1) The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]
when [tex]m=10[/tex], [tex]15[/tex] more college hats were sold
2) The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below
3) The length of one side of the square scrapbooking page will be
[tex](2x+5)\text{ inches}[/tex]. The working is shown below.
1) According to the question, [tex]m[/tex] is the number of months hats were sold.
[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months
[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months
Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]
the expression representing how many more college hats were sold than professional hats is
[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]
when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and
[tex]m+5=(10)+5=15hats[/tex]
[tex]15[/tex] more college hats were sold in [tex]10[/tex] months
2) To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below
remove brackets
[tex]-12x+6-2x[/tex]
arrange like terms
[tex]-12x-2x+6[/tex]
simplify like terms
[tex]-14x+6[/tex]
The answer is (D)
3) Let the length of one side of the square be [tex]s[/tex]
The perimeter will be
[tex]4s=8x+20[/tex]
making [tex]s[/tex] the subject of the formula
[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]
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Solve for j. 144j2 + 21 = 85
Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!
Calculate the average of the numbers shown22,48,11 ,34,5
Answer:24
Step-by-step explanation:
22+48+11+34+5=120
120/5=24
The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.
Answer:
Step-by-step explanation:
t2 = a*r
t2 = 6
t5 = a*r^4
t5 = 162
162/6 = ar^4 / ar
r^3 = 27
r = 3
6 = a*3
2 = a
Sum = a(r^n - 1)
=======
r - 1
n = 5
a = 2
r = 3
Sum = 2(3^5 - 1)
=======
2
Sum = 242
Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.
Answer: 25/27
Step-by-step explanation:
4/9 + 4/5 (2/3)^2
4/9 + (4/5)(4/9)
4/9 + (16/54)
24/54 + 16/54
50/54
25/27
Answer:4/5
Step-by-step explanation:
Please solve this problem please ASAP !
Answer:
3/x+2 = 4/y
then y equals
3y = 4(x+2)
y = 4x + 8 / 3
c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.
Answer:
steps below
Step-by-step explanation:
h = 5t² + 8t + 3
5t² + 8t + (3-h) = 0
** ax²+bx+c=0 x= (-b±√b²-4ac)/2a
[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex] ..... h≥3 to make t≥0
A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.
Answer:
1.300 correct me if I'm wrong
Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?
Answer:
12 apples
Step-by-step explanation:
32/8=4 Then you multiply it by 3 to get 12.
Answer:
41:9
Step-by-step explanation:
You have 32 red apples.
And a ratio of red apples to green.
The ratio is 8:3.
This ratio is a simplified veiw of it.
You need to do,
32 ÷ 8
which equals 3.
So then multiply both sides of the ratio by 3.
8 × 3 is 32
3 × 3 is 9.
Your new ratio is,
32:9
Red apples to green apples.
Now since you need the total amount of apples to green apples.
Add 32 and 9.
Which is 41 total apples.
Your new ratio is,
41:9
what is 4(2x+3) simplified using distributive property
Answer:
8x +12
Step-by-step explanation:
The outside factor is applied to each term inside parentheses:
4(2x +3) = 4(2x) +4(3) = 8x +12
[tex]\huge\boxed{Hi\:there!}[/tex]
To simplify this expression, we should use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's use it:
4(2x+3)
8x+12
That's the answer.
[tex]\huge\boxed{\boxed{\boxed{Hope\:it\:helps!}}}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Ummmm would 3x+4 be positive on a graph
Answer:
Part of the time
Step-by-step explanation:
This is a linear line, meaning it is an infinite straight line. Part of the time it will be more than 0, part of the time it will be less than 0.
Answer:
Yes there would be a positive correlation on a graph.
Step-by-step explanation:
Say we use 0 as our X value. We get 4 as our Y value. Another example we can use is 10. We get 34 as our Y intercept.
order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest
Answer:
2^9=512
5.9*10^2=590
9^3=729
5^4=625
6.81*10=68.1
6.81 × 10¹, 2⁹, 5.9 × 10², 5⁴, 9³
HELP PLEASE!!!!! THIS IS DUE TODAY!!!!
Answer:
nonlinear
Step-by-step explanation:
it's a parabola
Who ever can answer these three questions first I will give them a brainliest! Or two
Need help ASAP. Heeellllppppp ppplllllsss!!!
5. 6. And 7.
Answer:
mathemiatical porbs is is it itroon poickg niucer g tnt g hayabusa sanjo karaneteooo break the code
Step-by-step explanation:
Ok so 0.5 x 10^5 = ? What is the answer? The 5 is little and its on top please i don't know how to explain.
Answer:
50,000
Step-by-step explanation:
The little 5 is called an exponent, so it would be 0.5*10^5.
Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand
The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.
Answer:
[tex]12,000\geq 4t+8,000[/tex]
Step-by-step explanation:
7. Given: 21 and 22 are supplementary.
Prove: l / m
What is the missing plece of information in the paragraph proof?
Proof: It is given that 21 and 22 are supplementary. 21 and 23 are also supplementary, so
Since 22 and 23. are corresponding angles, l I m.
3
m
The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
What is the Corresponding Angles Theorem?The corresponding angles theorem states that the corresponding angles formed congruent to each other when two parallel lines are cut by a transversal.Conversely, when a transversal cuts two straight lines, if the corresponding angles formed are congruent, then the two lines that are cut by the transversal are parallel to each other.
The corresponding angles in the image given are: ∠2 and ∠3.
Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.
In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
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the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works. which answer is the best interpretation of the number 11 in the equation
Answer: 11 represents the extra amount of money he gets.
Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.
The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.
Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.
Now , M=12.5h+11,
On comparing with striaght line equation we can say that the slope is 12.5
So, number 11 in the equation represents the extra amount of money he gets for being present at work.
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Multi step equations that equal 17 with fractions
Answer:
7/1 - 7/1 + 17/1 = 17
Step-by-step explanation:
The solution to the equation (x/6 - 4 + 2/3) = -1/2, using the LCD or clearing method, is x =17 by solving multistep equations that equal 17 with fractions
To solve this equation, use the LCD (Least Common Denominator) method to eliminate the fractions.
The LCD in this case is 6, as it is the smallest number that both 6 and 3 (the denominators of the fractions) can evenly divide.
Step 1: Multiply every term in the equation by 6 to clear the fractions:
[tex]6 \times (x/6 - 4 + 2/3) = 6 \times(-1/2)[/tex]
Simplifying the equation:
[tex]x - 24 + 4 = -3[/tex]
Step 2: Combine like terms on the left side:
[tex]x - 20 = -3[/tex]
Step 3: Isolate the x variable by adding 20 to both sides of the equation:
[tex]x - 20 + 20 = -3 + 20[/tex]
Simplifying further:
x = 17
Therefore, the solution to the equation [tex](x/6 - 4 + 2/3) = -1/2[/tex] is [tex]x = 17[/tex].
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Question: Solve the multistep equations (x/6-4+2/3)=-1/2 that equal 17 with fractions using LCD or Clearing method.
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP
Answer:
$6400
Step-by-step explanation:
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years?
First you want to find how much she will get each year.
Turn 4% into a decimal.
Which you have to move the decimal point over to spaces to the left.
4. ----- .4 ----- .04
Now that you have done that you need to multiply,
$80000 × .04
which is $3200.
Now you know she gets $3200 a year.
Now multiply $3200 by 20.
$3200 × 20
which is $6400.
She will get $6400 interest.
Colton wants to buy a trampoline in 2 months the trampoline costs $228,
if he saves each month how much will he have to save each month?
Answer:
114 each month
Step-by-step explanation:
Answer:
114
Step-by-step explanation:
228 divided by 2 = 114
plz guys say me the answer fast and correct
i think the x intercept is 2 in problem a
Answer:
A)x=150
B)2Pie*raduis
A2)2
B2) don't know what a bearing is srry
A3)???
Hope This Helps!!!
If the measure of an inscribed angle is 142 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)
A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?
Answer:
Step-by-step explanation:
14% increase
Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
The cost of labour per hour is $65.
Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.
We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now, according to question 157+3.75×x=400.75
⇒3.75x=400.75-157
⇒3.75x=243.75
⇒x=243.75/3.75
⇒x=65
Therefore, the cost of labour per hour is $65.
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what is the example of 897 * 39+(34*964)
Answer:
a_n=a_1+(n-1)d
Step-by-step explanation:
sorry for late anwser
what is this using Distributive property 6(n + 4)
Answer:
6n + 24
Step-by-step explanation:
the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.
The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
Recall:
The slopes of the opposite sides of a parallelogram are always parallel.When two lines have a slope that is equal, the lines are said to be parallel to each other.The slopes given shows are:
-1/2, 3/2, -1/2, and 3/2
This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.
Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).Learn more about parallelogram on:
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Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.
It is 103.68 degrees :)
