Josh bought a total of 1,800 grams of fruit. This includes 1.5 kg of oranges (converted to 1,500 grams), 150 grams of grapes, and 15,000 centigrams of apples (converted to 150 grams). The weights were converted to grams to find the total weight.
Explanation:The subject of the question you've asked pertains to Mathematics, specifically to the topic of weight measurement and addition. We have to convert different measurements to a uniform unit and then sum them up to find the total weight of all the fruits bought by Josh at the farmer's market.
To solve the problem presented in the question: Josh bought 1.5 kilograms of oranges, 150 grams of grapes, and 15,000 centigrams of apples. We want to find out the total weight of fruits in grams. First, we need to convert kilograms and centigrams to grams, since kilograms and centigrams are not directly compatible with grams. We know that 1 kilogram equals 1,000 grams, and 1 centigram equals 0.01 grams.
So, converting Josh's purchases to grams:
Oranges: 1.5 kg × 1,000 = 1,500 grams
Grapes: 150 grams (already in grams, no conversion necessary)
Apples: 15,000 cg × 0.01 = 150 grams
Now, we simply add all the weights in grams:
1,500 grams (oranges) + 150 grams (grapes) + 150 grams (apples) = 1,800 grams of fruit in total.
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If names a major arc of a circle, then must be a a) minor arc b)major arc c) semicircle
Answer:
should be a
Step-by-step explanation:
Tina has $220 in her account. Cliff has $100 in his account. Starting in July, Tina adds $25 to her account on the first of each month, while Cliff adds $35 to his. How many dollars will they have in their accounts when the amounts are the same
Answer:
Both accounts will have $450
Step-by-step explanation:
Tina y= 25x+220
Cliff y= 35x+100
we can use substitution to solve this problem so the formatting would be:
25x+220=35x+100
subtract 25x from both sides
220=10x+100
Subtract 100 from both sides
120=10x
Divide both sides by 10
12=x
now that we have an x value we can plug it into either equation.
y=100+35(10)
y=100+350
y=450
What’s the slope of y=-7x+5
Answer:
m=-7
Step-by-step explanation:
The slope intercept form is y=mx+b.
So, the variable that represents slope is x.
If your plug your equation in, -7 would be the slope.
PLEASEEE HELPPP ASAPP! THANK YOU LOTS!! <3 (7TH GRADE MATH)
btw January: -5/8 and July: 6 5/8
Answer:
Therefore the change in water level over the course of 9 months is a drop in level of 3.4 cm (= -3.4 cm)
Step-by-step explanation:
i) change in water level over the course of 9 months =
[tex]- \frac{5}{8} - 0.4 - 0.4 - 6 - 2.9 + 3.2 + 6\frac{5}{8} - 3.2 + 0.3[/tex]
= [tex]-0.625 - 0.4 - 0.4 - 6 - 2.9 + 3.2 + 6.625 - 3.2 + 0.3[/tex]
= -3.4
Therefore the change in water level over the course of 9 months is a drop in level of 3.4 cm (= - 3.4 cm)
The tables below show four sets of data:
Set A
x
1
2
3
4
5
6
7
8
9
y
10
9
8
7
6
5
4
3
2
Set B
x
1
2
3
4
5
6
7
8
9
y
3
4
5
6
7
8
9
10
11
Set C
x
1
2
3
4
5
6
7
8
9
y
8
6
5
4
3.5
3
2.5
2
2
Set D
x
1
2
3
4
5
6
7
8
9
y
1
2.5
2.5
3
4
5
6
8
9
For which set of data will the scatter plot represent a positive linear association between x and y?
Set A
Set B
Set C
Set D
Answer: Set A
Step-by-step explanation:
Because both x and y have to have a even number.
Example: (1,2) (2,4)...ect
Suppose we want to choose 2 objects, without replacement from the objects pencil, eraser and desk
The question is about finding the number of ways to choose 2 items without replacement from a set of 3 items using combinatorics, and there are 3 different ways to do so.
The question deals with the concept of combinations in probability and combinatorics. When choosing 2 objects from a set of 3 items (a pencil, an eraser, and a desk) without replacement, we can use the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose.
In this case, we have 3 items and we want to choose 2, so we plug the values into the formula to get the number of combinations without replacement.
Using the combination formula, C(3, 2) = 3! / (2! × (3-2)!) = 3.
Therefore, there are 3 different ways to choose 2 objects from the set of a pencil, an eraser, and a desk.
For which value of x is the equation 3x + x = 2x + 24 true?
A) 3
B) 4
C) 6
D) 12
do you guys know the answer?
Answer:
D) 12
Step-by-step explanation:
3x+x=2x+24
4x=2x+24
4x-2x=24
2x=24
x=24/2
x=12
Five times a number , subtracted from ten , is triple the number . Find the number.
The value of the variable number x will be 1.25.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Let x be the number. Then the Five times a number is written as 5x. Then the expression will be
⇒ 10 - 5x
The triple number is written as 3x. Then the equation is given below.
10 - 5x = 3x
Simplify the equation, then we have
10 = 3x + 5x
10 = 8x
x = 10 / 8
x = 1.25
The value of the variable number x will be 1.25.
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Final answer:
The algebraic equation set up from the problem 10 - 5x = 3x leads us to find that x = 1.25. Thus, the number in question is 1.25.
Explanation:
The question describes an algebraic problem where we are trying to find a particular number. According to the problem, five times this number, when subtracted from ten, equals three times the number. To find the number, we set up the equation based on the given information:
10 - 5x = 3x
Where x is the number we are trying to find. Now, we will solve for x:
Add 5x to both sides of the equation to get all x terms on one side:
10 = 3x + 5x
Combine like terms on the right side:
10 = 8x
Divide both sides by 8 to solve for x:
x = 10/8
Simplify the fraction:
x = 1.25
So, the number we were seeking is 1.25.
Which function models the sequence -5, -7,-9, -11, ...?
Answer:
-13
Step-by-step explanation:
add two but put a negative .
The sum of two numbers is 52. The larger number is 8 more than the smaller number. What are the numbers?
Answer:
The smaller number is 22
The larger number is 30
Step-by-step explanation:
L + S = 52
L = S + 8
Set both equations equal to L.
S + 8 = -S + 52
+S +S
2S + 8 = 52
- 8 - 8
2S = 44
S = 22
To find the larger number, plug 22 in as S into the equations.
L = 30
Final answer:
The two numbers are 22 and 30, with the smaller number being 22 and the larger one being 30 (which is 8 more than the smaller number).
Explanation:
The sum of two numbers is 52, and the larger number is 8 more than the smaller number. Let's denote the smaller number as x and the larger number as x + 8. The equation to represent their sum is:
x + (x + 8) = 52
By combining like terms, the equation simplifies to:
2x + 8 = 52
Subtract 8 from both sides of the equation to isolate the term with x:
2x = 44
Divide by 2 to solve for x:
x = 22
Now that we have the value of the smaller number, we can find the larger number:
x + 8 = 22 + 8 = 30
So, the two numbers are 22 and 30.
what is the slope of (1,2) and (4,11)
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 11)
m = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
Answer:
3
Step-by-step explanation:
y2 - y1/ X2 - X1
11 - 2/ 4-1
9/3
= 3
find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an approximation for pi.
Answer:
2794 m^2
Step-by-step explanation:
Area of Triangle - Area of Circle
1/2bh - piR^2
4050 - 1256
= 2794
The approximate area of the shaded region is, 2794 m²
What is Area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given a right triangle with a circle cut out of it,
Area of circle = π*Radius²
Area of triangle = 1/2*base*height
Area of circle = π*20² = 1256 m²
Area of triangle = 1/2*90*90 = 4050 m²
Area of the shaded region = Area of triangle - Area of circle
Area of the shaded region = 4050 - 1256 = 2794 m²
Hence, The approximate area of the shaded region is, 2794 m²
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Quadrilateral ABCD has 2 sets of parallel sides, 4 congruent angles, and 4 congruent
sides. What are all the classifications for Quadrilateral ABCD? Mark all that apply.
Parallelogram
Rectangle
Trapezoid
Square
Kite
Rhombus
Answer:
It can be a parallelogram, a square, a rectangle and rhombus too.
Answer:
There are many special types of quadrilateral.
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .
A parallelogram also has the following properties:
Opposite angles are congruent;
Opposite sides are congruent;
Adjacent angles are supplementary;
The diagonals bisect each other.
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles.
A rectangle has all the properties of a parallelogram, plus the following:
The diagonals are congruent.
A rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi . (I love that word.)
A rhombus has all the properties of a parallelogram, plus the following:
The diagonals intersect at right angles.
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
Step-by-step explanation:
you should be able to find your answer in this i rlly hope it helps you
A builder is putting floor tiles on each of the 15 kitchen floors in an apartment building. Each floor uses 40 tiles. Each floor tile costs $7.
How much does the builder spend on the floor tiles?
Answer:
$4200
Step-by-step explanation:
15 floor times 40 tiles
15 X 40 = 600 tiles
so 600 tiles times 7 dollars
600 X 7 = 4200 dollars
Final answer:
To find the total cost of floor tiles for 15 kitchen floors, multiply the total number of tiles by the cost per tile. The builder will need 600 tiles (15 floors × 40 tiles) and with each tile costing $7, the total cost comes to $4200.
Explanation:
The student is asking about the total cost of floor tiles needed for an apartment building project. To calculate this, we need to find the total number of tiles used and then multiply this by the cost per tile. There are 15 kitchen floors, with each floor using 40 tiles. Each tile costs $7.
First, let's find out how many tiles are needed in total:
Number of floors × Number of tiles per floor = Total number of tiles
15 floors × 40 tiles per floor = 600 tiles in total
Next, let's calculate the total cost:
Total number of tiles × Cost per tile = Total cost
600 tiles × $7 per tile = $4200
Therefore, the builder spends a total of $4200 on floor tiles for the 15 kitchen floors.
17 more than Rick's score is 45.
Use the variable r to represent Rick's score.
Here is the equation representing Rick's score:
17 + r = 45
Solving for r, we get r = 45 - 17.
So, what is 45 - 17?
What is the length of the radius, r?
Answer:
18 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ← r is the radius
Given
C = 36π, then
2πr = 36π ( divide both sides by 2π )
r = [tex]\frac{36\pi }{2\pi }[/tex] = 18
F(x)=2x+6
G(x)=-5x-9
Find the product of f and g.
A.-10x^2-54
B.-10x^2-48x-54
C.-10x^2-12x-54
D.-10x^2+48x-54
Answer:
Step-by-step explanation:
F(x) = 2x + 6
G(x) = - 5x - 9
product of F and G .....the product is the result of multiplication
(2x + 6)(-5x - 9) =
-10x^2 - 18x - 30x - 54 =
-10x^2 - 48x - 54 <====
Need to show my work
Answer:
[tex]\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}[/tex]
[tex]\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}[/tex]
Answer:
Step-by-step explanation:
y = 3x/4 .........(1)
5x/2 + 2y = 5 .......(2)
Putting (1) into (2)
5x/2 + 2(3x/4) = 5
5x/2 + 3x/2 = 5
Multiply each term by 2
5x + 3x = 10
8x = 10
x = 10/8
x = 5/4
x = 1 1/4
And y = 3x/4
y = 3(5/4) ÷ 4
y = 15/4 ÷ 4
y = 15/(4×4)
y = 15/16
Solve by factoring:
4x² - 8x=0
Answer:
Step-by-step explanation:
4x² - 8x= 0
4x(x -2) = 0
: 4x = 0 or x - 2 = 0
4x = 0
Dividing by 4
x = 0/4
x = 0
And
x - 2 = 0
x = 2
Hank has eight action figures this is 12 less than the quotient of 60 and the number figures palo has
Answer:
6
Step-by-step explanation:
hold up hold up so you are saying 60 less than what quotient I'm guessing 68 divided by 12 so the answer would be 6
2 litre 450 ml mustard oil was used from a can of 5 litre in a month. How much is left? For how many months in all can it be used?
Answer:
Step-by-step explanation:
1 liter = 1000 ml....so 2 liters and 450 ml = (2* 1000) + 450) = 2450 ml
5 liters = (5 * 1000) = 5000 ml
5000 ml - 2450 ml = 2550 ml or 2 liters and 550 ml <== this is how much is left
so he used 2450 ml in 1 month....and he has 5000 ml
5000/2450 ≈ 2.04 months <=== it will be all used up
Answer:
Step-by-step explanation:
1 litre = 1000 ml
5 liter = 5 * 1000 = 5000 ml
2 liter 450 ml = 2 liter + 450 ml = 2000 ml + 450 ml = 2450 ml
Oil left = 5000 - 2450 = 2550 ml
2550 - 2450 = 100 ml
4 liter 900ml is used in two months and 100 ml will be left over
A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up and solve an inequality to calculate the maximum number of games you can purchase
Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.
the graph of f(x)=|x| is reflected across the x-axis, moved 2 units to the right and 7 units down. What is the function?
The transformed function after reflecting f(x)=|x| across the x-axis, moving it 2 units to the right, and 7 units down is f(x)=-|x-2|-7.
Explanation:The original function is f(x)=|x|.
When the graph of the function is reflected across the x-axis, it changes the sign of the output or y-coordinate.
Thus, the absolute value function becomes f(x)=-|x|.
When this function is moved 2 units to the right, it results in a shift in the coordinate of x within the function, thus becoming f(x)=-|x-2|.
Lastly, when the function is moved 7 units down, 7 is subtracted from the function, resulting in the final equation of f(x)=-|x-2|-7.
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what is n/8=11/5 solve for n
Answer:
n = 17.6
Step-by-step explanation:
Cross-multiply and you have:
5 * n = 11 * 8
5n = 88
n = 88/5 = 17.6
What is the values of x and y?
(5x) + (9y)
Answer:
x=5 y=9
Step-by-step explanation:
hope this helps :) have a nice day :) :) :)
Find the value of x. Round your answer to the nearest tenth.
A.) 52.6
B.) 52.9
C.) 6.2
D.) 6.5
Answer:
Option A: 12.5
Step-by-step explanation:
We use trigonometric ratios on this right angled triangle.
[tex]$ cos \hspace{1mm} \theta = \frac{adj}{hyp} $[/tex]
we get:
[tex]$ cos \hspace{1mm} 28^{\circ} = \frac{11}{x} $[/tex]
Also cos 28° = 0.88
Therefore, x = [tex]$ \frac{11}{0.88} $[/tex]
[tex]$ = \frac{100}{8} =\textbf{12.5} $[/tex]
OPTION A is the answer.
What is the product?
(-3s+2t)(4s-t
Answer:
-12s^2 + 11st - 2t^2
Step-by-step explanation:
What is the sum of 197+413 in expression
Answer:
197+413
=197+413
=610
Step-by-step explanation:
this is how i was taught
M - 2 3/4 = 6 1/2 what does the m equal
Answer:
Step-by-step explanation:
6 1/2 + 2 3/4=M
M=9 1/4
What is an equation of the line that passes through the points (7,-6)(3,-6)
Answer:
Step-by-step explanation:
Since both points have their y coordinate as -6, and this is a line,
Then your answer would be y = -6