Answer:
Step-by-step explanation:
Since both equations equals y, then both equations equal each other.
3x - 1 = 2x + 2
Subtract 2x from both sides
x - 1 = 2
Add 1 to both sides
x = 3
Plug x = 3 into one equation(doesn't matter which)
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
Answer:
[tex]x=3[/tex]
[tex]y=8[/tex]
Step-by-step explanation:
From these two equations, we can substitute the first equation into the second equation (or the other way round). This gives us:
[tex]3x-1=2x+2[/tex]
[tex]3x-2x=2+1[/tex] (minus [tex]2x[/tex] and add [tex]1[/tex] on both sides)
[tex]x=3[/tex]
To solve for [tex]y[/tex], we can use substitution again:
[tex]y = 3(3)-1[/tex] (using the first equation given)
[tex]y=8[/tex]
Hope this helps :)
if the cost of 4 kg of rice is rupees 90,then how much rice is purchased with rupees 247.50
Answer: 11
Step-by-step explanation:
90 : 4 = 22.5
247.50 : 22.5 = 11
hope is helps * hugs ✨
Edward deposited $9,000 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Edward earn in interest?
Please help im behind in math
Answer:
$12.664
Step-by-step explanation:
you invested $800 for 2 years at an interest rate of 4.5%. What was the interest earned on your investment?
Answer:
$72
Step-by-step explanation:
Interest = Principal(Rate)(Time)/100
Interest = $800(2)(4.5)/100
Interest = 7200/100
Interest = $72 (Answer)
Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A
Answer:
y = 5/8 x -2
Step-by-step explanation:
Given that the slope of the line, m=5/8, which passes through the point (-8,-7).
Let the equation of the line be y=mx+c
where m is the slope of the line and c is a constant.
As m=5/8, so the equation of line become
y= 5/8x+c
As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have
-7 = 5/8(-8)+c
-7 = -5 + c
c= -7 + 5
c= -2
On putting the value of c, the equation of line become
y=5/8 x -2
Hence, the equation of the line is y = 5/8 x -2.
A baby was born with a weight of 5 pounds and then began to gain 1.25 pounds per month. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth.
Answer:
1.25t+5
Step-by-step explanation:
periodpointblankPeople keep deleting my question but what is a square root of 50.
Answer:
5√2
Step-by-step explanation:
(5√2)^2 is 50 .........
Answer:
(5√2)^2
Step-by-step explanation:
hope this helps!
~mina
Which compound inequality has no solution?
Oxs-2 and 2x >6
Oxs-1 and 5x s5
Oxs-1 and 3x >-3
Oxs-2 and 4x s-8
HURRY PLSS
Answer: The first option:
x ≤ -2 and 2x ≥ 6
Step-by-step explanation:
A compound inequality will have no solution if the inequalities are contradictory.
An example of this would be:
x > 3 and x < 1
There is no value of x that is at the same time larger than 3, and smaller than 1.
Now, let's analyze the options.
1) x ≤ -2 and 2x ≥ 6
This has no solution, because if x ≥ -2, the maximum value that x can take is x = -2
Replacing that in the other inequality we get:
2*(-2) > 6
-4 > 6
This is false, then this compound inequality has no solution.
2) x ≤ -1 and 5*x < 5
This ineqalty has infinite solutions, one can be x = -2
-2 ≤ -1 and 5*(-2) < 5
are both true.
3) x ≤ -1 and 3x ≥ -3
A solution for this can be x = -1
-1 ≤ -1 is true
3*(-1) ≥ -3
-3 ≥ -3 is true.
Then we have at least one solution here.
4) x ≤ -2 and 4x ≤ -8
Here we have infinite solutions, one can be x = -10
-10 ≤ - 2 is true
4*(-10) ≤ -8
-40 ≤ - 8 is also true.
Then the only option that has no solutions is the first one.
What is the answer to y=-4/8x+9? PLEASE send your helping hands!!
Answer:
x=−2y+18
Step-by-step explanation:
if you want to graph it then click on the screenshot
(ps tell me if this helped)
PLS HELP
identify the slope and the y-intercept in the following equation
y=1/2x+3
One-sixth of the 24 children in the park are playing soccer. How many children are playing soccer in the park?
Answer:
Step-by-step explanation:
children playing in park = (1/6)*24 = 4
One-sixth of the 24 children in the park are playing soccer. How many children are playing soccer in the park?
24 children (whole
12 children (half
8 children (third
6 children (quarter
4 children (sixth
Two teams competed to raise money. Team 1 initially had $25 and collected $5 per day. Team 2 initially had $51 and collected $3 per day. On which day did the teams have the same amount of money?
Answer:
Day 13
Step-by-step explanation:
If you add on both side 13 time you get 90
Damian bought a box of raisins that weighed 40 ounces. How many pounds of raisins did Damian buy?
2 1/2
3
3 1/2
4
Answer: Your asnwer is 2.5 lbs Can i have branliest?
Step-by-step explanation:
help me plz (geometry)
Answer:
I’m pretty sure it’s A
An electricity company estimates that Daryl will spend £600 on electricity next year.
An administration charge of 15% is added.
Daryl wants to pay in four equal instalments throughout the year,
How much should each payment be?
Answer:
Each payment should be £172.5
Step-by-step explanation:
Cost of electricity for next year = £600
Administration charge = 15%
Daryl wants to pay in four equal instalments throughout the year,
How much should each payment be?
First we need to find the total cost of bill by adding 15% of administration charge by finding 15% of 600
[tex]15\% \:of\: 600\\=\frac{15}{100}\times 600\\= 90[/tex]
So, 15% of 600 is 90
Now adding 90 into the electricity cost:
600+90
= 690
Now, the total cost of electricity bill is £690
Daryl wants to pay in four equal instalments.
So, divide 690 by 4
Each payment for instalments is: [tex]\frac{690}{4} = 172.5[/tex]
So, Each payment should be £172.5
A cheetah can run a rare of 105,600 years per hour find the number of miles the cheetah could run at this rate in 5 minutes.
Answer:
360 yards per 5 minutes.
Step-by-step explanation:
A cheetah can ride up to 105,600 yards per hour.
An hour is equal to 60 km.
It can run up to 'x' miles per 5minutes.
So, 360 x 5/ 5
= 1800/5
= 360 yards per 5 minutes.
HOPE THIS HELPS !!
Greg and Kevin both travel between two towns that are 90 miles apart. Greg travels and it takes him 1 hour 30 minutes. Kevin cycles and it takes him 7 hours 30 minutes. Work out the difference between the average speed.
Answer:
48 miles/hour
Step-by-step explanation:
The average speed is the ratio of the total distance traveled to the total time taven, it i given by the formula:
Average speed = total distance / total time
For Greg, the total distance = 90 miles and the total time = 1 hour 30 minutes = 1 hour + (30/60) hour = 1.5 hours. Hence:
Average speed = 90 / 1.5 = 60 miles/hour
For Kevin, the total distance = 90 miles and the total time = 7 hour 30 minutes = 7 hour + (30/60) hour = 7.5 hours. Hence:
Average speed = 90 / 7.5 = 12 miles/hour
Difference between the average speed = 60 miles/hour - 12 miles per hour = 48 miles/hour
what is the equation that passes through the point (3,-6) and has a slope of 3/4?
Answer:
lol
Step-by-step explanation:
Some oone idea about this ??
A bag of 12 apples is most likely to weight
Answer:2.5kg
Step-by-step explanation:
Jessica gets paid for doing chores around her house. She earns $2 for each easy chores she completes and $5 for each hard chore. Last week she completed 8 chores total and earned $31. How many easy chores did she complete and how many hard chores did she complete?
Answer:
13 ez 1 hard
Step-by-step explanation
13-26
1-5
26 + 5 = 31
Answer:
she did 5 hard chores and 3 easy chores
Step-by-step explanation:
5+5+5+5=20
20+2+2+2+5=31
Which of the following is NOT money?
a) Checking account
b) credit card
c) debit card
Answer:
A: Checking account
Step-by-step explanation:
While credit cards and debit cards supply your money in transactions, a Checking account simply holds it.
Line 1 y= -5/2x
Line 2 y= -5/2x +8
Which statement about the graph of the line is true
Answer:
They have the same slope
Step-by-step explanation:
Given
[tex]y = -\frac{5}{2}x[/tex]
[tex]y = -\frac{5}{2}x + 8[/tex]
Required
Determine the true statement about both lines
An equation has a general format of:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparing this to the equations of both lines, we have that:
For line 1:
[tex]m = -\frac{5}{2}[/tex]
For line 2:
[tex]m = -\frac{5}{2}[/tex]
Compare the slopes of both lines, we have that:
[tex]m = m = -\frac{5}{2}[/tex]
Hence, we can conclude that both lines have the same slope
1000:150:600 simplified
Answer:
20:3:12
Step-by-step explanation:
1000:150:600
divide all the numbers by 50= 1000÷50 : 150÷50 : 600÷50
= 20:3:12
can you do this please
Answer:
x = 24
Step-by-step explanation:
ABCD is a parallelogram.
Angle B and Angle C are adjacent (successive) angles.
Adjacent angles of a parallelogram are supplementary.
Therefore,
[tex](5x) \degree + (2x + 12) \degree = 180 \degree \\ \\ (5x + 2x + 12) \degree = 180 \degree \\ \\ (7x+ 12) \degree = 180 \degree \\ \\7x+ 12 = 180 \\ \\7x = 180 - 12 \\ \\ 7x = 168 \\ \\ x = \frac{168}{7} \\ \\ x = 24[/tex]
[tex]\boxed{\pink{\sf\leadsto Value \ of \ x \ is \ 24^{\circ}}}[/tex]
[tex]\boxed{\pink{\sf\leadsto Value \ of \ \angle C \ is \ 60^{\circ}}}[/tex]
[tex]\boxed{\pink{\sf\leadsto Value \ of \ \angle D \ is \ 120^{\circ}}}[/tex]
Step-by-step explanation:A parallelogram is given to us . in which m ∠ B = 5x and m ∠C = 2x + 12 ° . And we need to find x .
Figure :-
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\thicklines\put(0,0){\line(1,0){5}} \put(5,0){\line(1,2){2}}\put(7,4){\line( - 1,0){5}}\put(2,4){\line( - 1, - 2){2}}\put(0,-0.4){$\bf A$}\put(5,-0.4){$\bf b$}\put(6.5,4.3){$\bf c$}\put(2,4.3){$\bf d$}\qbezier(4.4,0)( 4.5, 0.8)(5.22,0.54)\put(4,0.4){$\bf 5x$}\put(4.7,3.3){$\bf 2x + 12$}\end{picture}[/tex]
Q. no. 1 ) Find the value of x.
Here we can clearly see that ∠DCB and ∠ABC are co - interior angles . And we know that the sum of co interior angles is 180° .
[tex]\tt:\implies \angle DCB + \angle ABC = 180^{\circ} \\\\\tt:\implies (2x + 12)^{\circ} + 5x^{\circ}=180^{\circ} \\\\\tt:\implies 7x = (180 - 12 )^{\circ} \\\\\tt:\implies 7x = 168^{\circ} \\\\\tt:\implies x =\dfrac{168^{\circ}}{7} \\\\\underline{\boxed{\red{\tt\longmapsto x = 24^{\circ}}}}[/tex]
Hence the value of x is 24° .[tex]\rule{200}2[/tex]
Q. no. 2 ) Determine the measure of < C .
Here we can see that <C = 2x + 12 ° . So ,
[tex]\tt:\implies \angle C = 2x + 12^{\circ} \\\\\tt:\implies \angle C = 2\times 24^{\circ} + 12^{\circ} \\\\\tt:\implies \angle C = 48^{\circ} + 12^{\circ} \\\\\underline{\boxed{\red{\tt\longmapsto \angle C = 60^{\circ}}}}[/tex]
Hence the value of <C is 60° .[tex]\rule{200}2[/tex]
Q. no. 3 ) Determine the measure of < D .How you determined the answer .
Here we can clearly see that ∠D and ∠C are co - interior angles . And we know that the sum of co interior angles is 180° .
[tex]\tt:\implies \angle C + \angle D = 180^{\circ} \\\\\tt:\implies 60^{\circ} + \angle D = 180^{\circ}\\\\\tt:\implies \angle D = 180^{\circ} - 60^{\circ} \\\\\underline{\boxed{\red{\tt\longmapsto \angle D = 120^{\circ}}}}[/tex]
Hence the value of <D is 120° .N = {X:X
is an odd number, 21<x<3
XEN]
Find the value of x.
3x +7
D
2x + 7
3x 16
Answer:
sum of interior angle of a triangle is 180 degree
so,
3x +7 + 2x+7 +3x+6 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/ 8
x = 20
May it will help you
Answer:
x = 20
Step-by-step explanation:
According to angle sum property of a triangle , sum of all the angles in a triangle is equal to 180°.
So,
[tex](3x + 7) + (2x + 7) + (3x + 6) = 180[/tex]
[tex] = > 8x + 20 = 180[/tex]
[tex] = > 8x = 180 - 20 = 160[/tex]
[tex] = > x = \frac{160}{8} = 20[/tex]
Please help!!!!
Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar. Tom used 13% of the total sugar in the can. Lisa used 0.6 pounds of the total sugar in the can. Jane used 0.12 of the total sugar in the can. Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.
Answer:
13 x 4
100
= 0.52 so tom used the most
Step-by-step explanation:
Sandy went to 20 baseball games this year. She went to 26 last year. How many baseball games did Sandy go to in total?
complex fraction
I need to evaluate it, but I can't figure it out for the life of me.
(the middle slash is the complex part)
1/3 + 3/4 / 2/3 - 1/4
Answer:2 3/5
Step-by-step explaination:
Mrs. Afonso is competing in a race in which she both runs and rides a bike. She runs 5 kilometers in 0.5 hours and rides her bike 20 kilometers in 0.8 hours. At the rate given, how many kilometers can she run in one hour?
Answer:
Step-by-step explanation:
If Mrs. Alfonso runs 5 km in 0.5 hours,
she will run 10 km in an hour
100 points please help
Answer:
d
Step-by-step explanation:
it is not the right graph
Answer:
THe answer is the 4th one/the graphed picture
Step-by-step explanation:
The reason is because the fourth picture is not correctly graphed