Answer:
q = 8
Step-by-step explanation:
[tex]\frac{q}{q + q + 4} = \frac{2}{5} \\\frac{q}{2q + 4} = \frac{2}{5} \\\\4q + 8 = 5q\\q = 8[/tex]
The value of q is 8.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
there are 23 boys and 35 girls on the school track and field team.
After q boys and (q+4) girls graduate q the end of the year,
the probability of selecting a boy at random to represent the school for an event becomes 2/5.
now, we get,
q/(q+q+4)=2/5
solving we get,
4q+8 = 5q
i.e. q=8
Hence, the value of q is 8.
To learn more on multiplication click:
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Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left to do?
Answer: 3/5
Step-by-step explanation: thats your answer.
Time Remaining C.14:06
time 0:14:06
77%
The stem and leaf diagram shows the ages of 15 office workers.
2 3 5
Key: 23 represents 23 years old
3 4 5 8 8 9
4 1 2 4 6-7 8
5 39
a) How many workers are over 40 years old?
8
workers
b) What is the median age of an office worker?
years old
c) The oldest worker retires and is replaced by a 24 year old.
What is the new median age?
years old
Answer:
Step-by-step explanation:
a=8
b=41
c=39
sorry if im too late
Please help me out ! :( struggling
The graph that most resembles y=3^x is Graph B
Answer:
I think graph B
Step-by-step explanation:
It makes more sense
An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The object's density is 8.3 grams per cubic centimeter. Find the mass of the object to the nearest gram.
Answer:
[tex]4,080grams[/tex]
Step-by-step explanation:
the formula for density is:
[tex]d=\frac{m}{V}[/tex]
where d is density, m is mass, and V is volume.
solving for m in the last equation:
[tex]m=d*V[/tex]
so if we find the volume and multiply it by the density [tex]d=8.3gr/cm^3[/tex] we will get the mass of the object.
The volume of a rectangular prism is given by:
[tex]V=l*w*h[/tex]
where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height:
[tex]l=5in\\w=3in\\h=2in[/tex]
we substitute to find the volume:
[tex]V=5in*3in*2in\\V=30in^3[/tex]
since the density has units of [tex]cm^3[/tex] we need the volume also in units of [tex]cm^3[/tex] , so we make the conversion using:
[tex]1in^3=16.3871cm^3[/tex]
multiplying by 30:
[tex]30in^3=491.612cm^3[/tex]
and now we find the mass with the equation:
[tex]m=d*V[/tex]
substituting d and V:
[tex]m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr[/tex]
the nearest gram is: [tex]4,080grams[/tex]
"If A, then B" is the form of a
statement.
o
A. deductive
B. true
C. conditional
o
D. false
SUBMIT
Answer:
Step-by-step explanation:
If A then B is a conditional statement.
20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
Answer:
[tex](8m - 2)^{2}[/tex]
Step-by-step explanation:
Answer:
(8m -2) ^2
Step-by-step explanation:
64 m^2 - 32m +4
Recognizing that this is a perfect square trinomial (a^2 - 2ab + b^2) = (a-b)^2
(8m)^2 -2*8m*2 +2^2 = (8m -2) ^2
Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.
Triangle K L M is shown. The length of K M is 45 yards and the length of L M is 20 yards. Angle L K M is 25 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area?
Answer:
107
Step-by-step explanation:
got it right... your welcome
Answer:
107
i took the review and examStep-by-step explanation:
a = -3, and c = 7. What is the value of b?
Answer:
6.235
Step-by-step explanation:
c²=a²+b² (pythagorean theory)
7²=-3²+b²
49=9+b²
(49-9). 40=b² (find the square root of 40 to obtain the value of b)
Select the correct answer. What are the solutions to this quadratic equation?
A)x=4+sqrt 10
B)x=-2+4 sqrt 10
C)x=4+2 sqrt 10
D)x=-4+4 sqrt 10
Answer:
Let's solve your equation
[tex]x^2+13=8x+37[/tex]
Step 1: Subtract 8x+37 from both sides.
[tex]x^2+13-(8x+37)=8x+37-(8x+37)[/tex]
[tex]x^2-8x-24=0[/tex]
For this equation: a= 1, b= -8, c= -24
Step 2: Use quadratic formula with a=1, b=-8, c=-24.
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-8)+\sqrt{(-8)^2-4(1)(-24)} }{2(1)}[/tex]
[tex]x=\frac{8+\sqrt{160} }{2}[/tex]
[tex]x=4+2\sqrt{10}[/tex] or [tex]x=4-2\sqrt{10}[/tex] This is the answer
So,the correct option is C
I hope this help :)
When graphing y = 2x^2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as
closely as possible?
Answer:
x-axis from -20 to 5; y-axis from -80 to 80
Step-by-step explanation:
The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...
x: -20 to 5
y: -80 to 80 . . . . . choice A
x-axis from -20 to 5; y-axis from -80 to 80
Step-by-step explanation:
The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...
x: -20 to 5
y: -80 to 80 . . . . . choice A
Solve log (x + 1) = –x2 + 10 by graphing. Which equations should be graphed?
y1 = –x2
y1 = –x2 + 10
y2 = log (x + 1)
Answer:
b. y1 = –x2 + 10
d. y2 = log (x + 1)
Step-by-step explanation:
edge 2023
Answer:
b,d and d for the second question
Step-by-step explanation:
Jennifer is flying her kite and I get stuck in a tree. She knows the string on her coat is 17 feet long and she is 7 feet from the tree. How high up in the tree is the kite (in feet)?
Answer:
15.5 feet
Step-by-step explanation:
Find attached to this answer the appropriate diagram.
We would be using the Pythagoras Theorem to solve this question
The formula is given as:
a² + b² = c²
Where a = opposite side
b = adjacent side
c = hypotenuse
From the question,
a = opposite side = unknown
b = adjacent side = 7 feet
c = hypotenuse = 17 feet
We are to find the opposite side
Using the formula
a² + b² = c²
a² = c² - b²
a² = 17 feet² - 7 feet ²
a² = 289 feet² - 49 feet²
a² = 240 feet²
a = √240 feet²
a = 15.491933385 feet
Approximately 15.5 feet
Therefore, the kite is 15.5 feet high up in the tree.
Plz need help for a grade god explanation and answer get brainliest
Answer:
20%
Step-by-step explanation:
There is a 20% chance you get selected for researching China because 5 out of 25 spaces are ones for researching China.
[tex]\frac{5}{25} =\frac{20}{100}[/tex]
Rewrite 2/5 book 1/2 hour as a unit rate
Answer:
4/5 book per hour
Step-by-step explanation:
In this question, we are to rewrite (2/5)/(1/2) as unit rate.
To write this as a unit rate, what we need to do
is to divide 2/5 by 1/2.
That means 2/5 divided by 1/2
Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour
Step-by-step explanation:
4/5 books/hour
6.
A shop sells CDs and DVDs.
In one week the number of CDs sold and the number of DVDs sold were in the ratio 3:5
The total number of CDs and DVDs sold in the week was 728
Work out the number of CDs sold.
Answer:
273
Step-by-step explanation:
CD(3):DVD(5)
3+5=8
728 divided by 8= 91
3x91=273
Answer:
273
Step-by-step explanation:
CDs to DVDs is 3:5
[tex]\frac{728}{3+5}[/tex]
[tex]\frac{728}{8}=91[/tex]
[tex]3 \times 91: 5 \times 91[/tex]
[tex]273:455[/tex]
273 CDs were sold.
What are the solutions of 3x²-x+7=0?
Answer:
The answer is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]3x^2-x+7=0[/tex]
Using the quadratic formula:
[tex]x=\dfrac{1\pm \sqrt{1-84}}{6}=\dfrac{1\pmi\sqrt{83}}{6}[/tex]
Therefore, the correct answer is A. Hope this helps!
Isaac can text 96 words in 6 minutes. At this rate, how many words could he text in 10 minutes?
Answer:
160
Step-by-step explanation:
We can divide 96 by 6 to find that Isaac types at 16 words per minute
16*10=160
16-2t=5t+9, find the value of t.
Answer:
[tex]t = 1[/tex]
Step-by-step explanation:
[tex]16 - 2t = 5t + 9 \\ 16 - 9 = 2t + 5t \\ 7 = 7t \\ \frac{7}{7} = \frac{7t}{7} \\ t = 1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
[tex]t=1[/tex]
Step-by-step explanation:
[tex]16-2t=5t+9[/tex]
[tex](+16)+(-2t)=(+5t)+(9)[/tex]
Add [tex]-16[/tex] and [tex]-5t[/tex] on both sides.
[tex](-2t)+(-5t)=(+9)+(-16)[/tex]
Add the like terms and evaluate.
[tex]-2t-5t=9-16[/tex]
[tex]-7t=-7[/tex]
[tex]7t=7[/tex]
[tex]t=7/7[/tex]
[tex]t=1[/tex]
PLEASE HELP ASAP! Brainliest will be given
Answer:
I am not sure but still according to me, its 3×5. 3X5 can be the correct answer.
I need help please! If you know the answer can you explain?
Answer:
C.
Step-by-step explanation:
Take the equation for finding the volume of a sphere and plug in your radius
4π[tex]\frac{r^3}{3}[/tex] = V
your equation would plug in 7 for the r. Then simplify the rest of the equation.
Answer:
c
Step-by-step explanation:
I'm not sure but i hope this helps
A building contractor estimates that her profit in dollars for a tall building will be given by the function:
P (h) = -4h2 + 160h,
where h represents the numer of floors in the buliding.
What height will give the maximum profit? What is the maximum profit?
Question to answer: What is the maximum profit?
profit is———
dollars
Answer:
The height is 20
The max profit is 1600
Step-by-step explanation:
P (h) = -4h^2 + 160h
The vertex is at
-b/2a = -160/2(-4) = 160/8 = 20
The height that will give the maximum profit is 20
We want to find the value at 20
P(40) =-4(20)^2 +160(20)
=-1600+3200
1600
Which is the graph of y-3 =-{{+ 6)?
Answer:
[tex]y = - 3[/tex]
[tex]y = - 6 + 3 \\ y = - 3[/tex]
Choose an inequality that matches the graph.
x<3
x>3
x=3
x≤3
Answer:
x ≤ 3
Step-by-step explanation:
The equation of the solid line is x = 3
The shaded region to the left of x = 3 is less than 3 , thus
x ≤ 3 matches the graph
PLS HELP THXSSSSSSS
QUICKLY TOOO
Answer:
94.2 cm³
Step-by-step explanation:
The volume of a cone is
1/3 x h x π x r²
Plug in the values!
1/3 x 10 x 3.14 x 3²
1/3 x 10 x 3.14 x 9
3 x 10 x 3.14
30 x 3.14
94.2 cm³
Answer:
V =94.2 cm^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 10
V = 1/3 ( 3.14) 3^2 * 10
V = 1/3 (3.14) *9(10)
V =94.2 cm^3
The diagram shows squares 1, 2, and 3 constructed on the sides of a right
triangle.
Answer:
I think D but I'm not sure about that
Answer:
D
Step-by-step explanation:
is this right? pls help asapppp
Answer:
yes thats correct
Step-by-step explanation:
Answer:
14.79
Step-by-step explanation:
Take the price of the dishes and multiply by the tax rate
232 * 6 3/8%
Change to decimal form
232 * .06375
14.79
The tax is 14.79
Andrea is painting a ceramic plate with a diameter of 12 inches. She wants to paint a thin blue line around the edge of the plate. How long will the line be?
Answer:
37.7 inches
Step-by-step explanation:
She wants to paint the line along the circumference of the plate.
The plate is circular; the circumference of a circle is given as:
C = πD
where D = diameter
The diameter of the plate is 12 inches, therefore:
C = π * 12 = 37.7 inches
The line will be 37.7 inches long.
Please help me!!!! I need to hand it in rn!!
Answer:
12
Step-by-step explanation:
[tex]no \: of \: side \: of \: polygon \\ = \frac{360 \degree}{ measure \: of \: exterior \: angle} \\ \\ = \frac{360 \degree}{ 30 \degree} \\ \\ = 12[/tex]
A cube has a volume of 1/512 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your answers as simplified fractions when necessary
Answer:
1/8 meters
Step-by-step explanation:
The volume of a cube is given as the cube of the length of its sides. That is:
[tex]V = L^3[/tex]
where L = length of its side
The volume of the cube is 1/512 cubic metres.
This implies that:
[tex]\frac{1}{512} = L^3[/tex]
Find the cube root of both sides:
[tex]\sqrt[3]{\frac{1}{512} } = L\\\\=> L = \frac{1}{8}[/tex] meters
The cube has sides of length 1/8 meters
Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
B
Step-by-step explanation:
the mixmum area y-axis also know in this graph as area then we go to the left hand side we see the mixmum point of the x-axis also know in this graph as width
the greater the area the greater the width