Maria started the year with $235 in the bank and is saving $15 a week. Sergio started with $685 and is spending $35 a week. When will they both have the same amount of money in the bank? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.
Answer:
9 weeks
Step-by-step explanation:
let the time when they will both have the same amount be x
since Maria is saving then her money is bound to increase
therefore amount she will have after x weeks=235+15x
Sergio is spending so his money is reducing
therefore amount he will have after x weeks=
685-35x
so
235+15x=685-35x
685-235=15x+35x
450=50x
x= 450/50
9weeks
Directions: Write your answers on your paper.Show your solutions with checking.
#1. Convert the decimal number 10 to a binary digit.
#2.Give the types of Mult-meter (VOM) and differential each function.
Nonsense = Reported!!
Answer:
1010See below ~Step-by-step explanation:
Q1
Decimal number 10 written in binary terms is 1010Q2
There are different types of multimeters like Analog, Digital, and Fluke multimetersFunctions :Resistance in OhmsCapacity in FaradsThe temperature in Fahrenheit/ CelsiusAC Voltage & AmperageInductance HenrysDC Voltage & AmperageFrequency in HzConductance in SiemensDecibelsDuty Cyclehope it helps you
# 1
Conversion of decimal number 10 into binary is:
10 / 2 = 5 with remainder 0
5 / 2 = 2 with remainder 1
2 / 2 = 1 with remainder 0
1 / 2 = 0 with remainder 1
Therefore, the 10 in decimal is equal to 1010 in binary.
# 2
Analog multimeters are multifunction electrical measuring instruments with indicationby means of an arrow (analog) scale.
Modern analog multimeter
Advantages of analog multimeters:
Possibility to carry out measurements at low temperatures down to -30 ° С.Fast operation with a large amount of measurements, when high precision is not required.Do not require power consumption from the built-in power supply in the mode of voltage and current measurement.Instant display of the dynamics of the signal change.
Disadvantages and features:
Non-linear scale and setting zero before starting measurements.Absence of automatic detection of voltage polarity.A small set of functions: most models can measure only DC and AC voltage, DC current and resistance.Low input resistance and, consequently, a high error in low-voltage measurements.Sensitivity to mechanical damage, vibration.
Digital multimeters are modern, reliable measuring devices characterized by high measurement accuracy and various functional capabilities. Digital devices have replaced analogue in connection with the possibility of wide application of semiconductor technologies. Today most of the produced multimeters are digital. Specialists working with electrical equipment, if necessary, can choose among the digital multimeters a model focused on a specific task.
Advantages of digital multimeters:
Maximum possible measurement accuracy.Automatic polarity detection: If the probes are connected incorrectly, the correct values with a minus sign appear on the screen.Possibility of automatic and manual selection of measuring ranges.Multifunctionality.Does not require mandatory zero adjustment.The accuracy of the meter reading does not depend on the battery charge.Resistance to mechanical damage.The ability to record measurement results in memory and synchronize with a PC.
find the volume of a rectangular pyramid
Answer:
192 yd³
Step-by-step explanation:
The volume of a rectangular pyramid is given by the formula:
[tex]V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}[/tex]
In this case: [tex]l = 9, w=8, h = 8[/tex]
[tex]\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3[/tex]
Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?
The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Dots sells T-shirts ($5) and shorts ($9).
In April, total sales were $570. People bought 2 times as many T-shirts as shorts.Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,
[tex]5x+9y=570[/tex]
Solve it further,
[tex]5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}[/tex] ....1
People bought 2 times as many T-shirts as shorts. Thus,
[tex]x=2y[/tex] ....1
Put the value of y form equation in this equation as,
[tex]x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60[/tex]
Put this value of x in equation 2 as,
[tex]x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30[/tex]
Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
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"I was told I would receive a 15% credit on the fee to activate my service but I was still charged $50.00."
Answer:
Based on the given conditions;
50÷(1-15℅)
=50/1-0.15
=50/0.85
=1000/17
WILL GIVE BRAINLIEST, STARS, POINTS, AND THANK YOU FOR THE RIGHT ANSWER!!!
PLEASE. PLEASE HELP MEEE.
Computing Residuals
1/3
The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 11 different months.
The equation of the line of best fit is y= -1.1x + 91.30
Use the equation of the line of best fit to fill in the blanks below.
Give exact answers, not rounded approximations.
Answer:
1st blank: $51.00. 3rd blank: 1.1 5th blank: 24.2
2nd blank: $67.00. 4th blank: 91.30. 6th blank: -57.4
Step-by-step explanation:
4. Find the length of a diagonal of a rectangle ABCD with vertices A (-3, 1), B (-1, 3), C (3, -1),
and D (1,-3).
Answer:
Step-by-step explanation:
How do you put x=y-1
into word form
Answer:
x equals y minus one
Step-by-step explanation:
= means equals
- is minus
x and y cannot be put into any other (word) form
hope this helps:)
) Which expression is equivalent to 5(x + 7)?
Answer:
= 5x +35
Step-by-step explanation:
Steps
5(x+7)
Apply the distributive law: ab+c) = ab + ac
5(x+7) =5x + 5: 7
=5X+5: 7
Multiply the numbers: 5 7= 35
= 5x +35
What is 69.1% as a decimal?
Answer:
0.691
Step-by-step explanation:
Since a percentage means out of 100, divide the percentage by 100
69.1÷100= 0.691
0.691
100% = 1.00 helps me remember where the decimal goes.
a lion gamer spent a total of 400$. the circle graph shows what percent was spent on each item. find the amount spent on a.costume b.chairs c. whips
B. chair no costume also whips
HELP Identify the exponential function shown in the graph
Answer:
C
Step-by-step explanation:
Points given are
(0,8) and (1, 16)
The first point given is the y-intercept, 8
The y-intercept of A is 2
The y-intercept of B is 16
The y-intercept of C is 8
the y-intercept of D is 16
The only one that works is C
Equation of the line passing through (7,5) and (1, 2)
Answer:
[tex]y = \frac{1}{2}x + \frac{3}{2}[/tex]
Step-by-step explanation:
Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:
plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]
and solving for b, we get b = [tex]\frac{3}{2}[/tex]
therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].
hope this helps!
You need to spend at least $50 in one day to receive a store discount. You have already spent $30. Let s be the amount of money (in dollars) you can now spend to qualify
for the discount. Which inequality and solution represent this situation?
s+30<50; 8 < 20
s+30 ≤ 50; s ≤ 20
s+30> 50; 8 > 20
s+ 30 ≥ 50; 8 ≥ 20
Answer: s + 30 ≥ 50; s ≥ 20
Step-by-step explanation:
let s be the amount you have yet to spend in order to reach $50 or more
you already have $30.
This means you need to spend at least $20 more ($50 - $30 = $20)
S can be greater than or equal to $20 because your total will be 50 or more, therefore qualifying for the discount.
3 questions, worth a lot of points
Why were the Jews victims of genocide during World War II?
Bankers for the previous corrupt German government had been mostly from Jewish families.
Many Germans believed that Jews had masterminded the Russian communist revolution.
Many believed that the Jews were planning to take control of the German parliament.d masterminded the Russian communist revolution.
The German government was determined to eliminate all non-Christians from German soil.A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A. 2/5
B. 4/9
C. 1/2
D. 5/9
Answer:
4/9
Step-by-step explanation:
4/9 is the answer. In the bag there are 10 marbles in total. If I draw a pink marble, there are now 9 marbles and 4 of them are pink, so the answer is 4/9, or B.
Answer:
4/9
Step-by-step explanation:
It's correct!
Write a part -to part ratio that compares the girls to boy . Write this in 3 different forms
The ratio of girls to boys is 4:5.
For every four girls that are in the camp, there are five boys.
The ratio of girls to boys is 4/5.
The ratio of boys to girls is 5:4.
The ratio of boys to girls is 5/4.
The ratio of boys to girls is 1 1/4.
What are the ratios?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.
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Bob's living room floor is a rectangle that measures 9 feet by 12 feet. What is the diagonal distance, in feet, across the floor? A. 13 B. 15 C. 16 D. 21
Answer:
B
Step-by-step explanation:
here, we can use the pythagorean theorem. more info here: https://en.wikipedia.org/wiki/Pythagorean_theorem
formula: a^2+b^2=c^2
so we can apply the formula by doing this:
9^2+12^2=c^2
81+144=c^2
81+144=225
c=√225
c=15
solved
Heyi please help :)
Solve for W: WXY=Z
Answer:
W = ZXY
Step-by-step explanation:
I need help figuring it out
Answer:
a pendulum consists of a mass hanging at the end of a string which is 18 cm long. find the vertical height through which the mass rises and falls as the pendulum swings through 30°on each side of the vertical.
Answer:
1. P = IRT
T = P/IR
2. A = 2(L + W)
L + W = A/2
W = A/2 - L
3. y = 5x - 6
x = (y +6)/5
4. 2x - 3y = 8
y = (2x - 8)/3
5. (x+y)/3 = 5
x = 5×3 - y
x = 15 - y
6. y = mx + b
b = y - mx
7. ax + by = c
by = c - ax
y = (c - ax)/b
Hope it helps!
3ª = 69
Help pleaseeee it’s solving exponential equations with logarithms worksheet
Answer:
a = 3.8540
Step-by-step explanation:
3ª = 69
ln 3ª = ln69
a * 1n3/1n3 = ln69/ln3
a = 3.8540
please mark brainliest if i got it correct. if i didn't sorry :(
Find the surface area
Answer:
the surface area is 648
Solution:
A=2(wl+hl+hw)=2·(9·9+13.5·9+13.5·9)=648
Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043
Answer:
y=2
Step-by-step explanation:
due to diagram have done the steps in the image
Please help on this math question!!!
What is the measure of n?
m
n
8
4
ከ =
4V[?]
Give your answer in simplest form.
Enter
The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We can use the altitude rule:
8/n = n/4
n² = 32
n = √32
Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=3), n=8, p=0.2
Answer:
P(X = 3) = 0.14680064
Step-by-step explanation:
Formula=============================
[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]
……………………………………………………………………..
Given :
n = 8
p = 0.2
1 - p = 1 - 0.2 = 0.8
k = 3
Then
[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]
[tex]=0.14680064[/tex]
HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00
What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >
HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00
What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >
A cube has a volume of 64 cubic inches. If you double the length of each edge what will be the volume of the new cube?
Answer:
512 cubic inches
Step-by-step explanation:
[tex] \sqrt[3]{64} = 4[/tex]
[tex] {8}^{3} = 512[/tex]
I really need help with this Helpppp please
square of 5=25
square of 10=100
cube of (-2) =-8
square of (-3)=9
b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment. Monthly Payment: Total Amount Paid:
Answer:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
Step-by-step explanation:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?