Answer:
10ax-30x
Step-by-step explanation:
Multiply 2x by the numbers inside the parenthesis
A shop will sell a mixture of almonds and cashews. Almonds cost $2.50 per pound and cashews cost $3.25 per pound. The shop will make 80 pounds of the mixture and sell it for $2.95 per pound. How many pounds of almonds should they use?
Answer:
32 pounds of almonds
Step-by-step explanation:
Let the number of pounds of almond be a while that of cashews be c
we want to make a total of 80 pounds
Thus;
a + c = 80 ••••••••(i)
Furthermore;
Let us work with the costs
Costs of a pounds of almonds will be ;
a * 2.5 = 2.5a
cost of c pounds of cashews
c * 3.25 = 3.25c
Total cost at which they sell will be 80 * 2.95 = 236
Thus;
3.25c + 2.5a = 236 •••••(ii)
From i, c = 80-a
Put this into ii
3.25(80-a) + 2.5a = 236
260-3.25a + 2.5a = 236
0.75a= 24
a = 24/0.75
a = 32
Solve the compound inequality 5 < k -2 < 11
Answer:
7 < k < 13
Step-by-step explanation:
5 < k -2 < 11
5 < k -2 < 11
+2 + 2 +2
—————————— ( Add 2 to all parts )
7 < k < 13
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
Work out the area of a rectangle with base 18mm and perimeter 38mm
Answer:
684 mm squared
Step-by-step explanation:
Very simple. It's 18mm multiplied by 38 mm.
18 mm * 38 mm = 684 mm2
How do you write 1/12 as a decimal?
Answer:
I think it's 0.083
Step-by-step explanation:
Answer:
0.0833333 (3 is repeating)
Step-by-step explanation:
Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.
Answer:
[tex]y = 1500(0.024)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 1500km[/tex] -- initial area
[tex]b = 2.4\%[/tex] -- rate
[tex]t = time[/tex] --- (years)
Required
Represent as an exponential function
An exponential function has the form:
[tex]y = ab^t[/tex]
Where
[tex]a = initial\ value[/tex]
[tex]b = rate[/tex] and [tex]b \ne 1[/tex]
[tex]t= time[/tex]
Substitute values for a and b, we have:
[tex]y = 1500 * (2.4\%)^t[/tex]
Convert percentage to decimal
[tex]y = 1500 * (0.024)^t[/tex]
[tex]y = 1500(0.024)^t[/tex]
Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]
Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
Answer:
a) 3√3b) √7Step-by-step explanation:
a)
7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3b)
5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√72 = 9 + 5/2
please answer this
Answer:
false
Step-by-step explanation:
Answer:
Convert 529 5 2 9 to an improper fraction.
Step-by-step explanation:
Divide. Write the quotient in lowest terms.
5 divide 3 1/3
Answer:
3/2 or 1 1/2
Step-by-step explanation:
5÷3 1/3
5/1 ÷ 10/3 because you have to get it into an improper fraction form in order to divide
5/1 × 3/10 because you have to multiply the first number by the reciprocal
5 and 10 cancel out so you would have 2 at the bottom
3/2 or 1 1/2
Need help ASAP giving 35 points and giving a branliest
Answer:
B. 1 1/9 ft³Step-by-step explanation:
Sides of the prism:
2*1/3 = 2/3 ft3*1/3 = 1 ft5*1/3 = 5/3 ftVolume:
2/3*1*5/3 = 10/9 = 1 1/9 ft³Can someone who is good at math help? I only need 1a
Answer:
The radius would be 12cm
and the height 4
gives u the surface area of 1206cm^3
Step-by-step explanation:
Find the greatest common factor gcf of the set of numbers (27,36,45
The graph represents function 1, and the equation represents function 2:
Function 2
y = 5x + 4
How much more is the rate of change of function 2 than the rate of change of
function 1? (4 points)
Primarily, horizontal lines mean zero slope. Therefore the equation is y= 3 because you are only left with the y-intercept at this point. The rate of change is another way of saying slope. Function 2's slope is 5 and function 1's slope is 0. Therefore, the rate of change of function 2 is greater than the rate of change of function 1 by 5.
5 is the answer.
hope this helps :)
A salesperson sold a car for $18,200 and their commission is $700. What percentage of the sale price is their commission?
Rx: Ceftriaxone 500 mg IVPB in DSW 50 ml, infuse over 30 min q12h. The 2-g ceftriaxone vial states that if you reconsti- tute with 8.6 ml, the resulting final volume of the vial is 10 ml. a. How much diluent would be added to obtain a vial concentration of 1 g/10 mL? b. If the vial is diluted to 1 g/10 mL, how much drug would be drawn up for one dose? c. How many doses are available in one 2-g vial? d. How many vials would be needed to prepare a 7-day supply? e. If you were preparing a 7-day supply, how many 20-mL vials of sterile water would you need to reconstitute the ceftriaxone vials? f. If the 500-mg dose is added to DSW 50 ml, what is the total volume of one IVPB?
Gavin is moving into a new ampartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than 1 _ 3 the area of the bedroom, what is the area of gavin's bedroom?
Answer:
[tex]B =120[/tex]
Step-by-step explanation:
Given
Represent Kitchen with K and Bedroom with B.
So:
[tex]K = 50ft^2[/tex]
[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area
Required
Determine the bedroom area
The expression of K and B has been determined above.
The next step is to substitute 50 for K in the second equaion
[tex]K = 10 + \frac{1}{3}B[/tex]
[tex]50 = 10 + \frac{1}{3}B[/tex]
Multiply through buy 3
[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]
[tex]150 = 30 +B[/tex]
Make B the subject
[tex]B =150 - 30[/tex]
[tex]B =120[/tex]
Hence, the area of the bedroom is 120ft^2
Answer:
120
Step-by-step explanation:
no explanation
6th Grade Math! Can you please help?
Answer:it is c and d
Step-by-step explanation:
y=x+3
y=x-3
Solve these equations
Answer:
what is x?
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Cory has a sister named Jessica. Jessica is 7
years older than twice Cory's age. Write an
expression that represents the relationship of
Jessica's age in terms of Cory's age, c.
Answer:
2c+7
Step-by-step explanation:
Jessica is 7 more than 2x Cory's age.
Given that Cory is c years old,
then Jessica is
2c+7
I hope this helps! :)
White-sided jackrabbits: 9.7x2 – 0.8x + 2.3 Black-tailed jackrabbits: -1.1x2 + 7.7x + 5.4
What polynomial models the total number of white-sided and black-tailed jackrabbits?
A. -8.6x2 + 6.9x – 7.7
B. 8.6x2 - 6.9x + 7.7
C. 8.6x2 + 6.9x + 7.7
D. 8.6x2 – 6.9x – 7.7
A tub of water is emptied at a rate of 3 gallons per minute. The equation y-12=-3(x-1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons).Write the equation in slope-intercept form
Answer:
it is a
Step-by-step explanation:
i took the quiz
Answer:
The tub started with 15 gallons of water
Step-by-step explanation:
woof woof
Please help please please ASAP please please
Step-by-step explanation:
ac is the answer
.............
Gerald read 6/7 of a book. Mary read 2/7 of the same book.
How much more of the book did Gerald read?
Answer:
4/7
Step-by-step explanation:
6/7-2/7=4/7
Answer:
I believe that the answer is 4/7
Modell’s sports store has a 30% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?
What is the area, in square feet, of the trapezoid below?
Answer:
68.75
Step-by-step explanation:
Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.
13.6 + 5.9= 19.5
19.5 + 8 = 27.5
27.5 x 5 = 137.5
137.5 x 1/2 = 68.75
x + 6 ≥ 4 and 3x + 5 ≤ 5
What is the simplified form of
of (-7xº+5x²-x+6)-(-8x2 + x +3)?
ОА.
-x + 4x2 - x+3
OBX + 4x² - x+3
ocx - 4x² – 2-3
D. -15x + 6x? - X+9
Please I need help immediately
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Answer:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)[/tex]
solving the expression
[tex]=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=-7+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
[tex]=-7+5x^2-x+6+8x^2-x-3[/tex]
simplify
[tex]=13x^2-2x-4[/tex]
Therefore, the simplified form is:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
1 A fishbowl shaped like a sphere is filled with water. The fishbowl has a
diameter of 16 inches. Which measurement is closest to the volume of water
in the fishbowl in cubic inches?
Answer:
2145 cubic inches
Step-by-step explanation:
formula for Volume of a sphere: 4/3·π·r³
V = 4/3 ·π ·(8)³
V = 4/3π · 512
V ≈ 2145
What is the range of the following numbers:
12,20,18,25,6
Answer:
19
Step-by-step explanation:
You need to find the biggest and smallest number; 25,6
Then you subtract 6 from 25
25-6=19
I hope this helps!!!!!!!
Answer:
19
Step-by-step explanation:
The range is the difference between the highest and the lowest number
So 6, 12, 18, 20, 25 and 25-6 = 19