Answer:
1060
Step-by-step explanation:
Given:
No. of boys = 870
No. of girls = 800
Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]
Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]
the number of boys in the school who study Spanish :
[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]
the number of girls in the school who study Spanish :
[tex]\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480[/tex]
Therefore, total number of students who study Spanish would be :
480+580=1060
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3
Answer: [tex]y \leq \frac{1}{2} x+3[/tex]
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]
Answer:
B
Step-by-step explanation:
Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.
Answer:
Equation of a line y = mx + c
m = slope
m = 2
Using point ( -4,3)
Equation of the line is
y - 3 = 2(x +4)
y - 3 = 2x + 8
y = 2x + 8 + 3
y = 2x + 11
Hope this helps.
Answer:
B. Y = 2x + 11
Step-by-step explanation:
Got it right on edg.
Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?
Answer:
B
Step-by-step explanation:Communative property.
The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.
Answer:
(x+1)(x-3)
Step-by-step explanation:
We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.
Answer:
(x+1) (x-3)
Step-by-step explanation:
(x+1)=0
x=-1
(x-3)=0
x=3
solutions are (-1, 3) we put -1 first because x always comes before Y value.
Please mark me as brainliest. I need to rank up.
Which of the following choices are equivalent to the expression below ? √-27
Answer:
E. 3i√3
Step-by-step explanation:
√-27 is √27 times √-1
√-1 is i, so i√27
√27 = 3√3, and then we have:
3i√3 as our answer
A wedding ring costs £13000. Work out the price after a 11% price increase.
Answer:
£ 14,430
Step-by-step explanation:
Costing Price = £13,000
Increase = 11% of 13000
=> 11/100 × 13000
=> 11 × 130
=> £ 1430
Increased Price = 13,000+1430
=> £ 14,430
what is( 7^4 * 9^-3 +7^5 * 9^-4) / 7^4 * 9^-4
Answer:
3.7168917E-7
Step-by-step explanation:
Answer:
3.7168917E-7
Step-by-step explanation:
Help If anyones awake
Last option is the correct answer
Answer:
ASA Postulate
Step-by-step explanation:
[tex] In\: \triangle TKS\: \& \: \triangle TLR\\
\angle 1 \cong \angle 2....(given) \\
TK \cong TL... (given) \\
\angle 3 \cong \angle 4....(given) \\
\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]
Answer:
First option is the correct choice.
Step-by-step explanation:
AAS theorem applies here to prove the claim.
Best Regards!
How many terms are in the expression 5m2 - mn + 4n + 7?
Simplify 11(2x + 3).
Answer:
4 terms
22x+33
Step-by-step explanation:
1. You count 1, 2, 3, 4 because there are no like terms to combine
2. you can use the distributive property to multiply the terms
(2x times 11) plus (3 times 11)
Answer:
4 terms; 22x + 33
Step-by-step explanation:
5m2 - mn + 4n + 7:Expressions are made out of terms. A term can be a number, a variable, or a mixture of them. They are either added or subtracted.
In 5m2 - mn + 4n + 7, the terms are:
5m2mn4n7There should be 4 terms in the expression.
11(2x+3):[tex]11(2x+3)\\\text{Distribute.}\\\\11*2x=22x\\11*3=33\\\\11(2x+3)=\boxed{22x+33}[/tex]
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
-----------
aₙ₋₂= aₙ₋₁ - aₙ + 4
a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6The first 3 terms: 6, 10 and 8
Solve for n.
11(n-1) + 35 = 3n
on=3
Answer:
n=-3solution,
[tex]11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
N= -3
Step-by-step explanation:
It makes sense
HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
[tex]y = \frac{k}{ {x}^{2} } [/tex]
[tex]let \: x = 7 \\ let \: y = 3[/tex]
[tex]3 = \frac{k}{ {7}^{2} } [/tex]
[tex]3 = \frac{k}{49} [/tex]
[tex]3 \times 49 = k[/tex]
[tex]k = 147[/tex]
[tex]y = \frac{147}{ {x}^{2} } [/tex]
Next, you have to substitute the y value into the equation to find x :
[tex]let \: y = 18.375[/tex]
[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]
[tex]18.375 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{18.375} [/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = ± \sqrt{8} [/tex]
[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]
a number between 891 and 909 that is divisible by 10
Answer:
[tex]900[/tex]
Step-by-step explanation:
[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]
Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13
Answer:
10
Step-by-step explanation:
( 2 + 3 ) × 2
5 × 2 = 10
Answer:
10
Step-by-step explanation:
(a+b)2
(2+3)2
5(2)
10
Mo is wrapping a gift in a rectangular box for his mother. What is the surface area of the box Mo needs to wrap?
Answer:
The perimeter of the rectangular box.
Step-by-step explanation:
Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)
Answer:
7 bottles
Step-by-step explanation:
Christie needs to buy at least 45 fluid ounces of milk at the store.
33.8 fluid ounces=1 Liter
1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters
45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]
Now:
1 Liter =1000 Milliliter
Therefore:
1.3313 Liter= 1000 X 1.3313 Milliliters
1.3313 Liter= 1331.3 Milliliter
Therefore, the smallest number of 200 milliliter bottles Christie must buy is:
[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]
Answer:
7
Step-by-step explanation:
Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)
Find the sum of 9c3d, 6c3d, and -7c2d2.
Answer 15c3d−7c2d2
Step-by-step explanation:
What is the simplified form of the given expression?
(4.2 x 103)(2.6 x 104)
A. 1.092 x 106
OB.
B. 1.092 x 107
C.
1.092 x 108
D. 1.092 x 1012
Answer:option A
(4.2✖️10^3)(2.6✖️10^4)
4.2✖️2.6✖️10^3✖️10^4
10.92✖️10^3+4
10.92✖️10^7
10.92✖️10✖️10^6
1.092✖️10^6
Step-by-step explanation:
I hope this will help you:)
Answer:
1.092 x 10^8
Step-by-step explanation:
(4.2 x 10^3)(2.6 x 10^4)
Multiply the numbers
4.2* 2.6 =10.92
Add the exponents
10^3 * 10 ^4 = 10 ^(3+4) = 10^7
10.92 * 10^7
But this is not scientific notation, there can only be one digit in front of the decimal
Move the decimal one place to the left and add one to the exponent
1.092 * 10 ^(7+1)
1.092 x 10^8
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
Answer:
D
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4 + 6 > 9
Yes, these lengths can form a triangle.
3 + 4 > 2
Yes, these lengths can form a triangle.
2 + 2 > 3
Yes, these lengths can form a triangle.
1 + 1 = 2
No, these lengths cannot form a triangle.
Answer:
D
Step-by-step explanation:
the formula is
a + b > c
a+ c > b
b+ c > a
The answer is D because
given lenght(D answer) A=1 , B=1, C=2
Thus, follow the formula.
a+b>c
1+1>2 ❌
a+c>b
1+2>1 ✅
b+c>a
1+2>1 ✅
we know that a+b>c is wrong, so, it cant form a triangle
∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
Answer:
[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Step-by-step explanation:
Given:
The scale factor = 1.25 and rotated =45°
Length of side =5 units; , 4.2 units; and , 4 units respectively.
As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .
Therefore sides of the ∆ PQR is
[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]
Hence the length of the ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
given that £1=$1..62 what is 650 pounds in dollars
1 pound = 1.62 dollars.
Multiply total pounds by 1.62 for total dollars.
650 x 1.62 = $1,053
Which ordered pair is a solution of the equation y-4=7(x-6)
Only (5,4)
Only (6,5)
Both
Neither
Answer:
first we will check if the coordinate (5,4) is a solution:
you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:
y-4 = 7(5-6)
now we have to work this out like:
y-4 = 7 • -1
y -4 = -7
y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.
the same goes for coordinate (6,5):
y-4 = 7 (6-6)
y-4 = 0
y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.
so the answer is neither
Answer:
Neither
Step-by-step explanation:
Simplify the given equation.
y - 4 = 7(x - 6)
y - 4 = 7x - 42
y = 7x - 38
Now, take the point (5, 4) and test to see if this is a solution.
y = 7x - 38
4 = 7(5) - 38
4 = 35 - 38
4 ≠ -3
Since that point did not prove to be true, answer choices A and C are cancelled out. Take point (6, 5) and test it.
y = 7x - 38
5 = 7(6) - 38
5 = 42 - 38
5 ≠ 4
Neither points provide a solution so D is the answer.
Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
I will mark Brainliest this is urgent
Answer:
CD = 7
Step-by-step explanation:
If BC = 7 and ACB ≈ DCE, if you continue the line through BC, you'll see that the rest of it is CD, meaning BC = CD giving you the answer.
Answer:
Solution ⇒ 7
Step-by-step explanation:
Let us list the Given;
[tex]ACB = DCE,\\AC = 5 units,\\BC = 7 units[/tex]
Knowing that Δ ACB ≅ Δ DCE, by CPCTC we can consider the following;
[tex]AC = CD,\\BC = CE,\\AB = DE[/tex]
If we have to find the length of CD, given BD = 7 units;
[tex]CD = 7\\Conclusion, 7[/tex]
Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement "p: The sun is shining" has a truth value of 0.57 and the statement "q: Mary is getting a tan" has a truth value of 0.08. Find the truth value of
yes jxjfnsuspfjidheagdkhrsojieeidhj
Which is a memory strategy
A: Memorize every fact
B: Study alone to avoid distractions
C: let information sink in by studying just before tests
D: Review information shortly after you’ve learned it
Answer:
the answer should be D
Step-by-step explanation:
:)
What 7÷56+3 I'm boreeeddxxxxxxxxx
Answer:
The answer is 3.125.
Answer:
It's 3.125
Step-by-step explanation:
Hope this help lol