Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so
[tex]\frac{b+10}{b}=\frac{7}{5}[/tex]
"Cross multiply" to get
[tex]7b=5(b+10)\\7b=5b+50\\2b=50\\b=25[/tex]
There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!
The equation of a parabola is y=x^2–4x+13. Write the equation in vertex form.
Simplify any fractions.
Answer:
y = (x - 2)² + 9
Step-by-step explanation:
To obtain the equation in vertex form use the method of completing the square.
Add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 13
= (x - 2)² + 9 ← in vertex form
Answer:
vertex form : y=(x-2)^2+9
Step-by-step explanation:
To convert a parabola from standard form y=x^2-4x+13 to vertex form, we complete the square.
first, complete the square using the x-terms, use the constant term to adjust and make a perfect square.
y= x^2-4x+4 + 9
Factor the first three terms on the right-hand side.
y=(x-2)^2 + 9
the resulting express is then the vertex form, which means that
the vertex is at (x-2) = 0, x=2, and at y=9.
Find the value of r.
Answer:
r = 10.5
Step-by-step explanation:
using the Pythagorean theorem:
(7 + r)² = 14² + r²
49 + 14r + r² = 196 + r²
subtract r² from both sides of the equation:
14r + 49 = 196
subtract 49 from both sides:
14r = 147
divide both sides by 14:
r = 10.5
Use the Law of Cosines to find a. Round answer to the nearest tenth
Answer:
Step-by-step explanation:
Write an equation of the line below ?
Answer:
-2/6 x -2
Step-by-step explanation:
the slope is -2/6 and y int is -2
Which operation would be last when solving the inequality -5x + 9 < -6
Answer: divding both sides by -5
Step-by-step explanation:
Subtract 9 from both sides.
−5x+9−9<−6−9
−5x<−15
Step 2: Divide both sides by -5.
−5x/−5<−15/−5
x>3
Need help !
Is it linear , quadratic, exponential
Answer:
Exponential
Step-by-step explanation:
So lets look at the table.
When x = 1, y = 3
When x = 2, y = 9.
Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.
So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.
This leaves exponential or none of the above.
When x = 3, y = 27
When x = 4, y = 81
This seems like a exponent, since:
3 to the first power is 3
3 to the second power is 9
3 to the third power is 27
and 3 to the fourth power is 81
Answer:
exponential function
Hope this helps! ;)
HELP!!! PRECALC Continuity problem, will give brain liest, thank you!!!
Answer:
Go to algebraic calculator
Step-by-step explanation:
Then go to Microsoft calculator it has everything
brainliest?
The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an award?
Answer:
74
Step-by-step explanation:
To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.
What is the volume of the figure down below?
Answer:
C is correct....
Good Luck!!!
Answer quickly!!!!!!!!
Answer:
c: 8 i'm sure
Step-by-step explanation:
Because we count where the line stops is 8 squares which means it's 8
A triangle is formed by A(0,1), B(1,0), and C(2,4). If the triangle is rotated 90 degrees counterclockwise, which algebraic representation would be used? Select one:
0 (2, y) + (-1, - y)
O (, y) + (y, - 2)
0 (2,y) → ( - 1, y)
0 (2,y) → ( - y, z)
Answer:
[tex](x,y) \to (-y,x)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,1)[/tex]
[tex]B = (1,0)[/tex]
[tex]C = (2,4)[/tex]
90 degrees counterclockwise rotation
Required
The algebraic representation
Let the coordinate point be [tex](x,y)[/tex]
The rule of 90 degrees counterclockwise rotation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex]A = (0,1)[/tex] [tex]\to (-1,0)[/tex]
[tex]B = (1,0)[/tex] [tex]\to (0,1)[/tex]
[tex]C = (2,4)[/tex] [tex]\to (-4,2)[/tex]
Help me please! Only if you know:)
Answer:
a,b,c,d
Step-by-step explanation:
ajjskakskskkdkdks
please help me
( will give brainliest )
any links or websites commented will be reported !
Write and graph the inverse variation in which y = 12 when x = –4. URGENT!!!!!!!
[tex]12=\frac{k}{-4} \\k = -48[/tex]
Therefore: [tex]y=\frac{-48}{x}[/tex]
kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying the coffee, she had $39.24 left on her card. how many pounds of coffee did she buy?
What value of x makes the 2 triangles congruent by HL? Find the length of CB
Step-by-step explanation:
here's your solution
==> Both traingle are congruent
==> BC = BD. [ c.p.c.t ]
==> x + 8 = 3x - 14
==> x - 3x = - 14 - 8
==> - 2x = - 22
==> x = 22/2
==> x = 11
now CB = x + 8 = 11 + 8
CB = 19
hope it helps
Can anyone help please and thanks
Answer:
7.02 ft
Step-by-step explanation:
Tan=opposite/adjacent
Tan(78)=x/33X×Tan(78)=334.70x=33do 33 divided by 4.70then you'll get 7.02 if your calculator is on Radian in modeAnswer:
7.02 ft
hi
your welcome have a good
day
Step-by-step explanation:
Using the box plot of quiz scores below, what percent age of students scored above 85?
Answer:
that would be B.
Step-by-step explanation:
its at the end and it is only 25% of it there is no way it could be 75% or 50% so the best choice would be 25% B
Write the equation of a line that has a slope of 1 that passes through the point (2,4)
Answer:
given slope is 1
and passes through 2,4
y-4=m(x-x1)
y-4=1(x-2)
y-4=1x+2
so-1x+y=2
What is the formula to find the rate of discount when M.P and S.P after discount is given.
Answer:
Selling Price = M.P. – Discount = 100 – 5 = Rs. 95. If S.P. is Rs 95, then M.P. is Rs. 100.
Answer:
mp=sp+d
Step-by-step explanation:
mp- marked price
sp=selling price
d=discount
PLZ HELP I BEG UU !! 50 POINTS AND BRANLIEST>
Answer: 102.5
Step-by-step explanation:
Area of triangle: 8*6=48, 48/2=24
Area of semicircle: 2pir^2=2pi(5)^2=157
Because its semi circle it is 157/2 which equals 78.5
Total area:24+78.5=102.5
Answer:
102.5
Step-by-step explanation:
Semi circle = 78.54 ≈ 78.5
Using formula A = πr²
Area triangle = 24
Using formula A = 1/2(bh)
Sum = 78.5 + 24 = 102.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help ASAP I’ll mark you as brainlister please
Answer:
2 x 2=4 on each side so 4 x 2=8
5 x 2=10
10 x 4=40
Step-by-step explanation:
answer this for points and brainilest
Answer:
e = -2
Step-by-step explanation:
Hey man, I got straight A's in math all year so here's the answer!
Good Luck! :)
Help please .............
Answer:
i believe it would be D
Step-by-step explanation:
Which equation can be used to solve for the value of x?
option : c. 2x + 15 = 145
cuz, the angles are vertical opposite angles
Answer:
2x + 15 = 145
Step-by-step explanation:
vertical angles are congruent
=> (2x + 15)° = 145°
The scatter plot shows the amount of sleep of aria got the night before a test and her test scores. What type of relationship do u see between amount of sleep and test scores?
21/24 x 16/24, guys plz help..
Answer:
g00gle
Step-by-step explanation:
click new tab and type in 21/24 x 16/24
...........................................................
.
Answer:
3hope it help
Step-by-step explanation:
PLS HELP! WILL GIVE BRAINLIST!!!!
The following expression is a polynomial: 3x^2y^2 - 2xy
Part A: Classify the polynomial according to its number of terms. Explain how you know your answer is correct.
Part B: Classify the polynomial according to its degree. Explain how you know your answer is correct
Answer:
It is a trinomal because there is 3 terms
It is a quadratic because the highest degree is x^2
All in all, It is a Quadratic Trinomal
Step-by-step explanation:
Which number has a 3 with a value that is 100 times greater than the value of 3 in 20.342 ?
1) 307.18
2) 423.06
3) 108.173
4) 36.25
Answer:
108.173
Step-by-step explanation: