9514 1404 393
Answer:
3/8
Step-by-step explanation:
The distributive property tells you the outside factor multiplies each term inside parentheses.
a(b +c) = ab +ac
(-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)
= -12/56 +33/56 = 21/56 = 3/8
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(3,2)
Step-by-step explanation:
y = -2x + 8
y = x-1
Substitute x-1 for y in the equation y = -2x + 8. x-1 = -2x + 8
Use the Additive Property to move the
constant terms to one side of the equation. x-1 = -2x + 8
+1 +1
x = -2x + 9
Now do the same to the variable terms. +2x +2x
3x = 9
Divide both sides of the equation by the
constant in the variable term. ÷3 = ÷3
x = 3
To find y, simply substitute the value of x into
one of the original equations. y = x-1
y = 3-1
Solve: y = 2
The solution is (3, 2).
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
Please help me with the questions please ASAP ASAP please ASAP help
Answer:
A. x = 2, y = 12
Step-by-step explanation:
You can solve this problem using similar triangles; you know the triangles are similar because each of the two legs of the triangles are cut in half, meaning the line 5x - 3 is parallel to x + 12. Because of the nature of this figure (the line that is length 5x - 3 cuts the triangle exactly halfway), you can write an equation to find x:
2(5x - 3) = x + 12 (this is a property of triangles when a line is parallel to a base and intersects the triangle at half of that base's height. The line would be half the base)
10x - 6 = x + 12 (simplify)
9x - 6 = 12 (subtract x from both sides)
9x = 18 (add 6 to both sides)
x = 2 (divide both sides by 9)
At this point, you could just click A since that's the only problem where x = 2, but for the sake of properly explaining this problem, I'll continue to find y.
In the image, y + 8 is equal to 2y - 4, shown by the short lines intersecting each side signifying congruence. Now, you can write an equation for this and solve:
y + 8 = 2y - 4
8 = y - 4 (subtract y from both sides)
y - 4 = 8 (switch it around so y is on the left; you don't have to do this, but I think it makes the problem more comfortable to solve)
y = 12 (add 4 to both sides)
What is the area of a triangle with a base of 6mm and a height of 9mm
Given ON, what is mABC ?
Answer:
personally, I would say try using the formula you were taught because there are different ways people do things
Step-by-step explanation:
formula is key
A magician's assistant makes $10.60 an hour. If he has already saved $53.70, how many hours must he work to save at least $165?
Answer:
Step-by-step explanation:
[tex]10.6h+53.7\ge 165\\ \\ 10.6h\ge 111.3\\ \\ h\ge 10.5[/tex]
plz besties can you help me
[tex] {3}^{x + 1} \times 5 - 4 \times {3}^{x + 2} = - \frac {7}{3} [/tex]
I need the value of x
What number is represented in the expanded notation below?
90,000,000 + 500,000 + 2,000 + 80 + 4 + 0.1 + 0.09
Answer:
90,502,084.19
Step-by-step explanation:
Just add them together
Ahhhh I need help now!Will mark brainlest! Please help with the question below:
Find the number set which satisfies each of the problems. If 3 is added to the absolute value of the product of a number and -9, the result is 4.
Answer:
10
Step-by-step explanation:
Answer:
either 1/9 or -1/9, they both work
Step-by-step explanation:
the problem is |-9x| + 3 = 4
-9x = 1
x = -1/9
and since it is absolute value you use both the positive and the negative...
hope this helps
Could you guys please help me solve this basic math. PLS OMG ITS DUE :(
I need this for bonus points !
I WILL GIVE BRAINLIEST!!!
NO SENDING ME LINKS!!!
Answer:
N(t)=52(9/7)^t
Step-by-step explanation:
hope it's helpful..
have a great day
What kind of triangle is 8,14 and 12 and 25,16,20
A.not a triangle
B.right
C.acute
D. Obtuse
asapppppppppppppppppp
Answer: A not a triangle
Step-by-step explanation:
The bearing of a plane from an airport is 65 degress.Calculate the bearing of the airport from the plane
Answer:180+65=245, your answer is 245 degrees.
Step-by-step explanation:
Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him to cover this distance if he drives at an average speed of 65km/h? Give your answer rounded to the nearest minute.
Answer:
7.385 minutes
Step-by-step explanation:
Given that :
Average speed = 65km/hr
The distance covered = 8km
The time taken Given the information above :
Recall:
Speed = distance / time
Time taken = distance / speed
Time taken = 8km / 65km/hr
Time taken = 0.1230769 hr
Time taken = 0.1230769 * 60 = 7.385 minutes
The time taken to cover this distance is 7.3848 minutes
What is speed?Speed is the change of an object's distance within a specified period of time.
Mathematically, speed can be calculated by using the relation:
Speed = distance/timeFrom the given information:
The average speed = 65 km/hThe distance = 8 kmFrom the above formula, we can make the time the subject of the formula:
Speed = distance/timeBy cross multiplying
Time = distance/speedTime = 8 km / 65 km/hTime = 0.12308 hourWe all know that:
60 seconds = 1 minute60 minutes = 1 hourThus, time(t) = (0.12308 × 60) minutes
Time(t) = 7.3848 minutes
Learn more about speed here:
https://brainly.com/question/4931057
State whether the sequence is Arithmetic, Geometric, or Neither: 40, 43, 46, 49, ......
Answer:
t2-t1 =43-40
Step-by-step explanation:
you subtract the second term by the first term to get the common difference
Find the area of the figure and type your result in the empty box.
3 m
2 m
4 m
Answer:
14m^2
Step-by-step explanation:
area of triangle = 1/2bh
= 1/2(3)(4) = 6
area of rectangle = bw
=(4)(2) = 8
6+8 = 14
Answer:
14m²
Step-by-step explanation:
rectangle area= 4*2=8
triangle area= 1/2*3*4=6
total area=14
Algebraically, determine the exact value of x for the
equation 85(2)0.4x = 6000.
Answer: 14,575
Step-by-step explanation:
85(2) 0.4x = 6000 Multiply 85 times 2
170 + 0.4x = 6000 Subtract 170 from both sides
0.4x = 5830 Divide 5830 by 0.4
x = 14,575
WILL GIVE BRAINLIEST!
Find x given y = 18° in the figure below.
x =
The two angles are vertical angles so they are congruent.
3x+18=5x
2x=18
x=9
I need help on this quick check
Answer:
20% more
Step-by-step explanation:
30%-10% = 20%
1. What is the solution of the system
{3x - y = 14
{4x + y = 21 ?
A (−5, 3)
B (4, −2)
C (5, 1)
Answer:
C
Step-by-step explanation:
3x-y=14
4x+y=21
add
7x=35
x=35/7=5
4×5+y=21
y=21-20=1
so (5,1 ) is the solution.
According to the bar graph, which teacher gave 16 minutes of homework on Wednesday?
7. An example for using estimation would be:
O O O O
A) counting back change
B) depositing money in the bank
C) guessing the number of pennies in a jar
D) counting the number of dollar bills in your wallet.
Write and expression for the phrase, "8 less than k".
PLEASE PLEASE PLEASE PLEASE HELP HELP HELP ME ME ME ME ME!!
Answer: k - 8
Step-by-step explanation:
how do you solve fire x.
Answer:
x = 10
Step-by-step explanation:
Sum of all the angle of triangle = 180
71 + 50 + 6x - 1 = 180
71 + 50 -1 + 6x = 180
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 60/6
x = 10
Please help me I've been stuck on this one question and I can't find the answer to it.
For four Fridays in June, Grace earned $21.50, $29.75, $32.00, and $15.25 from babysitting.
In July, she earned $8 more for babysitting four Fridays than she did in June.
What is the increase in the mean for July compared to June?
Round the answer to the nearest penny.
Answer:
$2
Step-by-step explanation:
Its actually quite simple.
first find the mean for june.
add $21.50 + $29.75 + $32.00 + $15.25
that is equal to 98.5
then divide by 4.
that is 24.625
do not round to the nearest penny yet.
now you need to find the mean for july.
just add $8 to the total amount you made in june to find the total amount you made in july.
that is 106.5
then divide that by four because you worked four fridays in july as well.
that is 26.625.
finally you need to find the difference between 26.625 and 24.625.
26.625-24.625= 2
and ta-da!!!
the answer us $2.
your welcome. tell me if it is correct.
PLEASE HELP I NEED THIS ASAP
solve the following equation for the value n. SHOW YOUR WORK!!!
Answer:
n=2
Step-by-step explanation:
16+6n=7(6-n)
16+6n=42-7n
-16 +7n -16 +7n
13n=26
13n/13=26/13
n=2
X/-2 - 4 < 2
what is x?
Answer:
x>-12
Step-by-step explanation:
x/-2-4<2
x/-2<2+4
x/-2<6
x<6(-2)
x<-12
x>-12
A student is working a part time job delivering pizzas The student earns $40 a shift and earns $1.25 per pizza delivered. One shift, the student earned $58.75. How many pizzas did they deliver that shift?
Answer:
14
hope this helped
Answer:
i believe the student delivered 40 pizzas but i could be very wrong
Step-by-step explanation:
Written in slope-intercept form, the equation Ax + By = C become
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
Ax + By = C ( subtract Ax from both sides )
By = C - Ax ( divide all terms by B )
y = [tex]\frac{C}{B}[/tex] - [tex]\frac{A}{B}[/tex] x , that is
y = - [tex]\frac{A}{B}[/tex] x + [tex]\frac{C}{B}[/tex] → C