The ratio of sugar to flour in Sydney's favorite recipe for chocolate chip cookies is 3 to 2. If Sydney used 20 tsp of flour, how many tsp of sugar did she use?
Answer:
30 tsp of sugar
Step-by-step explanation:
If 20 is 2 parts of the 5 parts then 1 part is 10
10x3 =30
30 to 20 = 3 to2
Cecelia receives two credit card offers in the mail. Each has a 0% introductory APR. After the introductory period, the first card has an APR of 19.99% and the second card has an APR of 24.99%. If each card has a late fee of $35 and an annual membership fee of $25, which card should she choose and why?
Answer:
1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35
Then we must consider the APR after the initial value 19.999% < 24.99%Hence she should price the first card with a 19.99% APR
There are 25 students' names in a hat. You choose 5 names. Three are
boys' names and two are girls' names. How many of the 25 names would
you expect to be boys' names?
Show all of your work do in 10 minutes
Answer:
15
Step-by-step explanation:
You have to calculate the boys name using ratio expression.
3/5 × 25
= 15
Determine which number is in "proper" scientific notation.
The number that is in "proper" scientific notation is A. 2.31 * 10^-4
What is scientific notation?A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. When a number is too big or too small to be conveniently stated in decimal form, or if doing so would involve writing out an exceptionally long string of digits, it can be expressed using scientific notation. It is also known as standard form in the scientific form, standard index form, and standard form.
The number on the left in scientific notation always consists of a single digit, a decimal point, and the appropriate (see important figures) number of digits after the decimal.
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Choose the repeating decimal that is equal to
the fraction on the left.
0.17
0.351
0.17
0.351
0.351
58
165
79
225
13
37
ОО
ОООО
8
45
ООО
17
99
Step-by-step explanation:
[tex] \frac{58}{165}[/tex]
[tex] \frac{79}{225} [/tex]
[tex] \frac{13}{37} [/tex]
[tex] \frac{8}{45} [/tex]
[tex] \frac{17}{99} [/tex]
The answer is in the picture shown here
<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5
Here <5=<8 then
<7=<6=29[tex]\\ \sf\longmapsto <7+<8=90[/tex]
[tex]\\ \sf\longmapsto 29+<8=90[/tex]
[tex]\\ \sf\longmapsto <8=90-29[/tex]
[tex]\\ \sf\longmapsto <8=61[/tex]
<5=61°How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long
Answer:
[tex]14\frac{2}{11}[/tex] ft
Step-by-step explanation:
Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:
[tex]\frac{x}{26} =\frac{6}{11}[/tex]
Now, to solve for x, we can cross-multiply:
11x = 6*26
11x = 156
x = [tex]14\frac{2}{11}[/tex]
Can Someone Please Explain This To Me
Answer:
maybe but (-4,2) only because the -4 is in the x place (x,y)
Step-by-step explanation:
Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.
What is the perimeter of the recangle 6 in by 8 by6 by 8
Answer:
28
Step-by-step explanation:
6+8+6+8
6+8=14x2=28
Answer:
28
Step-by-step explanation:
P = 2(l+ w)
2(6+ 8) =
2(14)=
28
Hope this helps.
What is 10% Compound interest of R15 000 every month for 3 years?
Answer:
19500
Step-by-step explanation:
30/100 X 15000 = 4500
15000 + 4500 = 19500
Answer:
A = $19,965.00
A = P + I where
P (principal) = $15,000.00
I (interest) = $4,965.00
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 15,000.00(1 + 0.1/1)(1)(3)
A = 15,000.00(1 + 0.1)(3)
A = $19,965.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 10% per year compounded 1 times per year over 3 years is $19,965.00.
draw a number line and represent the following rational number 5 upon 4
plz help me in this question
class 7
i will mark brainliest
Answer:
First we need to convert this fraction number to decimal then only we caan mark that on a number line
[tex]\frac{5}{4}[/tex] divide
You will get 1.25
Now mark 1.25 on number line
A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.
Step-by-step explanation:
The student incorrectly performed a rotation of 90° clockwise.
Answer:
C, the student incorrectly preformed a rotation of 90 degrees clockwise.
Step-by-step explanation:
The illustration below shows the graph of y as a function of x.
Complete the sentences below based on the graph of the function.
As x increases, y _____
The rate of change for y as a function of x is ______
therefore the function is_____
For all values of x, the function value y____ 0
The y-intercept of the graph is the function value y=______
When x=6 equals, 6, the function value y=____
As x increases, y increases
The rate of change for y as a function of x is 1.4
therefore the function is growth function
For all values of x, the function value y increases
The y-intercept of the graph is the function value y 1
When x = 6, the function value y = 7.5
How to find the rate of change of for the functionFor an exponential function, the rate of change is b, in the equation
= f(x) = abˣ
From the graph, points (0, 1), and (2, 2) will be used for the calculation
Exponential function is represented by f(x) = abˣ
for x = 0, f(x) = 1
1 = a * b^0
a = 1
for x = 2, f(x) = 2
2 = 1 * b^2
2 = b^2
b = √2 = 1.414
for increasing rate, b = 1 + r
1.41 = 1 + r, r = 41%
When x = 6
= 1 * 1.4^6
= 7.5
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HELP MEE !!!!!!!!!!!!!!!!!!!!
Answer:
It is D
9 * (12 + 7) = 9 * 19 = 171
now we test to see if 9 * 12 + 9 * 7 is the same
9 * 12 = 108
9 + 7 = 63
108 + 63 = 171
Step-by-step explanation:
A good doctor recommends that a person who weighs 65 pounds be given 200
milligrams of medicine. If the dosage were proportional to a person's weight, how
many milligrams of medicine would the doctor recommend for a person who
weighs 96 pounds?
9514 1404 393
Answer:
295 mg
Step-by-step explanation:
The proportion can be written ...
dose/(96 lb) = (200 mg)/(65 lb)
dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units
The doctor might recommend 295 mg for a 96-pound patient.
7. Sorav bought a jacket for Rs. 2500 sold it for Rs. 1900. Find her loss.
Answer:
600
Step-by-step explanation:
if SP>CP,
It is profit [SP - CP = Profit]
if CP>SP,
It is loss [CP - SP = Loss]
Here in the question CP>SP so,
loss = CP - SP
=2500 - 1900
= 600
Answer:
24
Step-by-step explanation:
C.P=2500
S.P=1900
Here,
Cp>Sp
So,
Loss= cp-sp
---------- ×100%
cp
=2500-1900
----------------- ×100%
2500
= 600
------- ×100 %
2500
= 24.
If it wrong, then sorry .Hope it helps you.(x+1)/5 + (x+1)/6 + (x+1)/7 + (x+1)/8 + (x+1)/9 + (x+1)/10 = 0
Step-by-step explanation:
[tex] \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0[/tex]
[tex](x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0[/tex]
Since the second factor is non-zero, the only possible condition for the equation to hold is,
[tex]x + 1 = 0[/tex]
[tex]x = - 1[/tex]
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.
Jane is
years old.
Harvey is
years old.
Answer:
Jane is 12 and Harvey is 36
Step-by-step explanation:
3x+x=48
4x=48
x=12
3(12)=36
1(12)=12
jasper had 3 5/6 feet of rope. He cut off two pieces that were 1 2/3 feet each for a project. How many rope does Jasper have left?
Answer:
Jasper have left 1/2 feet
Step-by-step explanation:
3 5/6 - (1 2/3 x 2)
= 23/6 - 10/3
= 23/6 - 20/6
= 1/2
Answer:
Jasper has [tex]3/6[/tex] feet of rope left.
Step-by-step explanation:
[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]
evaluate the expression
Step-by-step explanation:
13
[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]
[tex]3 + 4 - 4 = 3[/tex]
15
[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]
[tex] \frac{10 - 9}{20 - 12} [/tex]
[tex] \frac{1}{8} [/tex]
Solve for w.
|5w + 7) = |5w + 8)
please help :)
Answer:
w=3/2
Step-by-step explanation:
[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]
Is 9pi rational or irrational
Answer:
irrational
Step-by-step explanation:
every number that times with pi are irrational, only zero gives a rational number
Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?
Step-by-step explanation:
Please mark me as brainlyest
3x + 2
given f(x) =
What is f(1)?
X-1
Answer:
D
Step-by-step explanation:
f(1)=(3+2)/(0)=5/0 which means f(1) doesn't exist
What's the X-Intercepts of (2x-5)(x+1)=9 or (2x-5)(x+1)-9
Answer:
Step-by-step explanation:
Either way works. It comes to the same thing.
(2x-5)(x+1)=9
F: 2x*x = 2x^2
O: 2x*1 = 2x
I: -5 * x = -5x
L: -5*1 = -5
2x^2 + 2x - 5x - 5 = 9 Subtract 9 from both sides
2x^2 - 3x - 14 =0 Divide by 2 (it makes life easier).
Factoring you get
(2x - 7)(x + 2)
2x - 7 = 0
2x = 7
x = 3.5
x + 2 = 0
x = -2
The x intercepts = (3.5,0) and (-2,0)
I've put a graph up for the given equation.
What is the value of (-1/4 - 1/2) ÷ (-4/7)
Answer:
1 5/16
Step-by-step explanation:
(-1/4 - 1/2) ÷ (-4/7)
Parentheses first
Get a common denominator
(-1/4 - 1/2 *2/2)
(-1/4 - 2/4)
-3/4
Replace in the equation
(-3/4 ) ÷ (-4/7)
Copy dot flip
-3/4 * -7/4
21/16
1 5/16
[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]
[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]
Average rate of change question
Answer:
Step-by-step explanation:
which graph shows x =4?
Answer:
second graph shows x=4 because you can see from origin point and counting will makex=4
-3/5+2/3 pls help now
need help with this!
9514 1404 393
Answer:
a(n) = 1/2(-8)^(n-1)
Step-by-step explanation:
The general term of a geometric sequence is ...
a(n) = a(1)×r^(n-1)
where a(1) is the first term, and r is the common ratio.
Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...
a(n) = 1/2(-8)^(n-1)