Answer:
32,470
Step-by-step explanation:
since there is a 7 in the ones place it will chnage the 6 to a 7 to make it 32,470
In order to find the answer to this question you must find the tenth place value and look to the right of the tenth place value and if the value next to the tenths higher then five you round up.
[tex]32,467[/tex]
[tex]Tenths=67[/tex]
[tex]7>5[/tex]
[tex]32470[/tex]
[tex]=32,470[/tex]
Therefore the answer is "32,470."
Hope this helps.
A bag contains 22 1/2 cups .A recipe for pancakes uses 1 1/4 cups of flour .how many batches of pancakes can be made with one bag of flour
Answer:
18 batches of pancakes
Step-by-step explanation:
22.5/1.25=18
Answer:
17 batches
Step-by-step explanation:
Divide (1 1/4 cup per batch) into 22 1/2 cups:
22 1/5 cups
---------------------- = 22.2/1.25 batches = 17.76 batches
1 1/4 cup
--------------
1 batch
One bag of flour will make 17 batches with about 3/4 batch unfinished.
The winner of a weight-lifting competition bench-pressed 400 pounds. All other competitors bench-pressed at least 23 pounds less. Write an inequality that represents the weights x (in pounds) that the other competitors bench-pressed.
Answer:
[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]
Step-by-step explanation:
The winner of a weight-lifting competition bench-pressed weight 400 pounds.
All other competitors bench-pressed at least 23 pounds less. So, the maximum weight that all other competitors bench-pressed is
[tex]400-23=977\ pounds[/tex]
If x pounds is the weight that the other competitors bench-pressed, then
[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]
that sounds as the other competitors bench-pressed at most 377 pounds weight.
What if the teacher divides the the 5 cups of broth among 6 students? Will each student get more than less than 1 cup of broth?
Answer:
Less
Step-by-step explanation:
5 divided by 6 is less than 1.
Answer: 0.83...
Answer:
Each student get less than 1 cup of broth.
Step-by-step explanation:
We have been given that a teacher divides the 5 cups of broth among 6 students. We are asked to determine the amount that each student will get would be more than or less than 1 cup of broth.
Since there are 5 cups of broth, so we can distribute them to 5 students each having one cup of broth.
As the teacher divides the 5 cups of broth among 6 students, therefore each student will get less than one cup that is [tex]\frac{5}{6}[/tex] of cup.
According to the American Association of Retired Persons, AARP, without healthcare
reform, the number of people in the United States without healthcare insurance would
have reached 60 million in 2020. This represents a 18.5% increase from 2010. How many
people were uninsured in 2010? Round to the nearest million.
Answer:
49 million if I'm not mistaken.
Step-by-step explanation:
Solve this problem
C= 4y/m+n for y
Answer:
y = (Cm)/4 + (Cn)/4
Answer:
Step-by-step explanation:
C= 4y/m+n
4y = c(m+n)
y = c(m+n)/4
How much is square root of 5
Answer:
2.2360679775 or simply put 2.2
Step-by-step explanation:
The square root of 5 will not be a perfect square.
The length of a rectangular poster is 10 inches longer than the width. If the perimeter of the poster is 124 inches, what is the width?
Question 2 options:
Final answer:
To find the width of a rectangular poster with a perimeter of 124 inches and a length that is 10 inches longer than the width, set up the perimeter equation, solve for the width, and find that the width is 26 inches.
Explanation:
The student asks to find the width of a rectangular poster where the length is 10 inches longer than the width, and the perimeter is 124 inches.
Firstly, let's denote the width of the poster as w inches. Therefore, the length is w + 10 inches. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
We can set up the equation for the given perimeter:
2(w + 10) + 2w = 124
Simplifying the equation:
2w + 20 + 2w = 124
4w + 20 = 124
4w = 104
w = 26
The width of the poster is 26 inches.
Carlo attends art class every 4 weeks, chess club every 2 weeks, and fencing lessons every 3 weeks. If he attended all three this week, when will he attend all three again?
Carlo will attend art class in 4 weeks,
fencing lessons in 3 weeks,
and chess club in 2 weeks.
4 less than 20 times some number
Answer:
20x - 4
Step-by-step explanation:
4 less than 20 times some number
Let's break it up.
4 less than = -4
20 times some number = 20x (x is representing "some number")
So, let's put that together.
4 less than 20 times some number
20x - 4
select the correct answer What is |-2.24|?
Absolute values are always non-negative, so |-2.24| equals 2.24.
The absolute value of a number is its distance from zero on the number line, ignoring its sign. For -2.24, the distance from zero is 2.24 units.
This concept is useful in various mathematical calculations, such as finding the magnitude of a vector in physics or determining the error in measurements. In practical terms, it allows us to express distances, differences, or deviations without regard to direction. For example, if you are comparing temperatures, the absolute difference between -5°C and 8°C is 13°C, regardless of whether you are measuring an increase or decrease in temperature. This property makes absolute values valuable in many areas of mathematics, science, and everyday life.
Complete question: What is |-2.24|?
what is the value of 4P -2 when P= 8
4p-2
Replace the P with the 8
4(8)-2
4*8=32
32-2=30
your answer would be 30 cause 4 times 8 is 32 then 32 - 2 = 30
What is the value of k in the product of powers below?
10^-3 x 10 x 10^k = 10^-3 = 1/10^3
A. -3
B. -1
C. 0
D. 1
Answer:
B. -1.
Step-by-step explanation:
Note: 10 = 10^1 so:
10^-3 x 10 x 10^k = 10^(-3 + 1 + k) = 10^(k - 2).
So 10^(k - 2) = 10 ^(-3)
and k - 2 = -3
k = 2 - 3 = -1.
Answer: -1
Step-by-step explanation:
Which sequence of transformations performed on triangle J could result in similar triangle J'?
A. Rotate triangle J 180 about the origin, then reflect across y-axis.
B. Translate triangle J to the right and then down.
C. Reflect triangle J across the y-axis, then across the x-axis.
D. Reflect triangle J across the x-axis, then across the y-axis.
(its not A.)
Answer:
C. Reflect triangle J across the y-axis, then across the x-axis.
Answer:
I think the answer is B but i might be wrong
What’s the answer to this problem?
Answer:
[tex]6 = f(4) \\ \\ 0 = f(-2)[/tex]
Step-by-step explanation:
Think of f(x). Those numbers in parentheses next to the f are x-coordinates, all you have to do is look in the chart and see what y-coordinate they gave you with respect to the given x-coordinates.
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the ratio of 6 to 4 is equal to the ratio of 36 to what number
Answer:24
Step-by-step explanation:
The ratio of 6 to 4 is the same as the ratio of 36 to 24. This is found by setting up the ratios as fractions, setting them equal to each other, and then solving for the unknown.
Explanation:The question is asking for an equivalent ratio to that of 6 to 4, using 36 as the first term. To do this, you need to determine what number 36 is in the same ratio. A ratio is a relationship between two numbers indicating how many times the first number contains the second. In our case, 6 is to 4 as 36 is to what?
To find the answer, you can set up the ratios as fractions and solve for the unknown. For example, the ratio of 6 to 4 is expressed as 6/4. Because we want a ratio that's equivalent, we say 6/4 = 36/x, where x is the unknown number, we need to find.
Solving for x involves arranging the equation to isolate x and then performing the algebraic operation that gives the value of x. This would be: 6/4 = 36/x -> 6x = 36×4 -> 6x = 144 -> x = 144/6 -> x = 24.
Therefore, the ratio of 6 to 4 is equal to the ratio of 36 to 24 in math.
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Chris has $400 in his bank account and he deposits
$5 per week thereafter into his
account. His brother Ben has $582 in his account
and withdraws $8 per week from
his account. Assuming this pattern continues, write
and solve an equation to determine how many
weeks it will take for them to have the same
amounts in their bank accounts.
Answer:
400 + 5x = 582 - 8x
14 weeks
Step-by-step explanation:
Set them both up in an equation ---> x = weeks
400 + 5x = 582 - 8x
Solve
13x = 182
x = 14
To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up and solve an equation based on their weekly deposits and withdrawals. After setting their equations equal to each other and solving for 'x', we find that it will take 14 weeks.
Explanation:To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up an equation based on their weekly deposits and withdrawals. Let's represent the number of weeks as 'x'.
Chris's bank account balance can be represented by the equation: 400 + 5x
Ben's bank account balance can be represented by the equation: 582 - 8x
To find the number of weeks it takes for their balances to be equal, we can set their equations equal to each other and solve for 'x':
400 + 5x = 582 - 8x
Combining like terms and isolating 'x', we get:
13x = 182
Dividing both sides by 13, we find that x = 14.
Thus, it will take 14 weeks for Chris and Ben to have the same amount in their bank accounts.
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Solve the rational equation:
3x/x+1 + 2x/x-2 = 4x^-4/x^-x-2
Answer:
no solutionStep-by-step explanation:
[tex]\dfrac{3x}{x+1}+\dfrac{2x}{x-2}=\dfrac{4x^2-4}{x^2-x-2}\\\\Domain:\\\\x+1\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-x-2\neq0\\\\(1)\ x+1\neq0\qquad\text{subtract 1 from both sides}\\x\neq-1\\\\(2)\ x-2\neq0\qquad\text{add 2 to both sides}\\x\neq2\\\\(3)\ x^2-x-2\neq0\\x^2+x-2x-2\neq0\\x(x+1)-2(x+1)\neq0\\(x+1)(x-2)\neq0\to\ x+1\neq0\ \wedge\ x-2\neq0\\\\\bold{DOMAIN:}\ x\in\mathbb{R}-\{-1,\ 2\}[/tex]
[tex]\dfrac{3x}{x+1}+\dfrac{2x}{x-2}=\dfrac{4x^2-4}{x^2-x-2}\\\\\dfrac{(3x)(x-2)}{(x+1)(x-2)}+\dfrac{(2x)(x+1)}{(x+1)(x-2)}=\dfrac{4x^2-4}{(x+1)(x-2)}\\\\\dfrac{(3x)(x-2)+(2x)(x+1)}{(x+1)(x-2)}=\dfrac{4x^2-4}{(x+1)(x-2)}\\\\\text{therefore}\\\\(3x)(x-2)+(2x)(x+1)=4x^2-4\qquad\text{use the distributive property}\\\\(3x)(x)+(3x)(-2)+(2x)(x)+(2x)(1)=4x^2-4\\\\3x^2-6x+2x^2+2x=4x^2-4\qquad\text{combine like terms}\\\\(3x^2+2x^2)+(-6x+2x)=4x^2-4[/tex]
[tex]5x^2-4x=4x^2-4\qquad\text{subtract}\ 4x^2\ \text{from both sides}\\\\x^2-4x=-4\qquad\text{add 4 to both sides}\\\\x^2-4x+4=0\\\\x^2-2x-2x+4=0\\\\x(x-2)-2(x-2)=0\\\\(x-2)(x-2)=0\\\\(x-2)^2=0\iff x-2=0\qquad\text{add 2 to both sides}\\\\x=2\notin\bold{D}[/tex]
Ana found a cookie recipe that requires 1/2 cup of amount of coconut oil to be used instead of butter. The recipe makes a total of 100 cookies. The problem us tha Ana onky wants to make 25 cookies. EXPLAIN to Ana how much coconut oil she will need to use in an adjusted recipe to make 25 cookies instead of 100 cookies.
WORTH 20 POINTS!!
PLEASE SHOW YOUR WORK
Answer:
Ana will have to multiply the amount of each item on the recipe by .25
For the 1/2 cup amount of coconut oil to be used instead of butter will be .125 or 1 and 5/8 amount of coconut oil to be used instead of butter.
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Subtract the following:
–7 – 7=
7 –
7=
-7-(- 7) =
7- (-7)=
Answer:
A. -7 - 7 = -14
B. 7 - 7 = 0
C. -7 - (-7) = 0
D. 7 - (-7) = 14
Answer:
-7 - 7 = -14 ; Two negatives equal a positive
7 - 7 = 0 ;
-7 - (-7) = 0
7 - (-7) = 14 two negatives equal a positive
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(6x^3 - 4) + (-2x^3 + 9)
Answer:
4x^3 + 5
Step-by-step explanation:
(6x^3 - 4) + (-2x^3 + 9)
You can get rid of the parentheses
6x^3 - 4 + -2x^3 + 9
Combine like terms
6x^3 + -2x^3 = 4x^3
-4 + 9 = 5
4x^3 + 5
1. -88 = -3(4m + 5) - (1 - 3m)
Answer:
m=8
Step-by-step explanation:
-88=-3(4m+5)-(1-3m)
-88=-12m-15-(1-3m) <- Distributive Property
-88=-12m-15-1+3m <- Open () if there is a negative negative the symbol equals positive
-88=-9m-16 <- Simplify
0=-9m+72 <- Add 88 to both sides
9m = 72 <- Add 9m to both sides
9m = 72
/9 /9
m=8
The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog.
Part A
Write an equation to represent the proportional relationship between c and h using the information given. c =
Part B Sue spent $660 on 12 hours of obedience training for her dog Muffin. Jon wants to use the same dog trainer for his dog Tex, but he only has $440 to spend. How many hours of training can he get for Tex? Explain your reasoning.
Answer:
Part A) The proportional equation is [tex]c=55h[/tex]
Part B) 8 hours of training
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Let
c -----> the cost to hire a dog
h ----> the amount of time in hours
The linear equation is equal to
[tex]c=kh[/tex]
Sue spent $660 on 12 hours of obedience training for her dog Muffin
Find the value of k (constant of proportionality)
[tex]k=y/x[/tex]
substitute the values
[tex]k=660/12=55[/tex]
therefore
The linear equation is
[tex]c=55h[/tex]
For [tex]c=\$440[/tex]
Find the value of h
substitute in the equation and solve for h
[tex]440=55h[/tex]
[tex]h=440/55=8\ hours[/tex]
5% of Mr. Larios‘s jokes are funny if he makes 16 funny jokes this year how many total jokes does he make
The answer would be "320 jokes."
[tex]\frac{5}{100}[/tex]
[tex]\frac{5}{100} of320[/tex]
[tex]\frac{5}{100} \times320=16[/tex]
[tex]=16[/tex]
Therefore Mr. Larios made 320 jokes this year and only 16 of them were funny.
Hope this helps
Answer:
he makes 320 jokes a year
Step-by-step explanation:
Find the midpoint of the segment with the given endpoints.
(6. - 4) and (4.6)
Answer:
Step-by-step explanation:
Simplify this equation
Answer:
-10 * 3/2= -30/2 = -15 is the solution
Answer:
-15
Step-by-step explanation:
-10/ 2/3
-10/1 / 2/3
-10/1 x 3/2
-30/2
=-15
what is an equation of the line with slope 3 that goes through point (2/3,4)?
A.y=3x+2
B.y=3x+4
C.y=3x+6
D.y=3x-6
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute ( [tex]\frac{2}{3}[/tex], 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = 3x + 2 → A
Answer:
A. y = 3x + 2Step-by-step explanation:
[tex]\left(\dfrac{2}{3};\ 4\right)\to x=\dfrac{2}{3},\ y=4\\\\\text{Put to the each equation:}\\\\A.\ y=3x+2\\\\4=3\left(\dfrac{2}{3}\right)+2\\4=2+2\\4=4\qquad\bold{CORRECT}[/tex]
We do not check other equations because all the lines have the same slope. Therefore, they are parallel lines. If one of the lines passes through a given point, then another cannot pass through that point.
Write an equation in slope intercept form for each line that passes through (-7, -4), perpendicular to y=1/2x +9
Answer:
y = -2x - 18
Step-by-step explanation:
-4 = -2[-7] + b
14
-18 = b
y = -2x - 18
↑
rate of change [slope]
* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:
½ → -2
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Is this equation an identity?
z = -10 − z
Answer:
y
Step-by-step explanation:
Is it proportional and what’s the solution?
Is riding an elevator down 3 floors positive or negative
Answer:
negative
Step-by-step explanation:
that would be a negative corrolation