answer: $94.12
work:
let's start by finding the tax.
step one: convert the percentage into a decimal by dividing it by 100.
4 / 100 = 0.04
next, multiply your total by the tax
$90.5 x 0.04 = 3.62.
next, add the tax to the original price to see your new total.
$90.5 + $3.62 = $94.12
so, your total with tax would be $94.12.
i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom
slove for x.3(x-3)-4x greater than or equal to -3
[tex]3(x-3)-4x\geq-3\\\\3x-9-4x\geq-3\\\\-x\geq6\\\\x\leq-6[/tex]
The temperature in Lukeville is -13°C the temperature in Metroburg is 12°C what is the difference between the temperatures in the two cities?
need help with apex im not good at algebra at all
g(x) = ax²
We have a point (1, 5).
Substitute x = 1 and g(x) = 5
a(1²) = 5
a = 5
Answer: B. g(x) = 5x²
help me please having trouble
A coffee merchants want to make 6 pounds of a blend of coffee costing five dollars per pound. The blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. How many pounds of each of these grades should be used?
Answer:
We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
Step-by-step explanation:
The blend should,
Cost = $5
Weigh = 6 pounds.
Lets take the weight of $6 coffee as [tex]x[/tex] pounds
And lets take the weight of $3 coffee as [tex]y[/tex] pounds.
Lets write an equation for the weight of the blend,
[tex]x+y=6[/tex] <---------- 1st equation.
[tex]\frac{6x+3y}{x+y} =5[/tex]
=[tex]6x+3y=5x+5y[/tex]
=[tex]x=2y[/tex] <---------- 2nd equation
We can substitute to x in 1st equation from 2nd equation,
⇒[tex]2y+y=6[/tex]
=[tex]2y+y=6[/tex]
=[tex]3y=6[/tex]
=[tex]y=2[/tex]
We can substitute y value to 2nd equation to find x,
⇒[tex]x=2y[/tex]
=[tex]x=2*2[/tex]=[tex]x=4[/tex]
Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
A high definition radio station charges $200 per year in addition to $50 per month for the first 3 months to receive its broadcast. Write a function using function notation to describe the situation.
Let's assume
number of months =x
A high definition radio station charges $200 per year
so, we get point as (0,200)
Assume
f(x) is the total amount of charges in a year
we can see that this is linear relationship
so, we can use formula
[tex]f(x)=mx+b[/tex]
in addition to $50 per month for the first 3 months to receive its broadcast
so, m=50
we can plug it
[tex]f(x)=50x+b[/tex]
we can use point as (0,200)
[tex]200=50*0+b[/tex]
[tex]b=200[/tex]
now, we can plug it back
and we get
[tex]f(x)=50x+200[/tex]...............Answer
Is 2/5 greater than or less than 35/100? Please help and FAST!
Answer:
greater
Step-by-step explanation:
bc 2/5 x 20 ( which makes the denominator 100) makes 2/5 —> 40/100.
Evaluate the following expression when n = -7.
-9|n + 5|
Answer:
-18
Step-by-step explanation:
The tall sticks around n+5 are absolute value signs. Basically, all you need to do is work out what the answer to the problem is inside the signs, then make whatever the answer is positive, then multiply by -9.
-7 + 5 = -2 (that turns into 2)
-9 x 2 = -18
Two triangles are similar. The dimensions of the first are 7, 8, and 10, while the dimensions of the second one are 3.5, 4, and 5. The scale factor used to get from the first triangle to the second one is ________. WILL MARK BRAINLIEST
The scale factor would be 0.5 or 1/2
Angle(<)K and <L are complementary angles. If m<K = 3x+3 and m<L = 10x-4, find the measures of both angles.
3x+3 + 10x-4 +90 (because complementary angle add up to 90)
13x-1+90 (add 1)
13x/13=91 (divide 13 on both sides)
x=7
now you fill in 7 for x
m<K=24 and m<L=66
hope i helped
The measures of both angles are 24° and 66°.
Given:
m<K = 3x + 3
m<L = 10x-4
Note:
Complementary angles are angles whose sum equals 90 degrees.
Therefore:
[tex]m \angle K + m \angle L = 90^{o}[/tex]
Substitute
[tex](3x+3) + (10x-4) = 90[/tex]
Solve for x
[tex]3x+3 + 10x-4 = 90\\[/tex]
Add like terms
[tex]13x-1 = 90\\[/tex]
Add 1 to both sides
[tex]13x = 90 + 1\\13x = 91[/tex]
Divide both sides by 13
[tex]x= 7[/tex]
Substitute the value of x in each of the expressions of the two given complementary angles.
[tex]m\angle K = 3(7) + 3 = 21 + 3\\m\angle K = 24^{o}[/tex]
[tex]m\angle L = 10(7) - 4 = 70 - 4 \\m\angle L = 66^{o}[/tex]
Therefore, the measures of both complementary angles are: 24° and 66°.
Learn more about complementary angles here:
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-12(x+2)=6(-4-2x)+4x
-12(x+2)=6(-4-2x)+4x
-12x-24=-24-12x+4x
x=0
x is equal to zero. Distribute The -12 to x and 2. Then distribute the 6 to -4 and -2.
That gives you -12-24=-24-12x+4x
combining like terms gives you -12-24=24-8x
next you should get x by itself. that gives you 0 as the final answer
On the first day of the food drive, Mrs. Teasley's classes brought in 6 cans of fruit, 4 cans of beans, 7 boxes of noodles, and 4 cans of soup. Find the ratio of cans of fruit to the total number of food items collected. Then explain its meaning
You would add up all the food items total, and then compare that to only the fruit. so the total number is 21, and the number of fruit is 6. So the ratio should be 6:21
fruit:total food items
I believe that this is the answer, but I am not 100% sure
there are 24 people at a party twice many female as males and 5 times children as adults how many males are there and how many children are at the party
Answer: There are 4 adults. Two males. 16 children.
Step-by-step explanation:
2 x 2 = 4
4 adults
4 x 5 = 20
20 + 4 = 24
24 = 24
Answer:
Exact same way:
4 adults,
2 males & 2 females,
and 16 children
Step-by-step explanation:
Exactly as his!
natasha is filling a swimming pool . the water rises 1/3 foot every hour. the pool is 4 feet deep how long will it take to fill the pool?
The water is rising at a rate of 1/3 foot per hour. That means it will take 3 hours to fill 1 foot. Now multiply 3 times 4, because it takes 3 hour for every foot. That equals 12. That means it will take Natasha 12 hours to fill the 4 foot pool. Hope that helps!
graph the solution x
Answer:
I think you need to put more info
Step-by-step explanation:
Beth swam laps to raise money for a charity. Beth raised $15 plus $0.65 per lap that she swam. She raised a total of $80.
Let x represent the number of laps Beth swam.
What expression completes the equation to determine the total number of laps Beth swam?
How many laps did Beth swim?
The expression you would use is 15 + .65x = 80. If you solve for x, Beth swam 100 laps.
Hope its correct and good luck :)
rewrite, differentiate and simplify:
3/(2x)^3
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]
let y = [tex]\frac{3}{(2x)^{3} }[/tex] = [tex]\frac{3}{8}[/tex] [tex]x^{-3}[/tex]
differentiate using the power rule
[tex]\frac{d}{dx}[/tex] ([tex]ax^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8}[/tex][tex]x^{-4}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]
Estimate then record the product 293*4
I believe that the equations answer is around 1170. The answer to the equation is 1172
Answer:
1172
Step-by-step explanation:
mx=n-p solve this equation for x
x = [tex]\frac{n-p}{m}[/tex]
isolate x by dividing both sides by m
x = [tex]\frac{n-p}{m}[/tex]
Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount of time that 5 people working together were able to plant 20 trees.” The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation , and Greta wrote the equation . Which person is correct, and why? Kelly is correct; each person plants more trees than the person before them. Kelly is correct; and . Greta is correct; each person plants 4 more trees than the person before them. Greta is correct; and .
Answer: Greta is correct.
Explanation:
Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.
For example:
4x = 4(1) = 4 trees; and
4 x 5 = 20
but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.
Answer:
the answer is D
Step-by-step explanation:
The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?
about 51 feral cats
about 459 feral cats
about 428 feral cats
about 32 feral cats
You would solve the problem by substituting 9 for x in the equation f(x) = 50(0.952)^x. After calculating it, the estimated number of feral cats in 9 years is 32.
Explanation:The function given is f(x) = 50(0.952)^x, which models a declining feral cat population. To find out how many feral cats there will be in 9 years, plug in 9 for x in the formula: f(9) = 50(0.952)^9. Upon calculation, this equals approximately 32, hence, there would be about 32 feral cats after 9 years.
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The model f(x) = 50(0.952)x is used to predict the declining feral cat population over time. By substituting x = 9, we can predict there will be about 32 feral cats in 9 years.
Explanation:The function f(x) = 50(0.952)x describes the declining population of feral cats over years. To determine the number of feral cats in 9 years, we substitute x = 9 in the function.
Therefore, f(9) = 50 * (0.952)9.
When you compute this, you get approximately 32, so at the end of 9 years, we expect about 32 feral cats.
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What property is 2(a plus b) equal to 2 times a plus 2 times b
It is the distribution property. That meas that 2(a + b) = 2a + 2b. to make sense of this plug in any tow numbers for a and b and solve. I will use a = 4, and b = 10. So that would plug into the statement like this; 2(4 + 10) = 2(4) + 2(10). 2(14) = 8 + 20. 28 = 28.
Answer:
The distributive porperty
Step-by-step explanation:
how do you write 403.608 in words
Four hundred three and six hundred eight thousandths.
Four hundred-three and six hundred-eight thousandths.
X is greater than or equal to 6 graph the inequality
To graph the inequality x is greater than or equal to 6, mark the number 6 on a number line with a closed circle and shade the area to the right of it.
Explanation:To graph the inequality x is greater than or equal to 6, draw a number line and mark 6 with a closed circle to indicate that it is included in the solution set. Then, shade the area to the right of 6 to represent all the values that are greater than or equal to 6.
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What is 4,396.92 rounded to the. Nearest whole number
Answer:
4397
Step-by-step explanation:
Because 9 is closer to another 0, so you would round the 6 to a 7.
Show all your work plz!! Use the Substitution method to solve the system of equations. x + y = 20 30x + 25y = 550
x + y = 20
30x + 25y = 550
Using the first equation, we can find a temporary value of x.
x = 20 - y
Now that we have a value of x, we can plug it into the second equation to find the exact value of y.
30x + 25y = 550
30(20 - y) + 25y = 550
Distributive property.
600 - 30y + 25y = 550
Combine like terms.
600 - 5y = 550
Add 5y to both sides.
600 = 550 + 5y
Subtract 550 from both sides.
50 = 5y
Divide both sides by 5.
y = 10.
Now we can plug the value of y into the original equation to find the value of x.
10 + x = 20
Subtract 10 from both sides.
x = 10
The value of x is equal to 10, and the value of y is also equal to 10.
solution is (x, y ) = (10, 10)
given
x + y = 20 → (1)
30x + 25y = 550 → (2)
from (1) y = 20 - x → (3)
substitute y = 20 - x in (2)
30x + 25(20 - x) = 550
30x + 500 - 25x = 550
5x + 500 = 550 ( subtract 500 from both sides )
5x = 50 ( divide both sides by 5 )
x = [tex]\frac{50}{5}[/tex] = 10
substitute x = 10 in (3) : y = 20 - 10 = 10
thus x = 10, y = 10 is the solution
Alexis has a rectangular piece of red paper that is 4 centimeters wide. It’s length is twice it’s width. She glued a rectangular piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square units of red paper will be visible on top?
for the rectangular red paper :
w₁ = width of the red paper = 4 cm
L₁ = length of red paper = 2 w = 2 x 4 = 8 cm
A₁ = area of the red paper = L₁ w₁ = 8 x 4 = 32 cm²
for the rectangular blue paper :
w₂ = width of the blue paper = 3 cm
L₂ = length of blue paper = 7 cm
A₂ = area of the blue paper = L₂ w₂ = 7 x 3 = 21 cm²
area visible is given as
A = A₁ - A₂ = 32 cm² - 21 cm² = 11 cm²
so 11 square units of red paper will be visible on top
The equation 3.3x − 6.6 = 2.7x can be transformed to form which of the following expressions?
a. 6.0x = 6.6
b. 0.6x = 6.6
c. 6.0x = −6.6
d. 0.6x = −6.6
Answer:
3.3x − 6.6 = 2.7x ⇔ 0.6x = 6.6
B is correct
Step-by-step explanation:
The equation 3.3x − 6.6 = 2.7x can be transformed to another form.
Given
3.3x − 6.6 = 2.7x
Move all variable same side. using subtraction property of equality
subtract 2.7x both sides
3.3x -2.7x − 6.6 = 0
0.6x - 6.6 = 0
Addition property of equality
0.6x = 6.6
Hence, The equivalent equation is 0.6x = 6.6
Answer:
Step-by-step explanation:
3.3x - 2.7x = 6.6
0.6x = 6.6
answer is B
answer is also 11
Five ones and eight tenths Fifty-eight tenths which is greater
200 kids came to a fundraiser. He found out that 60 people like rap. What percent of people like rap?
I believe it is 30% because you can divide 200 in half to get it out of 100, and then divide 60 in half to make it even! (i’m sorry if this doesn’t make sense)
Final answer:
To calculate what percent of people like rap out of 200 who came to a fundraiser, divide the 60 people who like rap by 200 and multiply by 100, resulting in 30% of people liking rap.
Explanation:
The question asks us to calculate what percent of people like rap out of 200 kids who came to a fundraiser. To find the percentage of people who like rap, we use the basic formula for finding percentages: (Part / Whole) × 100. Here, the 'Part' is the number of people who like rap, and the 'Whole' is the total number of kids who came to the fundraiser.
Given:
Part (people who like rap) = 60
Whole (total kids at the fundraiser) = 200
Using the formula, we calculate the percentage as follows:
(60 / 200) × 100 = 0.3 × 100 = 30%.
Therefore, 30% of the people at the fundraiser like rap.