Complete Question:
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?
s(t)•h(t)= (3x-4)(2x-8)
= 6x² - 24x -8x - 32
= 6x² - 32x - 32
Answer:
Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.
Advice: Jamie should take note of the rule that applies when multiplying signs.
Step-by-step Explanation::
To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:
s(t)•h(t)= (3x-4)(2x-8)
Using distributive property, do the following:
[tex] 3x(2x - 8) -4(2x - 8) [/tex]
[tex] 3x*2x -3x*8 -4*2x -4*-8 [/tex]
[tex] 6x^2 - 24x - 8x + 32 [/tex] (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
[tex] 6x^2 - 32x + 32 [/tex]
Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.
Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
okay so I believe the answer is 30
step-by-step explanation:
So the area is length times width and a parallelogram is Bh so all you would have to do is multiply 10 by 30
Melody has learned to play 298 songs on the piano. She plans to learn to play ten more songs by next week. If she meets her goal, how many songs will she be able to play by next week?
Answer:
308 songs
Step-by-step explanation:
you just add the number of songs that she already knows how to play plus the number of songs that she learns to play the next week then you have your answer
She will be able to play 308 songs by next week.
Step-by-step explanation:
please help me and don't just write a random answer for the points. thank you
Answer:
If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck
Step-by-step explanation:
4400 x 400=????????????
Answer:
An easiest way to multiply without a calculator would be:
1) First multiply 44*4 = 176
2) Then count the zeroes in the question and add it to your answer. So your answer will look like: 1760000
6+7×4+34=56 are they equal
No its not, the equation your showing right now adds up to 68
Answer:
No
Step-by-step explanation:
6+7×4+34=56
Step 1 - (PEMDAS)
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Simplify Using PEMDAS :
7 • 4 = 28
6 + 28 + 34 = 56
68 = 56 NOT EQUAL
Together, Linda and Penny sold 492 boxes of Girl Scout cookies. Penny
sold 48 more boxes than Linda. How many boxes did Linda sell?
Answer:
222
Step-by-step explanation:
Let L = number of boxes Linda sold.
Let P = number of boxes Penny sold.
The sold a total of 492 boxes.
L + P = 492
Penny sold 48 more boxes than Linda.
P = L + 48
Substitute P with L + 48 in the first equation and solve for L.
L + L + 48 = 492
2L + 48 = 492
2L = 444
L = 222
Answer: Linda sold 222 boxes.
Check:
Penny sold 48 more boxes, so she sold 222 + 48 = 270.
Add the numbers they sold: 222 + 270 = 492
The difference is 48, and the total is 492. Our answer is correct.
A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She removed 15 litres of the water and replaced it with 15 litres of pure lemon juice.
After thoroughly stirring the new mixture, she discovered that it was too “lemony”. So she removed 10 litres of the new mixture and replaced it with 10 litres of water. She thoroughly stirred the mixture and concluded that the new mixture was just right.
Determine the ratio of pure lemon juice to water in the final 60 litre mixture.
Answer:
ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.
Step-by-step explanation:
In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:
Total volume of mixture = 60 liters
initial volume of water = 60 liters
initial volume of lemon juice = 0 liters
1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.
Volume of water = 60 - 15 = 45 liters
Volume of lemon juice = 15 liters
[tex]\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water[/tex]
2) She removed 10 liters of the new mixture
Let us convert this amount removed into ratio:
[tex]lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.[/tex]
New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:
[tex]lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water[/tex]
3) and replaced it with 10 liters of water.
[tex]New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters[/tex]
The final ratio of lemon juice to water:
[tex]\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19[/tex]
Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.
Joana takes $20 to the arcade and it costs $2 for every game she plays.
a) Write the equation that represents I, how much she has left, after she has
played x number of games.
Answer:
m = 20 - 2x
Step-by-step explanation:
where m represents the amount of money she has left, and x represents the number of video games she has played
can i get a thanks and brainliest please?
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening
Which equation can Maya use to find how much of the project she painted in all?
Brynne withdrew all the money from her savings account in a series of 4 withdrawals and now has a balance of - $20. What is the average change on her account per withdrawal
Answer:
Is $80
Step-by-step explanation:
If 89.2 mL of a liquid has a mass of 75.2 g, calculate the liquid’s density.
Answer:
0.843
g
m
L
Explanation:
To calculate the density, we have to use the formula below:
D
e
n
s
i
t
y
=
M
a
s
s
V
o
l
u
m
e
Usually, density will have units of
g
m
L
when dealing with a liquid or units of
g
c
m
3
when dealing with a solid.
The mass has units of grams,
g
.
The volume can have units of
m
L
or
c
m
3
We are given the mass and the volume, both of which have good units. All we have to do is plug the given values into the equation:
D
e
n
s
i
t
y
=
75.2
g
89.2
m
L
Thus, the liquid has a density of 0.843 g/mL.
Step-by-step explanation:
Find the unit rate. Then write which is the better buy. $0.90 for 2 pens or $1.75 for 5 pens
Answer:
2 pens for $0.90 is better
Step-by-step explanation:
2 1/3 divided by 4/5
Answer: 2.91666666667
Answer:
(2 1/3) : (4/5) = 35 /12 = 2 11 /12
1. You convert the mixed number (2 1/3) into an improper fraction which is 7/3.
2.Then you find a new numerator so you multiply the whole number (2) by the denominator (3) which is 6.
3 Add the answer (6) to the starting numerator (1). The new numerator equation: 6+1=7.
4.Write the new numerator (7) over the denominator (3)
Two and one seven third is seven thirds.
5. Then you divide: 7/3 : 4/5 = 7/3 * 5/4 = 7*5/ 3*4
6. Multiply (7 and 5) and (3 and 4) which gives you 35/12.
7.Then you transform it back into a mixed number by dividing 35/12 which gives you 2 11/12.
Lines q and r are parallel What is the value of x?
A.14
B. 22
C. 53
D. 70
Answer:
I'm pretty sure it is C
Step-by-step explanation:
If you look right above x, you will see that the triangle is the same size as the x triangle. So the are gonna be the same degrees. (53 degrees)
Answer:
53°( vertically opposite angles)
57°( alternative angles)
According to the above problem,
[tex]5x + 53 + 57 = 180 \\ 5x + 110 = 180 \\ 5x = 70 \\ x = \frac{70}{5} \\ \boxed{x = 14}[/tex]
(A) 14 is the right answer.-5x + 3x +9 = ax + 4 +b
Answer:
a=−b−2x+5/x
Step-by-step explanation:
Step 1: Flip the equation.
ax+b+4=−2x+9
Step 2: Add -b to both sides.
ax+b+4+−b=−2x+9+−b
ax+4=−b−2x+9
Step 3: Add -4 to both sides.
ax+4+−4=−b−2x+9+−4
ax=−b−2x+5
Step 4: Divide both sides by x.
ax/x=−b−2x+5/x
a=−b−2x+5/x
2y + 12 = -3x
solve pls i have more I WILL GIVE EXTRA POINTS!!!!!!!!!!
20+
2y + 12 = -3x
Step-by-step explanation:
Divide y y by 1 1 . Divide 12 12 by 2 2 . Use the slope-intercept form to find the slope and y-intercept. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.
Answer:
2y+12=-3x
Step-by-step explanation:
is the answer
what is 2plus2minus2minusplus2plus2 you get one hundred points and brainliest so you get more points.
the answer is 4 just don't want the points.
Answer:
2 + 2 = 4 - 2 = 2 - 2 = 0 + 2 = 2 + 2 = 4
tanks :D
Answer:
4
Step-by-step explanation:
I kinda need help. Math isn't my best subject.
REASONING A newspaper company has three printing presses that together can produce 3500 newspapers each
hour. The fastest printer can print 100 more than twice the number of papers as the slowest press. The two slower
presses combined produce 100 more papers than the fastest press. How many newspapers can each printing press
produce in 1 hour?
Answer:
X = 1,700; Y = 1,000; Z = 800
Step-by-step explanation:
I could have sworn I answered this??? Sorry! Brainly, why wouldn't you let me answer this last night??? Anyway, for these types of problems, use X, Y, and Z for the three things you need to solve. First, we know that X (the fastest printer) = 100 + 2Z, where Z = the slowest printer. Z + Y = 100 + X or Z + Y = 100 + ( 100 + 2Z). --> Y - 200 = Z and Y = Z + 200. Next, we can add X + Y + Z together and set it equal to the full amount of newspapers, 3,500. Which would stand as 100 + 2Z + Z + 200 + Z = 3,500, let's try to solve for Z first, since it'll be super easy. We get 300 + 4Z = 3,500 --> 4Z = 3,200 --> Z = 800. Y = 200 + 800 = 1,000 and X = 100 + 2*800 = 1,700. And Z + Y = 800 + 1,000 = 1,800, which is 100 papers more than the fastest printer.
What is the best first step to solve the inequality 5x – 3 ≥ 2?
Answer:
add 3
Step-by-step explanation:
trust me
What’s greater - 2/6 or - 3/8 or is it equal
Answer:
3/8 is greater
Step-by-step explanation:
I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
im sorry please hurry
Given:
In a number, adding [tex]1\dfrac{3}{4}[/tex], then multiplying the result by [tex]2\dfrac{2}{11}[/tex] we get 8.
To find:
The unknown number.
Solution:
Let the unknown number be x.
According to the question,
[tex](x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8[/tex]
[tex](x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8[/tex]
[tex](x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8[/tex]
[tex](x+\dfrac{7}{4})\times \dfrac{24}{11}=8[/tex]
Multiply both sides by [tex]\dfrac{11}{24}[/tex].
[tex]x+\dfrac{7}{4}=8\times \dfrac{11}{24}[/tex]
[tex]x+\dfrac{7}{4}=\dfrac{11}{3}[/tex]
Subtract [tex]\dfrac{7}{4}[/tex] from both sides.
[tex]x=\dfrac{11}{3}-\dfrac{7}{4}[/tex]
[tex]x=\dfrac{44-21}{12}[/tex]
[tex]x=\dfrac{23}{12}[/tex]
[tex]x=1\dfrac{11}{12}[/tex]
Therefore, the required number is [tex]1\dfrac{11}{12}[/tex].
4x + 3(2 - x) = 8 – 2x
Answer:
x= 2/3 or in decimal form 0.6(the 6 repeats) hope this helps
Step-by-step explanation:
divide each side by the factors that do not contain the variable in this case the variable is x
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
The equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
As it is needed that the line must be perpendicular to the y-axis, therefore, the slope of the line will be 0 and the value of y will be 0. Also, it is given that the line passes through (4, 7). Therefore, the equation in slope-intercept form for the line is,
y = mx + c
7 = 0(4) + c
c = 7
Hence, the equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis is y=0x+7 or y=7.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ2
Han rides his bike for 50 miles over 4 hours. How long will it take him to ride 75 miles?
Answer:
6
Step-by-step explanation:
[tex]75 \times 4 = 300[/tex]
[tex]300 \div 50 = 6[/tex]
the answer is 6
Answer:
6 miles
Step-by-step explanation:
The diagram shows changes of state between solid, liquid, and gas. The atoms of a substance lose energy during a change of state. Before the change, the atoms are close together but are able to slide past one another.
A diagram has a triangle at center with gas on top, liquid on bottom right, solid on bottom left. An arrow from gas to liquid is labeled O, and an arrow from liquid to gas is labeled N. An arrow from solid to liquid is labeled P, and an arrow from liquid to solid is labeled Q. An arrow from solid to gas is labeled L, and an arrow from gas to solid is labeled M.
Which arrow represents the change of state described above?
M
N
P
Q
Is Triangle B a rotation of Triangle A? Explain how you know.
Answer:
where is the figure
Step-by-step explanation:
y-4= 3х + 5y
Solve for y
Answer:
y= -3x/4 - 1
Step-by-step explanation:
Answer:
y = - 3/4x - 1
Step-by-step explanation:
Step 1:
y - 4 = 3x + 5y Equation
Step 2:
- 4 = 3x + 4y Subtract y on both sides
Step 3:
- 3x - 4 = 4y Subtract 3x on both sides
Step 4:
- 3/4x - 1 = y Divide
Answer:
y = - 3/4x - 1
Hope This Helps :)
If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then which of the following is a true statement?
f(0) > g(0)
f(8) = g(8)
f(2) = g(2)
g(4) < f(4)
Answer:
f(8) = g(8)Step-by-step explanation:
Given
f(x)= 2x – 3 and g(x) = 3/2x + 1
f(0)= 2(0)-3
f(0) = -3
g(0) = 3/2(0)+1
g(0) = 0+1
g(0) = 1
Hence since -3 < 1, this means that f(0)<g(0)
Also;
f(8)= 2(8)-3
f(8) = 16-3
f(8) = 13
g(8) = 3/2(8)+1
g(8) =12+1
g(8) = 13
This shows that g(8) = g(8)
Hence g(8) = g(8) is a true statement
If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.
Answer:
S = 2w( 5w + 6h)
Step-by-step explanation:
given:
S = 2(lw + lh + wh)
if l = 5w, then we simply substitute this into the expression above.
S = 2[ lw + lh + wh ]
S = 2[ (5w)w + (5w)h + wh ]
S = 2[ 5w² + 5wh + wh ]
S = 2( 5w² + 6wh) simplify by factoring out w
S = 2w( 5w + 6h)
