Answer: Shirts are $9 each and hats are $8 each
Step-by-step explanation:
Let S be the price of a Shirt, and H the price of a Hat.
First Week: 4S + 9H = $108
Today: 17S + 21H = $321
We have 2 equations and 2 unknowns (S and H). Rearrange one of the equations to isolate one of the unknowns. I'll rearrange the first for S:
4S + 9H = $108
4S = $108 - 9H
S = ($108 - 9H)/4
S = 27 - 2.25H
Now use this value of S in the second equation:
17S + 21H = $321
17(($27 - 2.25H) + 21H = $321
Solve for H:
459 -38.25H + 21H = $321
-17.25H = - 138
H = $8
Each hat was $8.
Use this value in the first equation to find S:
4S + 9H = $108
4S + 9*($8) = $108
4S + $72 = $108
S = $9
Each shirt was $9.
==
Check to see if the numbers give the correct results:
4*($9) + 9*($8) = $108
17*($9) + 21*($8) = $321
Both yield the correct amounts. Shirts are $9 each and hats are $8 each.
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
x^2-2x+3k=0 find k with D>0
sorry for the bad example.
Step-by-step explanation:
b²-4ac>0
(-2)²-4(1×3k)>0
4-12k>0
-12k>-4
k<⅓
Answer:
Step-by-step explanation:
b²-4ac>0
(-2)²-4(1×3k)>0
4-12k>0
-12k>-4
k<⅓
A construction team is going to Guatemala to help a missionary build a church building. The construction team will be there for 24 days, which is 50% more days than they need to complete construction. How many days will they need to complete the church building
Answer:
72
Step-by-step explanation:
50% means ½ of the usual days,
if 50% = 24 days
then the usual day is 48 days
so, 48+24= 72
The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?
Step-by-step explanation:
a ticket for 3 days cost = 35968
cost of 1 ticket = 35967÷3= 11989.33
therefore, 500 tickets cost= 500 x 11989.33
= 5994666.666, approximately 5994667
Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should Donald dark 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets?
Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.
This question is solved by proportions, using a rule of three.4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?The rule of three is:
1 tablet - x grams
4 tablets - 0.2 grams
Applying cross multiplication:
[tex]4x = 0.2[/tex]
[tex]x = \frac{0.2}{4}[/tex]
[tex]x = 0.05[/tex]
Donald should order 4 of the 0.05 gram tablets.
For more on proportions, you can check https://brainly.com/question/24372153
Y= 3x — 5 what is the slope and y-intercept
Which of the following is a triangle circumscribed by a circle?
Answer:
Hi again
Its your 3rd option
Step-by-step explanation:
Answer:
Step-by-step explanation:
Option 3 is correct just got the test!
Pls help me sue tmr pls pls pals question 6
Answer:
Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%
135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%
so Ankita is 90% of the height of Nita
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!
Answer:
Subtraction property is the answer
Step-by-step explanation:
Mark brainliest please!
Use the figure to find the measure of
Answer:
m∠URV = 124°
Step-by-step explanation:
hope this helps
Answer:
what is the work to figure out the anwser?
Step-by-step explanation:
Please help me on this math problem
what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate
Answer:
1.05660377358 or 1.06 rounded
Step-by-step explanation:
If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.
Answer:
1.056603774
Step-by-step explanation:
First question: 3(x + 2)
If answered correctly- Brainliest
Second question:
Answer:
8 gumballs 3 jaw breakers or the required inequality expression is
0.50g + 0.30j ≤ 3
Step-by-step explanation:
welcome...
6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?
A. 6:4
B. 6:10
C. 6:16
D. 4:10
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
6:16
Step-by-step explanation:
plz mark as brain lst and like
A group of friends wants to go to the amusement park. They have no more than $50 to spend on parking and admission. Parking is &11 and tickets cost $13 per person plus tax. How many people can go to the amusement park?
Answer:
3 people
Step-by-step explanation:
$11 for parking leaving $39 after paying for parking
39÷13=3
smiplify 3^2 x 3^4 x 3^6
PLEASE ANSWER QUICKLY
[tex] {3}^{2} \times {3}^{4} \times {3}^{6} [/tex]
[tex] = {3}^{2 + 4 + 6} [/tex]
[tex] = {3}^{2 + 10} [/tex]
[tex] = {3}^{12} [/tex]
..................................
Answer: 35 dots
Step-by-step explanation:
Algebra 2 How many Real solutions does the equation have? X-1 squared = x-4
The solutions are where the lines cross each other.
The lines only cross each other once so there is 1 real solution.
Answer: 1
This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer
The length of the sides of the square labelled x is b. 6.0 m.
Recall:
The formula for the area of a square with equal side, s, is given as s².Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.
Area = Total area of the garden - 64 sq. m
Area = (10 × 10) - 64
Area = 36 sq. m.
Area of square = s²
Lex x = s
Therefore:x² = 36
Take the square root of both sidesx = 6 m
Therefore, the length of the sides of the square labelled x is b. 6.0 m.
Learn more about area of a square on:
https://brainly.com/question/16758129
Ten movie tickets cost $80. How much does a single movie ticket cost?
Answer:
$10
Step-by-step explanation:
Find the value of x?
Answer:
x = 40
Step-by-step explanation:
measure of the angles = 1/2( outside arc - inside arc)
x/2 = 1/2[x + 70 - (x + 30)]
x/2 = 1/2 ( x + 70 - x - 30)
x/2 = 1/2 (40)
2(x/2) = 2(1/2)(40)
x = 40
(-9)+5-6+9-(-9)+99-2+50
Test the following point in the inequality
-2x – 3y < 15 Test ( 6 , -10 ) Please help with this
if z=3+i/3-i find the value of 1/z and z+1/z
HELP ME GUYS THANK YOU! :)
Step-by-step explanation:
y=5(-1)+3
y=-5+3
y=—2
y=5(0)+3
y=3
y=5(1)+3
y=5+3
y=8
y=5(2)+3
y=10+3
y=13
Bambino's Pizza is offering $56 per shift and $20.50 in commission for each pizza delivery write a linear equation with a greater Y- intercept and slope in Bambino's Pizza
Answer:
Y = 56X + 20.50
Step-by-step explanation:
y=mx+c
Assuming that the y intercept is an additional numeral constantly given in a linear function. and the slope represented by the main wage of the job while concluding that it's the slope since it implies rate of change.
hope it's correct
PLEASE HELP WILL MARK BRAINEST!!!
they biked 220 kil
that is the answer
please help! the ppl who are good atttt mathhh please!
Answer:
10) SAS
12) SAS
13) SSS
11) ASA
14) ASA
Answer:
10. none
11. AAS
12. SAS
13. SSS
14. SAS
15. ASA
Step-by-step explanation:
I'm not going into detail of each question... I have a 101 in geometry right now though and I've already done triangles, so just trust me on this one.
A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?
Answer:
Reducing the angle to where the force is more in line with the direction of motion.
Step-by-step explanation:
Work is commonly defined as force * distance. Since the 75N force is not acting directly in line with the direction of motion (15 degrees offset), we are not utilizing the full 75 N in moving the object. By reducing the angle of offset, we allow more of the force to be used in moving the object and therefore increase the amount of work being done.
Answer:
Decreasing the angle to 10
Step-by-step explanation:
A man borrowed Rs.8000 for one year at the rate of 15% per annum. Find
the interest
Answer:
I = 8000×1×15
--------------
100
I = 120000
----------
100
I = Rs 1200