Answer:
The correct answer is 10.99
Step-by-step explanation:
Took the test but I am too lazy to post a ss
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
cube root of 0.064
a) 4
b) 0.04
c) 0.4
d) 0.004
Answer:
Option C. 0.4
Step-by-step explanation:
Given data
0.064
We are required to find the cube root of the above number
The cube root is also expressed mathematically as
= ∛0.064
= 0.4
Hence, the answer is option C 0.4
9x2 - 52x + 33 = -10x - 16
Quadratic Equation
Answer:
x=7/3 or x=2.33
Step-by-step explanation:
9x^2 - 52x + 33 = -10x - 16
Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.
Add 10x+16 on both sides of the equation, and simplifying.
9x^2 - 52x + 33 + 10x + 16 = -10x - 16 + 10x + 16
9x^2 - 42x + 49 = 0
Guess What! This equation is a Perfect Square Trinomial.
For a Perfect Square Trinomial, you will be able to take the square root of the first and third terms, and the coefficient of the second term will be twice the square root of the third term. The “sign” of your second term in your answer will be the same as the linear term sign.
So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0
So, we can rewrite this as (3x - 7)^2=0
Now, To solve, We can set each factor equal to 0, and solve.
*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*
Add 7 on both sides.
3x - 7 = 0
+7 +7
----------------
3x=7
Divide by 3 on both sides.
3x/3 = 7/3
x=7/3
As a decimal: 2.33...
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
A rectangular piece of land measures 250 m by 220 m. Each side is to be fenced with 3 rows of wires. What is the length of the wire needed?
Answer:
2,820 m
Step-by-step explanation:
Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.
The perimeter p of a rectangle of length l and width b is given as
p = 2(l + b)
Hence p = 2( 250 + 220)
= 2 * 470
= 940 m
Since each side is to be fenced with 3 rows of wires, the length of wire required
= 3 * 940m
= 2,820 m
Determine whether the following graph represents a function.
Answer:
yes the graph represents a function
Step-by-step explanation:
plz mark me brainliest
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
f(x) = |x - 3| + 2
g(x) = |x + 1| - 5
Ms lebea, is a grade 10 mathematical literacy teacher at nkami high school gave learners a test out of 70 marks. She has 60 learners in her class and 35 are girls..
1.1 determine the number of boys in the classroom.
1.2 calculate the number of girls as a percentage of total learners in the classroom
1.3 what will be the ratio of girls to boys in the classroom.
1.4 calculate the actual pass mark of the test, if the pass percentage is 30% for the test
Answer:
1.2)60-35=25
therefore there are 25 boys in the class
1.2)35/60×100=58.333%
1.3)35:25
7 : 5
Which expression is equivalent to -5(1+7x)+3(3+4x)
Answer:
0(2+14x)+6(6+8x)
Step-by-step explanation:
ANSWER FAST ITS DUE IN AN HOURRRRRR
Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale
Answer:
70
Step-by-step explanation:
6x5=30
8x5=40
40+30=70
Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?
Answer:
Mutually Exclusive
Dependent
Step-by-step explanation:
Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).
Hence, this is MUTUALLY EXCLUSIVE.
Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).
Hence, this is DEPENDENT.
ach case:
(ii) (+5) + (+2)
(v) (-5) + (-2)
(viii) (+6) + (-3)
(xi) (-4) + (+8)
illustrate each of th
Answer:
Step-by-step explanation:
(+5) + (+2) = +7
If both numbers have same sign, add and the result will have the common sign
v) (-5) + (-2) = (-7)
Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'
Viii) (+6) + (-3) = +3
Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign
xi) (-4) + (+8) = +4
Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign
Chris works at a local hardware store where she earns a weekly salary of $150 and a 3% commission on all sales this week she sold $1500 worth of products
Answer:
Commission is $45.00
Weekly salary was $150.00 + $45.00
She earned $195.00 for her paycheck
Step-by-step explanation:
which is the correct expression of (2x+3) (2x^2-5)
:
:
:
A distance of 5 units is best described by the distance between the —
Answer:
c and d
Step-by-step explanation:
WILL MARK BRANIEST IF ITS RIGHT PLEASE HELP ME I HAVE BEEN STUCK ON THIS QUESTION (note for the problem look at picture 1 for your answer choices look at picture 2.
Answer:
I think B is right answer
Triangle QRS has the following vertices - Q (-1, 1), R (1, 3), S (3, 1). Triangle QRS is translated 2 units right and 3 units down. What are the correct vertices of the translated triangle?
A
Q' (-1, 5), R' (1, 3), S' (3, 5)
B
Q' (-4, 3), R' (-2, 5), S' (0, 3)
C
Q' (1, -2), R' (3, 0), S' (5, -2)
D
Q' (1, -1), R' (-1, -3), S' (-3, -1)
The answer is number C
:)
What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2
Answer:
y = 2x - 5
Step-by-step explanation:
Put it in point-slope form:
y + 7 = 2(x + 1)
y + 7 = 2x + 2
y = 2x - 5
Which is the solution to the inequality?
2 3/5
Will give you Brainiest
Answer:
the third one
Step-by-step explanation:
basically b<47/15 =>
b<3* 2/15
A pachyrhinosaurus weighed approximately 4 tons and( traveled in herds but that does not matter)what would the weight of 8 pachyrhinosaurus have been in pounds?
Answer: [tex]70,547.84\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
The weight of a Pachyrhinosaurus is 4 tons
We know, [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]
[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]
Simplify.
(-2)^-3
A.) 8
B.) 1/8
C.) -8
D.) - 1/8
Answer:
D. -1/8
Step-by-step explanation:
Which equation of a line passes through the points (-5,2) and (0,7)?
Answer:
I think the answer will be Y=X+7
Answer:
y=x+7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-2)/(0-(-5))
m=5/(0+5)
m=5/5
m=1
y-y1=m(x-x1)
y-2=1(x-(-5))
y-2=x+5
y=x+5+2
y=x+7
ill mark u brainliest
Answer:
The slope represents the number of cookies sold for each dollar.
Answer: it is C
Step-by-step explanation: each point is a number boxes sold and some profit
What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)
2/3
3/4
1/2
1
Answer:
23 and - 16 are the coefficients
Step-by-step explanation:
(giving brainiest)
real quick one should take someone around 5-7-10 minutes it really depends!
Answer:
Step-by-step explanation:
E
The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?
Answer:
First number = 75.5
Second number = 45.5
What is 7/2 divided by 5/4?
HURRY UP PLZ!!
Answer:
[tex] \frac{14}{5} [/tex]
Step-by-step explanation:
1) Use this rule : a ÷ b/c = a × c/b.
[tex] \frac{7}{2} \times \frac{4}{5} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{7 \times 4}{2 \times 5} [/tex]
3) Simplify 7 × 4 to 28.
[tex] \frac{28}{2 \times 5} [/tex]
4) Simplify 2 × 5 to 10.
[tex] \frac{28}{10} [/tex]
5) Simplify.
[tex] \frac{14}{5} [/tex]
Therefor, the answer is 14/5. And is decimal form it would be, 2.8.
HElppppp will mark brainlest!!!!!!
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.
Find the value of x in the triangle shown below.
15
х
9
Answer:
x=12
Step-by-step explanation:
[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]
[tex]x^{2}[/tex]=225-81
[tex]x^{2}[/tex]=144 /sqrt
x=12
In an office, there are 75 women and 125 men .Find the ratio of
the number of men to the number of women.
Given:
In an office, there are 75 women and 125 men.
To find:
The ratio of the number of men to the number of women.
Solution:
We have,
Number of men = 125
Number of women = 75
The ratio of the number of men to the number of women is:
[tex]\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}[/tex]
[tex]\text{Required Ratio}=\dfrac{125}{75}[/tex]
[tex]\text{Required Ratio}=\dfrac{5}{3}[/tex]
[tex]\text{Required Ratio}=5:3[/tex]
Therefore, the ratio of the number of men to the number of women is 5:3.