At the market, you buy a soda for
$1.75 plus 3 bags of chips. If your
total was $4.72 without tax, how
much did each bag of chips cost?
WRITE AN EQUATION and solve.
Please hurry
Answer:
Each bag of chip costs 0.99 (99 cents)
Step-by-step explanation:
Soda = 1.75
Bag of chips = x
1.75 + 3x = 4.72
Subtract 1.75 from both sides;
3x = 2.97
Divide both sides by 3;
x = 0.99
The radius of the base of a cylindrical tank is 25cm,if the water level rises 10cm/s .Calculate the change in volume of water in the tank after 35seconds. Can you help me with this question?
Answer:
The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.
Step-by-step explanation:
Geometrically speaking, the volume of the cylindrical tank ([tex]V[/tex]), measured in cubic centimeters, is determined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
By Differential Calculus, we obtain a formula of the rate of change of the volume of the cylinder ([tex]\dot V[/tex]), measured in cubic centimeters per seconds:
[tex]\dot V = \pi\cdot r^{2}\cdot \dot h[/tex] (2)
Where [tex]\dot h[/tex] is the rate of change of the water level, measured in centimeters per second.
Given that the rate of change of the water level is constant, then the rate of change of the volume of the cylinder is also constant. Hence, the change in the volume of the cylinder ([tex]\Delta V[/tex]), measured in cubic centimeters, is:
[tex]\Delta V = \pi\cdot r^{2}\cdot \dot h \cdot \Delta t[/tex] (3)
If we know that [tex]r = 25\,cm[/tex], [tex]\dot h = 10\,\frac{cm}{s}[/tex] and [tex]\Delta t = 35\,s[/tex], then the change in the volume of water in the tank is:
[tex]\Delta V = \pi\cdot (25\,cm)^{2}\cdot \left(10\,\frac{cm}{s} \right)\cdot (35\,s)[/tex]
[tex]\Delta V \approx 687223.393\,cm^{3}[/tex]
The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.
and this one please.
Answer:
x = (3 + 8y) / (y - 1)
Step-by-step explanation:
y = (x + 3) / (x - 8)
Make x the subject
y = (x + 3) / (x - 8)
Cross product
y * (x - 8) = (x + 3)
xy - 8y = x + 3
xy - x = 3 + 8y
Factorize the left hand side of the equation
x( y - 1) = 3 + 8y
Divide both sides by (y - 1)
x = (3 + 8y) / (y - 1)
This recipe makes 24 cupcakes.
Deepak only wants to make 16 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 24 cupcakes
12 ounces butter
6 ounces sugar
9 ounces flour
3 eggs
please help
Answer:
Deepak only wants to make 16 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 16 cupcakes
8 ounces butter
4 ounces sugar
6 ounces flour
2 eggs
Step-by-step explanation:
Answer:
butter: 8
sugar: 4
flour: 6
eggs: 2
Step-by-step explanation:
Multiply by 2/3.
PLEASE HELPP Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
12/90 = 6/45 True
False
8/12 = 5/8
9/36 = 3/12
7/21 = 5/15
Answer:
12/90=6/45 and false is 8/12 = 5/8
dj
If bricks are each 3 inches × 4 inches × 8 inches, how many bricks can be fit into a space which is 1 foot × 4 feet × 8 feet?
A 1 to 250
B 251 to 500
C 501 to 750
D 751 to 1000
E >1000
Answer:
The correct option is B.
Step-by-step explanation:
Consider the provided information.
The dimensions of bricks are in inches so convert foot into inches.
1 foot = 12 in
4 feet = 48 in
8 feet = 96 in
To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.
[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]
[tex]\text{Number of bricks in space}=576[/tex]
Hence, 576 bricks can be fit into a space.
Therefore the correct option is B.
I'll give brainliest if I get the question correct. =)
Step-by-step explanation:
We have logb(8) = 3 and logb(0.5) = -1.
=> b³ = 8 and 1/b = 0.5
=> b = 2.
Therefore,
logb(4b) = log2(8) = 3.
Answer:
We have, logb(8)=3 and logb(0.5)=-1
→b³=8 and 1/b=0.5
→b=2
Therefore,
logb(4b) = log2(8)=3.
Solve by either substitution or elimination.
2x + 2y = 6 x + y = 4
Answer:
No solution
Step-by-step explanation:
If you were to do elimination, both the x and the y would cancel out and get 0=1, which is not true. And if you were to do it as substitution, then it would still get an answer that doesn't make sense.
Which expression is equivalent to 3m+1-m?
2+m-1+m
1+m
3m+1
3m
a trail mix recipe calls for 3/4 a cup of raisins for every 5/8 of a cup of peanuts. how mant peanuts will be needed for 1 cup of rason?
Answer:
5/6 rup of raisins?
Step-by-step explanation
Sorry if that is wrong
The dance committee has $75 to spend on centerpieces. They spent $30 on flowers.
If each vase costs $3, write and solve an inequality to find how many vases they
can buy. (Example 3)
Plzzz help I only have till 11 to finish these
Answer:
135
Step-by-step explanation:
75 x - 30 = 45
Inequality
45 x 3 =
135 (Inequality)
(7a – 6) + 3.- 8a – (-2a +5).
Answer:
a - 8
Explanation:
7a−6+3−8a−(−2a+5)
Distribute the Negative Sign:
=7a−6+3−8a+−1(−2a+5)
=7a+−6+3+−8a+−1(−2a)+(−1)(5)
=7a+−6+3+−8a+2a+−5
Combine Like Terms:
=7a+−6+3+−8a+2a+−5
=(7a+−8a+2a)+(−6+3+−5)
=a + −8
Answer:
= a − 8
20 pts, unhelpful/blank answers get reported~
Which ordered pair is a solution to the system of inequalities shown on the graph?
A. (3, 3)
B. (5, 2)
C. (-2, 1)
D. (1, -2)
Answer:
b
Step-by-step explanation:
What is the end behavior of the polynomial function?
Answer:
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
HOPE THIS HELPS
What is the value of x? Trigonometry
A) 26.35
B) 26.9
C) 51.96
D) 65.58
Step-by-step explanation:
By Sine Rule,
x/sin42° = 37/sin110°.
Hence x = 37sin42°/sin110° = 26.35 in. (A)
please help i will mark brainliest
Answer:
2
Step-by-step explanation:
Answer:
So I'm not going to give you the answer but
Step-by-step explanation:
for x left is - and right is +
for y down is - and up is +
A math club decided to buy t-shirts for its members. A clothing company quoted the following prices for the t-shirts. Which equation best describes the relationship between the total cost, y, and the number of t-shirts x?
A. Y= 6.75x
B. Y=9x
C. Y=2x-20
D. Y=6x + 15
Answer:
Its D
Step-by-step explanation:
Simplify and solve for x
5 (x + 20) = 7x + 30
Answer:
x = 35
Step-by-step explanation:
5(x + 20) = 7x + 30
Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.
5x + 100 = 7x + 30
Subtract 7x from both sides.
-2x + 100 = 30
Subtract 100 from both sides.
-2x = -70
Divide both sides by -2.
x = 35
Due to the closure of the pulp and paper mill, the population of the small town is
decreasing at a rate of 12% annually. If there are now 2400 people living in the town,
what will the town's projected population be in eight years?
Answer:
The population will be 863 in the next eight years
Step-by-step explanation:
Here, we want to know the population of the town in 8 years, given the percentage decrease and the present population
The exponential equation to use is that;
P = I( 1 - r)^n
where P is the future population we want to calculate
I is the present which is 2,400
r is the percentage of decay given as 12% = 12/100 = 0.12
n is the number of years which is 8
Substituting these values, we have that
P = 2,400(1 - 0.12)^8
P = 2,400(0.88)^8
P = 863
A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded monthly.
A) 12y
B) 12y 4m
C) 12y 8m
D) 13y
9514 1404 393
Answer:
C) 12y 8m
Step-by-step explanation:
The amount of principal P at compound monthly at interest rate r per year is given by ...
A = P(1 +r/12)^(12t) . . . . after t years
Here, we want to find t, so ...
A/P = (1 +r/12)^(12t)
log(A/P) = (12t)·log(1 +r/12)
t = log(A/P)/(12·log(1 +r/12))
Filling in the given values, we find t to be ...
t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months
It will take about 12 years 8 months to double the money.
Simplify the expression below using the distributive property.
Answer:
9+11i
Step-by-step explanation:
the length of a rectangle is 1 1/8 cm longer than the width. The perimiter of the rectangle is 13 1/4 cm. What are the width and length?
Answer:
Length = 3 7/8cm
Width = 2 3/4 cm
Step-by-step explanation
Let the length of the rectangle by L
Let the width be W
If the length of a rectangle is 1 1/8 cm longer than the width, then;
L = W + 1 1/8
L = W +9/8
perimeter of the rectangle = 2(L+W)
perimeter of the rectangle = 2(W + 9/8 + W)
13 1/4 = 2(2W + 9/8)
53/4 = 4W + 9/4
4W = 53/4 - 9/4
4W = 44/4
4W = 11
W = 11/4
Hence the width of the rectangle is 11/4 or 2 3/4 cm
Recall that L = W + 9/8
L = 11/4 + 9/8
L = (2(11) + 9)/8
L = 31/8
L = 3 7/8cm
hence the length is 3 7/8 cm
Answer:
Length = 3 7/8cm
Width = 2 3/4 cm
A quilt has a side lengths of (2x+4) and (3x+3), what is the area of the quilt.
Answer:
[tex]Area \: of \: the \: quilt \: is \: length \times breadth \\ = (2x + 4)(3x + 3) \\ = 6 {x}^{2} + 6x + 12x + 12 \\ = 6 {x}^{2} + 18x + 12[/tex]
6x^2+18x+12 is the right answer.PLEASE HELP ASAP, ILL GIVE BRAINLIEST
Answer:
false, false, true, true, true
Step-by-step explanation:
Let's check each of the answers by plugging them into the inequality.
-2 (false):
[tex]9-3(-2)<12\\9-(-6)<12\\9+6<12\\15<12[/tex]which is false.
-1 (false):
[tex]9-3(-1)<12\\9-(-3)<12\\9+3<12\\12<12[/tex]which is false.
0 (true):
[tex]9-3(0)<12\\9<12[/tex]which is true.
1 (true):
[tex]9-3(1)<12\\9-3<12\\6<12[/tex]which is true.
2 (true):
[tex]9-3(2)<12\\9-6<12\\3<12[/tex]which is true.
Tom's Landscaping charges a flat fee for supplies, plus $25 per hour of work. Tom charged a customer $90 for a job that required 3 hours of work. Which equation would calculate the total amount Tom's Landscaping charges for a job that requires x hours of work?
Answer:
c=15+25x
Step-by-step explanation:
From the information given, you can say that the total amount Tom's Landscaping charges for a job would be equal to the flat fee plus the result of multiplying the charge per hour for the number of hours and this would be:
c=y+25x (1), where:
c is the total cost
y is the flat fee
x is the number of hours
Now, as you know that Tom charged a customer $90 for a job that required 3 hours, you can replace c with 90 and x with 3 and solve for y to find the flat fee:
90=y+25(3)
90=y+75
90-75=y
y=15
Finally, as you know that the flat fee is 15, you can replace this value in (1) to establish the equation that would calculate the total amount that Tom's Landscaping charges for a job that requires x hours of work:
c=15+25x
PLEASE ANSWER FAST ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
answer like
answer 1 is .__________________
answer 2 is .__________________
answer 3 is .__________________
answer 4 is .__________________
Answer:
1. D
2. C
3. A
4. B
Step-by-step explanation:
mark me brainliest if im right
Answer:
1. D
2. C
3. A I think
4. B
Step-by-step explanation:
1. The shown equation has a value of negative twelve and so does the equation 4n+8
2. If you use distributive property than you can get this answer
3. It shows the equation to a solve the problem
4. It is the best example that shows how to find how many nickels that Jeremy has
. A swimming pool is in the shape of a rectangle and is 15 feet wide by 25 feet long. How far is it from one corner of the pool to the opposite corner of the pool?
Answer:
29.15 feet
Step-by-step explanation:
Pythagorean theorem
plplpl solve the answer
Given:
The expression is:
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
It can be rewritten as
[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]
[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex] [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]
[tex]=\dfrac{-8}{9}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
The value of given expression is [tex]\dfrac{-8}{9}[/tex].
Therefore, the correct option is b.
ppl on Tik t0k was begging her to drop this song she took so long to drop it finally came out today the snippet sounded so good that why they was begging it even got a dance to it I listen to the full song it sound trash some ppl did that too but a lot of them was saying it sound different before it was on a speaker
REEEEEEEEEEEEEEEeeEEEEEEEEEEEEEEEEEEEEEEEEEe
Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. 1.5 quarts of seafoam paint is made of 70% blue, 30% yellow. Use the percent equation to find how much yellow paint they should use.
Answer:
0.45
Step-by-step explanation:
30% of 1.5 = 0.45
Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. [tex]1.5[/tex] quarts of seafoam paint is made of [tex]70[/tex]% blue, [tex]30[/tex]% yellow.
So,
[tex]30[/tex]% of [tex]1.5[/tex] is
[tex]\frac{30}{100}[/tex] ×[tex]1.5=0.45[/tex] %
Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.
To know more about the percentage
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