Answer:
Both the hat and mask cost $1Step-by-step explanation:
Let the cost of each hat is x and each mask is y.
According to the question, set the equations:
10x + 20y = 308x + 10y = 18Double the second equation and subtract the first one:
8x*2 + 10y*2 - 10x - 20y = 18*2 - 3016x - 10x = 36 - 306x = 6x = 1Find the value of y:
10*1 + 20y = 3020y = 30 - 1020y = 20y = 1Equations are
10h+20m=30=>h+2m=3--(1)8h+10y=18=>4h+5m=9--(2)Eq(1)×4
[tex]\\ \tt\hookrightarrow 4h+8m=12\dots(3)[/tex]
Subtract (3) and (2)
[tex]\\ \tt\hookrightarrow 3m=3[/tex]
[tex]\\ \tt\hookrightarrow m=1[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow h+2=3[/tex]
[tex]\\ \tt\hookrightarrow h=1[/tex]
The length of a bedroom in a blueprint is 5in. and the width is 7in. The actual length of the bedroom is 12ft. Identify the actual width of the bedroom in feet.
To solve this problem, we can use cross multiplication:
First, we can to convert inches into feet so...
5 inches = 0.416667 ft
7 inches = 0.583333 ft
(0.416667 ft/ 0.583333 ft) = (12 ft/ x ft)
x = 16.8 ft
So the actual width is 16.8 ft.
Hope this helps!
The bag contains 20 red marbles, 30 white marbles, and 40 blue marbles.
What is the ratio of red to blue marbles?
What is the ratio of white to red marbles?
Answer:
Red : Blue = 20: 40 = 1 : 2
White: Red = 30 : 20 = 3 : 2
Write
11/4 as a mixed number.
Give your answer in its simplest form.
Answer:
2 3/4 (two and three fourths)
Step-by-step explanation:
Solve the following linear equations a) a+7 =15
Answer:
a = 8
Step-by-step explanation:
a + 7 = 15
a + 7 - 7 = 15 - 7 Subtract 7 from both sides.
a = 8
Answer is
A = 8
Because 8 + 7 = 15
The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get 8
Someone please help me asap! I will mark as brainliest, thank you!!
Answer:
Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.
Step-by-step explanation:
Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.
How do I solve this?
Answer:
By using your brain? XD
Here's the answer:
2:5 of 63
2+5=7
2/7 X 63=18
5/7 X 63= 45
Tina recieves 18/63 (2/7)
Please mark as Brainliest
one seventh of what number is five sixths?
Answer:
I think it's 56 is the answer
of 20 chickens, 9 are brown. What fraction is brown? (please show the working)
Answer:
9/20 also 45%
Step-by-step explanation:
well if 20 of them 9 are brown so 9 out of 20 of them are brown/45% of them because out of 20 each thing right or each person is 5%
Answer:
45/100 out of the 20 chickens are brown
Step-by-step explanation:
9/20 = 45/100
9/20 x 5 = 45/100
Pls help with this one
Answer:
1757.5
Step-by-step explanation:
10% of $1,850 is 185
5% of 185 is 92.5
1,850 minus 92.5 = 1757.5
please mark brainliest if this helped!
Answer:
b) $1,757.50
Step-by-step explanation:
15. 1,850 * 5
1,850 * 0.05 = 92.5 (how much was discounted)
1,850 - 92.5 = $1,757.50
Hope this helps!
The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
15.7 square feet
19.6 square feet
42.8 square feet
78.6 square feet
Answer:
(b) 19.6 square feet
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...
A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²
The area of a base circle is about 19.6 square feet.
Answer:
19.6 square feet
Step-by-step explanation:
What are the solutions of 12 - x2 = 0?
O x=2,5 and x = -2/3
O x=373 and x = -312
O x= 4/5 and x = -4/3
* x= 6 and x = -6
[tex]12 - 2x = 0 \\ - 2x = 0 - 12 \\ -2x = - 12 \\ - x = - 12 \div 2 \\ - x = - 6 ( - can \: be \: cancelled \: if \: its \: in \: both \: side)\\ x = 6[/tex]
kindly swipe right to left for full solution.
the solutions for the quadratic equation are 3.46 and -3.46
How to solve the quadratic equation?
Here we have the equation:
12 - x^2 = 0
To solve this, first, we add x^2 on both sides:
12 = x^2
Now we can just apply the square root on both sides, to get:
±√12 = x
±3.46
So the solutions are 3.46 and -3.46
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
what is it supposed to look like
How do find the circumference?
Answer:
24π
Step-by-step explanation:
Circumference of a circle = πd
d = diameter
Step-by-step explanation:
so the formula for circumference is 2 pie r
d= 24
so obviously r=12
2×22/7×12= 75.42 and
ans= 24pie
Geometric mean between 9 and 25
Answer:
the answer is 15
The geometric mean of 25 and 9 is 15 . Example 2: ... So, the geometric mean of the three numbers is the cube root of their product.
Answer:
15
Step-by-step explanation:
the geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
geometric mean of 9 and 25 is
[tex]\sqrt{9(25)}[/tex] = [tex]\sqrt{225}[/tex] = 15
PLS HELP OF AREA ON TRIANGLE!!!
Answer:
Area for Triangle is: 1/2bh or bh/2
Area for Trapezoid (As shown in picture):
1/2h(b1+b2)
You’d have to do 1/2 x 18(15+37) for the quesyion in the picture
Hope this helped!
Answer:
[tex] area = (\frac{1}{2} (a + b) \times h) \\ \frac{1}{2} \times (15 + 37) \times 18ft \\ \frac{1}{2} \times 52ft \times 18ft \\ divide \: 52 \: by \: 2 \\ 26ft \times 18ft = 468 {ft}^{2} \\ answer = 468 {ft}^{2}[/tex]
Which expression is not equivalent
to 4k + 12?
A. 3k + 4 + k + 8
B. 30k + 3) + 3
C. 40k + 3)
D. 2(2k + 5) + 2
Answer:
A , D
Step-by-step explanation:
A. = 4k+12
B. =30k+6
C. =40k+3
D. =4k+10+2= 4k+12
What is the measure of ∠A ?
Solve for x.
4 + 3x = 16
To solve this equation we must isolate the variable.
3x = [?]
First subtract 4 from both sides of the equation.
Calculate the new value of the right side of the equation.
Step-by-step explanation:
4 + 3x =16
subtracting 4 on both sides
4-4 + 3x =16-4
0+ 3x = 12
3x = 12
x = 12/3
x= 4
Jenny wants to buy a new dress for her for school dance she borrows $25.63 from her sister to help pay for the dress then Jenny earns $16.33 helping her dad organized his home office if she gives all the earnings to her sister Jenny will still owe her sister $
Answer:
= $25.63 - $16.43
=$9.2
Jenny will still owe her sister $9.2
Answer:
Jenny owe her sister 9.3 dollars
Step-by-step explanation:
25.63 - 16.33
= 9.3
Included in the definition of an elliptic curve is a single element denoted O and called the point at infinity or the ____ .
Answer:
Zero Point
Step-by-step explanation:
8. The sum of two numbers is 15. Twice one number equals 3 times the
other. Find the numbers.
If CS = 4 and AD = 10, what is the measure of CD? Round to the nearest hundredth. Show all your work.
The measure of the length of line segment CD is; 12.8
Pythagoras theoremPythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.
From the task content, the center of the circle is at point S and since CS = 4;
It follows that CA = 4× 2 = 8.Hence, it follows from Pythagoras theorem that;
CD = √(8² + 10²)CD = √64+100CD = √164.CD = 12.8Read more on Pythagoras theorem;
https://brainly.com/question/343682
Please Help me solve this problem
Help asap.
Find an equation for g(x) in terms of the function f(x). For example, g(x)=10 f(9x+8)+7.
g(x)=
Answer:
g(x) = 3f(-x/2)
Step-by-step explanation:
g(x) is 3 times the height of f(x), and 2 times its width. It is also reflected over the y-axis.
The relevant transformations are ...
g(x) = k·f(x) . . . . scales f(x) vertically by a factor of k
g(x) = f(-x) . . . . . reflects f(x) over the y-axis
g(x) = f(x/k) . . . . scales f(x) horizontally by a factor of k
__
The three transformations we described at the beginning mean that g(x) is ...
g(x) = 3f(-x/2)
how to solve for x in this picture
Answer:
1
Step-by-step explanation:
Ratio between ABC and ADE
BC/DE = AB/AE
1/9 = x/9
x=1
$13.12 for 9 bottles of soda. What is the unit price? Round to the nearest cent (hundredths place).
P.S. this is due today
Answer:
$1.45 is the unit price
Step-by-step explanation:
$13.12 total / 9 bottles = $1.45 per bottle
I'm struggling with this question on quadratic equations and would like somebody to explain it to me. Thank you!
Hello, sorry for taking half an hour to respond.
a) If x represents the number of students in her class, we have :
The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)
b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4
We have :
a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0
=> 2a = 3d + 12
So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.
And ad x the amount of students = 480
So, we can conclude that the amount of students is a factor of 80
Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.
If there was 20 students :
The price of each calculator would be : 480 : 20 = 24
If it's 6 cheaper, it would be 24-6 = 18
And she would've gotten 480 : 18 (not divisible)
If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.
12 and 300 as decimal
Answer:
12/300 as a decimal is 0.04.
help ill mark brainliest
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=[tex]2+\frac{5}{6} -5\frac{1}{3}[/tex]
Solving the whole number parts
[tex]2-5=-3[/tex]
Solving the fraction parts
[tex]\frac{5}{6} -\frac{1}{3}[/tex]
Find the LCD of 5/6 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 6
[tex]\frac{5}{6} -\frac{2}{6} =\frac{3}{6}[/tex]
Reducing the fraction part, 3/6,
[tex]\frac{3}{6} =\frac{1}{2}[/tex]
Combining the whole and fraction parts
[tex]-3+\frac{1}{2} =-2\frac{1}{2}[/tex]
Hence, the correct answer is -2 1/2
[RevyBreeze]
Your most trustful answer
Which of the following graphs shows the solution set for the inequality below? |2x + 2| > 4
Answer:
Attached is what the graph should look like.
Step-by-step explanation:
|2x + 2| > 4
Separate the equations into two different ones:
2x + 2 > 4 2x + 2 < - 4
- 2 - 2 - 2 - 2
2x > 2 2x < -6
/2 /2 /2 /2
x > 1 x < -3
Hope this helps!