Mr. Smith has 78 total textbooks in his classroom cupboards. If the ratio of Science
books to ELA books is 5 to 8, how many Science books does he have?
38
0 48
O 30
65
A service center charges a fee of x dollars for an oil change plus y dollars per quart of oil used. A sample of its sales record is shown.
A table shows the oil tank size in quarts and total cost for two customers. Customer A: Oil tank size, 5 quarts. Total cost, 22.45 dollars. Customer B: Oil tank size, 7 quarts. Total cost, 25.45 dollars.
Write a system of linear equations that represents this situation.
Equation for customer A:
____=22.45$
Equation for customer B:
___=25.45$
Question 2
Find the fee and cost per quart of oil.
$ fee?
$ per quart of oil?
Answer:
Fee - $14.95, and $1.5 per quart of oilStep-by-step explanation:
Equation for customer A:
x + 5y =22.45$Equation for customer B:
x + 7y=25.45$Subtract the first equation from the second and solve for y:
x + 7y - x - 5y = 25.45 - 22.452y = 3y = 3/2y = 1.5Find x by substituting the value of y:
x + 5*1.5 = 22.45x = 22.45 - 7.5x = 14.95Please help clarify answer and step by step explanation
Answer:
10
Step-by-step explanation:
When u cross multiply
[tex]5 \div x = 3 \div6[/tex]
= 3x=30(5*6)
= x=30/3
=x=10
A regular polygon has 12 sides find the size of each of its interior angles
Answer:
150°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° ( n - 2) ← n is the number of sides
Here n = 12, then
sum = 180° × 10 = 1800°
Since there are 12 interior angles, then
size of each interior angle = 1800° ÷ 12 = 150°
Help please i dont get it
Answer:
3.51
Step-by-step explanation:
yes
Answer:
3.28
Step-by-step explanation:
If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?
Answer:
-55
Step-by-step explanation:
7x-6y=2
-2x-y=3
by substitution method
y=3+2x
7x-6(3+2x)=2
7x-18-12x=2
-5x=20
x=-4
-2(-4)-y=3
8-y=3
-y=3-8
y=5
therefore the value of x=4 and that of y=5
5x-7y=5(-4)-7(5)
=-20-35
=-55
what is the mesuement for y
Answer:
60 degrees
Step-by-step explanation:
add all together
make an equation of the sum= 180
this would mean 9r-9=180
solve
9r-9=180
9r=189
r=21
plug 21 in for r on the angle Y
solve
3(21)-3
63-3
60
help please?? hurry!! Find the values of the variables in the diagram above
Answer:
C = 95 degrees.
Step-by-step explanation:
The line is being intersected by parallel lines, so that means that those angles will add up to 180. 180-85=95.
15 x -3=?
5
45
-45
-5
Answer:
- 45
hope it's helpful ❤❤❤❤
THANK YOU.
The perimeter of the equilateral triangle shown below is 67.5 inches. Write and solve an equation to find the value of x.
i would but i need the picture
Find the term that must be added to the equation x2−2x=1 to make it into a perfect square.
Answer:
The perfect square ( x -1 )² = 2
Step-by-step explanation:
Explanation:-
Given equation x² - 2 x = 1
⇒ x² - 2 x + 1 -1 = 1
⇒ x² - 2x + 1² = 1 +1
⇒ ( x -1 )² = 2
Which function describes this table of values? х у 10 8 5 4 0 0 -5 -4 y = 2 y= y = x - 2 y=-3
Answer:
y=4/5x
Step-by-step explanation:
If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.
When you substitute the x value of 5 into the equation. You will get 4.
You do this for the rest of the x values and will get the correct y values.
How do I solve this with substitution, can you please put the work and steps. (x,y)
y=x+2
3x+3y=6
Answer:
(0,2)
x=0
y=2
Step-by-step explanation:
We know that y=x+2
This means that we can subsitute this for y into the second equation
3x+3(x+2)=6
This is easy to solve
3x+3x+6=6
6x=0
x=0
We can then use this value for x in the second equation
y=0+2
y=2
I doubled checked this answer on desmos and my math is correct
Answer:
Answer:
(0,2)
x=0
y=2
Step-by-step explanation:
We know that y=x+2
This means that we can subsitute this for y into the second equation
3x+3(x+2)=6
This is easy to solve
Step 1:
3x + 3x + 6 = 6
Step 2:
6x=0
6 6
x=0
Then you should substitute y =x + 2 with the given solution from the first equation, x = 0
y=0 + 2
y=2
Your answer should be, x =0 and y = 2 or (0,2)
Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
PLEASR HELP ASAP!!!!!!! i’ll mark brainlest
Increase 386.3 by 4%
Given:
Increase 386.3 by 4%.
To find:
The value for given statement.
Solution:
We have,
Initial value = 386.3
Increasing rate = 4%
The increased value is
[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]
[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]
[tex]\text{New value}=386.3+15.452 [/tex]
[tex]\text{New value}=401.752[/tex]
Therefore, the required value is 401.752.
1)) Simplify the expression:
0.6(-5 + 2p)
Answer:
1.2p−3
Step-by-step explanation:
Answer:
-3+1.2p
Step-by-step explanation:
Distribute .6 across the parenthesis (.6*-5 and .6*2p)
A Cable company charges $70 per month for cable service to existing customers.
a. Find a linear equation representing he relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
Answer if correct 70 points Brainly
Answer:
I am not very sure, but I think the answer is
D.
Answer:
answer is d becuase i took the test and got it right
Step-by-step explanation:
the link is visable tho
Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?
Answer:
5 hours 8 mins?
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $
Answer:
Step-by-step explanation:
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
Use what you know about end behavior to match each function in standard form with its graph below.
Answer:
2=C
3=A
4=D
5=B
Step-by-step explanation:
Answer:
2=C
3=A
4=D
5=B
Step-by-step explanation:
Which of the following expressions Will result in a product less than zero? Select all that apply
Answer:
A and D
Step-by-step explanation:
Negative times positive is always negative, thus making them less than 0. Negative times negative is positive, so B and C both have a positive product. Hope this helps
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
10
Step-by-step explanation:
2pi(5) is 31.42.
31.42/pi gets you exactly 10pi meters.
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.
Part B: The coordinate. Part B the coordinates of the origin are (0,0).
Answer:
A 1,1
Step-by-step explanation:
3z squared minus 6z if z = 5
Answer:
45
Step-by-step explanation:
Given
3z² - 6z ← substitute z = 5 into the expression
= 3(5)² - 6(5)
= 3(25) - 30
= 75 - 30
= 45
Answer:
Step-by-step explanation:
First, convert the z’s to numbers.
3(5) squared - 6(5)
do the squared first
3(25)-6(5)
multiply
75-30=45
Answer:45
1. Which expression can be factored into the form (ax + b)(ax - b), where
a and b are rational numbers?
4n2 - 81
2n2 - 49
2n2 + 49
4n2 + 81
The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).
B.
2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).
C.
2n² + 49:
This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.
D.
4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)
Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.
Learn more about Factors here:
https://brainly.com/question/24182713
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