Answer:
x = 28
Step-by-step explanation:
Step 1: Make an equation to represent the words
In an equation what number do you subtract from 59 to get 31?
59 - x = 31
Step 2: Solve for x
59 - x - 59 = 31 - 59
-x / -1 = -28 / -1
x = 28
Answer: x = 28
Mai spends 7 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switching rooms between classes. The rest of her day is spent in 6 classes that are all the same length. How long is each class?
The each class is 64 minutes or 1 hour 4 minutes long.
Step-by-step explanation:
1 hour = 60 minutes.
Total time spent in school = 7 hours+3/5 hour = 7(60) + (3/5)(60) minutes.Total time = 420+36 = 456 minutes.Lunch period = 30 minutes.Time for switching classrooms = 42 minutes.Time spent in 6 classes :
Time spent in 6 classes = Total time - (lunch period + switching classes)
⇒ 456 - (30+42)
⇒ 456 - 72
⇒ 384 minutes.
The Time for each of 6 classes :
Time for each class = Time spent for all 6 classes / 6
⇒ 384/6
⇒ 64 minutes.
⇒ 1 hour 4 minutes.
If 3x + 8 = -4, then
evaluate x3 + 5
Answer:
-59
Step-by-step explanation:
x3 is meaningless; I assume you meant x^3.
If that's the case, then:
3x + 8 = -4 is equivalent to 3x = -12, so that x = -4.
Then (-4)^3 + 5 = -64 + 5 = -59
Answer:
-59
Step-by-step explanation:
the question can be solved by some simple mathematical steps.
If 3x + 8 = -4
then, x3 + 5 =?
from 3x + 8 = -4
collect the like terms
3x = -4 - 8
3x = -12
divide both sides by 3
3x/3 = -12/3
x = -4
if x = -4 then to find x3 + 5 will imply that we will insert the value of x = -4 into the x3 + 5
-4 ³ + 5
-64 + 5
= -59
therefore the value of x3 + 5 is solved to be -59
The graph of which function has an axis of symmetry at x = 3?
The graph of y = 2(x - 3)² + 2 has an axis of symmetry at x = 3
The graph of which function has an axis of symmetry at x = 3?
From the question, we have the following parameters that can be used in our computation:
The quadratic functions
A quadratic function is represented as
y = a(x - h)² + k
Where,
The axis of symmetry is at x = h
Using the above as a guide, we have the following:
The graph of y = 2(x - 3)² + 2 has an axis of symmetry at x = 3
Question
The graph of which function has an axis of symmetry at x = 3?
y = 4(x + 3)²
y = 2(x - 3)² + 2
y = x² + 2
y = 2(x + 5)² + 2
x∙5∙25∙4÷5, if x=813
Final answer:
When x equals 813, the algebraic expression x⋅5⋅25⋅4÷5 simplifies to 81300 by substituting x with 813 and following the order of operations through multiplication and division.
Explanation:
The question asks for the calculation of an algebraic expression with the substitution of x=813. The expression is x⋅5⋅25⋅4÷5. To solve this, we first substitute x with 813, and then we follow the order of operations.
Substitute x with 813: 813⋅5⋅25⋅4÷5.Multiply the numbers together: 813⋅5 equals 4065, 4065⋅25 equals 101625, and 101625⋅4 equals 406500.Finally, divide by 5: 406500÷5 equals 81300.Therefore, when x=813, the solution to the expression is 81300.
A system of equations is shown.
x + y = 7
2x – y = – 1
What is the solution to the system of equations?
Final answer:
To solve the system of equations (x + y = 7 and 2x - y = -1), use the addition method to find that the solution is x = 2 and y = 5.
Explanation:
The question asks for the solution to the following system of equations:
x + y = 7
2x – y = – 1
To solve this system, we can use the method of addition (also known as elimination) to eliminate one of the variables. Here's how:
Add the two equations directly to eliminate variable y:
(x + y) + (2x - y) = 7 – 1
3x = 6
Therefore, x = 2.
Substitute the value of x into one of the original equations to find y:
2 + y = 7
Therefore, y = 5.
So, the solution to the system of equations is x = 2 and y = 5.
The solution to the system of equations is [tex]x = 2[/tex] and [tex]y = 5[/tex].
To solve the system of equations [tex]x + y = 7[/tex] and [tex]2x - y = -1[/tex], we can use a method called substitution or elimination. Let's use substitution for this case.
Start with the first equation:
[tex]x + y = 7[/tex]
Solve this equation for one of the variables, say [tex]y[/tex]:
[tex]y = 7 - x[/tex]
Substitute [tex]y = 7 - x[/tex] into the second equation:
[tex]2x - (7 - x) = -1[/tex]
Simplify and solve for [tex]x[/tex]:
[tex]2x - 7 + x = -1[/tex]
[tex]3x - 7 = -1[/tex]
[tex]3x = 6[/tex]
[tex]x = 2[/tex]
Substitute [tex]x = 2[/tex] back into the expression for [tex]y[/tex]:
[tex]y = 7 - 2[/tex]
[tex]y = 5[/tex]
This means that the point [tex](2, 5)[/tex] is where the two lines represented by these equations intersect. Therefore, the solution is [tex](2, 5)[/tex].
PLEASE HELP ME!!! 5 POINTS
What does Florida's state constitution include in its first article?
A. Declaration of rights
B. Description of the state flower
C.Image of the state flag
D. Plans for the Capitol building
Hello.
The answer is A. The Declaration of Rights.
Answer:
c. image of the state flag
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.
Answer:
[tex]f=17\\p=9\\[/tex]
Step-by-step explanation:
Let
[tex]f= Full-time\\p=Part-time[/tex]
Full time rates-$275, Part-time rates-$140
The problem can be expressed as:
[tex]f+p=26...eqtn1\\275f+140p=5935....eqtn2\\[/tex]
Express eqtn1 in terms of f,[tex]f=26-p[/tex]
Substitute f value in eqtn 2.
[tex]=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\[/tex]
Therefore, jeds has 17 fulltime and 9 parttime employees.
1/10(x+50)=-3x-13+4x
The question is about solving the linear equation 1/10(x+50)=-3x-13+4x. This process involves simplifying the equation, combining like terms, and isolating x to find the solution.
Explanation:This question involves algebra, specifically the solving of linear equations. To start, your equation is
1/10(x+50)=-3x-13+4x
. First step is to simplify the equation: both sides of the equation need to be simplified and rearranged. After simplifying, we can combine the x terms and constants together. You will then isolate x on one side of the equation by adding or subtracting terms as needed. This will give you the solution to the equation. It's important to remember that the solution to the equation is the value of x that makes both sides of the equation equal. Note that one might end up with no solution if the equation is not consistent after simplifying.
Learn more about Solving Linear Equations here:https://brainly.com/question/11897796
#SPJ3
Question 3 (Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Og(x) = x - 6
O g(x) = x -
11111
x
0
|
+ III
x
M
|
x
M
O g(x) = x + 2
|
O g(x) = x + 6
Answer:
[tex]g(x) = x + 6[/tex]
Step-by-step explanation:
The parent function is given as:
[tex]f(x) = x + 8[/tex]
We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then
[tex]g(x) = f(x - 2)[/tex]
We replace x by x-2 in f(x) to get:
[tex]g(x) = x - 2 + 8[/tex]
When we simplify, we obtain:
[tex]g(x) = x + 6[/tex]
Factor out the greatest common monomial factor from the polynomial. (If the polynomial has no common monomial factor, enter NCF.)
8x + 8
Answer:
Step-by-step explanation:
8x = 8 * x
8 = 8 * 1
Greatest common factor = 8
8x + 8 = 8(x+ 1)
Which figure has only one line of symmetry? A. rhombus B. square C. circle D. isosceles triangle
Answer:
D. isosceles triangle
Step-by-step explanation:
Answer:
D. Isosceles Triangle
Step-by-step explanation:
An Isoceles triangle can only be folded once, it has one line of symetry. A square has 4, a circle has infinete and a rhombus has 2 so it has to be an isoceles triangle.
-4 1/4 divided by 1/2
Answer:
-8.5, or -8 1/2
Step-by-step explanation:
Put it into an improper fraction: -17/4
Multiply: -17/4 * 2/1 (To divide, multiply by reciprocal)
= -34/4
Simplify: -17/2, or -8 1/2
Answer:
-34/4 or -8 1/2
Step-by-step explanation:
First we want to put -4 1/4 so its all a fraction we do this by multiplying 4 to 4 and adding it to the 1 already in the fraction (We can ignore the sign and just add it to the fraction because the entire fraction is negative not just the 4). So we have -17/4
To divide fractions we use keep change flip it is an easier way to divide fractions with out making decimals. We keep the first fraction change the division into multiplication and flip the last fraction, in this case 1/2 becomes 2/1. Now we have
-17/4 * 2/1
Our next step is to multiply the numerators together and the denominators together and then put it back in fraction form.
-17 * 2 = -34
4 * 1 = 4
Our final result is
-34/4
Or if you need it as a mixed number you just divide the 34 into 4 as many times as you can and make that the whole number. 34 doesn't completely fit into 4 but 32 does so we have
-8 2/4 or simplified further
-8 1/2
Stop 1: first, let's pay the bills.
1) Henna's cell phone company has a basic monthly plan of $60 plus $0.12
per minute. At the end of the month she was charged with a total of
$123.00. How many minutes has she used this month?
Answer:
525 Minutes
Step-by-step explanation:
The equation would be...
$60 + $0.12m = $123
Now we can simplify
($60 - $60) + $0.12m = ($123 - $60)
$0.12m = $63
($0.12m/$0.12) = ($63/$0.12)
M = 525
Simplify the expression -23 + 6
Answer:
−23+6
=−23+6
=−17
Step-by-step explanation: Mark brainliest please!
Find the surface area of number 1. Will give Brainliest
Answer:
142 in^2
Step-by-step explanation:
Base: 7 × 3 = 21 (×2 = 42)
Small faces: 5 × 3 = 15 (×2 = 30)
Larger faces: 5 × 7 = 35 (×2 = 70)
Add: 21 + 30 + 70 = 142
plz help me asap will give brainliest and 100 points.
3. A new ice cream shop is opening up and the owners are making a large ice cream cone for display (see
picture below). What is the volume of the ice cream cone? Round your answer to the nearest hundredth of a
cubic inch. Use 3.14 to approximate pi. Show your work and explain your steps.
Answer:
167.47 cubic metres
Step-by-step explanation:
Volume of a cone is given by [tex]\frac {\pi r^{2}h}{3}[/tex] where r is radius and h is the height of the cone. Assuming a radius of 4m and height of 10 m then the volume, using 3.14 for [tex]\pi[/tex] will be
V=[tex]\frac {3.14\times 4^{2}\times 10}{3}\approx 167.47 m^{3}[/tex]
Eric can wrap 50 gift boxes in one hour. On this basis, Samantha computed the number of gifts he can wrap in 0.05 hour. How many significant digits are there in Samantha’s result?
A) 1
B) 2
C) 3
D) 4
Answer:
The answer is B).2
Step-by-step explanation:
any 0 after the decimal is significant. .05 should be the answer.
Answer:
It is not 2 i got it wrong
Step-by-step explanation:
i think it is one
Skylar got a manicure for $28 and pedicure for $35
salon. If she plans to tip 15%, how much will she pay?
Answer:
$72.45
Step-by-step explanation:
Add the amounts of the manicure and pedicure together: 28 + 35 = 63
Then find 15% of $63. You will need to find the decimal equivalent of 15%. To do this, divide 15 by 100 or move it two decimal places to the right: 15/100 = 0.15
Now, multiply total of the manicure and pedicure, 63, by 0.15: 63 x 0.15 = 9.45
$9.45 will be her tip. To find the total amount Skylar payed, add the tip to the amount spent on the mani/pedi: 63 + 9.45 = 72.45
Skylar will pay $72.45
Hope this helps!
Final answer:
To calculate Skylar's total payment including a 15% tip for her manicure and pedicure, add the cost of both services ($63) and then calculate the tip ($9.45). The total payment is $72.45.
Explanation:
The student's question involves calculating the total cost of a service which includes both a tip and the original prices of the services purchased - in this case, a manicure and a pedicure. To find how much Skylar will pay after tipping 15%, we first need to calculate the total cost of the services before the tip.
Firstly, we add the cost of the manicure ($28) and the pedicure ($35) to get the total cost before the tip:
Manicure = $28Pedicure = $35Total cost before tip = Manicure + Pedicure = $28 + $35 = $63Next, we calculate the amount of the tip by multiplying the total cost by the tip percentage (which we convert from 15% to a decimal by dividing by 100):
Tip percentage = 15%Tip as a decimal = 15% / 100 = 0.15Tip amount = Total cost before tip × Tip as a decimal = $63 × 0.15 = $9.45Finally, we add the original total cost to the tip to find the final amount Skylar will pay:
Final total cost = Total cost before tip + Tip amount = $63 + $9.45 = $72.45So, Skylar will pay $72.45 in total for her manicure and pedicure including a 15% tip.
what is the y-intercept of y=3x - 8
Answer:
(0, -8)
Step-by-step explanation:
y is defined as x=0,
therefore y = 3*0 - 8= -8
Answer:
-8 or (0, -8)
Step-by-step explanation:
The point slope form: y = mx + b
m is the slope
b is the y-int
Step 1: Identify the y-int
y = 3x - 8
-8 is the y-int
(0, -8)
Answer: -8 or (0, -8)
if f(x) = 3x - 12, what is f(2)?
-6
-18
18
6
Answer: -6
Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).
To find f(2) or the value of the function when x equals 0, we simply substitute 2 in for x in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.
So f(2) or the value of the function when x equals 2 is -6.
3 (x+2) = 18
Can you please use the distributive property thx?
Answer:4
Step-by-step explanation:3x+6=18 minus 6 on both sides and divide by 3
There are 12 animals in a farm.
Some are cows
The rest are chickens
There are 28 animal legs in all.
How many cows are there?
How many chickens are there?
Answer:
2 cows 10 chickens
Step-by-step explanation:
2 X 10 = 20
4 X 2 = 8
20 + 8 = 28
What is the length of D.
8ft
Answer:
96 inches
Step-by-step explanation:
8 ft is 8(12) inches, which is 96 inches
After one hour, the hare had finished 2/3 of a 100-yard race. In that same time, the tortoise had finished 42 3/4 yards. How much farther had the hare run than the tortoise?
Answer:
23 11/12 yards or 23.9166 yards
Step-by-step explanation:
2/3 of 100 yard race is equivalent to 66 2/3 yards. Tge difference between the above and 42 3/4 yards covered by tortoise will be
66 2/3- 42 3/4= 23 11/12 yards or 23.91666 yards
Find the next 3 terms in each sequence
1). 8, 24, 72, 216.... ____, ______, _____,
Answer: 648, 1,944, and 5,832.
Step-by-step explanation: Begin by studying the pattern.
Here, notice that 8 × 3 is equal to 24.
24 × 3 is equa to 72.
72 × 3 is equal to 216.
Continuing the same pattern, 216 × 3 is equal to 648.
648 × 3 is equal to 1,944.
1,944 × 3 is equal to 5,832.
I have also attached in image below showing my work.
So the three missing terms in the pattern are 648, 1,944, and 5,832.
Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4 more than twice the number of postcards. How many of each did he buy?
Solution:
Let stamps be s and postcards be p
Given that,
The number of stamps was 4 more than twice the number of postcards
s = 4 + 2p -------- eqn 1
Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28
41 cent = $ 0.41
26 cent = $ 0.26
Therefore,
[tex]s \times 0.41 + p \times 0.26 = 10.28[/tex]
0.41s + 0.26p = 10.28 --------- eqn 2
Substitute eqn 1 in eqn 2
0.41(4 + 2p) + 0.26p = 10.28
1.64 + 0.82p + 0.26p = 10.28
1.08p = 10.28 - 1.64
1.08p = 8.64
Divide both sides by 1.08
p = 8
Substitute p = 8 in eqn 1
s = 4 + 2(8)
s = 4 + 16
s = 20
Thus Jason bought 20 stamps and 8 post cards
Melinda has a scrap piece of fabric with one angle
measuring 52°. If she needs to find a complementary
angle, what angle measure does she need to cut the
next piece?
Melinda should cut the piece of fabric at an angle of______
Answer:
38
Step-by-step explanation:
Answer:
38
A right angle. A line comes out of the angle to split the angle into 52 degrees and blank.
Melinda has a scrap piece of fabric with one angle measuring 52°. If she needs to find a complementary angle, what angle measure does she need to cut the next piece?
Melinda should cut the piece of fabric at an angle of
38
°.
Step-by-step explanation:
Use the system of equations to answer the questions.
2x + 3y = 3
y = 8 - 3r
The value of y from the second equation is substituted back into the first equation. What is the resulting equation?
What is the value of x?
What is the value of y?
Answer:
the value of x and y is 3 and -1 respectively.
Step-by-step explanation:
from the question
let
2x + 3y = 3........................ equation 1
y = 8 - 3x.............................. equation 2
put y = 8 - 3x in equation 1
2x + 3y = 3........................ equation 1
2x + 3 ( 8 - 3x) = 3
2x + 24 - 9x = 3
24 - 7x = 3
24 = 3 + 7x
24 -3 = 7x
21 = 7x
divide both sides by 7
x = 3
put x = 3 in equation 2
y = 8 - 3x.............................. equation 2
y = 8 - 3 ( 3)
y = 8 -9
y = -1
therefore the value of x and y is 3 and -1 respectively.
identify the numerical coefficient of the term 5xy
The phone company charges a 1.5% service fee on all long distance calls. If a long distance call bill is $32, how much is the service fee?
Answer:
$0.48
Step-by-step explanation:
Step 1: Make an equation to help show the relation ship
The phone company charges a 1.5% service fee on all long distance calls.
%1.5x
0.015x
Step 2: Plug in and then multiply
0.015x
0.015(32)
$0.48
Answer: $0.48