Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Step-by-step explanation:
By applying the distributive law to this equation, we can produce the equation :
4x − 12 − 5x − 5 = 3;
The distributive property is a mathematical function in which each element in the parentheses is multiplied by the one outside of it;
4(x − 3) − 5(x + 1) = 3
In the equation;
4 distribute over the first parentheses and -5 over the second one;
So we expand;
4x - 13 - 5x -5 = 3
In distributive property, expansion simply takes place.
in simba the temperature was 6°c in the morning on a particular day . What was the temperature during the night if it further dropped by 9°c
Given parameters:
Simba temperature in the morning = 6°C
Temperature drop = 9°C
Unknown:
Temperature during the night = ?
Solution:
Since the temperature in the morning is given;
Temperature at night = Morning temperature - drop in temperature
Temperature at night = 6°C - 9°C = -3°C
The temperature at night is -3°C
Kylie has $2.10 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Kylie has.
Answer:
Kylie has 6 Nickels and 18 dimes
Step-by-step explanation:
Variable definitions:
x=the number of nickels
y=the number of dimes
One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:
0.05x + 0.10y = 2.10
Since she has a total of 24 coins, we know x+y must equal 24.
x + y = 24
Write System of Equations:
0.05x + 0.10y = 2.10
x + y = 24
Solve for y in each equation:
0.05x + 0.10y= 2.10 x + y = 24
0.10y = 0.05x + 2.10 y = -x + 24
0.10y = -0.05x + 2.10
0.10 0.10
y = -1/2x + 21
The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:
Kylie has 6 Nickels and 18 dimes
We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.
Finding the system of equations:
First, let's define the variables, we will use:
x = number of nickelsy = number of dimes.We know that there are 24 coins, then:
x + y = 24
We know that the total whort of the coins is $2.10, then:
x*$0.05 + y*$0.10 = $2.10
Then the system of equations is:
x + y = 24
x*$0.05 + y*$0.10 = $2.10
Solving the system of equations.Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:
We can see that the intersection is at the point (6, 18)
So this means that she has:
6 nickels and 18 dimes.
If you want to learn more about systems of equations, you can read:
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what is the decimal multiplier to increase by 2.5%
Numbers equivalent to 15 divided 12
[tex]{Hello!\;your\;answer\;is>>>}[/tex] [tex]\huge\boxed{1.25}[/tex]
[tex]We\;have\;the\;equation\;below...[/tex]
[tex]\boxed{15\;Divided\;By\;12=\;(?)}[/tex]
[tex]The\;number\;equal\;to\;this\;is\;\boxed{1.25}[/tex]
[tex]\boxed{Hope\;i\;helped!}[/tex]
Number equivalent to 15/12 is 1.25 .
Given,
15 divided 12
Using division property,
The rules for division are:
(1) positive × or ÷ positive = positive
(2) positive × or ÷ negative = negative
(3) negative × or ÷ negative = positive
Rule for long division method,
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
Therefore,
divide, multiply, subtract, bring down and repeat or find the remainder.
Here the required value is of :
15/12
=5/4
= 1.25
Hence the answer is 1.25
Know more about division,
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#SPJ6
EMERGENCY! PLEASE ANSWER ASAP!
Answer:
It looks like you can keep the same nad just add the exponents
Step-by-step explanation:
plzz mark brainliest
someone plz help me on this , (-8)(7)
Answer:
-56
Step-by-step explanation:
Assuming this is negative 8 times 7 the answer is -56 because one negative times one positive is always a negative answer.
Answer:
-56
Have a nice day pls rate me and like.
: )
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points
Answer:
yes
Step-by-step explanation:
10x10=6x6 + 8x8
100= 36 + 64
Pythagoras theorem
What is the slope of the line? (Picture)
Answer:
-1/3
Step-by-step explanation:
its rise over run.
u rise 2, and run 6 and its a negative slope
when you simplify its then -1/3
Answer:
[tex]m = -\frac{1}{3}[/tex]
Step-by-step explanation:
Using the slope formula:
y2 – y1
m = --------------
x2 – x1
Plug in any two points that the line passes through:
In this case, (2, 0) and (–1, 1).
1 – 0
m = --------------
–1 – 2
1
m = --------------
–3
please help
thanks in advance
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
The median is the number in the middle. So first we order these numbers up which is:
2 15 16 23 24 25 25 26 34
Next we see in the middle we have 24, since there is four numbers on either side.
A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the circumference of the circular base of the cone and = 120°. Find:
a. the angle between [A F] and the base of the cone
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A[tex]\hat O[/tex]C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
Factor 6x^2 - X - 2
Kiera and Trina joined a gym. The gym offers two different payment plans. Kiera chose Plan 1 and pays $25 a month and no fee to join. Trina chose Plan 2 and pays $10 a month, plus a $100 joining fee. Which equation models Kiera’s total payments, t1, and Trina’s total payments, t2, after m months?
Answer:
t1 = $25m
t2 = $(10m + 100)
Step-by-step explanation:
Here we want to write equations
Kiera chose plan 1
$25 monthly and no joining fee
So the amount after m months will be 25 * m
t1 = $25m
Trina chose plan 2
$10 a month and $100 joining fee
after m months , total payment will be
10(m) + 100 = $(10m + 100)
Thus t1 = $25m and t2 = $(10m + 100)
in which quadrant does (-3, -1.5) and (-3, 8.5) lie?
Answer:
The first one would be the third one and the second one would be the second one.
Step-by-step explanation:
The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)
Amy thinks that 5 to the power of 3 is 3x 3 x 3, or 27. Explain what Amy is doing wrong.
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answer:
p = 45 - 2.5f
Step-by-step explanation:
5f + 2p = 90
just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying
5f + 2p = 90
-5f -5f
2p = 90 - 5f
/2 /2
p = [tex]\frac{90 -5f}{2}[/tex]
p = 45 - 2.5f
Write an equation to represent the following statement.
j divided by 9 is 5.
Solve for j.
j=
Answer:
J= 45
Step-by-step explanation:
You have to multiply 5 by 9 to get what J is.
Identify all sets to which this number belongs: 6.14
Natural, Whole, Integer, Rational
Whole, Integer, Rational
Integer
Rational
Irrational
which one? please help!
Answer:
6.14 is Rational only
Jacob is showing his steps to solve the expression −27.8 ÷ 1 over 7.
In which step did Jacob make an error?
Step 1: −27.8 ÷ 1 over 7
Step 2: −27.8 ⋅ 7
Step 3: −194.6
There is no error, Jacob did everything correctly
I will make you brainlliest and give you some points please help me i need help.
Thanks:)!!
Simplify -9(10 + 2).
-88
-72
-92
-108
Answer:
-108 is the correct answer
Step-by-step explanation:
=-9(10+2)
=-90+(-18)
=-90-18
= -108
Answer:
It's D or -108 (✿◠‿◠)
I know it’s late but is anybody here
Answer:
b is 0
Step-by-step explanation:
yes, i am here :)
Answer:
Equation: y = [tex]\frac{1}{2}x[/tex]
m = [tex]\frac{1}{2\\}[/tex]
b = 0
Type of Slope = Positive linear slope
We are here for you m8.
List all the factors of 45 from least to greatest. Enter your answer below using a comma to separate each number
Answer:
So, the factors of 45 are 1, 3, 5, 9, 15, and 45.
Step-by-step explanation:
Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5
Answer:
A,D
Step-by-step explanation:
Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?
The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.
Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
find the measure of the indicated side
Answer:
360 is a triangle
360-90=270
270÷2=135
Can you please help me with the questions I will give you brainliest.
Answer:
C the First page
Step-by-step explanation:
1) you input the 2 into the T So the equation would look like this
15+2.5*(times) 2
2) I'm not sure for the second
3) A because you are using the number given then multiplying.
1.58* times 5 = 7.5
But the starting number would be 1.5 sense that's the first number given
No one report me please.
Find the slope of a line parallel to the given line.
Complete the division problem by determining the number that should be placed in the box.
Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem.
Answer: 560
Step-by-step explanation:
547
14 | 7658
-7000
________
658
- 560
___________
98
- 98
__________
0
hope that helps i hope it correct and helps :D
I need help please its due tmrw and i have her first period.
Answer:
hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else
Write the word sentence as an equation. Then solve.
The product of 15 and a number x is −75.
Equation:
Solution: x=
Answer:
As an equation: 15 × x = -75
Solved: x = -5
Step-by-step explanation:
15*x = -75
[tex]\frac{15*x}{15}[/tex] = [tex]-\frac{75}{15}[/tex], Divide by 15 on both sides to solve for x
x=[tex]-\frac{75}{15}[/tex], The 15 in the numerator cancels out with the denominator
x= -5, because 75/15=5