ABCD TSVU find the value of Y
Answer:
The value of y = 7.5 and the scale factor is 2/3.
Step-by-step explanation:
To get the scale factor, let's get the ratio of 17 to 25
[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]
To check if 17 really is the 2/3 of 25.5
[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]
Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).
[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]
Greg rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 71 cents for each mile driven. Greg had to pay $144.53
when he returned the truck. For how many miles did he drive the truck?
Angela is repainting her kitchen. she estimates that she paints 35 feet every 1/3 hour. how many feet does she paint in 1 hour?
Answer: 105 feet(make sure to put feet)
Step-by-step explanation:if it only took her 1/3 of an hour to get 35 feet done so 35 x 3=105
Please help,
7p + 2 = 5(p-4)
Answer:
-11
Step-by-step explanation:
7p +2=5p-20
7p-5p= -2-20
2p= -22
p=-11
(2x-14) = (3x-6) how do I solve this
Step-by-step explanation:
there you go that is how you solve
Answer:
x=-8
Step-by-step explanation:
Given: 2x-14=3x-6
+14 +14
-----------
2x=3x+8
-3x -3x
--------------
-1x=8
--- ---
-1 -1
-------------
x= -8
Hope this makes sense
Eli started saving money in his empty piggy bank. He inserted $1 on every Monday, $2 on every Tuesday, $3 on every Wednesday, $4 on every Thursday, $5 on every Friday, $6 on every Saturday, and $7 on every Sunday. At the end of 24 days, he opened his bank and found he had $93. On which day of the week did he start inserting money into his piggy bank?
Answer:
Tuesday
Step-by-step explanation:
Given:
Monday: $1
Tuesday: $2
Wednesday: $3
Thursday: $4
Friday: $5
Saturday: $6
Sunday: $7
And after 24 days he had $93
____
So lets convert 24 days into weeks. A week has 7 days we divide 24/7 and get 3.42857 weeks or just have it as 3 weeks and 3 days.
24 days = 3 weeks and 3 days
Now we want to know how much does Eli make in 1 week, we add all the numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
Eli makes $28 in one week. And (28x3) in three weeks which is $84.
Now that we know that Eli made $84 in three weeks, we have three days left - now we calculate the difference.
93 - 84 = 9
Now these 9 dollars are split into three days. This means he started on Tuesday since Saturday is $7 and Monday is $1 and that sums it up to $8 and the first dollar was placed in his piggy bank on a Tuesday.
Rearrange t= 5s + 4 to make s the subject
Answer:
Subject 's' in terms of 't'
[tex]s = \frac{t-4}{5}[/tex]
Step-by-step explanation:
Explanation:-
Given that the subject 't in terms are 's'
Given that t = 5 s +4
subtracting '4' on both sides, we get
t - 4 = 5s +4-4
t - 4 = 5 s
Dividing '5' on both sides ,we get
[tex]\frac{t-4}{5} = \frac{5s}{5}[/tex]
[tex]\frac{5s}{5 } = \frac{t-4}{5}[/tex]
[tex]s = \frac{t-4}{5}[/tex]
Find an equation of the line that contains the point (-1,3) and is parallel to the line x+3y=6.
HELLPPPPPPPPPPPPPP PLEASE
Answer:
Step-by-step explanation:
3y = -x + 6
y = -1/3x + 2
y - 3 = -1/3(x + 1)
y - 3 = -1/3x - 1/3
y - 9/3 = -1/3x - 1/3
y = -1/3x + 8/3
Write each number in two equivalent forms as fraction, decimal, or percent.
0.29 35% 2/5
show work :D
Answer:
0.29 = 29% = [tex]\frac{29}{100}[/tex]
35% = 0.35 = [tex]\frac{7}{20}[/tex]
[tex]\frac{2}{5}[/tex]= 0.40 = 40%
Step-by-step explanation:
someone help pls!
4x+3=5x+21
Answer:
x=-18
Step-by-step explanation:
Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
15 cm
Answer:
45.6° (1 d.p)
Step-by-step explanation:
Using the cosine rule;
c = √( a² + b² - 2ab Cosx)
11 =√(8² + 15² - 2 (8) (15) Cosx)
11² = 8² + 15² - 240 Cosx
11² - 8² - 15² = - 240 Cosx
-168 = -240 cosx
cosx = 0.7
x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°
Answer:
45.6
Step-by-step explanation:
Lainey bought a set of 20 markers for $6
What is the cost of 111 marker?
Answer:
370
Step-by-step explanation:
First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333
Then find amount for all pencils
3.333 by 111 is 369.963
Then we round up to have a realistic amount of pencils to 370
What is 5% lower than 40?
Answer: 38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
Let's use benchmark fractions
What is 10% of 40?
that's 40/10 which is 4
What is half of 4?
4/2 = 2
That means 5% of 40 is 2
So then we do 40 - 2 = 38
The other way we can do it is by using percent proportions:
[tex]\frac{x}{95} \frac{40}{100} \\do:\\x=\frac{95 * 40}{100}[/tex]
[tex]x=\frac{3800}{100}[/tex]
[tex]x=38[/tex]
A circular dining room table has a radius of 3 feet of each person sitting at the table needs about 2 feet of space, how many people will fit at the table
Answer:
need to find the area of the circular dining room table which has a radius of 3 feet of each person sitting at the table needs about 2 feet of space how many people will fit at the table 3 feet of each person sitting at table needs about two feet of space than about five people will fit at the table
what is the slope of (4,-6) and (4,4)
Answer:
Undefined
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-(-6))/(4-4)
m=(4+6)/0
m=10/0
undefined
Coordinates (2,5) (6,11) what's the equation of the line?
Answer:
y= 2x+1
Step-by-step explanation:
Using the general linear form y=mx+c
First find the gradient: change in y/change in x
11-5/6-2 = 6/3= 2
y=2x+c
Secondly find out c:
Use one of the coordinats
5= 2(2)+c
5=4+c
-4
1=c
y= 2x+1
please solve this steps by step
1) (-5) - 5
2) (-10) + 11
Answer:
1) -10
2) 1
Step-by-step explanation:
1) (-5) - 5
- Removing the brackets won't change anything since it is subtraction, so now it will be - 5-5 which is equal to -10.
-5 -5 = -10
2) (-10) + 11
- The same case applies here since it is addition.
-10 + 11 = 1
Answer:
1) -10
2) -1
Step-by-step explanation:
[tex]( - 5) - 5 = - 10 \\ \\ ( - 10) + 11 = - 1 \: [/tex]
A cylinder has a base diameter of 20ft and a height of 5ft what is its volume in cubic ft round to the nearest tenths place
Answer:
1571 ft^3
Step-by-step explanation:
Given data
diameter= 20ft
radius= 20/2= 10 ft
Height= 5ft
Volume of cylinder = πr^2h
Substitute
V= 3.142*10^2*5
V= 3.142*100*5
V= 1571 ft^3
Hence the volume is 1571 ft^3
Answer:
1580.8 ft^3
Step-by-step explanation:
Can somebody pls help me with this??? It’s due at 11:59 pm and I am stuck! Will mark any one who can help me with this as Brainiest!
Answer:
a.
Step-by-step explanation:
A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.
Answer:
a and c
Step-by-step explanation:
both of them go up linear-ly
Plz help.... I will, I am offering 18 points on my other one. ( click on my profile to find it) plz help
Answer:
1)C
2)B
3)D
Step-by-step explanation:
1)C, since 160/3 does not equal to 55
2)B, since 2/8=0.25, 3/12=0.25 and so on
3)D, since 48/3=16
Hope I helped!
if the measure of two angles of a triangle are 62 and 93 than the measure of the third angle is 35. true or false if false why
Answer:
False
Step-by-step explanation:
All measures of triangle add up to 180°
[tex]A + B + C = 180[/tex]
[tex]62 + 93 + 35 = 190[/tex]
[tex]190 \neq 180[/tex]
[tex]62 + 93 + 25 = 180[/tex]
the third measure is [tex]25[/tex] not [tex]35[/tex].
plz mark me brainliest ;)
Does anyone know the answer? 19 points if u answer + brainliest answer! :P
Answer:
first start by finding the equation and then put it into photomath and then boom theres your answer hun
Step-by-step explanation:
∆ ABC is isosceles with AB= AC= 7.5cm and BC= 0 cm .the height AD from A to BC, is 6cm . find the area of ∆ ABC what will be the height from C to AB i.e., CE
I have attached an image of the triangle.
BC = 9 cm
Answer:
CE = 7.2 cm
Step-by-step explanation:
In the attached triangle, we see that;
AB = AC = 7.5cm
BC = 9 cm
AD = 6cm
BC = 9cm
Formula for area of triangle is given as;
A = ½bh
Where b is base and h is height.
For the ∆ ABC with BC as base,
Area = ½ × 9 × 6 = 27 m²
Similarly, For ∆ ABC with AB as base,
Area = ½ × 7.5 × CE
Now, area from earlier is 27 cm²
Thus;
½ × 7.5 × CE = 27
Multiply both sides by 2 to get;
7.5CE = 54
CE = 54/7.5
CE = 7.2 cm
what's 5x+6=36???????????
Answer:
x=6
Step-by-step explanation:
5*x+6=36
so 5*6=30
+6=36
Answer:
36
Step-by-step explanation:
please help me with this will give you brainliest!!
Answer:
They are both 122 degrees
Step-by-step explanation:
i don’t understand explain please
Answer:
d=65
f=73
e=the one triangle =180
65+73=138
180-138=42
e=42
Step-by-step explanation:
I think so
Which expression is equivalent to 1/3 divided by 1/6
Answer:
The answer is A
Step-by-step explanation:
cross mutliply
1×6=6
1×3=3
divide the answers
result: 2
I hope this helps
does anyone know the answer?????
Answer:
-3x + 7
Step-by-step explanation:
she used the y-intercept as the slope and the slope as the y- intercept.
Answer:
its y= -3x+7
Step-by-step explanation:
she used the x intercept for the y - intercept and the y- intercept for the c-intercept
A county in the shape of a rectangle has a length of 120 miles and a width of 80 miles. The population of the county is about 300,000 people. Find the population density in people per square mile. Round your answer to the nearest whole number. ---will give brainliest hurrryyy
The doctor recommended that Matt decrease thenumber of calories he consumed from 2,500 to 1,800. By what percent did the number of calories decrease?
Answer:
28 decrease
Step-by-step explanation:
2,500 - 1,800 = 700
700/2500 x 100 = 28
So its 28% decrease.