7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300
The linear function that represents the amount of money in dollars Anton would have saved is given by:
C y = 15x + 300
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:
m = 150/10 = 15.
Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:
b = 450 - 150 = 300.
Thus, the equation is given by:
y = 15x + 300.
Which means that option C is correct.
More can be learned about linear functions at https://brainly.com/question/24808124
A map is drawn using the scale of 1 cm to 8 miles. The distance between two towns on the map is 7.5 cm. Work out the actual distance between the two towns.
Answer:
60 miles
Step-by-step explanation:
[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]
Remember these are ratios!
Hence, they are 60 miles apart
Please check if I’m right or not!
Answer:
1, 3, and 4 are CORRECT
2 is wrong.
Step-by-step explanation:
In #2
-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.
so you should get:
-9x - 36
(- 18) × (- 5) × (- 4) =
Answer:
−360
Step-by-step explanation:
Round of to the numbers as indicated:
1. 48521
To nearest 10:
To nearest 100:
To nearest 1000:
1. 674502
To nearest 10:
To nearest 100:
To nearest 1000:
3. 3875
To nearest 10:
To nearest 100:
To nearest 1000:
Answer:
See below.
Step-by-step explanation:
1. 48521
To nearest 10: 48520
To nearest 100: 48500
To nearest 1000: 49000 (8 goes up to 9 becasue of the 5)
1. 674502
To nearest 10: 674500
To nearest 100: 674500
To nearest 1000: 675000
3. 3875
To nearest 10: 3880
To nearest 100: 3900
To nearest 1000: 4000
To nearest 10:
= 48520
To nearest 100:
= 48500
To nearest 1000:
= 49000
1. 674502To nearest 10:
= 674500
To nearest 100:
= 674500
To nearest 1000:
= 676000
3. 3875To nearest 10:
= 3880
To nearest 100:
= 3900
To nearest 1000:
= 4000
(if the number your rounding is higher than 5, round the number up)
hegarty maths angles
Given that A, O & B lie on a straight line segment, evaluate acute ∠COD.
Check the picture below.
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been able to save this money for the year and then put it into a savings account earning 1.8% simple interest, how much money could he have in savings after 3 more years? a. $1,649.72 b. $1,055.10 c. $1,019.06 d. $1,001.04
The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,
[tex]P=83.42\times12\\P=1001.04[/tex]
The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,
[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]
The total total amount in his bank account after 3 years is,
[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]
Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
Learn more about the simple interest here;
https://brainly.com/question/2294792
Answer:
b.
$1,055.10
Step-by-step explanation:
right on edg 22
What is the domain and range?
What do you guys think question 2,3,4 &5 Is called?
2 - cubic centimeters
3- cubic decimeters
4- cubic centisquare
5- cubic millimeters
( cylinder's unit is in cubic due to formula )
(correct me if I'm wrong)
Can you help me with this problem please
Answer:
7 units
Explanation :
Check out my work that I’ve attached
Let me know if you have any questions!
Have a nice rest of your day :)
A coconut falls from the top of a tree and reaches a velocity of 19.6 m/s when it hits the ground. it takes two seconds to reach the ground. what is the coconuts acceleration?
Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².
What is the velocity formula?It is given by the initial velocity plus acceleration multiplied by time, that is:
v(t) = v0 + at.
In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:
v(t) = v0 + at.
19.6 = 0 + 2a.
2a = 19.6.
a = 19.6/2.
a = 9.8 m/s².
The acceleration is of a = 9.8 m/s².
More can be learned about the velocity formula at https://brainly.com/question/26408808
The Earth revolves around the Sun one year. How many
weeks, days, hours, minutes, and seconds are in a year?
Answer:
Weeks = 52
Days = 365
Hours = 8,760
Minutes = 525,600
Seconds = 3.1536 × 10^7
Step-by-step explanation:
Answer:
1 Year =
31540000 seconds.
525600 minutes.
8760 hours.
365 days.
52.1429 weeks.
12 months.
Step-by-step explanation:
Hey there!
You can do this by calculating all the numbers since you already know that there are 24 hours in a day, 12 months in a year and 365 days in a year
What is the radius and diameter of the following circle?
14 cm
Answer:
Diameter : 14 cm
14÷2=7
Radius : 7
Step-by-step explanation:
Diameter is two time the Radius
how many seconds does it take the second hand of a clock to rotate through an angle of 72
each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .
by this simple method you can figure out your answer that what actually it is.
GOOD LUCK !
A pound of apples costs $1.30. Sawyer bought 2 1/2 pounds of apples. How much did Sawyer pay?
A.$3.50
B.$3.25
C.$4.00
D.$2.25
2 1/2 pounds = 2.5 pounds
A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25
-> Answer : B
Find the value of x
A. 8
B. 4
C. 19
D. 24
Given figure is a parallelogram
To Find
Value of"x"
Solution[tex]m \angle \: A = m \angle \: C[/tex]
[tex]2x + 35 = 5x - 22[/tex]
[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]
[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]
Hope this helpsconti. 7-10 thanks a lot!
unhelpful answers will be deleted.
Answers:
10. b. [tex]\displaystyle 13[/tex]
9. b. [tex]\displaystyle 20[/tex]
8. a. [tex]\displaystyle 33[/tex]
7. a. [tex]\displaystyle 25°[/tex]
Step-by-step explanations:
10. Both segments are considered congruent, so turn both expressions into an equation:
[tex]\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x[/tex]
Plug this back into the equation to get [tex]\displaystyle 13[/tex]on both sides.
9. All edges in a square obtain congruent right angles and edges, so set [tex]\displaystyle 45[/tex]equivalent to the given expression:
[tex]\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}[/tex]
8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:
[tex]\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}[/tex]
7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:
[tex]\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}[/tex]
I am joyous to assist you at any time.
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. If the area of each circular target is 28.26 square feet, what is the diameter of each circle? Use 3.14 for π and round your answer to the nearest tenth.
Answer: A) 7.1 square feet
Step-by-step explanation:
area of a circle= πr^2
given,
d=3 feet=3/2=1.5 feet
hence,
area of a circle= πr^2
= 3.14×(1.5)^2
= 7.065
=7.1 square feet.
Given that secA = 13/5, what is the value of cosA
Answer:
cos A = 5/13
Step-by-step explanation:
sec A = 1/cos A
sec A = 1/cos A 13/5 = 1/cos A
cos A = 5/13
A triangle has side lengths of (5n+3p)(5n+3p) centimeters, (9n+8q)(9n+8q) centimeters, and (6q+9p)(6q+9p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
The expression that represents the perimeter of the given triangle in centimeters is; 14n + 10p + 14q
What is the perimeter of the triangle?We are given the side lengths of the triangle as;
5n + p; 9n + 8q; 6q + 9p
Now, the formula for perimeter of a triangle is;
Perimeter = a + b + c
where a, b and c are side lengths of the triangle. Thus;
Perimeter = 5n + p + 9n + 8q + 6q + 9p
Perimeter = 14n + 10p + 14q
In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.
Read more about Triangle Perimeter at; https://brainly.com/question/24382052
A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST
Answer:
231.1 gm
Step-by-step explanation:
1040 J / .9 j/(gm-C) / 5C = 231.1 gm
The mass of the metal is 231.111 gram.
What is specific heat?The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.
The formula for heat is given by the formula,
Q = mC(ΔT)
Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,
Q = mC(ΔT)
1,040 = m × 0.900 × 5
m = 1040/(0.900×5)
m = 231.111 g
Hence, the mass of the metal is 231.111 gram.
Learn more about Specific Heat:
https://brainly.com/question/11297584
#SPJ2
ing a Reflection in the
oordinate Plane continued
angle XYZ is reflected across the y-axis to form
ure X'Y'Z'.
for classroom use.
Step-by-step explanation:
17) no problem were noticed, just:
reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';
reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.
For more info see the attached picture.
Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
Answer:
Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
please need help on = 0.35+0.6+____= 1
Answer:
0.59
Step-by-step explanation:
18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?
Answer:
Has two unkown variables
Step-by-step explanation:
When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables
The most simplified version of this equation would be VX = -14
More information would be needed to solve
Here's the rest of the questions
Answer:
A us right of first one and d is the right of another one
What is the area of the figure triangle sides 3, 4, 8
Answer:
Area of a triangle = (base x height) / 2
if the base is 3 and height is 4
Area = (3x4)/2 = 6 sq units
if the base is 4 and height is 8
Area = (4x8)/2 = 16 sq units
if base is 3 and height is 8
Area = (3x8)/2 = 12 sq units
2021 balls are arranged in a row and are numbered from 1 to 2021. Each ball is coloured in one of four
colours: green, red, yellow or blue. Among any five consecutive balls there is exactly one red, one yellow and one blue ball. After any red ball the next ball is yellow. The balls numbered 2, 20 and 202 are green. What colour is the ball numbered 2021?
(A) green
(B) red
(C) yellow
(D) blue
(E) not determined
Answer:
D) blue
Step-by-step explanation:
because the first ball has to be blue
the second ball is green
the third is red
and the fourth one is yellow
so u multiply 1(blue ball)× 2021=blue ball
A tool set is on sale for $180 after a markdown of 40% off the regular price. Find the regular
price.
Answer:
$180 + $72 = $252
Step-by-step explanation:
$180 * 40%
$180 * 0.40 = $72
$180 + $72 = $252
PLEASE HELP
Given f(x) = - 5x + 2 g(x) = 1/2 * x + 4 and find f(g(x)) .
Answer:
-5x/2 - 30
Step-by-step explanation:
Oop I placed it in the wrong spot
Place the give into the formula
f(g(x)) = f(x/2+4)
Plug it in
-5(x/2+4)+2
Simplfy
-5x/2-20-10
Answer:
-5x/2 - 30