Answer:
8052600
Step-by-step explanation:
According to the Order of Operations, in this case, you deal with all multiplication before adding everything up.
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the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.
To express the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form, we can simplify the multiplication and then sum up the products.
8 x 1,000,000 = 8,000,000
5 x 10,000 = 50,000
2 x 1,000 = 2,000
6 x 100 = 600
Adding these values together:
8,000,000 + 50,000 + 2,000 + 600 = 8,052,600
Therefore, the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.
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Which of the following would be the most logical first step to solving this
quadratic equation?
x2 -5x + 6 = 0
Answer:
Step-by-step explanation:
There are many ways to solve this:
- factorising
- formula
- perfect squaring
FACTORISING:
The first step would be to multiple the coefficient of x^2 and 6.
Then find which of the factors of 6 sum up to 5. (In this case it is 2 and 3.)
So you would rewrite the equation like this:
x2 -3x -2x + 6 = 0
Then factorise
x(x-3) - 2(x-3) = 0
Then factorise again
(x-2)(x-3) = 0
So if we were to divide each side by (x-2)
(x-3) =0
so x = 3
OR
if we were to divide each side by (x-3)
(x-2) = 0
x = 2
FORMULA:
The formula is
-b±[tex]{\sqrt{b^2 -4ac}[/tex] / 2a
where
ax^2 + bx + c = 0
The first step would be to substitute.
PERFECT SQUARING:
The first step would be to half the second term.
[tex](x - \frac{5}{2})^{2} - \frac{25}{4} - 6 = 0[/tex]
Then solve for x.
Please answer this correctly
88
Step-by-step explanation:
Answer:
Step-by-step explanation:
12: 88
If DM=25 what is the value of r?
Answer:
r=12.5 units
Step-by-step explanation:
Well assuming that DM means diameter of a circle, then r should be the radius of the circle.
Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.
Given diameter =25
Radius will be= 25/2 = 12.5 units
The value of r is 12.
This is because the line segment DM is made up of two segments, DG and GM.
We are given that the length of DM is 25, and the lengths of DG and GM are r+2 and 2r-13, respectively.
Therefore, we can set up the following equation:
r+2 + 2r-13 = 25
Combining like terms, we get:
3r - 11 = 25
Adding 11 to both sides, we get:
3r = 36
Dividing both sides by 3, we get:
r = 12
Therefore, the value of r is 12.
Question
a vendor sold 228 sodas & hotdogs. the number of sodas sold was 3 times the number of hot dogs sold. Find the number of sodas and hotdogs sold
Final answer:
To solve the system of equations, we determined the number of hotdogs sold as 'h' and found out that the vendor sold 57 hotdogs and 171 sodas.
Explanation:
The problem given is a system of equations question where we need to find the number of sodas and hotdogs sold by a vendor when given the total sales and the ratio of sodas to hotdogs. To solve this, we'll denote the number of hot dogs sold as 'h' and the number of sodas sold as 's'. According to the problem, the total number of items sold is 228, which gives us the equation:
s + h = 228.
It's also given that the number of sodas sold is three times the number of hot dogs sold. This is our second equation:
s = 3h.
Now we can substitute the second equation into the first, yielding:
3h + h = 228,
which simplifies to:
4h = 228.
Dividing both sides by 4 gives:
h = 57.
With the knowledge that h = 57, we use s = 3h to find that:
s = 3 × 57,
s = 171.
Therefore, the vendor sold 57 hotdogs and 171 sodas.
Find the two square roots of 4
Whenever you take the square root of a number you get a negative and a positive result: √ 4 = ± 2 or { − 2 , 2 } − 2 ⋅ − 2 = 4 and 2 × 2 = 4
The two square roots of 4 are 2 and -2.
What is square root?The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3 × 3.
Given:
The number is 4,
Factorize the number as shown below,
4 = 2 × 2
Calculate the value of the square root of 4 as shown below,
√4 = √(2 × 2)
√4 = ±2
√4 = 2 or -2
Check as:
-2 × -2 = 4
2 × 2 = 4
Thus, the square root of 4 is 2 and -2.
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M angle 1 equals 4x + 15 + m angle 2 equals 2x + 16 what is angle 3 and what is X
Are you talking about the angles in a triangle? Your question is not clear. I'll assume you are talking about a triangle.
Angle 1 + Angle 2 + Angle 3 = 180°
4x + 15 + 2x + 16 + x = 180°
Solve for x to find Angle 3, which in this case is the value of x.
gcf of 14, 49, and 7 pls help
Answer:
GCF(14, 49, 7) = 7Step-by-step explanation:
14 = (2)(7)
49 = (7)(7)
7 = (7)(1)
GCF(14, 49, 7) = 7
Which expression is equivalent to 216x27?
Answer:
In multiplication, 216x27 is the same as 27x216
It is also the same expression as 6x^9
Answer:5832
Step-by-step explanation:
5% of Mr. Louise jokes I funny if he makes 16 funny jokes this year how many total joke does he make
Answer:
well 5% of 16 is 0.8 soo...?
Step-by-step explanation:
Answer:
he makes 0.8 jokes a year
Which expression is equivalent to 2^5
A 4 x 2^3
B 25
C 4^3
D 2^2+ 2^3
Answer:
Step-by-step explanation:
2^5 = 32 answer A
The graph represents one side of the roof of a building.
The slope of the line is
Answer:
The slope of the line is 7/2.
Step-by-step explanation:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the given figure it is clear that the line passes though two points (0,0) and (4,14).
Using the above formula, the slope of the line is
[tex]m=\frac{14-0}{4-0}[/tex]
[tex]m=\frac{14}{4}[/tex]
[tex]m=\frac{7}{2}[/tex]
Therefore the slope of the line is 7/2.
Answer:
the answer is 7/2
Step-by-step explanation:
solve -5 ( 1-4a) > -5
Answer:
A=0
Step-by-step explanation:
i think this is right if not im so sorry
What is the value of the expression shown when n=6
Answer:
42/n-8 which equals -1. (The 3rd answer)
Step-by-step explanation:
8 less means + (-8) and the quotient of 42 and a number means 42/n. Therefore the expression can be derived as (-8)+42/n which can be rewritten as (using the commutative property) 42/n+(-8) or 42/n-8, and to solve substitute n as 6 to find:
42/6-8=7-8=-1
Answer:3rd answer choice
Step-by-step explanation:3rd answer choice
A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll, how much did the doll cost?
Answer:
The cost of the doll is $11.75
Step-by-step explanation:
Let
x ----> the cost of the doll
y ----> the cost of the toy t-rex
we know that
[tex]x+y=33[/tex] -----> equation A
[tex]y=x+9.50[/tex] ----> equation B
substitute equation B in equation A and solve for x
[tex]x+(x+9.50)=33\\2x+9.50=33\\2x=33-9.50\\2x=23.50\\x=\$11.75[/tex]
therefore
The cost of the doll is $11.75
Answer:
Doll cost = $11.75.
Step-by-step explanation:
Given :A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll.
To find : how much did the doll cost.
Solution : We have given
A doll and a toy t-rex cost $33 together.
Let the Doll cost = x .
According to question .
t-rex toy costs $9.50 more than the doll.
T-rex cost = $9.50+ x .
Then, A doll and a toy t-rex cost $33 together.
Doll cost + T oy t-rex cost = $33
Plugging the values
x + $9.50+ x =$33 .
2x + $9.50 =$33 .
On subtracting both sides by $9.50
2x =33 - 9.50
2x = 23.5.
On dividing both sides b y 2
x = $11.75
Doll cost =$11.75
Toy Cost = 9.50 +11.75.
Toy Cost = $21.25
Therefore, Doll cost = $11.75.
The formula for volume of a rectangular prism is V= l, w, h,. Study the figure shown here. How many cubic units is it?
Answer:
12 cubic units
Step-by-step explanation:
Each square has a length of 1 unit (2units/2 squares = 1unit), therefore since the height of the prism is made up of 3 squares, its length is 3 units.
Using the equation
V = l x w x h
V = 2 x 2 x 3
V = 12 cubic units
NEED ASAP!!
Sixteen of the 24 schools in Ryan’s county are public schools. Ryan used this spinner to predict the probability that the winner of the county spelling bee in each of the next four years will attend a private school. Which set of outcomes from Ryan’s simulation implies that the winner will attend a private school at least three times in that span? Select two options.
A-A-A-A
B-B-A-B
A-B-A-B
A-B-B-B
B-A-B-A
Hey!
------------------------------------------------
Answers:
B-B-A-B
A-B-B-B
------------------------------------------------
Explanation:
We assume that the winner is from a private school (B). As we look at the options we can see that there are two options that show B at least 3 times in the span.
------------------------------------------------
Hope This Helped! Good Luck!
b and dAnswer:
Step-by-step explanation:
help me pls. I need help with the question
Answer:
$173.90
Step-by-step explanation:
The most obvious way to answer this question is to multiply $9.40 by 18.5
This would result in 173.90.
But I realize nobody like to deal with decimals in a multiplication problem, so here's the way I would do it (especially if you don't have a calculator!)
The strategy is to break it down!
Multiply $9.40 x 18 hours to start, since this is easier.
[tex]9.4 x 18 = 169.2[/tex]
So, that's $169.20 for 18 hours of work.
We aren't finished, because Abdel worked for 18.5 hours.
So, what half of $9.40?
[tex]9.4 / 2[/tex]
= 4.7
-or-
$4.70
So, knowing that Abdel makes $4.70 in half an hour, lets just add that onto the $169.20 we got earlier.
169.2 + 4.7 = 173.9
-or-
$173.90 for 18.5 hours of work!
Answer question 1 and 2 below and show your work.
Suzie and Devon had breakfast at a cafe. Muffins cost $4 on each, and fruit cups cost $7 each. Suzie had 2 muffins and 2 fruit cups. Devon had 3 muffins and 1 fruit cup. How much did their breakfast cost? Show work.
Tyler wants to ride the bumper cars 4 times and Ferris wheel 8 times. It costs 6 tickets to ride the bumper cars and 3 tickets to ride the Ferris wheel. How many tickets does tyler need? Show work.
Answer:
1st Part- $41 2nd Part- 48 Tickets
Step-by-step explanation:
1st Part)
Suzie- 2($4) + 2($7)= $22
Devon- 3($4)+ 1($7)= $19
Total=$41
-------------------------------------------------
2nd Part)
4(6) + 8(3) = 48 Tickets
Figure abcd is a kite. Find the value of x.
Answer:
x = 30
Step-by-step explanation:
(x+20) + (x+10) +90 = 180
(2x+30) + 90 = 180
2x+120 = 180
2x = 60
x = 30
The value of x will be 30.
What is a rhombus?Rhombus is a parallelogram whose all sides are of equal lengths.
Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
Its vertex angles are bisected by its diagonals.
The triangles on either side of the diagonals are isosceles and congruent.
Form the Figure abcd is a kite. we need to Find the value of x.
Therefore,
The sum of angle property;
(x+20) + (x+10) +90 = 180
(2x+30) + 90 = 180
2x+120 = 180
2x = 60
x = 30
Hence, the value of x will be 30.
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What is the mistake?
3a+4b=7ab
Answer:
You cannot add like terms like that.
Step-by-step explanation:
The terms are supposed to be added together, by combining them like that you are multiplying them together.
What Is simplified form of 2+3 (5-2) to the power of 2
In order to find the answer you will have to use PEMDAS and simplify making sure not to solve the equation fully.
[tex]2+3(5-2)^2[/tex]
Using PEMDAS:
[tex]2\times2=4[/tex]
[tex]2+3\times(5-4)[/tex]
[tex]5-4=1[/tex]
[tex]2+3\times4[/tex]
[tex]3\times4=12[/tex]
[tex]2+12[/tex]
Therefore your answer is "2+12."
Hope this helps.
A carpenter is building a ramp, as shown in the diagram.
What is mt?
A. 28º
B. 62º
C. 90º
D. 152º
Answer:
B. 62°
Step-by-step explanation:
According to the Supplementary Angles Theorem, in this case, ∠s and 152° form a straight angle, so you use the Supplementary Angles Theorem:
-152° + 180 = 28°; 28° = m∠s
Then, use the Triangular Interior Angles Theorem to find the m∠t:
28° + 90° = 118°
↑
∠s
-118° + 180° = 62°; 62° = m∠t
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Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
Measure of exterior angle = 152°
and measure of one opposite interior angle = 90°
Measure of another opposite interior angle be 't'.
As we know that
Sum of interior angle is equal to exterior angle.
[tex]90^\circ+t=152^\circ\\\\t=152^\circ-90^\circ\\\\t=62^\circ[/tex]
Hence, the measure of t is 62°.
Therefore, Option 'b' is correct.
90 POINTS - Algebra Is this relationship proportional?
Answer:
-2 -27 the answer is -24
1 and 12 4
4 and 57 the answer is 53
10 and 147 the answer is 157
Answer:
No
Step-by-step explanation:
Proportional relationships are defined as two quantities that directly relate to one another.
-2/-27= 0.07
10/147= 0.06
These values are different meaning that the relationship is not proportional! You can also write the values as a fraction to see if they relate.
Help!! Me with my aleks!
Answer:
9x + 36 = 10
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] x + 3 = [tex]\frac{5}{6}[/tex]
Multiply by the lowest common multiple of 4 and 6, that is 12
12 × [tex]\frac{3}{4}[/tex] x + 12 × 3 = 12 × [tex]\frac{5}{6}[/tex], that is
9x + 36 = 10 ← equation without fractions
How many 1 x 1 inch square tiles IH
will fit in an 8 x 8 inch square
tile? Draw.
Answer:
8
Step-by-step explanation:
8 x 8 / 1 x 1 = 8
What is the distance between (8,-3) and (4,-7)
Answer:
The distance between 8,-3 is 12 and the distance between 4,-7 is 11
Step-by-step explanation:
6.24159 rounded to the hundredths place?
Answer:
6.24
Step-by-step explanation:
You exclude the 1 5 9 and since the 1 isn't higher than a 5 it remains a 4. Getting you 6.24
6.24159 rounded to the hundredths place is 6.24
Rounding given values to the nearest hundredth is similar to rounding such values to 2 decimal places
Given the value 6.24159, to round this to the nearest hundredth means that;
the values that must be after the decimal point must be 2.Hence 6.24159 expressed to the nearest hundredth will be 6.24 since the value that supersedes 4 is not up to 5.Therefore 6.24159 rounded to the hundredths place is 6.24
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A 3-pack of beaded necklaces costs $4.47. What is the unit price?
per necklace
Answer:
1.49 per necklace
Step-by-step explanation:
there are 3 necklaces sold for 4.47. if we divide the three necklaces by the overall price we get the price per necklace. 4.47 divided by 3 = 1.49
Answer:
Each necklace cost $1.49
Step-by-step explanation:
Three necklaces cost $4.47. So to see how much one necklace cost you must divide the cost of all three necklaces by 3. Then you get $1.49
If y = 5x - 2 were changed to y = x - 2, how would the graph of the new
function compare with the first one?
A. It would be less steep.
B. It would be shifted down
c. It would be shifted left.
D. It would be steeper.
SUBMIT
Answer:
A. It would be less steep.
Step-by-step explanation:
took the test
How do you solve 3(1+5)
Step-by-step explanation:
3(1+5) (distributive property)
= 1(3) + 5(3)
= 3 + 15
= 18 (answer)