Answer:
3825
Step-by-step explanation:
How many solutions does the system of linear equations represented in the graph below have?
A
No Solution
B
One Solution
C
Infinitely many solutions
D
None of the above
Answer:
No solution
Step-by-step explanation:
They must intersect to have one solution. For infinite many solutions, the lines would be on top of each other.
Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcake she sells. A) Write and equation that can be used to solve for the total amount, t, Ella earns for working a shift in the park and selling c cupcakes. Ella works a shift and earns $38. B. Use the equation you wrote for part A to solve for the number of cupcakes Ella sold during her shift. Show your work. In the summer, the average number of cupcakes sold during a weekday shift is 36 and the average number of cupcakes sold during a weekend shift is 62. Ella has been given the choice to work a regular schedule of 3 weekday shifts each week or 2 weekend shifts each week. C. Explain which schedule will allow Ella to earn $300 more quickly. Support your answer with mathematical evidence, and state which shift Ella should choose.
9514 1404 393
Answer:
A) t = 0.25c +25
B) c = 52
C) 3 weekday shifts
Step-by-step explanation:
A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...
0.25c
In addition, she is paid $25, so her total amount she is paid is ...
t = 0.25c +25
__
B. In order to earn $38, the number of cupcakes sold must be ...
38 = 0.25c +25
13 = 0.25c . . . . . . subtract 25
52 = c . . . . . . . . . multiply by 4
Ella sold 52 cupcakes to earn $38.
__
C. On one of the average weekdays, Ella could be expected to earn ...
t = 0.25(36) +25 = 34
Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)
On one of the average weekend shifts, Ella could be expected to earn ...
t = 0.25(62) +25 = 40.50
Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)
Ella would earn $300 more quickly by working weekday shifts.
The perimeter of a rectangle is 58. The length is 4 more than
4 times the width. Find the width and length.
Answer:
Step-by-step explanation:
Please help me ASAP Please
Answer:
31x=217 x=7
Step-by-step explanation:
begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day
Somebody please help!!!
I believe it's 2/3
Hope that helps
Cooper weights 20 pounds. When he is an adult dog, he will weigh about 315% of his current weight. Write 315% as a fraction and a decimal.
Answer:
3.15 and 3 3/20
Step-by-step explanation:
315 ÷ 100 = 3.15
3.15 = 3 3/20
Please mark me brainlest
the marked price of an article is 35% more than that of cost price.If the article is sold allowing 15% discount,profit becimes Rs.200.Find the MP and Cp of the article.
Answer:
B
Step-by-step explanation:
Simplify (10^-2/
10^3)^-1
0 -100,000
1
10
1
1
10
100,000
DONE
Answer:
huh?
Step-by-step explanation:
Answer:
the answer is D. 100,000.
Step-by-step explanation:
I'm a very big brain specimen.
Mary takes out a loan for $ 5 , 000 at a simple interest rate of 3.5 % to be paid back in 36 monthly installments. What is the amount of her monthly payments?
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answer: 47.5 ft
Step-by-step explanation:
since this is a right triangle, you can use trig to solve for x:
cos 22° = [tex]\frac{44}{x}[/tex] (cos = adjacent/hypotenuse)
x * cos 22° = 44
x = [tex]\frac{44}{cos 22}[/tex] (plug into calc)
x = 47.5 ft
Prove algebraically what type of function this is (even, odd, or neither). f(x) = −2x^4 − 12x^2
Show work Please
Answer:
Even
Step-by-step explanation:
[tex]f[/tex] is even because [tex]f(x)=f(-x)[/tex].
The diameter of a circle is 4 m. Find the circumference to the nearest tenth.
Answer :
[tex] \bf \large 10 \: m[/tex]
Step by step explanation :
Given that :The diameter of a circle is 4 m.to find :Find the circumference to the nearest tenth.formulas used :circumference = π × Diameterwhere,
π = 22/7Diameter = 4 mexplanation :⟼ c = πd
⟼ c = 22/7 × 4 m
⟼ c = 88/7 m
⟼ c = 12•57 m.
Round to the nearest tenth :⟼ c = 12•57 m
⟼ c = 10 m.
∴ circle circumference is 10 m.
Is figure B a scale copy of Figure A ?? Yes Or No
Answer:
No
Step-by-step explanation:
Figure A has an horizontal length of 2 units and a vertical length of 2 units.
Figure B has an horizontal length of 9 units and a vertical length of 7 units
Thus:
Horizontal length of Figure B / Horizontal length of figure A = 9/2
Horizontal length of Figure B / Horizontal Length of Figure A = 7/2
Thus,
9/2 ≠ 7/2
This implies that their corresponding lengths are not corresponding to each other. Therefore, Figure B is not a scale copy of Figure A.
2. Jim has $57 in her bank account. He wants to buy a video game that costs $69. Should
Jim buy the video: Yes or No. Explain your reasoning using complete sentences.
Answer:
Well I would say John shouldn’t buy any vidoe games becuase first he can’t afford it and no one’s gonna borrow 12 dollars for a video gamer. Plus he can buy it when he has enough.
The roots of f(x) = 2x^2
+ 8x + 13 are
and
The vertex of the parabola is
at
Answer:
( 2 , − 5 )
Step-by-step explanation:
Solve the equation 4(c-3) = 8
What are the two ways to start solving this equation? Choose BOTH ways.
1. Use the distributive property to get 4c- 12 = 8
2. Use the distributive property to get 4c - 3 = 8
3. Add 3 to both sides to get 4c = 11
4. Divide both sides by 4 to get c - 3 = 2
5. Subtract 4 from both sides to get c - 3 = 4
Answer:
Use the distributive property to get 4c-12=8
Divide both sides by 4 to get c-3=2
Step-by-step explanation:
what is the common denominator for 3/5 and
what is the common dneominter for 5/8
Answer:
The common denominator would be 40
Step-by-step explanation:
a circle has its center at (-2, -3) and a radius of 3 units. Find the question of the circle using the Pythagorean Theorem
Answer:
a^2 plus b^2 = c^2
Step-by-step explanation:
That's the Pythagorean theorem apply.
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volume of each configuration. Does it appear that there is a maximum volume
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Find the distance between the given points. Round to the nearest tenth. 5,-2 and 1,2.
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Use the distance equation
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)
[tex]\sqrt{(5-1)^2+((-2)-2)^2}[/tex]
[tex]\sqrt{16+16}[/tex]
[tex]4\sqrt{2}[/tex]
Hope that helps :)
A single die is rolled. Find the odds in favor of rolling a number greater than 3.
Answer:
6:3
Step-by-step explanation:
Answer and Step-by-step explanation:
3 of the options are not to be chosen, and 3 are wanted.
That means that anything above 3 (so, 4, 5, or 6) are the numbers that are wanted, while the numbers 1, 2, and 3 are not wanted.
We have 6 total options.
The ration would be:
3:6, or 3 to 6. This reduces down to 1:2, or 1 to 2.
That means that there is a 50% chance of getting 4, 5, or 6.
#teamtrees #PAW (Plant And Water)
Hellpppp!! Ik it’s so easy but I have a literal peanut brain
Answer:3 1/3
Step-by-step explanation:
It’s 3 1/3
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
>C
C С
B
Angles are not drawn to scale.
Enter
Answer:
Measure?
Step-by-step explanation:
Could u like explains more pls?
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Given the coordinates (6, 3) and (-8, 1), the midpoint is:
0 (1, -2).
0 (-1,2).
O (-2, 4).
O (2,-4).
what is the present perfect of everybody
Answer:
Present Perfect Tense Examples
Has lived: She has lived here all her life.
Have written: They have written three letters already.
Have worked: I have worked here since I graduated school.
Has done: He has finished his homework.
Have been: We have been to Canada.
Has forgotten: She has forgotten her folder.
Step-by-step explanation:
Easy math question, many points!
Answer:
The picture isnt loading......
Step-by-step explanation:
Given f(x) = 9x + 1 and g(x) = x3, choose
the expression for (fºg)(x).
orange
Answer This is the answer in thie screenshot ok
Which graph shows exponential growth?
Answer:
VTFV
Step-by-step explanation:
The opposite sides of a parallelogram have measures (2x+10) cin and (x+15)
cm. What is the measure of the sides?
Answer:
The measure of the sides is 20 cm.
Step-by-step explanation:
Opposite side of a parallelogram:
Opposite sides of a parallelogram are congruent, that is, they have the same measure.
Measures (2x+10) cm and (x+15) cm:
This means that:
[tex]2x + 10 = x + 15[/tex]
[tex]2x - x = 15 - 10[/tex]
[tex]x = 5[/tex]
2x + 10 = 2*5 + 10 = 10 + 10 = 20
The measure of the sides is 20 cm.
A person places $3090 in an investment account earning an annual rate of 3%,
compounded continuously. Using the formula V = Pet, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 11 years.
Answer:
$4298.10
Step-by-step explanation:
Using the relation :
V = Pe^rt
P = 3090 ; r = 3% = 0.03 ; t = 11 years
V = 3090 * e^(0.03 * 11)
V = 3090 * e^0.33
V = 3090 * 1.3909681
V = 4298.0915
Amount in the investment after 11 years will be $4298.10