Pie charts are used to show the relationship between data in a circle. The total expenses of the Estrada family last month are: $2287.5
Given that:
[tex]Clothing = \$366[/tex]
From the Pie chart, 13% of the total expenses were spent on clothing.
This means that
[tex]13\% \times Total = Clothing[/tex]
So, we have:
[tex]13\% \times Total = \$366[/tex]
Divide both sides by 13%
[tex]Total = \$366 \div 16\%[/tex]
[tex]Total = \$2287.5[/tex]
Hence, the total expenses are: $2287.5
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Change each base 10 number to a binary by the division method
5
Answer:
Step-by-step exA wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ftplanation:
15-(4m - 5) = 32 please help me
Answer:
m = -3
Step-by-step explanation:
15 - (4m - 5) = 32 (Given)
15 - 4m + 5 = 32 (Distributed)
20 - 4m = 32 (Added like terms)
20 - 4m - 20 = 32 - 20 (Subtract 20 on both sides)
-4m = 12 (Simplify)
-4m/-4 = 12/-4 (Divide -4 on both sides)
m = -3 (Simplify)
Your Gps shows that your friends house is 10.0 km away, as shown in the image below. but there is a big hill between your house and you dont want to bike the directly. You know your friends street is 6.0km north of your street. How far do you have to ride before turning north to get to your friends house?
Answer:
2.0km
Step-by-step explanation:
What is the difference between opposites and integer
Answer:
An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa
Step-by-step explanation:
-5 and 5 are an example.
if the sum of three consecutive integer is 75 ..then what is the greatest possible value of smallest one
Answer:
If sum were 75 the integers would be 24, 25 and 26, so the next lowest/smallest sum would be 23 + 24 + 25 is 72. The answer is 23.
Answer:
smallest value=24
Step-by-step explanation:
steps are in picture.
Note:If you have any confusion you can ask me.
Find the distance between the points (5, 3) a
and (5, -6).
Answer:
Answer is 9.
Step-by-step explanation:
a (5, 3), b (5, -6)
[tex]\sqrt(x^2 - x^1) ^2+(y^2- y^1)^2\\\sqrt(5 - 5)^2 +(-6- 3)^2\\\\\sqrt(0)^2 +(-9)^2\\\\\sqrt(81)\\\\9[/tex]
Answer: 9
Step-by-step explanation:
Sqrt (5-5)^2+(-6-3)^2 =
Sqrt (0)+(-9)^2
Sqrt 81 = 9
I need some help with this. how many beats per minute?
The bottom row x axis) is seconds and goes to 6 seconds
Each peak is a heartbeat, there are 9 in the 6 seconds.
A minute is 60 seconds.
60 seconds / 6 seconds = 10
9 beats every 6 seconds x 10 = 90 beats per minute.
The heart rate is 90 beats per minute
Find the length of AB
Answer:
52
Step-by-step explanation:
AB is the hypotenuse of the right triangle
sin34 = opp/hyp = 29/hyp
hyp = 29/sin34 = 51.860457849...
Answer:
[tex]let \: |ab| \: be \: x \\ \\ \frac{ \sin(90) }{x} = \frac{ \sin(34) }{29} \\ x \sin(34) = 29 \sin(90) \\ x = \frac{29 \sin(90) }{ \sin(34) } \\ x = 51.86(2.d.p) \\ |ab| = 51.86[/tex]
solve the equation -7 x = -28
-7 x = -28
Divide both sides by -7.
x = 4
Which equation is represented by the graph?
Answer:
y = -|x + 1| - 4
Step-by-step explanation:
Sarah is going to pay for an item using gift cards. The clerk tells her tht she will need 2 gift cards and as additional $3 to pay for the item.
Write an algebraic equation to find the cost for any amount of gift cards
Answer:
Step-by-step explanation:
t=2g+3.
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
Solve using substitution.
6x + y = 7
8x + 9y = 17
(_,_)
Please help me I really need it
The solution to an inequality is represented by the number line
IF
(3x + y = 10
\x-4y=-1
then
n y =
Answer:
n | 0 | 0 1
| y 2 | 2 y 3 | 3 años
Step-by-step explanation:
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
Answer:
$1080
Step-by-step explanation:
s=30w+750
s=30(11)+750
s=330+750
s=1080
What is the perimeter (in feet and inches) of a rectangle that has a length of 12'7" and a height of 11'3"?
Answer:
p=2l+2w
=2*12'7"+2*11'3"
Which number is the largest?
Answer:
54.895
Step-by-step explanation:
hopes it's help you
56-x=728+2x what's the answer?
Answer:
56-x=728+2x
1.) rearrange
[tex]56x = 728 + 2x \\ \ - x + 56 = 728 + 2x[/tex]
[tex] - x + 56 = 728 + 2 x \\ \\ - x + 56 = 2x + 728[/tex]
2.)subtract 56 on both side
[tex] - x + 56 = 2x + 728 \\ \ - x + 56 - 56 = 2x + 728 - 56[/tex]
3.) simplify
[tex] - x = 2x + 672[/tex]
4.)Subtract 2 on both sides
[tex] - x = 2x + 672 \\ \\ - x - 2x = 2x + 672 - 2x[/tex]
5.) simplify
[tex] - x - 2x = 2x + 672 - 2x \\ \\ - 3x = 2x + 672 - 2x \\ \\ - 3x = 672[/tex]
6.)divide both sides on the same equation
[tex] - 3x = 672 \\ \\ \frac{ - 3x}{ - 3} = \frac{672}{ - 3} [/tex]
7.) simplify
[tex]x = - 224[/tex]
8.) answer
[tex]x = - 224[/tex]
if u need any help, just let me know
Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.
Answer:
C
E
Step-by-step explanation:
Do the following graphs represent a mathematical function? If not, explain why.
Answer:
1 = YES
2 = NO
Given the piecewise function shown below, select all of the statements that are true.
Answer:
f(2)=4
Step-by-step explanation:
[tex]\\ \rm\longmapsto f(x)=x^2,x>1[/tex]
2>1[tex]\\ \rm\longmapsto f(2)=2^2[/tex]
[tex]\\ \rm\longmapsto f(2)=4[/tex]
if radius of circle is decreased by 50% its area is reduced by
Answer:
0.25 or 25%
Step-by-step explanation:
because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%
What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?
Step-by-step explanation:
Given line y=1/3x-4
slope of given line m=1/3
Slope of required line :
m=1/3
As lines are parallel then slope of lines are equal.
Using point slope form:
y-y1=m(x-x1)
p(x1,y1)=(9,8)
y-8=1/3(x-9)
3y-24=x-9
x-3y-9+24=0
x-3y+15=0
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How would I graph this?
The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
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(7 - 1) to the 2 power plus 2 and to the 4 power - 8
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to total cakes?
Answer:
1/2
Explanation:
22 ÷ 11 = 2
Exactly half of the cakes were made in the morning
Answer:
11:22
Simplified=
1:2
HELP PLEASE DUE TOMORROW
Answer:
Step-by-step explanation:
first one: 1/4
second one: 1/4
last one: 1/4
8 divided by 2=4 and 4 becmes the denominator
the answer is basicallly 1/4
What grade is this btw
If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder
Answer:
radius is 7 cm
Step-by-step explanation:
formular for volume:
[tex]V = \pi {r}^{2} h [/tex]
r is radius
h is height
[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]