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Scorpion4ik [409]

2 years ago

8

Maria fills a 1/4 measuring cup 3 times with sugar a 1/3 measuring cup 4 times with flour and 1/2 measuring cup 3 times with wat

er. How many total cups of ingredients did Maria use altogether ?

1 answer:

Katyanochek1 [597]2 years ago

3 0

Hey um out those numbers in a Cauc and you should get you answer

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When the new principal on a loan is $79,946.13 and the interest rate is 8 percent, the monthly payment is $587.20. Find the inte

lesya [120]

9514 1404 393

Answer:

to interest: $532.97
to principal: $54.23
new balance: $79,891.90

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

$79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

= $532.97

The interest amount in the first payment is $532.97.

__

The amount of the first payment that goes to principal is what is left after the interest is paid:

$587.20 -532.97 = $54.23 . . . amount to principal

__

The new balance is the previous balance less the amount to principal:

$79,946.13 -54.23 = $79,891.90 . . . new balance

7 0

2 years ago

Geometry help! Picture included :)

AURORKA [14]

Set up a proprtion and cross multiply.

18/7.5=22/4x+1

7.5×22=18 (4x+1)
165=72x+18
147=72x
x=2.04

8 0

3 years ago

Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of

Pavel [41]

$\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z$

Let $S$ be the surface of the rectangular prism bounded by the planes $x=0$ , $x=a$ , $y=0$ , $y=b$ , $z=0$ , and $z=c$ . By the divergence theorem, the integral of $\vec F$ over $S$ is given by the integral of $\nabla\cdot\vec F$ over the interior of $S$ (call it $R$ ):

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV$

$=\displaystyle\int_0^c\int_0^b\int_0^a(8x+8y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{abc(4a+4b+3c)}$

5 0

3 years ago

Angle 6 is congruent to angle 3. Angle 3 is congruent to angle 1. So angle 6 is congruent to angle 1

dangina [55]

Answer:

Yes

Step-by-step explanation:

Congruent means equivalent so if <6 is = to <3 then due to <3 being = to <1 <6 also has to be = to <1.

7 0

2 years ago

Raniyah lived in Spain and Colombia for a total of 12 months in order to learn Spanish. She learned an average of 104 words per

Nadya [2.5K]

Step-by-step explanation:

that means she spent 3months in Spain to learn Spanish while she spent 9months in colombia

7 0

3 years ago