Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
writes the equation below to help him determine x, the additional amount that he needs to
save to have enough to buy the bicycle.
89.25 + 129.85 = x
Does Victor's equation correctly model the problem? Click the arrows to choose an answer from
each menu
An equation that correctly represents this problem can show that the sum of the
Choose
and the Choose...
is equal
to the Choose
The equation
Choose...
models this situation correctly. Victor's equation is
Answer:
he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.
he could also do 89.25 + X = 129.85
Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is
Answer:
x² + (y - 3)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (0, 3) and r = 3, thus
(x - 0)² + (y - 3)² = 3², that is
x² + (y - 3)² = 9 ← equation of circle
Which of these numbers is in the solution set of X+4> 9? Check all that
apply
Answer:
are there answer choices
Step-by-step explanation:
sorry i did not answer
Point A is at (-3,-5) and point B is at (2,5).
What is the midpoint of line segment AB?
Answer:
Step-by-step explanation:
The answer would be -1, 0
The first numbers represent the A axis, so -3-2 = -1
The 2nd number represents the B axis, so 5-5=0
The midpoint of the line segment is (-1/2, 0).
What is midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
A = (-3, -5) = (a, b)
B = (2, 5) = (c, d)
The midpoint of AB is (x, y).
x = (a + c)/2
x = (-3 + 2)/2
x = -1/2
y = (b + d) / 2
y = (-5 + 5)/2
y = 0/2
y = 0
(x, y) = (-1/2, 0)
Thus,
The midpoint is (-1/2, 0).
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Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?
Answer:
Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.
Answer:
incorrect
wrong equation 2 1/2 / 3/4
correct equation 2 1/2 / 3/8 = 6 2/3
6 groups of students.
Step-by-step explanation:
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.
What is the measure of angle C?
25°
30°
60°
75°
Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).
The lengths of sides AC and AB are congruent.
Angle CAB = (x + 5) degrees.
Angle ABC = (3 x) degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:
⇒ x + 5 + 3x + 3x = 180
Rearrange the likewise terms and apply the arithmetic operation,
⇒ 7x + 5 = 180
Subtract 5 from both sides of the above equation,
⇒ 7x = 175
Divide both sides by 7 of the equation,
⇒ x = 25
Since Angle ∠ABC is (3 x) degrees.
Substitute the value of x = 25 to find the angle measure
⇒ Angle ∠C = 3(25) = 75°
Therefore, the measure of angle ∠C would be 75 degrees.
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lily wants to buy a smartphone, she has $500 to spend .list three ways she can get a good deal
3. Fine the value of x.
A) 3.5
B)7
C) 5
D)10
Answer:
I would say B
Step-by-step explanation:
I think
Suzanne bought a sweater at the sale price of $29.99. the original cost of the seater was $49.99. what percent represents the discount they suzanne received when buying the sweater?
a: 40% discount
b: 60% discount
c: 50% discount
d: none of the above
NEED HELP ASAP MASTERY GRADE
Answer:
= 40%
Step-by-step explanation:
Original price = 100%
Discount = Op - Np = $49.99 - $29.99 = $20
If $49.99 = 100%
What about $20 = ?
= (20 x 100) ÷ 49.99
= 2000 ÷ 49.99
= 40.008
= 40%
pls help me!! i will mark brainliest!
Answer:
35 deg
Step-by-step explanation:
1/2(100 - 30 deg) = 35
Find the mean,median and range of the following list of values and choose the correct result.
8, 9, 10, 10, 10, 11, 11, 11, 12, 13
Mean: 10.5
Median: 10.5
Range: 5
--------------------------------------------
To find the mean you order the numbers then add then divide.
Add
8+9+10+10+10+11+11+11+12+13=105
Divide
105÷10=10.5
Mean = 10.5
--------------------------------------------
Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.
Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.
the middle number is 10.5 so therefore it is the median.
--------------------------------------------
To find the range you subtract the biggest number to the smallest number.
Subtract
13-8=5
Therefore 5 is the range
Answer:
The median is 10.5 the range is 5 and the mean is 10.5
Step-by-step explanation:
To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5
Which equation has no solition
Answer:
Inconsistent equations: No solutions
For instance, 3=3 is a identity equation. A equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.
Step-by-step explanation:
Which circle is the graph of the equation (x - 3)2 + (y + 4)2 = 9?
Circle A
Circle B
Circle C
Circle D
Answer:
a circle with center at (h, k) or (3, -4) and radius 3
Step-by-step explanation:
Next time, please share the answer choices.
(x - 3)^2 + (y + 4)^2 = 9 = 3^2
is a circle with center at (h, k) or (3, -4) and radius 3.
What is the least common multiple of 8, 12 and 16?
Answer:
b
Step-by-step explanation:
Does 22, 95 and 63 form a triangle ? Explain
Answer:
yes
Step-by-step explanation:
because the angles can be, acute, obtuse or right.
Answer:
yes
Step-by-step explanation:
The answer is yes because the angles add up to 180
May someone please help with this graph and equation please?
Answer:
y=-2x+8
Step-by-step explanation:
Which of the following is equivalent to the expression below?
(7 X + 8) + (15 - 7x)
OA. 7x+ 23
B. 14x + 23
23
D. 7
Step-by-step explanation:
7x + 8 + 15 - 7x
Solving like terms
23
Option C is the correct answer
Answer:
23
Step-by-step explanation:
Given
(7x + 8) + (15 - 7x) ← remove parenthesis
= 7x + 8 + 15 - 7x ← collect like terms
= 23
Please help, need an answer ASAP!
Answer:
6, -7
Step-by-step explanation:
when I followed those instructions, that's what i got.
:)
Find the equation (in terms of x) of the line through the points (-3,2) and (4,-12)
Answer: y= -2x -4
Step-by-step explanation:
-3-4= -7
2-(-12)=14
14/-7= -2 as the slope. y=-2x +B
2=-2(-3) +b
2=6 +b b=-4
y= -2x -4
A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area of the panel and the length of the wooden frame around the panel.
Use the prices given given in the attachment to find out how much the shop charges per square metre of the panel and per metre for the wooden frame .
a) Each 1m² of fence panel costs:?
b) I metre of wooden frame costs:?
Plz answer this question.
Answer:
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Step-by-step explanation:
Let the price of 1 sq.m. of fence panel be x
Let the price of 1 m of wooden frame be y
In Fig 1
Length = 4 m
Breadth = 3 m
Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(4+3)=14 m
Cost of 1 m of wooden frame = y
Cost of 14 m of wooden frame = 14y
We are given that total cost of framing and fencing is 38
So. 12x+14y=38 ----1
In Fig 2
Length = 6 m
Breadth = 2 m
Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(6+2)=16 m
Cost of 1 m of wooden frame = y
Cost of 16 m of wooden frame = 16y
We are given that total cost of framing and fencing is 40
So. 12x+16y=40---2
Substitute the value of 12x form 1 in 2
38-14y+16y=40
2y=2
y=1
Substitute the value of y in 2
12x+16=40
12x=24
x=2
So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1
In fig 3
To verify :
Length = 3 m
Breadth = 5 m
Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]
Cost of 1 sq.m. = 2
Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]
Perimeter =2(l+b)=2(3+5)=16 m
Cost of 1 m of wooden frame = 1
Cost of 16 m of wooden frame = 16
So, Total cost = 30+16=46
We are given that cost of fencing and framing is 46
Thus verified
Hence
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Which of the following could be the equation of the line passing through (8, 3) parallel to y = -2.
y = 8
x = 8
y = 3
x = 3
I Point
Which of the following shows the polynomial below written in descending order?
4x^3 + 3x^7 - 9x + x^12
The polynomial in descending order would be:
x^12 + 3x^7 + 4x^3-9x.
It all has to do with their degrees (exponents).
I don't know what the answer choices are because you didn't post them, but that is the answer.
I hope this helps.
help plz. question is in photo.
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
I'll explain rn hold up
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
Fist simplify [tex]40\sqrt{40}[/tex] :
[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]
Now simplify [tex]4\sqrt{8}[/tex] :
[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]
Insert both into expression:
[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]
Simplify:
[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]
Rationalize:
[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]
Simplify:
[tex]5\sqrt{20}[/tex]
Convert to simplest radical form:
[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]
:Done
Can someone pls help
Answer:
a=he went back home
b=speed=240km/h
Step-by-step explanation:
ps: wouldn't mind brainliest
Answer:
a) Jo moved 1 kn from her starting position at minute 10
b) 0.13 km/min
Step-by-step explanation:
Look at the picture
Using coordinate geometry, prove that Quadrilateral MIKE is a Parallelogram:
Answer:
Counting the unit on graph, we observes:
EK = MI = 8
EK // MI // x-axis
=> MEKI is parallelogram
Hope this helps!
:)
Answer: It has two pairs of parallel lines
Step-by-step explanation:
coordinates of E (-4,4) K (4,4) M(-6,-3) I( 2,-3)
The distance from E to K is 8 the same as the distance from M to I.
The distance from M to E is about 7.3 and the distance between K and I is the the same thing.
Identify the y-intercept (initial value) in the function f(x)=130.27)x
Andy runs and eats breakfast every morning before work. When he runs, he bums 160 calories per mile for the first 3 miles. When he runs more than 3 miles, he burns 98 calories per additional mile. On Tuesday morning. Andy runs an additional x miles over 3 miles and then consumes y calories for breakfast. Which of the following functions, f , models the net number of calories Andy has lost after running and eating breakfast on Tuesday morning? A)f(x, y) = 98x – yB)f(x, y) = 160x + 98x – y C)f(x, y) = 480 + 98x + yD)f(x, y) = 480 + 98x – y
Image of page 25
Answer:
C
Step-by-step explanation:
So you already know you do 480 calories for the first 3 miles so it doesnt need to be multiplied by the X amount of extra miles
Now you burn 98 calories per extra mile so for instance (if you did say 2 miles you would want to multiply 98 calories by 2 cause you burn 98 calories per mile)
Lastly, you just ate Y amount of calories so you need to subtract that from the burned calories cause you just now consumed Y amount of calories
So in conclusion, the answer would be C. f(x, y) = 480 + 98x + y
if you flip three fair coins, what is the probability that you’ll get two tails and one head in order?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
MARKING BRAINLIEST
Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20
Step-by-step explanation:
Total marbles = 8 + 9 + 10 + 5 = 32.
Probability of green pencil= 8 / 32 = 1 / 4
Probability of yellow = 10 / 32 = 5 / 16
