Answer:
288
Step-by-step explanation:
Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.
You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change
96/6 = 16.
Now multiply 18 and 16 to get the number of cookies.
18 x 16 = 288
A die is tossed. Find the odds against rolling a number greater than 4.
Reason:
There are 4 outcomes we don't want (rolling 1,2,3 or 4) and 2 outcomes we do want (rolling 5 or 6)
This gives the odds against ratio of 4:2 or 2:1
This can be written out as "2 to 1" or "two to one".
Having 2 to 1 odds means that we're twice as likely to get something we don't want vs something we do want.
Side note: the odds in favor will have us flip the ratio.
Factor out the GCF from the given polynomial. 38x-8
Answer:
2(19x - 1)
Step-by-step explanation:
The GCF of 38 and 8 is 2 :
Now we take a common factor of 2 :
2(19x - 1)
Hope this helped and have a good day
Answer:
2(19x-4)
The gcf of 38 and 8 is 2 so factor it out.
Mitra created a mosaic design using square 2x2 cm white tiles and 2x3 cm rectangular centimeter black tiles. She used twice as many white tiles as black tiles. The finished pattern was 1092 square centimeters in area. How many rectangular tiles did she use?
Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of white tiles and y represent the number of black tiles.
Area of white tiles = 2 cm * 2 cm = 4 cm²
Area of black tiles = 2 cm * 3 cm = 6 cm²
She used twice as many white tiles as black tiles. Hence:
x = 2y (1)
Also, the finished pattern was 1092 square centimeters in area. Hence:
4x + 6y = 1092 (2)
From both equations:
x = 156, y = 78
Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²
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How to find the average collection period
Answer:
dividing a company's yearly accounts receivable balance by its yearly total net sales
Angles in circles
How many degrees are in a half of a full turn?
Answer:
180 degrees
Step-by-step explanation:
Because 360 is i full turn around and you can divide 360 by 2 and you will get 180
Hope This Helped
Which equation can be used to solve for c?
Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
The equation which is used to find the value of c will be c = 5/Cos 35
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
We are given the following
m<ACB = 90degrees
m<ABC = 35degrees
The side opposite to m<ABC is AC
BA = hypotenuse
CB = adjacent = 5inches
Required
The equation to solve BA which is c
Using the Pythagoras theorem;
Cos Ф = Adjacent/Hypotenuse
Cos m<ABC = CB/BA
Cos m<ABC = 5/c
c = 5/cosm<ABC
c = 5/Cos 35
Hence the equation that can be used to solve for c is c = 5/Cos 35
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Alejandro and Emila ordered a pizza. Alejandro at 1/3 of the pizza and Emila ate 2/5 of the pizza. How much did they eat together? Was there any pizza left? How much?
Answer: [tex]\frac{4}{15}[/tex] of the pizza was left
Step-by-step explanation:
lets first get the denominators the same..
[tex]\frac{1}{3} = \frac{5}{15}[/tex]
[tex]\frac{2}{5} = \frac{6}{15}[/tex]
To find the total pizza eaten we add these two fractions
[tex]\frac{5}{15} +\frac{6}{15} =\frac{11}{15}[/tex]
we can think of [tex]\frac{15}{15}[/tex] as 1 pizza because it simplifies to 1
[tex]\frac{15}{15} -\frac{11}{15} =\frac{4}{15}[/tex]
Therefore, [tex]\frac{4}{15}[/tex] of the pizza was left
Answer:Amount left=4/15
Step-by-step explanation:
The solution is in the image
x − y = 12
x + 2y = 21
Answer: x=15, y=3
Step-by-step explanation:
Subtracting the two equations, we get -3y=-9, meaning y=3.
Substituting this into the first equation, we get that x-3=12, and thus, x=15.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.
The ratio of the lengths of and is 1: 1
PQ parallel to RS
PR and PS; perpendicular to PQ and RS.
What are the perpendicular lines?
Perpendicular lines are lines that intersect at a 90 degrees angle. Parallel lines are lines that are always the same distance apart.
FOR parallel lines, the perpendicular line joining then is always the same; here the 4 angles formed are all 90°
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Consider the halfpipe with a diameter of 7 cm and a height of 20 cm.
Find its volume, rounding to 2 decimal places.
Answer: 384.85
Step-by-step explanation
I paid $8000 to burrow $50000 for 2 years. What was the rate of simple interest charged?
[make brainliest if got correct and 20pts]
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$8000\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &2 \end{cases} \\\\\\ 8000=5000[1+(\frac{r}{100})(2)]\implies \cfrac{8000}{5000}=1+\cfrac{r}{50}\implies \cfrac{8}{5}=1+\cfrac{r}{50} \\\\\\ \cfrac{8}{5}-1=\cfrac{r}{50}\implies \cfrac{3}{5}=\cfrac{r}{50}\implies \cfrac{3(50)}{5}=r\implies 30=r[/tex]
Your answer should be an expanded polynomial in standard form.
(7a³-2a-2) + (-5a + 3) =
Answer:
7a^3-7a+1
Step-by-step explanation:
(7a³-2a-2) + (-5a + 3) =
Combine like terms
7a^3-2a-5a-2+3
7a^3-7a+1
Graph the system of inequalities:
-x + 2y - 4 <0
3x + 4y + 420
Step-by-step explanation:
draw the graph then use the graph to answer the following questions
What is the solution to the following system of equations? (2 points) y = x2 + 10x + 11 y = x2 + x − 7
Answer:
y=x^(2)+10x+11,y=x^(2)+x-7
Step-by-step explanation:
I think so bro
Step-by-step explanation:
I assume you mean
y = x² + 10x + 11
y = x² + x - 7
well, I subtract equation 2 from equation 1 :
0 = 9x + 18
9x = -18
x = -2
y = x² + x - 7 = (-2)² - 2 - 7 = 4 - 2 - 7 = -5
the solution (the intersection point of both graphs) is the point (-2, -5).
Find the surface area of the prism. 8 4 14
Answer:
4 8 1 4 0,683 the (783)-213=509
can you please help me with this two questions
Answer:
2) d. 60°
3) a. AB
Step-by-step explanation:
Question 2
ΔABC and ΔCDA are congruent because:
they are both right trianglesthey share one side (AC)their hypotenuse are parallel (marked by the arrows)This means the corresponding side lengths and angles are equal.
Therefore,
∠CDA = ∠ABC
⇒ x = 60°
Question 3
The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).
Therefore, the hypotenuse of ΔABC is the line AB.
Help please…………………..
please help meeeee will mark them brain
from biggest to smallest
What is the area of the parallelogram?
Answer:
Area = 120 in²Step-by-step explanation:
follow the formula in the picture
Area = b * h
Area = 15 * 8
Area = 120 in²
In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, intersecting arcs of equal size are drawn centered at points D and E. Point P is located at the intersection of these arcs.
Based on this construction, m∠ABP is
°, and m∠ABC is
Based on this construction, the value of m∠ABC is 64°.
How to find the angle?From the point, E and D, two arcs are made which are intersecting each other at point P.
It means, that line BP is the bisector of angle ABC. ABC will be:
= 2 * 32=64
Therefore, based on this construction, the value of m∠ABC is 64°.
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What is the name of the expression under the radical symbol in a radical function?
An expression is defined as a set of numbers, variables, and mathematical operations. The name of the expression under the radical symbol in a radical function is called a radicand.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The radical is the symbol that is used to represent the root in the expression n√x. The name of the expression under the radical symbol in a radical function is called a radicand.
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find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
20 POINTS!!!
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Find the volume (to the nearest cubic foot) of a cone with base radius 4 ft. and height 8 ft.
Answer:
135 ft^3
Step-by-step explanation:
The volume of a cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]. The radius is 4 and the height is 8, so these values can be plugged in:
[tex]V = \frac{1}{3} \pi \times 4^{2} \times 8[/tex]
[tex]V = \frac{128\pi }{3}[/tex]
This is about 134.041286553 which rounds to 135 ft^3.
1) FILL IN THE SPACES:
a. 2.5 liters (L) = ______ml
b. 1320g = ________kg
c. 1.2g = _________mg
d. 1025mcg =_______mg
and. 2TBS=_______tsp
F. 1 TBS =_______ml
g. 2 fl oz =_______ml
h. 75kg =________pounds (lb)
PROBLEMS
1) Add the following: 30 mg, 2.5 kg and 7.0 g. Express the answer in g.
2) Express the amount of 1.243 g as:
mg ________
kg ________
mcg _______
3) How many grams of the active ingredient "aspirin" would be needed to make 500 aspirin tablets if each tablet must contain 325 mg?
3) Find an estimated product.
59 x 42 = ?
Oa.) 50 x 40 = 2500
Ob.) 60 x 50 = 3500
Oc.) 60 x 40 = 2400
Answer:
c.
Step-by-step explanation:
we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.
59 is much closer to 60 than to 50.
42 is much closer to 40 than to 50.
of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.
and the sum of the differences of the factors should be as close to 0 as possible.
so, 60×40 is the closest and therefore best estimation.
the sum of the factor differences is (+1 - 2) = -1.
compare to the real result :
59×42 = 2,478
answer a and b are by the way not correct :
50×40 = 2000 (and not 2500)
60×50 = 3000 (and not 3500)
FYI - in this case 50×50 = 2500 would be the closest estimation.
and the sum of the factor differences would be (-9 + 8) = -1.
normally, this wide "jumping" (-9 to +8) would make it only second choice.
3/x=2
How do you solve this without get a loop
Answer:
x= 3/2
Step-by-step explanation:
3/x=2
Multiply x both sides so,
3 =2x
Divide 2 to get the value of x so,
x= 3/2
4. The diameter of a circle is 10 in. What is the approximate circumference? Show your work to receive
full credit. **You must include the units of measurement to receive full credit.**
Show work :))
Answer:
31.4 in
Step-by-step explanation:
The circumference of of a circle given the diameter is πd :
C = π×d = 10π = 31.4159....
C ≈ 31.4
The units will still be in as this is a length not an area .
Hope this helped and brainliest please
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the highest possible number of inhabitants in that little town?
The highest possible number of inhabitants in that little town are 743.
What are inhabitant?A person or animal that lives in a place is called as the inhabitant.
Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.
Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.
There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.
Thus, the highest possible number of inhabitants in that little town are 743.
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1) Which is the first INCORRECT step in the
solution of the inequality shown below?
2(x+1)-(3-x) ≤ -4:
Step 1: 2x + 2-3+x≤-4;
Step 2: 3x - 1≤-4;
Step 3: 3x
-3;
Step 4: x>-1
(a) Step 1
(b) Step 2
(c) Step 3
(d) Step 4
Step-by-step explanation:
we are missing the inequality sign in step 3.
step 1 and step 2 are correct.
step 4 is wrong.
the correct step 3 looks like
3x <= -3
if your original step 3 says the same, then the first wrong step is step 4.
if your original step 3 does not say the same, then the first wrong step is step 3.
The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?
Answer:
-7/2 or 2 are inputs that give 19 as output.
Step-by-step explanation:
The problem gives us a quadratic function [tex]\displaystyle \large{f(x)=2x^2+3x+5}[/tex]. When its output is 19, we want to know the input value(s).
Since an output which is f(x) = 19. Therefore:
[tex]\displaystyle \large{19=2x^2+3x+5}[/tex]
Rearrange the expression in quadratic equation.
[tex]\displaystyle \large{0=2x^2+3x+5-19}\\\\\displaystyle \large{0=2x^2+3x-14}\\\\\displaystyle \large{2x^2+3x-14=0}[/tex]
Factor the expression.
[tex]\displaystyle \large{(2x+7)(x-2)=0}[/tex]
Solve like linear equation which we get:
[tex]\displaystyle \large{x=-\dfrac{7}{2}, 2}[/tex]
If you input these x-values in the function, you will get 19 as the output which satisfies the condition.
Hence, inputs are -7/2, 2
Answer:
[tex]x=2, \quad x=-\dfrac{7}{2}[/tex]
Step-by-step explanation:
Set the function to 19:
[tex]\implies 2x^2+3x+5=19[/tex]
Subtract 19 from both sides:
[tex]\implies 2x^2+3x-14=0[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]: 7 and -4
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 2x^2-4x+7x-14=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 2x(x-2)+7(x-2)=0[/tex]
Factor out the common term (x - 2):
[tex]\implies (2x+7)(x-2)=0[/tex]
Therefore the function's input values that when evaluated give a value of 19 are:
[tex](2x+7)=0 \implies x=-\dfrac{7}{2}[/tex]
[tex](x-2)=0 \implies x=2[/tex]