Answer:
x = 35
Step-by-step explanation:
Supplementary angles add up to 180°.
if (3x + 15)° and 60° are supplementary, then
3x + 15 + 60 = 180
now, you just have to solve the equation.
3x + 75 = 180
3x = 105
x = 35
Check
3*35 + 15 + 60 = 180
105 + 15 + 60 = 180
180 = 180
A loan of $2,000 dollars is being paid off over time. You have automatic payments set up to pay $50 towards the loan each month. You also work and save money in your bank account. You currently have $500 in the bank and save an additional $100 per month. What is the earliest you could pay off you loan?
Answer:
10 months
Step-by-step explanation:
2000 - 500 = 1500.
You can pay 100 + 50 = 150 per month
1500 / 150 = 10 months
Work out angle x 55°
Answer:
70°
Step-by-step explanation:
We know that the triangle is an iscoceles based on the 2 small lines drawn horizontally on 2 sides of the triangle.
We know that the base angles in an iscoceles triangle are the same, so the angle that has not been drawn is 55°.
55° + 55° = 110°
180° - 110° = 70° (180 comes from the entire triangle adding up to 180°)
Solve: 3a - 2.4 = 5.1 a = _____
Answer:
a=2.5
Step-by-step explanation:
3a-2.4=5.1 Add the like terms ( plus 2.4 cancels out -2.4)
+2.4 +2.4
3a=7.5 Now divide by 3
/3 /3
a=2.5
what's the answer to n+4.5-0.3n-3
All of these statements are true EXCEPT which one?
Answer:
i think its B
Step-by-step explanation:
pls help me with this multiple choice ! (Actually try).
Answer:
B
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{68} \\ y = 34 \\ \cos( 30) = \frac{ x }{68} \\ x = 34 \sqrt{3} [/tex]
A bag contains blue,green,yellow,and red marbles. The probability of drawing a yellow marble is 3/10. What is the probability of NOT drawing a yellow marble?
Answer:
Step-by-step explanation:
The scale of the room design shows that 1" = 3 feet. How big is the actual room if the design shows a square that is 6 inches wide?
Answer:
arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:
1 inch=30 feet.
If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?
In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.
Using Proportions to Find Dimensions
A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.
A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.
Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as
1 in4 ft
(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)
A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.
First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.
1 in.4 ft.=4 in.x ft.
Then, cross multiply and simplify the equation to find the value of x.
xx==4(4)16
The sculpture will be 16 feet tall.
Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.
First, write a proportion to find the measurement of the width.
1′′2′=x′′8′
Next, cross multiply and simplify the equation to find the value of x.
2x2xx===1(8)84
The drawing will be 4
Pls help I hate math
A water container in the shape of a rectangular prism has a length of 2 meters, a width of 3/4 meter, and a height of 1/2 meter. If a cubic meter of water costs $1.20, what is the cost to fill the container?
Answer:
look below!
Step-by-step explanation:
For the length I think you meant 32, and if you did it is $14.40
If not and you meant length of 2 it is $0.90
Answer:
lxwxh for volume.
2x.75x.5 = .75 cubic meters.
.75 percent of 1.20 = .90.
90 cents is the answer.
Can someone help me plzzzzzz :(
Answer:
y = 12
Step-by-step explanation:
Name the ordered pair for Q
Please help solve the problem below.
Answer:
1. x = 2
2. x = 5
3. x = 8
4. x = 28
5. x = 13
6. x = 11
7. x = 0
8. x = 72
9. x = 6
10. x = 38
Step-by-step explanation:
hope that helps!
1. subtract 6 on both sides
2. add 3 on both sides
3. divide both sides by 2
4. multiply both sides by 2
5. add 8 on both sides
6. subtract 9 on both sides
7. add 5 on both sides
8. multiply both sides by 6
9. divide both sides by 4
10. add 18 on both sides
You are trying to increase your monthly savings to buy a used car. Your boss allows you to work one hour of overtime at time-and-half 5 days per week. Your regular wage is $12.00 per hour. You want to save $3,000 for your car. Approximately how many weeks must you work with the extra hour per day to reach your goal?
Answer:
34 weeks
Step-by-step explanation:
As given,
Wage of 1 hour = $12
⇒1$ = [tex]\frac{1}{12}[/tex] hour
⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour
As given,
1 week = 5 days
And he works
[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day
⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours
⇒1 week = [tex]\frac{15}{2}[/tex] hours
⇒1 hour = [tex]\frac{2}{15}[/tex] week
⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks
∴ we get
He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.
Solve the following simulataneous equations using an algebraic method (not graphical).
2x + 5y = 0
3x-4y = 23
Given:
The equations are
[tex]2x+5y=0[/tex]
[tex]3x-4y=23[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]2x+5y=0[/tex] ...(i)
[tex]3x-4y=23[/tex] ...(ii)
From (i), we get
[tex]2x=-5y[/tex]
[tex]x=-\dfrac{5y}{2}[/tex] ...(iii)
Putting this value in (ii), we get
[tex]3(-\dfrac{5y}{2})-4y=23[/tex]
[tex]-\dfrac{15y}{2}-4y=23[/tex]
[tex]\dfrac{-15y-8y}{2}=23[/tex]
[tex]-23y=2\times 23[/tex]
[tex]y=\dfrac{46}{-23}[/tex]
[tex]y=-2[/tex]
Putting y=-2 in (iii), we get
[tex]x=-\dfrac{5(-2)}{2}[/tex]
[tex]x=-\dfrac{-10}{2}[/tex]
[tex]x=\dfrac{10}{2}[/tex]
[tex]x=5[/tex]
Therefore, the solution of given system of equation is (5,-2).
Maria bought G gallons of gasoline for $2.75 per gallon and see cans of oil for $3.15 per can a what expression can be used to determine the total amount Maria spent on gasoline be if she bought 7.4 gallons of gasoline and eight cans of oil how much do you spend in all
Answer: $20.35 on gallons of gas and $25.2 on cans of oil
Maia's garden is made of rectangular regions, as shown below. She wants to cover her garden with plastic muluch to warm the soil. What is the area of the garden?
*check figure 1 for the diagram of the garden
Answer:
2,400 cm²
Step-by-step explanation:
The area of the garden has been decomposed into 3 rectangles, rectangles 1, 2, and 3 (see figure 2 in the attachment below).
To find the area of the garden, calculate the area of each of the 3 rectangles and sum them together.
Thus:
Rectangle 1:
Area = length × width = 20 × 20 = 400 cm²
Rectangle 2:
Area = length × width = 60 × 10 = 600 cm²
Rectangle 3:
Area = length × width = 70 × 20 = 1,400 cm²
✔️Area of the garden = 400 + 600 + 1,400 = 2,400 cm²
Find the value of two numbers if their sum is 21 and their difference is 5
Answer: x = 13 and y = 8
Step-by-step explanation:
Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.
x + y = 21
Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.
x - y = 5
We can now solve a system of equations for x.
x = y + 5
y + 5 + y = 21
2y + 5 = 21
2y = 16
y = 8
x - 8 = 5
x = 13
So x = 13 and y = 8
3. Select all the situations that can be represented by an exponential function.
1. Jim deposits $1,000 in an account that doubles in value every 7 years.
2. Brian deposits $30 in a savings account. Then he deposits $2 each month for the next 9 months.
3. Leon runs a mile in 8 minutes. Then he runs a mile each day for the next 4 days, reducing his time by 1.5% each day.
3.Cynthia runs a mile in 9 minutes. Then she runs a mile each day for the next 4 days, reducing her time by 6 seconds each
5.Marie deposits $30 in a savings account. Then she makes a deposit each month for the next 9 months, putting in $2 more
deposit
I think the answer is A, B, and E. I'm not sure if it is 100% correct.
PLEASE HELP WILL MARK BRAINLIEST!!! A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.
1. Is function C a piecewise function? Explain your reasoning.
2. Draw a graph to represent C.
3. Describe, as completely as possible, the domain of C.
4. Describe, as completely as possible, the range of C.
The equation to describe this will be y = 8x. It is assumed that Pass holders pay $8 each movie for the first five films. After five films, up to fifteen films, additional films are free. This will be represented by the function y = 40.
What is meant by equation?When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth.To learn more about equation, refer to:
https://brainly.com/question/22688504
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If a right circular cone has a volume of 15 cubic feet and a radius of 3 feet, what is the height of the cone?
A. 3 ft.
B. 5 ft.
C. 8 ft.
D. 2 ft.
Answer:
B, 5
Step-by-step explanation:
divide 3 by 15
15 divided by 3 = 5
h = height
5h
5 = height
your answer would be 5
The height of the cone is 1.6 ft.
What is cone?A right circular cone is one whose axis is perpendicular to the plane of the base. We can generate a right cone by revolving a right triangle about one of its legs.
Given that, a right circular cone has a volume of 15 cubic feet and a radius of 3 feet, we need to find the height of the cone,
Volume of the cone = π × radius² × height / 3
15 × 3 = 3.14 × 3² × height
Height = 45 / 3.14 × 9
Height = 1.60
Hence, the height of the cone is 1.6 ft.
Learn more about cones, click;
https://brainly.com/question/16394302
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There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Answer:
D
Step-by-step explanation:1x1x1=1
If elimination is the method used to solve this system of equations, what is the result of the first step?
S 4x + 3y = 6
4x - y = 2
Answer:
a
Step-by-step explanation:
i'll mark you brainlist <3
what is x
5 (x-2)= 45
Answer:
11
Step-by-step explanation:
5(x-2)=45
x-2=45/5
x-2=9
x=9+2
x=11
An item is regularly priced at $95. It is on sale for 80% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
76??
Step-by-step explanation:
95×0.20=19
95-19=76
PLZ HELP ILL GIVE BRAINLIEST
Answer:
11/5
Step-by-step explanation:
4x^2 − 8xy − 140y^2. Reduce to lowest term
Answer:
4⋅(x+5y)⋅(x−7y)
Step-by-step explanation:
dggfhjgjjghhghhjj
4 (x² - 2xy - 35y²) ------> 4 (x-7y)(x+5y)
Question 9 of 10
Solve the system of equations:
y= 2x + 1
y = x2 + 2x - 8
A. (0.1) and (2,5)
B. (-4,0) and (2,0)
C. (-3, -5) and (3,7)
O D. (-3,5) and (3, 2)
Answer:The answer is =3,7
Step-by-step explanation:
A bit confused on what to do. Can someone help?
Answer: the answer is on a calculator
Step-by-step explanation:
If your aboe to do that you can so anything
Please help will mark brainliest
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
Plz, mark me brainliest ;)