Answer:
2, - 3, 18
Step-by-step explanation:
1). [tex]\sqrt[3]{1-x}[/tex] = - 1
( [tex]\sqrt[3]{1-x}[/tex] )³ = ( - 1)³
1 - x = - 1 ⇒ x = 2
2). [tex]\sqrt{x^2 +7}[/tex] = 4
( [tex]\sqrt{x^2 +7}[/tex] )² = 4²
x² + 7 = 16 ⇒ x = ± 3 ; x = - 3
3). [tex](x-2)^{\frac{1}{4} }[/tex] = 2
[tex][(x-2)^{\frac{1}{4} }] ^{4}[/tex] = [tex]2^{4}[/tex]
x - 2 = 16
x = 18
Megan bought 2 1/4 pounds of bananas for $0.80 per pound and 1 1/2 pounds of strawberries for $1.10 per pound. How much more did Megan spend on bananas than on strawberries?
Answer:
$0.15
Step-by-step explanation:
Cost of each pounds of banana = $0.80
Number of pounds of banana = 2 1/4 pounds
Total cost of banana = $0.80 × 2 1/4 pounds
= 0.80 × 9/4
= 0.80 × 2.25
= 1.8
Total cost of banana = $1.8
Cost of each pounds of strawberry = $1.10
Number of pounds of strawberry = 1 1/2 pounds
Total cost of strawberry = $1.10 × 1 1/2 pounds
= 1.10 × 3/2
= 1.10 × 1.5
= 1.65
Total cost of strawberry = $1.65
How much more did Megan spend on bananas than on strawberries?
Total cost of banana - Total cost of strawberry
= $1.8 - $1.65
= $0.15
Answer:
$0.15
Step-by-step explanation:
Cost of each pounds of banana = $0.80
Number of pounds of banana = 2 1/4 pounds
Total cost of banana = $0.80 × 2 1/4 pounds
= 0.80 × 9/4
= 0.80 × 2.25
= 1.8
Total cost of banana = $1.8
Cost of each pounds of strawberry = $1.10
Number of pounds of strawberry = 1 1/2 pounds
Total cost of strawberry = $1.10 × 1 1/2 pounds
= 1.10 × 3/2
= 1.10 × 1.5
= 1.65
Total cost of strawberry = $1.65
How much more did Megan spend on bananas than on strawberries?
Total cost of banana - Total cost of strawberry
= $1.8 - $1.65
= $0.15
5200 at 4% for 3 years ??
The drawing of the building, shown below, has a scale of 1 inch to 30 feet. What is the actual height, in feet, of the building?
Answer:
Actual height of the building is 37.5 feet
Step-by-step explanation:
Formula to be used to get the actual length of the building,
Scale used = [tex]\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}[/tex] = [tex]\frac{1}{30}[/tex]
By this formula,
[tex]\frac{1.25}{\text{Actual height}}=\frac{1}{30}[/tex]
Actual height of the building = 1.25 × 30
= 37.5 feet
Therefore, actual height of the building will be 37.5 feet.
An electrician charges $45 per hour plus a fixed charge of $30. Which of these equations could be used to determine C , the cost an electrician charges for h hours worked?
PLEASE HELP ME!!!! its due today
Twelve and three tenths more than five and thirteen thousandths of a number d is equal to fifteen and three hundred two thousandths. What is the value of d?
Answer:
d=5
Step-by-step explanation:
5y + 10x = 0
y = - 3x
Plz help me the photo is the directions for the problem
What are the solutions to the equation w/2w-3= 4/w
Answer:
w=2 , w=6 are the zeroes of the expression
Explanation:
We have been given the expression
after cross multiplication of the given expression so as to simplify it we will get
Solution to the given equation is w=2,w=6
Therefore these are the solutions of the given expression.
Which of the following inequalities is equivalent
to -31 + 12s <3s + 15 ?
Answer:
-31+12s
Step-by-step explanation:
The required inequality that is equivalent to -31 + 12s < 3s + 15 is 9s < 46.
Given that,
To determine the inequalities is equivalent to -31 + 12s <3s + 15.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
-31 + 12s < 3s + 15
12s - 3s < 15 + 31
9s < 46
Thus, the required inequality that is equivalent to -31 + 12s < 3s + 15 is 9s < 46.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ6
3. A clown sells large balloon animals for $25 each. Small balloon animals sell for $10 each. Jordan is buying 2 large balloon animals and x small balloon animals. Let y represent the total cost Jordan must pay in dollars.
Write an equation in slope-intercept form to model this description.
Answer:
Step-by-step explanation:
y= 2x + 50
plz help
What is the intersection of a plane and a solid figure called?
three-dimensional figure
cross section
two-dimensional figure
base
Answer:
B
Step-by-step explanation:
The intersection of both a solid figure and a plane is called a cross section
Answer:
cross section
Step-by-step explanation:
i had this same question on ossadayware
Which ordered pair is a solution of the equation -4x + 7 = 2y - 3
Answer:
(0,5) (1,3) (2,1)
Step-by-step explanation:
Question
_______ is a solution to the equation 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7.
A.- x = 20
B.- x = 10
C.- x = 80
Answer:
C
Step-by-step explanation:
Answer:
C.- x = 80
Step-by-step explanation:
A retail outlet's sales for January were $45,000. In February, these sales decreased 10%; but from February to March, sales increased 10%.
What were the outlet's sales for the month of March?
a.$45,000
b.$40,500
c.$44,550
d.$49,500
Answer:
$44550 is your answer
Step-by-step explanation:
.
answered Which of the following values are solutions to the inequality -9>-4+5x
Answer:
-1>x
Step-by-step explanation:
What is the value of (3/4)3?
Answer:
2.25
Step-by-step explanation:
(3/4)3 = 3/4 × 3 = 2.25I hope this helps!
Which of the following would be the best strategy?
Answer:
I think the answer is D
Step-by-step explanation:
I hope it was correct...
The length of a rectangle is equal to triple the width. what is its width and length if its perimeter is 88 centimeters.
Answer:
56fifjjfiggitrireieisixii3eiirr
Answer:
Length = 33 cm
width = 11 cm
Step-by-step explanation:
a = 3w ⇒ eq. 1
88 = 2(a+w) ⇒ eq. 2
a = length
w = width
then:
replacing the value of the eq. 1 on the eq. 2
88 = 2(3w + w)
88/2 = 4w
44 = 4w
w = 44/4
w = 11 cm
from the eq. 1
a = 3w
a = 3*11
a = 33cm
Check:
perimeter = 88 = 2(a+w)
88 = 2(33+11)
88 = 2*44
ASAP PLS HELP ILL GIVE BRAINLIEST
Answer:
y + 4x + 2
Step-by-step explanation:
What is the distance between points P (-3,5) and S (6,9)?
Answer:
Given are two points say A(-3,9) and B (6,-5)
We are asked to find the distance between these two points
i.e. we have to measure the length of line segment AB.
Distance between two points =
Round off to nearest tenth to get
distance =16.6
Step-by-step explanation:
Answer:
You are correct; it is √97
Step-by-step explanation:
Please help.
Math - geometric
Answer:
FIRST option
Step-by-step explanation:
mark me brainlist btw help my sum plsss
A and b are similar shapes the area of shap a is 200cm
find all the zeros of the quadratic function
[tex]y = x^{2} - x - 20[/tex]
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[tex]y = {x}^{2} - x - 20[/tex]
[tex]y = (x - 5)(x + 4)[/tex]
To find the zeroes , Just need to put 0 instead of y .
[tex]0 = (x - 5)(x + 4)[/tex]
[tex](x - 5)(x + 4) = 0[/tex]
_________________________________
Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]
_________________________________
[tex]x - 5 = 0[/tex]
Add sides 5
[tex]x - 5 + 5 = 0 + 5[/tex]
[tex]x = 5[/tex]
Or
[tex]x + 4 = 0[/tex]
Subtract sides 4
[tex]x + 4 - 4 = 0 - 4[/tex]
[tex]x = - 4[/tex]
Thus the zeroes are :
( - 4 , 0 ) and ( 5 , 0 ) .
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i dont understand how to do absolute values someone please help, and fast
A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X
and find the area of the square.
Answer:
greatest value of X = 12
Area of square = 144 cm²
Step-by-step explanation:
The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The highest common factor between both factors of 48 and 60 is 12.
Thus,
greatest value of X = 12
Area of square = 12 × 12
Area of square = 144 cm²
How do you factor f(x) = x^3 – 3x^2 – 10x + 24 ?
Answer:
f(x) = x³ – 3x² – 10x + 24 = (x + 3)(x – 2)(x – 4)Step-by-step explanation:
I would use the Horner method.
f(x) = x³ – 3x² – 10x + 24
f(2) = 2³ - 3·2² - 10·2 +24 = 0 ⇒ x=2 is the root of function
So:
| 1 | -3 | -10 | 24 |
2 | 1 | -1 | -12 | 0 |
therefore:
f(x) = x³ – 3x² – 10x + 24 = (x – 2)(x² – x – 12)
For x² – x – 12:
[tex]x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3[/tex]
It means:
f(x) = x³ – 3x² – 10x + 24 = (x – 2)(x – 4)(x + 3)
Jack bought 500 shares in Glastonbury Goods at $17.85 per share on January 18, 2015. On January 25, 2017, he sold 300 shares after its price had dropped to $15.25 per share. He bought 250 more shares on January 31, 2017 when the price had fallen to $11.90 a share. He sold all of his stock at $18.00 per share on February 5, 2017. How much of a profit/loss did Jack make over the course of his investment? ____________________ profit or loss
Answer:
$775 profit
Step-by-step explanation:
Here, we want to know how much profit or loss Jack made;
he sold 300 shares at $15.25
Amount lost on this will be;
(17.85-15.25) * 300 = -$780
The number of shares he sold at $18 will be the 250 he bought now, and the 200 left unsold before
So profit now will be;
200(18-17.85) + 250(18-11.9)
= $30 + $1525 = $1555
So he made $1555 and lost $780
The amount of profit made is $1555-$780 = $775
The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.
10:5
5:2
2:5
Answer:
2:5
Step-by-step explanation:fraction sighn is equivilent to ratio sighn.
lines A and B are parallel what is the measurement of angle b?
Answer:
79
Step-by-step explanation:
Since the two lines are parralel, then the angles should be the same.
Answer:
79 degrees for sure
Step-by-step explanation:
this is because im pretty sure its right.
both angles look same to me trust me
pls mark braineslt if im right
Simplify (6g4h5)2
What is the answer
Answer:
12g8h10
Multiply each variable quantity by 2 and combine.
Find the length of AD
Answer:
AD = 6
Step-by-step explanation:
5+x-----12
5------10
50+10x = 60
10x = 60-50
10x = 10
x = 1
AD = 5+1
AD = 6