Answer:
Alexa lost 16 points overall
Step-by-step explanation:
To determine whether Alexa had a net receipt or loss of points, we will fine the total points received or lost, and find the difference:
points lost:
3 point for each of the 7 questions she answered wrong
lost point = 3 × 7 - 21 points
Points received:
5 points for answering a bonus question
point received = 5 point
The points lost (21) is greater than the points received (5), hence, there was a net loss. The net loss is calculated as follows:
points lost - points received
= 21 - 5 = 16
∴ Alexa lost 16 points overall
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?
Answer:
A scale of fivce hundred should be the correct answer
Step-by-step explanation:
Answer:
1cm=50km
Step-by-step explanation:
325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.
Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?
Answer:
$792 last week's commission.
$41,184 for 2011
Step-by-step explanation:
11% of 7200 is = $792
$792 times 52 weeks in a year is $41,184
1092 in exponential form
Answer:
1.092 × [tex]10^{3}[/tex]
I hope this helps!
Answer:
1.092×10^3 is the answer .hope this helps
(0, -19), (20, 15)
I am having trouble
Answer:
-38285
Step-by-step explanation:
this is what my calculator told me
sorry but ask someone else
I don´t know what slopes are
so sorry
help plzzzzzz it should be easy
Answer:
uh
Step-by-step explanation:
l
Answer
1.< 2.>
Step-by-step explanation:
1. 9x4/5= 7.2<9
2. 4x6/5= 4.8>4
I need help please help me.THANKS!!
Answer:
A. 42, 120, 162
Step-by-step explanation:
27 x 6 = 162
or
42 + 120 = 162
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
Learn more about fraction on:
brainly.com/question/9695343
#SPJ6
Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 is 20% of the total students
60/20 = x/100
x= 60*100÷20
x= 6000÷20
x= 300
Therefore there are 300 students.
What is the answer to this question because I can’t understand it
Answer:
you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!
Answer:
(x-11,y-12)
Step-by-step explanation:
If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)
Answer:
ppap
Step-by-step explanation:
fhfhhffhff my name is denish paudyal
Answer:
7 - 5i
Step-by-step explanation:
complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then
7 - 5i is also a zero
Raise to the power:
[tex](-3y)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]
[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The total cost for tuition plus room and board at State University is 6,584
dollars. Tuition costs 1804 dollars more than room and board. What is the
tuition fee?
Answer:
$4,194
Step-by-step explanation:
First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.
Someone help ASAP
I don’t understand
Answer:
[tex]\sqrt{49}[/tex] and 1/4 are rational numbers
Step-by-step explanation:
others are not rational numbers because the decimals goes on forever.
Ex. [tex]\sqrt{7}[/tex]=2.64575.....
4/9=0.444444444...
pi goes on forever
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
Simplify the expression: 3(q + 11) - 4
Answer:
8
Step-by-step explanation:
I WILL MARK AS BRAINLIEST!!!!
Answer:
1. 795, 23
2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins
3. $276, 71 cars
Step-by-step explanation:
1. your equation: y = 35x + 235
plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235
you get y = 795
for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x
your equation: 1024 = 35x + 235
solve to get x = 22.54
this rounds up to 23, so your answer is 23
2. multiply 8 times 4 to get 32
subtract 32 from 82 to fin how many she has left
you get 50
for the second part, divide 82 by 4 to find how many day it will take to finish her candy
you get 20.5
so no, she will not have candy to share with her cousins, and she will finish her candy on November 21
3. for this, you have a negative y intercept since you need to make $24 to start profiting
your equation: y = 6x - 24
plug in 50 to x: y = 6(50) - 24
you get y = 276
so you make $276 with 50 cars
for the second part, plug in 400 to y: 400 = 6x - 24
solve to get x = 70.66
this rounds up to 71, so your answer is 71
Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?
Answer: $8.48
Step-by-step explanation: 8x.06 = .48 +8 = $8.48
the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle
Answer:
[tex]16\frac{2}{3}[/tex]cm
Step-by-step explanation:
Given dimensions:
[tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm by [tex]5\frac{2}{3}[/tex] cm
The total length:
it is the sum of all the sides;
[tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]
LCM of the denominators = 6 ;
[tex]\frac{38 + 28 + 34}{6}[/tex] = [tex]\frac{100}{6}[/tex]
= [tex]\frac{50}{3}[/tex]
= [tex]16\frac{2}{3}[/tex]cm
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
Factoring trinomials
Select two for each
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors.
1.) x^2+4x+3= (x+1) (x+3)
2.) x^2-2x-99 = (x+3) (x-11)
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.
What is the probability that both will be girls?
Answer:
5/24 or 20.8%
Step-by-step explanation:
Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2
Probability that the 8th grader is a boy = 5/(5+7) = 5/12
Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%
What is the solution to the equation 5x−2=2x+13
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5x-2=2x+13
-2x -2x
3x-2=13
+2 +2
3x=15
divide 15 by 3.
The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?
Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.
Answer:
shes so wrong
Step-by-step explanation:
6+14=20+19=39+11=50
100/50=2
6x2=12
12%
16) The zero of a polynomial ax+b (a is not zero) is
a/b
b/a
-a/b
-b/a
Answer:
x = - [tex]\frac{b}{a}[/tex] ( a ≠ 0 )
Step-by-step explanation:
To find the zero, let the polynomial equal zero, that is
ax + b = 0 ( subtract b from both sides )
ax = - b ( divide both sides by a )
x = - [tex]\frac{b}{a}[/tex]
3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.
s +10 = 25.
There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?
Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?
Write the equation in Standard Form.
72 = 2 – 4y
Answer:
seventy-two equals two minus four times
Step-by-step explanation:
Answer:
72x+4y=2
Step-by-step explanation:
What is the least common multiple of 6 and 8?
Answer:
2
Step-by-step explanation:
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?