Answer:
1 3/4 - a<3/4
proof:
1 3/4 -a<3/4
=>1 3/4 - 1 3/4 -a<3/4- 1 3/4
=>-a<-1
=>a>1
What is the solution?
-6x - 1 =23
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what
Bradley got, what is Zevel's score?
Answer:
22
Step-by-step explanation:
66 ÷3=22
3= one third
Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!
The given dimensions of the base of the box are 2 x 3 units.
Let h be the height of the box.
So, the volume of the box = 2 x 3 x h ...(i)
The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.
Assuming the diameter of the baseball is d units.
So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.
[tex]=d^3[/tex] cubic units
So, the volume required to pack 48 baseballs
[tex]= 48 d^3 \cdots(ii)[/tex]
Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.
So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e
The length, [tex]3 = ad\cdots(iii)[/tex]
The width, [tex]2=bd\cdots(iv)[/tex]
The height, [tex]h=cd\cdots(iv)[/tex]
where [tex]a,b[/tex] and [tex]c[/tex] belong to the natural number.
This required volume must be equals to the volume of the box.
From equations (i) and (ii),
[tex]2\times 3\times h=48d^3[/tex]
[from (iii) and (iv)]
[tex]\Rightarrow abhd^2=48d^3[/tex]
[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]
[tex]\Rightarrow h=\frac{48}{ab}d[/tex]
On comparing with the equation (iv)
[tex]c=\frac{48}{ab}\cdots(v)[/tex]
Now, if the diameter of the baseball is unity,i.e, d=1 unit
( integer) and (integer) [from (iii) and (iv)]
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=8 \times 1= 8[/tex] unit.
Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.
Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.
For example, the value of height for d=1 unit has been shown.
and another example may be if units, then (integer) and (integer)
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]
Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.
The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.
You are making some chili and need some onions and peppers. One pound of onions costs $0.97 and one pound of peppers cost $1.30. What is the total cost of 0.76 pounds of onions and 1.5 pounds of peppers? The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is $
Answer:
The cost of 0.76 pounds of onion is [tex]x = \$ 0.988 [/tex]
The cost of 1.5 pounds of peppers is [tex] y = \$ 1.455[/tex]
The total cost is [tex]z = \$ 2.443 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of one pound of pepper is C = $0.97
The cost of one pound of onion is [tex]C_o = \$ 1.30[/tex]
Generally the cost of 0.76 pound of onion is mathematically represented as
[tex]x = \frac{0.76 * 1.30}{1}[/tex]
=> [tex]x = \$ 0.988 [/tex]
Generally the cost of 1.5pound of peppers is mathematically represented as
[tex] y = \frac{1.5 * 0.97}{1}[/tex]
=> [tex] y = \$ 1.455[/tex]
The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is
[tex]z = x+ y[/tex]
=> [tex]z = 0.988 + 1.455 [/tex]
=> [tex]z = \$ 2.443 [/tex]
Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times
Answer: a distribution with a known shape and other properties.
Step-by-step explanation: 10 dice rolled 1000 times
Answer:is below
Step-by-step explanation:
10 dice rolled 100 times
what type of triangle is ️abc as defined by its sides and angles
a. acute scalene
b. obtuse isosceles
c. right scalene
d. acute isosceles
Answer: d) acute isoceles
Step-by-step explanation:
it has 2 acute angles and it's isoceles because it has 2 sides of equal length
Answer:
d. acute isosceles
Step-by-step explanation:
ABC had two sides that are equal so it is an isosceles triangle
<B = 90-44 = 46
A and C must be equal
A + B + C = 180
A + 46 + B = 180
2A = 180- 46
2A = 134
A = 67 so C = 67
All angles are acute
When doing a throw in how many of your feet should be touching the ground.
how to change the fractions into equivalent fractions having the LCD 3/4
- Find the sum of (2+4i) and (3-6i)
(2+4i )+(3-6i)
= 2 + 4i+3 -6i
= 5 - 2iAnswer:
5-2i
Step-by-step explanation:
(2+4i)+(3-6i)
2+4i+3-6i
5-2i
Please correct me if I am wrong
Complete the missing terms in the sequence
6, 3, 0,
,
Answer:
-3
Step-by-step explanation:
subtract 3
Is y=1/4x a function
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of water needed to fill an above-ground swimming pool
The amount of medicine that would fill half a teaspoon
The amount of water that would fill a large cooking pot
Answer:
first one: liters seconds one: milliliters third one: liters
Liters
Milliliters
Liters
Liters are larger are milliliters
What is the value of g?
25(g−7)=3
Answer: G=7.12
Step-by-step explanation: 25g-175=3 add 175 to both side which makes the equation 25g=178 and divide 178 by 25 which gives you 7.12
Answer:
g=178/25
Step-by-step explanation:
Step 1: 25(g-7)/25=3/25
Step2: g-7=3/25
Step 3: g-7+7=3/25 + 7
Answer: g=178/25
Decimal form would be g=7.12
Multiplying 2×1 3/7 is equal to how much
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.
A. Corresponding angles
B.Same side interior angles
C. Alternate exterior angles
D. alternate interior angles
Answer:
Alternate exterior angles
ILL MARK BRAINLIEST
15. EYE COLOR If −2 of the girls in class have brown eyes and −1 of the girls 34
have blue eyes, what fraction of the girls in class have neither blue or brown eyes?
16. PIE Ubi made a banana cream pie. His brother ate −1 of the pie and his 23
sister ate −5 of the pie. How much less did his brother eat than his sister?
Answer:
for 31/34 is the answer for eye color
Step-by-step explanation:
2 + 1 =3
34-3=31
31 out of the 34 students have neither blue or brown eyes.
31/34
Please send an answer quick I really need it the picture is above.
Answer:
-132
Step-by-step explanation:
When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.
Simplify this equation (3√2)²
Answer:
18
Step-by-step explanation:
is this a function? x
the correct answer for this question is 2.the reason why it is 2 is because your adding 2 to each one.
To encourage recycling many states require a $.70 deposit or drink containers the total deposit di you pay depends on the number of containers N You by the function D =0.07N could be used to describe the situation if you deposit $1.40 how many containers do you buy?
Answer:
20 containers
Step-by-step explanation:
Given:
D = 0.07N
Where,
D = Amount of deposits
N = Number of containers
If D = $1.40 find N
D = 0.07N
1.40 = 0.07N
Divide both sides by 0.07
N = 1.40 / 0.07
= 20
N = 20 containers
if you deposit $1.40, you will buy a total of 20 containers.
What is the solution of 34x+2x=44
Answer:
x=11/9 hope this helped <3
Step-by-step explanation:
Let's solve your equation step-by-step.
34x+2x=44
Step 1: Simplify both sides of the equation.
34x+2x=44
(34x+2x)=44(Combine Like Terms)
36x=44
36x=44
Step 2: Divide both sides by 36.
50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds
Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
How to solve rolled dice problems?From the given ,question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
The game rules are;
Same number on both dice = +3
Different numbers, with an even sum = +1
An odd sum = -2
After five rounds, score of Chloe = +1
1 = 3 + 1 + (-2) + (-2) + 1
⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.
Complete question is;
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
Read more about Dice rolls at; https://brainly.com/question/2140973
#SPJ1
Answer:
-2
-2
-2
-2
-2
The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).
Step-by-step explanation:
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
PLZ HELP, BEST ANSWER GETS BRAINLLEST!
Determine the two closest integers for each irrational number.
the square root of 19
the square root of 50
the square root of 117
Answers:
a) 4 and 5b) 7 and 8c) 10 and 11=====================================================
Work Shown:
List out the perfect squares
{1,4,9,16,25,36,49,64,81,100,121}
We stop once we reach 117 or just a bit higher.
---------------------------
Then notice that
[tex]16 < 19 < 25 \ ... \ \text{19 between the squares 16 and 25}\\\\\sqrt{16} < \sqrt{19} < \sqrt{25} \ ... \ \text{ apply square root to all sides}\\\\4 < \sqrt{19} < 5[/tex]
Which shows [tex]\sqrt{19}[/tex] is between 4 and 5. Therefore, the two closest integers to [tex]\sqrt{19}[/tex] are 4 and 5.
---------------------------
We follow the same steps for [tex]\sqrt{50}[/tex]
So,
[tex]49 < 50 < 64\\\\\sqrt{49} < \sqrt{50} < \sqrt{64}\\\\7 < \sqrt{50} < 8[/tex]
So the square root of 50 is between 7 and 8.
---------------------------
And finally,
[tex]100 < 117 < 121\\\\\sqrt{100} < \sqrt{117} < \sqrt{121}\\\\10 < \sqrt{117} < 11[/tex]
---------------------------
Using a calculator, we find that
[tex]\sqrt{19} \approx 4.36[/tex]
[tex]\sqrt{50} \approx 7.07[/tex]
[tex]\sqrt{117} \approx 10.82[/tex]
which helps confirm our answers.
8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?
Answer:
12cups=96oz.
Step-by-step explanation:
multiply the volume value by 8
12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.
Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)
Answer:
y = 1/-2x + 0 or y = 1/-2x
Step-by-step explanation:
The measure of an angle is 108°. What is the measure of a supplementary angle?
Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
(-45) + (+3) =
A -42
B -40
C 40
Answer:
Step-by-step explanation:
-42
3/4 + 1/6z = 35/4 solve
Answer:
z = 48
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]
Multiply through by 12 ( the LCM of 4 and 6 )
9 + 2z = 105 ( subtract 9 from both sides )
2z = 96 ( divide both sides by 2 )
z = 48
Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.
Answer:
Step-by-step explanation:
From the figure attached,
Point X is the midpoint of line AC.
Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Therefore, coordinates of the point X will be,
= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]
= (a, a)
From triangle AXB,
Length of AB = 2a
Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]
= [tex]a\sqrt{2}[/tex]
Length of AX = BX = [tex]a\sqrt{2}[/tex]
Therefore, triangle AXB is an isosceles triangle.