Answer:
y = -6.5 and x = 2
Step-by-step explanation:
Let one negative number be -y and another number be x
We are given that one negative number is 4.5 more than another number
So, -y=x+4.5
We are also given that The sum of the squares of these numbers is 46.25.
So,[tex]x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\[/tex]
x=-6.5,2
When x = -6.5
-y=x+4.5
-y=-6.5+4.5
-y=-2
y=2
When x = 2
-y=x+4.5
-y=2+4.5
-y=6.5
y=-6.5
So, y = -6.5 and x = 2
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Find the value of F and
S. Round the answer to the nearest hundredth.
Answer:
F = 1/2 OF 143
S = 1/2 OF 55 or 60
Step-by-step explanation:
did the math
MARKING BRAINLIEST
Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20
Step-by-step explanation:
Total marbles = 8 + 9 + 10 + 5 = 32.
Probability of green pencil= 8 / 32 = 1 / 4
Probability of yellow = 10 / 32 = 5 / 16
What is the range of this function?
Answer:
2
Step-by-step explanation:
Cause
PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY
Answer:
no it's not a reflection
Step-by-step explanation:
a reflection would not be upside down like that, it would be the same thing rotated
what is the additive inverse of 129/7?
Answer:
-129/7
Step-by-step explanation:
The additive inverse of a number is what you add to a number to create the sum of zero
129/7 + x = 0
It is the opposite of 129/7
-129/7
Please help!!
Simplify the expression.
csc^2x-1/ 1 +sinx
Answer:
Step-by-step explanation:
Please please please please please please thank please please please help me please ASAP
Answer:
4
Step-by-step explanation:
3x^2 + 2(y-1)/x+y^2
3(4)^2 + 2(3-1)/4+3^2
3x16+2x2/4+9
48+4/13
52/13
4
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
Exactly two balls are yellow
Answer:
1/6 is the probability. im pretty sure
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Let ABCD be a trapezoid with bases AB and CD. Let AD=5 and BC=7, and let P be a point on side CD such that CP/PD=7/5. Let X,Y be the feet of the altitudes from P to AD, BC respectively. Show that PX=PY.
Answer:
I think you should google this because I found the answer there and i am not able to put the link here sorry :(.
Step-by-step explanation:
Will Give Brainliest
Which function can be used to model the graphed geometric sequence?
f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)
Answer:
f(x + 1) = Five-sixths Superscript f(x)
Step-by-step explanation:
Answer:
The answer is A. f(x + 1) = Five-sixthsf(x)
Step-by-step explanation:
Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm
Answer:
5.73 The closest answer is probably 6
Step-by-step explanation:
Answer: The radius is 5.73 CM so the answer is A, 6.
Step-by-step explanation: The radius is equal to one half the diameter
Pi times the diameter equals the circumfrence. so we do
36/3.14/2
The chart below shows the distribution of weeds in a yard.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answer:
Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which number is divisible by 3
Answer:
6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,...
Step-by-step explanation:
Dependent or Independent
Answer:in
Step-by-step explanation:
What is the domain of the function y= sqrt x
Answer:
So the domian of square root of x will be All real numbers greater than or equal to 0.
This can be expressed as:
[0 , ∞)
or
x ≥ 0
Answer: [tex]x\geq 0[/tex]
Step-by-step explanation:
[tex]y=\sqrt{x}[/tex]
Taking into consideration that the square root must always be equal to or greater than zero to avoid negative numbers, we conclude that the domain is;
[tex]x\geq 0[/tex]
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
1. How would you estimate the population of bacteria in. Make the minutes into a decimal and tell me what to substitute. Be specific on what you would do
a. 90 minutes?
b. 30 minutes?
2. How would you estimate the number of hours it would take the population to grow to 1,000 bacteria. Be specific on what you would do.
Reply as answers 1a, 1b, 2.
Answer:
1.a 519.615
1.b 173.21
2. It would take approximately 2.1 minutes
Step-by-step explanation:
If the population triples every hour then after one hour the population must be:
population(0) = 100
population(1) = 100*3 = population(0)*3
After two hours:
population(2) = population(1)*3 = population(0)*3*3 = population(0)*3²
After three hours:
population(3) = population(2)*3 = population(0)*3²*3 = population(0)*3³
Therefore the equation that will model the growth of the population is:
population(n) = 100*3^n
1. a.
We first need to convert the time from minutes to hours, to do that we must divide by 60. We have:
time = 90/60 = 1.5
We then apply this value in the "n" from the equation above:
population(1.5) = 100*3^(1.5) = 519.615
1.b.
We have to follow the same steps as before:
time = 30/60 = 0.5
population(0.5) = 100*3^(0.5) = 173.21
2.
We now use the same equation as before, but we want to solve for n isntead of "population". We have:
1000 = 100*(3^n)
100*(3^n) = 1000
3^n = 1000/100
3^n = 10
ln(3^n) = ln(10)
n*ln(3) = ln(10)
n = ln(10)/ln(3) = 2.095
It would take approximately 2.1 minutes
Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?
Answer:
25 minutes
Step-by-step explanation:
If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.
Answer:
he took 25 min
Step-by-step explanation:
40-15 =25
Which of the following is an equation?
x+y
2x – 7 = 13
3x + 5y > 9
3x + 5y - 9
Find the surface area of the cube for 1/4
Answer:
6a^2Step-by-step explanation:
This is the answer
"To find the surface area of a cube, use the formula: surface area = 6s^2, where s is the length of one of the sides. If you don't know the length of the sides, you can find the surface area using volume. Just find the cube root of the volume, which is equal to the length of one side of the cube."
Hope this helps!whats the missing variable in the equation:2(x+5)-7 = 3(x-2)
show work please
(20 points)
Answer:
x=9
Step-by-step explanation:
2(x+5)-7 = 3(x-2)
2x+10-7=3x-6
2x+3=3x-6
2x=3x-9
-x=-9
x=9
4) If z/3 = 6, what is z equal to?
Answer:
z/3 = 6
multiply both sides by 3
z/3 * 3 = 6*3
z = 18
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
Solve the equation
8/x + 3 = 1/x + 1
Answer: I got the answer of -7/2
Step-by-step explanation:
8
x
+3=
1
x
+1
Multiply all terms by x and cancel:
8+3x=1+1x
3x+8=x+1(Simplify both sides of the equation)
3x+8−x=x+1−x(Subtract x from both sides)
2x+8=1
2x+8−8=1−8(Subtract 8 from both sides)
2x=−7
2x
2
=
−7
2
(Divide both sides by 2)
x=
−7
2
Check answers. (Plug them in to make sure they work.)
x=
−7 /2
(Works in original equation)
Answer: -7/2
Using multiplication, the equation has the solution is -7/2.
What is multiplication?
The multiplication is "the process of multiplying one number is to multiply to its certain number of times".
According to the question,
[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]
[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]
8 + 3x = 1 + x [By cancel 'x' on both denominator]
8 - 1 = x - 3x
7 = -2x
x = - [tex]\frac{7}{2}[/tex]
Hence, using multiplication the equation has the solution is -7/2.
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WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]
Answer:
2. 120 cm^2
3. 3,750 cm^2
Step-by-step explanation:
To find the surface area of a rectangular prism, find the surface area of each side, then add them together.
2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.
Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.
Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.
24 * 4 = 96
12 * 2 = 24
Lastly, add both numbers together.
96 + 24 = 120
Adding the label, we get the final answer: 120 cm^2.
3. Now, apply the same steps to problem #3.
One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.
The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.
Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.
Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.
Algebra 2 hurry please
Answer:
The second answer 0.0380
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
Answer:
D. $265
Step-by-step explanation:
The product of x and 6 is less than or equal to -17.
• Over-reliance on oil also increases economic unpredictability. When oil prices drop, as is presently the case, the related
decline in revenue requires cuts in public spending, which hurts growth in the non-oil sector and leads to lower public
employment
-adapted from Economic Diversification in Oil-Exporting Arab Countries, International Monetary Fund (April 2016)
Which of these statements best supports this argument?
ОА. Saudi Arabia does not export enough oil.
B. Saudi Arabia's oil supply is controlled by private corporations.
C. Saudi Arabia produces too little oil.
OD
Saudi Arabia's oil supply is controlled by the government.
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Next Question
Answer:
B. Saudi Arabia's oil supply is controlled by private corporations.
Step-by-step explanation:
This is the best answer and is saying they are too reliant on other countries oils.
Answer:
B
Step-by-step explanation:
alejandro rosario or mattia polibio?
Answer:
Alejandro Rosario
Step-by-step explanation:
he is just really cute, well both of them are, but his personality seems nice.
Answer:
ale
Step-by-step explanation:
