Question:
You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.
Interpret their meaning.
Answer:
The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.
The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.
Step-by-step explanation:
Given
$10 per short sleeve
$15 per long sleeve
Budget = $300
The above can be represented as:
Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget
i.e.
[tex]10 * x + 15 * y =300[/tex]
[tex]10x + 15y =300[/tex]
To solve for the y intercept, we set x to 0
[tex]10 * 0 + 15y =300[/tex]
[tex]15y =300[/tex]
Divide through by 15
[tex]y = 20[/tex]
This implies that, you can buy 0 short sleeves and 20 long sleeves
To solve for the x intercept, we set y to 0
[tex]10x + 15 * 0 = 300[/tex]
[tex]10x = 300[/tex]
Divide through by 10
[tex]x = 30[/tex]
This implies that, you can buy 0 long sleeves and 30 short sleeves
How do I get the fractional form for cos 4π/3?
Answer:
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
cos
(
π
+
π
3
)
=
cos
π
⋅
cos
(
π
3
)
−
sin
π
⋅
sin
(
π
3
)
=
(
−
1
)
(
1
2
)
−
(
0
)
(
√
3
2
)
=
−
1
2
18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.
Answer:
He will receive $1, 400 for interest
&
A total amount of $6, 400
Step-by-step explanation:
To find the interest, we must apply the following formula:
I = P × R × T
I represents interest
R represents rate
T represents time
P represents principle
Steps:
1. Change the rate, which is 2%, into a decimal.
2. Multiply the principle, which is 5,000, by the rate, which is 0.02.
3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.
So he will receive $1, 400 interest.
To find the total amount he recieved, we must:
Add the principle, which is 5,000, and the current interest, which is 1, 400.
5,000 + 1,400= 6,400
He will receive a total of $6, 400
I hope this helps! I'm sorry if it's wrong.
A contractor needs to buy nails to build a house. The nails come in small boxes and
large boxes. Each small box has 200 nails and each large box has 400 nails. The
contractor bought twice as many small boxes as large boxes, which altogether had
3200 nails. Graphically solve a system of equations in order to determine the number
of small boxes purchased, x, and the number of large boxes purchased, y.
Here is your system of equations:
200x + 400y = 3200
y = 2x
Now plug into your calculator to see the graph.
Where the lines cross each other is the point that shows the solution.
Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?
Answer:
$104.31
Step-by-step explanation:
First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:
129 * 0.76 = 98.04
The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:
98.04 * 0.064 = 6.27456
The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:
98.04 + 6.27 = 104.31
The total price Zach will pay is $104.31.
Hope this helps :)
A kangaroo can jump at a speed of 40 miles per hour. Which representation shows the distance a kangaroo can jump at this rate?
Answer:
y=40x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.
Answer:
To make 65 chocolate drinks, she needs:
12 g of chocolate powder and 5 marshmallows per drink.
Then she needs:
12g*65 = 780 grams of chocolate powder.
We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99
If she buys 3 jars, she will have: 3*250g = 750g
So she will not have enough, then she needs to buy 4 jars.
Then in chocolate powder, she will pay 4 times £2.99 = £11.96
And for marshmallows, she needs:
65*5 = 325 in total.
Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:
325/120 = 2.7
That should be rounded up (because she can not buy a 0.7 of a bag)
Then she needs 3 bags, and each bag costs £1.45
Then the total cost in marshmallows is 3*£1.45 = £4.35
Select from the drop-down menus to correctly complete the sentence
9514 1404 393
Answer:
factors: (x +5) and (2x -1)
zeros: -5 and 1/2
Step-by-step explanation:
The factorization can be aided by considering the factors of ac=2·(-5) that have a sum of b=9.
-10 = -1×10 = -2×5
The sums of these factors are ...
-1+10 = 9 (the pair we want), and -2+5 = 3
This means we can rewrite the function as ...
g(x) = 2x² +10x -x -5
and factor by grouping.
g(x) = (2x² +10x) -(x +5)
g(x) = 2x(x +5) -1(x +5) = (2x -1)(x +5)
The factors of g(x) are (x +5) and (2x -1).
__
The zeros of the function are the values of x that make these factors be zero.
x+5 = 0 ⇒ x = -5
2x -1 = 0 ⇒ 2x = 1 ⇒ x = 1/2
Solve: h + 12.6 = -12.6 *
Answer:
h = -25.2
Step-by-step explanation:
To solve the equation, you want to isolate the h variable. To do this, move 12.6 to the other side of the equation. Since you were adding on the left side, use the inverse operation, subtracting, on the right. Simplify the result to get the answer.
h + 12.6 = -12.6
h = -12.6 - 12.6
h = -25.2
Which of the following finds T given I, P and R
Answer:
D. T= I/PR
Step-by-step explanation:
PRT are multiplyed so you divide PR to get T by itself.
Solve for x ?
I don’t understand this
Please simplify: 5(2n + 7)
Solve using substitution.
x − 4y = –14
3x + 8y = 18
ordered pair=?help
Answer:
(-2,3) if your doing substitution
(-2,3) for Elimination
Step-by-step explanation:
3x+4y=8 please solve for Y
Answer:
(8-3x)/4
Step-by-step explanation:
3x+4y=8
4y=8-3x
y=(8-3x)/4
So the answer is (8-3x)/4
HELP PLS
What are the domain and range of the exponential decay function?
A) Domain: All real numbers; Range: All real numbers
B) Domain: x< 3; Range: y> 3
C) Domain: All real numbers; Range: y> 3
D) Domain: x > 3; Range: All real numbers
Answer:
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)
Step-by-step explanation:
Domain and Range of Functions
To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.
The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.
Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.
Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)
(-8,1); m=6 equation of line in point slope form
Answer:
Point-slope form
y-3=6(x-8)
Find the value of x that will make A||B.
5x + 9
A
D
B
3x + 11
Answer:
x = 20
Step-by-step explanation:
5x + 9 + 3x + 11 = 180
Combine like terms
8x + 20 = 180
Subtract 20 from both sides
8x = 160
Divide both sides by 8
x = 20
True or false is a relation in which each y value has only 1 x value
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
Alex ran 1600 m at a rate of 6.4 m/s.
For how many seconds did he run?
Answer:
250
Step-by-step explanation:
1600/6.4
please help me thanks
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad
I believe you answer would be $4 + $0.85t =$9.95
Answer:
7
Step-by-step explanation:
c = $0.85t+$4
$9.95 = $0.85t+$4
$9.95-$4 = $0.85t
$5.95 = $0.85t
$5.95/$0.85 = t
7 = t
A bicycle rider rode her bike 8 1/4 miles on Monday. Yesterday, she rode 6 3/8 miles. The difference in length between the two rides is what fraction of the longer ride? Part B. What distance did she ride if she biked 2 2/11 times her distance on Monday? Explain your response.
Answer:
oof good luck tho let me know the answer
Step-by-step explanation:
A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?
PLEASE BE CORRECT
Answer:
$412.50
Step-by-step explanation:
[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]
i need help !!!!!!!!!
Answer:
a. 14
b. 10
c. 11
Step-by-step explanation:
You need to use the distance formula.
[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]
Ex: (1,2) and (1,16)
You will need to lable each
1st Point: 1 will be [tex]x_{1}[/tex] and 2 will be [tex]y_{1}[/tex]
2nd Point: 1 will be [tex]x_{2}[/tex] and 16 will be [tex]y_{2}[/tex]
Then you will need to plug it in
[tex]\sqrt{(1-1)^{2} +(16-2)^{2}}[/tex]
I’ll give brainliest if someone can explain that answer
Answer:
no
Step-by-step explanation:
Answer:
No
Because 5 and 1 have the same output as 1.
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
Answer: Marcus is correct.
i got it right on Edge2020
Step-by-step explanation:
Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.
Marcus's claim is correct.
The triangles are given as: ΔTSR and ΔUSV
By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.
So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.
Hence, Marcus is correct, and Sam is not.
Read more about transformation at:
https://brainly.com/question/4539110
plz help me with this
Answer:
slope:3
y intercept:1
equation:y=3x+1
Step-by-step explanation:
To solve -3 = -19 + , what steps would you use?
_________19
___________ 5
Answer:
16
Step-by-step explanation:
you need to first find out what number goes behind -19 and to do this you have to do -19 plus 16 because this equals -3 now your done
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Convert 150 degrees to radians
Answer:
it would be 5pi/6 radians
Step-by-step explanation:
Answer:
[tex]\frac{5\pi }{6\\}[/tex]
Step-by-step explanation:
to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify
150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]
A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105 total
Step-by-step explanation:
Answer:
$105.66 is your answer.