Answer:
Equation is 3y = x + 19
Step-by-step explanation:
General equation:
[tex]y = mx + c[/tex]
For slope, m:
[tex]m_{1} \times m_{2} = - 1[/tex]
but m1 is -3:
[tex] - 3m_{2} = - 1 \\ m_{2} = \frac{1}{3} [/tex]
For y-intercept, c:
[tex]y = mx + c \\ 6 = ( - 1 \times \frac{1}{3} ) + c \\ \\ c = 6 + \frac{1}{3} \\ \\ c = \frac{19}{3} [/tex]
equation:
[tex]{ \sf{y = \frac{1}{3}x + \frac{19}{3} }} \\ \\ 3y = x + 19[/tex]
Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
What is a rational number between -1/5 and -2/5?
Answer:
-1/4
Step-by-step explanation:
-0.25
Find the measure of the missing angle.
124 degrees
117 degrees
106 degrees
127 degrees
Answer:
measure of missing angle is 127°
Step-by-step explanation:
let the missing angle be'x'
53°+x=180°{ straight angle }x=180-53x=127°hope it helps.stay safe healthy and happy...Answer:
The missing angle is 124°.
Step-by-step explanation:
Let the missing angle be x°.
53° + x° = 180° ( straight angle )
x° = 180° - 53°
x° = 137°
Hope it is helpful.....
Find the present balance.
Below is Elizabeth Hallett's bank statement. Her previous balance was $271.31 What is her present balance?
[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]
[tex]\\ \rm\longmapsto 231.80+345.85[/tex]
[tex]\\ \rm\longmapsto 577.65[/tex]
Debited amount:-[tex]\\ \rm\longmapsto 25.85+2.00[/tex]
[tex]\\ \rm\longmapsto 27.85[/tex]
Checked amount:-[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]
[tex]\\ \rm\longmapsto 117+19.45[/tex]
[tex]\\ \rm\longmapsto 136.45[/tex]
Total change in balance[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]
[tex]\\ \rm\longmapsto 577.65-191.3[/tex]
[tex]\\ \rm\longmapsto 386.35[/tex]
Now
Current balance[tex]\\ \rm\longmapsto 386.35+271.31[/tex]
[tex]\\ \rm\longmapsto\$ 657.66[/tex]
test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick
The test of validity is used to determine whether a claim is true or not, based on certain condition(s).
The validity of the given statement is true.
From the question, the given condition is:
Whenever he participates in a race, he is the winner
This can be interpreted as follows:
He wins all races he participates in.He doesn't win a race he doesn't participate in.So, if he is sick; it means that he does not participate in the race and as such he is not the winner.
Hence, the validity of the following statement is true
"Either he participates in the race or he is sick he is not the winner, therefore he is sick."
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4(2(-2)+3(3)-2(4.2)
......
If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.
Answer:
i believe its 1512mm
Step-by-step explanation:
56mm x 27mm
The product of 9 and 4 is divided by 6 .Make mathematical expressions and simplify
Answer:
The answer is 6
Step-by-step explanation:
9×4/6
=36/6
=6.
WILL GIVE BRAINLIEST!!
find x
5x-3(x-8)=2x-4
Answer:
no solution
Step-by-step explanation:
5x-3(x-8)=2x-4
Distribute
5x -3x+24 = 2x-4
Combine like terms
2x +24 = 2x-4
Subtract 2x from each side
2x+24-2x = 2x-4-2x
24 = -4
This is not a true statement so there is no solution
Answer:
No Solution
Step-by-step explanation:
5x-3(x-8)=2x-4
1) Distribute:
5x -3x+24 = 2x-4
2) Simplify:
2x +24 = 2x-4
3) Subtract 2x from both sides
2x+24-2x = 2x-4-2x
We are now left with (after simplifying): 24 = -4
**NO SOLUTION!**
a recipe which yields 5 serving calls for 2 cups of milk. how many cups of milk are needed to make 9 servings?
Answer:
3.6 cups of milk
Step-by-step explanation:
Create a proportion where x is the number of cups of milk needed for 9 servings:
[tex]\frac{5}{2}[/tex] = [tex]\frac{9}{x}[/tex]
Cross multiply and solve for x:
5x = 18
x = 3.6
So, 3.6 cups of milk are needed to make 9 servings.
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
6
NA
O The function is positive for all real values of x where
x < -1.
The function is negative for all real values of x
where
x < -3 and where x > 1
The function is positive for all real values of x where
x>0
The function is negative for all real values of x
where
X<-3 or x>-11
+
6
4
2
4
6
x
-2
-2
4
-6-
-
Mark this and retum
Save and Exit
Next
Submit
9514 1404 393
Answer:
(b) The function is negative for all real values of x where x < -3 and where x > 1
Step-by-step explanation:
It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.
Which equation is represented by the graph?
Answer:
y = -|x + 1| - 4
Step-by-step explanation:
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride?
Answer:
$2.20
Explanation:
For every mile $0.20 is charged
The base fee is $2.00
If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00
2.00 + 0.20 = 2.20
1+1×5−6+8×(4+4)−62
Find the ans here
Answer:
2
Step-by-step explanation:
1+1×5−6+8×(4+4)−62 =
1+1x5-6+8x(8)-62 =
1+5-6+64-62 =
2
Hope this helps! :)
This is the answer but can someone do the work plss??
I need to know the answer to this question
Answer: c. y= 2x -3
Step-by-step explanation:
Slope Intercept Form: y= mx +b
m=slope
b= y intercept
the slope is 2 because the line "rises" 2 times and "runs" 1 time
rise/run
2/1
m=2
the y intercept is where the line crosses the (vertical) y-axis
on this graph the line crosses at (0,-3), therefore
b= -3
plug into Slope Intercept Form:
y= mx +b
y= 2x-3
Three years back, afather was 24 years older than his son at present the father is 5 times as old as the son how old will the son be three years from now?
Answer:
Let current age of father be x and current age of his son be y.
So 3 years ago, difference between their age was 24.
Therefore equation becomes
(x-3)-(y-3) = 24.
x - y = 24.
At present father is 5 times as old as son.
x = 5y.
Therefore 5y - y = 24.
y = 6.
Current age of son is 6 years. So after three years he will be 9 years old.
Step-by-step explanation:
2/3-5/6what is 2 / 3 - 5 / 6
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]
[tex] = \frac{ - 1}{6} [/tex] ✅
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I don’t understand this please help.
A circle has a diameter of 6, an area of b square units, and a circumference of c units. What is the value of b + c ?
Answer:
Step-by-step explanation:
Diameter = 6 units
Radius = Diameter/2 = 6/2 = 3 units
Taking π=3.14
Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c
c = 18.84
Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b
b = 28.26
So,
b + c = 28.26 + 18.84 = 47.1
Answer:
b=6π the unit(cm)
c=18.84 the unit(cm)
b+c=
9+18.84=27.84
Step-by-step explanation:
circumference=c
diameter=d
radius=r
area=b
d=2r
6=2r
6=r
2
r=3
b=πr^2
b=3×3π
=9π
c=2πr
=2(3.14)3
= 3.14×6
=18.84
Miguel made 6 1/2 gallons of chill for a party. His guest ate 4 3/16 gallons. How many gallons of chill were left?
Answer:
2 5/16
Step-by-step explanation:
step by step instructions are in pic below
Simplify. 3√-28
A 2i√7
B 12i√7
C 61√7
D -6i√7
Answer:
C
Step-by-step explanation:
We want to simplify the expression:
[tex]\displaystyle 3 \sqrt{-28}[/tex]
Rewrite:
[tex]\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}[/tex]
Rewrite:
[tex]\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}[/tex]
Simplify. Let i = √(-1). Hence:
[tex]\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}[/tex]
Multiply:
[tex]\displaystyle = 6i\sqrt{7}[/tex]
In conclusion, our answer is C.
What is the answer for all of them
Find the midpoint of the segment with the given endpoints.
(-7, -9) and (-2,7)
Answer:
(-9/2,-1)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from
the original number, an answer will be obtained consisting of the same digits arranged in a different order
still. What is the other digit?
Answer:
1
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
One year, an athlete won a gold medal with a long jump of some
meters. Several years later, another athlete won a gold medal with a
long jump of 7.12 meters. The second jump was 0.13 meters longer
than the first. How long was the first jump? Write an equation
and solve.
Answer:
6.99 meters
Step-by-step explanation:
For this we have to use subtraction:
So if the second jump was .13 meters longer then the first and we know the second jump was 7.12 meters, we have to subtract 7.12 by .13 to get the length of his/her's first long jump. So our equation is 7.12-.13=length of first jump. So we end up getting 6.99=length of first jump.
Hope this helps! :D
3. The cost(P) in Ghana Ghana Cedis, of producing n items is given by the formula, P=3/4n + 1800. a. Find the cost of producing 2000 items il formulas.
Answer:
3300
Step-by-step explanation:
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
cost of producing 2000 items =3300
Solution:-
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
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BRAINIEST TO WHOEVER RIGHT
Answer:
(-6,6)
Step-by-step explanation:
Taylor and Anya live 36 miles apart.On Some Saturdays.They ride theirs Bikes toward each other's houses and meet somewhere in between. Taylor is very Consistent rider she finds that her speed is always close to 12.5 miles per hour.Anya rides more slowly than Taylor, but she is working out and is becoming a faster rider as the weeks go by.On a Saturday in July, the two friends set out on their bikes at 8 a.m.Taylor rides at 12.5 per hour and Anya rides at 5.5 miles per hour.After one hour, how far apart are they? Show your work and Explain your Answer.
At What Time will the two friends meet?How do you know? Show your Work and Explain your Answer.
Answer:
Taylor and Anya will meet at 10:00 a.m.
Step-by-step explanation:
If Taylor rides at 12.5 mph (miles per hour), and Anya rides at 5.5 mph (miles per hour), then we need to combine these ratios to see how far apart they will be in one hour.
12.5 mph + 5.5 mph = 18 miles
Therefore, after an hour, Anya and Taylor are 18 miles apart.
Since there houses are 36 miles apart, and 18 x 2 = 36, then we can infer that it will take two hours, two times the time it took for them to finish halfway of their journey, for them to meet.
8:00 a.m. + 2 hours = 10:00 a.m.
Therefore, Taylor and Anya will meet at 10:00 a.m.