Answer:
The correct answer is:
Error made: The student multiplied only corresponding terms in each bracket with each other
Correction: Each term in one bracket is to be multiplied with every term in the next bracket
Step-by-step explanation:
The student paired the terms in the brackets into like terms and multiplied the like terms like this:
(2x + 2) × (4x - 1)
collecting like terms: (2x, 4x) (2, -1)
(2x × 4x) (2 × (-1)) = 8x² - 2.
The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:
(2x + 2) (4x - 1)
Each term in one bracket multiplies each term in the second bracket.
= 2x (4x - 1) + 2(4x -1)
= 8x² - 2x + 8x - 2
= 8x² + 6x - 2
slove The System of linear
equations by graphing.
3) y=x+3 Y=x+1
Answer:
10
Step-by-step explanation:
Given the equation y = mx+q
Change the subject of the formula of
1.1.1 m
Answer:
m = [tex]\frac{y-q}{x}[/tex]
Step-by-step explanation:
Given
y = mx + q ( subtract q from both sides )
y - q = mx ( divide both sides by x )
[tex]\frac{y-q}{x}[/tex] = m
Julie has 3 boxes of pens.
The diagram shows expressions for the number of pens in each box.
Look at these equations,
a = b + 9
b = c-2
Write an equation to show the relationship between a and c.
Answer:
a = c + 7
Step-by-step explanation:
just plug in (c - 2) for b in a = b + 9
4. Angie was given a gift card with a $75 balance. She only uses the gift card to purchase her daily cup of chai tea from her favorite café. A cup of tea is $2.85. The equation y = 75 - 2.85x represents the amount of money remaining on the gift card after x cups of tea. a. Identify and interpret the x- and y-intercepts. Round to the nearest tenth, if necessary. b. Predict how many cups of tea Angie has purchased when the gift card balance is about $35.
Answer:
Angie originally has $75 on her card.
She only uses the card for a daily cup of tea of $2.85
Then the equation:
y = $75 - $2.85*x
represents the balance on the card after x cps of tea.
a) The x-intercept is the pair (x, 0), meaning that y = 0, so this is the point at which the balance of the card is zero.
Here we need to solve:
0 = $75 - $2.85*x
$2.85*x = $75
x = $75/$2.85 = 26.3
Here we have a particular case because she can not buy 0.3 of a cup of tea, so the card will never reach a balance of $0.
The y-intercept is the pair (0, y) so we have x = 0, then: y = $75 - $2.85*0 = $75
This is the initial balance of the card.
b) Here we need to solve
y = $35 = $75 - $2.85*x
for x
$35 = $75 - $2.85*x
$35 + $2.85*x = $75
$2.85*x = $75 - $35 = $40
x = $40/$2.85 = 14.03
So after 14 cups of tea, the card's balance will be near $35.
While running a 2-sample z-test for two proportions, you find a test statistic of z=1.946. If the test is two-tailed and α=0.05, what decision will you make?
Answer:
Decision is to fail to reject the null hypothesis.
Step-by-step explanation:
Since our significance level is α = 0.05, but since it's a two tailed test for two proportions, in each tail, we will have 0.05/2 = 0.025.
Now, the rejection region will be the critical value at 1 - 0.025 = 0.975
From the z-table attached, the critical value at 0.975 is 1.96.
Thus, our decision rule will be;
If Z-score is less than -1.96, or greater than 1.96, we will reject the null hypothesis.
Now, we have a z-score of z = 1.946 in the question. This lies between -1.96 and 1.96.
Thus,we will fail to reject the null hypothesis
which of the following is not an undefined terms in geometry
Answer:
First where are the "following" and this should be in geometry
Step-by-step explanation:
question:
i am not able to see the following. maybe you forgot to add it in? its okay since i have done that mistake before! but i wont be able to help with a problem i cant see :(
Help me with this!!!!
Ivana's furniture store buys a chair at a wholesale price of $320.00. If the markup rate at Ivana's store store is 40%, what is the total markup in dollars?
Answer: $128.00
Step-by-step explanation:
From the question, we are given the information that Ivana's furniture store buys a chair at a wholesale price of $320.00 and that the markup rate at Ivana's store store is 40%.
The total markup will then be:
= Markup rate × Price
= 40% × $320
= 0.4 × $320
= $128.00
Find the equation of the line.
Use exact numbers
y=*blank*x+*blank*
New version of question pls help
answer
a is 39750000
b is 99375
Step-by-step explanation:
big numbers
A jet travels 460 miles in 5 hours. At this rate, how far could the jet fly in 15 hours?
Answer:
1380 miles in 15 hours (92 mph).
Step-by-step explanation:
460/5 = 92.
92 mph.
92*15=1380
1380 miles in 15 hours
Answer:
1380 miles in 15 hours
Step-by-step explanation:
*Assuming the jet travel at a constant speed.
First, find the amount the jet flew in 1 hour. Divide 460 miles with 5 hours:
460/5 = 92
The jet travels 92 miles per hour.
Next, multiply 92 mph with 15 hours:
92 x 15 = 1380 miles
1380 miles in 15 hours is your answer.
A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?
Answer:
1600 cubic feet
Step-by-step explanation:
8 x 2 1/2 = 8 x 2.5 = 20
20 divided by 1/2 = 10
8 x 10 x 20 = 1600
What are the coordinates of the point on the directed line segment from K (-5, -4) to L (5,1) that partitions the segment into a ratio of 3 to 2.
Answer:
i think its d
Step-by-step explanation:
so... I JUST ACED MY MF FINALS IN GEOMETRY!
thankyall to everyone who helped me. i love you. even if you dont see this. celebrate wimmi and get some points. :)
POGGERS!
CONGRATS!!!
if bob had 5 apples and gave Samatha 2 apples how much does he have
Answer:
3
Step-by-step explanation:
5-2=3
Answer:
According to my calculations...3
Step-by-step explanation:
Identify the pair of congruent corresponding angles and the corresponding sides.
three consecutive multiples of 2 is 36 then the multiples are
Answer:
9, 12, 15A multiple of 3 can be written 3n where n is a positive integer.
So 3 consecutive multiples of 3 can be written
3n,3n+3,3n+6
The sum of these is 36
3n+3n+3+3n+6=36
9n+9=36
Divide through by 9
n+1=4
n=3
If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36
Step-by-step explanation:
Hope it is helpful....
If time is four hours from now, the time left till midnight would be quarter that if it is one hour from now. What time is it now?
Answer:
The time now is 7 pm
Step-by-step explanation:
Suppose that now is the time T.
We know that:
"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".
Then:
if we define midnight as 12, and we assume that T is in the pm range.
Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))
With this in mind, we can write the problem as:
12 - (T + 4) = (1/4)*( 12 - (T + 1))
Now we can solve this for T.
12 - T - 4 = (1/4)*(12 - T - 1)
8 - T = (1/4)*(11 - T)
4*(8 - T) = 11 - T
32 - 4*T = 11 - T
32 - 11 = -T + 4*T
21 = 3*T
21/3 = T
7 = T
Then T = 7 pm
The time now is 7 pm
ASAP! what type of angles are <3 and <10
A. Consecutive interior angles
B. Alternate exterior angles
C. alternative interior angles
D. Corresponding angles
Answer:
∠3 and ∠10 are;
B. Alternate exterior angles
Step-by-step explanation:
From the given diagram, we have;
∠3 and ∠10 are angles on the same transversal
The location of ∠3 and ∠10 are on the outer (exterior) part of the two lines crossed by the transversal that forms ∠3 and ∠10 such that the two lines comes between the angles
∠3 and ∠10 are on the alternate sides of the transversal such that ∠3 is below the transversal and ∠10 is above the transversal
Therefore, ∠3 and ∠10 are alternate exterior angles.
If the x-value is multiplied by 3, what happens to y? The y-value is multiplied by _______
Answer:
Follow me please
Mark brainliest
pls hurry!! im being timed
Answer: $539
Step-by-step explanation:
Solve the equation to determine that the highest y value you can get is 539 with an x value of 18
Find the value of x.
Answer: x = I’m not doing that
Step-by-step explanation:
help me pls!!!!!!!!!!
Answer:
R U A girl?
Step-by-step explanation:
All of the following expressions are equivalent except
O x-7
0 7+(-x)
O-X+7
07-x
Mrs. Dudley is a preschool teacher. At snack time, she pours 3 quarts of whole milk and 1 quart of soy milk into glasses. Each glass has 1 cup of milk. If she uses up all of her milk, how many glasses can she fill?
Answer:
16
..............................................................
0.8) 498 what is the answer
Step 1: We make the assumption that 498 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=498$100%=498.
Step 4: In the same vein, $x\%=4$x%=4.
Step 5: This gives us a pair of simple equations:
$100\%=498(1)$100%=498(1).
$x\%=4(2)$x%=4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{498}{4}$
100%
x%=
498
4
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{4}{498}$
x%
100%=
4
498
$\Rightarrow x=0.8\%$⇒x=0.8%
Therefore, $4$4 is $0.8\%$0.8% of $498$498.
Match the following.
Answers:
PyramidRectangular PrismCylinderConeTriangular Prism==============================================
Explanation:
The formula for the volume of a pyramid is (1/3)*B*h, where B is the area of the base. If we're dealing with a rectangular pyramid, like those found in Egypt, then the area of the base is B = length*width. The volume for a prism is found by multiplying length (L), width (W), and height (H). So V = LWH. Think of having a 2 by 3 rectangle of blocks. We would have 2*3 = 6 blocks in total. Then if we have 5 layers of these stacked then we have 2*3*5 = 6*5 = 30 blocks in total. This is one way to visualize how the volume formula works.To get the volume of a cylinder, we multiply the area of the base (pi*r^2) by the height (h). So that's where pi*r^2*h comes from.The volume of a cone is 1/3 that of a cylinder's volume. This is when the cone and cylinder have the same radius, and also the same height. It's not required that r = h.Since all of the other answer choices are used up, the only thing left is "triangular prism". It's strongly implied here that B is the area of the triangular base. Though the formula Bh applies to any prism and it doesn't have to be a triangular prism. Note how B = LW, so Bh is the same as LWH, meaning that a rectangular prism can use the Bh formula.PLEASE HELP! I’m not sure if i’m right
Answer:
looks right
Step-by-step explanation:
Answer:
you are correct
Step-by-step explanation:
Write the equation in standard form.
1 + 4 = 3 (3x + 3)
Answer:
in fraction form it is -4/9 and in decimal form it is -0.4
Step-by-step explanation:
The probability of that nicky will pass his driving test is 3/7 what is the probability of him failing?
Answer:
4/7
Step-by-step explanation: