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.
A triangle has side lengths of 2 feet, 5.4 feet, and 5 feet. The angle measures are 90 degrees, 73 degrees, 17 degrees. Another triangle has side lengths of 3 feet, 8.1 feet, 7.5 feet. The angle measures are 90 degrees, 73 degrees, 17 degrees. Are the triangles similar? If so, what is the scale factor going from the top triangle to the bottom triangle?
Answer:
Yes. The factor is 3/2 (=1,5)
Step-by-step explanation:
They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.
Answer:
1) yes 2) 1.5
Step-by-step explanation:
have a nice day! <:
the probability of selecting a green ball from a bag is a 1 out of 8. If you select 3 balls, what is the probability of at least one of them being green?
Answer:
3/8
Step-by-step explanation:
simply multiply 1/8 by 3/1
3X1 is 3 and 8X1 is 8 so 3/8
Please help I only have an hour.
Answer:
Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]
Step-by-step explanation:
[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]
X = 4 – 1 = 3
Y = 4 – 2 = 2
[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]
Equation of the line:
y = 0.66666666666667x + 1.3333333333333
or
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
When x=0, y = 1.3333333333333
When y=0, x = -2
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=
Answer:
i think 1/2(6x-10)-x = 2x-5
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Answer:
3.6? I don't really know
Employee: "We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."10% 15% 20% 30% 40%
Answer:
20%
Step-by-step explanation:
120 / 150 = 0.8 or 80%, so the difference is 20%
The discount percentage is 20%.
Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:
150 = 100 120 = X 120 x 100/150 = X 80 = X 100 - 80 = X 20 = X
Therefore, the discount percentage is 20%.
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The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823
Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.2 - 59}{6.7}[/tex]
[tex]Z = 0.7761[/tex]
[tex]Z = 0.7761[/tex] has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
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Find two numbers that round to 387.4 when rounded to the nearest tenth.
2y-7.4y=141.36
solve for y
5184 divided by 27
JUST ANSWER
Answer:
[tex]5184 \div 27 = 192[/tex]
Step-by-step explanation:
Hope this helps you !!I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
PLEASE HELP ME
7. (37:10) Kevin finds Buzz's life savings. If Buzz
had $47 and had been saving for 17 years, how
much could we expect him to save in 30 years?
Based on the information given, the amount that he'll be expected to save in 30 years will be $83.
From the question given, since Buzz had $47 and had been saving for 17 years, the amount saved per year will be:
= $47/17
= $2.7647
Therefore, the amount that'll be saved in 30 years will be:
= 30 × $2.7647
= $82.941
= $83
The amount saved will be $83.
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were u get 8 from and 17.6 u need to show ur work
I don’t understand what this question is asking for but here is what I understood.
8 comes after 7 and before 9
17.6 comes after 17.5 and before 17.7
hope it helps…?
What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?
Answer:
Step-by-step explanation:
Let's find an equation by starting with the slope intercept form:
y = mx + b
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope, so:
y = -(1/3)x + b
Now we need to find a value for b that will force the line to go through point (-6,-6). We can determine by putting the point (-6,-6) into the equation and solving for b:
y = -(1/3)x + b
-6 = -(1/3)(-6) + b [Enter the point (-6,-6]
-6 = 2 + b
b = - 8
The equation becomes y = -(1/3)x - 8.
See the attachment.
To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
please answer, thank you in advance to whoever does !!!!
Answer:
B
Step-by-step explanation:
Move it down 3 units, then rotate it.
What is this 3(x+2)<4(x−2)
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4
The system of equations that can be used to determine the number of nickels and dimes is:
x + y = 468
0.05x + 0.01y = 34.40
Where:
x = number of nickels
y = number of dimes
The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.
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In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
The width of the rectangle is 50% of its length. What is the area of the rectangle?
Answer:
area = length x half of length
Step-by-step explanation:
whatever the length of the rectangle is, replace it with 'length'
for example if the length was 6cm, it would be:
length x half of length = area
6cm x (6/2) = area
6cm x 3cm = area
18cm² = area
What is the area of the figure?
Answer:
doc
Step-by-step explanation:
sdsc
Help me please ******
Answer:
it is
Step-by-step explanation:
The parallel horizontal sides are the same length, so the figure is a parallelogram.
Solve for W
4w^2+9w= -2
Answer:
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
Step-by-step explanation:
[tex]4w^2+9w=-2[/tex]
[tex]4w^2+9w+2=0[/tex]
[tex]w^2+9w+8=0[/tex]
[tex](w+1)(w+8)=0[/tex]
[tex](4w+1)(w+2)=0[/tex]
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
22.68 ÷ 14.65 ayuden pliss
Answer:
1.54
Step-by-step explanation:
x^2-x+2=0
Please use the quadratic formula
Answer:
[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]
Step-by-step explanation:
[tex]\sf x^2-x+2=0[/tex]
Use quadratic formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1, b=-1, c=2[/tex]
___________________________
[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]
[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]_________________
[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]
[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex][tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]
_______________________________________
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One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?
Answer:
He had $210.1 after deductions.
Step-by-step explanation:
Add his regular pay and overtime pay together
$375.50 + $65.50 = $441
Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.
$441 - $230.90 = $210.1
Can someone please help me with this one? Tysm!!
Answer:
-26
Step-by-step explanation:
well add the negative numbers first so you get
-17-18=(-35)
then you add 9 so its (-35)+9=26
Answer:
Step-by-step explanation:
-17 + 9 +(-18) = -8 -18 = -26 final answer
Can someone help please !
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].
Solve for the 4th root of 16.
16=4*4=(2*2)(2*2)=2
A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.
Answer:
19.2 cm
Step-by-step explanation:
480×0.014
=19.2