Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Please show work and explain
Solution: (20,10) Tommy bought 20 apples and 10 oranges.
Step-by-step explanation:
x+y=30: y=30-x
3x+4y=100
3x+4(30-x)=100
3x+120-4x=100
-1x +120=100
-120 -120
-1x=-20
/-1 -1
x= 20
20+y= 30
-20 -20
y=10
20+10=30
You solve this equation using substitution
Is 1.6 or 1.25 bigger
What expression represents the decimal 72.603
Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this question on the test
i need a good grade please
Answer:
A is not correct
Step-by-step explanation:
angle GHK is a vertical angle but Jhi is not
Multiply. Answer with a mixed number in simplest form.
5 x 2 1/4
Answer:
The correct answer should be 11[tex]\frac{1\\}{4}[/tex]
Step-by-step explanation:
Let me know if this is wrong and I will correct it if it is.
Find the volume of the solid. *
7)
Answer:
B
Step-by-step explanation:
The volume (V) is calculated as
V = area of triangular face × depth
Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 3 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 Km²
Now depth = 2, thus
V = 6 × 2 = 12 Km³ → B
Solve the following equation for x. x = -2 x = 2 x = -17 x = -7 (x - 5)/2 = -6
Step-by-step explanation:
x= -2,
(x - 5) / 2= -6
( (-2) - 5) / 2= -6
(-7) / 2 = -6
-3.5 = - 6
right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.
x=2,
(x - 5) / 2= -6
(2 - 5) / 2= -6
(-3) / 2= -6
-1.5 = - 6
right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.
x= -17
(x - 5) / 2= -6
( ( -17) - 5) / 2= -6
(- 22) / 2= -6
-11 = -6
right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.
x= -7,
(x - 5) / 2= -6
( ( -7) -5) / 2= -6
(-12) / 2= -6
-6= -6
right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.
Ms. Hogan paid $13.25 for 5 tacos and 1 soda. The price of a taco is $2.50. What is the price of the soda?
Answer: $0.75
Step-by-step explanation:
To solve this problem, we can create 2 equations. Let's use x for tacos and y for soda.
Equation 1: 5x+y=13.25
Equation 2: x=2.5
Since we know the value of x, we can plug it into Equation 1 to solve for y.
5(2.5)+y=13.25 [multiply]
12.5+y=13.25 [subtract both sides by 12.5]
y=0.75
Now, we know the price of the soda is $0.75.
Answer:
The soda costs $0.75.
Step-by-step explanation:
We are given that Ms. Hogan paid $13.25 for 5 tacos and one soda. We are also given that one taco costs $2.50. Therefore, we can set up a system of equations to solve for how much a soda costs.
[tex]\displaystyle\left \{ {{5x + y = \$13.25} \atop {x = 2.50}} \right.[/tex]
This is our required system of equations. We are given that one taco costs $2.50, so this is our x. Therefore, the price of one soda is y.
We can use the second equation and substitute it in place of the x in the first equation to solve for the price of the soda.
[tex]\displaystyle5x+y=\$13.25\\\\5(2.50)+y=\$13.25\\\\12.5 + y = \$13.25\\\\y = \$0.75[/tex]
Therefore, one soda costs $0.75.
BRAINLIEST AND 100 POINTS BRAINLIEST TO THE FIRST CORRECT ANSWER!
-4x6/7x-5/3 put your answer in simpliest form
Answer:
5 5/7
Step-by-step explanation:
-4*6/7*-5/3
We can multiply the numerators
-4 * 6*-5 = 120
We can multiply the denominators
7*3 =21
Put the numerator over the denominator
120/21
The top and bottom are both divisible by 3
120/3 = 40
21/3 =7
The new improper fraction is 40 /7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive?
Answer:
$4.94
Step-by-step explanation:
To find out the change from $20, we need to find her total cost.
Total cost = 2.25lbs * $4.96/lb + 0.75lbs * $5.20/lb
Total cost = $11.16 + $3.90 = $15.06
Now $20 - total cost = $20 - $15.06 = $4.94
8(4y - 3) + 2(y - 5)
Answer:
34y-34
Step-by-step explanation:
Expand:
32y-24+2y-10
=34y-34
Answer:
34y-34 or 34(y-1) whichever is better for you specifically
Step-by-step explanation:
distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)
I WILL MARK BRAINIEST
please answer the question it shows what I got wrong so don’t choose that one
Answer:
e. the triangles are congruent
Step-by-step explanation:
Similar means they're alike but are not the same, congruent means they're the same. The triangles are the same so therefore they're congruent.
Also it's congruent because u see the triangles on the bottom and top line? It means that the lines are parallel. So the lines at the side have to be the same length and tilt in an equal way so the top and bottom lines can be parallel
Guys plz help me answer this!!!
Answer:
f=7
Step-by-step explanation:
1. distribute 4 too .5 and .25
2. subtract the f from each side
3.combine like terms
this leaves you with f=6+1 which is 7
need help if you can....
Answer:
40, 80, 120
Step-by-step explanation:
0, 40, 80, 120, 160, 200
+40
Answer:
0, 40, 80, 120, 160, 200
Step-by-step explanation:
The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.
160-40=120
120-40=80
80-40=40
Now, plug the numbers into the sequence. It should now look like this:
0, 40, 80, 120, 160, 200
I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)
"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.
Answer:
Awnser is C
Step-by-step explanation:
We just have to make the top bar seem bigger then it actually is
witch is grater 18/24 or 55%
Answer:
i would say 18/24
Step-by-step explanation:
Kari makes headbands as gifts for her friends. In the past year, she has made 5 printed headbands for every 4 solid-colored headbands.
If Kari has made 20 solid-colored headbands in the past year, how many headbands has she made in all?
Answer:
45 headband
Step-by-step explanation:
20:25, so add 20+25 and get 45
Use long division to find the quotient below.
(15x2 + 2x2 - 75) - (3x-5)
O A. 5x2 - 9x + 15
B. 5x2 + 9x + 15
C. 5x2 + 12x + 15
D. 5x2 - 12x + 15
The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.
Answer:
849.7m2
Step-by-step explanation:
L= length
SA = surface area
volume = L x L x L
1700= L x L x L
find cube root
=11.93m
round off to 1 dp
=11.9m
SA= 6( L x L)
= 6( 11.9 x 11.9)
=6(141.61)
=849.66m2
round off to 1 dp
=849.7m2
-5x + y = -3 and –x - 5y = - 11 by substitution
Answer:
x = 1, y = 2
Step-by-step explanation:
-5x + y = -3, we get y = 5x - 3.
Then plugs into the second equation, we get
-x - 5 (5x-3) = -11.
-x - 25x + 15 = -11,
-26x = -26
x = 1,
plugs x = 1 to y = 5x - 3, we get y = 2.
Answer:
Required Answer:--5x+y=-3---------------(1)-x-5y=-11----------------(2)From eq (1)
[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]
Substitute the value in eq (2)[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]
[tex]\therefore[/tex](x,y)=(1,2)
FIRST CORRECT ANSWER WILL GET BRAINLIEST
Write the equation in slope-intercept form for the line that has the given slope 5 and y intercept -6
A)y = -6x + 5
B)y + 6x = 5
C)y = -5x + 6
D)y = 5x - 6
Answer:
D
Step-by-step explanation:
D)y = 5x - 6
y=mx+b
where m = slope and b=y-intercept
Hope I helped!
~PumpkinSpice1
27 : 18 = 13 : x find x
Answer: 27:18 and 13:x can also be written as 27/18 and 13/x
therefore, 27:18 = 13:x
27/18 = 13/x
27/18 *13= x
x = 19.5
Hope it helped u,
pls mark as the brainliest
and put thanks
^_^
please tell me the answer
Answer:
-3, 1, 5
Step-by-step explanation:
solve the equation
pls help me
How do I solve this equation and check the solutions?
[tex]x = - 10 \\ [/tex]
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \sqrt{20 - 8x} = \times [/tex]
[tex]20 - 8x = {x}^{2} [/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex]x = - 10[/tex]
[tex]x = 2[/tex]
2x+7=19 solving two-step equations
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify
Answer:
6
Step-by-step explanation:
First what you do is you subtract 7 from both sides to get 2x by itself.
2x + 7 - 7 = 19 - 7
2x = 12
Then you divide 2 from both sides to get x by itself.
2x/2 = 12/2
x = 6
Your answer is then x = 6.
(2x+y,x+3y)=(12,11)
Answer:
x=5, y=2
Step-by-step explanation:
Use the information given:
2x+y=12x+3y=11Subtract them because we have two variables and two equations:
2x+y=12
- x+3y=11
–––––––––
x-2y=1
We can by 1+2y (Add 2y to both sides) instead of x:
2(1+2y)+y=122+4y+y=122+5y=125y=10y=2(1+2y)+3y=111+2y+3y=111+5y=115y=10y=2Now we can figure out x as we know y:
2x+1(2)=122x+2=122x=10x=5x+3(2)=11x+6=11x=5May someone please help me with this problem:
Answer:
Surface Area : Volume
22:5
Step-by-step explanation:
Surface area = 22
Volume = 5
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Eva bought 9 hanging baskets and 9 Petunias for her flower garden. Each hanging basket cost $5.48 and each Petunia cost $18.50. Eva has $250 to spend on items for her garden. How much money will Eva have left after her purchases?
Answer: Eva has left $ 34.18 after her purchases .
Step-by-step explanation:
Given: Each hanging basket cost $5.48
Cost of 9 hanging basket = 9 x $5.48 = $ 49.32
Each Petunia cost $18.50.
Cost of 9 Petunias = 9 x $18.50
= $ 166.5
Eva has $250 to spend on items for her garden.
Money left = $(250 -(49.32+166.5))
= $ (250 -215.82)
= $ 34.18
Hence, Eva has left $ 34.18 after her purchases .
Solve the equation -4/x - 1 = 7/2 - x + 3/x + 1
Answer:
x=6.566084 or x=−1.066084
Step-by-step explanation:
Let's solve your equation step-by-step.
−4
x
−1=
7
2
−x+
3
x
+1
−4
x
+−1=
7
2
+−x+
3
x
+1
Multiply all terms by x and cancel:
−4+−1x=
7x
2
+(−x)(x)+3+1x
−x−4=−x2+
9
2
x+3(Simplify both sides of the equation)
−x−4−(−x2+
9
2
x+3)=−x2+
9
2
x+3−(−x2+
9
2
x+3)(Subtract -x^2+9/2x+3 from both sides)
x2+
−11
2
x−7=0
For this equation: a=1, b=-5.5, c=-7
1x2+−5.5x+−7=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-5.5, c=-7)
x=
−(−5.5)±√(−5.5)2−4(1)(−7)
2(1)
x=
5.5±√58.25
2
x=6.566084380618436,−1.0660843806184368
Check answers. (Plug them in to make sure they work.)
x=6.566084(Works in original equation)
x=−1.066084(Works in original equation)
Answer:
x=6.566084 or x=−1.066084