Step-by-step explanation:
3x-4y=13
y=-3x-7
3x-4(-3x-7)=13
3x+12x+28=13
15x=-15
x= -1
y= -3x-7 = 3-7= -4
( -1, -4)
A family of 2 adults and 3 children went on holiday to Miami.
The family visited a theme park.
They paid a total of 322 dollars to go in.
The exchange rate was £1 = 1.84 dollars.
Change 322 dollars to pounds (£).
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
Can you please tell me the equation to solve for x
Answer:
53 + 67 + x = 180
Step-by-step explanation:
Answer:
180 = 53 + x + 67
(A straight line equals 180°)
good luck, hope this helped :)
Everything we see and touch is made of ______.
Answer:
chemicals
Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals
If Evan wants 5/8 mile to his friends house then together they walked 7/12 mile to the movie theater which pair of fractions can avenues to find how far they walked in all
Answer:
5/8 + 7/12
Step-by-step explanation:
Miles to friends house = 5/8
Ditance to the movies = 7 1/2
To find the total distance walked in Wal, we sun the fraction of distance Evans walked to his friend's house and the distance walked from friend's house to the movies ;
That is :
5/8 + 7/12
= 29/24 miles
PLEASE ANSWER NOW FOR A TEST
Triangle ABC is similar to triangle TNW. Side BC corresponds to side NW. The perimeter of triangle ABC = 13.46. What it the perimeter of triangle TNW? A. 3.365
B. 4.24
C. 10.28
D.13.46
Please someone help me with this question
Answer:3^2
Step-by-step explanation:
:
(2x – Зу = 18
(2x + y = 2
Answer:
2x = 2 × 12 = 24 24 =2x 24-6=18
3y = 3 × 2 = 6 6 =3y
2x = 2×1 = 2 2 =2x 2+0=2
y = 0 0 = y
Step-by-step explanation:
I'm not sure how the question is mentioned in the test but from my point of view I got this not sure how the it is explained in your nest im only 11 so yeh. sos if its wrong
Answer:
y = -4
x = 3
Step-by-step explanation:
I will be using the elimination method to solve this:
Begin by times -1 to the bottom equation.
[tex]2x-3y=18[/tex]
[tex]-2x-y=-2[/tex]
Add them together
[tex]0x-4y=16[/tex]
ignore the 0x and divide -4 to both sides
[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]
y = -4
Plug y back into one of the two original equations
[tex]2x-3(-4)=18[/tex]
multiply -3 and -4 to get +12
[tex]2x+12=18[/tex]
subtract 12 to both sides
[tex]2x=6[/tex]
divide by 2 to both sides
x = 3
Can someone help me please
Can somebody help me please
In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the afternoon, he packed 2 pints of strawberries every 3 minutes. What was the difference between the morning and afternoon pack rates, in pints per hour?
A 5
B10
C40
D45
Answer:
A 5
Step-by-step explanation:
60 mins = 1 hour
60 divided by 4 is 15
60 divided by 3 is 20
15 times 3 is 45
20 times 2 is 40
45 - 40 is 5
Sandy took a boat ride down the Guadalupe River. The boat averaged 18 miles per hour. If the trip took 4 1/2 hour, how far down the river did Sandy ride?
Answer:
81 miles
Step-by-step explanation:
18x4=72 and then you have to add the 1/2 and 1/2 of 18 is 9 so you add 72+9=81 to get the answer. Hope this helps! <3
tim bought all of the 2 3 over 4 lb packages for a party
How many pounds of meat fid tim buy?
Answer: he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)
Step-by-step explanation:
We know that Tim bought all of the two 3/4 lb packages for a party.
Then he bought 2 packages. Such that each package has 3/4 lb meat.
Then the total amount of meat that Tim has is equal to 2 times the amount of meat in each package, this is:
Total meat = 2*(3/4 lb) = (6/4 lb)
and we can write 6 = 4 + 2
then:
Total meat = 6/4 lb = (4 + 2)/4 lb = (4/4 + 2/4) lb = (1 + 1/2) lb
So he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)
If the resistance in an electrical cirouit is
held constant, the amount of current
flowing through the circuit is directly
proportional to the amount of voltage
applied to the circuit. When 12v are applied
to a circuit, 240 mA of orrent flow
through the circuit. Find the new current if
the voltage is increased to 14 volts.
One hundred grams of radium are stored in a container. The amount RR (in grams) of radium present after tt years can be modeled by R=100e−0.00043tR=100e−0.00043t. After how many years will only 5 grams of radium be present? Round your answer to the nearest whole year.
Answer:
6967 years
Step-by-step explanation:
Given the exponential function :
R=100e−0.00043t
Time = t in years
R = final amount
Number of years in which only 5 grams of radium will be present :
R = 5
Plugging into our formula :
5 = 100 * e^−0.00043t
5 / 100 = e^−0.00043t
0.05 = e^−0.00043t
Take the In of both sides
−2.995732 = - 0.00043t
t = −2.995732 / - 0.00043t
t = 6966.819
t = 6966.819 years
t = about 6967 years
7.1 divided by 312.755
answer 0.0227014756
Step-by-step explanation:
or if you meant 312.775/7.1 it's 44.0528169
For the expression 6 + y - 3, determine the coefficient for the variable term.
A -3 B 0 C 1 D 6
Explanation:
Think of 6 + y - 3 as 6 + 1y - 3
y and 1y are the same thing because 1 times any number is that same number.
The coefficient is the number to the left of the variable, so the coefficient is 1.
Solve the system by substitution.
-4x-y=1
-9x+9=y
Answer:Add
9
to both sides of the equation.
x
=
y
+
9
x
+
y
=
6
Replace all occurrences of
x
with
y
+
9
in each equation.
Tap for more steps...
2
y
+
9
=
6
x
=
y
+
9
Solve for
y
in the first equation.
Tap for more steps...
y
=
−
3
2
x
=
y
+
9
Replace all occurrences of
y
with
−
3
2
in each equation.
Tap for more steps...
x
=
15
2
y
=
−
3
2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
15
2
,
−
3
2
)
The result can be shown in multiple forms.
Point Form:
(
15
2
,
−
3
2
)
Equation Form:
x
=
15
2
,
y
=
−
3
2
image of graph
Step-by-step explanation:
Alexandra is going to a carnival that has games and rides. Each game costs $3 and
each ride costs $4.50. Alexandra spent $54 altogether at the carnival and the number
of rides she went on is 7 more than the number of games she played. Graphically
solve a system of equations in order to determine the number of games Alexandra
played, 2, and the number of rides Alexandra went on, y.
PLEASE ANSWER ASAP
Answer:
Game =$6 and ride=$9, to solve is 3x+4y=54
x+y=15
Step-by-step explanation:
;)
The differnce between a number divide by 3 and 4 is 20
Answer:
(n/3)/4 =20
Step-by-step explanation:
i think this is what your looking for if not im sorry
have a blessed day :)
A(n) _____ inequality is an inequality involving a quadratic expression.
A. Quadratic
B. Linear
C. Absolute value
D. Rational
Answer:
Step-by-step explanation:
A.Quadratic
A racecar driver completes a race 30 laps in 15 minutes at a constant speed. what is the driver's speed?
Answer:
200 mph/321 km/h if the track is 1 mile long and 100 mph/160 km/h if the track is 2 miles long
Step-by-step explanation:
Please help me with this ASAP
solve this please
log(4x+16)=2
Answer:
X = -3.5
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
4x+16=2
-16 -16
4x= 2-16
4x=-14
/4 /4
x= -7/2
My classroom is 12 feet by 16 feet. What is the area of my classroom? Make sure you label your answer correctly with your answer.
Answer:
[tex]192 \: sq {}^{2} [/tex]
Step-by-step explanation:
To find area, multiple the length by the width. In this case, the length is [tex]16[/tex] and the width is [tex]12[/tex].
[tex]12×16=192[/tex]
How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?
Answer:
x=1
Step-by-step explanation:
you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
x=1
Answer:
(1,2)
Step-by-step explanation:
1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:
[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]
2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:
[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]
So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:
[tex]r = \frac{4\,in}{5\,ft}[/tex]
We can convert each length by dividing it by scale factor. That is:
Length
[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]l' = 20\,ft[/tex]
Width
[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]w' = 31.25\,ft[/tex]
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
A.42.6 square units
B. 128 square units
C. 32 square units
D. 64 square units
Answer:
Step-by-step explanation:
D. 64 square units
If you earn $10 per hour babysitting, and you work 5 hours per week, how much money will you earn in 4 weeks?
Answer:
$200
Step-by-step explanation:
1 week: $50
1 week ($50) x 4 = $200
Answer: You will earn $200 in the span of 4 weeks.
Step-by-step explanation:
• First, multiply the pay rate ($10 per hour) by the number of hours (5), yielding $50 a week.
• Multiply the total pay in the span of 1 week by the number of weeks (4 in this case), resulting in $200 in the span of 4 weeks.
ASAP plot the graph here arigato
Answer:
Its point A. Or 4,5 or -4,5
Step-by-step explanation:
Help i dont know the answer
Answer:
25
Step-by-step explanation:
In her first 5 days, she reads 80 pages. That means that per day, she reads 16 pages. Then, she had 400 pages left, since 480-80 = 400.
So, you divide 400/16 = 25 days.