Answer:
5
Step-by-step explanation:
1. Factorise
[tex] {x}^{2} - 2x - 24[/tex]
2. Factorise
[tex] {x}^{2} + 5x + 6[/tex]
Answer:
1.x}^{2} - 2x - 24
x²- 2x+1²-1²-24
(x-1)²-25
(x-1)²-5²
(x-1+5)(x-1-5)
(x+4)(x-6)
Step-by-step explanation:
2.
{x}^{2} + 5x + 6
x²+3x+2x+6
x(x+3)+2(x+3)
(x+3)(x+2)
5
Which expressions are equivalent? Select all that apply.
A 3(x + 2) + 4x and 7x + 6
<
B 2(x + 3) + 2x and 4x + 3
C -2 + 4(x + 3) and 4x + 10
D 3x + 5(x-1) and 8x-5
E
5x - 2(x + 4) and 3x + 8
F
4 - 5(x + 2) and 5x-6
Answer:
A
Step-by-step explanation:
3(x+2)+4x=3x+6+4x=7x+6
According to the Bureau of Labor Statistics, preschool teachers earn _______________ per year with an associate's degree, and the job growth is projected at ________ per year.
a. $18,575, 10 percent
b. $28,990, 3 percent
c.m$28,990, 10 percent
d. $24,990, 3 percent
Picture attached on the file
Answer:
89/3
Stp/lanation:
6. What is the greatest common factor of the following expression? *
15y3 – 40y
Answer:
I'm not sure what 15y3 is, but I'll take a guess.
If the only numbers are 15, 3, and -40, then the greatest common factor is 1.
If the only numbers are 15 and 3, then it's three.
If the only numbers are 15 and -40, it would be 5.
Six friends had lunch together and decided to spilt the bill evenly, If the bill was 48.60 what was everyone’s share?
Answer:
8.1
Step-by-step explanation:
48.6 / 6 is 8.1 .
The amount of money each friend is required to contribute is $8.1.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Six friends had lunch together and decided to spilt the bill evenly.
As they have split the bill evenly,
The amount of money each friend needs to contribute can be obtained by dividing the total amount by the total number of friends which is,
= $(48.6/6).
= $8.1
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what would the answer be?
Answer:
(180-50) ÷ 2=x
130 ÷ 2 =65
x = 65
65
Step-by-step explanation:
THe angle of a triangle is always 180
take the 50 do
180-50= 130
130/2=65
x=65
Draw the number line to represent.
Whole numbers which can divisible by 2 and 4 between 28 and 48.
Answer:
Mas não reconhecida como a face da sua vida
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Given ---AB || ---RS Prove: QA/QR = QB/QS
The prove for QA/QR = QB/QS is shown below.
What is Similarity of Triangles?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
1) Given
2) <Q is congruent to <Q
by reflexive property of congruence
3) <QBA is congruent to <QSR
by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR
by AA theorem
5) QA/QR=QB/QS
by CPSP (corresponding parts of similar polygons are proportional)
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pls help me it is important
Answer:
pls help me too
Step-by-step explanation:
You rent an apartment that costs $1400 per month during the first year, but the rent
is set to go up $180 per year. What would be the monthly rent during the 5th year of
living in the apartment?
The rent in the 5th year is $2120.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. We can find the amount regularly increasing by using arithmetic.
As per the given data:
Cost of the apartment per month during the first year is given, also the increase in rent every year is given.
We have to find out the monthly rent during the 5th year of living in the apartment.
For finding out the monthly rent during the 5th year of living in the apartment:
Rent in first year + Increase in rent in each year × (5 - 1)
= 1400 + 180 × 4
= 1400 + 720
= $2120
The rent in the 5th year is $2120.
Hence, The rent in the 5th year is $2120.
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which equation represents the line on the graph?
find the missing length indicated
Mike has a 32 ounce drink. He drinks 8 ounces. Select the percent of ounces Mike has left from his drink
Answer:
75%
Step-by-step explanation:
the percentage amount of the drink that mike drank is calculated by dividing the total drink by the amount drank. In this case that is 8/32 which gives us 0.25 or 25%.
In order to find the amount Mike has left you simply subtract the amount drank from the 1 as 1 is equal to 100% or the amount mike had at the begining. In this case 1-0.15= 0.75 or 75%.
OR
you can also solve this by subtracting tha amount drank by the total then dividing the remaining drink by the total amount of the drink. In this case that would look like:
32-8= 24
24/32= 0.75
The ratio of the number of girls in the sixth grade to the number of boys is 7:3. There are a total of 450 girls and boys in the sixth grade. How many boys are in the sixth grade?
PLz, help I really don't understand these problems at all.
Click here to see the screenshot
Answer:
1. $65,000
2. A 4 and 2 mile hike
3. B 4.00
4. C multiplication
Step-by-step explanation:
if i buy 6 pencils for $5.64 how much do they cost per pencil
Answer:The answer is 0.94 cent each
Step-by-step explanation:
if you divide 5.64 into 6 it will give you the conclusion 0.94 for eache pencil.
Sammy has a number cube (dice). Calculate the following: What are the
odds against rolling an odd number?
Answer:
3/6 or 1/2.........................
Answer:
The probability is
5
6
.
Explanation:
Probability is
d
e
s
i
r
e
d
a
l
l
Let's find the possible outcomes of rolling odd.
1,3,5 are all odd. We have 3 outcomes.
Now find the possible outcome of a power of 2.
2 is
2
1
, 4 is
2
2
. We have 2 DIFFERENT outcomes.
(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)
Now, we find the total number of possible outcomes.
A dice has 6 different outcomes.
Now add up the desired outcomes,
3
+
2
=
5
and so the probability is
5
6
Convert the following equation into slope intercept form. 3x + 21y = 21 Stars
Answer:
y = -(1/7)x + 1
Step-by-step explanation:
[tex]3x + 21y = 21 \\ 21y = 21 - 3x \\ y = \frac{21 - 3x}{21} \\ y = 1 - \frac{1}{7} x \\ y = - \frac{1}{7} x + 1[/tex]
SOLVE
r(s 2) (t) when r = 2, s = 3, and t = 5
pls help
Answer:
320 or 40 sorry if I´m wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
2(3*2)(5)
2*3*2=24
24*5=120
Victim but jeans on sale for $60 the silver 20% off what was the original price of the
Answer: i beleive $72
Step-by-step explanation:
Which is the correct equation for a line that has a slope of 2 and passes through the point (-1, -5). Use the graph below or graph paper if needed.
PLEASE HELP ASAP
A.y = 2x - 5
B.y = 2x + 5
C.y = 2x - 3
D.y = 2x + 3
9514 1404 393
Answer:
C. y = 2x - 3
Step-by-step explanation:
The y-intercept (b) can be found from ...
y = mx + b
y - mx = b . . . . . subtract mx
Here, you are given (x, y) = (-1, -5) and slope m = 2.
b = -5 -2(-1) = -5+2 = -3
The correct equation is ...
y = 2x -3 . . . . . matches choice C
_____
On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.
Cody earned $8 for each dog he walks. He also earns $10 for doing chores at home. What will Cody earn if he walks 1, 2, or 3.
Answer:
If he walks 1 dog he will make 8$ if he walks two dogs he will earn 16$ if he walks 3 dogs he will make 24$
one year the population of a city was 292000 now its 289080 find the percent decrease
Answer:
1%
Step-by-step explanation:
[tex] \frac{292000 - 289080}{292000} = 0.01 = 1\%[/tex]
Answer:
1%
Step-by-step explanation:
ok
According to the rule of 72, in about how many years will $80 be worth $40 if the rate of inflation is 3%? A. 6 years B. 12 years C. 48 years D. 24 years
Answer:
24 years answer is D
Step-by-step explanation:
PLEASE HELP ME!!! WILL GIVE BRAINLIEST!! TELL ME IF IM CORRECT!!
Answer
x=0,5
Step-by-step explanation:
Work out the fraction that is halfway between 1/2 and 1 1/4
Answer:
The fraction that is halfway between 1/2 and 1 1/4 is: 5/8
Step-by-step explanation:
Given the fractions
1/2 and 1 1/4
In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.
1)
Add the numbers
[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]
as 1 1/4 = 3/4, so
[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]
Apply fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{2+3}{4}[/tex]
[tex]=\frac{5}{4}[/tex]
2)
Divide by 2
[tex]\frac{5}{4}\div \:2[/tex]
Convert element to fraction: [tex]2=\frac{2}{1}[/tex]
[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]
Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{5}{4}\times \frac{1}{2}[/tex]
Multiply fractions: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{5\times \:1}{4\times \:2}[/tex]
[tex]=\frac{5}{8}[/tex]
Conclusion:
Therefore, the fraction that is halfway between 1/2 and 1 1/4 is: 5/8
Which is the solution to the system below x=-4y+10 x=2y-14
Answer:
too many equal signs
Step-by-step explanation:
3. Find the value of a and b when
5+√6/5-√6 = a+b√6
The answer for A is,
[tex]a = 5 + \frac{ \sqrt{6} }{ \sqrt{5} } - \sqrt{6} - \sqrt{6b} [/tex]
And the answer for B is,
[tex]b = - 1 + \frac{5 + \frac{ \sqrt{6} }{ \sqrt{5} } - a }{ \sqrt{6} } [/tex]
hope it helps.
sorry of its wrong.