Answer:
1 time = 2/3 cups
3 1/2 times = 2/3 × 3 1/2
= 7/3 cups of milk
Answer:
2 1/3 cups
Step-by-step explanation:
2/3 x 3.5 = 2.33333
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.
Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.
Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:
RectangleSquarerhombusA line of symmetry is a line that divides a shape such that they become mirror images of each other.
Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).
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Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying 5% tax, does Kayla have enough money to purchase the three shirts
Answer: No, as the total cost of the 3 shirts w/ sales tax is $45.36 and she only has $45.
Step-by-step explanation:
Start by finding the price of one shirt on sale.
[tex]18*0.2[/tex]
This equals 3.6 which is how much will be deducted from the original price.
One shirt costs [tex]18-3.6\\[/tex] when its 20% off.
This is equal to $14.40.
Since she wants to buy 3 of them we just multiply the $14.40 by 3.
[tex]14.4*3=\\[/tex]
This equals $43.2 but this is without a 5% sales tax which is normally added to the total end price.
To add a sales tax you take the sales tax percent plus 1 and multiply it to the $43.2.
[tex]43.2*1.05=\\[/tex]
This means the total price of Kayla's purchase will be $45.36.
This is over her $45 she has so she can not buy it.
Answer: she does not and is over $45.36 (.36) cents over
Step-by-step explanation:
Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol negative 0.2709 EndLongDivisionSymbol minus 258 = 129. 129 minus 129 = a remainder of 0 and quotient of negative 63. The answer should be Negative 6.3. Sam should have moved the decimal point 3 places to the right in both the divisor and the dividend. The answer should be Negative 630. Sam should have moved the decimal point 5 places to the right in both the divisor and the dividend. The answer should be Negative 65. Sam made an error subtracting 258 from 270. The answer should be Negative 61. Sam made an error when multiplying 6 times the divisor.
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is the constant in 15-8y
A 15
B 8
C-8
D -15
Factor::
x^2+8x-20
thank youuu
Answer:
[tex](x+10)(x-2)[/tex]
Step-by-step explanation:
[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]
You can confirm this by working backwards, expanding:
[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]
Hope this helps!
Simplify the expression
(C^4/3 x b^1/2)^-3
Answer:
3 b 11 6
Step-by-step explanation:
3 b 1 2 ⋅ b 4 3
Move
b 4 3 . 3 ( b 4 3 b 1 2 )
Use the power rule
a m a n = a m + n
to combine exponents.
3 b 4 3 + 1 2
To write
4 3
as a fraction with a common denominator, multiply by
2 2 . 3 b 4 3 ⋅ 2 2 + 12
To write 1 2
as a fraction with a common denominator, multiply by
3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1 .
Tap for more steps...
3 b 4 ⋅ 2 6 +3 6
Combine the numerators over the common denominator.
3 b 4 ⋅ 2 + 3 6
Simplify the numerator.
PLEASE HELP ME! I BEG YOU! ILL EVEN GIVE BRAINLIEST!! HELP ASAP!!!
pls help i give brainliest and 5 stars
Answer:
r = 9 m
Step-by-step explanation:
The volume of a sphere is defined as:
[tex]V = \frac43 \pi r^3\\[/tex]
if this is equal to 972π, then r³ = 972 * 3/4
so r = ∛729 = 9
Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?
Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.
Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?
I need this to be explained
A premier credit card has an initiation fee that provides you with the privilege to use it and a monthly fee after the first two months. The initiation fee is $62 and the monthly fee is $30 per month after the first two months. If C represents the cost and g represents the total number of months, which equation could represent this plan when you have this card for more than two months?
A. C = 30 + 62(g-2)
B. C = 30 + 62(2-g)
C. C = 62 + 30(g-2)
D. C = 62 + 30(2-g)
Answer:
The correct option is C.
Step-by-step explanation:
To have this credit card there is two fees, one that is fixed payed upfront and other that is payed after the second month. The fixed fee costs $62, and doesn't escalate with time, while the other one is $30 and starts to be charged after the second month. Therefore, the total cost of the card is the fixed fee plus the monthly fee multiplied by the number of months the user had the card subtracted by two, or as shown below:
[tex]C(g) = 62 + 30*(g-2)[/tex]
The correct option is C.
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?
Answer:
x=5
Step-by-step explanation:
5+2=7
5+8=13
13*7=91
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x [tex]\neq \\[/tex] -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.
Answer:
C
Step-by-step explanation:
I think
What is the absolute value of -12 – 5?
Answer:
17
-12 - -5 = -17
-17 is 17 numbers away from 0 so 17 is the answer
Hope this helps
Step-by-step explanation:
please help! will give brainliest answer!
find x.
a. 2√3
b. 4√3
c. 8√3
d. 8
Answer:
d. 8
Step-by-step explanation:
sin(α) = opposite/hypotenuse
sin(30°) = 4/x
x = 4/sin(30°) = 4/(1/2) = 8
Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?
Answer:
( 3x − 1) ( 5x^2 + 2 )
Step-by-step explanation:
15x^3 − 5x^2 + 6x − 2
= ( 3x − 1) ( 5x^2 + 2 )
Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].
What is factorization by grouping?Factorization by grouping means that we need to group the terms with common factors before factoring.
[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]
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Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
Answer: 12.25 and 20.25
Step-by-step explanation:
20.25 - 12.25 = 8
Square root of 20.25 is 4.5
Square root of 12.25 is 3.5
4.5 - 3.5 = 1
Hope this helped
Which statement describes whether a right triangle can be formed using one side length from each of these squares?
Area = 64 in
Area = 225 in
Area = 289 in
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of
the largest square
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the
largest square
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area
of the largest square.
Save and Exit
Set
Answer:
Step-by-step explanation:
The area of the given squares are
Area = 64 in
Area = 225 in
Area = 289 in
The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.
For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,
8² + 15² = 17²
289 = 289
Therefore, the correct statement is
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square
Answer:
B
Step-by-step explanation:
I got this right in edge 2020. Hope this helped! ;)
30 POINTS!!!!!The difference between negative five times a number and three is no less than seven.
Boundary point:
Answer:
15+[tex]15x+7[/tex]
Step-by-step explanation:
Answer:
The answer would be x=8/5 or 1 3/5
reduce to simplest form -1/3-(-3/5)
Answer:
4/15
Step-by-step explanation:
-1/3-(-3/5)
Subtracting a negative is like adding
-1/3 + 3/5
We need to get a common denominator of 15
-1/3 *5/5 + 3/5 *3/3
-5/15 + 9/15
4/15
Answer:
4/15
Step-by-step explanation:
-1/3 + 3/5 (2 negatives make a positive)
Taking the lowest common multiple, we get:
= (- 5 + 9)/15
= 4/15
Hope this helps!
25 POINTS!!!!Which of the following statements are true? Select all that apply.
The product of B and D is negative.
The quotient of A and C is positive.
= A ∙
The quotient of 0 and F is undefined.
A ∙ D = -E ∙ D
Answer:
then 0 and f have to be positive.
Step-by-step explanation:
Mark me brainlest.
Answer:
Its A and C and F
Step-by-step explanation:
9x - 3y = -42 and -9x + 8y =22
Answer:
(-5 1/9, -4)
Step-by-step explanation:
Add the equations
5y=-20
y=-4
-9x+8(-4)=22
-9x-32=22
-9x=46
x= - 5 1/9
f(x)=5x−3
f(5) = ???
Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution? A.–5 B.–2 C.StartFraction negative 16 Over 3 EndFraction D.StartFraction negative 16 Over 7 EndFraction
Answer:
-16/3 = x
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Distribute
3x -6 +4x = 10x+10
Combine like terms
7x-6 = 10x+10
Subtract 7x from each side
-6 = 3x+10
Subtract 10 from each side
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 = x
Answer:
x = -16/3
Step-by-step explanation:
All work is in the image below!
The range of which function includes -4?
y= Vx-5
Y=Vx+5
Y= NX + 5
Y= NX+5
[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The range of function y=√x+5 is -4.
What is Domain and Range?A function's range refers to all of the potential values for y.
The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.
As, we know that the Domain is the input values and Range is the output values.
Now, we have range is -4.
First, -4 = √x - 5
-4 + 5 = √x
√x = 1
x = ±1
Second, -4 = √x+ 5
-4 -5 = √x
√x = -9
x = 81
Third, -4 = √(x + 5)
16 = x+ 5
x = 11
Fourth, -4 = √(x -5)
16 = x - 5
x = 21
So, the range of function y=√x+5 is -4.
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Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°
Answer:
x = 75
Step-by-step explanation:
X and 105 are supplementary angles so they add to 180
x+105 = 180
Subtract 105 from each side
x = 180-105
x= 75
9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)
Answer:
B. (2,5)
Step-by-step explanation:
Given
Points: (6,3), (-2,7)
Required
Midpoint
Midpoint is calculated as follows:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex](x_1,y_1) = (6,3)[/tex]
[tex](x_2,y_2) = (-2,7)[/tex]
So,
[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]
By substituting these values in the given formula
[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]
[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]
[tex](x,y) = (2,5)[/tex]
Hence, the midpoint of the line segment is (2,5)
30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)
Which statement about the temperatures in Tucson must be true?
About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.
Answer:
About half of the days in December has average tempetare between 52 and 60 degrees
(SEE THE ATTACHMENT)
Step-by-step explanation:
See the box-and-whisker plot.
Median = 58
1st quartile (which is the median of all value below 58) = 52
2nd quartile (which is the median of all value above 58) = 60
From 1st quartile to median = Almost quarter of the values
From median to 2nd quartile = Almost quarter of the values
From 1st quatile to 2nd quartile = Almost half of the values
So
1st statement is wrong
2nd statement is correct
3rd statement is wrong (Coldest day was 49 degrees)
4rth statement is wrong (Hottest day was 68 degrees)
1. Stephen works for an environmental protection agency
responsible for toxic waste cleanup. Stephen has to
remove the top 24" of contaminated soil in order to make
sure the soil is not a health hazard. The soil covers a
1200' x 1500'lot. How much soil must be removed?
Answer:
Area to be removed = 3600000 feet³
Step-by-step explanation:
We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.
Total Area of soil = 1200' x 1500'
Where soil to be removed is given in inches, convert it into feet
Soil to be removed = 24''=2'
Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard
Area to be removed = 1200' x 1500' x 2'
Area to be removed = 3600000 feet³
