Answer:
Adult=4, Student=6
Step-by-step explanation:
a=adult, s=student
3a+8s=60 equation 1
10a+8s=88 equation 2
-3a-8s=-60 multiply equation 1 by -1
7a = 28 add above 2 equations
a=4
solve for s by inserting a value into either equation
3a+8s=60
3(4)+8s=60
12+8s=60
8s=48
s=6
65• 45• work out the size of angle
Answer:
x = 70
Step-by-step explanation:
The sum of the angles of a triangle add to 180
65+45+x = 180
Combine like terms
110+x = 180
Subtract 110 from each side
x = 180-110
x = 70
A debt payment of $5,500 is due in 27 months. If money is
worth 8.4% p.a. compounded quarterly, what is the equivalent
payment? Now? 15 months? 27 months? 36 months?
Step-by-step explanation:
A=P(1+0.084) ^n;
=5500(1
The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
Interest rate = 8.4/4 =2.1% = 0.021 every 3 months
The debt of $5500 is due in 27 months.
What is the formula to find compound interest?The formula to find the compound interest is [tex]FV=PV(1+r)^{n}[/tex].
Now, [tex]PV=FV(1+r)^{-n}[/tex].
The payment now:
5500*(1.021)^-9 = $4561.7450
So if $5500 is due in 27 months its current value is $4561.7450.
( b) 15 months from now? 5 quarters
FV(15months)= 4561.75*1.021^5
4561.75*1.021^5 = $5061.28
(c) 27 months from now? 9 quarters
FV(15 months)= $5500 that was given in the question
Verification:
FV(27months)=4561.75*1.021^9
4561.75*1.021^9 = $5500.00595
(d) 36 months from now? 12 quarters
FV(36months)=4561.75*1.021^12
4561.75*1.021^12 = $5853.83
Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.
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HELP PLEASE!!!! SHOW WORK!!!
7) Kristof wants to build a new rectangular pen for Sven to live in. Kristof measures and finds that the width of the fence is 3x + 4. He also knows that he wants the length of the fence to be 4 times the width.
a) Create an expression that could be used to find the perimeter of the fence.
b) If Kristof knows that the perimeter of the fence is 280 feet, what is the length and width of the fence?
Answer: 5
Step-by-step explanation:
URGENT PLS HELP!!!
divide £4500 in the ratio 3:7
Answer:
£1350 & £3150
Step-by-step explanation:
[tex]3x+7x=4500\\10x=4500\\x=450\\\\3(450)=1350\\7(450)=3150[/tex]
Find the equation of a line with slope - 5 passing through the point A(-3, 6).
Answer:
y=5x-9
Step-by-step explanation:
-5(-3)+b=6
15+b=6
B=-9
How do I solve this
Find the measure of the arc DC
Answer:
The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°
Step-by-step explanation:
Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 40 mi?
A. 10 miles
B. 220 miles
C. 1/10 miles
D. 180 miles
Answer:
d 180 miles
Step-by-step explanation:
4.5×40= 180 miles
The actual distance to college Lisa and Susan going together is 180 miles.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, The map scale is 1 in. = 40 mi.
Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.
Therefore,
The actual distance to college is,
= (4.5×40) miles.
= 180 miles.
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Write in slope-intercept form an equation of the line that passes through the points (-3, 2) and (1, -10).
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.
Answer:
Step-by-step explanation:
First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.
Total Students = 3 + 12 + 2 + 7 = 24 students
Probabilities:
does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5% (multiply decimal by 100 to get percentage.
Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%
Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%
Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%
What is the angle e in the triangle below? (Hint: Use an inverse trigonometric
function.)
A. 22.00
B. 45.30
C. 0.38
D. 68.00
Answer:
A
Step-by-step explanation:
sin θ=3/8
θ=sin ^{-1}(3/8)
≈22.02 °
Answer:
About 22 degrees
Step-by-step explanation:
Since we are given the opposite side measurement to the angle we wish to find and the hypotenuse measurement, we will want to use sine.
sin(theta)=3/8
theta=arcsin(3/8)
theta=22.024 approximately
Can someone please help me find the measure of angle ABO?
Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
Please help with this!
Answer:
pls help me tooo answer that
If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab
Answer:
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Step-by-step explanation:
Point P:
The coordinates of point P are (x,y).
AP=3/7 AB
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this both for coordinate x and coordinate y.
Coordinate x:
[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]
[tex]x + 2 = \frac{12}{7}[/tex]
[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]
Coordinate y:
[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]
[tex]y + 2 = -\frac{6}{7}[/tex]
[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
In a recent survey,5 out of every 11 dentists recommend fluoride. If there are 690 dentists surveyed, how many are recommend fluoride?
Answer:
314
Step-by-step explanation:
What equation is equivalent to (1/3)^x = 27^x+2?
Answer:
Step-by-step explanation:
B
help me pleaseee asap
Answer:
I think the answer is the blue box
Brainliest! How can I solve this?
can someone help please
the distance from the earth to the sun is( 1.496 x 10^11 ) m and the distance between earth and moon is 3.84 x 10^8 m. during solar eclipse, moon comes in between earth and sun, at the time what is the distance between moon and sun?
Answer:
1.49216 x 10^11 m.
Step-by-step explanation:
That would be the following difference:
1.496 x 10^11 - 3.84 x 10^8
= 1.49216 x 10^11 m.
\ 4 people are going to a dinner party. Each person at the party will eat 56 pound of salad. If you can only buy whole pounds of salad, how many pounds should you buy?
Answer:
224 pounds
step by step :
one person eat 56 pound and we have four person so we must say that :
56 × 4 = 224 pounds
what is the distance between a and b
a 45
b 20
c 25
d 60
If the measure of arc CB is 8/3 pi units, what is the measure of angle CAB
Answer:
120° = CAB
arc lenght = CÁB/ 360 × 2(pi)(4)
a/2pi(4) = CAB/360
8/3(pi)/2(pi)(4) × 360 = CÁB
120 = CAB
Answer:
120°
Step-by-step explanation:
that is the procedure above
Please help test tomorrow everything you need is in the photo below
Answer:
yes
Step-by-step explanation:
please I really need the help:(
Answer:
41
Step-by-step explanation:
The formula for solving for sin is opposite side/hypotenuse.
The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).
sin A = 28/53
A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.
A ≈ 41
Hope this helped! <3
On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12
Answer:
1 : 64
Step-by-step explanation:
We require the dimensions to be the same units
1 foot = 12 inches , then
85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches
Scale is then
16 in : 1024 in ( divide both parts by 16 )
= 1 : 64
Michals basketball team practiced for 2hours 40 minutes yesterday and 3 hours 15 minutes today how much longer did the team practice today than yesterday
Answer:
35 minutes
Step-by-step explanation:
The is calculated using the Subtraction operation
The number of minutes longer the team practiced today than yesterday =
Number of minutes they practiced today - Number of minutes they practiced yesterday
Number of minutes they practiced today = 3 hours 15 minutes
Number of minutes they practiced yesterday = 2hours 40 minutes
The number of minutes longer the team practiced today than yesterday =
3 hours 15 minutes - 2hours 40 minutes
= 35 minutes
Therefore, the team practiced 35 minutes longer today than yesterday
need help asapppp!!! plz i will give brainliest to the person with the correct answer
Answer:
Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.
Step-by-step explanation:
Multiplying x by a number greater than 1 will stretch the parabola.
Changing x from positive to negative and vice versa reflects the parabola over the x-axis.
Surface area.. please answer
[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]
Given terms :
[tex]\hookrightarrow \: length = 8 \: in[/tex]
[tex]\hookrightarrow \: width = 2 \: in[/tex]
[tex] \hookrightarrow \: height = 12 \: in[/tex]
we know,
[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]
[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]
[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]
[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]
[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]
____________________________________
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
the eqashion -4 x <-2
Answer:
8
Step-by-step explanation: