Answer:
The answer is A
Step-by-step explanation:
While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.
Answer: (2,4) They bought 2 sodas and 4 coffees.
Step-by-step explanation:
A. c + s=6 where c is the number of coffee and s is the number of sodas
B. 1.50c + 1.20s =8.40
C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c
New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2
-150 + 1.20s = 8.40
So we know they bought 2 sodas. so we will plot 2 into the equation.
1.50c + 1.20(2)=8.40 c= 4
What is the solution of this equation?
-1y = -4
Answer:
y = 4
Step-by-step explanation:
-1y = -4
Divide both sides by -1 to get y by itself.
-1/-1 = -4/-1
y = 4
It's positive because there are two negatives, which mean they cancel out.
what is the answer of 24a-18b
Answer:
6(4a−3b)
Step-by-step explanation:
You have to factor out this expression, so i would recommend the UMBRELLA method.
Answer:
6(4a-3b)
Step-by-step explanation:
This is the answer because
find what number is divisible by both 24 and 18. The answer there is 6So then you write an equation that would equal 24a-18bTherefore since 24a is part one of the equation you would do what times 6 equals 24a. 6 times 4a=24aSo place four a in the parenthesis. Then find out what times 6 = -18bThe answer to that is -3b because a negative times a positive is always positive. So your final answer is 6(4a-3b)What is the volume of this solid?
A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches.
Recall the formula V = Bh.
280 cubic inches
385 cubic inches
465 cubic inches
560 cubic inches
Answer:
the answer: 280ci
Step-by-step explanation:
:] [:
Answer:
280
Step-by-step explanation:
What’s the simplified principal square root of -36
Answer:
6
Step-by-step explanation:
because 36 is a perfect square root.
A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?
Answer:
Step-by-step explanation:
d = diameter = 12ft
r = d/2 = 12/2 = 6ft
Slant height = 13ft
Surface area of cone = π r 2 + π L r
Where L is the slant height of the cone π = 22/7
SA = 22/7×6×6+22/7×13×6
SA = 113.14+245.142
SA = 358.28ft^2
If one bundle of shingle covers 32 ft.²
Hence,358.28ft^2 = 358.28ft^2/32 ft.²
= 11.196
= 11.2 bundles
if butter the dog jumps two times and falls one time then how many times has he jumped?
Answer:1 or 3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Help with math HW please:
A painted water tower is shown. What percent of the surface area of the water tower (not including the surface underneath the tower) is green? Round your answer to the nearest tenth of a percent.
Step-by-step explanation:
The said tower is not shown.
But to find the percentage of the surface area that is green, since this excludes the surface area underneath the tower, we find the surface area of the total area subtract the surface area underneath the tower, calculate the surface area that is green, divide this last result by the surface are of the whole area that doesn't include underneath the tower, and multiply by 100. This is the percentage we are looking for.
x2 +8x+16=0 in factoring algorithm
Answer:
(x+4)^2 =0
Step-by-step explanation:
x2 +8x+16=0
What 2 numbers multiply to 16 and add to 8
4*4 = 16
4+4 =8
(x+4) (x+4) =0
(x+4)^2 =0
HELP ASAP PLEASE! EVERY ANSWER IS APPRECIATED! THANK YOU!
Answer:
74°
Step-by-step explanation:
The blue angle and the red angle are supplementary angles (meaning they add up to 180°) because these two lines are parallel. Therefore, 106° + ? = 180°, and the red angle is 74°. Hope this helps!
Answer:
71° will be your answer
Factor the expression below.
16x2 - 1
Answer:
(4x+1)(4x-1)
Step-by-step explanation:
The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.
Answer:
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9
in slope intercept form y = mx + b, b is the y-intercept
since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units
---
Hope this helps! :) If so, please mark my answer as brainliest
Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.
Given,[tex]f(x)=x^{2}[/tex].
[tex]g(x) = f(x) - 9.[/tex]
From the above functions it is clear that the equation for the graph of g(x) will be,
[tex]g(x)=x^{2} -9[/tex].
What is intercept?The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
Since The y intercept of function f(x) is zero.
Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.
For more details on y-intercept follow the link:
https://brainly.com/question/329422
Factor the expression:
16y-8
Answer: 8 (2y-1)
Step-by-step explanation: first start by writing like this below:
16y-8
Then factorise the numbers(cut the numbers)
2×2×2×2×y - 2×2×2
Now take all which is common like:
2×2×2=8
Then,take the remained numbers and add it into the brackets.
8 (2y - 1) Here, why we should put 1,because there's nothing left.
If you want to check the answer, factorise this expression and see:
8 (2y-1)
16y-8.
Hope it helps you!!
What are the domain and points of discontinuity of y= x-4/x^2+8x-20? What are the x and y intercepts?
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.
x-intercept(s): (2.30581496,0)
y-intercept(s): None
1. f(x)=0.5x-1.5x +1I 4x<-1-1sx53 x>3
Answer:
sorry dont know
Step-by-step explanation:
good luck tho
\
f(x) = 0.5x-1.5x+1
4x<-1
-1 ≤ x ≤ 3
x < 3
Trigonometry!! Please Help picture attached
Answer:
[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]
[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]
[tex]\tan B=\dfrac{3}{7}[/tex]
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!
Caitie currently earns $15.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 10% raise. Caitie thinks that this means she will earn about $25.00 an hour. Is Caitie's estimate reasonable?
Answer:
No, she will earn 16.50/hr after the raise
Step-by-step explanation:
Catie's raise will be 15*0.10, which is $1.50
Caitie currently earns $15.00 an hour at her job, her boss is going to give her a 10% raise. she will earn 16.50/hr.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Caitie currently earns $15.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 10% raise. Caitie thinks that this means she will earn about $25.00 an hour.
10% of 15
= 15 × 0.10
= $1.50
The total amount will be = 15 + 1.50
= 16.50
Learn more about percentages;
https://brainly.com/question/13450942
what is the measure of x?
Answer:it might be 46 if right please mark as brainliest
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
90 + x = 134 (exterior angle)
=> x = 134 - 90 = 44
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No
Answer:
Yes
Step-by-step explanation:
The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.
For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.
In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.
When 8=8 is it infinite solutions, no solutions
Answer:
infinite
Step-by-step explanation:
no solution would be something like 8=4 because it is not true
Answer:
Infinite solutions
Step-by-step explanation:
2D+8=24
My question how do I solve for d
Answer:
2 x 8 = 16
2x8+8 = 24
Step-by-step explanation:
More than one quarter of The Netherlands lies below sea level. Lucas visits a museum located at an elevation of 7 m and bicycles to the neighborhood of Purmerend which has an elevation of -16 m. Which integer represents his change in elevation for the trip.
0 m
-23 m
-9 m
9 m
Kyle had 1/3 of a large pizza left. He wants to split it with his
best friend.
How much pizza will each get?
Which of the following values are solutions to the inequality 1+5x<4?
I.6
II.5
III.2
Answer:
x < .6
Step-by-step explanation:
1+5x<4
Subtract 1 from each side
1-1+5x<4-1
5x<3
Divide each side by 5
5x/5 <3/5
x < .6
How can individual attitudes and lack of response to injustice harm society as a whole? (this was meant to be in history)
Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.
A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft
Answer:
2 1/3 ft^2
Step-by-step explanation:
Take the area of the rectangle
A = l *w
4 * 1 1/6
4 * 7/6
28/6
Divide this in half since the rectangle is cut in half by using the diagonal
28/6 *1/2
28/12
7/3
Changing to a mixed number
2 1/3
what is x if x/5 =-9
Answer:
x = -45
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:
(x/5) * 5 = (-9) * 5
x = -9 * 5
x = -45
x = -45 is your answer.
~
Steps to solve:
x/5 = -9
~Multiply 5 to both sides
x/5 * 5 = -9 * 5
~Simplify
x = -45
Best of Luck!
How many fourths are in 2 1/2?
Answer:
There are 10 fourths.
Step-by-step explanation:
There are four 1/4ths in 1. So 2.5 x 4 = 10.
Answer:
2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)
Step-by step solution
someone help? 25 points
Answer:
A- isosceles
B- equilateral
C- scalene
Answer:
Triangle A
Isosceles
Triangle B
Equilateral
Triangle C
Scalene
Hope this helped
Given the domain {-2,1,5} what is the range for relation 4x+y=3
Answer:
(-2,11) (1,-1) (5,-17)
Step-by-step explanation:
the range of this relation is 11,-1,-17
