Factor completely: 5x2 - 2x
32. [Problem Solving 2] *
On Martha's 9th birthday, her mother
made a cake which had the digits 0 to 9
around the edge in red icing. Using the
guidelines below, her mother cut the
cake into 3 pieces so that the numbers
on each piece added to the same total.
Mark the cuts. What fraction of the
whole cake was the largest piece?
Answer:
The three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
Step-by-step explanation:
Given,
Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9
Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal
0,1,2,3,4,5,6,7,8,9
(9,6,0) (8, 4,3), (7,5, 1,2)
Hence the three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
Find the surface area of the cube.
5.5 yd
5.5 yd
5.5 yd
The surface area is
square yards.
HELPPPPPP
Answer:181.5
Step-by-step explanation:
5.5*5.5*6
multiply by six because there are six side
Question 11 of 20: Select the best answer for the question. 11.
Given gross sales of $50,000, sales returns and allowances of $6,000, beginning inventory of $4,000, net purchases of $8,000, ending inventory of $2,000, and operating expenses of $4,500, calculate net income.
A. $32.500
B. $28,550
C. $29.500
D. $30,570
Answer: $29500
Step-by-step explanation:
Given the information from the question, the net income will be calculated as:
Net sales = Gross profit - sales returns and allowances
= $50000 - $6,000
= $44000
Gross profit = Net sales - Cost of goods sold
= $44000 - $10000
= $34000
Net income = Gross profit - Operating expense
= $34000 - $4500
= $29500
Pls help
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Answer:
d po yung answer
Step-by-step explanation:
sana makatulong
plot 7/8 and 2 1/4 on a number line
The given fractions are plotted on number line as given below.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].
To plot fractions on the number line, follow the steps given below:
Step 1: Draw a number line of a suitable length.
Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.
Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.
Step 4: Starting from the left point, count forward the number of parts shown by the numerator.
Step 5: Mark the point on the line.
Hence, the given fractions are plotted on number line as given below.
Learn more about the number line here:
https://brainly.com/question/13425491.
#SPJ2
Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.
(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
Kevin and Doreen each made a fruit salad. The amounts of ingredients they have are shown. Kevin used all of the strawberries, blueberries, and melon to make his fruit salad. Doreen made 2 cups of fruit salad containing all of the bananas, peaches and apples. How much fruit salad did Kevin make? How much more fruit salad did Doreen make than Kevin?
Answer:
The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.
The function represented by the table is
y = 0.25x
Then, as Mandie is making 15 glasses of fruit salad, we have:
y + x = 15
We have two equations and two unknowns that we must solve.
y = 0.25x
y + x = 15
Resolving
For x:
0.25x + x = 15
1.25x = 15
x = 15 / 1.25 = 12
For y:
y = 0.25x = 0.25 (12) = 3
Answer
The ratio of grapes to blueberries she should use is 12: 3
Which expression is shown on the number line?
Answer: i think its e
Step-by-step explanation:......
Answer:
no.A 5/3÷×1/3 is the answer
you buy rice at $0.71 a pound a batch requires 4 pounds or rice how much is one batch
Answer:
$2.84 for one batch
Step-by-step explanation:
$0.71 x 4 = $2.84
Answer:
$2.84 for one batch
Step-by-step explanation:
I know this how you ask? $0.71 x 4 = $2.84
?????????????????????????
Answer:
Interest earned = $32.835
Step-by-step explanation:
Given the following data;
Principal = $275
Number of times = 0.5
Interest rate = 2.9% = 0.029
Time = 4 years
To find the interest earned, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 275(1 + \frac{0.029}{0.5})^{0.5*4}[/tex]
[tex] A = 275(1 + 0.058)^{2}[/tex]
[tex] A = 275(1.058)^{2}[/tex]
[tex] A = 275(1.1194)[/tex]
A = $307.835
Interest earned = 307.835 - 275
Interest earned = $32.835
Write ONLY your numeric answer. You do not need the degree symbol.
B
E
310
D
с
Find mZDEC.
Answer:
118
Step-by-step explanation:
All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62
180 - 62 = 118
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
What is the value of x?
A) Impossible to determine
B)62°
C)56°
D)76°
Need help like Right now
Simplify the expression
6:3x4
Answer:
8
Step-by-step explanation:
6:3=2
six divided by three equals four (hence the ratio)
2*4=8
two times four equals eight.
Solve for x in the triangle below. Round your answer to the nearest tenth. Help please
Step-by-step explanation:
sin theta =p/h
sin 42=x/13
0.66×13=x
x=8.69
stay safe healthy and happy.large pies cost $5 and small pots cost $2. If $45 pies were sold for $120 how many small pies were sold
Answer:
I'm assuming that's supposed to just be 45, not $45
Step-by-step explanation:
35 small pies were sold
10 large pies = $50
35 small pies = $70
50 + 70 = 120
A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
make k the subject of the relation ky-k=y^2
Step-by-step explanation:
ky - k = y^2
ky - k ÷ y = y^2 ÷ y
k = y
10
1 point
Solve the system of linear equations. Check your solution.
2x+y = 3
X-y= 3
Solution type your answer...
type your answer...
Answer:
x = 2, y = -1.
Step-by-step explanation:
2x + y = 3
x - y = 3
Adding the 2 equations eliminates y:
3x = 6
x = 2.
Substitute for x in the first equation:
2(2) + y = 3
y = 3 - 4
y = -1.
Check the results by substitution in equation 2:
2 - (-1)
= 2 + 1 = 3 .
Checks OK.
HELP
What is the equation of the trend line in the scatter plot ?
what percent of 160 is 56?
Answer:
35%
Step-by-step explanation:
[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]
larry runs his heater when the temperature, t is no more than 70f
A- t<70
B- t>70
C t ≤ 70
D t ≥ 70
Answer:
its d i think bc i had that on my quizz
Step-by-step explanation:
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Answer:
A.
Step-by-step explanation:
It's the closest one to the answer, The answer I got is - 4;2
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.
Help pls.......asap i have 2 minuets
Answer:
It would be 3 1/2!
Step-by-step explanation:
Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!
Answer:
( 3, 3.5) or 3 1/2
Step-by-step explanation:
The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).
A line that includes the point (1,8) has a gradient of 2. What is its equation in
gradient-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
ere to search
O
acer
Answer:
y=2x+6
Step-by-step explanation: y=mx+b
substitute in known values y=2x+b gradient is 2 (given)
substitute in coordinate values (1,8) 8=2(1)+b
solve for B 8=2+b
-2 -2
6=b
therefore the answer is y=2x+6
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
52
Step-by-step explanation:
break down the shapes into simpler ones
do base X height for both
add both
Answer:
52cm^2
Step-by-step explanation:
Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2