Answer:
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
Step-by-step explanation:
Given the following ;
Brand 232:
Cost per ounce = 36cent
Brand 880:
Cost per ounce = $2.04 = 204cent
Assume the following :
Number of ounces of 232 brand = x
Number of ounces of 888 brand = y
Total ounces to be made :
x + y = 393 - - - (1)
Total cost of iodine :
Brand 232 = 36x
Brand 888 = 204y
36x + 204y = 25572 - - - - (2)
From (1)
x = 393 - y - - - - (3)
Substitute (3) into (2)
36(393 - y) + 204y = 25572
14148 - 36y + 204y = 25572
-36y + 204y = 25572 - 14148
168y = 11424
y = 11424 / 168
y = 68
From ; x = 393 - y
y = 68
x = 393 - 68
x = 325
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
a rectangle is 14 inches long and 4 inches wide. a smaller, similar rectangle is 2 inches wide. to the nearest inch what is the length of the length of the smaller rectangle A 3 1/2 inch B 7 inch C 8 inch D 28 inch
Answer:
7
Step-by-step explanation:
4/2 = 14/x, cross multiply and simplify, x=7
Answer:
7
Step-by-step explanation:
Since the rectangle is 14 inches long and 4 inches wide, and the similar rectangle is 2 inches wide we can set up a proportion. We have[tex]\frac{14}{4} = \frac{x}{2}[/tex]. Now we can cross multiply. We get 28 = 4x, and x = 7.
Which coordinate pair is a solution of the linear
equation below?
5x – 3y = -21
Click on the correct answer.
(9,-8)
(-9,-8)
(-9,8)
Answer:
5x - 3y = -21
5x - 3y
= 5(-9) - 3(-8)
= -45 + 24
= -21
the answer is (-9,-8)
Which of the following correctly expresses sin (70) + sin(30) as a product?
:
Select the correct answer below:
-2 sin (50)cos (20)
2sin (50)sin(20)
2sin(50)cos(20)
2sin(20)cos (50)
Answer:
2sin50 cos20
Step-by-step explanation:
We need to write sin (70) + sin(30) as a product. The formula used here is :
[tex]\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})[/tex]
Here, A = 70 and B = 30
So,
[tex]\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20[/tex]
So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is (c).
Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form
Answer:
y = 0.5x + 3
Step-by-step explanation:
First consider the slope of this line. If two points that lie on this line are ( 0, 3 ) - ( which is supposedly the y - intercept ), and ( 2, 4 ) take that change in y / change in x to derive the slope;
[tex]( 0, 3 ), ( 2, 4 )\\\\\\Slope = 3 - 4 / 0 - 2,\\Slope = - 1 / - 2\\Slope = 1 / 2 \\\\Slope = 0.5[/tex]
I did mention earlier that the y - intercept was found to be 3. If that is so, taking the equation in point - slope form, we can tell the equation of the line through the following steps;
[tex]y = mx + b,\\m = slope, \\b = y - intercept\\\\Equation, y = 0.5x + 3[/tex]
10. Simplify this expression: 13+ (-12) - (-5) = ?
A.-30
B. -6
C.6
D. 30
Answer:
C
Step-by-step explanation:
Noting that
+ (- ) is equivalent to subtraction
- (- ) is equivalent to addition
Given
13 + (- 12) - (- 5)
= 13 - 12 + 5
= 1 + 5
= 6 → C
Answer:
C) 6
Step-by-step explanation:
13 + (-12) - (-5) = 13 + (-12) + 5
= 1 +5
= 6
13 & (-12 ) have different sign, so subtract and put the sign of the greater number's sign.
Which of these units should be used to measure the mass of a small dog? A. milligram B. centigram C. gram D. kilogram
Answer:
D. kilograms
Step-by-step explanation:
A small dog is about the size of a human infant. We measure infants in kilograms, so the option best fitting for measuring a dog would be kilograms or kg.
How many hundreds in a billion
Answer:
Step-by-step explanation:
1 one 10 ten 100 hundred 1.000 one thousand 10,000 ten thousand 100,000 hundred thousand 1,000,000 One million 10,000,000 ten million 100,000,000 Hundred million 1,000,000,000 One billion 10,000,000,000 ten billion 100,000,000,000 hundred billion 1,000,000,000,000 one trillion etc.
Answer:
10,000,000
Step-by-step explanation:
whats the answer???
Answer:
A
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
2x-2+3x-5=90
5x-7=90
5x=97
x=19.4
2x-2=2(19.4)-2=38.8-2=36.8
Therefore, the correct answer is choice A. Hope this helps!
You are going discount shopping for some new sweaters, T-shirts, and pants. Sweaters (s) cost $5, T-shirts (t) cost $8, and pants (p) cost $2. What algebraic expression models the total cost of clothes that you buy?
Suppose you bought 24 sweaters, 6 T-shirts, and 17 pairs of pants. How much did you spend?
Answer:
24s + 6t + 17p= 202
Step-by-step explanation:
Answer:
24x + 6y + 17z = 202
Step-by-step explanation:
Let sweaters be x
T-shirt be y
Pant be z
The equation is 24x + 6y + 17z
Substituting with the cost of each,
24(5) + 6(8) + 17(2)
120 + 48 + 34 = 202
The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4, 5)?
y = −2x + 13
y = negative one halfx + 7
y = negative one halfx + 3
y = −2x − 3
Answer:
y = −2x + 13
Step-by-step explanation:
equation of line slope intercept form is y = mx +c
where m is slope and c is y intercept
when two lines are parallel then their slope are equal.
_______________________________________
Given line
CD
y = −2x − 2
it is in form of y = mx +c
thus, m = -2
Given that other line parallel to CD y = −2x − 2
Thus, its slope will be -2.
Let the equation of required line be
y = mx +c (as slope will be -2)
Then equation of line will be
y = -2x +c
Given that this line contains (4,5) it will satisfy the equation y = -2x+c
using x = 4 and y = 5
we have
y = -2x +c
5 = -2*4 + c
=> 5 = -8 + c
=> c = 5+8 = 13
Thus, equation of line parallel to y = −2x − 2 and containing point(4,5) is
y = −2x + 13
Answer:
A. y = −2x + 13
Step-by-step explanation:
HELP ME PLEASE! i need help.
Answer: 2 goes to 3 3 goes to 2 1 goes to 4 and 4 goes to 1
Step-by-step explanation:
Step-by-step explanation:
i think like this one
hope it right
Tessa bought stock in a restaurant for $178.00. Her stock is now worth $256.32. What is the percentage increase of the value of Tessa‘a stock?
Answer: 44%
Step-by-step explanation:
Cost of stock = 178
Present value = 256.32
Increase in value = 78.32
= 78.32/178 x 100 = 44%
Answer:
44%
Step-by-step explanation:
Well first you have the starting value $178 and the new value $256.32.
So 256.32 - 178 is 78.32.
So our fraction is 78.32/178.
So we divide them which is .44.
And we have to make a percent which is 44%.
If the two factors in a multiplication problem are integers with different signs how does the product compared to other number?
Answer and Step-by-step explanation:
Well, the product would not change much. If we took the problem -3*7 it has one negative number and one positive number. Now, the rule is when there is two different signs, the answer becomes negative right away. So, your answer would be -21. If the integers were the same, the equation would be 3*7=21. Therefore, there is not much change in the product only the signs.
Which equation represents that line that passes through (-6,7) and (-3,6)
Answer:
B. [tex]y=-\frac{1}{3}x+5[/tex]
Step-by-step explanation:
Rewrite in radical form PLEASE HELP
Answer:
b)7c∛d⁵
or
c) 7c∛d⁵
Both options are the same
Step-by-step explanation:
In the above diagram, we are asked to simplify this:
= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d
Collect the like terms
= ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d
= c¹/⁴ × 1/2c³/⁴ × 2d⁴/³ × 7d¹/³
= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)
= 1/2c(¹) × 14d(⁵/³)
= 1/2c× 14d(⁵/³)
Collect the whole number together
= 1/2× 14 [C × d(⁵/³)]
= 7cd⁵/³
Writing it in a radical form
= 7c∛d⁵
I. Let xOy be an angle, A and are two points on [Ox), C and D are two points on [Oy)such
that OC = OA and OD = OB.
a) Show that triangles OAD and OCB are congruent.
b) Give the corresponding congruent elements.
c) Prove that AB = CD.
d) Let I be the point of intersection of [AD] and [BC]. Show that the two triangles IAB and ICD
are congruent.
e) Compare IA and IC.
f) Prove that (OI) is bisector of xOy
Answer:1. Angle-Side-Angle (ASA) Postulate
2. corresponding parts of congruent triangles are congruent (CPCTC)
Step-by-step explanation:
Which statements are true about reflections? Check all that apply.
An image created by a reflection will always be congruent to its pre-image.
An image and its pre-image are always the same distance from the line of reflection.
If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
The line of reflection is perpendicular to the line segments connecting corresponding vertices.
The line segments connecting corresponding vertices are all congruent to each other.
The line segments connecting corresponding vertices are all parallel to each other.
Answer:
A, B, C, D, F
Step-by-step explanation:
A. An image created by a reflection will always be congruent to its pre-image.
Congruent means identical or similar. The orientation, size, and shape of the pre-image are not changed after a reflection- therefore, the pre-image and image are congruent.
B. An image and its pre-image are always the same distance from the line of reflection.
When a pre-image is flipped across the line of reflection, both figures are perfectly symmetrical. Nothing has changed aside from orientation and location on the graph. The number of units between the figures and the line of reflection should remain unchanged.
C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
When you reflect a pre-image with a point that lies on the line of reflection, that point will stay on the line of the reflection as the rest of the figure is flipped.
I will explain these two answers together since they have similar explanations.
D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.
F. The line segments connecting corresponding vertices are all parallel to each other.
In a reflection, the horizontal or vertical (depending on the line of reflection, y-axis or x-axis) coordinates are altered. However, if one were to draw an imaginary line connecting the corresponding vertices, both the image and pre-image are parallel and perpendicular.
I hope this helped, good luck on your work/test!
Answer:
A. An image created by a reflection will always be congruent to its pre-mage.
B. An image and its pre-image are always the same distance from the line of reflection.
C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.
F. The line segments connecting corresponding vertices are all parallel to each other.
Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a function of time, in seconds. image 84feafed15d34870b0898ecea9d9cf41 Select all of the values that are in the domain of the function represented by the graph. A -5 seconds B 0 seconds C 2.5 seconds D 6 seconds E 10 seconds
Answer:
The correct answers are B) 0 Seconds C) 2.5 Seconds and D) 6 Seconds
Step-by-step explanation:
These three values fall in the domain of the function that's represented by the graph. 0 ≤x≤ 8. Hope this helps, good luck!
The values that are in the domain of the function represented by the graph are B) 0 Seconds C) 2.5 Seconds and D) 6 Seconds
What is Domain?The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.
The domain refers to all of the values that are included in a relation or function.
The Domain set is made up of all used independent input values.
Given:
As, we now the domain are the input values.
From the graph the domain is represented on the x- axis.
So, the graph show the value from 0 to 8 on the x- axis.
Hence, the domain of the graph is { 0≤ x ≤ 8}
Learn more about Domain here:
https://brainly.com/question/28135761
#SPJ2
PLS HELP 30 PIONTS AND I HAVE NO IDEA HOW TO DO IT SO MOST EXPLANATORY GETS BRAINLIEST
Answer:
9y+24
Step-by-step explanation:
2(3y+6)-3(-4-y)
6y+12+12+3y
9y+24
Answer:
[tex]9y+24[/tex]
or
[tex]3(3y+8)[/tex]
Step-by-step explanation:
The expression is:
[tex]2(3y+6)-3(-4-y)[/tex]
In order to simplify the expression first multiply the numbers inside the parenthesis by the factor:
[tex]6y+12+12+3y[/tex]
[tex]6y+24+3y[/tex]
[tex]9y+24[/tex]
Another alternative is:
[tex]3(3y+8)[/tex]
Because 3 is a common factor of 9 and 24
ASAPPP What is the slope of the line represented by the equation y
3?
-3
4
o
O
The slope of the line represented by this equation is 4/5.
We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).
This equation is in slope-intercept form, or
y = mx + b where m is the slope and b is the y-intercept. The number in the m position in our equation is 4/5, so the slope is 4/5
Hope this helps!
please mark me brainliest!
The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
(1-4)²
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Given
[tex]Points: (x_7 - y_i),(4,8)[/tex]
Required
Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]
Given that there are two points, the distance between them is calculated using
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this case;
[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]
Substitute these in the given formula
Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
Color the strips. Show two different ways to show 1 third.
Picture above.
Answer:
The first way is to color only the leftmost box of the three, and the second is to color only the rightmost box. Reference the example if you need further clarification.
In the diagram, point P is a point of tangency. Find the radius r of circle O.
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
r=12
Step-by-step explanation:
pls find WV
a.7
b.23
c.84
d.145
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]WV=XY[/tex]
[tex]12x-61=3x+2[/tex]
[tex]12x-3x=2+61[/tex]
[tex]9x=63[/tex]
[tex]9x/9=63/9[/tex]
[tex]x=7[/tex]
[tex]12x-61[/tex]
[tex]12(7)-61[/tex]
[tex]=23[/tex]
Answer:
B. 23
Step-by-step explanation:
This is a congruent triangle by SAS Postulate
So,
XY = WV
=> 3x+2 = 12x-61
=> 2+61 = 12x-3x
=> 63 = 9x
Dividing both sides by 9
=> x = 7
Now Side WV:
=> 12(7)-61
=> 84-61
=> 23
Mikes mother took 18 minutes to make 2 bowls of salad. How long would it take to make 7 such bowls of salad?
Answer:
63 minutes or 1 hour 3 minutes
Step-by-step explanation:
We can use ratios to solve
18 minutes x minutes
--------------- = --------------
2 bowls 7 bowls
Using cross products
18*7 = 2x
Divide by 2
18/2 *7 = x
63 minutes
Answer: 63 minutes or 1 hour and 3 minutes
Step-by-step explanation:
18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.
18 / 2 = 9
Now multiply that by 7 to find out how long it takes to make 7 bowls.
9 * 7 = 63
63 minutes
HELP ME PLSSSSSsss Solve the following inequality: 5|2x + 4| > -10? Would it be all real numbers....
Answer:
all real numbers
Step-by-step explanation:
5|2x + 4| > -10
Divide by 5
5/5|2x + 4| > -10/5
|2x + 4| > -2
An absolute value is always greater than a negative number so the solution is all real numbers
What is the value of x
Answer:
A. 36 degrees
Step-by-step explanation:
180 is for straight lines,
180-79-68
= 36 degrees
Can anyone help. Thanks
Answer:
Option C
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
X-2/3 = 2x+4/2
Show answer
Answer:
x = -4
Step-by-step explanation:
Make x variable on one side.
(x - 2)/3 = (2x + 4)/2
Simplify.
x/3 - 2/3 = 2x/2 + 2
x/3 - 2/3 = x + 2
Add 2/3 and -x on both sides.
x/3 - x = 2 + 2/3
-2/3x = 8/3
Multiply -3/2 on both sides.
x = -4
Answer:
x=-4
Step-by-step explanation:
(x-2)/3 = (2x+4)/2
We can use cross products
(x-2) *2 = 3(2x+4)
Distribute
2x-4 = 6x+12
Subtract 2x from each side
2x-4-2x = 6x-2x+12
-4 = 4x+12
Subtract 12
-4-12 = 4x+12-12
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
I need help please........
Answer:
the answer is option A
[tex]\left[\begin{array}{ccc}56&56&-14\\-126&92&62\\-78&26&2\end{array}\right][/tex] I HAVE CHECKED THE VALUES THIS ANSWER IS CORRECT
Step-by-step explanation: