Answer:
x = -80
Step-by-step explanation:
[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]
George wants to increase the amount of push-ups that he can do each day by 2. He is already able to do 14 push-ups. The amount of push-ups George wants to do each day is given by the linear function f(x) = 2x + 12. Which explicit rule is equivalent to this linear function?
Answer:
Explicit rule used is: f(n) = f(1) + (n - 1)d
Step-by-step explanation:
We are told he currently does 14 push ups per day.
Now, he wants to increase the push ups by 2 per day.
Now, the first term in the sequence of push ups is 14 while the constant difference is 2.
Now, the explicit rule to be used here is arithmetic progression whereby;
f(n) = f(1) + (n - 1)d
Where;
f(1) is first number in the sequence
d is constant difference
n is number of days
Thus, plugging in our values from the question, we have;
f(n) = 14 + (n - 1)2
f(n) = 14 + 2n - 2
f(n) = 2n + 12
This tallies with the linear function given in the question.
Thus; the explicit rule used here is;
f(n) = f(1) + (n - 1)d
John already owes $13; but is still spending $9 every 4 days. Identify
the slope (m) for this scenario
DO
BIG IDEAS MATH
DDD
Course 2: FL 2015 > Chapter 2: Subtracting Rational Numbers > Section Exercises 2.3 Exercise 23
A new road that connects Uniontown to Springville is 4 miles long. What is the change in distance when us
number
Springville
new road
Uniontown
23
mi
Answer:
19 miles
Step-by-step explanation:
Length of new road - Length of old road = Change in length = 23 - 4 = 19
3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation
Answer:
-2.56E5
3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5
Answer: -2.56 x 10⁵
:-D
Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899[tex]e^{0.032t}[/tex]
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899[tex]e^{0.032\times 19}[/tex]
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
Answer:
38386000
Step-by-step explanation:
got it right on edge
What is -14x+28+6x=-44 and show your work pls and thankyou.
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
Plz I need your help I don’t understand
Answer:
1). 15.5 miles
2). 8.4 miles
3). 0.08 per ounce
Step-by-step explanation:
213 ÷ 6 = 15.5
25.2 ÷ 3 = 8.4
0.96 ÷ 12 = 0.08
Hope this helps!!
into my trap!" Justin shouts, laughing like the madman he is. The mouse he captured stares back at him indifferently as it munches on a piece of cheese at the bottom of a box whose base measures
12
cm
12 cm12, start text, space, c, m, end text by
12
cm
12 cm12, start text, space, c, m, end text.
Move the points on the grid below to draw the base of the box in which the mouse is trapped
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You're being asked to move points on a grid so they form a square that is 12 units on a side. We don't know what your points or your grid look like, so we can only guess what your final figure might be. Attached is a square 12 units on a side, similar to one you're asked to draw.
Solve for p, I don't know what else to add but yeah
solve for p?
Also explain
Answer:7
Step-by-step explanation:
6p-4+7p+3=90
13p-1=90
13p=91
p=7
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account.
No other money was deposited into or withdrawn from the account.
How much was her initial deposit?
Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
i = prt i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
Answer: $160.00
Step-by-step explanation: Answer confirmed on test
A company makes two sizes of dog toys. The regular size works for most dogs, and the jumbo size is for really big dogs! Last week, the company made 1,740 dog toys. They made 11 times as many regular size toys as jumbo size toys. How many jumbo size dog toys did they make?
Answer: 1595 jumbo size
Step-by-step explanation:
From the question, let regular size toys be represented by a.
We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:
Jumbo side toys = 11 × a = 11a
To calculate the number of jumbo size dog toys they make goes thus:
11a + a = 1740
12a = 1740
a = 1740/12
a = 145
Jumbo size toys = 11a
= 11 × 145
= 1595
Explain how to write fractions with denominators of 10 and 100 as decimals.
To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
Learn more here:
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A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?
Answer:
3 gallons
Step-by-step explanation:
if 1 gallon is consumed for 54 miles
what about 164 miles ..
so you take 1 * 162
..........
54
QUESTION 5
The expression 50m + 18m in simplest form is
B.
81m
A.
28m
D.
8V2m
C.
812
Answer:
the anwer is D.8V2m to youre question
answer the question(s) will give brainliest if correct
---
thanks
for 2) please explain
Answer:
d=r*2
πtimes the diameter
Step-by-step explanation:
diameter is twice the radius
there is nothing like that
Write an equation that relates the sale price, s, to the original price p.
Answer:
s= px
Step-by-step explanation:
Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles
Answer:
The answer is below
Step-by-step explanation:
The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:
R² = 12² + 5²
R² = 144 + 25
R² = 169
R = √169 = 13
R = 13 miles
The resultant vector is 13 miles
The direction is gotten from:
θ = tan⁻¹(5/12)
θ = 22.62° North West
The resultant vector is therefore 13 miles North West
Answer:
13.9
Step-by-step explanation:
What does this mean exactly?
Answer: Choice B [tex]y \le 0[/tex]
========================================================
Explanation:
They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.
The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.
So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]
Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.
The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]
One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".
Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.
Write a quadratic function f whose zeros are - 5 and 7.
Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.
Answer:
range is -8,10,28
Step-by-step explanation:
9(1)-17=-8
9(3)-17=10
9(5)-17=28
Hope this helps
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Answer:
I'm so sorry I can't help
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in slope-intercept form.
Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6
You have 23.8 feet of string that you need to cut into 3.4 feet sections. How many sections of
string will you be able to make?
Answer:
7
Step-by-step explanation:
[tex]23.8 \div 3.4 = 7[/tex]
Only do 12(I will mark brainlest
Answer:
D
Step-by-step explanation:
None of them show the Unit Rate
Answer:
B because unit rate is for a single unit.
WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served
Answer:
There were 135 adults that were served.
Step-by-step explanation:
Let's use c for child's cost and a for adult's cost.
The total amount is 1347.50. With this, we can create an equation to solve for adults.
a + c = 250
3.50c + 7a = 1347.50
Using system of equations, we can plug in values to get our answer.
c = 250 - a
3.50(250 - a) + 7a =
875 - 3.5a + 7a =
3.5a = 472.5
135 = a
115 = c (when you plug a into the equations)
There were 135 adults that were served.
Answer:
135
Step-by-step explanation:
x = number of child's plate
y= number of adult's plate
x+y=250 => 1
3.50x+7y=1347.50 => 2
Multiplying equation 1 by 3.50,
3.50x+3.50y=875 =>
Subtracting equation 3 from equation 2,
3.50x +7y - 3.50x - 3.50y = 1347.50 - 875
3.50y = 472.50
y= 135
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
Answer:
tfollow me plzzz
Step-by-step explanation:
NEED HELP PLEASE IM BEGGING YOU !!!!!
I NEED HELP WITH 6 AND 7 PLEASE
Answer:
6. is H
7. is B
Explanation:
the communitive property states that if: a+b=c, then b+a=c
if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
To which subsets of numbers does 30/15 belong ?
30/15 = 2
Since 2 is a natural number, a whole number and an integer, so is 30/15.
A racquetball club membership costs $22.50 per month. What would a year’s membership cost?
Answer:
270 dollars for a year, so 22.50 times 12
The cost of the membership for a year will be $270.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A racquetball club membership costs $22.50 per month.
We know that in a year, the number of months is 12.
Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.
Cost = 22.50 x 12
Cost = $270
The cost of the membership for a year will be $270.
More about the Algebra link is given below.
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