Answer:
A: Spent = 12c + 7b + 24
B: 93 dollars
Step-by-step explanation:
Cost = 12*c + 7*b + 24
If c = 4 and b = 3 then the total cost is
Cost = 12*4 + 7*3 + 24 Substitute and combine factors
Cost = 48 + 21 + 24 Combine Terms
Cost = 93 dollars Answer
Maggie's total spending is represented by the expression 12c + 7b + 24. When purchasing 4 CDs and 3 books, plus a purse, she spent $93.
Explanation:The total amount of money Maggie spent can be represented by the expression: c CDs at $12 each + b books at $7 each + 1 purse at $24.
So, the expression is 12c + 7b + 24.
Given that Maggie bought 4 CDs and 3 books, the total amount spent is calculated as follows:
For CDs: 4 CDs × $12/CD = $48For books: 3 books × $7/book = $21For the purse: $24 (since only one purse was bought)Adding these amounts together gives us: $48 + $21 + $24 = $93.
Therefore, Maggie spent a total of $93 for 4 CDs, 3 books, and a purse.
247x82 using in area model
247x82=534 5 go in the hundreads place 3 go in the tens place and 4 go in the ones place
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?
Will give brainliest. Some one please help your mans out please.
Identify the range of the function.
A)
R:{y| 0 ≤ y < 5}
B)
R:{y| 0 < y ≤ 5}
C)
R:{y| −4 ≤ y < 4}
D)
R:{y| −4 < y ≤ 4}
Answer:
a) R: { y | 0 ≤ y < 5 }
Step-by-step explanation:
The lowest point on the graph (-4, 0) - point painted over ( ≤ ).
The highest point of the chart - close (4, 5) - point not painted over ( < ).
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:
In the diagram shown, ∠a and ∠h are______. A) vertical angles B) linear pair angles C) corresponding angles D) alternate exterior angles
Answer:
The correct answer is D) Alternate Exterior Angles
Answer: D) Alternate Exterior Angles
Step-by-step explanation: Did it on USATP !
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
Does this graph represent a function?Why or why not?
No, it does not have a straight line. (A)
Hello, floresvanexel4pejp1p
Your question: Does this graph represent a function?Why or why not?
My answer: No, Because there are no straight lines so in that order your answer will be A
Important:I hope my answer helped if it did please mark me as brainliest thank you and have the BEST day ever!
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:
https://brainly.com/question/17287188
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
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]
-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
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.
Sylvie finds the solution to the system of equations by graphing. y = 2/3 x + 1 and y = -2/3x – 1
Which graph shows the solution to Sylvie’s system of equations?
Remark
One of the ways you could solve this is to go to a place like Desmos and graph it for yourself. Then at least you would know what the answer looked like. Another way is to solve for the x value by equating the equations since the y has to be the same. We'll do both.
Solve For X
(2/3)x + 1 = -(2/3)x - 1 Add 1 to both sides
(2/3)x + 1 + 1 = - 2/3x Subtract (2/3x) from both sides.
2 = (-2/3)x - (2/3)x
Show the graph and comment
Notice that there is only one graph given that has a value of x = - 3/2 Normally you are not that lucky. Thanks for putting the graphs in. We are usually not that lucky and have to guess at the answer if it is a graph.
2 = - 4/3x Multiply both sides by 3
2 * 3 = - 4x
6 = - 4x Divide by - 4
6/-4 = x Reduce
-3/2 = x
Remark
The x value is wrong for the one on the left. It is also wrong for the third one from the left. And the last graph is also incorrect. Only the second from the left gives the right answer.
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.
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
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
Five ones and eight tenths Fifty-eight tenths which is greater
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
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]
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
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
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:
25 points! Please help!
I need help! You have 5 attempts and if you are wrong, I will let you know so you can make corrections and I get the right answer.
Obviously, if he were to only maximize his income he would put all money on the higher interest. But to reduce the risk he will balance the investment. He will put a fraction a (between 0 and 1) of the 710000 on 1% and the rest (1-a) on the 4.5%. Both interests together must then satisfy to add up to 18000.
So written as an equation:
[tex]710000\cdot a\cdot 0.01 + 710000\cdot(1-a)\cdot 0.045 = 18000[/tex]
I am not going to solve step by step assuming you can solve for a (if not let me know) but the solution is
[tex]a = 279/497[/tex]
So that means he should put
[tex]710000\cdot \frac{279}{497} \approx 398571[/tex] on the 1% account, and the rest 311429 on the riskier 4.5% account.
Augusta sells t-shirts at the school store. On Tuesday, Augusta sold 7 less than twice the number of t-shirts she sold on Monday. She sold 3 t-shirts on Tuesday. Write an algebraic equation to represent m, the number of t-shirts August sold on Monday.
Since it is true that 9=9, the answer x=2 works.
As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation.
Here are the properties of equality you need to isolate terms and solve equations.
The Subtraction Property of Equality is used when you have an equation with addition in it. It states that you can subtract the same quantity from both sides of the equation without changing the equality.
The Addition Property of Equality is used when you have an equation with subtraction in it. It states that you can add the same quantity to both sides of the equation without changing the equality.
The Division Property of Equality is used when you have an equation with a variable multiplied by a number. It states that you can divide both sides of an equation by the same quantity (as long as that quantity is not equal to zero) without changing the equality.
The Multiplication Property of Equality is used when you have an equation with a variable divided by a number. It states that you can multiply both sides of an equation by the same quantity without changing the equality.
Let’s look at an example and use properties of equality to isolate the variable and solve the equation.
Mark me as brainliest anser
You start at (8, 1). You move right 2 unit and left 3 units. Where do you end?
You should end around: (9,1) hope this helps!
if you move right 2 and left 3 one time you get 10.4, do it again you get 11.7 again 13.10
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]
how do you write 403.608 in words
Four hundred three and six hundred eight thousandths.
Four hundred-three and six hundred-eight thousandths.
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!
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.
Learn more about Graphing Inequalities here:https://brainly.com/question/34061394
#SPJ3
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.