Answer:
x = 18.5 (large) , y = 6.25 (small)
Step-by-step explanation:
Let's start by assigning variables to each type of box.
The large box we will call "x"
The small box we will call "y"
We know that 8x + 4y = 173 (kilograms)
And 3x + 2y = 68 (kilograms)
Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.
8x + 4y = 173
3x(-2) + 2y(-2) = 68(-2)
-6x + -4y = -136 (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)
Add equations together:
2x = 37
x= 18.5
Now that we have x, just substitute it into any of the equations to get y.
You will see that y = 6.25
Please mark this brainliest, and I hope this helps!
remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.
Most common is 7
So
7(3x⁵+2x³-5)Use distributive law to verify
21x⁵+14x³-35Verified
GCF is 7
I am 1,000 times as big as a gram what am i
Answer:
One Kilogram
Step-by-step explanation:
1kg = 1000g
Answer:
Kilogram
Step-by-step explanation:
Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer.
A(2, 3) B(0,2) C(4,0) D(2,-1)
Answer: Trapezoid
Step-by-step explanation:
Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
1.Isolate one variable in the system of equations, if needed.
y = x2 – 3x + 12
y = –2x + 14
2.Use substitution to create a one-variable equation.
–2x + 14 = x2 – 3x + 12
3.Solve to determine the unknown variable in the equation.
What are the values of x?
{–2, 1}
{–2, 4}
{–1, 2}
{–1, 4}
Answer:
C. { - 1, 2}Step-by-step explanation:
The first two steps solved and the last step to be performed
Solve the quadratic equation
x² - 3x + 12 = - 2x + 14x² - 3x + 2x + 12 - 14 = 0x² - x - 2 = 0x² - 2x + x - 2 = 0x(x - 2) + (x - 2) = 0(x - 2)(x + 1) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = - 1The solution is:
{ - 1, 2}Correct choice is C
Solving from step 3
-2x+14=x²-3x+12x²-3x+2x-2=0x²-x-2=0(x-2)(x+1)=0x=2 or -1Option C
VI. Pretend that you are working for the tourist bureau for your city. Which measure of central tendency (mean, median, mode) would you use in advertising to attract tourists. Justify your answer.
The mean of the data set can be used because it is not easily affected by extreme values.
What is a measure of central tendency?A measure of central tendency is a measure that tries to describe an entire data set by using the central value of the data.
Mean is often used as a measure of central tendency when dealing with a large data such as tourism in the city because it is not easily affected by extreme values.
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Reflection across the line y=2 (1,4) (4,4) (1,2) (3,2)
Answer:
A(0,1) B(0,4) C(1,2) D(3,2)
Step-by-step explanation:
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If he paid 8% sales tax on the sale price, how much did he pay in total?
The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.
AB = m – 2
BC = m + 4
AC = m
List the angles from smallest to largest.
angle
, angle
, angle
✔ A
.
Answer:
m(C)<m(B)<m(A).
Step-by-step explanation:
1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then
2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).
The list of the angles from smallest to largest are C, B and A.
Given that a triangle has side measurements represented in terms of the variable m, where m > 6.
AB = m - 2
BC = m + 4
AC = m
We need to list the angles from smallest to largest.
Since none of the sides are equal, therefore it is a scalene triangle.
Let us consider m = 6.
Then,
AB = m - 2
AB = 6 - 2
AB = 4
BC = m + 4
BC = 6+4
BC = 10
AC = m
AC = 6
It means that the longest side is BC, the medium side is AC and the shortest side is AB.
We know that the longest side of a triangle corresponds to the largest angle and vise versa.
Therefore,
The smallest angle is angle C.
The medium angle is angle B.
The largest angle is angle A
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a certain number is added to 6 and then divided by 10. The result is 3. Find the number
Answer:
let the number be x.
(x+6)/10 = 3
x+6 = 30
x =24
Scott has 6 T-shirts and 10 dress shirts in his wardrobe. What is the probability of selecting a dress shirt from his wardrobe?
a-3/8
b-3/5
c-5/8
d-8/5
Answer:
B
Step-by-step explanation:
6 divided by 10 = 0.6
0.6 = 6/10
6/10 = 3/5
Can you guys tell me what 6!/3!
[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]
Answer:
[tex]\boxed{\sf{120}}[/tex]Step-by-step explanation:
Use the factorials formula.
Factorials formula:
[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]
→ 6!/3!=6*5*4
⇒ 6*5*4
Solve a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, multiply.
→ 6*5*4
⇒ 6*5=30
⇒ 30*4=120
= 120
Therefore, the correct answer is 120.I hope this helps you! Let me know if my answer is wrong or not.
A rectangle's length is 3 times its width. If the perimeter is 32, what is the area?
Which of these strategies would eliminate a variable in the system of equation?
2x+3y=-5
2x-3y=10
One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Eliminating variables from the system of equations?System of equations consists of a different set of equations with unknown variables.
Given the system of equations
2x+3y=-5
2x-3y=10
Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"
(2x-2x)+(3y+3y) = -5 + 10
6y = 5
Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
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Jhon made 9 1/2 cups of pasta how many 1/2 cup servings did he make
Answer:
19 servings
Step-by-step explanation:
9 1/2 / 1/2 = 19
19
Step-by-step explanation:
one whole has 2halfs so 9 will have 18 plus the other half. (9×2)+1=19
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation
The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
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The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen?
Answer: 4 committees
Hope this helps! :)
I need brainliest please.
are these answer correct?
Answer:
yessir
Step-by-step explanation:
SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS HELP ME the question is like 3-v BUT LIKE THE v has a line on top so its like 3-v32/1+v2 LIKE I DONT UNDERSTAND
can be written in the form a + bv2
where a and b are integers .
Answer:
[tex]\sf -11+7\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]
Rewrite 32 as 16 · 2:
[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]
Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]
As [tex]\sf \sqrt{16}=4[/tex]:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]
Multiply by the conjugate:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]
[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]
As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]
[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]
[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]
[tex]\sf \implies -11+7\sqrt{2}[/tex]
Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(1/2x+6)−(x−3)=−1/2x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work
Answer:
Leanne is correct. It is important that g(x) is subtracted from f(x).
Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.
*Just took the test, got the answer correct!! Hope this helps!
What is the missing number in 73, 67, 61,____, 49, _____, 37 A.55,42 b.55,43 c. 55, 32 D. 55, 34
Answer:
b) 55 and 43
Step-by-step explanation:
I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.
HELP ASAP! GIVING BRAINLIEST TO BEST ANSWERS FOR THESE 2 QUESTIONS!
Hope it helps.
Do comment if you have any query.
Let's start off with 1. 3/10 * 5/7
3/10×5/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
(3×5) / (10×7) = 15 / 70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using
GCF(15,70) = 5
(15÷5)/ (70÷5)=3/14
Therefore:
3/10×57=3/14
Now, #2. 7/10 * 2/4- We do the same process.
7/10×2/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
(7×2) / (10×4)=1440
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using
GCF(14,40) = 2
(14÷2) / (40÷2) = 7/20
Therefore:
7/10×2/4=7/20
Hope this helps!
here are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
unna, Ravi and Sam cach take at random one sweet from the bowl.
Jork out the probability that the 5 lemon sweets are still in the bowl.
Answer:
61/112.
Step-by-step explanation:
For 5 lemon sweets to be in the bowl the 3 taken must be from the 4 blackcurrent and/or 7 orange sweets.
First work out the probability of having a lemon in one of the 3 picks:
Prob (Taking 3 lemons) = 5/16 * 4/15* 3/14 = 60/3360 = 1/56.
Prob (Taking 2 lemons and 1 blackcurrent) = 5/16*4/15*4/14 = 1/42
There are 3 ways of doing this so Probab) = 3/42 = 1/14.
Prob (Taking 1 lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.
There are 3 ways of doing this so Prob = 3/56.
Prob (Taking 2 lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.
There are 3 ways of doing this so Prob) = 3/24 = 1/8.
Prob (Taking 1 lemon and 2 orange) = 5/16*7/15*6/14 = 1/16
There are 3 ways of doing this so Prob = 3/16.
Therefore the probability of have 1 or more lemons in one of the 3 picks
= 1/56 + 1/14 + 3/56 + 1/8 + 3/16
= 51/112
and the probability of NOT having a lemon in one of the 3 picks
= 1 - 51/112
= 61/112.
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell?
How much money did it cost Andre to make this amount of lemonade?
How much money did Andre make in profit
Answer:
18 cups of lemonade
Step-by-step explanation:
so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups
The volume of this right trapezoidal prism is 341.25 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
Answer:10.5
Step-by-step explanation: I hope this helps
The height, x, of the right trapezoidal prism is 10.5 ft.
Given that, the volume of this right trapezoidal prism is 341.25 ft³.
We need to find the height x, of the prism.
What is the formula to find the volume of this right trapezoidal prism?The formula to find the volume of this right trapezoidal prism is Volume=BH.
Where B=Area of the Base and H=Height.
Area of the Base(Trapezium)=1/2(a+b)×h
Where a and b are parallel sides of the trapezium and h= height of the trapezium.
Now, the area of the Base=1/2(8+5)×5=32.5 ft²
The volume of the right trapezoidal prism=32.5×x
⇒341.25=32.5×H
⇒x=10.5 ft
Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.
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4.
rhombus abcd has mlabc = 120° and
ab = 7. find diagonal length, bd.
Answer: 7
Step-by-step explanation:
fing the midpoint of A(1-4) and B(-2;-7)
Please do number 5 thank you
Answer:
No, the mayor cannot conclude that 90% of residents favor the expansion.
Step-by-step explanation:
The sample taken is from the employees that will work on the highway, but we need to know the resident's opinion. The workers will have a different opinion than the average person, so this is not an accurate conclusion.
Please help ASAP! 20 points!!
Answer:
They are increasing at the same rate.
i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Answer:
? = 13.6
Step-by-step explanation:
the angle between a tangent and the diameter = 90°
Then the triangle is right with legs 2 × 6 = 12 and 6.4
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the legs , that is
? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )
? = [tex]\sqrt{184.96}[/tex] = 13.6
