y + 5) + 6
Expanding the brackets gives us;
-3y + 21 = 3y + 15 + 6
-3y + 21 = 3y + 21
Using subtraction property of equality, subtract 21 from both sides to give;
-3y = 3y
Using addition property of equality, add 3y to both sides to give;
-3y + 3y = 3y + 3y
6y = 0
Using division property of equality, divide both sides by 6 to get;
y = 0
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The missing statements are;
A. The equation has one solution, y = 0.
B. The equation has one solution, y = -1.
C. The equation has no solution.
D. The equation has infinitely many solutions.
How many students answered exactly two questions incorrectly
Step-by-step explanation:
you didn't post the questions yk?!
Sue wants to increase 160 by 4%
She writes down
160* 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4 , write down what she should have multiplied by --------------------->
Bill wants to decrease 160 by 6%
b) Complete he statement below to show how bill can decrease 160 by 6%
160 * =
Answer:
a) 1 04.
b) 160 * 0.94.
Step-by-step explanation:
b) We multiply by 1 - 0.06 = 0.94.
One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.
The probability of getting a head on the coin and an odd number on the die is 25%
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
One coin is flipped, and then one die is rolled.
Let H is the head and T is tails.
The sample space is {H, T}
The probability of getting a head on the coin
= The possible outcomes / the total outcomes
= 1/2
One die is rolled.
So, the sample space is {1, 2, 3, 4, 5, 6}
The sample space for odd number is {1, 3, 5}.
The probability of getting an even number on the die
= 3/6
= 1/2
If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:
P(A and B) = P(A) P(B)
= 1/2 x 1/2
= 1/4
= 0.25
And 0.25 in percentage is 25%.
Therefore, the probability is 1/4.
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#SPJ5
24 feet/second to inches/minute
Answer:
4.8 inches a minute is probably the answer
Answer:
4.8 inches a minute
Step-by-step explanation:
= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Time Height
(seconds) (feet)
5
1150
10
1090
15
1030
20
970
25
910
at air balloon's initial rate of change (slope).
Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
Skills needed: Linear Equations, Substitution and Division
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
The slope is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] --> [tex]y_1[/tex], [tex]y_2[/tex], [tex]x_1[/tex], and [tex]x_2[/tex] are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]
[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.
==================================================================
1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.
how to evaluate in math?
HELP PLEASE
what is 3/7-7/14 as a fraction
Answer:
-1/14or-0.07
Step-by-step explanation:
3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07
Need help fast hs geometry
= [180 - (100 + 40)]° = 40°
When two angles of a triangle are equal, then the triangle is isosceles.Here, the measure of angle A and B are equal, i.e., 40°So, ∆ABC is an isosceles triangle.Answers:
40°YesHope you could get an idea from here.
Doubt clarification - use comment section.
what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90
Answer:
Step-by-step explanation:
5 1/6, 5 13/30, 5 68/90
What is the equation of the line in slope-intercept form?
The equation of the line is
Answer:
y=mx+b
Step-by-step explanation:
The slope-intercepts formula, the y = y coordinate, m = slope, x = x coordinate, b = y intercept
the ratio of boys and girs at rotterdam high school is 3:5. there are 160 students at the school calculate the number of boys and the number of girls at rotterdam high school
Answer:
There are 60 boys and 100 girls at Rotterdam High SchoolStep 1: Add the ratios
=> 3 + 5=> 8Step 2: Divide 160 by 8.
=> 160 ÷ 8=> 20Step 3: Multiply.
=> Total students of boys: 20 x 3 = 60 students=> Total students of girls: 20 x 5 = 100 studentsTherefore, there are 60 boys and 100 girls at Rotterdam High School
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make
Answer:
63
Step-by-step explanation:
The least common multiple of 7 and 9 is 63
amanda is 25 years old. in 5 years she will be twice as old as simone how old i simone
what inequality does the number line graph represent
Answer: what number line
Step-by-step explanation:
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their present age-
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
Question 5 (1 point)
(07.07)
Find the product of (x - 5)2. (1 point)
оа
X2 + 10x + 25
Ob
x2 - 10x + 25
OC
X2 - 25
Od x2 + 25
Answer:
B. x^2 - 10x + 25
Step-by-step explanation:
(x - 5)^2
(x - 5)(x - 5)
x^2 - 5x - 5x + 25
x^2 - 10x + 25
Please help!!! what are the 3 solutions of 0
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.
Answer:
i think probably x = 1 or 5
Step-by-step explanation:
x²-6x+5 =0
so (x-1)(x-5) = 0
so x = 1 or 5
Georgia is 2 years younger than 1/3 of her Aunt Mika's age. How old would Georgia be if her Aunt Mika is 27?
Answer:
7
Step-by-step explanation:
First, we have to find 1/3 of 27, which is the aunt's age.
27/3 is 9.
Now, since Georgia is 2 years younger, we have to subtract 2 from 9.
9-2=7
-hope it helps
How is Maths used in Construction??
Can someone help me with 10 - 15 pages
Answer:
They measure the area, volume, length, and width, in construction
10 - 15 = -5
Step-by-step explanation:
HOPE THIS HELPED
help me on these questions pls
Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees
Step-by-step explanation:
what is 1/5 of 15? ( algebra)
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
By which reason can it be proven that triangles DAB and DAC are congruent?
AAS
SSS
SSA
AAA
Answer:
AAS
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side. What percent of people surveyed are from each neighborhood?
1. The percentage of people surveyed in East Harlem is 58.5%
2. The percentage of people surveyed in Upper East Side is 41.5%
From the question given above, the following data were obtained:
People surveyed in East Harlem = 183People surveyed in Upper East Side = 130Total people surveyed = 3131. Determination of the percentage of people surveyed in East Harlem.
People surveyed in East Harlem = 183Total people surveyed = 313Percentage of East Harlem =?Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100
Percentage of East Harlem = (183/313) × 100
Percentage of East Harlem = 58.5%
2. Determination of the percentage of people surveyed in Upper East Side.
Percentage of East Harlem = 58.5%Total percentage = 100%Percentage of Upper East Side =?Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)
Percentage of Upper East Side = 100 – 58.5
Percentage of Upper East Side = 41.5%
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$765. 13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent. A. $18,911. 18 b. $19,873. 08 c. $20,638. 21 d. $21,403. 34.
The amount of the account which is also the principal is = $3,188
The formula for calculating the simple interest (I) of an account is = P × T × R / 100
Making P the subject of formula, P = 100 × I / T×R
Where,
T = 2 years
R = 12%
I = $765. 13
[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]
[tex]p = \frac{76513}{24} [/tex]
p = $3,188
Therefore, the amount of the account which is also the principal is = $3,188
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Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n
Susan made 75 pieces of peanut brittle to share equally with her friends. She put 4 pieces of peanut brittle in each bag. She gave all the left over pieces of peanut brittle to her mom. How many pieces of peanut brittle did Susan give her mom?
Answer:
72/4=18 with remainder of 3 peices given to her mom
Step-by-step explanation:
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500.
a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?
a. The down payment is __?__% of the purchase price.
(Type a whole number.)
b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)
Divide the down payment by the purchase price then multiply by 100 to get the percent.
A. 37,500 / 150,000 = 0.25
0.25 x 100 = 25%
B. 67,500/150,000 = 0.45
0.45 x 100 = 45%
will mark brainleist
Answer:
Figure a) 2
Figure B) 4
Figure c) 5
Step-by-step explanation:
Answer: A: has 1 line B has 2 and 3 has 5
Step-by-step explanation: