4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for?
how big was the original group?
b. identify all the necessary numbers.
28,5
c. write the equation or problem in numeric form.
x=28*5
d. solve the math.
x=140
e.write the answer
. the original group contains 140 people.
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for?
what is the minuend?
b. identify all the necessary numbers.
589,339
c. write the equation or problem in numeric form.
x=589-339
d. solve the math.
x=250
e.write the answer.
minuend=250
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for?
what is the divisor?
b. identify all the necessary numbers.
17,765
c. write the equation or problem in numeric form.
x=765/17
d. solve the math.
x=45
e.write the answer.
divisor is 45.
4. Solution
a. How big was the original group?
b. 28 and 5
c. x = 28×5
d. x = 140
e. There are 140 people in original group.
5. Solution
a. What is the minuend?
b. 589 and 339
c. x = 589-339
d. x = 250
e. The minuend is 250.
6. Solution
a. What is the divisor?
b. 17 and 765
c. x = 765/17
d. x = 45
e. Hence, 45 is the divisor.
Helppp and explain pls and thankyou ,I will mark brainlist
Answer:
4x = 6 + x
3x = 6
x = 2
2 hours..$8
Step-by-step explanation:
What is (f.g)(x)?
f(x)=x^3 - 4x + 2
g(x)=x^2 + 2
Answer:
f(g(x)) =
[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]
Step-by-step explanation:
put g(x) instead of any x in f(x)
[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]
Max earned $8 for each hour of work he completed. His mom put $120 in his savings account at the end of the summer. By the end of the summer, Max had $400 in his savings account. Write an equation to determine the number of hours Max worked over the summer.
Answer:
8x +120= 400
Step-by-step explanation:
Let the number of hours Max worked over the summer be x.
Assuming that he had $0 in his bank at the start of summer,
Total savings= 8(number of hours) +120
400= 8x +120
8x +120= 400
To find the value of x, first bring all the constants to one side of the equation.
8x= 400 -120
Simplify:
8x= 280
Divide both sides by 8:
x= 280 ÷8
x= 35
∴ Max worked for 35 hours over the summer.
if 3/4 of a number is added to 5/4 it gives the same result as taking 7/8 of the number from 20 ⅓. Find the number
Given:
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
To find:
The unknown number.
Solution:
Let x be the unknown number.
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
[tex]\dfrac{5}{4}+\dfrac{3}{4}x=20\dfrac{1}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{61}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{488-21x}{24}[/tex]
Multiply both sides by 24.
[tex]6(5+3x)=488-21x[/tex]
[tex]30+18x=488-21x[/tex]
[tex]18x+21x=488-30[/tex]
[tex]39x=458[/tex]
Divide both sides by 39.
[tex]x=\dfrac{458}{39}[/tex]
Therefore, the required number is [tex]\dfrac{458}{39}[/tex].
3 1/2 divided by 2 1/6=
Answer:
21/13
Step-by-step explanation:
3 1/2 = 7/2
2 1/6 = 13/6
7/2 divided by 13/6
7/2 X 6/13 = 42/26 = 21/13
Answer:
Step-by-step explanation:
3 1/2 = 7/2 and 2 1/6 = 13/6
7/2 divided by 13/6 = 7/2 x 6/13
42/26
21/13 is your final answer.
Can you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
10
What are the x- and y-coordinates of point E, which
partitions the directed line segment from A to B into a
ratio of 1:2?
B(-4,9)
9
8
X E
(
mn)(x2 – xı) + x
7-
6
5
4
mm. )(x2 - y) + y
3
-7 -6 -5 4 -3 -2 -14
2 3 4 5 6 7
0 (0, 1)
0 (-1,3)
O(-2,5)
(1,0)
X
-2.
3
A(2,-3)
19
Answer:
Step-by-step explanation:
The formulas to find the x and y coordinates of E are:
[tex]x=\frac{bx_1+ax_2}{a+b}[/tex] and [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first:
[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and now for y:
[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]
The coordinates of E are (0, 1).
Given:
The points are A(2,-3) and B(-4,9).
The point E divides the segment AB in 1:2.
To find:
The coordinates of point E.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of the point is:
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Using the section formula, the coordinates of point E are:
[tex]E=\left(\dfrac{1(-4)+2(2)}{1+2},\dfrac{1(9)+2(-3)}{1+2}\right)[/tex]
[tex]E=\left(\dfrac{-4+4)}{3},\dfrac{9-6}{3}\right)[/tex]
[tex]E=\left(\dfrac{0)}{3},\dfrac{3}{3}\right)[/tex]
[tex]E=\left(0,1\right)[/tex]
Therefore, the coordinates of the point E are (0,1).
Is the discriminant of f positive, zero, or negative?
Answer:
It might be negative, I'm not sure, but I feel postive about that answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The discriminant is zero because the graph of the parabola is on the x axis.
What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16
Answer:
Center (h, k) = 2 and -3
Radius = 4
Step-by-step explanation:
Given the mathematical expression;
(x - 2)² + (y + 3)² = 16 ......equation 1.
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 2.
Where the center is C(-h, -k)
Similarly, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 3.
Where;
h and k represents the coordinates of the centre.r represents the radius of the circle.Comparing equation 1 and equation 3, we have;
The center of the circle, C(h, k) are 2 and -3
Radius = √16 = 4
What is the value of this exspession when c=-4 and d=-10 1/4(c^3+d^2)
Answer:
2
Step-by-step explanation:
1/4(-4×3 + 10×2)
1/4(-12 + 20)
THERE ARE 2 WAYS YOU COULD SOLVE THIS!
1. 1/4( -12) + 1/4( 20) = -3 + 5 = 2
2. 1/4 ( -12+20) = 1/4(8) = 2
Answer:
[tex]9[/tex]
Step-by-step explanation:
Given:-
Expression: [tex]\frac{1}{4} (c^3+d^2)[/tex]
Value of c = [tex]-4[/tex]
Value of d = [tex]-10[/tex]
Solution:-
Add the given values in the expression, writing them inside the bracket:
[tex]\frac{1}{4} ((-4)^3+(-10)^2)[/tex]
[tex](\frac{1}{4}) ((-4)^3)+(\frac{1}{4} )((-10)^2)[/tex]
[tex]-16+25[/tex]
[tex]9[/tex]
Find each measure
Please help me
Answer:
1. m∠CGB=120
3. m∠AGD=90
5. m∠CGD=150
2. m∠BGE=60
4. m∠DGE=30
6. m∠AGE=120
Step-by-step explanation:
Sorry that they are out of order.
Answer:
1. m∠CGB=120°
2.m∠BGE=60°
3.m∠AGD=90°
4.m∠DGE=30°
5.m∠CGD=150°
6.m∠AGE=120°
Step-by-step explanation:
My work is scatterbrained so I'm not gonna be any help if I give an explanation.
Can someone help me with this math homework please!
Answer:
11.2
Step-by-step explanation:
[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]
p = 11.2
Answer:
The person above me is correct I just did the work and I got the same answer as them :)
Step-by-step explanation:
geometrical representation of (a+b)2and (a-b)2
Step-by-step explanation:
hope this will help you if it really help you mark me as brinalist friend please
Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what legnth would it be? Answer
Answer:
The length of the lights is 2088 inches
Step-by-step explanation:
The question is mixed up with another (See comment for correct question)
Given
[tex]Length = 799in[/tex]
[tex]Width = 245in[/tex]
Required
The perimeter of the deck (this is what the question implies)
The perimeter (P) is:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (799 + 245)[/tex]
[tex]P = 2 * 1044[/tex]
[tex]P = 2088[/tex]
5) On each birthday Rosa gets as many roses as she is old in years. She still has all the dried flowers and there are now 120 of them. How old is she? A) 10 B) 12 C) 14 D) 15 E) 20
Answer:
D) 15
Step-by-step explanation:
This is an arithmatic progression.
The formula for the sum of arithmatic progression is
[tex]s = \frac{n}{2} (2a + (n - 1)d)[/tex]
where d is the common difference between successive terms and a is the first term. By applying this formula,
[tex]120 = \frac{n}{2} (2(1) + (n - 1)(1)) \\ 120 = \frac{n}{2} (1 + n) \\ n(1 + n) = 240 \\ n {}^{2} + n - 240 = 0 \\ (n - 15)(n + 16) = 0 \\ n = 15 \: or \: n = - 16(reject)[/tex]
Shjdksjcksmcjcsnuckamc
Answer:
you should make the picture more clear, i cant see the answer choices
Answer:
use pythogoream theorem that is,
Step-by-step explanation:
c*2=a*2+b*2
so in order to find a*2;
a*2=c*2-b*2
Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Negative StartFraction 4 over 3 EndFraction.
0
StartFraction 4 Over 3 EndFraction.
3
Answer:
The slope is 0 the line is constant.
Step-by-step explanation:
.
The slope of side LN is 0.
What is an isosceles triangle?In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.
Now, in the given isosceles triangle LMN,
Coordinates of vertices are,
L(x₁,y₁) = (0, 1),
M(x₂,y₂) = (3, 5), and
N(x₃,y₃) = (6,1)
The slope of side LN ,
Slope = (y₃ - y₁)/(x₃ - x₁)
⇒ Slope = (1-1)/(6-0)
⇒ Slope = 0
means " LN is a horizontal line".
Thus, the slope of side LN is 0.
To learn more about isosceles triangle:
https://brainly.com/question/20339893
#SPJ2
The proportion of observations from a Standard Normal Distribution that take values larger than -0.8 is about:
Answer:
0.78814
Step-by-step explanation:
From. The Z probability distribution table ;
The values larger than - 0.8
P(Z ≤ - 0.8) = 0.21186
P(Z > - 0.8) = 1 - P(Z ≤ - 0.8)
1 - P(Z ≤ - 0.8) = 1 - 0.21186
P(Z > - 0.8) = 1 - 0.21186 = 0.78814
Rudy rode a bike at the speed of 32 2/3 miles per 3 1/2 minutes. What is his speed in terms of miles per hours?
HELPPP
Answer:
[tex]32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour[/tex]
560 miles per hourf equals to 2 f - 20
Answer:
20
Step-by-step explanation:
f = 2f - 20
f - 2f = - 20
- f = - 20
f = 20
The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?
Step-by-step explanation:
Hey there!
According to the question;
Perimeter of rectangle (p) = 154 m
Let the breadth of rectangle be "X" then length will be 2x+2.
Then;
Perimeter (p) = 2(l+b)
154 = 2((2x+2) + x)
154 = 2(3x+2)
154 = 6x + 4
or, 6x = 154-4
or, X = 150/6
Therefore, X= 25.
Hence;
Length = 2*25+2 = 52 m
Breadth = 25 m
Hope it helps!
We can assume,
Perimeter of rectangle = 154 m
Breadth = x
Length = 2x + 2
Now, perimeter = 2(l+b)
[tex] \sf \to 154= 2((2x+2) + x)[/tex]
[tex] \sf \to 154 = 2(3x+2)[/tex]
[tex] \sf \to 6x = 154-4[/tex]
[tex] \sf \to x = \frac{150}{6} = 25[/tex]
Then,
Breadth = 25 m
Length [tex] \sf = 2x + 2[/tex]
[tex] \sf \to (2 \times 25) + 2[/tex]
[tex] \sf \to 52 \: m[/tex]
Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)
Answer:
1). 6x - 14 2). y = 1x + 1 3). y = -4x + 22 4).y = -7/2x + 51/2
Step-by-step explanation:
1). y2 - y1 / x2 - x1 4 - (-2) / 3-2 = 6
y = 6x + b 4 = 6(3) + b 4 = 18 + b -14 = b
y = 6x - 14
2). 2 - (-2) / 1 - (-3) = 1
y = 1x + b 2 = 1(1) + b 2 = 1 + b 1 = b
y = 1x + 1
3). 2 - 6 / 5 - 4 = -4
y = -4x + b 6 = -4(4) + b 6 = -16 + b 22 = b
y = -4x + 22
4). 1 - 8 / 7 - 5 = -7/2
y = -7/2x + 51/2
Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?
Answer: The amount of salat received by each guest is 0.25 kg
Step-by-step explanation:
We are given:
Mass of the fruit salad prepared = 4 kg
Total number of guests = 16
As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.
Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]
Hence, the amount of salat received by each guest is 0.25 kg
What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
To learn more about Federal Reserve refer to:
https://brainly.com/question/382312
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Find m when 2.4^m-2=√16^3m×2
Answer:
JNGTHGNH
Step-by-step explanation:
GHGNJHGYJNR56T5465465
(show your work!) i only got an hour left for this :c
Answer:
7 _> x
Step-by-step explanation:
28 - x _> 7(x-4)
28 - x _> 7x-28
28+28 _> 7x+x
56 _> 8x
7 _> x
Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres
Answer:
You as well!
Step-by-step explanation:
If anyone can assist with a step by step
Answer:
(in the image)
Step-by-step explanation:
hope it helps
Which of these is an example of a literal equation?
A. 4x + 7 = 22
B. 5+ 20 = 52
C. ax - by = k
D. 2x + 7y
What is the measure of x?
Answer:
Step-by-step explanation:
Use similar triangles and proportions to solve:
[tex]\frac{4}{6}=\frac{10}{6+x}[/tex] and cross multiply:
4(6 + x) = 60 and
24 + 4x = 60 and
4x = 36 so
x = 9