Answer:
64
Step-by-step explanation:
Substitute 6 in for x in the equation to get 8(6 + 2). You need to follow the order of operations and solve what is in the parentheses first. 6 + 2 is 8, so that leaves you with 8(8). 8 x 8 is 64. 64 = the answer.
The ratio of the present age of mother and daughter is 3:1. Six years ago the ratio of their age was 6 : 1. Find their present age.
Answer:
30 and 10
Step-by-step explanation:
Given ratio of age = 3 : 1 = 3x : x ( x is a multiplier )
Six years ago their age ratio was
3x - 6 : x - 6 = 6 : 1 ← express in fractional form
[tex]\frac{3x-6}{x-6}[/tex] = [tex]\frac{6}{1}[/tex] ( cross- multiply )
6(x - 6) =3 x - 6
6x - 36 = 3x - 6 ( subtract 3x from both sides )
3x - 36 = - 6 ( add 36 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Thus their present ages are
mother = 3x = 3 × 10 = 30
daughter = x = 10
Jane completes 5 math problems in 12 minutes. How many can she complete in one minute?
Answer:
2.4
Step-by-step explanation:
all you have to do is divide 12 by 5
CAN U EXPLAIN HOW TO SOLVE THIS?!
Answer:
C
Step-by-step explanation:
Use Δ ABC to find AB then Δ ABD to find DB
Δ ABC is isosceles since ∠ CAB = ∠ CBA = 45° , then CB = CA = 2
Using Pythagoras' identity in Δ ABC , then
AB² = 2² + 2² = 4 + 4 = 8 ( take square root of both sides )
AB = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]
----------------------------------------------------------------
Using the sine ratio in Δ ABD with the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{DB}[/tex] = [tex]\frac{2\sqrt{2} }{DB}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] × DB = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
DB = [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] ( multiply numerator/ denominator by [tex]\sqrt{3}[/tex] to rationalise denominator )
= [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{4\sqrt{6} }{3}[/tex] → C
For every 1 litre of water used to make a medicine, 150 ml of sucrose and 600ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Quantity of water used to make a medicine :-
[tex]= \texttt{1 \: litre }[/tex]
[tex] =\texttt{ 1×1000 \: ml}[/tex]
[tex] =\texttt{\color{hotpink} 1000 \: ml}[/tex]
This quantity of water required to make a medicine = 1000 ml
Quantity of sucrose used to make a medicine = 150 ml
Quanity of saline solution used to make a medicine = 600 ml
The quantity of water to sucrose to saline solution needed to make a medicine as a ratio :-
[tex] = \texttt{1000 : 150 : 600}[/tex]
Cutting each common zero in this ratio, we get :-
[tex] = \texttt{100 : 15 : 60}[/tex]
Dividing each number in the ratio by 5, we get the ratio :-
[tex] =\texttt{ \color{hotpink}20 : 3 : 12}[/tex]
Since, the three numbers in this ratio doesn't have any common factors we can conclude that we have found out the simplest form of the ingredients needed to make the medicine .
Therefore, the ratio of water to sucrose to saline solution needed to make a medicine = 20:3:12
helpppppppppp plz its no 8t^6
Answer:
u tried -8t^6???
Step-by-step explanation:
because -*+= -
Answer: -8t^6
Step-by-step explanation:
You just have to multiply the 2 and -4 which would give you -8. Then add the two exponents and you would get a 6.
Based on the results of the simulation, if Sally's name is represented by diamonds, what is the probability that Sally will win
the free homework pass?
A.52%
B. 24%
C. 8%
D.16%
Answer:
Step-by-step explanation:
If she's represented by diamonds, then that's 2/25 which is 8%, C
Answer:
Step-by-step explanation:
8%
Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweets shared(pleez answer im in a crisis)
Answer: 96
seth got 18 more than frank
in terms of ratio he got 3 more than frank
this means that 3 is equal to 18
so we find the whole ratio to fing the total
helpppp pllzzzz
I need help w this asap thankkkk in advance
PLS HELP WILL MARK BRAINLIEST
AABC has vertices A(1,3), B(2,5), and C(5,3). What are the coordinates of B' after
the translation by the vector <1,4>? (Give your answer as an ordered pair without spaces.)
Answer:
The coordinates of point B' are (3, 9)
Step-by-step explanation:
If the point (x, y) translated by a vector <a, b>, then its image is (x + a, y + b)
Let us use this rule to solve the question
In Δ ABC
∵ The coordinates of vertex A are (1, 3)
∵ The coordinates of vertex B are (2, 5)
∵ The coordinates of vertex C are (5, 3)
∵ Δ ABC is translated by the vector <1, 4>
→ By using the rule above add the x-coordinate of point B by 1
and the y-coordinate of point B by 4
∴ B' = (2 + 1, 5 + 4)
∴ B' = (3, 9)
∴ The coordinates of point B' are (3, 9)
Pleaseeee help :) and don’t answer unless you really know the answer please
Answer:
b) simplify the constant
c)isolate the variable by dividing the coefficient
Step-by-step explanation:
PLEASE HELPPPP 15 POINTS! A man's shoe size is approximately three times his foot length in inches, minus twenty-two. What would be the equation that could represent his shoe size, y, in terms of inches, x?
A. y=3x-22
B. y=22x-3
C. x=3y-22
D. 3x+22
Answer:
I am sorry
Step-by-step explanation:
I am new
Answer:
a
Step-by-step explanation:
im 100% sure
Help plz:))) I’ll mark u brainliest
ASAP!!!
- 5.2-(-3.1) + 5.2
I
Answer:
7.3 I think
Step-by-step explanation:
how do you find the angle of a slope
Answer:
Rise over Run, the slope in this graph would be 3/4
Step-by-step explanation:
You count the number of spaces it takes to move up, then you move right, towards the line. You write the rise number on top and the number moving right (run) on the bottom, (rise over run).
I hope this helps you, if not let me know in the comments :)
Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest
Sandra hikes 9/10 mile every 30 minutes,or 1/2 hour. How many miles does she hike each hour?
9514 1404 393
Answer:
1.8 miles
Step-by-step explanation:
In the first half hour, Sandra hikes 9/10 = 0.9 miles. She hikes that distance again in the second half-hour. After an hour, Sandra has hiked ...
2 × 0.9 miles = 1.8 miles
__
If you like, you can consider it a "unit rate" problem. To find miles per hour, divide miles by hours:
(9/10 mi)/(1/2 h) = (9/10)(2/1) mi/h = 9/5 mi/h = 1.8 mi/h
Sandra hikes 9/5 or 1.8 miles in an hour.
Help me please!!!!
Adrienne and Suki simplified the expression -(8) - (-6). Their work is shown
below. *
Adrienne's Work
Suki's Work
-8-(-6)= -14
-8-(-6)=-2
A. Whose answer is correct?
B. Explain the error the other person made.
Your answer
Answer:
im pretty sure it would be -8-(-6)=-2 for the first one
What is the volume of a square pyramid that is 60 m on each side of its base and has a height of 100 m round to the nearest 10th
Answer:
Volume of square pyramid=120,000 m³
Step-by-step explanation:
We are given: Base of square pyramid = 60 m
Height of square pyramid = 100 m
We need to find Volume of square pyramid.
The formula used is: [tex]Volume \ of \ square \ pyramid=\frac{1}{3}a^2h[/tex]
Where a is base and h is height of square pyramid
Putting values in formula and finding volume of square pyramid
[tex]Volume \ of \ square \ pyramid=\frac{1}{3}a^2h\\Volume \ of \ square \ pyramid=\frac{1}{3}(60)^2(100)\\Volume \ of \ square \ pyramid=\frac{1}{3}(3600)(100)\\Volume \ of \ square \ pyramid=120,000\ m ^3[/tex]
So, Volume of square pyramid=120,000 m³
7/3*+1/3=4+5/3x this is a test pls helppp
Answer:
I am sorry. To answer a test is against the Honor Code, I cannot help you.
Step-by-step explanation:
Remember PEMDAS :)
Answer:
2.125
Step-by-step explanation:
which ordered pair is a solution of the equation: 2y=7x-3
only 2,4
only 3,9
both 2,4 and 3,9
neither
Answer:
It is only 3,9.
Step-by-step explanation:
You need to substitute each pair into the equation to find if both side have the same answer, 3,9 is the correct answer because both sides are equal:
2(9) = 7(3)-3
18= 18
The answer is (3,9).
I hope this helps!
While the family went on vacation, Lisa boarded her cat at a kennel that charged $9.25 per day. If
Lisa boarded her cat for 1 week and 5 days, how much did it cost her to board her cat?
A $18.25
B $74.00
C$111.00
D Not Here
Answer:C
Step-by-step explanation: 7+5=12 12x9.25=111.00
Answer:
C
Step-by-step explanation:
1 week is seven days. 7 + 5 is 12. to get your answer you multiply the number of days by the cost. 12 x $9.25 is $111 dollars
Evaluate the algebraic expression for v= 1 and r = 7
6r - |-8+v|
Answer:
41
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
6r - | - 8 + v | ← substitute v = 1 and r = 7 into the expression
= 6(7) - | - 8 + 1 |
= 42 - | - 1 |
= 42 - 1
= 41
A dance team is going to spend $1,440 to purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of sweat- shirts or jackets the team can purchase?
Answer:
60 sweatshirt
Or
45 jackets
Step-by-step explanation:
Total amount = $1,440
Sweatshirts = $24
Jackets = $32
What is the greatest number of sweat- shirts or jackets the team can purchase?
The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt
= $1,440 / $24
= 60
The greatest number of jackets the team can purchase =Total amount / cost of jackets
= $1,440 / $32
= 45
Therefore, the greatest number of sweat- shirts or jackets the team can purchase is
60 sweatshirt
Or
45 jackets
Answer:
45 or 60
Step-by-step explanation:
Mr.Gartland writes the expression on the board
Answer:
what is the expression he wrote?
Step-by-step explanation:
Answer:the question
wh
Step-by-step explanation:
Jerry scored 581 points by collecting 7 coins. In all, how many coins does Jerry have to collect to score a total of 996 points? Solve using unit rates.
Answer:
12 coins
Step-by-step explanation:
Points scored by collecting 7 coins = 581
Number of coins required to collect 996 points
Let Number of coins = c
7 coins = 581 points
c coins = 996 points
Cross multiply :
581 * c = 996 * 7
581c = 6972
Divide both sides by 581
581c / 581 = 6972 / 581
c = 12
Hence, number of coins required to collect 996 points is 12
I have like two more I don't understand, I'm in 4th and on my sisters account and I was sick while learning this so I don't know how please help will mark brainliest
1 1/2 x 12
Key: Keep, change, flip.
So 1 1/2 you have to make it into a improper fraction.
1 1/2 to 3/2 x 12/1 = 3/2 x 1/12 = 1/2 x 1/4 = 1/8
Hope this answer helps :)
pls help 10 minutes left to submit everything is on the image below
Answer:
a. 5
b. 1
c. 132
d. -2
Step-by-step explanation:
a. The square root of 4 is 2, the absolute value of -3 is 3. 2 + 3 = 5
b. 4 - (-3) / -7 = 7/ -7 = 1
c. 2 * 4^3 = 128 + (-3) - (-7) = 132
d. 2 (-7 + 3) = -8, square root to the third power of -8 is -2
I hope this helped, please mark Brainliest, thank you!!
I need help please answer quick!
Answer:
3in. is the answer
doooo itttt fassstttt
mark it as brInlist
Jimmy and Lauren are
organizing transportation for
a field trip from ACIT. Jimmy
found out that his group has
841 students, and he needs 9
vans and 16 buses to
accommodate. While Lauren’s
group has 351 students, and
she needs 8 vans and 5 buses
for them. How many students
fit in a van and a bus for this
field trip? (please include steps)
Step-by-step explanation:
Jimmy's group : has 841 students
Lauren's group: has 351 students
9 vans 16 buses
8 vans 5 buses
Vans: V
Buses: B
9v + 16b = 841
9v + 16b = 841
-16b -16b
9v/ 9 = 841 /9 - 16b/9
8( 841/9 - 16b/9) +5b = 351
v - (841/ 9 - 16b / 9 )
8 (841 / 9 - 16b/9) +5b = 351
6728/9 - 128b / 9 +5b = 351
-128b/9 + 45b/9 = -83/9b
6728/9 -83/9
- 6728/9 +83/9 = 3159/9 - 6728/9
(9)83b / 9 = -3569 (9)/9
-83b = -3564
-83 -83
B = 43 students
8v + 5b = 351
8v + 5 (43) = 351
8v + 215 = 315
-215 -215
8v = 136
8 8
V = 17 students
43 students can fit on a bus and 17 students can fit in a van.
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
10-pound mixture that would sell for $80?
9514 1404 393
Answer:
6 # plastic bricks4 # wooden blocksStep-by-step explanation:
Let p represent the number of pounds of plastic bricks in the mix. Then the number of pounds of wooden blocks is (10-p), and the total cost is ...
10p +5(10-p) = 80
5p = 30 . . . . . . . . . subtract 50
p = 6 . . . . divide by 5; there are 6 pounds of plastic bricks in the mix
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used to make a 10-lb mix worth $80.