Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.
Answer:
m = -1/2
Step-by-step explanation:
Recall that slope = (change in y) / (change in x).
Going from (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and
y decreases by 1. Thus, the slope here is
m = (change in y) / (change in x) = (-1) / 2 = -1 / 2
m = -1/2
Martin Ellis sells a line of cooking pots. He is paid a salary of $1,150 a month plus a 10% commission on all sales. Last month his sales were $35,000. What were his total earnings?
a
$500.00
b
$4,650.00
c
$650.00
d
$50.00
Answer:$4,650.00
Step-by-step explanation:35,000x10%=3,500
3,500+1,150=4,650
3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?
The inequality that represents all possible values for x is x ≥ -27.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given statement can be written in terms of inequality as,
2/3x - 6 ≥ -24
=> 2/3x ≥ -24 + 6
=> 2/3x ≥ -18
=> x ≥ -27
Hence, the inequality expression for the given problem can be written as x ≥ -27.
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how do i solve this??
Answer:
128º
Step-by-step explanation:
You just add the two angles together
<GFE=<KFE+<GFK
<GFE=100+28
<GFE=128
Put the in order 7/16 1/2 3/8 9/32 5/16 15/32 ??? Put from greatest to least
I really need help with this question :)
Answer:
here you go.
Step-by-step explanation:
The diagonal is the hypotenuse of a rectangular triangle.
So:
d2=l2+w2
132=169=(x+7)2+x2=x2+14x+49+x2→
2x2+14x−120=0→x2+7x−60=0
A simple quadratic equation resolving into:
(x+12)(x−5)=0→x=−12orx=5
Only the positive solution is useable so:
w=5andl=12
I Need Help Please
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km
Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<-
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
y > 3x + 10
y < -3x - 1
Part A:You'd graph the given systems of linear inequalities the same way as you graph the linear equations.
To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph. Use a dashed line (because of the ">" symbol).
Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).
Pick a test point on either side of the boundary line and plug it into the original problem. This will help determine which side of the boundary line is the solution. Plug in a test point that is not on the boundary line.
Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.
y > 3x + 10
0 > 3(0) + 10
0 > 0 + 10
0 > 10 (False statement).
y < -3x - 1
0 < -3(0) - 1
0 < 0 - 1
0 < -1 (false statement).
Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.
Part B:
You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.
y > 3x + 10
10 > 3(8) + 10
10 > 24 + 10
10 > 34 (False statement).
y < -3x - 1
10 < -3(8) - 1
10 < -24 - 1
10 < -25 (false statement).
Therefore, (8, 10) is not a solution to the system.
Give the x-intercept for the equation 6x + 3y = -9
Answer:
-9/6 or -3/2
Step-by-step explanation:
To find the x intercept, substitute y = 0 into the equation:
6x + 3(0) = -9
Now simplify,
6x + 0 = -9
6x = -9
x = -9/6 → -3/2
Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead
The governor of Utah wants to know how long they have before the entire state is zombified. If there are 3.67 million people living in Utah (3,670,016 to be exact), how many days until the entire state is infected?
options:
19 days
2 years
11 days
52 days
Answer:
wait.
Step-by-step explanation:
what do u really mean by zombies
please show the work but thanks !!!
The population of a school is 800 students and is increasing at a rate of 2% per year. Use an
exponential function to find the population of the school after 9 years.
Answer:
7344 (yo i haven't done this since like 5th grade so i dont know if its right)
Step-by-step explanation:
800 increase by %2 is 816
816 x 9 = 7344
Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.
Answer:
[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]
m<DGI = 80°
[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]
The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The ray GI bisects ∠DGH.
It implies that the new angles are equal in measurement.
⇒ m∠DGI = m∠IGH
⇒ 3x - 9 = 2x + 21
⇒ x = 30
Then, in order to calculate m∠DGI, plug x = 30 in 3x - 9 as,
3 × 30 - 9 = 81
Hence, the measure of angle ∠DGI is given as 81°.
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Help stuck on this question
Answer:
Find the slope of the original line and use the point-slope formula: y−y1=m(x−x1 )
to find the line parallel to -> y = 6/7 x −2.
A: y = 6/ 7x−7
Simplify 14 to the fifteenth power over 14 to the fifth power.
Answer:
4^10
subtract 15-5 and leave the 14 be
Answer:
14 to the tenth power
Step-by-step explanation:
fifteen - fifth = ten. When you are working on exponential problems like this, remember to add or subtract the powers.
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
Help Pleasseeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
graph points (0,2) and (0.857,0)
Step-by-step explanation:
can i please have the brainliest
I need help plisss giving brainliest
Answer:
1) [tex]y=\frac{3}{2}x+8[/tex]
2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]
3)[tex]y=\frac{9}{7}x+1[/tex]
4)[tex]y=\frac{1}{3}x-2[/tex]
5)[tex]y=-\frac{6}{5}x-3[/tex]
6)[tex]y=4x-1[/tex]
7)[tex]y=\frac{11}{4}x-8[/tex]
8)[tex]y=\frac{11}{8}x+6[/tex]
Answer:
[tex]\sf 1) 3x-2y=-16[/tex]
subtract both sides by 3x:
[tex]\sf -2y=-16-3x[/tex]
[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]
[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]
________________
[tex]\sf 2) 13x-11y=-12[/tex]
Subtract 13x from both sides:
[tex]\sf 13x+11y-13x=-12-13x[/tex]
[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]
[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]
___________________
[tex]\sf 3) 9x-7y=-7[/tex]
Subtract 9x from both sides:
[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]
[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]
___________________
[tex]\sf 4)x-3y=6[/tex]
Add 3y from both sides:
[tex]\sf x-3y+3y=6+3y[/tex]
[tex]\sf x=6+3y[/tex]
Subtract 6 from both sides:
[tex]\sf x-6=3y[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]
[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]
[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]
____________________
[tex]\sf 5) 6x+5y=-15[/tex]
Subtract 6x from both sides:
[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]
[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]
_____________________
[tex]\sf 6) 4x-y=1[/tex]
Subtract 4x from both sides:
[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]
[tex]\boxed {\sf y=4x-1}[/tex]
_______________________
[tex]\sf 7)11x-4y=32[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]
[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]
_______________________
[tex]\sf 8) 11x-8y=-48[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]
[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]
________________________________
10. Write About It Meredith describes to Liza two purchases she made.
"On Monday, I bought 39 books and 21 CDs for $396. On Tuesday, at the
same prices, I bought 52 books and 28 CDs for $518."
Liza thought about the numbers and said, "That's impossible!" Is Liza
correct? Assume that all books cost the same amount and all CDs cost
the same amount. Explain.
Answer:
Yes, because the 39 books and 21 cds price is proportional to the 52 books and 28 cds' price
Step-by-step explanation:
:>
Help please i need to know this
Answer:true,true,false, true,false false
Step-by-step explanation:
Answer:
As shown in the attachment,
Step-by-step explanation:
Only answer please please
Answer: D
Step-by-step explanation:
Answer:$22.50
Step-by-step explanation:
The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:
($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.
[Note how the units cancel, leaving just $]
10. Determine if the equation x - y = 1 defines y as a function of x.
Answer:
No.
Step-by-step explanation:
First solve for y:-
x - y^4 = 1
y^4 = x - 1
y = +/- (x - 1)^(1/4)
This is a one-to-many relation . For a given value of y there 2 values of x.
So this is NOT a function.
Helpppppp!!! I don’t understand this!
Answer:
from a to t
Step-by-step explanation:
a=64°
b=116°
c=116°
d=64°
e=108°
f=72°
g=108°
h=72°
i=108°
j=108°
k=72°
m=105°
n=79°
q=116°
s=75°
t=119°s
Jose has 4 times as many baseball cards as his brother. Together they have 40 baseball cards. How many baseball cards does Jose's brother have?
Answer:
Ummm..... I would think 10??
Step-by-step explanation:
I don't really know tho.....
Answer:
10
Step-by-step explanation:
4x = 40
/4 /4
x = 10
(1.4,1.6);m=3.1 equation of the line in point slope form
Answer:
y-4=3.1(x-1)
or y-1.6=3.1(x-1.4)
Step-by-step explanation:
Answer:
y = 3.1x - 2.74
Step-by-step explanation:
y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34
= - 2.74
Simplify the expression using the order of operations. (21−3)÷32
Step-by-step explanation:
(21 - 3) ÷ 32
BIDMAS
Brackets: 21 - 3 = 18
Division: 18 ÷ 32 = (0.5625)
Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)
See the picture above for the solution.
1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)?
Answer:
82,000+7500+1,386=168,136
Step-by-step explanation:
You have to do Addition
Using the quadratic formula, which of the following are the zeros of the quadratic equation below?
y=x²-x-5
Answer: The answer is the option A.
x=(5±)/4
Step-by-step explanation: The quadratic formula has the following form for a quadratic equation ax²+bx+c:
x=(-b±))/(2a)
We apply the quadratic formula and we obtain:
x=(-(-5)±))/(2(2))
x=(-(-5)±))/(4)
x=(-(-5)±))/(4)
I need help on this question please help
Answer:
on day 6
Step-by-step explanation:
you would multiply