Answer:
No, because 3(2) + 2 ≠ 12.
Step-by-step explanation:
An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,
Number of goals scored by Carrie = x
Number of goals scored by Kenny = 3x
Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,
Total score = Number of goals scored by Carrie +Number of goals scored by Kenny
12 = x + 3x
12 = 4x
x = 3
Further, the number of goals for the two can be written as,
Number of goals scored by Carrie = x = 3
Number of goals scored by Kenny = 3x = 3×3 = 9
Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.
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Help please fast please
Answer:
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Step-by-step explanation:
89835000000*10^-7 = 8983.5
8.9835*10^5= 898350
8983.5 < 898350
Answer:
<
Step-by-step explanation:
Simplify each of the numbers
89835000000 x 10^-7 = 8983.5
8.9835 x 10^5 = 89835
89835000000 x 10^-7 < 8.9835 x 10^5
evaluate (m/n)(x) for x=-3
Answer:
(-3m)/n
Step-by-step explanation:
(m/n)(x)
For x = -3,
(m/n)(-3) =
-3(m/n) =
(-3m)/n
Our answer is fully simplified
Answer:
your answer is 1
Step-by-step explanation:
answer on edgen uity
Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.
a. What percentage of gold is 21 carat?
b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
The accompanying stem-and-leaf plot represents Kiko's test scores this year. What is the median score for this set of data?
Answer: 80
Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80
John received 3 detentions in the fourth quarter. He received 4 other
detentions for 1st and 2nd quarters combined. He received 12 for the
whole school year so how many detentions did he receive in the 3rd
quarter?
Answer:
5
Step-by-step explanation:
12 - (3+4)
12 - 7
12 - 7 = 5
5
Answer:
5
Step-by-step explanation:
12 - (3 + 4)
12 - 7
12 - 7 = 5
Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:
Answer:
Look at the underlined numbers
So we have 16 = 16*1
then 64 = 16*4
the difference would be 3
then 144 = 16*9
the difference would be 5
256 = 16*16
the difference would be 7
400 = 16*25
the difference would be 9
so the next one would be 11+25=
3, 5, 7, 9, 11
ANSWER: 16*(11+25) = 36*16 = 576
Step-by-step explanation:
I explained before this
Find the coordinate of point X inside segment BE that is 3/4 the
distance from B to E.
Answer:
i really dont know
Step-by-step explanation:
this is confusing
A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?
Answer:
39.59
Step-by-step explanation:
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answer:
0.5m+2.50=c
Step-by-step explanation:
Just trust me brah
Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.
Answer:
2.5 kilograms
Step-by-step explanation:
10 rings times each weight ring(250)=2500
2500 grams to kilograms is 2.5
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!
1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2
if i were to save 10 dollars each 2 weeks how much will i have in 2 months
Answer:
I think the answer is 40.5
Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.
Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
Yep another question... what my teacher never teach me this
Answer:
its b.
Step-by-step explanation:
Which expression is equivalent to 121 - x^2
Answer:
(11-x)x(11+x)
Step-by-step explanation:
Help me ASAP please, I really want to finish this
Answer:
C. 1.5 ft
Step-by-step explanation:
Using the Pythagorean theorem:
[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]
Hope this helps!
I agree with the answer above it's 1.5 ft which is C.
:D
What is the value of x?
Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer:
x=30
Step-by-step explanation:
In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?
a. m = -4, b = -10
b. m = -4, b = 10
c. m = 10, b = -4
d. m = 10, b = 4
Answer:
Its B
Step-by-step explanation:
the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4
-3x^2+6x+9=
WHY JUST WHY !!!! ?
Oh, my, goodness!!!!!! :)
You are cracking me up so much right now!!!!! :)
But, yeah, I hear ya! :)
Answer:
[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]
Step-by-step explanation:
[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]
[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]
A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for T. Round your answer to the nearest tenth of a revolution. (Hint: Be sure to use the same unit of
measurement.)
none of these
260.9 revolutions
8.8 revolutions
1261.3 revolutions
Answer:
1261.3 rev
Step-by-step explanation:
Circumference of tire: 3.14(4/3)
4.187 ft.
5280/4.187
1261.3
Sean drinks 350mL of milk every day. How many liters of milk does he drink in a week?
Answer:
2.45 L in a week
Step-by-step explanation:
First find out how many ml he drinks in a week
350 mL * 7 days
2450 mL in a week
We know that 1000 mL = 1 L
2450 mL * 1 L /1000 mL = 2.45 L in a week
Answer:
2.450 litres.
Step-by-step explanation:
The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml
Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
A) (5x-3)(x+1)
B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]
C) it gets up really high
D) Plug values in of x to get y and plot!
Please help will mark brainliest
Answer:
Klm=(k+1)m -(m+1)k
Klm=km+m -mk-k
Klm=m-k
What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1
Answer: (6, -3)
(x^2-4x+4)/16-(y^2+6y+9)/25 = 1
x = 6
y = -3
6^2 = 36
4 * 6 = 24
36 - 24 = 12
12 + 4 = 16
16/16 = 1
-3^2 = 9
6 * -3 = -18
9 - 18 = -9
-9 + 9 = 0
0/25 = 0
1 - 0 = 1
I really hope this helped, at least a little bit.
The coordinates of the center of the hyperbola is (6,-3).
What is hyperbola?
Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".
According to the question,
[tex]\frac{(x-2)^2}{4^2}[/tex] - [tex]\frac{(y+3)^2}{5^2}[/tex] = 1
Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex] - [tex]\frac{(y-h)^2}{b^2}[/tex] = 1.
The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.
From above discussion we get clearly the coordinate of hyperbola is
(6-3).
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work out the surface area of the shapes in the attached file
Answer:
Find the area of every shape
12 x 9 = 108. Don't divide because there is two
12 x 14 = 168
14 x 9 = 126
15 x 14 = 210
108 + 168 + 126 + 210 = 612
____________________
2 x pi x radius x height + 2 x radius x radius x height
466.5
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the Pythagorean theorem. He should have used 13 instead of 13i. (13i)2 = 169, not –169.
Answer: He should have used 13 instead of 13i
Step-by-step explanation:
Answer:
He should have used 13 instead of 13i
Step-by-step explanation:
Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a
Answer:
a = 20 because the rate of change is -3
Step-by-step explanation:
In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.
The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...
a = 20 because the rate of change is -3
Where was her mistake if she made any?
The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.
A. Length = 10 yards; width = 4 yards
B. Length = 11 yards; width = 5 yards
C. Length = 15 yards; width = 9 yards
D. Length = 9 yards; width = 3 yards
Answer:
C. Length = 15 yards; width = 9 yards
Step-by-step explanation:
When you multiply the length and width by two and add them together, this answer is the only one that results in 48.