Complete the following statement.
The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are
adults and
children.
Answer:
56 adults and 35 children
Step-by-step explanation:
sum the parts of the ratio 16 + 10 = 26
Divide 91 by 26 to find one part of the ratio
91/26 = 3.5 ← 1 part of the ratio
16 parts = 16 × 3.5 = 56 ← number of adults
10 parts = 10 × 3.5 = 35 ← number of children
Therefore it 56 adults and 35 children.
To Check the Answer: 56 + 35 = 91
Help plz I need help plz
Step-by-step explanation:
the third option is the correct one
help please I need help
Answer:
a is 16 yards hope this helps
Step-by-step explanation:
Which equations describes a line that has a y-intercept of 4 and a slope of 3?
Hello there!
If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:
[tex]y=3x+4[/tex]
Hope this helps you! Mark Brainliest, please! :)
~Just a joyful teen
[tex]SilentNature[/tex]
Answer:
y = 3x + 4
Step-by-step explanation:
Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.
Answer:
2^-2
Step-by-step explanation:
When multiplying indices or exponents with the same base number, you can add the powers:
2^4 x 2³ = 2^7 (4 + 3 = 7)
2^5 x 2^4 = 2^9 (5 + 4 = 9)
When dividing indices or exponents with the same base number, you can subtract the powers:
2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)
can someone please help me with this? i don’t understand it at all
Answer: I’m pretty sure they are similar because they have the same interior degree.
Step-by-step explanation:
-343 as a power of (-7)
Answer:
[tex]-342^{-7}[/tex]
Step-by-step explanation:
If we represent 343 as a power of (-7)
we get [tex]-342^{-7}[/tex]
the equation will be this
= -347 × -347 × -347 × -347 × -347 × -347 × -347
The value of
[tex]2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + ... \infin} } } \: is \\ [/tex]
Given answer with step by step explanation.
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to find out the value of the fraction.
Let us assume that:
[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]
[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]
[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]
[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]
Comparing the given equation with ax² + bx + c = 0, we get:
[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]
By quadratic formula:
[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]
[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]
[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]
[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]
But "x" cannot be negative. Therefore:
[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]
So, the value of the fraction is 1 + √2.
Anyone know these answers for math??
Answer:
7) No
8) Yes
Step-by-step explanation:
7) 15 + 2y = -12 - 4y when y = -0.5
15 + (2*-0.5) = -12 - (4*-0.5)
15 + -1 = -12 - (-2)
15 - 1 = -12 + 2
14 = -10
The numbers are different on both sides so -0.5 is not a solution
8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2
5 - 2( (3*2) + 5 ) = 3 - (10*2)
5 - 2( 6 + 5 ) = 3 - 20
5 - 2*11 = 3 - 20
5 - 22 = 3 - 20
-17 = -17
The numbers are similar on both sides so 2 is a solution
PLS HELP WILL MARK BRAINLIEST!
More than means addition.
C is the correct option.
= (2x + 4) + 9 - 4y + 3x
= 2x + 4 + 9 - 4y + 3x
= 5x + 13 - 4y
= 5x - 4y + 13
Answer:
5x-4y+13 (c)
Step-by-step explanation:
9-(4y-3x)+(2x+4)
9-4y+3x+2x+4
3x+2x-4y+9+4
5x-4y+13
Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.
Answer:
Correct answer is A
Step-by-step explanation:
In pic
Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).
R(x, y )= (- y, x )
Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
Learn more about Coordinates:
https://brainly.com/question/23450276
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Liam is a tyre fitter question
Answer:
a) 168
b) 3
Step-by-step explanation:
a) 56÷4=14 14×12=168
b) 56÷4=14 56-14=42 42÷14=3
4.5 kg equals times one gram
Answer:
4500 gr
Step-by-step explanation:
4.5 kg equals some number (n) times one gram. Solve this for n:
4.5 kg = n(1 gr)
Recall that 1 kg = 1000 gr. Because of this, the equation above becomes
4.5 kg (4.5)(1000 gr)
n = --------------- or ------------------- or 4500 gr
1000 gr 1 gr
The diagram shows triangle QRS with side SR on ray ST.
Part A. What is the measure of ∠QRS?
Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION
Enter the correct answers in the boxes.
The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know in the triangle the sum of the two interior angles is equal to the exterior angle.
Angle RQS + Angle RSQ = Angle TRQ
4y + y = 145
5y = 145
y = 29
The measure of angle QRS = 180 - Angle RQS - Angle RSQ
= 180 - 4(29) - 29
Angle QRS = 35 degree
The measure of angle Q = 4y = 4(29) = 116 degree
Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
Learn more about the triangle here:
brainly.com/question/25813512
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Each year the local country club sponsors a tennis tournament. Plays starts with 128 participants. During each round, half of the players are eliminated. How many players remain after five rounds?
Answer:
128 divided by 2 for 5 times is your answer enjoy my.kiddo
Jennifer has 84.5 yards of fabric to make. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many FEET of fabric does Jennifer use per curtain?
Answer: 118.2
Step-by-step explanation:
I NEED HELPPP WHEN THESE!!! please can someone help
Answer:
a: 36
b: 10
c: 3.2
d: a
Step-by-step explanation:
Answer:
A = 36
B = 10
C = 3.2
D = a
Step-by-step explanation:
The square roots and power of 2s zero each other out.
Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268
Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit
Answer:
2.93 repeating
Step-by-step explanation:
15. A 12.5 oz bag of Doritos for $3.79 or a 3 oz bag for $1.00.
☆
Which is the better buy
Answer: $3.79 for 12.5 oz. is cheaper per ounce than $1.00 for 3oz.
Step-by-step explanation: Without much effort we can see that $ 1.00 for 3 oz $4.00 for 12 oz. but you can get more (12.5 oz.) for less than $4.00 (for $3.79) if you buy 12.5 oz. for $3.79
Three out of nine cats weigh less than 15 pounds.
What is the decimal equivalent for the number of cats weighing less than 15 pounds?
Answer:
0.333...
Step-by-step explanation:
3 out of 9 can be written as 3/9 which reduces to 1/3.
1/3 = 0.333...
yeah, uhm can someone help me with this?
Answer:
-24
Step-by-step explanation:
[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]
Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?
Answer:
Step-by-step explanation:
Nina's debt = 3 * 9 = $ 27
Debt is represented using negative sign.This represents (-27) on the number line.
Answer:(-27)
Step-by-step explanation:
i got it right on edge 2022
What’s the perimeter of 4 feet long and 4 feet wide
4 times 4 so your awnser is 12
Hope that helps :)
Answer:
16
Step-by-step explanation:
4+4+4+4
help please because I feel like my brain is gonna rot from this (please look at the image)
Answer:
124.3
Step-by-step explanation:
42.15+20.00=1/2x
62.15=1/2x
62.15*2
124.3 is the total of her paycheck.
42.1<20.00+x
what is this frfr??????????????????
Answer:
7
Step-by-step explanation:
7x-6=43
+6 +6
7x=49
/7 /7
x=7
Answer: x=7
is the answer
what is the slope of this line?
a) -1/3
b)1/3
c) -2/3
d) 2/3
Answer:
look at the picture i have sent
can someone please help me with this question including a full explnation?
Given :-
Diameter of table = 2.3m Length of cloth to be hanged = 10cm .To find :-
The area of tablecloth required .Solution :-
According to Question ,
r = 2.3/2 + 10/100 m r = 1.15 + 0.1m r = 1.25mAs we know that ,
Area = πr²Area = 3.14 * 1.25 * 1.25 m² Area = 4.90 m² ≈ 5m²Wanda purchased some gifts for her kids and husband online. She bought a doll for $14.59, 2 games for $10.95 each, and 2 movies for $9.99 each. The web site had a promotional offer of $10 off and no shipping fees for any purchase totaling at least $40. Wanda was charged 7.25% tax on her total purchase. How much did Wanda pay for her online purchase?
Answer:
50.37
Step-by-step explanation: