Answer:
There are 11 g of drink mix for every ounce of water.
Step-by-step explanation:
In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.
[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]
[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]
The rate is:
[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]
There are 11 g of drink mix for every ounce of water.
Answer:
There are 11 g of drink mix for every ounce of water.
What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
Subtract y from both sides
2x= -y+5
Subtract 5 from both sides
2x-5= -y
Multiply both sides by 4
8x-20= -4y
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
Subtract 11 from both sides
5x-11= -4y
Combine equations:
5x-11=8x-20
Subtract 5x from both sides
-11=3x-20
Add 20 to both sides
9=3x
3x=9
Divide both sides by 3
x=3
Solving for y:
2x+y=5
Subtract y from both sides
2x= -y+5
-y+5=2x
Multiply both sides by 5
-5y+25=10x
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
-4y+11=5x
Multiply both sides by 2
-8y+22=10x
Combine equations:
-8y+22= -5y+25
Add 8y to both sides
22=3y+25
Divide both sides by 25
-3=3y
3y= -3
Divide both sides by 3
y= -1
1. At a leather shop, 50 leather jackets were sold in February. The shop keeper at the store wants to encourage the sales team to sell more leather jackets by giving all the sales team members a bonus if the number of leather jackets sold increases by 30% in March. How many leather jackets must the sales team sell in March to receive the bonus?
Answer:
65 shirts.
Step-by-step explanation:
50 is the amount of shirts sold in February.
30% increase=1.3
1.3(50)
65
They need to sell 65 shirts in March to get the bonus.
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
I don’t need you to explain just answer.
Answer:
[tex]\frac{2(3)+6^2}{6} =42/6=7[/tex]
Answer:
7
Step-by-step explanation:
plug in the values of the variables and use order of operations.
2·3+6^2/6
2·3+36/6
6+36/6
42/6
7
( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )
Answer:
b because look at the notes and study
Answer:
[tex]{25x}^{2} - 54[/tex]
I am giving you some data, I want you to make up 2 questions about probability using that data.
You have a bowl of Jelly Belly jelly beans. There are 5 flavors, 25 watermelons, 13 tutti fruitti, 45 cherry, 10 cinnamon, 32 buttered popcorn.
Answer:
What’s the probability of choosing a tutti fruitti and a cherry jelly bean?
What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?
Step-by-step explanation:
in a triangle, what is the 3rd angle measure if the other two angles are each 60
question in attachment
Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{8}[/tex] = 1530 and r = 2, thus
[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
One circle labeled internet 9 overlaps another circle labeled T V 12. The overlap is labeled 26. A 4-column table with 3 rows. The first column has no label with entries T V, not T V, total. The second column is labeled internet with entries 30, 11, 41. The third column is labeled not internet with entries 5, 4, 9. The fourth column is labeled total with entries 35, 15, 50. Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show the results from the two surveys. Which statement is true? More students do both activities at A than at B. More students watch TV at B than at A. More students do neither activity at B than at A. More students were surveyed at A than at B.
Answer:
C
Step-by-step explanation:
edg2020
Answer:
C: More students do neither activity at B than at A.
Step-by-step explanation:
edg2021
Light travels [tex]9.45*10^{15}[/tex] meters in a year. There are about [tex]3.15*10^{7}[/tex] seconds in a year. How far does light travel per second? Write your answer in scientific notation.
Answer:
300000000
Step-by-step explanation:
Take speed of light and divide it by the number of years and you should have your answer.
Half the sum of a number and 5
Solve the equation.4[x+1/3]=20
Answer:
[tex]x=\frac{14}{3}[/tex]
Step-by-step explanation:
Open the brackets.
[tex]4x +\frac{4}{3}=20[/tex]
[tex]4x=\frac{56}{3}[/tex]
[tex]x=\frac{14}{3}[/tex]
Answer:
So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have
x+1/3=5
Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.
All we will be left with is x
x = 4 2/3
Can you help me with this?
|a^2| if a<0
Answer:
|(-a)²| = | a² | = a²
Step-by-step explanation:
absolute value is always positive number as well as any number squared so sign is positive no matter what
a number t decreased by 2 is at least 7
What is the factored from of y2+6y-16
Answer:
(y + 8)(y - 2)
Step-by-step explanation:
Given
y² + 6y - 16
Consider the factors of the constant term (- 16) which sum to give the coefficient of the y- term (+ 6)
The factors are + 8 and - 2, since
8 × - 2 = - 16 and 8 - 2 = 6, thus
y² + 6y - 16 = (y + 8)(y - 2)
Solve this system of equations using the multiplication method. Please show all work to receive credit. 5x - 2y = 30 2x + 4y = 24
Answer:
its 4
Step-by-step explanation:
Simplify √ 20 x 8 y 9 to the form a √ b .
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
A sample of 100 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
O A. (24.3, 25.3)
O B. (24, 26)
O C. (23.8, 26.2)
O D. (24.4, 25.6)
Answer:
D
Step-by-step explanation:
I just took the test: 24.4, 25.6
Answer:
its D
Step-by-step explanation:
Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents
Answer:
C
Step-by-step explanation:
[tex]\frac{y^{3/4} }{y^{1/2} }[/tex] Original expression
[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex] Division Property of Exponents
[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex] Find a common denominator (4)
[tex]y^{\frac{1}{4} }[/tex] Simplify
[tex]\sqrt[4]{y}[/tex] Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)
2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2
Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
What is the surface area of a sphere with radius 4?
O A. 120 units3
B. 167 units2
C. 327 units2
O D. 6410
Answer:
SA =64 pi units ^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
SA = 4 * pi * 4^2
SA =64 pi
SA =200.96
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Given the following list of data, is 9 the mean, the median, or the mode?
2, 7, 9, 8, 9, 4, 6
Answer:
The mode (number with the highest frequency or number with most appearance)
Answer:
Mode
Step-by-step explanation:
The number that occurs the most is 9.
Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm
Answer:Area=258cm square
Step-by-step explanation:
Length:9 cm
Width:5 cm
Height:6 cm
=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square
470 centimeters = _____ meters
Answer:
4.7 meters
Step-by-step explanation:
Hope this helps! : )
Answer:
4.7 meter
Step-by-step explanation:
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6
movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total
cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
y = 12x + 8
y = 12x - 8
y = 14x + 8
y = 14x - 8
Answer:
y = 12x + 8
Step-by-step explanation:
You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6
Answer:
a
Step-by-step explanation:
“Which expressions are equivalent to x + x + x + 2?”
Answer:
3x+2
Step-by-step explanation:
x+x+x=3x
Because there are three lots of x
You can’t add 2 to the x so 2 is going to be separate
Answer is
3x+2
someone plz help i need it in like 3 minutes
Answer:
B
Step-by-step explanation:
A: -(3/-2)=-(-3/2)=3/2
B:3/-2=-3/2
C:-(-3/2)=3/2
D:-3/-2=3/2
If (5, 4) and (7, 2) are the endpoints of a diameter of a circle, what is the equation of the circle? A) (x − 6)2 + (y + 3)2 = 2 B) (x − 6)2 + (y − 3)2 = 2 C) (x + 6)2 + (y +3)2 = 8 D) (x + 6)2 + (y − 3)2 = 8
Answer:
B
Step-by-step explanation:
(5+7)/2 = 6
(4+2)/2 = 3
center = (6, 3)
diameter = √(5-7)²+(4-2)² = √8 = 2√2
radius is half diameter = √2
Equation for circle is (x-6)²+(y-3)²=2
Nichole bought a gift for her friend. She
placed the gift in a box with the length
of 10 inches, width of 5 inches, and
height of 2 inches. What is the surface
area of the box?
Answer:
10 by 5 =50
10 by 5=50
10 by 2=20
10 by 2=20
2 by 5=10
2 by 5=10
100+40+20=160
