Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05
y=x
2
+3x+2 & y=4x+4
Answer:
Step-by-step explanation:pho;np9yil.gboil k,
Find the circumference of the circle to the nearest hundredth
11cm
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
What is the probability of spinning an even number?
Answer:
3/5
Step-by-step explanation:
there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg
HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
In bottle 1/4 of chlorine solution is left in bottle.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.
And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.
Now,
Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8
= 5 / 2 × 1/4 - 3/8
= 5 / 8 - 2 / 8
= 1 / 4
Thus, In bottle 1/4 of chlorine solution is left in bottle.
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The complete question is this;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx
bit.[tex]^{}[/tex]
Find the area of the given regular polygon
Round your answer to the nearest tenth, if necessary.
A. 221.7
B. 665.1
C. 280.6
D. 2660.4
Answer:
A.221.7Step-by-step explanation:
god bless
[tex]a[/tex]
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
Answer:
Take the square root of each side of the equation to set up the solution for
x
(
3
x
−
5
)
2
⋅
1
2
=
±
√
19
Remove the perfect root factor
3
x
−
5
under the radical to solve for
x
.
3
x
−
5
=
±
√
19
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
The result can be shown in multiple forms.
Exact Form:
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
Decimal Form:
x
=
3.11963298
…
,
0.21370035
…
The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (3x - 5)² = 19
Now,
We can simplify the expression for the solutions as;
⇒ (3x - 5)² = 19
Take square root both side,
⇒ √(3x - 5)² = √19
⇒ (3x - 5) = √19
Add 5 both side,
⇒ 3x - 5 + 5 = √19 + 5
⇒ 3x = √19 + 5
⇒ 3x = ± 4.36 + 5
⇒ 3x = 4.56 + 5
⇒ 3x = 9.36
Divide by 3;
⇒ x = 9.36 / 3
⇒ x = 3.12
And, 3x = - 4.56 + 5
3x = 0.64
x = 0.64/3
x = 0.21
Thus, The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
Learn more about the mathematical expression visit:
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find the volume of the irregular figure
Answer:
V = 672cm^3
Step-by-step explanation:
V of irregular figure = lwh + lwh
V = 7(3)(2) + 10(7)(9)
V = 42 + 630
V = 672cm^3
Asif and Ben share $2100 in the ratio Asif: Ben = 3:7.
Work out how much Asif receives.
$2100
Answer:
$630 for Asif
Step-by-step explanation:
Asif gets 3/10ths
So
2100 x 3/10 = $630 for Asif
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.
Answer: 12 for the main square
Step-by-step explanation:
take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.
Can someone plz help me plz I beg u plz
Answer:
A.... X=3
Step-by-step explanation:
Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined
Answer:
Its A
Step-by-step explanation:
Because if you add 3+5 that is 8 so 8/8
simplify 3+4(y-7)+5y
Answer:
9y-25
Step-by-step explanation:
Answer:
9y-25
Step-by-step explanation:
Math
The net of a solid figure is shown below:
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure?
A) 3 x 6 x 6 square inches
B) 6 x 3 x 3 x 3 square inches
C) 3 x 6 x 6 x 6 square inches
D) 6 x 3 x 3 square inches
Answer:
D, 6 x 3 x 3
Step-by-step explanation:
One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.
Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
4
Step-by-step explanation:
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
Help with this please!!
Answer:
the first answer
Step-by-step explanation:
well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT
All dimensions of a cylinder are multiplied by 1.5. Which statement is true?
A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.
B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.
C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.
D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.
Answer:
The true statement is;
B. The total surface area is multiplied by 2.25
The volume is multiplied by 3.375
Step-by-step explanation:
By scale drawing proportionality, we have;
The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5
∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5
By rule, we have;
The area factor of the surface area = S.F.² = 1.5² = 2.25
Therefore;
The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder
By rule, we have;
The volume factor = S.F.³ = 1.5³ = 3.375
Therefore;
The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.
Answer:
B
Step-by-step explanation:
Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?
Answer:
12 bounce
Step-by-step explanation:
Let :
Number of Menard's bounce = x
Ben's bounce = x + 8
Diego's bounce = 2x
If Diego's bounce = 8
Then ;
2x = 8
x = 8/2
x = 4
Ben's bounce = x + 8
Ben's bounce = 4 + 8 = 12
Tomorrow the last day of school how ya feel?
-franz:)
Answer:
Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.
Step-by-step explanation:
The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help
Step-by-step explanation:
let's make T= the number if trees...
If we're placing one tree every 12 feet for two miles, then:
T×(space between trees) = (number of miles)×(1mi.)
T×12ft. = 2×1mi. = 2×5280ft.
Dividing by 12ft. to isolate T gives us:
T=(2×5280)/12 = 880
So that'll be 880 trees for 2 miles of street.
The number of trees that they plant on 2 miles of streets will be 880 trees.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 12 feet apart.
Then the number of trees that they plant on 2 miles of streets will be
We know the conversion of miles into feet.
1 mile = 5280 feet
2 miles = 10560 feet
Then the number of trees will be
Number of trees = 10560 / 12
Number of trees = 880
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PLSSSSS HELPPPPP REWARD BRAINLEISTTT
ANSWER:
number 1 is D, it moves to the right 4 times
number 2 is B, its a vertical stretch of 2
HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST
What is the distance between points (8,3) and (3, 1) on the coordinate plane?
OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units
Answer:
√29
Step-by-step explanation:
You would use the distance formula in this case to solve the problem:
(8-3)^2+(1-3)^2=29
Now square root 29, leaving you with √29.
Answer:
5.39
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(3 - 8)² + (1 - 3)²
√(-5)² + (-2)²
√25 + 4
√29
= 5.39
Use elimination/linear combination to solve the following.
please help
Answer:
Step-by-step explanation:
3x + 4y = 17
5x - 4y = 7
you can thus cancel out 4y
Hence
8x = 24
Hence x = 3
Substituting’
3(3) + 4y = 17
9 + 4y = 17
Hence 17 - 9/4
= y = 2
Hope this helps
which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)
Answer:
C
Step-by-step explanation:
the answer is c because there is more then one y value for 5
Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?
Answer:
The final answer is 0
Step-by-step explanation:
1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!