Answer:
The answer is -2r + 8.
Step-by-step explanation:
1) Simplify 1/5(5r + 10) to 5r + 10/ 5.
[tex] \frac{5r + 10}{5} - 3(r - 2)[/tex]
2) Factor out the common term 5.
[tex] \frac{5(r + 2)}{5} - 3(r - 2)[/tex]
3) Cancle 5.
[tex]r + 2 - 3(r - 2)[/tex]
4) Expand by distributing terms.
[tex]r + 2 - (3r - 6)[/tex]
5) Remove parentheses.
[tex]r + 2 - 3r + 6[/tex]
6) Collect like terms.
[tex](r - 3r) + (2 + 6)[/tex]
7) Simplify.
[tex] - 2r + 8[/tex]
Thus, the answer for this equation is -2r + 8.
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
Yolanda needs $300 to buy a TV for her room. She has already
saved $50. She earns $ 10 an hour at her job. Set up and solve an
equation to find how many hours she needs to work to buy the TV.
(Use X +
to set up the equation.)
Answer:
she will have to work 25 hours
Step-by-step explanation:
$10 per 1 hour she has $50
$300-$50=$250
10 x 25 =250
If AC = x + 6, and AB = 15 solve for x.
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
(APR) of 4%, compounded annually, and he must leave it in the account for at least 5
years.
Answer:
$3283.2
Step-by-step explanation:
Given data
Principal= $2700
Rate= 4%
Time= 5 years
Required
the final Amount A
The compound interest formula is
A=P(1+r)^t
Substitute
A=2700(1+0.04)^5
A=2700(1.04)^5
A=2700*1.216
A=$3283.2
Hence the balance in the account after 5 years is $3283.2
What is the value of x?
Answer:
Option A = 6
Step-by-step explanation:
3x- 5 = x+ 7 ( as diagonals r equal in a recangle)
3x-x = 7+ 5
2x = 12
x = 12/ 2 = 6
I hope im Right !!
What is 0.574 rounded to the nearest hundredth? NEED BY 2 PM! EST
Answer:
0.57
Step-by-step explanation:
The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.
Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3
Answer:
D.
Step-by-step explanation:
Simplify.
(-216) ^-1/4
Answer:14 or 0.25
Step-by-step explanation:
It’s basically already written there but decimal form is 0.25
A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width
Answer:
The length is 117 ft and the width is 13 ft.
Step-by-step explanation:
From the question itself, we can write down the following equations...
(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)
L = 9W
and
P = 2L + 2W
Now, we substatute the "L" value and get...
P = 2L + 2W
260 = 2(9W) + 2W
260 = 20W
W = 260 / 20
W = 13
Since we know the width we can now find the length by using the very first formula...
L = 9W
L = 9(13)
L = 117
Therefore, the length is 117 ft and the width is 13 ft.
add the complex numbers: (4 + 8j) + (-2 - j)
Answer:
7j+2 or 2+7j
Step-by-step explanation:
(4+8j)+(−2−j)
Subtract 2 from 4 to get 2.
2+8j−j
Combine 8j and −j to get 7j.
2+7j
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X= the sale price (in thousands of dollars) for the selected car. Find P(X>25), left parenthesis, X, is greater than, 25, right parenthesis. You may round your answer to two decimal places.
Answer:
P(X > 25) = 0.69
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.
This means that [tex]\mu = 26, \sigma = 2[/tex]
Find P(X>25)
This is 1 subtracted by the pvalue of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 26}{2}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a pvalue of 0.31
1 - 0.31 = 0.69.
So
P(X > 25) = 0.69
Answer:
Step-by-step explanation:
Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.
Answer:
2b + 3 = 15
b = 6
Step-by-step explanation:
Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares need to be colored
Given:
Some boxes are fully colored.
Each fully colored ten block represents 1 whole.
The number of colored boxes will be divided into 11 equal part.
To find:
The number of squares need to be colored on each of the 10 blocks.
Step-by-step explanation:
From the given figure, it is clear that,
Number of colored box = 55
The number of colored box will be divided into 11.
[tex]\dfrac{55}{11}=5[/tex]
Therefore, 5 squares need to be colored on each of the 10 blocks.
9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.
Answer:
How tightly packed an object's particles are.
When solving the system of equations 3x−3y=1 and −2x+4y=2 algebraically, a good first step is to:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
B. Multiply 3x−3y=1 by 3, and multiply −2x+4y=2 by −2.
C. Rewrite both equations in slope-intercept form.
D. Add the equations together.
Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Complete the sentence
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
[tex]\angle b=62^{\circ}[/tex]
In the figure, [tex]\angle d\ \text{and}\ 62^{\circ}[/tex] are alternate angle
[tex]\therefore \angle d=62^{\circ}[/tex]
Please help me I wanna get out this class
i do not understand this please help me
Answer: Plane AEF
Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)
A + B - _____ = B
PLEASE HELP
Answer:
A
Step-by-step explanation:
Because if you subtract A from A it gets rid of A leaving only B left.
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
What value of x makes the equation below true? 6x − 7 = 26
A.5
B.5.5
C.6
D.6.5
Answer:
B
Step-by-step explanation:
6x-7=26
6x=33
x=5.5
Answer:
B
Step-by-step explanation:
I need more letters ssssjsjsks
we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10
Answer:
try symbolab calculator it will give you a step by step explanation
Answer:
x= -2
y= 12
Step-by-step explanation:
5x + y = 2..................eqn 1
x + y = 10 ..................eqn 2
from eqn 1
5x + y = 2, u substitute by making 'y' the subject
y = 2 - 5x .................eqn 3
put eqn 3 into eqn 2
x + y = 10
x + 2 - 5x = 10
x - 5x = 10 - 2
-4x = 8
x = 8 / -4
x = -2
put x = -2 into eqn 1
5x + y = 2
5(-2) + y = 2
-10 + y = 2
y = 2 + 10
y = 12
7.4 as a mixed fraction
7.4 in fix fraction will look like this:
[tex]7 \frac{2}{5} [/tex]
If 3n + 7 = 25, then find the value of the expression 8n - 3]
In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.
Answer:
n=6,
SAS,
63
Step-by-step explanation:
3n+7=25
3n=25-7
3n=18
n=18/3
n=6
_______________________________
ΔDEF is congruent to ΔXYZ
DE=XY(side)
<E=<Y (angle)
EF=YZ (side)
by SAS congruence criteria ΔDEF=ΔXYZ
_________________________
(Linear pair)
180°-117°
=63
Answer=63
9x + 18 - 5x = 2 + 4x
Answer:
There are no solutions
Step-by-step explanation:
9x+18−5x=2+4x
Step 1: Simplify both sides of the equation.
9x+18−5x=2+4x
9x+18+−5x=2+4x
(9x+−5x)+(18)=4x+2(Combine Like Terms)
4x+18=4x+2
4x+18=4x+2
Step 2: Subtract 4x from both sides.
4x+18−4x=4x+2−4x
18=2
Step 3: Subtract 18 from both sides.
18−18=2−18
0=−16
Answer:
There aren't any values of x that would make the equation true.
NO SOLUTION
Hope this helped <3
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
a cuántos gramos equivale y 250 gramos
Answer:
Me puedes dar más información?...Pliss
Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.
Step-by-step explanation:
117
x
x + 3
Find the value of x.
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
Use rounding to estimate the product of 1249 and 1194. Round both numbers to the nearest hundred to find your answer.
Answer:
1,440,000
Step-by-step explanation:
1249 is rounded to 1200 because 49 is less than half of 100.
1194 is rounded to 1200 because 94 is more than half of 100.
1200 x 1200 = 1,440,000
nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número