2.25
per hot dog
1.19
per bag o' chips
Explanation:
5x +3y = 14.82
7 x+6y = 22.89
− 10x−6y = −29.64
7 x+6y = 22.89
−3x = −6.75
x=2.25
5⋅2.25+3y = 14.82
3y = 14.82 − 11.25
y = 3.57 /3 = 1.19
The cost of each hot dog and bag of chips is $2.22 and $1.24
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, At a baseball game Henry bought 5 hot dogs and three bags of chips for $14.82. Scoot bought 7 hot dogs and 6 nags of chip for $22.98.
Let the unit prices of hot dogs and chips be h and c respectively,
Therefore, establishing the equations,
5h + 3c = 14.82...(i)
7h + 6c = 22.98....(ii)
Multiply eq(i) by 2 and subtract eq(ii) by eq(i)
(10h + 6c = 29.64) - (7h + 6c = 22.98)
3h = 6.66
h =2.22
Put h = 2.22 in eq (i)
5(2.22) + 3c = 14.82
11.1 + 3c = 14.82
3c = 3.72
c = 1.24
Hence, the cost of each hot dog and bag of chips is $2.22 and $1.24
Learn more about system of equations, click;
https://brainly.com/question/12895249
#SPJ2
PLEASE HELP
Select the mean, median, mode and range of the following list of values.
Answer:
The median is three, the mean is 3.5, the range is 6 and there is no mode.
Step-by-step explanation:
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
Pls help! I need answer.
Answer:
b = 98
Step-by-step explanation:
hope this helps . thanks
Solve for the given time.
A colony of 36,000 bacteria grows continuously at a rate of 12%. How many bacteria will there be in 2 years?
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.
1.12 power of 2 = 45158.4 bacteria.
And you cant have part of a bacteria
you round it to
45158.
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many times greater is the population of Illinois in the population of Alaska
Answer:
20 times greater
Step-by-step explanation:
Given the following
Population of alaska = 6.5 * 10^(5) people
Population of illinois's = 1.3 * 10^(7)people.
To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;
Ratio = Population of illinois's /Population of alaska
Ratio = 1.3 * 10^(7)/6.5 * 10^(5)
Ratio = 0.2 * 10^7-5
Ratio = 0.2 * 10^2
Ratio = 20
Hence the population of Illinois is 20 times greater than population of alaska
PLEASE HELP!! THIS IS REALLY SERIOUS!!
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
plz answer this question
The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here
Plzz help ..........
Answer:
AB and CD - Parallel Lines
EF and CD - Perpendicular Lines
GH and EF - Neither Parallel nor Perpendicular Lines
Let me know if this helps!
Answer:
EF and CD ------- perpendicular lines
AB and CD --------parallel Lines
GH and EF --------- neither parallel nor perpendicular lines
Step-by-step explanation:
Parallel lines are lines that do not ever intersect
Perpendicular lines create 90 degree angles
neither is just neither
Which expression is represented on this number line?
Answer:
where's the number line??
Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?
Answer:
$825869.52
Step-by-step explanation:
Given that,
Width of the rectangle, b = 42 ft
Length of the rectangle, l = 25.5 ft
The area of a rectangle is given by :
A = lb
So,
A = 42 ft × 25.5 ft
A = 1071 ft²
The total cost of the wallpaper was $771.12 . So,
Cost = 1071 × 771.12
= $825869.52
So, the cost of wallpaper per square foot is equal to $825869.52.
11. Which expression is equivalent to the expression shown below?
-2x + 5(3 + 2x)
a. 8x + 15
b. 53 + 4x
C. 4x + 15
d. 8 + 5x
Tylan sent 3809 text messages in January. In February he sent 3115.
Answer:
Ummmm what’s the question?
Step-by-step explanation:
I will edit after you tell me what your question is.
Btw God bless you.have a great day!
Step-by-step explanation:
if you're asking how many text messages he sent in those two months then he sent 6924 messages.
Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
level. Which fish is closest to sea level? *
A: Bubbles?
B: Swimmy?
worth 25 points pls help me
Answer:
swimmy is closest to sea level
help asap schools almost done pls help me
Answer:
exit ticket
1.) 6+8x
2.) 18+6x^5
homework module 4 lesson 6
1.) 78
2.) 61
3.) 24
Step-by-step explanation:
I need help with please and thank you can yall help me with a thing
Answer:
2 will give you the larger value of 17
Step-by-step explanation:
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07
PLEASE ANSWER CORRECTLY and show your work! I will give brainliest!
Answer: The new co-ordinates of A ( 2 ,-6)
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x,y)→(x , y+d)
Vertical translation down 'd' units (x,y)→(x , y-d)
Horizontal translation right 'c' units (x,y)→(x+c , y)
Horizontal translation left 'c' units (x,y)→(x-c , y)
Reflection over x-axis (x,y) →(x , -y)
Reflection over y-axis (x,y) →(-x , y)
Given the original vertex A ( -2 ,3)
a) First reflection over x-axis ( -2 ,3) →(-2 , -3)
b) Vertical translation down '3' units so it changes (-2 , -3)→(-2 , -3-3)
(-2,-3)→(-2 ,-6)
and
c) The Horizontal translation right '4' units
now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)
Final answer:-
The new co-ordinates of A ( 2 ,-6)
17) HELP I have the answer I just need to show the work
Which trig ratio or formula should you use to find “c”?
Answer: B
Don’t give me the answer I already know it just show the work pls
Here
cos25°=BC/AB=8/c
c=8/cos25°
so cos function is helpful here
really a dum.beannie
Answer:
b) cos25
c = 7.248 or 7.2
Step-by-step explanation:
Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]
Cos 25 = [tex]\frac{8}{c}[/tex]
Cos of 25 is 0.906
0.906 = [tex]\frac{8}{c}[/tex]
Multiply 8 on both sides:
0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8
7.248 = c
The function f ( x ) = 2 x ^2 − x − 4 models the shape of a ditch. What is the average slope over the interval −4 ≤ x ≤ 2?
Answer:
[tex]Rate = -5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]-4 \le x \le 2[/tex]
Required
Determine the average slope over the given interval
This is calculated as:
[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a = -4[/tex]
[tex]b =2[/tex]
So:
[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
Solving for f(2) and f(-4), we have:
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]f(2) = 2 *2^2 -2 - 4[/tex]
[tex]f(2) = 2[/tex]
[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]
[tex]f(-4) = 2*16 +4 - 4[/tex]
[tex]f(-4) = 32[/tex]
So, the equation becomes
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
[tex]Rate= \frac{2 - 32}{6}[/tex]
[tex]Rate= \frac{-30}{6}[/tex]
[tex]Rate = -5[/tex]
In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
Please help this is due soon!!! :( Please explain with explanation and answer pls
Answer for A:
x = -56/31
Step-by-step explanation:
The total angle for a pentagon is 360°
100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360
100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360
If you copy that into a calculator you will get
360°
Answer for B:
The angle for C, rounded to the nearest tenth, is 44.9°
round 87.48 to the underlined place.
13. Find the measures of the numbered angles.
Answer:
8=117 7=63 9=63
Step-by-step explanation:
180-117 = 63
7 and 9 = 63
A straight line=180
Angles across from each other are the same
9 and 7 are the same, and 117 degrees and 8 are the same
Math- Lisa is buying a cover for her patio table. If the table is 5 ft on all sides, what is the area of the cover?
Answer:
25
Step-by-step explanation:
length times width
5 times 5
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsWhile waiting for a video game to download, you notice that
30
%
30%30, percent of
32
,
000
32,00032, comma, 000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?