Answer:
no, no, yes, no
Step-by-step explanation:
3x + 7y = 17
1. 3(5) + 7(3) = 17 ---> 15 + 21 = 17 (false)
2. 3(-8) + 7(-2) = 17 ---> -27 + -14 = 17 (false)
3. 3(-6) + 7(5) = 17 ---> -18 + 35 17 (true)
4. 3(8) + 7(-1) = 17 ---> 18 + -7 = 11 (false)
(5, 3) and (-8, -2) are not solutions to the equation. (-6, 5) and (8, -1) are solutions to the equation.
To determine whether each ordered pair is a solution to the equation 3x + 7y = 17, we substitute the given x and y values into the equation and check if it holds true.
Let's evaluate each ordered pair:
(x, y) = (5, 3)
Substitute x = 5 and y = 3 into the equation:
3(5) + 7(3) = 15 + 21 = 36
36 ≠ 17
Therefore, (5, 3) is not a solution to the equation.
(x, y) = (-8, -2)
Substitute x = -8 and y = -2 into the equation:
3(-8) + 7(-2) = -24 - 14 = -38
-38 ≠ 17
Therefore, (-8, -2) is not a solution to the equation.
(x, y) = (-6, 5)
Substitute x = -6 and y = 5 into the equation:
3(-6) + 7(5) = -18 + 35 = 17
17 = 17
Therefore, (-6, 5) is a solution to the equation.
(x, y) = (8, -1)
Substitute x = 8 and y = -1 into the equation:
3(8) + 7(-1) = 24 - 7 = 17
17 = 17
Therefore, (8, -1) is a solution to the equation.
In summary:
(5, 3) and (-8, -2) are not solutions to the equation.
(-6, 5) and (8, -1) are solutions to the equation.
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does anyone get this if so lmk thx:)
If VT bisects STU, solve for x
Answer: x=10
Step-by-step explanation:
3x+2/24=12/9
9(3x+2)=288
27×+18=288
-18
27x=270/27
x=10
An angle is a figure created by two rays. The value of x is 10 units.
What is an angle?An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle.
The line VT bisects ∠STU, therefore, the two triangles will be similar because VT is the common line between the two triangles while ∠STV and ∠UTV are equal angles. Therefore, we can write,
[tex]\dfrac{UT}{UV} = \dfrac{ST}{SV}\\\\\dfrac{3x+2}{24} = \dfrac{12}{9}\\\\3x+2 = \dfrac{12 \times 24}{9}\\\\\\3x+2=32\\\\x=10[/tex]
Hence, the value of x is 10 units.
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Janice makes $5.25 per hour babysitting. In one week she received a bonus of $25 plus her hourly rate. Which equation would express Janice’s earnings if she wants to get more than $250 for the week?
A. $5.25h – 25 > $250
B. $5.25 + h + 25 > $250
C. $5.25h + 25 > $250
D. $5.25 – 25h > $250
Answer: C
Step-by-step explanation: The $25 is added on to the constant rate of $5.25. This means that it would be $5.25 + $25 > $250
Answer:
C
Step-by-step explanation:
$5.25 is affected by the number of hours she baby sits, so it needs to have an h next to it to show that, that makes B and D incorrect.
You need to add 25 to the total, not subtract it, so A is also incorrect. that leaves C
What time does the clock show?
12
11
1
10
21
9
3-
8
A
7 6 5
Answer:
11:41
Step-by-step explanation:
Hours : Minutes
The short hand denotes the hours (pointed half way between 11 and 12) and the long hand denotes the minutes (pointed between the 8 and 9).
The printed numbers only tell you the hours. The small tic marks (small lines) between the numbers are what tell you the minutes (there are 5 tic marks per number)
Simplify (x^2 • x^4)3. Explain your steps.
PLEASE HELP I DON'T HAVE LONG!!!!!! 30 POINTS AND WILL GIVE BRAINLIEST QUICKLY!!!!!!!!!
hi please help me with i need help :(
Answer:
D. [tex]2\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{60} = \sqrt{2*2*3*5} = 2\sqrt{15}[/tex]
Answer:
D
Step-by-step explanation:
It's hard to explain, if you look it up, there are some helpful videos on simplifying radicals.
I need help with Geometry
Answer:
4
Step-by-step explanation:
KLMN is a rectangle.
Measures of the Diagonals of a rectangle are equal.
Therefore,
KM = LN
10x + 24 = 64
10x = 64 - 24
10x = 40
x = 40/10
x = 4
help pleaseee, i really need this
Answer: B
Step-by-step explanation:
Answer: the answer is D. x/2 <1
give 90 points so hurry plz
(-2, -4.5) - first you need to move on the x axis and then down on the y axis
solve and find x 3x+2/4x+1=5x+1/3x+2
Step-by-step explanation:
[tex]3x + \frac{2}{4} x + 1 = 5x + \frac{1}{3} x + 2 \\ 1.833 x+ 1 = 0 \\ 1.833x = - 1 \\ x = 0.545[/tex]
Place the following numbers in order from
largest to smallest
2
5'
0.25,
2.5%,
2.5 x 10-3
Answer:
5,2,0.25,2.5%,17.5
Step-by-step explanation:
this is helpful to you I wish
Find the perimeter of the trapezoid. Leave your answer in simples radical form
Answer:
[tex]105+15\sqrt{3}in[/tex]
A game has blue and orange pieces. The ratio of orange game pieces to total is 6:11 select ALL the statements about the game pieces that are correct.
Answer:
B and D
Explaintion
i need help prolly didnt pay attention lol
Answer:
identity
Step-by-step explanation:
Identity property
Hope this helps! :D
which fractional part of a rectangle below is equal to 5/10
Answer:
Step-by-step explanation:
Well, since there is no image I thought I would provide what a rectangle would probably look like in your case. The rectangle can be split into half parts 4 ways.
Ways it can be Split:1. We can split it the hotdog way, or staright down the rectangle (drawing provided down below)
2. We can split it the Hamburger way, again drawing is provided.
3. We can split it from the top-left corner to the bottom-right, and the opposite way around.
In a class of 32 students
the mean height of the 14 boys is 1.56 meters.
the mean height of all 32 students is 1.515 meters.
Work out the mean height of the girls.
Please help
WINNER GETS BRAINLIEST!!!!!!
Answer:
1.48 m
Step-by-step explanation:
In a class of 32 students
the mean height of the 14 boys is 1.56 meters.
the mean height of all 32 students is 1.515 meters.
Total number of students = 32
Mean height of all students = 1.515
We can obtain the sum of all student's height :
Number if students * mean height
= 32 * 1.515
= 48.48
Number of boys = 14
Mean height of boys = 1.56m
We can obtain the sum of all boys height :
Number if students * mean height
= 14 * 1.56
= 21.84
Number of girls :
All students - Number of boys
32 - 14 = 18
Sum of girls height :
48.48 - 21.84 = 26.64
Mean height of girls :
Sum of girls height / Number of girls
26.64 / 18
= 1.48 m
how do i solve 4g - 2 = -6
Answer:
So, first, you add 2 to both sides
4g=-4
then you divide 4 from both sides
g=-1
Step-by-step explanation:
Answer:
g = -1
Step-by-step explanation:
4g - 2 = -6 (Given)
4g = -4 (Addition Property Of Equality)
g = -1 (Division Property Of Equality)
The cost of milk increases from
70p to 84p. What is the
percentage increase?
Answer:
20%
Step-by-step explanation:
84-70=14
20% of 70 is 14
making sure it’s correct
Answer:
your correct i think are youable to retak it or no if no then wait untill some one els answers you cuz im not sure if i am correct
Step-by-step explanation:
Answer:
Yes, math isn't my strong suit but I did manage a B+ and that looks right to me.
Step-by-step explanation:
hope this helps <3
Find the quotient. 800 ÷ 4
Answer:
200
Step-by-step explanation:
Hopw this helps! <3
If 0.000006493 was written in scientific notation, what would be the exponent?
Answer:
6.493×10^ -6
.............exponent= -6
Identify the coefficient(s), constants, and number of terms for the following expression:
4x^2-5
Please help!!!
Terence saw a pair of jeans that he liked for $40. Then he saw a sign that
said everything in the store was 40% off. How much money will Terence
save? How much will the jeans cost?
Answer:
it would be $16 off 40 so the pants would be $24
a bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet. a sandbox has a volume of 16 cubic feet. approximately how many pounds of sand will it take to fill the sandbox
Answer:
It will take 1344 pounds of sand to fill the sand box.
Step-by-step explanation:
I'm sorry If I got this wrong, have a great day!
what price do Ashley's Tees and City Printing have exactly the same total cost?
What does this equal?
how do I determine if a function is even, odd, or neither
Answer:
The way to do is dow below
Step-by-step explanation:
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
A pizza is 10% off the regular price. The discount is $2. How much was the regular price of the pizza? What is the proper set up for this proportion?
Answer:
The pizza was $20
Step-by-step explanation:
$2/10%= $X/100%
Which equation is graphed?
Answer:
y= 2x+4
Step-by-step explanation:
To find slope its y2-y1/x2-x1
Plug it into any coordinate to get 2x
To find b in y=mx+b, you look at the y at the 0, in this case, "(0,4) Thefore the b is 5
Joe receives a weekly salary of $350 plus 10% commission on all sales. Last week, Joe had a total of $1,000 sales. How much total money did Joe make?
Given:
Weekly salary of Joe = $350
Commission of sales = 10%
Total sales of last week = $1,000.
To find:
The the total money did joe make.
Solution:
We have,
Commission of sales = 10%
Total sales of last week = $1,000
[tex]\text{Commission}=10\%\text{ of }1000[/tex]
[tex]\text{Commission}=\dfrac{10}{100}\text{ of }1000[/tex]
[tex]\text{Commission}=100[/tex]
Now,
Total weekly income = Weekly fixed salary + Commission
[tex]=350+100[/tex]
[tex]=450[/tex]
Therefore, the total income of Joe for last week is $450.