Answer:
Step-by-step explanation:
So we know that there are 213 oranges and Theresa fills each bag with 3 oranges, so we can represent each bag as 3x. She keeps filling until she reaches 51 oranges.
First. let's write this as an equation, She is starting with 213 oranges and filling x bags with 3 oranges to the point she has less than 51 oranges.
213 - 3x < 51
Now add 3x to both sides,
213 - 3x + 3x < 51 + 3x
213 < 51 + 3x
Now we subtract 51 from both sides,
213 - 51 < 51 - 51 + 3x
162 < 3x
Now we divide both sides by 3,
162/3 < 3x/3
We find the answer,
54 < x
x > 54 bags
There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)
Answer: Please Give Brainliest. Thank You!
10 more
The number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.
Let the number of seventh-graders to be added be x.
So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x
Thus, the percentage of seventh graders in the club is thus
[tex]\frac{20 + x}{65 + x} X 100[/tex] %
Since this percentage equals 40 %, we have that
[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %
[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]
Cross-multiplying we have
[tex]20 + x = 0.4(65 + x)[/tex]
Expanding the bracket, we have
[tex]20 + x = 26 + 0.4x[/tex]
Subtracting 20 from both sides we have
[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]
Subtracting 0.4x from both sides, we have
[tex]x - 0.4x = 6\\0.6x = 6[/tex]
dividing both sides by 0.6, we have
x = 6/0.6
x = 10
So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Learn more about percentages here:
https://brainly.com/question/23127071
if tolu collects a loan of #250,000 from a bank at the rate of 11 whole number 1 over 2% interest how much will she pay as interest at the end of the year
Answer:
# 28750
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 250000 * 11.5/100 = 28750
Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4
Answer:
Step-by-step explanation:
[tex]9^{-4}[/tex]
=[tex]\frac{1}{9^{4} }[/tex] ∴ [tex]x^{-n} = \frac{1}{x^{n} }[/tex]
=[tex]\frac{1}{9*9*9*9}[/tex]
=[tex]\frac{1}{6561}[/tex]
PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A AND B
Answer:
a) [tex]a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}[/tex]
b) (i) [tex]a+2c=\begin{pmatrix}-4\\2\end{pmatrix}[/tex]
(ii) [tex]k=2[/tex]
Step-by-step explanation:
It is given that,
[tex]a=\begin{pmatrix}4\\-10\end{pmatrix},b=\begin{pmatrix}-2\\1\end{pmatrix},c=\begin{pmatrix}-4\\6\end{pmatrix}[/tex]
a)
We need to find the value of a+b+c.
[tex]a+b+c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-2\\1\end{pmatrix}+\begin{pmatrix}-4\\6\end{pmatrix}[/tex]
[tex]a+b+c=\begin{pmatrix}4+(-2)+(-4)\\-10+1+6\end{pmatrix}[/tex]
[tex]a+b+c=\begin{pmatrix}-2\\-3\end{pmatrix}[/tex]
b)
(i) We need to find the value of a+2c.
[tex]a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+2\begin{pmatrix}-4\\6\end{pmatrix}[/tex]
[tex]a+2c=\begin{pmatrix}4\\-10\end{pmatrix}+\begin{pmatrix}-8\\12\end{pmatrix}[/tex]
[tex]a+2c=\begin{pmatrix}4+(-8)\\-10+12\end{pmatrix}[/tex]
[tex]a+2c=\begin{pmatrix}-4\\2\end{pmatrix}[/tex]
(ii) It is given that a+2c=kb, where k is an integer. We need to find the value of k.
[tex]a+2c=k\begin{pmatrix}-2\\1\end{pmatrix}[/tex]
[tex]\begin{pmatrix}-4\\2\end{pmatrix}=\begin{pmatrix}-2k\\k\end{pmatrix}[/tex]
On comparing both sides, we get
[tex]k=2[/tex]
Please answer question now
Answer:
3
Step-by-step explanation:
2 tangents of a circle drawn from an external point are said to be congruent, according to the two-tangents theorem. Thus:
MN = ML (both tangents from external point M)
ML = 6 - KL
KL = KJ (tangents from point K)
PQ = QJ = 1 (tangents from point Q)
Therefore, KJ = 4 - 1 = 3
Since kJ = KL = 3,
ML = 6 - KL = 6 - 3
ML = MN = 3
What is the value of 4² - 2(3·5+1)? plz help, will mark brainliest A. 8 B. 1 C. -16 D. -21
Answer:
Hey there!
4^2-2(3(5)+1)
16-2(15+1)
16-2(16)
-16
C is correct.
Let me know if this helps :)
Answer:
[tex] \boxed{ \mathsf{ \boxed{ \purple{ \bold{{ - 16}}}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{ {4}^{2} - 2(3 \times 5 + 1)}[/tex]
Evaluate the power
⇒[tex] \mathsf{16 - 2(3 \times 5 + 1)}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 2(15 + 1)}[/tex]
Calculate the sum
⇒[tex] \mathsf{16 - 2 \times 16}[/tex]
Multiply the numbers
⇒[tex] \mathsf{16 - 32}[/tex]
Calculate
⇒[tex] \mathsf{ - 16}[/tex]
Hope I helped!
Best regards!
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
it is 4km from Martina house to the nearest mailbox. how far is it in meters?
Answer:
4,000
Step-by-step explanation:
1 kilo = 1,000 meters.
PLEASE help me with this question. This is really URGENT
Changing the exponent by 1/2 ( going from x to 1/2x)
This does not change the y-intercept.
It does sharpen the curve, which means the y value does not increase as quickly when x is increased.
THe 3rd choice is correct.
Proof: make x=2
Y = 3^2 = 9
Y = 3^1/2(2) = 3^1 = 3
You can see y is smaller with the 1/2 included.
Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height doubled. If Keith is now 34cm taller than his nephew, what is their total current height?
Answer:
314 cm
Step-by-step explanation:
If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:
1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)
17.4x = 34 + 14x
3.4x = 34
x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.
Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 720° 1,080°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon = 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°. Then the correct option is A.
What is a regular hexagon?The complete polygonal shape of a regular hexagon has six rotational symmetry and six equal angles. Any periodic polygon has symmetrical sides and angles on all vertices.
The external angle of the regular hexagon will be given as,
External angle = 360° / 6
External angle = 60°
Then the sum of the measures of the exterior angles of a convex hexagon will be
⇒ 60° x 6
⇒ 360°
The sum of the measures of the exterior angles of a convex hexagon will be 360°.
Then the correct option is A.
More about the regular hexagon link is given below.
https://brainly.com/question/1694257
#SPJ2
Answer ASAP, Will give brainliest.
Answer:
[tex]\huge\boxed{10.4\ units\²}[/tex]
Step-by-step explanation:
Area of circle:
=> [tex]\pi r^2[/tex]
Where r = 2.8
=> [tex](3.14)(2.8)^2[/tex]
=> (3.14)(7.84)
=> 24.6 units²
Area of Triangle:
=> 1/2 (Base)(Height)
=> 1/2 (10)(7)
=> 5 * 7
=> 35 units²
Area of the shaded region:
=> 35 - 24.6
=> 10.4 units²
find whether the following mathematical sentence are constant or variable . 'm' represent the whole numbers between 5 and 7
Answer:
Constant
Step-by-step explanation:
Whole numbers are numbers like 1,2,3 and 4.
1.1,2.3 and Pi arent't whole numbers. Fractions like 3/4 and 5/3 aren't whole numbers.
The whole numbers starting from 5 to 7 are:
● 5, 6 and 7
You can see that we have only one whole number between 5 and 7 wich is 6.
So m has only one value (m=6).
=> m is a constant
An arc of length 12:57 cm
angle of 60° at the cen me
find the radius or the circle.
subrends an.
or a cordle.
Answer:
r ≈ 12 cm
Step-by-step explanation:
arc length = circumference × fraction of circle, that is
2πr ×[tex]\frac{60}{360}[/tex] = 12.57 ( multiply both sides by 360 to clear the fraction )
2πr × 60 = 4525.2
120πr = 4525.2 ( divide both sides by 120π )
r = [tex]\frac{4525.2}{120\pi }[/tex] ≈ 12 cm
Do the ratios 9/4 and 18/8 form a proportion?
Yes
Step-by-step explanation:
I believe so. Hope this helps
Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. fff represents the temperature in degrees Fahrenheit as a function of the temperature ccc in degrees Celsius. f=32+1.8cf=32+1.8cf, equals, 32, plus, 1, point, 8, c Water freezes at 000 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?
Answer:
Water freezes at 32 °F.
help me with this question
Answer:
x=5
y=2
w= -5
Step-by-step explanation:
We have that the two matrix are equal, so all corresponding elements are equal.
X-Y=3
From the second row and second column, we have y=2
so x-2=3
x=5
From the third row and the first column, we have w= - 5
The average age of cars owned by residents of a small city is 6 years with a standard deviation of 2.2 years. A simple random sample of 400 cars is to be selected, and the sample mean age of these cars is to be computed. We know the random variable has approximately a normal distribution because of
Answer:
The random variable [tex]\bar x[/tex] has approximately a normal distribution because of the central limit theorem.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n ≥ 30) are selected from the population with replacement, then the sampling distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
Let the random variable X be defined as the age of cars owned by residents of a small city.
It is provided that:
μ = 6 years
σ = 2.2 years
n = 400
As the sample selected is too large, i.e. n = 400 > 30, according to the central limit theorem the sampling distribution of the sample mean ([tex]\bar x[/tex]) will be approximately normally distributed.
[tex] \frac{5 + n}{4} = - 1[/tex]
What is n?
Answer:
n= -9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
5 + n
==== = -1
4
Multiply both sides by 4
5 + n = - 1 * 4
5 + n = - 4
Subtract 5 from both sides
5-5 + n = - 4 - 5
n = - 9
Congratulations on being able to use latex.
52°
Х
X
tycoom whoever helps with thos
Answer:
142
Step-by-step explanation:
The exterior angle of a triangle is equal to sum of the opposite interior angles
x = 52+90
x = 142
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 52 \degree \: + \: 90 \degree }}} \\ [/tex]
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 142 \degree }}} \\ [/tex]
PLS ANSWER BRAINLIST AND A THANK YOU WILL BE GIVEN!!!!
Answer:
[tex]\huge\boxed{Option \ D}[/tex]
Step-by-step explanation:
4x + 5x = 180 [They are angles on a "straight" line so they will add up to 180 degrees)
Answer:
D
Step-by-step explanation:
The sum of angles that are formed on a straight line is 180.
4x + 5x = 180
Solve the system of equations algebraically. 5x-3y=6 and 6x-4y=2 a. many solutions c. no solution b. (8,14) d. (9,13)
Answer:
d. (9, 13)
Step-by-step explanation:
5x-3y=6 /*6
6x-4y=2 /*(-5)
30x - 18y = 36
-30x +20y = - 10
2y = 26
y = 13
5x-3y=6
5x - 3*13 = 6
5x - 39 = 6
5x = 45
x = 9
(9, 13)
If the equation of a line is y = -2/3x + 1/3, what is the slope and y-intercept?
Step-by-step explanation:
Hey, there!!!
Let me explain you very simply,
The equation is;
y= -2/3 x +1/3
Now, we know the equation of a st.line in slope intercept form is,
y= m.x + c
now, comparing the given equation with y= m.x + c. we get,
m= -2/3
and y-intercept = 1/3.
Hope it helps...
Which two complex numbers when subtracted from each other equal another complex number from the table? A -3 − 4i B -7 − 6i C 13 + i D -9 + 6i E 8 − 8i F -15 + 9i G 2 + 12i H 6 − 10i
Answer:
if you have a ti-84 plus, input ur problem into the calculator
Step-by-step explanation: you may use calculator for answers
Answer:
The difference of A and D equals the complex number in row H in the table (6 − 10i):
A − D
=
-3 − 4i − (-9 + 6i)
=
-3 − 4i + 9 − 6i
=
-3 + 9 − 4i − 6i
=
(-3 + 9) + (-4 − 6)i
= 6 − 10i
Step-by-step explanation:
How many solutions does the system have?
⎪
⎪
⎨
⎪
⎪
⎧
x+y=3
5x+5y=15
how do you work out 28.4 x 1.92
Answer:
54.528
Step-by-step explanation:
A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, with replacement, from the basket?
Answer:
144/441
Step-by-step explanation:
There are 18+24=42 total socks
There are 24 black socks
So the probability is (24/42)*(24/42)=12/21 * 12/21 = 144/441
Answer:
189
Step-by-step explanation:
who is going to win the race?
Answer:
The correct answer is
Step-by-step explanation:
Red team is going to win the race as they have covered more area than other teams. I am a 100% sure of this answer.Hope this helps....Have a nice day!!!!Answer:
Red Team
Step-by-step explanation:
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
Question 5 of 10
Which type of unemployment is characterized by a worker looking for a job
when there is no reason that he or she should not find one?
A. Structural unemployment
B. Seasonal unemployment
C. Frictional unemployment
D. Periodic unemployment